TSTP Solution File: HWV043_7 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV043_7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 02:12:15 EDT 2022
% Result : Unsatisfiable 48.47s 31.40s
% Output : Proof 51.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HWV043_7 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 31 22:35:17 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34 Usage: tptp [options] [-file:]file
% 0.14/0.34 -h, -? prints this message.
% 0.14/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.34 -m, -model generate model.
% 0.14/0.34 -p, -proof generate proof.
% 0.14/0.34 -c, -core generate unsat core of named formulas.
% 0.14/0.34 -st, -statistics display statistics.
% 0.14/0.34 -t:timeout set timeout (in second).
% 0.14/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34 -<param>:<value> configuration parameter and value.
% 0.14/0.34 -o:<output-file> file to place output in.
% 48.47/31.40 % SZS status Unsatisfiable
% 48.47/31.40 % SZS output start Proof
% 48.47/31.40 tff(v215_type, type, (
% 48.47/31.40 v215: state_type > $o)).
% 48.47/31.40 tff(constB13_type, type, (
% 48.47/31.40 constB13: state_type)).
% 48.47/31.40 tff(sK_VarCurr_type, type, (
% 48.47/31.40 sK_VarCurr: state_type)).
% 48.47/31.40 tff(constB121_type, type, (
% 48.47/31.40 constB121: state_type)).
% 48.47/31.40 tff(v211_type, type, (
% 48.47/31.40 v211: state_type > $o)).
% 48.47/31.40 tff(v209_type, type, (
% 48.47/31.40 v209: state_type > $o)).
% 48.47/31.40 tff(v254_type, type, (
% 48.47/31.40 v254: state_type > $o)).
% 48.47/31.40 tff(v216_type, type, (
% 48.47/31.40 v216: ( state_type * $int ) > $o)).
% 48.47/31.40 tff(v244_type, type, (
% 48.47/31.40 v244: state_type > $o)).
% 48.47/31.40 tff(v248_type, type, (
% 48.47/31.40 v248: state_type > $o)).
% 48.47/31.40 tff(v232_type, type, (
% 48.47/31.40 v232: state_type > $o)).
% 48.47/31.40 tff(v236_type, type, (
% 48.47/31.40 v236: state_type > $o)).
% 48.47/31.40 tff(v222_type, type, (
% 48.47/31.40 v222: state_type > $o)).
% 48.47/31.40 tff(v223_type, type, (
% 48.47/31.40 v223: ( state_type * $int ) > $o)).
% 48.47/31.40 tff(v227_type, type, (
% 48.47/31.40 v227: state_type > $o)).
% 48.47/31.40 tff(v201_type, type, (
% 48.47/31.40 v201: state_type > $o)).
% 48.47/31.40 tff(v198_type, type, (
% 48.47/31.40 v198: state_type > $o)).
% 48.47/31.40 tff(v142_type, type, (
% 48.47/31.40 v142: state_type > $o)).
% 48.47/31.40 tff(v144_type, type, (
% 48.47/31.40 v144: state_type > $o)).
% 48.47/31.40 tff(v88_type, type, (
% 48.47/31.40 v88: ( state_type * $int ) > $o)).
% 48.47/31.40 tff(v90_type, type, (
% 48.47/31.40 v90: ( state_type * $int ) > $o)).
% 48.47/31.40 tff(constB120_type, type, (
% 48.47/31.40 constB120: state_type)).
% 48.47/31.40 tff(v100_type, type, (
% 48.47/31.40 v100: state_type > $o)).
% 48.47/31.40 tff(v110_type, type, (
% 48.47/31.40 v110: state_type > $o)).
% 48.47/31.40 tff(v108_type, type, (
% 48.47/31.40 v108: state_type > $o)).
% 48.47/31.40 tff(constB119_type, type, (
% 48.47/31.40 constB119: state_type)).
% 48.47/31.40 tff(v112_type, type, (
% 48.47/31.40 v112: state_type > $o)).
% 48.47/31.40 tff(v113_type, type, (
% 48.47/31.40 v113: state_type > $o)).
% 48.47/31.40 tff(v114_type, type, (
% 48.47/31.40 v114: state_type > $o)).
% 48.47/31.40 tff(v124_type, type, (
% 48.47/31.40 v124: state_type > $o)).
% 48.47/31.40 tff(constB118_type, type, (
% 48.47/31.40 constB118: state_type)).
% 48.47/31.40 tff(constB117_type, type, (
% 48.47/31.40 constB117: state_type)).
% 48.47/31.40 tff(v115_type, type, (
% 48.47/31.40 v115: state_type > $o)).
% 48.47/31.40 tff(v123_type, type, (
% 48.47/31.40 v123: state_type > $o)).
% 48.47/31.40 tff(constB116_type, type, (
% 48.47/31.40 constB116: state_type)).
% 48.47/31.40 tff(v129_type, type, (
% 48.47/31.40 v129: ( state_type * $int ) > $o)).
% 48.47/31.40 tff(v127_type, type, (
% 48.47/31.40 v127: ( state_type * $int ) > $o)).
% 48.47/31.40 tff(constB115_type, type, (
% 48.47/31.40 constB115: state_type)).
% 48.47/31.40 tff(v130_type, type, (
% 48.47/31.40 v130: ( state_type * $int ) > $o)).
% 48.47/31.40 tff(v122_type, type, (
% 48.47/31.40 v122: state_type > $o)).
% 48.47/31.40 tff(constB114_type, type, (
% 48.47/31.40 constB114: state_type)).
% 48.47/31.40 tff(constB113_type, type, (
% 48.47/31.40 constB113: state_type)).
% 48.47/31.40 tff(v121_type, type, (
% 48.47/31.40 v121: state_type > $o)).
% 48.47/31.40 tff(v120_type, type, (
% 48.47/31.40 v120: state_type > $o)).
% 48.47/31.40 tff(constB111_type, type, (
% 48.47/31.40 constB111: state_type)).
% 48.47/31.40 tff(constB107_type, type, (
% 48.47/31.40 constB107: state_type)).
% 48.47/31.40 tff(constB105_type, type, (
% 48.47/31.40 constB105: state_type)).
% 48.47/31.40 tff(constB103_type, type, (
% 48.47/31.40 constB103: state_type)).
% 48.47/31.40 tff(constB101_type, type, (
% 48.47/31.40 constB101: state_type)).
% 48.47/31.40 tff(constB99_type, type, (
% 48.47/31.40 constB99: state_type)).
% 48.47/31.40 tff(constB91_type, type, (
% 48.47/31.40 constB91: state_type)).
% 48.47/31.40 tff(constB87_type, type, (
% 48.47/31.40 constB87: state_type)).
% 48.47/31.40 tff(constB86_type, type, (
% 48.47/31.40 constB86: state_type)).
% 48.47/31.40 tff(constB85_type, type, (
% 48.47/31.40 constB85: state_type)).
% 48.47/31.40 tff(v26_type, type, (
% 48.47/31.40 v26: state_type > $o)).
% 48.47/31.40 tff(v125_type, type, (
% 48.47/31.40 v125: state_type > $o)).
% 48.47/31.40 tff(constB84_type, type, (
% 48.47/31.40 constB84: state_type)).
% 48.47/31.40 tff(constB83_type, type, (
% 48.47/31.40 constB83: state_type)).
% 48.47/31.40 tff(constB82_type, type, (
% 48.47/31.40 constB82: state_type)).
% 48.47/31.40 tff(constB81_type, type, (
% 48.47/31.40 constB81: state_type)).
% 48.47/31.40 tff(constB80_type, type, (
% 48.47/31.40 constB80: state_type)).
% 48.47/31.40 tff(constB79_type, type, (
% 48.47/31.40 constB79: state_type)).
% 48.47/31.40 tff(v116_type, type, (
% 48.47/31.40 v116: state_type > $o)).
% 48.47/31.40 tff(constB78_type, type, (
% 48.47/31.40 constB78: state_type)).
% 48.47/31.40 tff(constB77_type, type, (
% 48.47/31.40 constB77: state_type)).
% 48.47/31.40 tff(v117_type, type, (
% 48.47/31.40 v117: state_type > $o)).
% 48.47/31.40 tff(constB76_type, type, (
% 48.47/31.40 constB76: state_type)).
% 48.47/31.40 tff(constB75_type, type, (
% 48.47/31.40 constB75: state_type)).
% 48.47/31.40 tff(v118_type, type, (
% 48.47/31.40 v118: state_type > $o)).
% 48.47/31.40 tff(constB74_type, type, (
% 48.47/31.40 constB74: state_type)).
% 48.47/31.40 tff(constB73_type, type, (
% 48.47/31.40 constB73: state_type)).
% 48.47/31.40 tff(constB72_type, type, (
% 48.47/31.40 constB72: state_type)).
% 48.47/31.40 tff(constB71_type, type, (
% 48.47/31.40 constB71: state_type)).
% 48.47/31.40 tff(constB70_type, type, (
% 48.47/31.40 constB70: state_type)).
% 48.47/31.40 tff(constB69_type, type, (
% 48.47/31.40 constB69: state_type)).
% 48.47/31.40 tff(constB68_type, type, (
% 48.47/31.40 constB68: state_type)).
% 48.47/31.40 tff(constB67_type, type, (
% 48.47/31.40 constB67: state_type)).
% 48.47/31.40 tff(constB66_type, type, (
% 48.47/31.40 constB66: state_type)).
% 48.47/31.40 tff(constB65_type, type, (
% 48.47/31.40 constB65: state_type)).
% 48.47/31.40 tff(constB64_type, type, (
% 48.47/31.40 constB64: state_type)).
% 48.47/31.40 tff(constB63_type, type, (
% 48.47/31.40 constB63: state_type)).
% 48.47/31.40 tff(constB62_type, type, (
% 48.47/31.40 constB62: state_type)).
% 48.47/31.40 tff(constB61_type, type, (
% 48.47/31.40 constB61: state_type)).
% 48.47/31.40 tff(constB60_type, type, (
% 48.47/31.40 constB60: state_type)).
% 48.47/31.40 tff(constB59_type, type, (
% 48.47/31.40 constB59: state_type)).
% 48.47/31.40 tff(constB58_type, type, (
% 48.47/31.40 constB58: state_type)).
% 48.47/31.40 tff(constB57_type, type, (
% 48.47/31.40 constB57: state_type)).
% 48.47/31.40 tff(constB56_type, type, (
% 48.47/31.40 constB56: state_type)).
% 48.47/31.40 tff(constB55_type, type, (
% 48.47/31.40 constB55: state_type)).
% 48.47/31.40 tff(constB54_type, type, (
% 48.47/31.40 constB54: state_type)).
% 48.47/31.40 tff(constB53_type, type, (
% 48.47/31.40 constB53: state_type)).
% 48.47/31.40 tff(constB52_type, type, (
% 48.47/31.40 constB52: state_type)).
% 48.47/31.40 tff(constB51_type, type, (
% 48.47/31.40 constB51: state_type)).
% 48.47/31.40 tff(constB50_type, type, (
% 48.47/31.40 constB50: state_type)).
% 48.47/31.40 tff(constB49_type, type, (
% 48.47/31.40 constB49: state_type)).
% 48.47/31.40 tff(constB48_type, type, (
% 48.47/31.40 constB48: state_type)).
% 48.47/31.40 tff(constB47_type, type, (
% 48.47/31.40 constB47: state_type)).
% 48.47/31.40 tff(constB46_type, type, (
% 48.47/31.40 constB46: state_type)).
% 48.47/31.40 tff(constB45_type, type, (
% 48.47/31.40 constB45: state_type)).
% 48.47/31.40 tff(constB44_type, type, (
% 48.47/31.40 constB44: state_type)).
% 48.47/31.40 tff(constB43_type, type, (
% 48.47/31.40 constB43: state_type)).
% 48.47/31.40 tff(constB42_type, type, (
% 48.47/31.40 constB42: state_type)).
% 48.47/31.40 tff(constB41_type, type, (
% 48.47/31.40 constB41: state_type)).
% 48.47/31.40 tff(constB40_type, type, (
% 48.47/31.40 constB40: state_type)).
% 48.47/31.40 tff(constB39_type, type, (
% 48.47/31.40 constB39: state_type)).
% 48.47/31.40 tff(constB38_type, type, (
% 48.47/31.40 constB38: state_type)).
% 48.47/31.40 tff(constB37_type, type, (
% 48.47/31.40 constB37: state_type)).
% 48.47/31.40 tff(constB36_type, type, (
% 48.47/31.40 constB36: state_type)).
% 48.47/31.40 tff(constB35_type, type, (
% 48.47/31.40 constB35: state_type)).
% 48.47/31.40 tff(constB34_type, type, (
% 48.47/31.40 constB34: state_type)).
% 48.47/31.40 tff(constB33_type, type, (
% 48.47/31.40 constB33: state_type)).
% 48.47/31.40 tff(constB32_type, type, (
% 48.47/31.40 constB32: state_type)).
% 48.47/31.40 tff(constB31_type, type, (
% 48.47/31.40 constB31: state_type)).
% 48.47/31.40 tff(constB27_type, type, (
% 48.47/31.40 constB27: state_type)).
% 48.47/31.40 tff(constB26_type, type, (
% 48.47/31.40 constB26: state_type)).
% 48.47/31.40 tff(constB25_type, type, (
% 48.47/31.40 constB25: state_type)).
% 48.47/31.40 tff(v119_type, type, (
% 48.47/31.40 v119: state_type > $o)).
% 48.47/31.40 tff(constB24_type, type, (
% 48.47/31.40 constB24: state_type)).
% 48.47/31.40 tff(constB23_type, type, (
% 48.47/31.40 constB23: state_type)).
% 48.47/31.40 tff(constB22_type, type, (
% 48.47/31.40 constB22: state_type)).
% 48.47/31.40 tff(constB21_type, type, (
% 48.47/31.40 constB21: state_type)).
% 48.47/31.40 tff(constB20_type, type, (
% 48.47/31.40 constB20: state_type)).
% 48.47/31.40 tff(constB19_type, type, (
% 48.47/31.40 constB19: state_type)).
% 48.47/31.40 tff(constB18_type, type, (
% 48.47/31.40 constB18: state_type)).
% 48.47/31.40 tff(constB17_type, type, (
% 48.47/31.40 constB17: state_type)).
% 48.47/31.40 tff(constB16_type, type, (
% 48.47/31.40 constB16: state_type)).
% 48.47/31.40 tff(constB15_type, type, (
% 48.47/31.40 constB15: state_type)).
% 48.47/31.40 tff(constB14_type, type, (
% 48.47/31.40 constB14: state_type)).
% 48.47/31.40 tff(constB12_type, type, (
% 48.47/31.40 constB12: state_type)).
% 48.47/31.40 tff(constB11_type, type, (
% 48.47/31.40 constB11: state_type)).
% 48.47/31.40 tff(constB10_type, type, (
% 48.47/31.40 constB10: state_type)).
% 48.47/31.40 tff(constB9_type, type, (
% 48.47/31.40 constB9: state_type)).
% 48.47/31.40 tff(constB8_type, type, (
% 48.47/31.40 constB8: state_type)).
% 48.47/31.40 tff(constB7_type, type, (
% 48.47/31.40 constB7: state_type)).
% 48.47/31.40 tff(constB6_type, type, (
% 48.47/31.40 constB6: state_type)).
% 48.47/31.40 tff(constB5_type, type, (
% 48.47/31.40 constB5: state_type)).
% 48.47/31.40 tff(constB4_type, type, (
% 48.47/31.40 constB4: state_type)).
% 48.47/31.40 tff(constB3_type, type, (
% 48.47/31.40 constB3: state_type)).
% 48.47/31.40 tff(constB1_type, type, (
% 48.47/31.40 constB1: state_type)).
% 48.47/31.40 tff(constB2_type, type, (
% 48.47/31.40 constB2: state_type)).
% 48.47/31.40 tff(v101_type, type, (
% 48.47/31.40 v101: state_type > $o)).
% 48.47/31.40 tff(v1_type, type, (
% 48.47/31.40 v1: state_type > $o)).
% 48.47/31.40 tff(nextState_type, type, (
% 48.47/31.40 nextState: ( state_type * state_type ) > $o)).
% 48.47/31.40 tff(constB0_type, type, (
% 48.47/31.40 constB0: state_type)).
% 48.47/31.40 tff(v102_type, type, (
% 48.47/31.40 v102: state_type > $o)).
% 48.47/31.40 tff(v104_type, type, (
% 48.47/31.40 v104: state_type > $o)).
% 48.47/31.40 tff(constB30_type, type, (
% 48.47/31.40 constB30: state_type)).
% 48.47/31.40 tff(constB29_type, type, (
% 48.47/31.40 constB29: state_type)).
% 48.47/31.40 tff(constB28_type, type, (
% 48.47/31.40 constB28: state_type)).
% 48.47/31.40 tff(constB88_type, type, (
% 48.47/31.40 constB88: state_type)).
% 48.47/31.40 tff(constB90_type, type, (
% 48.47/31.40 constB90: state_type)).
% 48.47/31.40 tff(constB89_type, type, (
% 48.47/31.40 constB89: state_type)).
% 48.47/31.40 tff(constB92_type, type, (
% 48.47/31.40 constB92: state_type)).
% 48.47/31.40 tff(constB98_type, type, (
% 48.47/31.40 constB98: state_type)).
% 48.47/31.40 tff(constB97_type, type, (
% 48.47/31.40 constB97: state_type)).
% 48.47/31.40 tff(constB96_type, type, (
% 48.47/31.40 constB96: state_type)).
% 48.47/31.40 tff(constB95_type, type, (
% 48.47/31.40 constB95: state_type)).
% 48.47/31.40 tff(constB94_type, type, (
% 48.47/31.40 constB94: state_type)).
% 48.47/31.40 tff(constB93_type, type, (
% 48.47/31.40 constB93: state_type)).
% 48.47/31.40 tff(constB100_type, type, (
% 48.47/31.40 constB100: state_type)).
% 48.47/31.40 tff(constB102_type, type, (
% 48.47/31.40 constB102: state_type)).
% 48.47/31.40 tff(v60_type, type, (
% 48.47/31.40 v60: state_type > $o)).
% 48.47/31.40 tff(v66_type, type, (
% 48.47/31.40 v66: state_type > $o)).
% 48.47/31.40 tff(v64_type, type, (
% 48.47/31.40 v64: state_type > $o)).
% 48.47/31.40 tff(v9_type, type, (
% 48.47/31.40 v9: state_type > $o)).
% 48.47/31.40 tff(v13_type, type, (
% 48.47/31.40 v13: state_type > $o)).
% 48.47/31.40 tff(v19_type, type, (
% 48.47/31.40 v19: state_type > $o)).
% 48.47/31.40 tff(v18_type, type, (
% 48.47/31.40 v18: state_type > $o)).
% 48.47/31.40 tff(v22_type, type, (
% 48.47/31.40 v22: state_type > $o)).
% 48.47/31.40 tff(v74_type, type, (
% 48.47/31.40 v74: state_type > $o)).
% 48.47/31.40 tff(v72_type, type, (
% 48.47/31.40 v72: state_type > $o)).
% 48.47/31.40 tff(v71_type, type, (
% 48.47/31.40 v71: state_type > $o)).
% 48.47/31.40 tff(v76_type, type, (
% 48.47/31.40 v76: state_type > $o)).
% 48.47/31.40 tff(v80_type, type, (
% 48.47/31.40 v80: state_type > $o)).
% 48.47/31.40 tff(v78_type, type, (
% 48.47/31.40 v78: state_type > $o)).
% 48.47/31.40 tff(constB104_type, type, (
% 48.47/31.40 constB104: state_type)).
% 48.47/31.40 tff(constB106_type, type, (
% 48.47/31.40 constB106: state_type)).
% 48.47/31.40 tff(constB110_type, type, (
% 48.47/31.40 constB110: state_type)).
% 48.47/31.40 tff(constB109_type, type, (
% 48.47/31.40 constB109: state_type)).
% 48.47/31.40 tff(constB108_type, type, (
% 48.47/31.40 constB108: state_type)).
% 48.47/31.40 tff(constB112_type, type, (
% 48.47/31.40 constB112: state_type)).
% 48.47/31.40 tff(v197_type, type, (
% 48.47/31.40 v197: state_type > $o)).
% 48.47/31.40 tff(v224_type, type, (
% 48.47/31.40 v224: state_type > $o)).
% 48.47/31.40 tff(v241_type, type, (
% 48.47/31.40 v241: state_type > $o)).
% 48.47/31.40 tff(v166_type, type, (
% 48.47/31.40 v166: state_type > $o)).
% 48.47/31.40 tff(v200_type, type, (
% 48.47/31.40 v200: state_type > $o)).
% 48.47/31.40 tff(v139_type, type, (
% 48.47/31.40 v139: state_type > $o)).
% 48.47/31.40 tff(v140_type, type, (
% 48.47/31.40 v140: state_type > $o)).
% 48.47/31.40 tff(v141_type, type, (
% 48.47/31.40 v141: state_type > $o)).
% 48.47/31.40 tff(v237_type, type, (
% 48.47/31.40 v237: state_type > $o)).
% 48.47/31.40 tff(v252_type, type, (
% 48.47/31.40 v252: state_type > $o)).
% 48.47/31.40 tff(v148_type, type, (
% 48.47/31.40 v148: state_type > $o)).
% 48.47/31.40 tff(v255_type, type, (
% 48.47/31.40 v255: state_type > $o)).
% 48.47/31.40 tff(v243_type, type, (
% 48.47/31.40 v243: state_type > $o)).
% 48.47/31.40 tff(v221_type, type, (
% 48.47/31.40 v221: state_type > $o)).
% 48.47/31.40 tff(v231_type, type, (
% 48.47/31.40 v231: state_type > $o)).
% 48.47/31.40 tff(constB193_type, type, (
% 48.47/31.40 constB193: state_type)).
% 48.47/31.40 tff(constB192_type, type, (
% 48.47/31.40 constB192: state_type)).
% 48.47/31.40 tff(constB191_type, type, (
% 48.47/31.40 constB191: state_type)).
% 48.47/31.40 tff(constB190_type, type, (
% 48.47/31.40 constB190: state_type)).
% 48.47/31.40 tff(constB189_type, type, (
% 48.47/31.40 constB189: state_type)).
% 48.47/31.40 tff(constB188_type, type, (
% 48.47/31.40 constB188: state_type)).
% 48.47/31.40 tff(constB187_type, type, (
% 48.47/31.40 constB187: state_type)).
% 48.47/31.40 tff(constB186_type, type, (
% 48.47/31.40 constB186: state_type)).
% 48.47/31.40 tff(constB185_type, type, (
% 48.47/31.40 constB185: state_type)).
% 48.47/31.40 tff(constB184_type, type, (
% 48.47/31.40 constB184: state_type)).
% 48.47/31.40 tff(constB183_type, type, (
% 48.47/31.40 constB183: state_type)).
% 48.47/31.40 tff(constB182_type, type, (
% 48.47/31.40 constB182: state_type)).
% 48.47/31.40 tff(constB181_type, type, (
% 48.47/31.40 constB181: state_type)).
% 48.47/31.40 tff(constB180_type, type, (
% 48.47/31.40 constB180: state_type)).
% 48.47/31.40 tff(constB179_type, type, (
% 48.47/31.40 constB179: state_type)).
% 48.47/31.40 tff(constB178_type, type, (
% 48.47/31.40 constB178: state_type)).
% 48.47/31.40 tff(constB177_type, type, (
% 48.47/31.40 constB177: state_type)).
% 48.47/31.40 tff(constB176_type, type, (
% 48.47/31.40 constB176: state_type)).
% 48.47/31.40 tff(constB175_type, type, (
% 48.47/31.40 constB175: state_type)).
% 48.47/31.40 tff(constB174_type, type, (
% 48.47/31.40 constB174: state_type)).
% 48.47/31.40 tff(constB173_type, type, (
% 48.47/31.40 constB173: state_type)).
% 48.47/31.40 tff(constB172_type, type, (
% 48.47/31.40 constB172: state_type)).
% 48.47/31.40 tff(constB171_type, type, (
% 48.47/31.40 constB171: state_type)).
% 48.47/31.40 tff(constB170_type, type, (
% 48.47/31.40 constB170: state_type)).
% 48.47/31.40 tff(constB169_type, type, (
% 48.47/31.40 constB169: state_type)).
% 48.47/31.40 tff(constB168_type, type, (
% 48.47/31.40 constB168: state_type)).
% 48.47/31.40 tff(constB167_type, type, (
% 48.47/31.40 constB167: state_type)).
% 48.47/31.40 tff(constB166_type, type, (
% 48.47/31.40 constB166: state_type)).
% 48.47/31.40 tff(constB165_type, type, (
% 48.47/31.40 constB165: state_type)).
% 48.47/31.40 tff(constB164_type, type, (
% 48.47/31.40 constB164: state_type)).
% 48.47/31.40 tff(constB163_type, type, (
% 48.47/31.40 constB163: state_type)).
% 48.47/31.40 tff(constB162_type, type, (
% 48.47/31.40 constB162: state_type)).
% 48.47/31.40 tff(constB161_type, type, (
% 48.47/31.40 constB161: state_type)).
% 48.47/31.40 tff(constB155_type, type, (
% 48.47/31.40 constB155: state_type)).
% 48.47/31.40 tff(constB153_type, type, (
% 48.47/31.40 constB153: state_type)).
% 48.47/31.40 tff(constB152_type, type, (
% 48.47/31.40 constB152: state_type)).
% 48.47/31.40 tff(constB151_type, type, (
% 48.47/31.40 constB151: state_type)).
% 48.47/31.40 tff(constB150_type, type, (
% 48.47/31.40 constB150: state_type)).
% 48.47/31.40 tff(constB149_type, type, (
% 48.47/31.40 constB149: state_type)).
% 48.47/31.40 tff(constB148_type, type, (
% 48.47/31.40 constB148: state_type)).
% 48.47/31.40 tff(constB147_type, type, (
% 48.47/31.40 constB147: state_type)).
% 48.47/31.40 tff(constB146_type, type, (
% 48.47/31.40 constB146: state_type)).
% 48.47/31.40 tff(constB145_type, type, (
% 48.47/31.40 constB145: state_type)).
% 48.47/31.40 tff(constB144_type, type, (
% 48.47/31.40 constB144: state_type)).
% 48.47/31.40 tff(constB143_type, type, (
% 48.47/31.40 constB143: state_type)).
% 48.47/31.40 tff(constB142_type, type, (
% 48.47/31.40 constB142: state_type)).
% 48.47/31.40 tff(constB141_type, type, (
% 48.47/31.40 constB141: state_type)).
% 48.47/31.40 tff(constB140_type, type, (
% 48.47/31.40 constB140: state_type)).
% 48.47/31.40 tff(constB139_type, type, (
% 48.47/31.40 constB139: state_type)).
% 48.47/31.40 tff(constB138_type, type, (
% 48.47/31.40 constB138: state_type)).
% 48.47/31.40 tff(constB137_type, type, (
% 48.47/31.40 constB137: state_type)).
% 48.47/31.40 tff(constB136_type, type, (
% 48.47/31.40 constB136: state_type)).
% 48.47/31.40 tff(constB135_type, type, (
% 48.47/31.40 constB135: state_type)).
% 48.47/31.40 tff(constB134_type, type, (
% 48.47/31.40 constB134: state_type)).
% 48.47/31.40 tff(constB133_type, type, (
% 48.47/31.40 constB133: state_type)).
% 48.47/31.40 tff(constB132_type, type, (
% 48.47/31.40 constB132: state_type)).
% 48.47/31.40 tff(constB131_type, type, (
% 48.47/31.40 constB131: state_type)).
% 48.47/31.40 tff(constB130_type, type, (
% 48.47/31.40 constB130: state_type)).
% 48.47/31.40 tff(constB129_type, type, (
% 48.47/31.40 constB129: state_type)).
% 48.47/31.40 tff(constB128_type, type, (
% 48.47/31.40 constB128: state_type)).
% 48.47/31.40 tff(constB127_type, type, (
% 48.47/31.40 constB127: state_type)).
% 48.47/31.40 tff(constB126_type, type, (
% 48.47/31.40 constB126: state_type)).
% 48.47/31.40 tff(constB125_type, type, (
% 48.47/31.40 constB125: state_type)).
% 48.47/31.40 tff(constB124_type, type, (
% 48.47/31.40 constB124: state_type)).
% 48.47/31.40 tff(constB123_type, type, (
% 48.47/31.40 constB123: state_type)).
% 48.47/31.40 tff(constB122_type, type, (
% 48.47/31.40 constB122: state_type)).
% 48.47/31.40 tff(constB154_type, type, (
% 48.47/31.40 constB154: state_type)).
% 48.47/31.40 tff(constB157_type, type, (
% 48.47/31.40 constB157: state_type)).
% 48.47/31.40 tff(constB156_type, type, (
% 48.47/31.40 constB156: state_type)).
% 48.47/31.40 tff(constB160_type, type, (
% 48.47/31.40 constB160: state_type)).
% 48.47/31.40 tff(constB159_type, type, (
% 48.47/31.40 constB159: state_type)).
% 48.47/31.40 tff(constB158_type, type, (
% 48.47/31.40 constB158: state_type)).
% 48.47/31.40 tff(v143_type, type, (
% 48.47/31.40 v143: state_type > $o)).
% 48.47/31.40 tff(v225_type, type, (
% 48.47/31.40 v225: state_type > $o)).
% 48.47/31.40 tff(v229_type, type, (
% 48.47/31.40 v229: state_type > $o)).
% 48.47/31.40 tff(v199_type, type, (
% 48.47/31.40 v199: state_type > $o)).
% 48.47/31.40 tff(v228_type, type, (
% 48.47/31.40 v228: state_type > $o)).
% 48.47/31.40 tff(v183_type, type, (
% 48.47/31.40 v183: state_type > $o)).
% 48.47/31.40 tff(v238_type, type, (
% 48.47/31.40 v238: state_type > $o)).
% 48.47/31.40 tff(v242_type, type, (
% 48.47/31.40 v242: state_type > $o)).
% 48.47/31.40 tff(v256_type, type, (
% 48.47/31.40 v256: state_type > $o)).
% 48.47/31.40 tff(constB197_type, type, (
% 48.47/31.40 constB197: state_type)).
% 48.47/31.40 tff(constB196_type, type, (
% 48.47/31.40 constB196: state_type)).
% 48.47/31.40 tff(constB195_type, type, (
% 48.47/31.40 constB195: state_type)).
% 48.47/31.40 tff(constB194_type, type, (
% 48.47/31.40 constB194: state_type)).
% 48.47/31.40 tff(constB199_type, type, (
% 48.47/31.40 constB199: state_type)).
% 48.47/31.40 tff(constB198_type, type, (
% 48.47/31.40 constB198: state_type)).
% 48.47/31.40 tff(v145_type, type, (
% 48.47/31.40 v145: state_type > $o)).
% 48.47/31.40 tff(v147_type, type, (
% 48.47/31.40 v147: state_type > $o)).
% 48.47/31.40 tff(v146_type, type, (
% 48.47/31.40 v146: state_type > $o)).
% 48.47/31.40 tff(constB200_type, type, (
% 48.47/31.40 constB200: state_type)).
% 48.47/31.40 tff(reachableState_type, type, (
% 48.47/31.40 reachableState: state_type > $o)).
% 48.47/31.40 tff(1,assumption,(constB121 = sK_VarCurr), introduced(assumption)).
% 48.47/31.40 tff(2,plain,
% 48.47/31.40 (v215(constB121) <=> v215(sK_VarCurr)),
% 48.47/31.40 inference(monotonicity,[status(thm)],[1])).
% 48.47/31.40 tff(3,plain,
% 48.47/31.40 (v215(sK_VarCurr) <=> v215(constB121)),
% 48.47/31.40 inference(symmetry,[status(thm)],[2])).
% 48.47/31.40 tff(4,plain,
% 48.47/31.40 (v209(sK_VarCurr) <=> v209(sK_VarCurr)),
% 48.47/31.40 inference(rewrite,[status(thm)],[])).
% 48.47/31.40 tff(5,axiom,(v209(sK_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 48.47/31.40 tff(6,plain,
% 48.47/31.40 (v209(sK_VarCurr)),
% 48.47/31.40 inference(modus_ponens,[status(thm)],[5, 4])).
% 48.47/31.40 tff(7,plain,
% 48.47/31.40 (^[VarCurr: state_type] : refl((v211(VarCurr) | (~v209(VarCurr))) <=> (v211(VarCurr) | (~v209(VarCurr))))),
% 48.47/31.40 inference(bind,[status(th)],[])).
% 48.47/31.40 tff(8,plain,
% 48.47/31.40 (![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[7])).
% 48.47/31.41 tff(9,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(10,plain,
% 48.47/31.41 (^[VarCurr: state_type] : rewrite(((~v209(VarCurr)) | v211(VarCurr)) <=> (v211(VarCurr) | (~v209(VarCurr))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(11,plain,
% 48.47/31.41 (![VarCurr: state_type] : ((~v209(VarCurr)) | v211(VarCurr)) <=> ![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[10])).
% 48.47/31.41 tff(12,axiom,(![VarCurr: state_type] : ((~v209(VarCurr)) | v211(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_81_1_1_1_1')).
% 48.47/31.41 tff(13,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[12, 11])).
% 48.47/31.41 tff(14,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[13, 9])).
% 48.47/31.41 tff(15,plain,(
% 48.47/31.41 ![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.47/31.41 inference(skolemize,[status(sab)],[14])).
% 48.47/31.41 tff(16,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[15, 8])).
% 48.47/31.41 tff(17,plain,
% 48.47/31.41 (((~![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))) | (v211(sK_VarCurr) | (~v209(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))) | v211(sK_VarCurr) | (~v209(sK_VarCurr)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(18,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))) | (v211(sK_VarCurr) | (~v209(sK_VarCurr)))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(19,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (v211(VarCurr) | (~v209(VarCurr)))) | v211(sK_VarCurr) | (~v209(sK_VarCurr))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[18, 17])).
% 48.47/31.41 tff(20,plain,
% 48.47/31.41 (v211(sK_VarCurr)),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[19, 16, 6])).
% 48.47/31.41 tff(21,plain,
% 48.47/31.41 (^[VarCurr: state_type] : refl((v215(VarCurr) | (~v211(VarCurr))) <=> (v215(VarCurr) | (~v211(VarCurr))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(22,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[21])).
% 48.47/31.41 tff(23,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(24,plain,
% 48.47/31.41 (^[VarCurr: state_type] : rewrite(((~v211(VarCurr)) | v215(VarCurr)) <=> (v215(VarCurr) | (~v211(VarCurr))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(25,plain,
% 48.47/31.41 (![VarCurr: state_type] : ((~v211(VarCurr)) | v215(VarCurr)) <=> ![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[24])).
% 48.47/31.41 tff(26,axiom,(![VarCurr: state_type] : ((~v211(VarCurr)) | v215(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80_1_1_1_2')).
% 48.47/31.41 tff(27,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[26, 25])).
% 48.47/31.41 tff(28,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[27, 23])).
% 48.47/31.41 tff(29,plain,(
% 48.47/31.41 ![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.47/31.41 inference(skolemize,[status(sab)],[28])).
% 48.47/31.41 tff(30,plain,
% 48.47/31.41 (![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[29, 22])).
% 48.47/31.41 tff(31,plain,
% 48.47/31.41 (((~![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))) | (v215(sK_VarCurr) | (~v211(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))) | v215(sK_VarCurr) | (~v211(sK_VarCurr)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(32,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))) | (v215(sK_VarCurr) | (~v211(sK_VarCurr)))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(33,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (v215(VarCurr) | (~v211(VarCurr)))) | v215(sK_VarCurr) | (~v211(sK_VarCurr))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[32, 31])).
% 48.47/31.41 tff(34,plain,
% 48.47/31.41 (v215(sK_VarCurr)),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[33, 30, 20])).
% 48.47/31.41 tff(35,plain,
% 48.47/31.41 (v215(constB121)),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[34, 3])).
% 48.47/31.41 tff(36,assumption,(v26(constB85)), introduced(assumption)).
% 48.47/31.41 tff(37,plain,
% 48.47/31.41 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(38,plain,
% 48.47/31.41 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[37])).
% 48.47/31.41 tff(39,plain,
% 48.47/31.41 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(40,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 48.47/31.41 tff(41,plain,
% 48.47/31.41 (![VarCurr: state_type] : (~v26(VarCurr))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[40, 39])).
% 48.47/31.41 tff(42,plain,(
% 48.47/31.41 ![VarCurr: state_type] : (~v26(VarCurr))),
% 48.47/31.41 inference(skolemize,[status(sab)],[41])).
% 48.47/31.41 tff(43,plain,
% 48.47/31.41 (![VarCurr: state_type] : (~v26(VarCurr))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[42, 38])).
% 48.47/31.41 tff(44,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(45,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[44, 43, 36])).
% 48.47/31.41 tff(46,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(47,assumption,(v26(constB83)), introduced(assumption)).
% 48.47/31.41 tff(48,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(49,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[48, 43, 47])).
% 48.47/31.41 tff(50,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(51,assumption,(v26(constB81)), introduced(assumption)).
% 48.47/31.41 tff(52,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(53,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[52, 43, 51])).
% 48.47/31.41 tff(54,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(55,assumption,(v26(constB79)), introduced(assumption)).
% 48.47/31.41 tff(56,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(57,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[56, 43, 55])).
% 48.47/31.41 tff(58,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(59,assumption,(v26(constB11)), introduced(assumption)).
% 48.47/31.41 tff(60,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(61,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[60, 43, 59])).
% 48.47/31.41 tff(62,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(63,assumption,(v26(constB9)), introduced(assumption)).
% 48.47/31.41 tff(64,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(65,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[64, 43, 63])).
% 48.47/31.41 tff(66,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(67,assumption,(v26(constB7)), introduced(assumption)).
% 48.47/31.41 tff(68,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(69,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[68, 43, 67])).
% 48.47/31.41 tff(70,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(71,assumption,(v26(constB1)), introduced(assumption)).
% 48.47/31.41 tff(72,plain,
% 48.47/31.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(73,plain,
% 48.47/31.41 ($false),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[72, 43, 71])).
% 48.47/31.41 tff(74,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.41 tff(75,plain,
% 48.47/31.41 ((~v1(constB1)) <=> (~v1(constB1))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(76,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 48.47/31.41 tff(77,plain,
% 48.47/31.41 (~v1(constB1)),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[76, 75])).
% 48.47/31.41 tff(78,plain,
% 48.47/31.41 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(79,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_200')).
% 48.47/31.41 tff(80,plain,
% 48.47/31.41 (nextState(constB0, constB1)),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[79, 78])).
% 48.47/31.41 tff(81,plain,
% 48.47/31.41 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(82,plain,
% 48.47/31.41 (![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))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[81])).
% 48.47/31.41 tff(83,plain,
% 48.47/31.41 (![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))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(84,plain,
% 48.47/31.41 (^[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))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(85,plain,
% 48.47/31.41 (![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))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[84])).
% 48.47/31.41 tff(86,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')).
% 48.47/31.41 tff(87,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[86, 85])).
% 48.47/31.41 tff(88,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[87, 83])).
% 48.47/31.41 tff(89,plain,(
% 48.47/31.41 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.47/31.41 inference(skolemize,[status(sab)],[88])).
% 48.47/31.41 tff(90,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[89, 82])).
% 48.47/31.41 tff(91,plain,
% 48.47/31.41 (((~![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)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(92,plain,
% 48.47/31.41 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(93,plain,
% 48.47/31.41 (((~![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))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[92])).
% 48.47/31.41 tff(94,plain,
% 48.47/31.41 (((~![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)))),
% 48.47/31.41 inference(transitivity,[status(thm)],[93, 91])).
% 48.47/31.41 tff(95,plain,
% 48.47/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(96,plain,
% 48.47/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[95, 94])).
% 48.47/31.41 tff(97,plain,
% 48.47/31.41 (~v101(constB1)),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[96, 90, 80, 77])).
% 48.47/31.41 tff(98,plain,
% 48.47/31.41 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(99,plain,
% 48.47/31.41 (![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)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[98])).
% 48.47/31.41 tff(100,plain,
% 48.47/31.41 (![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)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(101,plain,
% 48.47/31.41 (^[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)))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(102,plain,
% 48.47/31.41 (![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)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[101])).
% 48.47/31.41 tff(103,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')).
% 48.47/31.41 tff(104,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[103, 102])).
% 48.47/31.41 tff(105,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[104, 100])).
% 48.47/31.41 tff(106,plain,(
% 48.47/31.41 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.47/31.41 inference(skolemize,[status(sab)],[105])).
% 48.47/31.41 tff(107,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[106, 99])).
% 48.47/31.41 tff(108,plain,
% 48.47/31.41 (((~![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)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(109,plain,
% 48.47/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(110,plain,
% 48.47/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[109, 108])).
% 48.47/31.41 tff(111,plain,
% 48.47/31.41 (v101(constB1) | (~v100(constB1))),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[110, 107, 80])).
% 48.47/31.41 tff(112,plain,
% 48.47/31.41 (~v100(constB1)),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[111, 97])).
% 48.47/31.41 tff(113,plain,
% 48.47/31.41 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(114,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[113])).
% 48.47/31.41 tff(115,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(116,plain,
% 48.47/31.41 (^[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, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(117,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[116])).
% 48.47/31.41 tff(118,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 48.47/31.41 tff(119,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[118, 117])).
% 48.47/31.41 tff(120,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[119, 115])).
% 48.47/31.41 tff(121,plain,(
% 48.47/31.41 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 48.47/31.41 inference(skolemize,[status(sab)],[120])).
% 48.47/31.41 tff(122,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[121, 114])).
% 48.47/31.41 tff(123,plain,
% 48.47/31.41 ((~v90(constB0, 2)) <=> (~v90(constB0, 2))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(124,axiom,(~v90(constB0, 2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 48.47/31.41 tff(125,plain,
% 48.47/31.41 (~v90(constB0, 2)),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[124, 123])).
% 48.47/31.41 tff(126,plain,
% 48.47/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(127,plain,
% 48.47/31.41 (((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2))) <=> (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(128,plain,
% 48.47/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))))),
% 48.47/31.41 inference(monotonicity,[status(thm)],[127])).
% 48.47/31.41 tff(129,plain,
% 48.47/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 48.47/31.41 inference(transitivity,[status(thm)],[128, 126])).
% 48.47/31.41 tff(130,plain,
% 48.47/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))),
% 48.47/31.41 inference(quant_inst,[status(thm)],[])).
% 48.47/31.41 tff(131,plain,
% 48.47/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[130, 129])).
% 48.47/31.41 tff(132,plain,
% 48.47/31.41 (v100(constB1) | (~v90(constB1, 2))),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[131, 125, 122, 80])).
% 48.47/31.41 tff(133,plain,
% 48.47/31.41 (~v90(constB1, 2)),
% 48.47/31.41 inference(unit_resolution,[status(thm)],[132, 112])).
% 48.47/31.41 tff(134,plain,
% 48.47/31.41 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(135,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[134])).
% 48.47/31.41 tff(136,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(137,plain,
% 48.47/31.41 (^[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, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))))),
% 48.47/31.41 inference(bind,[status(th)],[])).
% 48.47/31.41 tff(138,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 48.47/31.41 inference(quant_intro,[status(thm)],[137])).
% 48.47/31.41 tff(139,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 48.47/31.41 tff(140,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[139, 138])).
% 48.47/31.41 tff(141,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[140, 136])).
% 48.47/31.41 tff(142,plain,(
% 48.47/31.41 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 48.47/31.41 inference(skolemize,[status(sab)],[141])).
% 48.47/31.41 tff(143,plain,
% 48.47/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[142, 135])).
% 48.47/31.41 tff(144,plain,
% 48.47/31.41 ((~v90(constB0, 1)) <=> (~v90(constB0, 1))),
% 48.47/31.41 inference(rewrite,[status(thm)],[])).
% 48.47/31.41 tff(145,axiom,(~v90(constB0, 1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 48.47/31.41 tff(146,plain,
% 48.47/31.41 (~v90(constB0, 1)),
% 48.47/31.41 inference(modus_ponens,[status(thm)],[145, 144])).
% 48.47/31.41 tff(147,plain,
% 48.47/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(148,plain,
% 48.49/31.41 (((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1))) <=> (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(149,plain,
% 48.49/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))))),
% 48.49/31.41 inference(monotonicity,[status(thm)],[148])).
% 48.49/31.41 tff(150,plain,
% 48.49/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 48.49/31.41 inference(transitivity,[status(thm)],[149, 147])).
% 48.49/31.41 tff(151,plain,
% 48.49/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))),
% 48.49/31.41 inference(quant_inst,[status(thm)],[])).
% 48.49/31.41 tff(152,plain,
% 48.49/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[151, 150])).
% 48.49/31.41 tff(153,plain,
% 48.49/31.41 (v100(constB1) | (~v90(constB1, 1))),
% 48.49/31.41 inference(unit_resolution,[status(thm)],[152, 146, 143, 80])).
% 48.49/31.41 tff(154,plain,
% 48.49/31.41 (~v90(constB1, 1)),
% 48.49/31.41 inference(unit_resolution,[status(thm)],[153, 112])).
% 48.49/31.41 tff(155,plain,
% 48.49/31.41 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))))),
% 48.49/31.41 inference(bind,[status(th)],[])).
% 48.49/31.41 tff(156,plain,
% 48.49/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 48.49/31.41 inference(quant_intro,[status(thm)],[155])).
% 48.49/31.41 tff(157,plain,
% 48.49/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(158,plain,
% 48.49/31.41 (^[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, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))))),
% 48.49/31.41 inference(bind,[status(th)],[])).
% 48.49/31.41 tff(159,plain,
% 48.49/31.41 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 48.49/31.41 inference(quant_intro,[status(thm)],[158])).
% 48.49/31.41 tff(160,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 48.49/31.41 tff(161,plain,
% 48.49/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[160, 159])).
% 48.49/31.41 tff(162,plain,
% 48.49/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[161, 157])).
% 48.49/31.41 tff(163,plain,(
% 48.49/31.41 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 48.49/31.41 inference(skolemize,[status(sab)],[162])).
% 48.49/31.41 tff(164,plain,
% 48.49/31.41 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[163, 156])).
% 48.49/31.41 tff(165,plain,
% 48.49/31.41 ((~v90(constB0, 0)) <=> (~v90(constB0, 0))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(166,axiom,(~v90(constB0, 0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 48.49/31.41 tff(167,plain,
% 48.49/31.41 (~v90(constB0, 0)),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[166, 165])).
% 48.49/31.41 tff(168,plain,
% 48.49/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(169,plain,
% 48.49/31.41 (((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0))) <=> (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(170,plain,
% 48.49/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))))),
% 48.49/31.41 inference(monotonicity,[status(thm)],[169])).
% 48.49/31.41 tff(171,plain,
% 48.49/31.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 48.49/31.41 inference(transitivity,[status(thm)],[170, 168])).
% 48.49/31.41 tff(172,plain,
% 48.49/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))),
% 48.49/31.41 inference(quant_inst,[status(thm)],[])).
% 48.49/31.41 tff(173,plain,
% 48.49/31.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[172, 171])).
% 48.49/31.41 tff(174,plain,
% 48.49/31.41 (v100(constB1) | (~v90(constB1, 0))),
% 48.49/31.41 inference(unit_resolution,[status(thm)],[173, 167, 164, 80])).
% 48.49/31.41 tff(175,plain,
% 48.49/31.41 (~v90(constB1, 0)),
% 48.49/31.41 inference(unit_resolution,[status(thm)],[174, 112])).
% 48.49/31.41 tff(176,plain,
% 48.49/31.41 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)))),
% 48.49/31.41 inference(bind,[status(th)],[])).
% 48.49/31.41 tff(177,plain,
% 48.49/31.41 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 48.49/31.41 inference(quant_intro,[status(thm)],[176])).
% 48.49/31.41 tff(178,plain,
% 48.49/31.41 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(179,plain,
% 48.49/31.41 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 48.49/31.41 inference(bind,[status(th)],[])).
% 48.49/31.41 tff(180,plain,
% 48.49/31.41 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 48.49/31.41 inference(quant_intro,[status(thm)],[179])).
% 48.49/31.41 tff(181,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 48.49/31.41 tff(182,plain,
% 48.49/31.41 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[181, 180])).
% 48.49/31.41 tff(183,plain,
% 48.49/31.41 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[182, 178])).
% 48.49/31.41 tff(184,plain,(
% 48.49/31.41 ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 48.49/31.41 inference(skolemize,[status(sab)],[183])).
% 48.49/31.41 tff(185,plain,
% 48.49/31.41 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[184, 177])).
% 48.49/31.41 tff(186,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(187,plain,
% 48.49/31.41 ((v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2)) <=> (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(188,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)))),
% 48.49/31.41 inference(monotonicity,[status(thm)],[187])).
% 48.49/31.41 tff(189,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 48.49/31.41 inference(transitivity,[status(thm)],[188, 186])).
% 48.49/31.41 tff(190,plain,
% 48.49/31.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))),
% 48.49/31.41 inference(quant_inst,[status(thm)],[])).
% 48.49/31.41 tff(191,plain,
% 48.49/31.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[190, 189])).
% 48.49/31.41 tff(192,plain,
% 48.49/31.41 (v119(constB1)),
% 48.49/31.41 inference(unit_resolution,[status(thm)],[191, 185, 175, 154, 133])).
% 48.49/31.41 tff(193,plain,
% 48.49/31.41 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v118(VarCurr)) <=> ((~v119(VarCurr)) | v118(VarCurr)))),
% 48.49/31.41 inference(bind,[status(th)],[])).
% 48.49/31.41 tff(194,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 48.49/31.41 inference(quant_intro,[status(thm)],[193])).
% 48.49/31.41 tff(195,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(196,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 48.49/31.41 tff(197,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[196, 195])).
% 48.49/31.41 tff(198,plain,(
% 48.49/31.41 ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 48.49/31.41 inference(skolemize,[status(sab)],[197])).
% 48.49/31.41 tff(199,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[198, 194])).
% 48.49/31.41 tff(200,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(201,plain,
% 48.49/31.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))),
% 48.49/31.41 inference(quant_inst,[status(thm)],[])).
% 48.49/31.41 tff(202,plain,
% 48.49/31.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1)),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[201, 200])).
% 48.49/31.41 tff(203,plain,
% 48.49/31.41 (v118(constB1)),
% 48.49/31.41 inference(unit_resolution,[status(thm)],[202, 199, 192])).
% 48.49/31.41 tff(204,plain,
% 48.49/31.41 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v117(VarCurr)) <=> ((~v118(VarCurr)) | v117(VarCurr)))),
% 48.49/31.41 inference(bind,[status(th)],[])).
% 48.49/31.41 tff(205,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 48.49/31.41 inference(quant_intro,[status(thm)],[204])).
% 48.49/31.41 tff(206,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(207,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 48.49/31.41 tff(208,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[207, 206])).
% 48.49/31.41 tff(209,plain,(
% 48.49/31.41 ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 48.49/31.41 inference(skolemize,[status(sab)],[208])).
% 48.49/31.41 tff(210,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[209, 205])).
% 48.49/31.41 tff(211,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(212,plain,
% 48.49/31.41 (((~v118(constB1)) | v117(constB1)) <=> (v117(constB1) | (~v118(constB1)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(213,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1))))),
% 48.49/31.41 inference(monotonicity,[status(thm)],[212])).
% 48.49/31.41 tff(214,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 48.49/31.41 inference(transitivity,[status(thm)],[213, 211])).
% 48.49/31.41 tff(215,plain,
% 48.49/31.41 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))),
% 48.49/31.41 inference(quant_inst,[status(thm)],[])).
% 48.49/31.41 tff(216,plain,
% 48.49/31.41 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[215, 214])).
% 48.49/31.41 tff(217,plain,
% 48.49/31.41 (v117(constB1)),
% 48.49/31.41 inference(unit_resolution,[status(thm)],[216, 210, 203])).
% 48.49/31.41 tff(218,plain,
% 48.49/31.41 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | v116(VarCurr)) <=> ((~v117(VarCurr)) | v116(VarCurr)))),
% 48.49/31.41 inference(bind,[status(th)],[])).
% 48.49/31.41 tff(219,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 48.49/31.41 inference(quant_intro,[status(thm)],[218])).
% 48.49/31.41 tff(220,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(221,axiom,(![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 48.49/31.41 tff(222,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[221, 220])).
% 48.49/31.41 tff(223,plain,(
% 48.49/31.41 ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 48.49/31.41 inference(skolemize,[status(sab)],[222])).
% 48.49/31.41 tff(224,plain,
% 48.49/31.41 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 48.49/31.41 inference(modus_ponens,[status(thm)],[223, 219])).
% 48.49/31.41 tff(225,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(226,plain,
% 48.49/31.41 (((~v117(constB1)) | v116(constB1)) <=> (v116(constB1) | (~v117(constB1)))),
% 48.49/31.41 inference(rewrite,[status(thm)],[])).
% 48.49/31.41 tff(227,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1))))),
% 48.49/31.41 inference(monotonicity,[status(thm)],[226])).
% 48.49/31.41 tff(228,plain,
% 48.49/31.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 48.49/31.41 inference(transitivity,[status(thm)],[227, 225])).
% 48.49/31.41 tff(229,plain,
% 48.49/31.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))),
% 48.49/31.41 inference(quant_inst,[status(thm)],[])).
% 48.49/31.41 tff(230,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[229, 228])).
% 48.49/31.42 tff(231,plain,
% 48.49/31.42 (v116(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[230, 224, 217])).
% 48.49/31.42 tff(232,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v115(VarCurr)) <=> ((~v116(VarCurr)) | v115(VarCurr)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(233,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[232])).
% 48.49/31.42 tff(234,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(235,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 48.49/31.42 tff(236,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[235, 234])).
% 48.49/31.42 tff(237,plain,(
% 48.49/31.42 ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 48.49/31.42 inference(skolemize,[status(sab)],[236])).
% 48.49/31.42 tff(238,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[237, 233])).
% 48.49/31.42 tff(239,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(240,plain,
% 48.49/31.42 (((~v116(constB1)) | v115(constB1)) <=> (v115(constB1) | (~v116(constB1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(241,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1))))),
% 48.49/31.42 inference(monotonicity,[status(thm)],[240])).
% 48.49/31.42 tff(242,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 48.49/31.42 inference(transitivity,[status(thm)],[241, 239])).
% 48.49/31.42 tff(243,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(244,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[243, 242])).
% 48.49/31.42 tff(245,plain,
% 48.49/31.42 (v115(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[244, 238, 231])).
% 48.49/31.42 tff(246,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v114(VarCurr)) <=> ((~v115(VarCurr)) | v114(VarCurr)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(247,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[246])).
% 48.49/31.42 tff(248,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(249,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 48.49/31.42 tff(250,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[249, 248])).
% 48.49/31.42 tff(251,plain,(
% 48.49/31.42 ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 48.49/31.42 inference(skolemize,[status(sab)],[250])).
% 48.49/31.42 tff(252,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[251, 247])).
% 48.49/31.42 tff(253,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(254,plain,
% 48.49/31.42 (((~v115(constB1)) | v114(constB1)) <=> (v114(constB1) | (~v115(constB1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(255,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1))))),
% 48.49/31.42 inference(monotonicity,[status(thm)],[254])).
% 48.49/31.42 tff(256,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 48.49/31.42 inference(transitivity,[status(thm)],[255, 253])).
% 48.49/31.42 tff(257,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(258,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[257, 256])).
% 48.49/31.42 tff(259,plain,
% 48.49/31.42 (v114(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[258, 252, 245])).
% 48.49/31.42 tff(260,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | v113(VarCurr)) <=> ((~v114(VarCurr)) | v113(VarCurr)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(261,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[260])).
% 48.49/31.42 tff(262,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(263,axiom,(![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 48.49/31.42 tff(264,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[263, 262])).
% 48.49/31.42 tff(265,plain,(
% 48.49/31.42 ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 48.49/31.42 inference(skolemize,[status(sab)],[264])).
% 48.49/31.42 tff(266,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[265, 261])).
% 48.49/31.42 tff(267,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(268,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(269,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1)),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[268, 267])).
% 48.49/31.42 tff(270,plain,
% 48.49/31.42 (v113(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[269, 266, 259])).
% 48.49/31.42 tff(271,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(272,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[271])).
% 48.49/31.42 tff(273,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(274,plain,
% 48.49/31.42 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(275,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[274])).
% 48.49/31.42 tff(276,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 48.49/31.42 tff(277,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[276, 275])).
% 48.49/31.42 tff(278,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[277, 273])).
% 48.49/31.42 tff(279,plain,(
% 48.49/31.42 ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.49/31.42 inference(skolemize,[status(sab)],[278])).
% 48.49/31.42 tff(280,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[279, 272])).
% 48.49/31.42 tff(281,plain,
% 48.49/31.42 (((~![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))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(282,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(283,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[282, 281])).
% 48.49/31.42 tff(284,plain,
% 48.49/31.42 (v26(constB1) | v112(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[283, 280, 270])).
% 48.49/31.42 tff(285,plain,
% 48.49/31.42 (v112(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[284, 74])).
% 48.49/31.42 tff(286,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v108(VarCurr)) <=> ((~v112(VarCurr)) | v108(VarCurr)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(287,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[286])).
% 48.49/31.42 tff(288,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(289,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 48.49/31.42 tff(290,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[289, 288])).
% 48.49/31.42 tff(291,plain,(
% 48.49/31.42 ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 48.49/31.42 inference(skolemize,[status(sab)],[290])).
% 48.49/31.42 tff(292,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[291, 287])).
% 48.49/31.42 tff(293,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(294,plain,
% 48.49/31.42 (((~v112(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v112(constB1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(295,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1))))),
% 48.49/31.42 inference(monotonicity,[status(thm)],[294])).
% 48.49/31.42 tff(296,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 48.49/31.42 inference(transitivity,[status(thm)],[295, 293])).
% 48.49/31.42 tff(297,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(298,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[297, 296])).
% 48.49/31.42 tff(299,plain,
% 48.49/31.42 (v108(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[298, 292, 285])).
% 48.49/31.42 tff(300,plain,
% 48.49/31.42 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(301,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 48.49/31.42 tff(302,plain,
% 48.49/31.42 (nextState(constB1, constB2)),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[301, 300])).
% 48.49/31.42 tff(303,plain,
% 48.49/31.42 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(304,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[303])).
% 48.49/31.42 tff(305,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(306,plain,
% 48.49/31.42 (^[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))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(307,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[306])).
% 48.49/31.42 tff(308,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')).
% 48.49/31.42 tff(309,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[308, 307])).
% 48.49/31.42 tff(310,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[309, 305])).
% 48.49/31.42 tff(311,plain,(
% 48.49/31.42 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.49/31.42 inference(skolemize,[status(sab)],[310])).
% 48.49/31.42 tff(312,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[311, 304])).
% 48.49/31.42 tff(313,plain,
% 48.49/31.42 (((~![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)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(314,plain,
% 48.49/31.42 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(315,plain,
% 48.49/31.42 (((~![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))))),
% 48.49/31.42 inference(monotonicity,[status(thm)],[314])).
% 48.49/31.42 tff(316,plain,
% 48.49/31.42 (((~![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)))),
% 48.49/31.42 inference(transitivity,[status(thm)],[315, 313])).
% 48.49/31.42 tff(317,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(318,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[317, 316])).
% 48.49/31.42 tff(319,plain,
% 48.49/31.42 (v110(constB2) | (~v108(constB1))),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[318, 312, 302])).
% 48.49/31.42 tff(320,plain,
% 48.49/31.42 (v110(constB2)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[319, 299])).
% 48.49/31.42 tff(321,plain,
% 48.49/31.42 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(322,plain,
% 48.49/31.42 (![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)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[321])).
% 48.49/31.42 tff(323,plain,
% 48.49/31.42 (![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)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(324,plain,
% 48.49/31.42 (^[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)))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(325,plain,
% 48.49/31.42 (![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)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[324])).
% 48.49/31.42 tff(326,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')).
% 48.49/31.42 tff(327,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[326, 325])).
% 48.49/31.42 tff(328,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[327, 323])).
% 48.49/31.42 tff(329,plain,(
% 48.49/31.42 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.49/31.42 inference(skolemize,[status(sab)],[328])).
% 48.49/31.42 tff(330,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[329, 322])).
% 48.49/31.42 tff(331,plain,
% 48.49/31.42 (((~![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)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(332,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(333,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[332, 331])).
% 48.49/31.42 tff(334,plain,
% 48.49/31.42 (~v104(constB2)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[333, 330, 302, 77])).
% 48.49/31.42 tff(335,plain,
% 48.49/31.42 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(336,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[335])).
% 48.49/31.42 tff(337,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(338,plain,
% 48.49/31.42 (^[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))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(339,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[338])).
% 48.49/31.42 tff(340,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')).
% 48.49/31.42 tff(341,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[340, 339])).
% 48.49/31.42 tff(342,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[341, 337])).
% 48.49/31.42 tff(343,plain,(
% 48.49/31.42 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.49/31.42 inference(skolemize,[status(sab)],[342])).
% 48.49/31.42 tff(344,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[343, 336])).
% 48.49/31.42 tff(345,plain,
% 48.49/31.42 (((~![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)) | v102(constB2) | v104(constB2))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(346,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(347,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[346, 345])).
% 48.49/31.42 tff(348,plain,
% 48.49/31.42 (v102(constB2) | v104(constB2)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[347, 344, 302])).
% 48.49/31.42 tff(349,plain,
% 48.49/31.42 (v102(constB2)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[348, 334])).
% 48.49/31.42 tff(350,plain,
% 48.49/31.42 (v1(constB2) <=> v1(constB2)),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(351,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 48.49/31.42 tff(352,plain,
% 48.49/31.42 (v1(constB2)),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[351, 350])).
% 48.49/31.42 tff(353,plain,
% 48.49/31.42 (^[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))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(354,plain,
% 48.49/31.42 (![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)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[353])).
% 48.49/31.42 tff(355,plain,
% 48.49/31.42 (![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)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(356,plain,
% 48.49/31.42 (^[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)))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(357,plain,
% 48.49/31.42 (![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)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[356])).
% 48.49/31.42 tff(358,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')).
% 48.49/31.42 tff(359,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[358, 357])).
% 48.49/31.42 tff(360,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[359, 355])).
% 48.49/31.42 tff(361,plain,(
% 48.49/31.42 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.49/31.42 inference(skolemize,[status(sab)],[360])).
% 48.49/31.42 tff(362,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[361, 354])).
% 48.49/31.42 tff(363,plain,
% 48.49/31.42 (((~![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)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(364,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(365,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[364, 363])).
% 48.49/31.42 tff(366,plain,
% 48.49/31.42 (v101(constB2) | (~v102(constB2))),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[365, 362, 302, 352])).
% 48.49/31.42 tff(367,plain,
% 48.49/31.42 (v101(constB2)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[366, 349])).
% 48.49/31.42 tff(368,plain,
% 48.49/31.42 (^[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)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(369,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[368])).
% 48.49/31.42 tff(370,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(371,plain,
% 48.49/31.42 (^[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))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(372,plain,
% 48.49/31.42 (![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))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[371])).
% 48.49/31.42 tff(373,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')).
% 48.49/31.42 tff(374,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[373, 372])).
% 48.49/31.42 tff(375,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[374, 370])).
% 48.49/31.42 tff(376,plain,(
% 48.49/31.42 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.49/31.42 inference(skolemize,[status(sab)],[375])).
% 48.49/31.42 tff(377,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[376, 369])).
% 48.49/31.42 tff(378,plain,
% 48.49/31.42 (((~![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)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(379,plain,
% 48.49/31.42 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(380,plain,
% 48.49/31.42 (((~![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))))),
% 48.49/31.42 inference(monotonicity,[status(thm)],[379])).
% 48.49/31.42 tff(381,plain,
% 48.49/31.42 (((~![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)))),
% 48.49/31.42 inference(transitivity,[status(thm)],[380, 378])).
% 48.49/31.42 tff(382,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(383,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[382, 381])).
% 48.49/31.42 tff(384,plain,
% 48.49/31.42 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[383, 377, 302])).
% 48.49/31.42 tff(385,plain,
% 48.49/31.42 (v100(constB2) | (~v110(constB2))),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[384, 367])).
% 48.49/31.42 tff(386,plain,
% 48.49/31.42 (v100(constB2)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[385, 320])).
% 48.49/31.42 tff(387,assumption,(v127(constB1, 1)), introduced(assumption)).
% 48.49/31.42 tff(388,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 1))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(389,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[388])).
% 48.49/31.42 tff(390,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(391,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_2')).
% 48.49/31.42 tff(392,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[391, 390])).
% 48.49/31.42 tff(393,plain,(
% 48.49/31.42 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.42 inference(skolemize,[status(sab)],[392])).
% 48.49/31.42 tff(394,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[393, 389])).
% 48.49/31.42 tff(395,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(396,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(397,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[396, 395])).
% 48.49/31.42 tff(398,plain,
% 48.49/31.42 (~v130(constB1, 1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[397, 394, 192])).
% 48.49/31.42 tff(399,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(400,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[399])).
% 48.49/31.42 tff(401,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(402,plain,
% 48.49/31.42 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(403,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[402])).
% 48.49/31.42 tff(404,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 48.49/31.42 tff(405,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[404, 403])).
% 48.49/31.42 tff(406,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[405, 401])).
% 48.49/31.42 tff(407,plain,(
% 48.49/31.42 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(skolemize,[status(sab)],[406])).
% 48.49/31.42 tff(408,plain,
% 48.49/31.42 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[407, 400])).
% 48.49/31.42 tff(409,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(410,plain,
% 48.49/31.42 ((v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1))) <=> ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(411,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)))),
% 48.49/31.42 inference(monotonicity,[status(thm)],[410])).
% 48.49/31.42 tff(412,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 48.49/31.42 inference(transitivity,[status(thm)],[411, 409])).
% 48.49/31.42 tff(413,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(414,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[413, 412])).
% 48.49/31.42 tff(415,plain,
% 48.49/31.42 ((~v127(constB1, 1)) | v26(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[414, 408, 398])).
% 48.49/31.42 tff(416,plain,
% 48.49/31.42 (v26(constB1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[415, 387])).
% 48.49/31.42 tff(417,plain,
% 48.49/31.42 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 1))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(418,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[417])).
% 48.49/31.42 tff(419,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(420,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 48.49/31.42 tff(421,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[420, 419])).
% 48.49/31.42 tff(422,plain,(
% 48.49/31.42 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(skolemize,[status(sab)],[421])).
% 48.49/31.42 tff(423,plain,
% 48.49/31.42 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[422, 418])).
% 48.49/31.42 tff(424,plain,
% 48.49/31.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB1)) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB1)) | (~v127(constB1, 1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(425,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB1)) | (~v127(constB1, 1)))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(426,plain,
% 48.49/31.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB1)) | (~v127(constB1, 1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[425, 424])).
% 48.49/31.42 tff(427,plain,
% 48.49/31.42 ($false),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[426, 423, 387, 416])).
% 48.49/31.42 tff(428,plain,(~v127(constB1, 1)), inference(lemma,lemma(discharge,[]))).
% 48.49/31.42 tff(429,plain,
% 48.49/31.42 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(430,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[429])).
% 48.49/31.42 tff(431,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(432,plain,
% 48.49/31.42 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(433,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[432])).
% 48.49/31.42 tff(434,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 48.49/31.42 tff(435,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[434, 433])).
% 48.49/31.42 tff(436,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[435, 431])).
% 48.49/31.42 tff(437,plain,(
% 48.49/31.42 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 48.49/31.42 inference(skolemize,[status(sab)],[436])).
% 48.49/31.42 tff(438,plain,
% 48.49/31.42 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[437, 430])).
% 48.49/31.42 tff(439,plain,
% 48.49/31.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(440,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(441,plain,
% 48.49/31.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[440, 439])).
% 48.49/31.42 tff(442,plain,
% 48.49/31.42 (v127(constB1, 1) | (~v129(constB2, 1))),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[441, 438, 302])).
% 48.49/31.42 tff(443,plain,
% 48.49/31.42 (~v129(constB2, 1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[442, 428])).
% 48.49/31.42 tff(444,plain,
% 48.49/31.42 (^[VarNext: state_type] : refl(((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(445,plain,
% 48.49/31.42 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[444])).
% 48.49/31.42 tff(446,plain,
% 48.49/31.42 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(447,plain,
% 48.49/31.42 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 48.49/31.42 inference(bind,[status(th)],[])).
% 48.49/31.42 tff(448,plain,
% 48.49/31.42 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 48.49/31.42 inference(quant_intro,[status(thm)],[447])).
% 48.49/31.42 tff(449,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 48.49/31.42 tff(450,plain,
% 48.49/31.42 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[449, 448])).
% 48.49/31.42 tff(451,plain,
% 48.49/31.42 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[450, 446])).
% 48.49/31.42 tff(452,plain,(
% 48.49/31.42 ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 48.49/31.42 inference(skolemize,[status(sab)],[451])).
% 48.49/31.42 tff(453,plain,
% 48.49/31.42 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[452, 445])).
% 48.49/31.42 tff(454,plain,
% 48.49/31.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(455,plain,
% 48.49/31.42 (((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1)) <=> ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(456,plain,
% 48.49/31.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))))),
% 48.49/31.42 inference(monotonicity,[status(thm)],[455])).
% 48.49/31.42 tff(457,plain,
% 48.49/31.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 48.49/31.42 inference(transitivity,[status(thm)],[456, 454])).
% 48.49/31.42 tff(458,plain,
% 48.49/31.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))),
% 48.49/31.42 inference(quant_inst,[status(thm)],[])).
% 48.49/31.42 tff(459,plain,
% 48.49/31.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[458, 457])).
% 48.49/31.42 tff(460,plain,
% 48.49/31.42 ((~v90(constB2, 1)) | (~v100(constB2))),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[459, 453, 443])).
% 48.49/31.42 tff(461,plain,
% 48.49/31.42 (~v90(constB2, 1)),
% 48.49/31.42 inference(unit_resolution,[status(thm)],[460, 386])).
% 48.49/31.42 tff(462,plain,
% 48.49/31.42 ((~v1(constB3)) <=> (~v1(constB3))),
% 48.49/31.42 inference(rewrite,[status(thm)],[])).
% 48.49/31.42 tff(463,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 48.49/31.42 tff(464,plain,
% 48.49/31.42 (~v1(constB3)),
% 48.49/31.42 inference(modus_ponens,[status(thm)],[463, 462])).
% 48.49/31.43 tff(465,plain,
% 48.49/31.43 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(466,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 48.49/31.43 tff(467,plain,
% 48.49/31.43 (nextState(constB2, constB3)),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[466, 465])).
% 48.49/31.43 tff(468,plain,
% 48.49/31.43 (((~![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)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(469,plain,
% 48.49/31.43 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(470,plain,
% 48.49/31.43 (((~![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))))),
% 48.49/31.43 inference(monotonicity,[status(thm)],[469])).
% 48.49/31.43 tff(471,plain,
% 48.49/31.43 (((~![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)))),
% 48.49/31.43 inference(transitivity,[status(thm)],[470, 468])).
% 48.49/31.43 tff(472,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(473,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[472, 471])).
% 48.49/31.43 tff(474,plain,
% 48.49/31.43 (~v101(constB3)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[473, 90, 467, 464])).
% 48.49/31.43 tff(475,plain,
% 48.49/31.43 (((~![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)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(476,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(477,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[476, 475])).
% 48.49/31.43 tff(478,plain,
% 48.49/31.43 (v101(constB3) | (~v100(constB3))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[477, 107, 467])).
% 48.49/31.43 tff(479,plain,
% 48.49/31.43 (~v100(constB3)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[478, 474])).
% 48.49/31.43 tff(480,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(481,plain,
% 48.49/31.43 (((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))) <=> (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(482,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))))),
% 48.49/31.43 inference(monotonicity,[status(thm)],[481])).
% 48.49/31.43 tff(483,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 48.49/31.43 inference(transitivity,[status(thm)],[482, 480])).
% 48.49/31.43 tff(484,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(485,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[484, 483])).
% 48.49/31.43 tff(486,plain,
% 48.49/31.43 (v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[485, 143, 467])).
% 48.49/31.43 tff(487,plain,
% 48.49/31.43 (v90(constB2, 1) | (~v90(constB3, 1))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[486, 479])).
% 48.49/31.43 tff(488,plain,
% 48.49/31.43 (~v90(constB3, 1)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[487, 461])).
% 48.49/31.43 tff(489,assumption,(~v90(constB3, 1)), introduced(assumption)).
% 48.49/31.43 tff(490,assumption,(~v26(constB1)), introduced(assumption)).
% 48.49/31.43 tff(491,plain,
% 48.49/31.43 (v112(constB1)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[284, 490])).
% 48.49/31.43 tff(492,plain,
% 48.49/31.43 (v108(constB1)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[298, 292, 491])).
% 48.49/31.43 tff(493,plain,
% 48.49/31.43 (v110(constB2)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[319, 492])).
% 48.49/31.43 tff(494,plain,
% 48.49/31.43 (v100(constB2)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[385, 493])).
% 48.49/31.43 tff(495,plain,
% 48.49/31.43 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ((~v119(VarCurr)) | v130(VarCurr, 0)))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(496,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[495])).
% 48.49/31.43 tff(497,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(498,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_1')).
% 48.49/31.43 tff(499,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[498, 497])).
% 48.49/31.43 tff(500,plain,(
% 48.49/31.43 ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.43 inference(skolemize,[status(sab)],[499])).
% 48.49/31.43 tff(501,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[500, 496])).
% 48.49/31.43 tff(502,plain,
% 48.49/31.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(503,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(504,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0)),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[503, 502])).
% 48.49/31.43 tff(505,plain,
% 48.49/31.43 (v130(constB1, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[504, 501, 192])).
% 48.49/31.43 tff(506,plain,
% 48.49/31.43 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(507,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[506])).
% 48.49/31.43 tff(508,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(509,plain,
% 48.49/31.43 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(510,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[509])).
% 48.49/31.43 tff(511,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 48.49/31.43 tff(512,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[511, 510])).
% 48.49/31.43 tff(513,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[512, 508])).
% 48.49/31.43 tff(514,plain,(
% 48.49/31.43 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 48.49/31.43 inference(skolemize,[status(sab)],[513])).
% 48.49/31.43 tff(515,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[514, 507])).
% 48.49/31.43 tff(516,plain,
% 48.49/31.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(517,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(518,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0)),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[517, 516])).
% 48.49/31.43 tff(519,plain,
% 48.49/31.43 (v26(constB1) | v127(constB1, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[518, 515, 505])).
% 48.49/31.43 tff(520,plain,
% 48.49/31.43 (v127(constB1, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[519, 490])).
% 48.49/31.43 tff(521,plain,
% 48.49/31.43 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(522,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[521])).
% 48.49/31.43 tff(523,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(524,plain,
% 48.49/31.43 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(525,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[524])).
% 48.49/31.43 tff(526,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 48.49/31.43 tff(527,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[526, 525])).
% 48.49/31.43 tff(528,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[527, 523])).
% 48.49/31.43 tff(529,plain,(
% 48.49/31.43 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 48.49/31.43 inference(skolemize,[status(sab)],[528])).
% 48.49/31.43 tff(530,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[529, 522])).
% 48.49/31.43 tff(531,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(532,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(533,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0)),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[532, 531])).
% 48.49/31.43 tff(534,plain,
% 48.49/31.43 ((~v127(constB1, 0)) | v129(constB2, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[533, 530, 302])).
% 48.49/31.43 tff(535,plain,
% 48.49/31.43 (v129(constB2, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[534, 520])).
% 48.49/31.43 tff(536,plain,
% 48.49/31.43 (^[VarNext: state_type] : refl((v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(537,plain,
% 48.49/31.43 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[536])).
% 48.49/31.43 tff(538,plain,
% 48.49/31.43 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(539,plain,
% 48.49/31.43 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(540,plain,
% 48.49/31.43 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[539])).
% 48.49/31.43 tff(541,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 48.49/31.43 tff(542,plain,
% 48.49/31.43 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[541, 540])).
% 48.49/31.43 tff(543,plain,
% 48.49/31.43 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[542, 538])).
% 48.49/31.43 tff(544,plain,(
% 48.49/31.43 ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 48.49/31.43 inference(skolemize,[status(sab)],[543])).
% 48.49/31.43 tff(545,plain,
% 48.49/31.43 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[544, 537])).
% 48.49/31.43 tff(546,plain,
% 48.49/31.43 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(547,plain,
% 48.49/31.43 ((v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0))) <=> (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(548,plain,
% 48.49/31.43 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))))),
% 48.49/31.43 inference(monotonicity,[status(thm)],[547])).
% 48.49/31.43 tff(549,plain,
% 48.49/31.43 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 48.49/31.43 inference(transitivity,[status(thm)],[548, 546])).
% 48.49/31.43 tff(550,plain,
% 48.49/31.43 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(551,plain,
% 48.49/31.43 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[550, 549])).
% 48.49/31.43 tff(552,plain,
% 48.49/31.43 (v90(constB2, 0) | (~v100(constB2))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[551, 545, 535])).
% 48.49/31.43 tff(553,plain,
% 48.49/31.43 (v90(constB2, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[552, 494])).
% 48.49/31.43 tff(554,plain,
% 48.49/31.43 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(555,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[554])).
% 48.49/31.43 tff(556,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(557,plain,
% 48.49/31.43 (^[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, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(558,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[557])).
% 48.49/31.43 tff(559,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 48.49/31.43 tff(560,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[559, 558])).
% 48.49/31.43 tff(561,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[560, 556])).
% 48.49/31.43 tff(562,plain,(
% 48.49/31.43 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 48.49/31.43 inference(skolemize,[status(sab)],[561])).
% 48.49/31.43 tff(563,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[562, 555])).
% 48.49/31.43 tff(564,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(565,plain,
% 48.49/31.43 (((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)) <=> ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(566,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)))),
% 48.49/31.43 inference(monotonicity,[status(thm)],[565])).
% 48.49/31.43 tff(567,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 48.49/31.43 inference(transitivity,[status(thm)],[566, 564])).
% 48.49/31.43 tff(568,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(569,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[568, 567])).
% 48.49/31.43 tff(570,plain,
% 48.49/31.43 ((~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[569, 563, 467])).
% 48.49/31.43 tff(571,plain,
% 48.49/31.43 ((~v90(constB2, 0)) | v90(constB3, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[570, 479])).
% 48.49/31.43 tff(572,plain,
% 48.49/31.43 (v90(constB3, 0)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[571, 553])).
% 48.49/31.43 tff(573,plain,
% 48.49/31.43 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 2))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(574,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[573])).
% 48.49/31.43 tff(575,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(576,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_3')).
% 48.49/31.43 tff(577,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[576, 575])).
% 48.49/31.43 tff(578,plain,(
% 48.49/31.43 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.43 inference(skolemize,[status(sab)],[577])).
% 48.49/31.43 tff(579,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[578, 574])).
% 48.49/31.43 tff(580,plain,
% 48.49/31.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(581,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(582,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[581, 580])).
% 48.49/31.43 tff(583,plain,
% 48.49/31.43 (~v130(constB1, 2)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[582, 579, 192])).
% 48.49/31.43 tff(584,plain,
% 48.49/31.43 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(585,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[584])).
% 48.49/31.43 tff(586,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(587,plain,
% 48.49/31.43 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(588,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[587])).
% 48.49/31.43 tff(589,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 48.49/31.43 tff(590,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[589, 588])).
% 48.49/31.43 tff(591,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[590, 586])).
% 48.49/31.43 tff(592,plain,(
% 48.49/31.43 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 48.49/31.43 inference(skolemize,[status(sab)],[591])).
% 48.49/31.43 tff(593,plain,
% 48.49/31.43 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[592, 585])).
% 48.49/31.43 tff(594,plain,
% 48.49/31.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(595,plain,
% 48.49/31.43 ((v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2))) <=> ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(596,plain,
% 48.49/31.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)))),
% 48.49/31.43 inference(monotonicity,[status(thm)],[595])).
% 48.49/31.43 tff(597,plain,
% 48.49/31.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 48.49/31.43 inference(transitivity,[status(thm)],[596, 594])).
% 48.49/31.43 tff(598,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(599,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[598, 597])).
% 48.49/31.43 tff(600,plain,
% 48.49/31.43 ((~v127(constB1, 2)) | v26(constB1)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[599, 593, 583])).
% 48.49/31.43 tff(601,plain,
% 48.49/31.43 (~v127(constB1, 2)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[600, 490])).
% 48.49/31.43 tff(602,plain,
% 48.49/31.43 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(603,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[602])).
% 48.49/31.43 tff(604,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(605,plain,
% 48.49/31.43 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(606,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[605])).
% 48.49/31.43 tff(607,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 48.49/31.43 tff(608,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[607, 606])).
% 48.49/31.43 tff(609,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[608, 604])).
% 48.49/31.43 tff(610,plain,(
% 48.49/31.43 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 48.49/31.43 inference(skolemize,[status(sab)],[609])).
% 48.49/31.43 tff(611,plain,
% 48.49/31.43 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[610, 603])).
% 48.49/31.43 tff(612,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(613,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(614,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[613, 612])).
% 48.49/31.43 tff(615,plain,
% 48.49/31.43 (v127(constB1, 2) | (~v129(constB2, 2))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[614, 611, 302])).
% 48.49/31.43 tff(616,plain,
% 48.49/31.43 (~v129(constB2, 2)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[615, 601])).
% 48.49/31.43 tff(617,plain,
% 48.49/31.43 (^[VarNext: state_type] : refl(((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(618,plain,
% 48.49/31.43 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[617])).
% 48.49/31.43 tff(619,plain,
% 48.49/31.43 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(620,plain,
% 48.49/31.43 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(621,plain,
% 48.49/31.43 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[620])).
% 48.49/31.43 tff(622,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 48.49/31.43 tff(623,plain,
% 48.49/31.43 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[622, 621])).
% 48.49/31.43 tff(624,plain,
% 48.49/31.43 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[623, 619])).
% 48.49/31.43 tff(625,plain,(
% 48.49/31.43 ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 48.49/31.43 inference(skolemize,[status(sab)],[624])).
% 48.49/31.43 tff(626,plain,
% 48.49/31.43 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[625, 618])).
% 48.49/31.43 tff(627,plain,
% 48.49/31.43 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(628,plain,
% 48.49/31.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(629,plain,
% 48.49/31.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[628, 627])).
% 48.49/31.43 tff(630,plain,
% 48.49/31.43 ((~v90(constB2, 2)) | (~v100(constB2))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[629, 626, 616])).
% 48.49/31.43 tff(631,plain,
% 48.49/31.43 (~v90(constB2, 2)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[630, 494])).
% 48.49/31.43 tff(632,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(633,plain,
% 48.49/31.43 (((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))) <=> (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(634,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))))),
% 48.49/31.43 inference(monotonicity,[status(thm)],[633])).
% 48.49/31.43 tff(635,plain,
% 48.49/31.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 48.49/31.43 inference(transitivity,[status(thm)],[634, 632])).
% 48.49/31.43 tff(636,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(637,plain,
% 48.49/31.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[636, 635])).
% 48.49/31.43 tff(638,plain,
% 48.49/31.43 (v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[637, 122, 467])).
% 48.49/31.43 tff(639,plain,
% 48.49/31.43 (v90(constB2, 2) | (~v90(constB3, 2))),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[638, 479])).
% 48.49/31.43 tff(640,plain,
% 48.49/31.43 (~v90(constB3, 2)),
% 48.49/31.43 inference(unit_resolution,[status(thm)],[639, 631])).
% 48.49/31.43 tff(641,assumption,(~v120(constB3)), introduced(assumption)).
% 48.49/31.43 tff(642,plain,
% 48.49/31.43 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(643,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[642])).
% 48.49/31.43 tff(644,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(645,plain,
% 48.49/31.43 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))))),
% 48.49/31.43 inference(bind,[status(th)],[])).
% 48.49/31.43 tff(646,plain,
% 48.49/31.43 (![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 48.49/31.43 inference(quant_intro,[status(thm)],[645])).
% 48.49/31.43 tff(647,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 48.49/31.43 tff(648,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[647, 646])).
% 48.49/31.43 tff(649,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[648, 644])).
% 48.49/31.43 tff(650,plain,(
% 48.49/31.43 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 48.49/31.43 inference(skolemize,[status(sab)],[649])).
% 48.49/31.43 tff(651,plain,
% 48.49/31.43 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[650, 643])).
% 48.49/31.43 tff(652,plain,
% 48.49/31.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 48.49/31.43 inference(rewrite,[status(thm)],[])).
% 48.49/31.43 tff(653,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 48.49/31.43 inference(quant_inst,[status(thm)],[])).
% 48.49/31.43 tff(654,plain,
% 48.49/31.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3)),
% 48.49/31.43 inference(modus_ponens,[status(thm)],[653, 652])).
% 48.49/31.43 tff(655,plain,
% 48.49/31.43 ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[654, 651, 641])).
% 48.49/31.44 tff(656,plain,
% 48.49/31.44 ($false),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[655, 640, 572, 489])).
% 48.49/31.44 tff(657,plain,(v26(constB1) | v90(constB3, 1) | v120(constB3)), inference(lemma,lemma(discharge,[]))).
% 48.49/31.44 tff(658,plain,
% 48.49/31.44 (v120(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[657, 488, 74])).
% 48.49/31.44 tff(659,plain,
% 48.49/31.44 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v118(VarCurr)) <=> ((~v120(VarCurr)) | v118(VarCurr)))),
% 48.49/31.44 inference(bind,[status(th)],[])).
% 48.49/31.44 tff(660,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 48.49/31.44 inference(quant_intro,[status(thm)],[659])).
% 48.49/31.44 tff(661,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(662,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 48.49/31.44 tff(663,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[662, 661])).
% 48.49/31.44 tff(664,plain,(
% 48.49/31.44 ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 48.49/31.44 inference(skolemize,[status(sab)],[663])).
% 48.49/31.44 tff(665,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[664, 660])).
% 48.49/31.44 tff(666,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(667,plain,
% 48.49/31.44 (((~v120(constB3)) | v118(constB3)) <=> (v118(constB3) | (~v120(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(668,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[667])).
% 48.49/31.44 tff(669,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[668, 666])).
% 48.49/31.44 tff(670,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(671,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[670, 669])).
% 48.49/31.44 tff(672,plain,
% 48.49/31.44 (v118(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[671, 665, 658])).
% 48.49/31.44 tff(673,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(674,plain,
% 48.49/31.44 (((~v118(constB3)) | v117(constB3)) <=> (v117(constB3) | (~v118(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(675,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[674])).
% 48.49/31.44 tff(676,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[675, 673])).
% 48.49/31.44 tff(677,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(678,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[677, 676])).
% 48.49/31.44 tff(679,plain,
% 48.49/31.44 (v117(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[678, 210, 672])).
% 48.49/31.44 tff(680,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(681,plain,
% 48.49/31.44 (((~v117(constB3)) | v116(constB3)) <=> (v116(constB3) | (~v117(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(682,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[681])).
% 48.49/31.44 tff(683,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[682, 680])).
% 48.49/31.44 tff(684,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(685,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[684, 683])).
% 48.49/31.44 tff(686,plain,
% 48.49/31.44 (v116(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[685, 224, 679])).
% 48.49/31.44 tff(687,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(688,plain,
% 48.49/31.44 (((~v116(constB3)) | v115(constB3)) <=> (v115(constB3) | (~v116(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(689,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[688])).
% 48.49/31.44 tff(690,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[689, 687])).
% 48.49/31.44 tff(691,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(692,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[691, 690])).
% 48.49/31.44 tff(693,plain,
% 48.49/31.44 (v115(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[692, 238, 686])).
% 48.49/31.44 tff(694,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(695,plain,
% 48.49/31.44 (((~v115(constB3)) | v114(constB3)) <=> (v114(constB3) | (~v115(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(696,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[695])).
% 48.49/31.44 tff(697,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[696, 694])).
% 48.49/31.44 tff(698,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(699,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[698, 697])).
% 48.49/31.44 tff(700,plain,
% 48.49/31.44 (v114(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[699, 252, 693])).
% 48.49/31.44 tff(701,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(702,plain,
% 48.49/31.44 (((~v114(constB3)) | v113(constB3)) <=> (v113(constB3) | (~v114(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(703,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[702])).
% 48.49/31.44 tff(704,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[703, 701])).
% 48.49/31.44 tff(705,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(706,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[705, 704])).
% 48.49/31.44 tff(707,plain,
% 48.49/31.44 (v113(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[706, 266, 700])).
% 48.49/31.44 tff(708,assumption,(v26(constB3)), introduced(assumption)).
% 48.49/31.44 tff(709,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(710,plain,
% 48.49/31.44 ($false),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[709, 43, 708])).
% 48.49/31.44 tff(711,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 48.49/31.44 tff(712,plain,
% 48.49/31.44 (((~![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))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(713,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(714,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[713, 712])).
% 48.49/31.44 tff(715,plain,
% 48.49/31.44 ((~v113(constB3)) | v112(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[714, 280, 711])).
% 48.49/31.44 tff(716,plain,
% 48.49/31.44 (v112(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[715, 707])).
% 48.49/31.44 tff(717,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(718,plain,
% 48.49/31.44 (((~v112(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v112(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(719,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[718])).
% 48.49/31.44 tff(720,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[719, 717])).
% 48.49/31.44 tff(721,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(722,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[721, 720])).
% 48.49/31.44 tff(723,plain,
% 48.49/31.44 (v108(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[722, 292, 716])).
% 48.49/31.44 tff(724,plain,
% 48.49/31.44 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(725,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 48.49/31.44 tff(726,plain,
% 48.49/31.44 (nextState(constB3, constB4)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[725, 724])).
% 48.49/31.44 tff(727,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(728,plain,
% 48.49/31.44 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(729,plain,
% 48.49/31.44 (((~![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))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[728])).
% 48.49/31.44 tff(730,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[729, 727])).
% 48.49/31.44 tff(731,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(732,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[731, 730])).
% 48.49/31.44 tff(733,plain,
% 48.49/31.44 (v110(constB4) | (~v108(constB3))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[732, 312, 726])).
% 48.49/31.44 tff(734,plain,
% 48.49/31.44 (v110(constB4)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[733, 723])).
% 48.49/31.44 tff(735,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(736,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(737,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[736, 735])).
% 48.49/31.44 tff(738,plain,
% 48.49/31.44 (~v104(constB4)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[737, 330, 726, 464])).
% 48.49/31.44 tff(739,plain,
% 48.49/31.44 (((~![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)) | v102(constB4) | v104(constB4))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(740,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(741,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[740, 739])).
% 48.49/31.44 tff(742,plain,
% 48.49/31.44 (v102(constB4) | v104(constB4)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[741, 344, 726])).
% 48.49/31.44 tff(743,plain,
% 48.49/31.44 (v102(constB4)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[742, 738])).
% 48.49/31.44 tff(744,plain,
% 48.49/31.44 (v1(constB4) <=> v1(constB4)),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(745,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 48.49/31.44 tff(746,plain,
% 48.49/31.44 (v1(constB4)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[745, 744])).
% 48.49/31.44 tff(747,plain,
% 48.49/31.44 (((~![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)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(748,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(749,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[748, 747])).
% 48.49/31.44 tff(750,plain,
% 48.49/31.44 (v101(constB4) | (~v102(constB4))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[749, 362, 726, 746])).
% 48.49/31.44 tff(751,plain,
% 48.49/31.44 (v101(constB4)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[750, 743])).
% 48.49/31.44 tff(752,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(753,plain,
% 48.49/31.44 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(754,plain,
% 48.49/31.44 (((~![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))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[753])).
% 48.49/31.44 tff(755,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[754, 752])).
% 48.49/31.44 tff(756,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(757,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[756, 755])).
% 48.49/31.44 tff(758,plain,
% 48.49/31.44 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[757, 377, 726])).
% 48.49/31.44 tff(759,plain,
% 48.49/31.44 (v100(constB4) | (~v110(constB4))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[758, 751])).
% 48.49/31.44 tff(760,plain,
% 48.49/31.44 (v100(constB4)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[759, 734])).
% 48.49/31.44 tff(761,plain,
% 48.49/31.44 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 2))))),
% 48.49/31.44 inference(bind,[status(th)],[])).
% 48.49/31.44 tff(762,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.44 inference(quant_intro,[status(thm)],[761])).
% 48.49/31.44 tff(763,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(764,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_3')).
% 48.49/31.44 tff(765,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[764, 763])).
% 48.49/31.44 tff(766,plain,(
% 48.49/31.44 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.44 inference(skolemize,[status(sab)],[765])).
% 48.49/31.44 tff(767,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[766, 762])).
% 48.49/31.44 tff(768,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(769,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(770,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[769, 768])).
% 48.49/31.44 tff(771,plain,
% 48.49/31.44 (~v130(constB3, 2)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[770, 767, 658])).
% 48.49/31.44 tff(772,assumption,(v127(constB3, 2)), introduced(assumption)).
% 48.49/31.44 tff(773,assumption,(~v130(constB3, 2)), introduced(assumption)).
% 48.49/31.44 tff(774,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(775,plain,
% 48.49/31.44 ((v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2))) <=> ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(776,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[775])).
% 48.49/31.44 tff(777,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 48.49/31.44 inference(transitivity,[status(thm)],[776, 774])).
% 48.49/31.44 tff(778,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(779,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[778, 777])).
% 48.49/31.44 tff(780,plain,
% 48.49/31.44 ((~v127(constB3, 2)) | v26(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[779, 593, 773])).
% 48.49/31.44 tff(781,plain,
% 48.49/31.44 (v26(constB3)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[780, 772])).
% 48.49/31.44 tff(782,plain,
% 48.49/31.44 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 2))))),
% 48.49/31.44 inference(bind,[status(th)],[])).
% 48.49/31.44 tff(783,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 48.49/31.44 inference(quant_intro,[status(thm)],[782])).
% 48.49/31.44 tff(784,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(785,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 48.49/31.44 tff(786,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[785, 784])).
% 48.49/31.44 tff(787,plain,(
% 48.49/31.44 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 48.49/31.44 inference(skolemize,[status(sab)],[786])).
% 48.49/31.44 tff(788,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[787, 783])).
% 48.49/31.44 tff(789,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB3)) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB3)) | (~v127(constB3, 2)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(790,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB3)) | (~v127(constB3, 2)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(791,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB3)) | (~v127(constB3, 2))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[790, 789])).
% 48.49/31.44 tff(792,plain,
% 48.49/31.44 ($false),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[791, 788, 772, 781])).
% 48.49/31.44 tff(793,plain,((~v127(constB3, 2)) | v130(constB3, 2)), inference(lemma,lemma(discharge,[]))).
% 48.49/31.44 tff(794,plain,
% 48.49/31.44 (~v127(constB3, 2)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[793, 771])).
% 48.49/31.44 tff(795,plain,
% 48.49/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(796,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(797,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[796, 795])).
% 48.49/31.44 tff(798,plain,
% 48.49/31.44 (v127(constB3, 2) | (~v129(constB4, 2))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[797, 611, 726])).
% 48.49/31.44 tff(799,plain,
% 48.49/31.44 (~v129(constB4, 2)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[798, 794])).
% 48.49/31.44 tff(800,plain,
% 48.49/31.44 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(801,plain,
% 48.49/31.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(802,plain,
% 48.49/31.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[801, 800])).
% 48.49/31.44 tff(803,plain,
% 48.49/31.44 ((~v90(constB4, 2)) | (~v100(constB4))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[802, 626, 799])).
% 48.49/31.44 tff(804,plain,
% 48.49/31.44 (~v90(constB4, 2)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[803, 760])).
% 48.49/31.44 tff(805,plain,
% 48.49/31.44 ((~v1(constB5)) <=> (~v1(constB5))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(806,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 48.49/31.44 tff(807,plain,
% 48.49/31.44 (~v1(constB5)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[806, 805])).
% 48.49/31.44 tff(808,plain,
% 48.49/31.44 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(809,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 48.49/31.44 tff(810,plain,
% 48.49/31.44 (nextState(constB4, constB5)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[809, 808])).
% 48.49/31.44 tff(811,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(812,plain,
% 48.49/31.44 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(813,plain,
% 48.49/31.44 (((~![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))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[812])).
% 48.49/31.44 tff(814,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[813, 811])).
% 48.49/31.44 tff(815,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(816,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[815, 814])).
% 48.49/31.44 tff(817,plain,
% 48.49/31.44 (~v101(constB5)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[816, 90, 810, 807])).
% 48.49/31.44 tff(818,plain,
% 48.49/31.44 (((~![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)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(819,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(820,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[819, 818])).
% 48.49/31.44 tff(821,plain,
% 48.49/31.44 (v101(constB5) | (~v100(constB5))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[820, 107, 810])).
% 48.49/31.44 tff(822,plain,
% 48.49/31.44 (~v100(constB5)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[821, 817])).
% 48.49/31.44 tff(823,plain,
% 48.49/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(824,plain,
% 48.49/31.44 (((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))) <=> (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(825,plain,
% 48.49/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))))),
% 48.49/31.44 inference(monotonicity,[status(thm)],[824])).
% 48.49/31.44 tff(826,plain,
% 48.49/31.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 48.49/31.44 inference(transitivity,[status(thm)],[825, 823])).
% 48.49/31.44 tff(827,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(828,plain,
% 48.49/31.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[827, 826])).
% 48.49/31.44 tff(829,plain,
% 48.49/31.44 (v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[828, 122, 810])).
% 48.49/31.44 tff(830,plain,
% 48.49/31.44 (v90(constB4, 2) | (~v90(constB5, 2))),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[829, 822])).
% 48.49/31.44 tff(831,plain,
% 48.49/31.44 (~v90(constB5, 2)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[830, 804])).
% 48.49/31.44 tff(832,plain,
% 48.49/31.44 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ((~v120(VarCurr)) | v130(VarCurr, 1)))),
% 48.49/31.44 inference(bind,[status(th)],[])).
% 48.49/31.44 tff(833,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.44 inference(quant_intro,[status(thm)],[832])).
% 48.49/31.44 tff(834,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(835,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_2')).
% 48.49/31.44 tff(836,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[835, 834])).
% 48.49/31.44 tff(837,plain,(
% 48.49/31.44 ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.44 inference(skolemize,[status(sab)],[836])).
% 48.49/31.44 tff(838,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[837, 833])).
% 48.49/31.44 tff(839,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(840,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))),
% 48.49/31.44 inference(quant_inst,[status(thm)],[])).
% 48.49/31.44 tff(841,plain,
% 48.49/31.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1)),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[840, 839])).
% 48.49/31.44 tff(842,plain,
% 48.49/31.44 (v130(constB3, 1)),
% 48.49/31.44 inference(unit_resolution,[status(thm)],[841, 838, 658])).
% 48.49/31.44 tff(843,plain,
% 48.49/31.44 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 48.49/31.44 inference(bind,[status(th)],[])).
% 48.49/31.44 tff(844,plain,
% 48.49/31.44 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 48.49/31.44 inference(quant_intro,[status(thm)],[843])).
% 48.49/31.44 tff(845,plain,
% 48.49/31.44 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 48.49/31.44 inference(rewrite,[status(thm)],[])).
% 48.49/31.44 tff(846,plain,
% 48.49/31.44 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 48.49/31.44 inference(bind,[status(th)],[])).
% 48.49/31.44 tff(847,plain,
% 48.49/31.44 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 48.49/31.44 inference(quant_intro,[status(thm)],[846])).
% 48.49/31.44 tff(848,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 48.49/31.44 tff(849,plain,
% 48.49/31.44 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[848, 847])).
% 48.49/31.44 tff(850,plain,
% 48.49/31.44 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[849, 845])).
% 48.49/31.44 tff(851,plain,(
% 48.49/31.44 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 48.49/31.44 inference(skolemize,[status(sab)],[850])).
% 48.49/31.44 tff(852,plain,
% 48.49/31.44 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 48.49/31.44 inference(modus_ponens,[status(thm)],[851, 844])).
% 48.49/31.44 tff(853,plain,
% 48.49/31.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(854,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(855,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[854, 853])).
% 48.49/31.45 tff(856,plain,
% 48.49/31.45 ((~v130(constB3, 1)) | v127(constB3, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[855, 852, 711])).
% 48.49/31.45 tff(857,plain,
% 48.49/31.45 (v127(constB3, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[856, 842])).
% 48.49/31.45 tff(858,plain,
% 48.49/31.45 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(859,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[858])).
% 48.49/31.45 tff(860,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(861,plain,
% 48.49/31.45 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(862,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[861])).
% 48.49/31.45 tff(863,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 48.49/31.45 tff(864,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[863, 862])).
% 48.49/31.45 tff(865,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[864, 860])).
% 48.49/31.45 tff(866,plain,(
% 48.49/31.45 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 48.49/31.45 inference(skolemize,[status(sab)],[865])).
% 48.49/31.45 tff(867,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[866, 859])).
% 48.49/31.45 tff(868,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(869,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(870,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[869, 868])).
% 48.49/31.45 tff(871,plain,
% 48.49/31.45 ((~v127(constB3, 1)) | v129(constB4, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[870, 867, 726])).
% 48.49/31.45 tff(872,plain,
% 48.49/31.45 (v129(constB4, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[871, 857])).
% 48.49/31.45 tff(873,plain,
% 48.49/31.45 (^[VarNext: state_type] : refl((v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(874,plain,
% 48.49/31.45 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[873])).
% 48.49/31.45 tff(875,plain,
% 48.49/31.45 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(876,plain,
% 48.49/31.45 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(877,plain,
% 48.49/31.45 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[876])).
% 48.49/31.45 tff(878,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 48.49/31.45 tff(879,plain,
% 48.49/31.45 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[878, 877])).
% 48.49/31.45 tff(880,plain,
% 48.49/31.45 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[879, 875])).
% 48.49/31.45 tff(881,plain,(
% 48.49/31.45 ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 48.49/31.45 inference(skolemize,[status(sab)],[880])).
% 48.49/31.45 tff(882,plain,
% 48.49/31.45 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[881, 874])).
% 48.49/31.45 tff(883,plain,
% 48.49/31.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(884,plain,
% 48.49/31.45 ((v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1))) <=> (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(885,plain,
% 48.49/31.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[884])).
% 48.49/31.45 tff(886,plain,
% 48.49/31.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[885, 883])).
% 48.49/31.45 tff(887,plain,
% 48.49/31.45 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(888,plain,
% 48.49/31.45 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[887, 886])).
% 48.49/31.45 tff(889,plain,
% 48.49/31.45 (v90(constB4, 1) | (~v100(constB4))),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[888, 882, 872])).
% 48.49/31.45 tff(890,plain,
% 48.49/31.45 (v90(constB4, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[889, 760])).
% 48.49/31.45 tff(891,plain,
% 48.49/31.45 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(892,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[891])).
% 48.49/31.45 tff(893,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(894,plain,
% 48.49/31.45 (^[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, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(895,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[894])).
% 48.49/31.45 tff(896,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 48.49/31.45 tff(897,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[896, 895])).
% 48.49/31.45 tff(898,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[897, 893])).
% 48.49/31.45 tff(899,plain,(
% 48.49/31.45 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 48.49/31.45 inference(skolemize,[status(sab)],[898])).
% 48.49/31.45 tff(900,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[899, 892])).
% 48.49/31.45 tff(901,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(902,plain,
% 48.49/31.45 (((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)) <=> ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(903,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[902])).
% 48.49/31.45 tff(904,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 48.49/31.45 inference(transitivity,[status(thm)],[903, 901])).
% 48.49/31.45 tff(905,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(906,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[905, 904])).
% 48.49/31.45 tff(907,plain,
% 48.49/31.45 ((~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[906, 900, 810])).
% 48.49/31.45 tff(908,plain,
% 48.49/31.45 ((~v90(constB4, 1)) | v90(constB5, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[907, 822])).
% 48.49/31.45 tff(909,plain,
% 48.49/31.45 (v90(constB5, 1)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[908, 890])).
% 48.49/31.45 tff(910,plain,
% 48.49/31.45 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 0))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(911,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[910])).
% 48.49/31.45 tff(912,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(913,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_1')).
% 48.49/31.45 tff(914,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[913, 912])).
% 48.49/31.45 tff(915,plain,(
% 48.49/31.45 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.45 inference(skolemize,[status(sab)],[914])).
% 48.49/31.45 tff(916,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[915, 911])).
% 48.49/31.45 tff(917,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(918,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(919,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[918, 917])).
% 48.49/31.45 tff(920,plain,
% 48.49/31.45 (~v130(constB3, 0)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[919, 916, 658])).
% 48.49/31.45 tff(921,plain,
% 48.49/31.45 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(922,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[921])).
% 48.49/31.45 tff(923,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(924,plain,
% 48.49/31.45 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(925,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[924])).
% 48.49/31.45 tff(926,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 48.49/31.45 tff(927,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[926, 925])).
% 48.49/31.45 tff(928,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[927, 923])).
% 48.49/31.45 tff(929,plain,(
% 48.49/31.45 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 48.49/31.45 inference(skolemize,[status(sab)],[928])).
% 48.49/31.45 tff(930,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[929, 922])).
% 48.49/31.45 tff(931,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(932,plain,
% 48.49/31.45 ((v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0))) <=> ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(933,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[932])).
% 48.49/31.45 tff(934,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 48.49/31.45 inference(transitivity,[status(thm)],[933, 931])).
% 48.49/31.45 tff(935,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(936,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[935, 934])).
% 48.49/31.45 tff(937,plain,
% 48.49/31.45 ((~v127(constB3, 0)) | v130(constB3, 0)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[936, 930, 711])).
% 48.49/31.45 tff(938,plain,
% 48.49/31.45 (~v127(constB3, 0)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[937, 920])).
% 48.49/31.45 tff(939,plain,
% 48.49/31.45 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(940,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[939])).
% 48.49/31.45 tff(941,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(942,plain,
% 48.49/31.45 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(943,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[942])).
% 48.49/31.45 tff(944,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 48.49/31.45 tff(945,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[944, 943])).
% 48.49/31.45 tff(946,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[945, 941])).
% 48.49/31.45 tff(947,plain,(
% 48.49/31.45 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 48.49/31.45 inference(skolemize,[status(sab)],[946])).
% 48.49/31.45 tff(948,plain,
% 48.49/31.45 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[947, 940])).
% 48.49/31.45 tff(949,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(950,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(951,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[950, 949])).
% 48.49/31.45 tff(952,plain,
% 48.49/31.45 (v127(constB3, 0) | (~v129(constB4, 0))),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[951, 948, 726])).
% 48.49/31.45 tff(953,plain,
% 48.49/31.45 (~v129(constB4, 0)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[952, 938])).
% 48.49/31.45 tff(954,plain,
% 48.49/31.45 (^[VarNext: state_type] : refl(((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(955,plain,
% 48.49/31.45 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[954])).
% 48.49/31.45 tff(956,plain,
% 48.49/31.45 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(957,plain,
% 48.49/31.45 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(958,plain,
% 48.49/31.45 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[957])).
% 48.49/31.45 tff(959,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 48.49/31.45 tff(960,plain,
% 48.49/31.45 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[959, 958])).
% 48.49/31.45 tff(961,plain,
% 48.49/31.45 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[960, 956])).
% 48.49/31.45 tff(962,plain,(
% 48.49/31.45 ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 48.49/31.45 inference(skolemize,[status(sab)],[961])).
% 48.49/31.45 tff(963,plain,
% 48.49/31.45 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[962, 955])).
% 48.49/31.45 tff(964,plain,
% 48.49/31.45 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(965,plain,
% 48.49/31.45 (((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0)) <=> ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(966,plain,
% 48.49/31.45 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[965])).
% 48.49/31.45 tff(967,plain,
% 48.49/31.45 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[966, 964])).
% 48.49/31.45 tff(968,plain,
% 48.49/31.45 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(969,plain,
% 48.49/31.45 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[968, 967])).
% 48.49/31.45 tff(970,plain,
% 48.49/31.45 ((~v90(constB4, 0)) | (~v100(constB4))),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[969, 963, 953])).
% 48.49/31.45 tff(971,plain,
% 48.49/31.45 (~v90(constB4, 0)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[970, 760])).
% 48.49/31.45 tff(972,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(973,plain,
% 48.49/31.45 (((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))) <=> (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(974,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[973])).
% 48.49/31.45 tff(975,plain,
% 48.49/31.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[974, 972])).
% 48.49/31.45 tff(976,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(977,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[976, 975])).
% 48.49/31.45 tff(978,plain,
% 48.49/31.45 (v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[977, 164, 810])).
% 48.49/31.45 tff(979,plain,
% 48.49/31.45 (v90(constB4, 0) | (~v90(constB5, 0))),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[978, 822])).
% 48.49/31.45 tff(980,plain,
% 48.49/31.45 (~v90(constB5, 0)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[979, 971])).
% 48.49/31.45 tff(981,plain,
% 48.49/31.45 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(982,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[981])).
% 48.49/31.45 tff(983,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(984,plain,
% 48.49/31.45 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(985,plain,
% 48.49/31.45 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[984])).
% 48.49/31.45 tff(986,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 48.49/31.45 tff(987,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[986, 985])).
% 48.49/31.45 tff(988,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[987, 983])).
% 48.49/31.45 tff(989,plain,(
% 48.49/31.45 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 48.49/31.45 inference(skolemize,[status(sab)],[988])).
% 48.49/31.45 tff(990,plain,
% 48.49/31.45 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[989, 982])).
% 48.49/31.45 tff(991,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(992,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(993,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[992, 991])).
% 48.49/31.45 tff(994,plain,
% 48.49/31.45 (v121(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[993, 990, 980, 909, 831])).
% 48.49/31.45 tff(995,plain,
% 48.49/31.45 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v117(VarCurr)) <=> ((~v121(VarCurr)) | v117(VarCurr)))),
% 48.49/31.45 inference(bind,[status(th)],[])).
% 48.49/31.45 tff(996,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 48.49/31.45 inference(quant_intro,[status(thm)],[995])).
% 48.49/31.45 tff(997,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(998,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 48.49/31.45 tff(999,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[998, 997])).
% 48.49/31.45 tff(1000,plain,(
% 48.49/31.45 ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 48.49/31.45 inference(skolemize,[status(sab)],[999])).
% 48.49/31.45 tff(1001,plain,
% 48.49/31.45 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1000, 996])).
% 48.49/31.45 tff(1002,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB5) | (~v121(constB5)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB5) | (~v121(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1003,plain,
% 48.49/31.45 (((~v121(constB5)) | v117(constB5)) <=> (v117(constB5) | (~v121(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1004,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB5) | (~v121(constB5))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[1003])).
% 48.49/31.45 tff(1005,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB5) | (~v121(constB5)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[1004, 1002])).
% 48.49/31.45 tff(1006,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1007,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB5) | (~v121(constB5))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 48.49/31.45 tff(1008,plain,
% 48.49/31.45 (v117(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1007, 1001, 994])).
% 48.49/31.45 tff(1009,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB5)) | v116(constB5))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1010,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1011,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB5)) | v116(constB5)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 48.49/31.45 tff(1012,plain,
% 48.49/31.45 (v116(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1011, 224, 1008])).
% 48.49/31.45 tff(1013,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1014,plain,
% 48.49/31.45 (((~v116(constB5)) | v115(constB5)) <=> (v115(constB5) | (~v116(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1015,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[1014])).
% 48.49/31.45 tff(1016,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[1015, 1013])).
% 48.49/31.45 tff(1017,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1018,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 48.49/31.45 tff(1019,plain,
% 48.49/31.45 (v115(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1018, 238, 1012])).
% 48.49/31.45 tff(1020,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB5)) | v114(constB5))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1021,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1022,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB5)) | v114(constB5)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 48.49/31.45 tff(1023,plain,
% 48.49/31.45 (v114(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1022, 252, 1019])).
% 48.49/31.45 tff(1024,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1025,plain,
% 48.49/31.45 (((~v114(constB5)) | v113(constB5)) <=> (v113(constB5) | (~v114(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1026,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[1025])).
% 48.49/31.45 tff(1027,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[1026, 1024])).
% 48.49/31.45 tff(1028,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1029,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 48.49/31.45 tff(1030,plain,
% 48.49/31.45 (v113(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1029, 266, 1023])).
% 48.49/31.45 tff(1031,assumption,(v26(constB5)), introduced(assumption)).
% 48.49/31.45 tff(1032,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1033,plain,
% 48.49/31.45 ($false),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1032, 43, 1031])).
% 48.49/31.45 tff(1034,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 48.49/31.45 tff(1035,plain,
% 48.49/31.45 (((~![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) | (~v113(constB5)) | v112(constB5))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1036,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1037,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1036, 1035])).
% 48.49/31.45 tff(1038,plain,
% 48.49/31.45 ((~v113(constB5)) | v112(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1037, 280, 1034])).
% 48.49/31.45 tff(1039,plain,
% 48.49/31.45 (v112(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1038, 1030])).
% 48.49/31.45 tff(1040,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1041,plain,
% 48.49/31.45 (((~v112(constB5)) | v108(constB5)) <=> (v108(constB5) | (~v112(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1042,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[1041])).
% 48.49/31.45 tff(1043,plain,
% 48.49/31.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[1042, 1040])).
% 48.49/31.45 tff(1044,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1045,plain,
% 48.49/31.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 48.49/31.45 tff(1046,plain,
% 48.49/31.45 (v108(constB5)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1045, 292, 1039])).
% 48.49/31.45 tff(1047,plain,
% 48.49/31.45 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1048,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 48.49/31.45 tff(1049,plain,
% 48.49/31.45 (nextState(constB5, constB6)),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 48.49/31.45 tff(1050,plain,
% 48.49/31.45 (((~![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)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1051,plain,
% 48.49/31.45 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1052,plain,
% 48.49/31.45 (((~![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))))),
% 48.49/31.45 inference(monotonicity,[status(thm)],[1051])).
% 48.49/31.45 tff(1053,plain,
% 48.49/31.45 (((~![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)))),
% 48.49/31.45 inference(transitivity,[status(thm)],[1052, 1050])).
% 48.49/31.45 tff(1054,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1055,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 48.49/31.45 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 48.49/31.45 tff(1056,plain,
% 48.49/31.45 (v110(constB6) | (~v108(constB5))),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1055, 312, 1049])).
% 48.49/31.45 tff(1057,plain,
% 48.49/31.45 (v110(constB6)),
% 48.49/31.45 inference(unit_resolution,[status(thm)],[1056, 1046])).
% 48.49/31.45 tff(1058,plain,
% 48.49/31.45 (((~![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)))),
% 48.49/31.45 inference(rewrite,[status(thm)],[])).
% 48.49/31.45 tff(1059,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 48.49/31.45 inference(quant_inst,[status(thm)],[])).
% 48.49/31.45 tff(1060,plain,
% 48.49/31.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 48.49/31.46 tff(1061,plain,
% 48.49/31.46 (~v104(constB6)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1060, 330, 1049, 807])).
% 48.49/31.46 tff(1062,plain,
% 48.49/31.46 (((~![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)) | v102(constB6) | v104(constB6))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1063,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1064,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 48.49/31.46 tff(1065,plain,
% 48.49/31.46 (v102(constB6) | v104(constB6)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1064, 344, 1049])).
% 48.49/31.46 tff(1066,plain,
% 48.49/31.46 (v102(constB6)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1065, 1061])).
% 48.49/31.46 tff(1067,plain,
% 48.49/31.46 (v1(constB6) <=> v1(constB6)),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1068,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 48.49/31.46 tff(1069,plain,
% 48.49/31.46 (v1(constB6)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 48.49/31.46 tff(1070,plain,
% 48.49/31.46 (((~![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)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1071,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1072,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 48.49/31.46 tff(1073,plain,
% 48.49/31.46 (v101(constB6) | (~v102(constB6))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1072, 362, 1049, 1069])).
% 48.49/31.46 tff(1074,plain,
% 48.49/31.46 (v101(constB6)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1073, 1066])).
% 48.49/31.46 tff(1075,plain,
% 48.49/31.46 (((~![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)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1076,plain,
% 48.49/31.46 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1077,plain,
% 48.49/31.46 (((~![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))))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1076])).
% 48.49/31.46 tff(1078,plain,
% 48.49/31.46 (((~![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)))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1077, 1075])).
% 48.49/31.46 tff(1079,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1080,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 48.49/31.46 tff(1081,plain,
% 48.49/31.46 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1080, 377, 1049])).
% 48.49/31.46 tff(1082,plain,
% 48.49/31.46 (v100(constB6) | (~v110(constB6))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1081, 1074])).
% 48.49/31.46 tff(1083,plain,
% 48.49/31.46 (v100(constB6)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1082, 1057])).
% 48.49/31.46 tff(1084,plain,
% 48.49/31.46 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, 2))))),
% 48.49/31.46 inference(bind,[status(th)],[])).
% 48.49/31.46 tff(1085,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.46 inference(quant_intro,[status(thm)],[1084])).
% 48.49/31.46 tff(1086,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1087,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_3')).
% 48.49/31.46 tff(1088,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 48.49/31.46 tff(1089,plain,(
% 48.49/31.46 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.46 inference(skolemize,[status(sab)],[1088])).
% 48.49/31.46 tff(1090,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1089, 1085])).
% 48.49/31.46 tff(1091,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1092,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1093,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 48.49/31.46 tff(1094,plain,
% 48.49/31.46 (~v130(constB5, 2)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1093, 1090, 994])).
% 48.49/31.46 tff(1095,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1096,plain,
% 48.49/31.46 ((v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2))) <=> ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1097,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1096])).
% 48.49/31.46 tff(1098,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1097, 1095])).
% 48.49/31.46 tff(1099,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1100,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 48.49/31.46 tff(1101,plain,
% 48.49/31.46 ((~v127(constB5, 2)) | v130(constB5, 2)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1100, 593, 1034])).
% 48.49/31.46 tff(1102,plain,
% 48.49/31.46 (~v127(constB5, 2)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1101, 1094])).
% 48.49/31.46 tff(1103,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1104,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1105,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 48.49/31.46 tff(1106,plain,
% 48.49/31.46 (v127(constB5, 2) | (~v129(constB6, 2))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1105, 611, 1049])).
% 48.49/31.46 tff(1107,plain,
% 48.49/31.46 (~v129(constB6, 2)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1106, 1102])).
% 48.49/31.46 tff(1108,plain,
% 48.49/31.46 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1109,plain,
% 48.49/31.46 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1110,plain,
% 48.49/31.46 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 48.49/31.46 tff(1111,plain,
% 48.49/31.46 ((~v90(constB6, 2)) | (~v100(constB6))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1110, 626, 1107])).
% 48.49/31.46 tff(1112,plain,
% 48.49/31.46 (~v90(constB6, 2)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1111, 1083])).
% 48.49/31.46 tff(1113,plain,
% 48.49/31.46 ((~v1(constB7)) <=> (~v1(constB7))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1114,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 48.49/31.46 tff(1115,plain,
% 48.49/31.46 (~v1(constB7)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 48.49/31.46 tff(1116,plain,
% 48.49/31.46 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1117,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 48.49/31.46 tff(1118,plain,
% 48.49/31.46 (nextState(constB6, constB7)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 48.49/31.46 tff(1119,plain,
% 48.49/31.46 (((~![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)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1120,plain,
% 48.49/31.46 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1121,plain,
% 48.49/31.46 (((~![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))))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1120])).
% 48.49/31.46 tff(1122,plain,
% 48.49/31.46 (((~![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)))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1121, 1119])).
% 48.49/31.46 tff(1123,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1124,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 48.49/31.46 tff(1125,plain,
% 48.49/31.46 (~v101(constB7)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1124, 90, 1118, 1115])).
% 48.49/31.46 tff(1126,plain,
% 48.49/31.46 (((~![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)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1127,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1128,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 48.49/31.46 tff(1129,plain,
% 48.49/31.46 (v101(constB7) | (~v100(constB7))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1128, 107, 1118])).
% 48.49/31.46 tff(1130,plain,
% 48.49/31.46 (~v100(constB7)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1129, 1125])).
% 48.49/31.46 tff(1131,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1132,plain,
% 48.49/31.46 (((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))) <=> (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1133,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1132])).
% 48.49/31.46 tff(1134,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1133, 1131])).
% 48.49/31.46 tff(1135,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1136,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 48.49/31.46 tff(1137,plain,
% 48.49/31.46 (v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1136, 122, 1118])).
% 48.49/31.46 tff(1138,plain,
% 48.49/31.46 (v90(constB6, 2) | (~v90(constB7, 2))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1137, 1130])).
% 48.49/31.46 tff(1139,plain,
% 48.49/31.46 (~v90(constB7, 2)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1138, 1112])).
% 48.49/31.46 tff(1140,plain,
% 48.49/31.46 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ((~v121(VarCurr)) | v130(VarCurr, 1)))),
% 48.49/31.46 inference(bind,[status(th)],[])).
% 48.49/31.46 tff(1141,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.46 inference(quant_intro,[status(thm)],[1140])).
% 48.49/31.46 tff(1142,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1143,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_2')).
% 48.49/31.46 tff(1144,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 48.49/31.46 tff(1145,plain,(
% 48.49/31.46 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.46 inference(skolemize,[status(sab)],[1144])).
% 48.49/31.46 tff(1146,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1145, 1141])).
% 48.49/31.46 tff(1147,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1148,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1149,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 48.49/31.46 tff(1150,plain,
% 48.49/31.46 (v130(constB5, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1149, 1146, 994])).
% 48.49/31.46 tff(1151,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1152,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1153,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 48.49/31.46 tff(1154,plain,
% 48.49/31.46 ((~v130(constB5, 1)) | v127(constB5, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1153, 852, 1034])).
% 48.49/31.46 tff(1155,plain,
% 48.49/31.46 (v127(constB5, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1154, 1150])).
% 48.49/31.46 tff(1156,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1157,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1158,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 48.49/31.46 tff(1159,plain,
% 48.49/31.46 ((~v127(constB5, 1)) | v129(constB6, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1158, 867, 1049])).
% 48.49/31.46 tff(1160,plain,
% 48.49/31.46 (v129(constB6, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1159, 1155])).
% 48.49/31.46 tff(1161,plain,
% 48.49/31.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1162,plain,
% 48.49/31.46 ((v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1))) <=> (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1163,plain,
% 48.49/31.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1162])).
% 48.49/31.46 tff(1164,plain,
% 48.49/31.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1163, 1161])).
% 48.49/31.46 tff(1165,plain,
% 48.49/31.46 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1166,plain,
% 48.49/31.46 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 48.49/31.46 tff(1167,plain,
% 48.49/31.46 (v90(constB6, 1) | (~v100(constB6))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1166, 882, 1160])).
% 48.49/31.46 tff(1168,plain,
% 48.49/31.46 (v90(constB6, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1167, 1083])).
% 48.49/31.46 tff(1169,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1170,plain,
% 48.49/31.46 (((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)) <=> ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1171,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1170])).
% 48.49/31.46 tff(1172,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1171, 1169])).
% 48.49/31.46 tff(1173,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1174,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 48.49/31.46 tff(1175,plain,
% 48.49/31.46 ((~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1174, 900, 1118])).
% 48.49/31.46 tff(1176,plain,
% 48.49/31.46 ((~v90(constB6, 1)) | v90(constB7, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1175, 1130])).
% 48.49/31.46 tff(1177,plain,
% 48.49/31.46 (v90(constB7, 1)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1176, 1168])).
% 48.49/31.46 tff(1178,plain,
% 48.49/31.46 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ((~v121(VarCurr)) | v130(VarCurr, 0)))),
% 48.49/31.46 inference(bind,[status(th)],[])).
% 48.49/31.46 tff(1179,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.46 inference(quant_intro,[status(thm)],[1178])).
% 48.49/31.46 tff(1180,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1181,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_1')).
% 48.49/31.46 tff(1182,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 48.49/31.46 tff(1183,plain,(
% 48.49/31.46 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.46 inference(skolemize,[status(sab)],[1182])).
% 48.49/31.46 tff(1184,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1183, 1179])).
% 48.49/31.46 tff(1185,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1186,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1187,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 48.49/31.46 tff(1188,plain,
% 48.49/31.46 (v130(constB5, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1187, 1184, 994])).
% 48.49/31.46 tff(1189,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1190,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1191,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 48.49/31.46 tff(1192,plain,
% 48.49/31.46 ((~v130(constB5, 0)) | v127(constB5, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1191, 515, 1034])).
% 48.49/31.46 tff(1193,plain,
% 48.49/31.46 (v127(constB5, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1192, 1188])).
% 48.49/31.46 tff(1194,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1195,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1196,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 48.49/31.46 tff(1197,plain,
% 48.49/31.46 ((~v127(constB5, 0)) | v129(constB6, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1196, 530, 1049])).
% 48.49/31.46 tff(1198,plain,
% 48.49/31.46 (v129(constB6, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1197, 1193])).
% 48.49/31.46 tff(1199,plain,
% 48.49/31.46 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1200,plain,
% 48.49/31.46 ((v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0))) <=> (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1201,plain,
% 48.49/31.46 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1200])).
% 48.49/31.46 tff(1202,plain,
% 48.49/31.46 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1201, 1199])).
% 48.49/31.46 tff(1203,plain,
% 48.49/31.46 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1204,plain,
% 48.49/31.46 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 48.49/31.46 tff(1205,plain,
% 48.49/31.46 (v90(constB6, 0) | (~v100(constB6))),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1204, 545, 1198])).
% 48.49/31.46 tff(1206,plain,
% 48.49/31.46 (v90(constB6, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1205, 1083])).
% 48.49/31.46 tff(1207,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1208,plain,
% 48.49/31.46 (((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)) <=> ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1209,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)))),
% 48.49/31.46 inference(monotonicity,[status(thm)],[1208])).
% 48.49/31.46 tff(1210,plain,
% 48.49/31.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 48.49/31.46 inference(transitivity,[status(thm)],[1209, 1207])).
% 48.49/31.46 tff(1211,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1212,plain,
% 48.49/31.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 48.49/31.46 tff(1213,plain,
% 48.49/31.46 ((~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1212, 563, 1118])).
% 48.49/31.46 tff(1214,plain,
% 48.49/31.46 ((~v90(constB6, 0)) | v90(constB7, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1213, 1130])).
% 48.49/31.46 tff(1215,plain,
% 48.49/31.46 (v90(constB7, 0)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1214, 1206])).
% 48.49/31.46 tff(1216,plain,
% 48.49/31.46 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)))),
% 48.49/31.46 inference(bind,[status(th)],[])).
% 48.49/31.46 tff(1217,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 48.49/31.46 inference(quant_intro,[status(thm)],[1216])).
% 48.49/31.46 tff(1218,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1219,plain,
% 48.49/31.46 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 2) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> (((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))))),
% 48.49/31.46 inference(bind,[status(th)],[])).
% 48.49/31.46 tff(1220,plain,
% 48.49/31.46 (![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 48.49/31.46 inference(quant_intro,[status(thm)],[1219])).
% 48.49/31.46 tff(1221,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 48.49/31.46 tff(1222,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 48.49/31.46 tff(1223,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1222, 1218])).
% 48.49/31.46 tff(1224,plain,(
% 48.49/31.46 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 48.49/31.46 inference(skolemize,[status(sab)],[1223])).
% 48.49/31.46 tff(1225,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1224, 1217])).
% 48.49/31.46 tff(1226,plain,
% 48.49/31.46 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1227,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 48.49/31.46 inference(quant_inst,[status(thm)],[])).
% 48.49/31.46 tff(1228,plain,
% 48.49/31.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7)),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 48.49/31.46 tff(1229,plain,
% 48.49/31.46 (v122(constB7)),
% 48.49/31.46 inference(unit_resolution,[status(thm)],[1228, 1225, 1215, 1177, 1139])).
% 48.49/31.46 tff(1230,plain,
% 48.49/31.46 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v116(VarCurr)) <=> ((~v122(VarCurr)) | v116(VarCurr)))),
% 48.49/31.46 inference(bind,[status(th)],[])).
% 48.49/31.46 tff(1231,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 48.49/31.46 inference(quant_intro,[status(thm)],[1230])).
% 48.49/31.46 tff(1232,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 48.49/31.46 inference(rewrite,[status(thm)],[])).
% 48.49/31.46 tff(1233,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 48.49/31.46 tff(1234,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 48.49/31.46 tff(1235,plain,(
% 48.49/31.46 ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 48.49/31.46 inference(skolemize,[status(sab)],[1234])).
% 48.49/31.46 tff(1236,plain,
% 48.49/31.46 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 48.49/31.46 inference(modus_ponens,[status(thm)],[1235, 1231])).
% 48.49/31.47 tff(1237,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB7)) | v116(constB7))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1238,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1239,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB7)) | v116(constB7)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 48.49/31.47 tff(1240,plain,
% 48.49/31.47 (v116(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1239, 1236, 1229])).
% 48.49/31.47 tff(1241,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB7)) | v115(constB7))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1242,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1243,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB7)) | v115(constB7)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 48.49/31.47 tff(1244,plain,
% 48.49/31.47 (v115(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1243, 238, 1240])).
% 48.49/31.47 tff(1245,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1246,plain,
% 48.49/31.47 (((~v115(constB7)) | v114(constB7)) <=> (v114(constB7) | (~v115(constB7)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1247,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7))))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1246])).
% 48.49/31.47 tff(1248,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1247, 1245])).
% 48.49/31.47 tff(1249,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1250,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 48.49/31.47 tff(1251,plain,
% 48.49/31.47 (v114(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1250, 252, 1244])).
% 48.49/31.47 tff(1252,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1253,plain,
% 48.49/31.47 (((~v114(constB7)) | v113(constB7)) <=> (v113(constB7) | (~v114(constB7)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1254,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7))))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1253])).
% 48.49/31.47 tff(1255,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1254, 1252])).
% 48.49/31.47 tff(1256,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1257,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 48.49/31.47 tff(1258,plain,
% 48.49/31.47 (v113(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1257, 266, 1251])).
% 48.49/31.47 tff(1259,plain,
% 48.49/31.47 (((~![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))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1260,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1261,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 48.49/31.47 tff(1262,plain,
% 48.49/31.47 (v26(constB7) | v112(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1261, 280, 1258])).
% 48.49/31.47 tff(1263,plain,
% 48.49/31.47 (v112(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1262, 70])).
% 48.49/31.47 tff(1264,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1265,plain,
% 48.49/31.47 (((~v112(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v112(constB7)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1266,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7))))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1265])).
% 48.49/31.47 tff(1267,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1266, 1264])).
% 48.49/31.47 tff(1268,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1269,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 48.49/31.47 tff(1270,plain,
% 48.49/31.47 (v108(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1269, 292, 1263])).
% 48.49/31.47 tff(1271,plain,
% 48.49/31.47 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1272,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 48.49/31.47 tff(1273,plain,
% 48.49/31.47 (nextState(constB7, constB8)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 48.49/31.47 tff(1274,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1275,plain,
% 48.49/31.47 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1276,plain,
% 48.49/31.47 (((~![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))))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1275])).
% 48.49/31.47 tff(1277,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1276, 1274])).
% 48.49/31.47 tff(1278,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1279,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1278, 1277])).
% 48.49/31.47 tff(1280,plain,
% 48.49/31.47 (v110(constB8) | (~v108(constB7))),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1279, 312, 1273])).
% 48.49/31.47 tff(1281,plain,
% 48.49/31.47 (v110(constB8)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1280, 1270])).
% 48.49/31.47 tff(1282,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1283,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1284,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 48.49/31.47 tff(1285,plain,
% 48.49/31.47 (~v104(constB8)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1284, 330, 1273, 1115])).
% 48.49/31.47 tff(1286,plain,
% 48.49/31.47 (((~![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)) | v102(constB8) | v104(constB8))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1287,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1288,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 48.49/31.47 tff(1289,plain,
% 48.49/31.47 (v102(constB8) | v104(constB8)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1288, 344, 1273])).
% 48.49/31.47 tff(1290,plain,
% 48.49/31.47 (v102(constB8)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1289, 1285])).
% 48.49/31.47 tff(1291,plain,
% 48.49/31.47 (v1(constB8) <=> v1(constB8)),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1292,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 48.49/31.47 tff(1293,plain,
% 48.49/31.47 (v1(constB8)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1292, 1291])).
% 48.49/31.47 tff(1294,plain,
% 48.49/31.47 (((~![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)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1295,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1296,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 48.49/31.47 tff(1297,plain,
% 48.49/31.47 (v101(constB8) | (~v102(constB8))),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1296, 362, 1273, 1293])).
% 48.49/31.47 tff(1298,plain,
% 48.49/31.47 (v101(constB8)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1297, 1290])).
% 48.49/31.47 tff(1299,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1300,plain,
% 48.49/31.47 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1301,plain,
% 48.49/31.47 (((~![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))))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1300])).
% 48.49/31.47 tff(1302,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1301, 1299])).
% 48.49/31.47 tff(1303,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1304,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1303, 1302])).
% 48.49/31.47 tff(1305,plain,
% 48.49/31.47 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1304, 377, 1273])).
% 48.49/31.47 tff(1306,plain,
% 48.49/31.47 (v100(constB8) | (~v110(constB8))),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1305, 1298])).
% 48.49/31.47 tff(1307,plain,
% 48.49/31.47 (v100(constB8)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1306, 1281])).
% 48.49/31.47 tff(1308,plain,
% 48.49/31.47 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ((~v122(VarCurr)) | v130(VarCurr, 2)))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1309,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1308])).
% 48.49/31.47 tff(1310,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1311,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 48.49/31.47 tff(1312,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 48.49/31.47 tff(1313,plain,(
% 48.49/31.47 ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.47 inference(skolemize,[status(sab)],[1312])).
% 48.49/31.47 tff(1314,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1313, 1309])).
% 48.49/31.47 tff(1315,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1316,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1317,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 48.49/31.47 tff(1318,plain,
% 48.49/31.47 (v130(constB7, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1317, 1314, 1229])).
% 48.49/31.47 tff(1319,plain,
% 48.49/31.47 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1320,plain,
% 48.49/31.47 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1319])).
% 48.49/31.47 tff(1321,plain,
% 48.49/31.47 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1322,plain,
% 48.49/31.47 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1323,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1322])).
% 48.49/31.47 tff(1324,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 48.49/31.47 tff(1325,plain,
% 48.49/31.47 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 48.49/31.47 tff(1326,plain,
% 48.49/31.47 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1325, 1321])).
% 48.49/31.47 tff(1327,plain,(
% 48.49/31.47 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 48.49/31.47 inference(skolemize,[status(sab)],[1326])).
% 48.49/31.47 tff(1328,plain,
% 48.49/31.47 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1327, 1320])).
% 48.49/31.47 tff(1329,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1330,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1331,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1330, 1329])).
% 48.49/31.47 tff(1332,plain,
% 48.49/31.47 (v26(constB7) | v127(constB7, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1331, 1328, 1318])).
% 48.49/31.47 tff(1333,plain,
% 48.49/31.47 (v127(constB7, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1332, 70])).
% 48.49/31.47 tff(1334,plain,
% 48.49/31.47 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1335,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1334])).
% 48.49/31.47 tff(1336,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1337,plain,
% 48.49/31.47 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1338,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1337])).
% 48.49/31.47 tff(1339,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 48.49/31.47 tff(1340,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 48.49/31.47 tff(1341,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1340, 1336])).
% 48.49/31.47 tff(1342,plain,(
% 48.49/31.47 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 48.49/31.47 inference(skolemize,[status(sab)],[1341])).
% 48.49/31.47 tff(1343,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1342, 1335])).
% 48.49/31.47 tff(1344,plain,
% 48.49/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1345,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1346,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 48.49/31.47 tff(1347,plain,
% 48.49/31.47 ((~v127(constB7, 2)) | v129(constB8, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1346, 1343, 1273])).
% 48.49/31.47 tff(1348,plain,
% 48.49/31.47 (v129(constB8, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1347, 1333])).
% 48.49/31.47 tff(1349,plain,
% 48.49/31.47 (^[VarNext: state_type] : refl((v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1350,plain,
% 48.49/31.47 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1349])).
% 48.49/31.47 tff(1351,plain,
% 48.49/31.47 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1352,plain,
% 48.49/31.47 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1353,plain,
% 48.49/31.47 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1352])).
% 48.49/31.47 tff(1354,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 48.49/31.47 tff(1355,plain,
% 48.49/31.47 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 48.49/31.47 tff(1356,plain,
% 48.49/31.47 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1355, 1351])).
% 48.49/31.47 tff(1357,plain,(
% 48.49/31.47 ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 48.49/31.47 inference(skolemize,[status(sab)],[1356])).
% 48.49/31.47 tff(1358,plain,
% 48.49/31.47 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1357, 1350])).
% 48.49/31.47 tff(1359,plain,
% 48.49/31.47 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1360,plain,
% 48.49/31.47 ((v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2))) <=> (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1361,plain,
% 48.49/31.47 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1360])).
% 48.49/31.47 tff(1362,plain,
% 48.49/31.47 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1361, 1359])).
% 48.49/31.47 tff(1363,plain,
% 48.49/31.47 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1364,plain,
% 48.49/31.47 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1363, 1362])).
% 48.49/31.47 tff(1365,plain,
% 48.49/31.47 (v90(constB8, 2) | (~v100(constB8))),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1364, 1358, 1348])).
% 48.49/31.47 tff(1366,plain,
% 48.49/31.47 (v90(constB8, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1365, 1307])).
% 48.49/31.47 tff(1367,plain,
% 48.49/31.47 ((~v1(constB9)) <=> (~v1(constB9))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1368,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 48.49/31.47 tff(1369,plain,
% 48.49/31.47 (~v1(constB9)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 48.49/31.47 tff(1370,plain,
% 48.49/31.47 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1371,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 48.49/31.47 tff(1372,plain,
% 48.49/31.47 (nextState(constB8, constB9)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 48.49/31.47 tff(1373,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1374,plain,
% 48.49/31.47 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1375,plain,
% 48.49/31.47 (((~![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))))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1374])).
% 48.49/31.47 tff(1376,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1375, 1373])).
% 48.49/31.47 tff(1377,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1378,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 48.49/31.47 tff(1379,plain,
% 48.49/31.47 (~v101(constB9)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1378, 90, 1372, 1369])).
% 48.49/31.47 tff(1380,plain,
% 48.49/31.47 (((~![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)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1381,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1382,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 48.49/31.47 tff(1383,plain,
% 48.49/31.47 (v101(constB9) | (~v100(constB9))),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1382, 107, 1372])).
% 48.49/31.47 tff(1384,plain,
% 48.49/31.47 (~v100(constB9)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1383, 1379])).
% 48.49/31.47 tff(1385,plain,
% 48.49/31.47 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1386,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1385])).
% 48.49/31.47 tff(1387,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1388,plain,
% 48.49/31.47 (^[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, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1389,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1388])).
% 48.49/31.47 tff(1390,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 48.49/31.47 tff(1391,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1390, 1389])).
% 48.49/31.47 tff(1392,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1391, 1387])).
% 48.49/31.47 tff(1393,plain,(
% 48.49/31.47 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 48.49/31.47 inference(skolemize,[status(sab)],[1392])).
% 48.49/31.47 tff(1394,plain,
% 48.49/31.47 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1393, 1386])).
% 48.49/31.47 tff(1395,plain,
% 48.49/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1396,plain,
% 48.49/31.47 (((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)) <=> ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1397,plain,
% 48.49/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1396])).
% 48.49/31.47 tff(1398,plain,
% 48.49/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1397, 1395])).
% 48.49/31.47 tff(1399,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1400,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 48.49/31.47 tff(1401,plain,
% 48.49/31.47 ((~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1400, 1394, 1372])).
% 48.49/31.47 tff(1402,plain,
% 48.49/31.47 ((~v90(constB8, 2)) | v90(constB9, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1401, 1384])).
% 48.49/31.47 tff(1403,plain,
% 48.49/31.47 (v90(constB9, 2)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1402, 1366])).
% 48.49/31.47 tff(1404,plain,
% 48.49/31.47 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 1))))),
% 48.49/31.47 inference(bind,[status(th)],[])).
% 48.49/31.47 tff(1405,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.47 inference(quant_intro,[status(thm)],[1404])).
% 48.49/31.47 tff(1406,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1407,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 48.49/31.47 tff(1408,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 48.49/31.47 tff(1409,plain,(
% 48.49/31.47 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.47 inference(skolemize,[status(sab)],[1408])).
% 48.49/31.47 tff(1410,plain,
% 48.49/31.47 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1409, 1405])).
% 48.49/31.47 tff(1411,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1412,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1413,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 48.49/31.47 tff(1414,plain,
% 48.49/31.47 (~v130(constB7, 1)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1413, 1410, 1229])).
% 48.49/31.47 tff(1415,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1416,plain,
% 48.49/31.47 ((v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1))) <=> ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1417,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)))),
% 48.49/31.47 inference(monotonicity,[status(thm)],[1416])).
% 48.49/31.47 tff(1418,plain,
% 48.49/31.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 48.49/31.47 inference(transitivity,[status(thm)],[1417, 1415])).
% 48.49/31.47 tff(1419,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1420,plain,
% 48.49/31.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 48.49/31.47 tff(1421,plain,
% 48.49/31.47 ((~v127(constB7, 1)) | v26(constB7)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1420, 408, 1414])).
% 48.49/31.47 tff(1422,plain,
% 48.49/31.47 (~v127(constB7, 1)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1421, 70])).
% 48.49/31.47 tff(1423,plain,
% 48.49/31.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1424,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 48.49/31.47 inference(quant_inst,[status(thm)],[])).
% 48.49/31.47 tff(1425,plain,
% 48.49/31.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1))),
% 48.49/31.47 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 48.49/31.47 tff(1426,plain,
% 48.49/31.47 (v127(constB7, 1) | (~v129(constB8, 1))),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1425, 438, 1273])).
% 48.49/31.47 tff(1427,plain,
% 48.49/31.47 (~v129(constB8, 1)),
% 48.49/31.47 inference(unit_resolution,[status(thm)],[1426, 1422])).
% 48.49/31.47 tff(1428,plain,
% 48.49/31.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1429,plain,
% 48.49/31.47 (((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1)) <=> ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 48.49/31.47 inference(rewrite,[status(thm)],[])).
% 48.49/31.47 tff(1430,plain,
% 48.49/31.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1429])).
% 48.49/31.48 tff(1431,plain,
% 48.49/31.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1430, 1428])).
% 48.49/31.48 tff(1432,plain,
% 48.49/31.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1433,plain,
% 48.49/31.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 48.49/31.48 tff(1434,plain,
% 48.49/31.48 ((~v90(constB8, 1)) | (~v100(constB8))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1433, 453, 1427])).
% 48.49/31.48 tff(1435,plain,
% 48.49/31.48 (~v90(constB8, 1)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1434, 1307])).
% 48.49/31.48 tff(1436,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1437,plain,
% 48.49/31.48 (((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))) <=> (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1438,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1437])).
% 48.49/31.48 tff(1439,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1438, 1436])).
% 48.49/31.48 tff(1440,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1441,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 48.49/31.48 tff(1442,plain,
% 48.49/31.48 (v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1441, 143, 1372])).
% 48.49/31.48 tff(1443,plain,
% 48.49/31.48 (v90(constB8, 1) | (~v90(constB9, 1))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1442, 1384])).
% 48.49/31.48 tff(1444,plain,
% 48.49/31.48 (~v90(constB9, 1)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1443, 1435])).
% 48.49/31.48 tff(1445,plain,
% 48.49/31.48 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 0))))),
% 48.49/31.48 inference(bind,[status(th)],[])).
% 48.49/31.48 tff(1446,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.48 inference(quant_intro,[status(thm)],[1445])).
% 48.49/31.48 tff(1447,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1448,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 48.49/31.48 tff(1449,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 48.49/31.48 tff(1450,plain,(
% 48.49/31.48 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.48 inference(skolemize,[status(sab)],[1449])).
% 48.49/31.48 tff(1451,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1450, 1446])).
% 48.49/31.48 tff(1452,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1453,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1454,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1453, 1452])).
% 48.49/31.48 tff(1455,plain,
% 48.49/31.48 (~v130(constB7, 0)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1454, 1451, 1229])).
% 48.49/31.48 tff(1456,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1457,plain,
% 48.49/31.48 ((v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0))) <=> ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1458,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1457])).
% 48.49/31.48 tff(1459,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1458, 1456])).
% 48.49/31.48 tff(1460,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1461,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1460, 1459])).
% 48.49/31.48 tff(1462,plain,
% 48.49/31.48 ((~v127(constB7, 0)) | v26(constB7)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1461, 930, 1455])).
% 48.49/31.48 tff(1463,plain,
% 48.49/31.48 (~v127(constB7, 0)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1462, 70])).
% 48.49/31.48 tff(1464,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1465,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1466,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 48.49/31.48 tff(1467,plain,
% 48.49/31.48 (v127(constB7, 0) | (~v129(constB8, 0))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1466, 948, 1273])).
% 48.49/31.48 tff(1468,plain,
% 48.49/31.48 (~v129(constB8, 0)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1467, 1463])).
% 48.49/31.48 tff(1469,plain,
% 48.49/31.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1470,plain,
% 48.49/31.48 (((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0)) <=> ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1471,plain,
% 48.49/31.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1470])).
% 48.49/31.48 tff(1472,plain,
% 48.49/31.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1471, 1469])).
% 48.49/31.48 tff(1473,plain,
% 48.49/31.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1474,plain,
% 48.49/31.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1473, 1472])).
% 48.49/31.48 tff(1475,plain,
% 48.49/31.48 ((~v90(constB8, 0)) | (~v100(constB8))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1474, 963, 1468])).
% 48.49/31.48 tff(1476,plain,
% 48.49/31.48 (~v90(constB8, 0)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1475, 1307])).
% 48.49/31.48 tff(1477,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1478,plain,
% 48.49/31.48 (((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))) <=> (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1479,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1478])).
% 48.49/31.48 tff(1480,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1479, 1477])).
% 48.49/31.48 tff(1481,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1482,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1481, 1480])).
% 48.49/31.48 tff(1483,plain,
% 48.49/31.48 (v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1482, 164, 1372])).
% 48.49/31.48 tff(1484,plain,
% 48.49/31.48 (v90(constB8, 0) | (~v90(constB9, 0))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1483, 1384])).
% 48.49/31.48 tff(1485,plain,
% 48.49/31.48 (~v90(constB9, 0)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1484, 1476])).
% 48.49/31.48 tff(1486,plain,
% 48.49/31.48 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)))),
% 48.49/31.48 inference(bind,[status(th)],[])).
% 48.49/31.48 tff(1487,plain,
% 48.49/31.48 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 48.49/31.48 inference(quant_intro,[status(thm)],[1486])).
% 48.49/31.48 tff(1488,plain,
% 48.49/31.48 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1489,plain,
% 48.49/31.48 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))))),
% 48.49/31.48 inference(bind,[status(th)],[])).
% 48.49/31.48 tff(1490,plain,
% 48.49/31.48 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 48.49/31.48 inference(quant_intro,[status(thm)],[1489])).
% 48.49/31.48 tff(1491,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 48.49/31.48 tff(1492,plain,
% 48.49/31.48 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 48.49/31.48 tff(1493,plain,
% 48.49/31.48 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1492, 1488])).
% 48.49/31.48 tff(1494,plain,(
% 48.49/31.48 ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 48.49/31.48 inference(skolemize,[status(sab)],[1493])).
% 48.49/31.48 tff(1495,plain,
% 48.49/31.48 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1494, 1487])).
% 48.49/31.48 tff(1496,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1497,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1498,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 48.49/31.48 tff(1499,plain,
% 48.49/31.48 (v123(constB9)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1498, 1495, 1485, 1444, 1403])).
% 48.49/31.48 tff(1500,plain,
% 48.49/31.48 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v115(VarCurr)) <=> ((~v123(VarCurr)) | v115(VarCurr)))),
% 48.49/31.48 inference(bind,[status(th)],[])).
% 48.49/31.48 tff(1501,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 48.49/31.48 inference(quant_intro,[status(thm)],[1500])).
% 48.49/31.48 tff(1502,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1503,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 48.49/31.48 tff(1504,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 48.49/31.48 tff(1505,plain,(
% 48.49/31.48 ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 48.49/31.48 inference(skolemize,[status(sab)],[1504])).
% 48.49/31.48 tff(1506,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1505, 1501])).
% 48.49/31.48 tff(1507,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1508,plain,
% 48.49/31.48 (((~v123(constB9)) | v115(constB9)) <=> (v115(constB9) | (~v123(constB9)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1509,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1508])).
% 48.49/31.48 tff(1510,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1509, 1507])).
% 48.49/31.48 tff(1511,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1512,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1511, 1510])).
% 48.49/31.48 tff(1513,plain,
% 48.49/31.48 (v115(constB9)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1512, 1506, 1499])).
% 48.49/31.48 tff(1514,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1515,plain,
% 48.49/31.48 (((~v115(constB9)) | v114(constB9)) <=> (v114(constB9) | (~v115(constB9)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1516,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1515])).
% 48.49/31.48 tff(1517,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1516, 1514])).
% 48.49/31.48 tff(1518,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1519,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 48.49/31.48 tff(1520,plain,
% 48.49/31.48 (v114(constB9)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1519, 252, 1513])).
% 48.49/31.48 tff(1521,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB9)) | v113(constB9))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1522,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1523,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB9)) | v113(constB9)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 48.49/31.48 tff(1524,plain,
% 48.49/31.48 (v113(constB9)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1523, 266, 1520])).
% 48.49/31.48 tff(1525,plain,
% 48.49/31.48 (((~![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))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1526,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1527,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 48.49/31.48 tff(1528,plain,
% 48.49/31.48 (v26(constB9) | v112(constB9)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1527, 280, 1524])).
% 48.49/31.48 tff(1529,plain,
% 48.49/31.48 (v112(constB9)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1528, 66])).
% 48.49/31.48 tff(1530,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1531,plain,
% 48.49/31.48 (((~v112(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v112(constB9)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1532,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1531])).
% 48.49/31.48 tff(1533,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1532, 1530])).
% 48.49/31.48 tff(1534,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1535,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 48.49/31.48 tff(1536,plain,
% 48.49/31.48 (v108(constB9)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1535, 292, 1529])).
% 48.49/31.48 tff(1537,plain,
% 48.49/31.48 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1538,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 48.49/31.48 tff(1539,plain,
% 48.49/31.48 (nextState(constB9, constB10)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 48.49/31.48 tff(1540,plain,
% 48.49/31.48 (((~![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)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1541,plain,
% 48.49/31.48 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1542,plain,
% 48.49/31.48 (((~![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))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1541])).
% 48.49/31.48 tff(1543,plain,
% 48.49/31.48 (((~![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)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1542, 1540])).
% 48.49/31.48 tff(1544,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1545,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 48.49/31.48 tff(1546,plain,
% 48.49/31.48 (v110(constB10) | (~v108(constB9))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1545, 312, 1539])).
% 48.49/31.48 tff(1547,plain,
% 48.49/31.48 (v110(constB10)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1546, 1536])).
% 48.49/31.48 tff(1548,plain,
% 48.49/31.48 (((~![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)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1549,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1550,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 48.49/31.48 tff(1551,plain,
% 48.49/31.48 (~v104(constB10)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1550, 330, 1539, 1369])).
% 48.49/31.48 tff(1552,plain,
% 48.49/31.48 (((~![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)) | v102(constB10) | v104(constB10))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1553,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1554,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1553, 1552])).
% 48.49/31.48 tff(1555,plain,
% 48.49/31.48 (v102(constB10) | v104(constB10)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1554, 344, 1539])).
% 48.49/31.48 tff(1556,plain,
% 48.49/31.48 (v102(constB10)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1555, 1551])).
% 48.49/31.48 tff(1557,plain,
% 48.49/31.48 (v1(constB10) <=> v1(constB10)),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1558,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 48.49/31.48 tff(1559,plain,
% 48.49/31.48 (v1(constB10)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 48.49/31.48 tff(1560,plain,
% 48.49/31.48 (((~![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)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1561,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1562,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 48.49/31.48 tff(1563,plain,
% 48.49/31.48 (v101(constB10) | (~v102(constB10))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1562, 362, 1539, 1559])).
% 48.49/31.48 tff(1564,plain,
% 48.49/31.48 (v101(constB10)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1563, 1556])).
% 48.49/31.48 tff(1565,plain,
% 48.49/31.48 (((~![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)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1566,plain,
% 48.49/31.48 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1567,plain,
% 48.49/31.48 (((~![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))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1566])).
% 48.49/31.48 tff(1568,plain,
% 48.49/31.48 (((~![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)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1567, 1565])).
% 48.49/31.48 tff(1569,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1570,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 48.49/31.48 tff(1571,plain,
% 48.49/31.48 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1570, 377, 1539])).
% 48.49/31.48 tff(1572,plain,
% 48.49/31.48 (v100(constB10) | (~v110(constB10))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1571, 1564])).
% 48.49/31.48 tff(1573,plain,
% 48.49/31.48 (v100(constB10)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1572, 1547])).
% 48.49/31.48 tff(1574,plain,
% 48.49/31.48 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ((~v123(VarCurr)) | v130(VarCurr, 2)))),
% 48.49/31.48 inference(bind,[status(th)],[])).
% 48.49/31.48 tff(1575,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.48 inference(quant_intro,[status(thm)],[1574])).
% 48.49/31.48 tff(1576,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1577,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 48.49/31.48 tff(1578,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1577, 1576])).
% 48.49/31.48 tff(1579,plain,(
% 48.49/31.48 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.48 inference(skolemize,[status(sab)],[1578])).
% 48.49/31.48 tff(1580,plain,
% 48.49/31.48 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1579, 1575])).
% 48.49/31.48 tff(1581,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1582,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1583,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 48.49/31.48 tff(1584,plain,
% 48.49/31.48 (v130(constB9, 2)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1583, 1580, 1499])).
% 48.49/31.48 tff(1585,plain,
% 48.49/31.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1586,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1587,plain,
% 48.49/31.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1586, 1585])).
% 48.49/31.48 tff(1588,plain,
% 48.49/31.48 (v26(constB9) | v127(constB9, 2)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1587, 1328, 1584])).
% 48.49/31.48 tff(1589,plain,
% 48.49/31.48 (v127(constB9, 2)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1588, 66])).
% 48.49/31.48 tff(1590,plain,
% 48.49/31.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1591,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1592,plain,
% 48.49/31.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 48.49/31.48 tff(1593,plain,
% 48.49/31.48 ((~v127(constB9, 2)) | v129(constB10, 2)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1592, 1343, 1539])).
% 48.49/31.48 tff(1594,plain,
% 48.49/31.48 (v129(constB10, 2)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1593, 1589])).
% 48.49/31.48 tff(1595,plain,
% 48.49/31.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1596,plain,
% 48.49/31.48 ((v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2))) <=> (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1597,plain,
% 48.49/31.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))))),
% 48.49/31.48 inference(monotonicity,[status(thm)],[1596])).
% 48.49/31.48 tff(1598,plain,
% 48.49/31.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 48.49/31.48 inference(transitivity,[status(thm)],[1597, 1595])).
% 48.49/31.48 tff(1599,plain,
% 48.49/31.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))),
% 48.49/31.48 inference(quant_inst,[status(thm)],[])).
% 48.49/31.48 tff(1600,plain,
% 48.49/31.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 48.49/31.48 tff(1601,plain,
% 48.49/31.48 (v90(constB10, 2) | (~v100(constB10))),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1600, 1358, 1594])).
% 48.49/31.48 tff(1602,plain,
% 48.49/31.48 (v90(constB10, 2)),
% 48.49/31.48 inference(unit_resolution,[status(thm)],[1601, 1573])).
% 48.49/31.48 tff(1603,plain,
% 48.49/31.48 ((~v1(constB11)) <=> (~v1(constB11))),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1604,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 48.49/31.48 tff(1605,plain,
% 48.49/31.48 (~v1(constB11)),
% 48.49/31.48 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 48.49/31.48 tff(1606,plain,
% 48.49/31.48 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 48.49/31.48 inference(rewrite,[status(thm)],[])).
% 48.49/31.48 tff(1607,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 48.49/31.48 tff(1608,plain,
% 48.49/31.49 (nextState(constB10, constB11)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 48.49/31.49 tff(1609,plain,
% 48.49/31.49 (((~![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)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1610,plain,
% 48.49/31.49 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1611,plain,
% 48.49/31.49 (((~![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))))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1610])).
% 48.49/31.49 tff(1612,plain,
% 48.49/31.49 (((~![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)))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1611, 1609])).
% 48.49/31.49 tff(1613,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1614,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 48.49/31.49 tff(1615,plain,
% 48.49/31.49 (~v101(constB11)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1614, 90, 1608, 1605])).
% 48.49/31.49 tff(1616,plain,
% 48.49/31.49 (((~![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)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1617,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1618,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1617, 1616])).
% 48.49/31.49 tff(1619,plain,
% 48.49/31.49 (v101(constB11) | (~v100(constB11))),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1618, 107, 1608])).
% 48.49/31.49 tff(1620,plain,
% 48.49/31.49 (~v100(constB11)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1619, 1615])).
% 48.49/31.49 tff(1621,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1622,plain,
% 48.49/31.49 (((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)) <=> ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1623,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1622])).
% 48.49/31.49 tff(1624,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1623, 1621])).
% 48.49/31.49 tff(1625,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1626,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 48.49/31.49 tff(1627,plain,
% 48.49/31.49 ((~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1626, 1394, 1608])).
% 48.49/31.49 tff(1628,plain,
% 48.49/31.49 ((~v90(constB10, 2)) | v90(constB11, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1627, 1620])).
% 48.49/31.49 tff(1629,plain,
% 48.49/31.49 (v90(constB11, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1628, 1602])).
% 48.49/31.49 tff(1630,plain,
% 48.49/31.49 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, 1))))),
% 48.49/31.49 inference(bind,[status(th)],[])).
% 48.49/31.49 tff(1631,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.49 inference(quant_intro,[status(thm)],[1630])).
% 48.49/31.49 tff(1632,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1633,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 48.49/31.49 tff(1634,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 48.49/31.49 tff(1635,plain,(
% 48.49/31.49 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.49 inference(skolemize,[status(sab)],[1634])).
% 48.49/31.49 tff(1636,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1635, 1631])).
% 48.49/31.49 tff(1637,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1638,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1639,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 48.49/31.49 tff(1640,plain,
% 48.49/31.49 (~v130(constB9, 1)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1639, 1636, 1499])).
% 48.49/31.49 tff(1641,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1642,plain,
% 48.49/31.49 ((v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1))) <=> ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1643,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1642])).
% 48.49/31.49 tff(1644,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1643, 1641])).
% 48.49/31.49 tff(1645,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1646,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 48.49/31.49 tff(1647,plain,
% 48.49/31.49 ((~v127(constB9, 1)) | v26(constB9)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1646, 408, 1640])).
% 48.49/31.49 tff(1648,plain,
% 48.49/31.49 (~v127(constB9, 1)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1647, 66])).
% 48.49/31.49 tff(1649,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1650,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1651,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 48.49/31.49 tff(1652,plain,
% 48.49/31.49 (v127(constB9, 1) | (~v129(constB10, 1))),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1651, 438, 1539])).
% 48.49/31.49 tff(1653,plain,
% 48.49/31.49 (~v129(constB10, 1)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1652, 1648])).
% 48.49/31.49 tff(1654,plain,
% 48.49/31.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1655,plain,
% 48.49/31.49 (((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1)) <=> ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1656,plain,
% 48.49/31.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1655])).
% 48.49/31.49 tff(1657,plain,
% 48.49/31.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1656, 1654])).
% 48.49/31.49 tff(1658,plain,
% 48.49/31.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1659,plain,
% 48.49/31.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 48.49/31.49 tff(1660,plain,
% 48.49/31.49 ((~v90(constB10, 1)) | (~v100(constB10))),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1659, 453, 1653])).
% 48.49/31.49 tff(1661,plain,
% 48.49/31.49 (~v90(constB10, 1)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1660, 1573])).
% 48.49/31.49 tff(1662,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1663,plain,
% 48.49/31.49 (((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))) <=> (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1664,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1663])).
% 48.49/31.49 tff(1665,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1664, 1662])).
% 48.49/31.49 tff(1666,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1667,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 48.49/31.49 tff(1668,plain,
% 48.49/31.49 (v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1667, 143, 1608])).
% 48.49/31.49 tff(1669,plain,
% 48.49/31.49 (v90(constB10, 1) | (~v90(constB11, 1))),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1668, 1620])).
% 48.49/31.49 tff(1670,plain,
% 48.49/31.49 (~v90(constB11, 1)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1669, 1661])).
% 48.49/31.49 tff(1671,plain,
% 48.49/31.49 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ((~v123(VarCurr)) | v130(VarCurr, 0)))),
% 48.49/31.49 inference(bind,[status(th)],[])).
% 48.49/31.49 tff(1672,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.49 inference(quant_intro,[status(thm)],[1671])).
% 48.49/31.49 tff(1673,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1674,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 48.49/31.49 tff(1675,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 48.49/31.49 tff(1676,plain,(
% 48.49/31.49 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.49 inference(skolemize,[status(sab)],[1675])).
% 48.49/31.49 tff(1677,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1676, 1672])).
% 48.49/31.49 tff(1678,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1679,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1680,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 48.49/31.49 tff(1681,plain,
% 48.49/31.49 (v130(constB9, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1680, 1677, 1499])).
% 48.49/31.49 tff(1682,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1683,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1684,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 48.49/31.49 tff(1685,plain,
% 48.49/31.49 (v26(constB9) | v127(constB9, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1684, 515, 1681])).
% 48.49/31.49 tff(1686,plain,
% 48.49/31.49 (v127(constB9, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1685, 66])).
% 48.49/31.49 tff(1687,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1688,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1689,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 48.49/31.49 tff(1690,plain,
% 48.49/31.49 ((~v127(constB9, 0)) | v129(constB10, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1689, 530, 1539])).
% 48.49/31.49 tff(1691,plain,
% 48.49/31.49 (v129(constB10, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1690, 1686])).
% 48.49/31.49 tff(1692,plain,
% 48.49/31.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1693,plain,
% 48.49/31.49 ((v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0))) <=> (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1694,plain,
% 48.49/31.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1693])).
% 48.49/31.49 tff(1695,plain,
% 48.49/31.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1694, 1692])).
% 48.49/31.49 tff(1696,plain,
% 48.49/31.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1697,plain,
% 48.49/31.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 48.49/31.49 tff(1698,plain,
% 48.49/31.49 (v90(constB10, 0) | (~v100(constB10))),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1697, 545, 1691])).
% 48.49/31.49 tff(1699,plain,
% 48.49/31.49 (v90(constB10, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1698, 1573])).
% 48.49/31.49 tff(1700,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1701,plain,
% 48.49/31.49 (((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)) <=> ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1702,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1701])).
% 48.49/31.49 tff(1703,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1702, 1700])).
% 48.49/31.49 tff(1704,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1705,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 48.49/31.49 tff(1706,plain,
% 48.49/31.49 ((~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1705, 563, 1608])).
% 48.49/31.49 tff(1707,plain,
% 48.49/31.49 ((~v90(constB10, 0)) | v90(constB11, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1706, 1620])).
% 48.49/31.49 tff(1708,plain,
% 48.49/31.49 (v90(constB11, 0)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1707, 1699])).
% 48.49/31.49 tff(1709,plain,
% 48.49/31.49 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)))),
% 48.49/31.49 inference(bind,[status(th)],[])).
% 48.49/31.49 tff(1710,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 48.49/31.49 inference(quant_intro,[status(thm)],[1709])).
% 48.49/31.49 tff(1711,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1712,plain,
% 48.49/31.49 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 1) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))))),
% 48.49/31.49 inference(bind,[status(th)],[])).
% 48.49/31.49 tff(1713,plain,
% 48.49/31.49 (![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 48.49/31.49 inference(quant_intro,[status(thm)],[1712])).
% 48.49/31.49 tff(1714,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 48.49/31.49 tff(1715,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 48.49/31.49 tff(1716,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1715, 1711])).
% 48.49/31.49 tff(1717,plain,(
% 48.49/31.49 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 48.49/31.49 inference(skolemize,[status(sab)],[1716])).
% 48.49/31.49 tff(1718,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1717, 1710])).
% 48.49/31.49 tff(1719,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1720,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1721,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 48.49/31.49 tff(1722,plain,
% 48.49/31.49 (v124(constB11)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1721, 1718, 1708, 1670, 1629])).
% 48.49/31.49 tff(1723,plain,
% 48.49/31.49 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ((~v124(VarCurr)) | v130(VarCurr, 2)))),
% 48.49/31.49 inference(bind,[status(th)],[])).
% 48.49/31.49 tff(1724,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.49 inference(quant_intro,[status(thm)],[1723])).
% 48.49/31.49 tff(1725,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1726,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 48.49/31.49 tff(1727,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 48.49/31.49 tff(1728,plain,(
% 48.49/31.49 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.49 inference(skolemize,[status(sab)],[1727])).
% 48.49/31.49 tff(1729,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1728, 1724])).
% 48.49/31.49 tff(1730,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1731,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1732,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 48.49/31.49 tff(1733,plain,
% 48.49/31.49 (v130(constB11, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1732, 1729, 1722])).
% 48.49/31.49 tff(1734,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1735,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1736,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 48.49/31.49 tff(1737,plain,
% 48.49/31.49 (v26(constB11) | v127(constB11, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1736, 1328, 1733])).
% 48.49/31.49 tff(1738,plain,
% 48.49/31.49 (v127(constB11, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1737, 62])).
% 48.49/31.49 tff(1739,plain,
% 48.49/31.49 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1740,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 48.49/31.49 tff(1741,plain,
% 48.49/31.49 (nextState(constB11, constB12)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1740, 1739])).
% 48.49/31.49 tff(1742,plain,
% 48.49/31.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1743,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1744,plain,
% 48.49/31.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2)),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 48.49/31.49 tff(1745,plain,
% 48.49/31.49 ((~v127(constB11, 2)) | v129(constB12, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1744, 1343, 1741])).
% 48.49/31.49 tff(1746,plain,
% 48.49/31.49 (v129(constB12, 2)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1745, 1738])).
% 48.49/31.49 tff(1747,assumption,(~v108(constB11)), introduced(assumption)).
% 48.49/31.49 tff(1748,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1749,plain,
% 48.49/31.49 (((~v112(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v112(constB11)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1750,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11))))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1749])).
% 48.49/31.49 tff(1751,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1750, 1748])).
% 48.49/31.49 tff(1752,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1753,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 48.49/31.49 tff(1754,plain,
% 48.49/31.49 (~v112(constB11)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1753, 292, 1747])).
% 48.49/31.49 tff(1755,plain,
% 48.49/31.49 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v108(VarCurr)) <=> ((~v26(VarCurr)) | v108(VarCurr)))),
% 48.49/31.49 inference(bind,[status(th)],[])).
% 48.49/31.49 tff(1756,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 48.49/31.49 inference(quant_intro,[status(thm)],[1755])).
% 48.49/31.49 tff(1757,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1758,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 48.49/31.49 tff(1759,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1758, 1757])).
% 48.49/31.49 tff(1760,plain,(
% 48.49/31.49 ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 48.49/31.49 inference(skolemize,[status(sab)],[1759])).
% 48.49/31.49 tff(1761,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1760, 1756])).
% 48.49/31.49 tff(1762,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v26(constB11)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v26(constB11)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1763,plain,
% 48.49/31.49 (((~v26(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v26(constB11)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1764,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v26(constB11))))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1763])).
% 48.49/31.49 tff(1765,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v26(constB11)))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1764, 1762])).
% 48.49/31.49 tff(1766,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB11)) | v108(constB11))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1767,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v26(constB11))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 48.49/31.49 tff(1768,plain,
% 48.49/31.49 (~v26(constB11)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1767, 1761, 1747])).
% 48.49/31.49 tff(1769,plain,
% 48.49/31.49 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v114(VarCurr)) <=> ((~v124(VarCurr)) | v114(VarCurr)))),
% 48.49/31.49 inference(bind,[status(th)],[])).
% 48.49/31.49 tff(1770,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 48.49/31.49 inference(quant_intro,[status(thm)],[1769])).
% 48.49/31.49 tff(1771,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1772,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 48.49/31.49 tff(1773,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 48.49/31.49 tff(1774,plain,(
% 48.49/31.49 ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 48.49/31.49 inference(skolemize,[status(sab)],[1773])).
% 48.49/31.49 tff(1775,plain,
% 48.49/31.49 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1774, 1770])).
% 48.49/31.49 tff(1776,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v124(constB11)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v124(constB11)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1777,plain,
% 48.49/31.49 (((~v124(constB11)) | v114(constB11)) <=> (v114(constB11) | (~v124(constB11)))),
% 48.49/31.49 inference(rewrite,[status(thm)],[])).
% 48.49/31.49 tff(1778,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB11) | (~v124(constB11))))),
% 48.49/31.49 inference(monotonicity,[status(thm)],[1777])).
% 48.49/31.49 tff(1779,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v124(constB11)))),
% 48.49/31.49 inference(transitivity,[status(thm)],[1778, 1776])).
% 48.49/31.49 tff(1780,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))),
% 48.49/31.49 inference(quant_inst,[status(thm)],[])).
% 48.49/31.49 tff(1781,plain,
% 48.49/31.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB11) | (~v124(constB11))),
% 48.49/31.49 inference(modus_ponens,[status(thm)],[1780, 1779])).
% 48.49/31.49 tff(1782,plain,
% 48.49/31.49 (v114(constB11)),
% 48.49/31.49 inference(unit_resolution,[status(thm)],[1781, 1775, 1722])).
% 48.49/31.49 tff(1783,plain,
% 48.49/31.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1784,plain,
% 48.49/31.50 (((~v114(constB11)) | v113(constB11)) <=> (v113(constB11) | (~v114(constB11)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1785,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1784])).
% 48.49/31.50 tff(1786,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1785, 1783])).
% 48.49/31.50 tff(1787,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1788,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 48.49/31.50 tff(1789,plain,
% 48.49/31.50 (v113(constB11)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1788, 266, 1782])).
% 48.49/31.50 tff(1790,plain,
% 48.49/31.50 (((~![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))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1791,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1792,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 48.49/31.50 tff(1793,plain,
% 48.49/31.50 (v26(constB11) | v112(constB11)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1792, 280, 1789])).
% 48.49/31.50 tff(1794,plain,
% 48.49/31.50 ($false),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1793, 1768, 1754])).
% 48.49/31.50 tff(1795,plain,(v108(constB11)), inference(lemma,lemma(discharge,[]))).
% 48.49/31.50 tff(1796,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1797,plain,
% 48.49/31.50 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1798,plain,
% 48.49/31.50 (((~![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))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1797])).
% 48.49/31.50 tff(1799,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1798, 1796])).
% 48.49/31.50 tff(1800,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1801,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1800, 1799])).
% 48.49/31.50 tff(1802,plain,
% 48.49/31.50 (v110(constB12) | (~v108(constB11))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1801, 312, 1741])).
% 48.49/31.50 tff(1803,plain,
% 48.49/31.50 (v110(constB12)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1802, 1795])).
% 48.49/31.50 tff(1804,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1805,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1806,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 48.49/31.50 tff(1807,plain,
% 48.49/31.50 (~v104(constB12)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1806, 330, 1741, 1605])).
% 48.49/31.50 tff(1808,plain,
% 48.49/31.50 (((~![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)) | v102(constB12) | v104(constB12))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1809,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1810,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 48.49/31.50 tff(1811,plain,
% 48.49/31.50 (v102(constB12) | v104(constB12)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1810, 344, 1741])).
% 48.49/31.50 tff(1812,plain,
% 48.49/31.50 (v102(constB12)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1811, 1807])).
% 48.49/31.50 tff(1813,plain,
% 48.49/31.50 (v1(constB12) <=> v1(constB12)),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1814,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 48.49/31.50 tff(1815,plain,
% 48.49/31.50 (v1(constB12)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 48.49/31.50 tff(1816,plain,
% 48.49/31.50 (((~![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)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1817,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1818,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 48.49/31.50 tff(1819,plain,
% 48.49/31.50 (v101(constB12) | (~v102(constB12))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1818, 362, 1741, 1815])).
% 48.49/31.50 tff(1820,plain,
% 48.49/31.50 (v101(constB12)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1819, 1812])).
% 48.49/31.50 tff(1821,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1822,plain,
% 48.49/31.50 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1823,plain,
% 48.49/31.50 (((~![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))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1822])).
% 48.49/31.50 tff(1824,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1823, 1821])).
% 48.49/31.50 tff(1825,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1826,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1825, 1824])).
% 48.49/31.50 tff(1827,plain,
% 48.49/31.50 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1826, 377, 1741])).
% 48.49/31.50 tff(1828,plain,
% 48.49/31.50 (v100(constB12) | (~v110(constB12))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1827, 1820])).
% 48.49/31.50 tff(1829,plain,
% 48.49/31.50 (v100(constB12)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1828, 1803])).
% 48.49/31.50 tff(1830,plain,
% 48.49/31.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1831,plain,
% 48.49/31.50 ((v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2))) <=> (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1832,plain,
% 48.49/31.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1831])).
% 48.49/31.50 tff(1833,plain,
% 48.49/31.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1832, 1830])).
% 48.49/31.50 tff(1834,plain,
% 48.49/31.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1835,plain,
% 48.49/31.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 48.49/31.50 tff(1836,plain,
% 48.49/31.50 (v90(constB12, 2) | (~v129(constB12, 2))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1835, 1358, 1829])).
% 48.49/31.50 tff(1837,plain,
% 48.49/31.50 (v90(constB12, 2)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1836, 1746])).
% 48.49/31.50 tff(1838,plain,
% 48.49/31.50 ((~v1(constB13)) <=> (~v1(constB13))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1839,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 48.49/31.50 tff(1840,plain,
% 48.49/31.50 (~v1(constB13)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 48.49/31.50 tff(1841,plain,
% 48.49/31.50 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1842,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 48.49/31.50 tff(1843,plain,
% 48.49/31.50 (nextState(constB12, constB13)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 48.49/31.50 tff(1844,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1845,plain,
% 48.49/31.50 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1846,plain,
% 48.49/31.50 (((~![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))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1845])).
% 48.49/31.50 tff(1847,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1846, 1844])).
% 48.49/31.50 tff(1848,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1849,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 48.49/31.50 tff(1850,plain,
% 48.49/31.50 (~v101(constB13)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1849, 90, 1843, 1840])).
% 48.49/31.50 tff(1851,plain,
% 48.49/31.50 (((~![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)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1852,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1853,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 48.49/31.50 tff(1854,plain,
% 48.49/31.50 (v101(constB13) | (~v100(constB13))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1853, 107, 1843])).
% 48.49/31.50 tff(1855,plain,
% 48.49/31.50 (~v100(constB13)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1854, 1850])).
% 48.49/31.50 tff(1856,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1857,plain,
% 48.49/31.50 (((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)) <=> ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1858,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1857])).
% 48.49/31.50 tff(1859,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1858, 1856])).
% 48.49/31.50 tff(1860,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1861,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1860, 1859])).
% 48.49/31.50 tff(1862,plain,
% 48.49/31.50 ((~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1861, 1394, 1843])).
% 48.49/31.50 tff(1863,plain,
% 48.49/31.50 ((~v90(constB12, 2)) | v90(constB13, 2)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1862, 1855])).
% 48.49/31.50 tff(1864,plain,
% 48.49/31.50 (v90(constB13, 2)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1863, 1837])).
% 48.49/31.50 tff(1865,plain,
% 48.49/31.50 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ((~v124(VarCurr)) | v130(VarCurr, 1)))),
% 48.49/31.50 inference(bind,[status(th)],[])).
% 48.49/31.50 tff(1866,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.50 inference(quant_intro,[status(thm)],[1865])).
% 48.49/31.50 tff(1867,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1868,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 48.49/31.50 tff(1869,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 48.49/31.50 tff(1870,plain,(
% 48.49/31.50 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.50 inference(skolemize,[status(sab)],[1869])).
% 48.49/31.50 tff(1871,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1870, 1866])).
% 48.49/31.50 tff(1872,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1873,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1874,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 48.49/31.50 tff(1875,plain,
% 48.49/31.50 (v130(constB11, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1874, 1871, 1722])).
% 48.49/31.50 tff(1876,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1877,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1878,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 48.49/31.50 tff(1879,plain,
% 48.49/31.50 (v26(constB11) | v127(constB11, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1878, 852, 1875])).
% 48.49/31.50 tff(1880,plain,
% 48.49/31.50 (v127(constB11, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1879, 62])).
% 48.49/31.50 tff(1881,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1882,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1883,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 48.49/31.50 tff(1884,plain,
% 48.49/31.50 ((~v127(constB11, 1)) | v129(constB12, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1883, 867, 1741])).
% 48.49/31.50 tff(1885,plain,
% 48.49/31.50 (v129(constB12, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1884, 1880])).
% 48.49/31.50 tff(1886,plain,
% 48.49/31.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1887,plain,
% 48.49/31.50 ((v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1))) <=> (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1888,plain,
% 48.49/31.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1887])).
% 48.49/31.50 tff(1889,plain,
% 48.49/31.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1888, 1886])).
% 48.49/31.50 tff(1890,plain,
% 48.49/31.50 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1891,plain,
% 48.49/31.50 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 48.49/31.50 tff(1892,plain,
% 48.49/31.50 (v90(constB12, 1) | (~v129(constB12, 1))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1891, 882, 1829])).
% 48.49/31.50 tff(1893,plain,
% 48.49/31.50 (v90(constB12, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1892, 1885])).
% 48.49/31.50 tff(1894,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1895,plain,
% 48.49/31.50 (((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)) <=> ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1896,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1895])).
% 48.49/31.50 tff(1897,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1896, 1894])).
% 48.49/31.50 tff(1898,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1899,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1898, 1897])).
% 48.49/31.50 tff(1900,plain,
% 48.49/31.50 ((~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1899, 900, 1843])).
% 48.49/31.50 tff(1901,plain,
% 48.49/31.50 ((~v90(constB12, 1)) | v90(constB13, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1900, 1855])).
% 48.49/31.50 tff(1902,plain,
% 48.49/31.50 (v90(constB13, 1)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1901, 1893])).
% 48.49/31.50 tff(1903,plain,
% 48.49/31.50 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, 0))))),
% 48.49/31.50 inference(bind,[status(th)],[])).
% 48.49/31.50 tff(1904,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.50 inference(quant_intro,[status(thm)],[1903])).
% 48.49/31.50 tff(1905,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1906,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 48.49/31.50 tff(1907,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 48.49/31.50 tff(1908,plain,(
% 48.49/31.50 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.50 inference(skolemize,[status(sab)],[1907])).
% 48.49/31.50 tff(1909,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1908, 1904])).
% 48.49/31.50 tff(1910,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1911,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1912,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 48.49/31.50 tff(1913,plain,
% 48.49/31.50 (~v130(constB11, 0)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1912, 1909, 1722])).
% 48.49/31.50 tff(1914,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1915,plain,
% 48.49/31.50 ((v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0))) <=> ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1916,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1915])).
% 48.49/31.50 tff(1917,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1916, 1914])).
% 48.49/31.50 tff(1918,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1919,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1918, 1917])).
% 48.49/31.50 tff(1920,plain,
% 48.49/31.50 ((~v127(constB11, 0)) | v26(constB11)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1919, 930, 1913])).
% 48.49/31.50 tff(1921,plain,
% 48.49/31.50 (~v127(constB11, 0)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1920, 62])).
% 48.49/31.50 tff(1922,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1923,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1924,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 48.49/31.50 tff(1925,plain,
% 48.49/31.50 (v127(constB11, 0) | (~v129(constB12, 0))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1924, 948, 1741])).
% 48.49/31.50 tff(1926,plain,
% 48.49/31.50 (~v129(constB12, 0)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1925, 1921])).
% 48.49/31.50 tff(1927,plain,
% 48.49/31.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1928,plain,
% 48.49/31.50 (((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0)) <=> ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1929,plain,
% 48.49/31.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1928])).
% 48.49/31.50 tff(1930,plain,
% 48.49/31.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1929, 1927])).
% 48.49/31.50 tff(1931,plain,
% 48.49/31.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1932,plain,
% 48.49/31.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 48.49/31.50 tff(1933,plain,
% 48.49/31.50 ((~v90(constB12, 0)) | v129(constB12, 0)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1932, 963, 1829])).
% 48.49/31.50 tff(1934,plain,
% 48.49/31.50 (~v90(constB12, 0)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1933, 1926])).
% 48.49/31.50 tff(1935,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1936,plain,
% 48.49/31.50 (((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))) <=> (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1937,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))))),
% 48.49/31.50 inference(monotonicity,[status(thm)],[1936])).
% 48.49/31.50 tff(1938,plain,
% 48.49/31.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 48.49/31.50 inference(transitivity,[status(thm)],[1937, 1935])).
% 48.49/31.50 tff(1939,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1940,plain,
% 48.49/31.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 48.49/31.50 tff(1941,plain,
% 48.49/31.50 (v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1940, 164, 1843])).
% 48.49/31.50 tff(1942,plain,
% 48.49/31.50 (v90(constB12, 0) | (~v90(constB13, 0))),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1941, 1855])).
% 48.49/31.50 tff(1943,plain,
% 48.49/31.50 (~v90(constB13, 0)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1942, 1934])).
% 48.49/31.50 tff(1944,plain,
% 48.49/31.50 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)))),
% 48.49/31.50 inference(bind,[status(th)],[])).
% 48.49/31.50 tff(1945,plain,
% 48.49/31.50 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 48.49/31.50 inference(quant_intro,[status(thm)],[1944])).
% 48.49/31.50 tff(1946,plain,
% 48.49/31.50 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1947,plain,
% 48.49/31.50 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 0) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))))),
% 48.49/31.50 inference(bind,[status(th)],[])).
% 48.49/31.50 tff(1948,plain,
% 48.49/31.50 (![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 48.49/31.50 inference(quant_intro,[status(thm)],[1947])).
% 48.49/31.50 tff(1949,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 48.49/31.50 tff(1950,plain,
% 48.49/31.50 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1949, 1948])).
% 48.49/31.50 tff(1951,plain,
% 48.49/31.50 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1950, 1946])).
% 48.49/31.50 tff(1952,plain,(
% 48.49/31.50 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 48.49/31.50 inference(skolemize,[status(sab)],[1951])).
% 48.49/31.50 tff(1953,plain,
% 48.49/31.50 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1952, 1945])).
% 48.49/31.50 tff(1954,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1955,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 48.49/31.50 inference(quant_inst,[status(thm)],[])).
% 48.49/31.50 tff(1956,plain,
% 48.49/31.50 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13)),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1955, 1954])).
% 48.49/31.50 tff(1957,plain,
% 48.49/31.50 (v125(constB13)),
% 48.49/31.50 inference(unit_resolution,[status(thm)],[1956, 1953, 1943, 1902, 1864])).
% 48.49/31.50 tff(1958,plain,
% 48.49/31.50 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v113(VarCurr)) <=> ((~v125(VarCurr)) | v113(VarCurr)))),
% 48.49/31.50 inference(bind,[status(th)],[])).
% 48.49/31.50 tff(1959,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 48.49/31.50 inference(quant_intro,[status(thm)],[1958])).
% 48.49/31.50 tff(1960,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 48.49/31.50 inference(rewrite,[status(thm)],[])).
% 48.49/31.50 tff(1961,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 48.49/31.50 tff(1962,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 48.49/31.50 tff(1963,plain,(
% 48.49/31.50 ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 48.49/31.50 inference(skolemize,[status(sab)],[1962])).
% 48.49/31.50 tff(1964,plain,
% 48.49/31.50 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 48.49/31.50 inference(modus_ponens,[status(thm)],[1963, 1959])).
% 48.49/31.50 tff(1965,plain,
% 48.49/31.50 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1966,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(1967,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13)),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[1966, 1965])).
% 48.49/31.51 tff(1968,plain,
% 48.49/31.51 (v113(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1967, 1964, 1957])).
% 48.49/31.51 tff(1969,assumption,(v26(constB13)), introduced(assumption)).
% 48.49/31.51 tff(1970,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(1971,plain,
% 48.49/31.51 ($false),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1970, 43, 1969])).
% 48.49/31.51 tff(1972,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 48.49/31.51 tff(1973,plain,
% 48.49/31.51 (((~![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) | (~v113(constB13)) | v112(constB13))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1974,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(1975,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13)),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[1974, 1973])).
% 48.49/31.51 tff(1976,plain,
% 48.49/31.51 ((~v113(constB13)) | v112(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1975, 280, 1972])).
% 48.49/31.51 tff(1977,plain,
% 48.49/31.51 (v112(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1976, 1968])).
% 48.49/31.51 tff(1978,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1979,plain,
% 48.49/31.51 (((~v112(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v112(constB13)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1980,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13))))),
% 48.49/31.51 inference(monotonicity,[status(thm)],[1979])).
% 48.49/31.51 tff(1981,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 48.49/31.51 inference(transitivity,[status(thm)],[1980, 1978])).
% 48.49/31.51 tff(1982,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(1983,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 48.49/31.51 tff(1984,plain,
% 48.49/31.51 (v108(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1983, 292, 1977])).
% 48.49/31.51 tff(1985,plain,
% 48.49/31.51 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1986,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 48.49/31.51 tff(1987,plain,
% 48.49/31.51 (nextState(constB13, constB14)),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[1986, 1985])).
% 48.49/31.51 tff(1988,plain,
% 48.49/31.51 (((~![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)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1989,plain,
% 48.49/31.51 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1990,plain,
% 48.49/31.51 (((~![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))))),
% 48.49/31.51 inference(monotonicity,[status(thm)],[1989])).
% 48.49/31.51 tff(1991,plain,
% 48.49/31.51 (((~![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)))),
% 48.49/31.51 inference(transitivity,[status(thm)],[1990, 1988])).
% 48.49/31.51 tff(1992,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(1993,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 48.49/31.51 tff(1994,plain,
% 48.49/31.51 (v110(constB14) | (~v108(constB13))),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1993, 312, 1987])).
% 48.49/31.51 tff(1995,plain,
% 48.49/31.51 (v110(constB14)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1994, 1984])).
% 48.49/31.51 tff(1996,plain,
% 48.49/31.51 (((~![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)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(1997,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(1998,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[1997, 1996])).
% 48.49/31.51 tff(1999,plain,
% 48.49/31.51 (~v104(constB14)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[1998, 330, 1987, 1840])).
% 48.49/31.51 tff(2000,plain,
% 48.49/31.51 (((~![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)) | v102(constB14) | v104(constB14))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2001,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2002,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 48.49/31.51 tff(2003,plain,
% 48.49/31.51 (v102(constB14) | v104(constB14)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2002, 344, 1987])).
% 48.49/31.51 tff(2004,plain,
% 48.49/31.51 (v102(constB14)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2003, 1999])).
% 48.49/31.51 tff(2005,plain,
% 48.49/31.51 (v1(constB14) <=> v1(constB14)),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2006,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 48.49/31.51 tff(2007,plain,
% 48.49/31.51 (v1(constB14)),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 48.49/31.51 tff(2008,plain,
% 48.49/31.51 (((~![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)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2009,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2010,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 48.49/31.51 tff(2011,plain,
% 48.49/31.51 (v101(constB14) | (~v102(constB14))),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2010, 362, 1987, 2007])).
% 48.49/31.51 tff(2012,plain,
% 48.49/31.51 (v101(constB14)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2011, 2004])).
% 48.49/31.51 tff(2013,plain,
% 48.49/31.51 (((~![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)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2014,plain,
% 48.49/31.51 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2015,plain,
% 48.49/31.51 (((~![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))))),
% 48.49/31.51 inference(monotonicity,[status(thm)],[2014])).
% 48.49/31.51 tff(2016,plain,
% 48.49/31.51 (((~![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)))),
% 48.49/31.51 inference(transitivity,[status(thm)],[2015, 2013])).
% 48.49/31.51 tff(2017,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2018,plain,
% 48.49/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 48.49/31.51 tff(2019,plain,
% 48.49/31.51 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2018, 377, 1987])).
% 48.49/31.51 tff(2020,plain,
% 48.49/31.51 (v100(constB14) | (~v110(constB14))),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2019, 2012])).
% 48.49/31.51 tff(2021,plain,
% 48.49/31.51 (v100(constB14)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2020, 1995])).
% 48.49/31.51 tff(2022,plain,
% 48.49/31.51 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 2))))),
% 48.49/31.51 inference(bind,[status(th)],[])).
% 48.49/31.51 tff(2023,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(quant_intro,[status(thm)],[2022])).
% 48.49/31.51 tff(2024,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2025,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 48.49/31.51 tff(2026,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 48.49/31.51 tff(2027,plain,(
% 48.49/31.51 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(skolemize,[status(sab)],[2026])).
% 48.49/31.51 tff(2028,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2027, 2023])).
% 48.49/31.51 tff(2029,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2030,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2031,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 48.49/31.51 tff(2032,plain,
% 48.49/31.51 (~v121(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2031, 2028, 1864])).
% 48.49/31.51 tff(2033,plain,
% 48.49/31.51 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v122(VarCurr)) | (~v90(VarCurr, 2))))),
% 48.49/31.51 inference(bind,[status(th)],[])).
% 48.49/31.51 tff(2034,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(quant_intro,[status(thm)],[2033])).
% 48.49/31.51 tff(2035,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2036,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 48.49/31.51 tff(2037,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 48.49/31.51 tff(2038,plain,(
% 48.49/31.51 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(skolemize,[status(sab)],[2037])).
% 48.49/31.51 tff(2039,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2038, 2034])).
% 48.49/31.51 tff(2040,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2041,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2042,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 48.49/31.51 tff(2043,plain,
% 48.49/31.51 (~v122(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2042, 2039, 1864])).
% 48.49/31.51 tff(2044,plain,
% 48.49/31.51 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 1))))),
% 48.49/31.51 inference(bind,[status(th)],[])).
% 48.49/31.51 tff(2045,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(quant_intro,[status(thm)],[2044])).
% 48.49/31.51 tff(2046,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2047,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 48.49/31.51 tff(2048,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 48.49/31.51 tff(2049,plain,(
% 48.49/31.51 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(skolemize,[status(sab)],[2048])).
% 48.49/31.51 tff(2050,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2049, 2045])).
% 48.49/31.51 tff(2051,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2052,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2053,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 48.49/31.51 tff(2054,plain,
% 48.49/31.51 (~v119(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2053, 2050, 1902])).
% 48.49/31.51 tff(2055,plain,
% 48.49/31.51 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 1))))),
% 48.49/31.51 inference(bind,[status(th)],[])).
% 48.49/31.51 tff(2056,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(quant_intro,[status(thm)],[2055])).
% 48.49/31.51 tff(2057,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2058,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 48.49/31.51 tff(2059,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 48.49/31.51 tff(2060,plain,(
% 48.49/31.51 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(skolemize,[status(sab)],[2059])).
% 48.49/31.51 tff(2061,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2060, 2056])).
% 48.49/31.51 tff(2062,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2063,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2064,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 48.49/31.51 tff(2065,plain,
% 48.49/31.51 (~v120(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2064, 2061, 1902])).
% 48.49/31.51 tff(2066,plain,
% 48.49/31.51 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 1))))),
% 48.49/31.51 inference(bind,[status(th)],[])).
% 48.49/31.51 tff(2067,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(quant_intro,[status(thm)],[2066])).
% 48.49/31.51 tff(2068,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2069,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 48.49/31.51 tff(2070,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 48.49/31.51 tff(2071,plain,(
% 48.49/31.51 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(skolemize,[status(sab)],[2070])).
% 48.49/31.51 tff(2072,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2071, 2067])).
% 48.49/31.51 tff(2073,plain,
% 48.49/31.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2074,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))),
% 48.49/31.51 inference(quant_inst,[status(thm)],[])).
% 48.49/31.51 tff(2075,plain,
% 48.49/31.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1))),
% 48.49/31.51 inference(modus_ponens,[status(thm)],[2074, 2073])).
% 48.49/31.51 tff(2076,plain,
% 48.49/31.51 (~v123(constB13)),
% 48.49/31.51 inference(unit_resolution,[status(thm)],[2075, 2072, 1902])).
% 48.49/31.51 tff(2077,plain,
% 48.49/31.51 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v124(VarCurr)) | (~v90(VarCurr, 1))))),
% 48.49/31.51 inference(bind,[status(th)],[])).
% 48.49/31.51 tff(2078,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(quant_intro,[status(thm)],[2077])).
% 48.49/31.51 tff(2079,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.49/31.51 inference(rewrite,[status(thm)],[])).
% 48.49/31.51 tff(2080,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 48.49/31.51 tff(2081,plain,
% 48.49/31.51 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 48.59/31.51 tff(2082,plain,(
% 48.59/31.51 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.59/31.51 inference(skolemize,[status(sab)],[2081])).
% 48.59/31.51 tff(2083,plain,
% 48.59/31.51 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2082, 2078])).
% 48.59/31.51 tff(2084,plain,
% 48.59/31.51 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2085,plain,
% 48.59/31.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2086,plain,
% 48.59/31.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 48.59/31.51 tff(2087,plain,
% 48.59/31.51 (~v124(constB13)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2086, 2083, 1902])).
% 48.59/31.51 tff(2088,plain,
% 48.59/31.51 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))))),
% 48.59/31.51 inference(bind,[status(th)],[])).
% 48.59/31.51 tff(2089,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 48.59/31.51 inference(quant_intro,[status(thm)],[2088])).
% 48.59/31.51 tff(2090,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2091,plain,
% 48.59/31.51 (^[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, 2))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))))),
% 48.59/31.51 inference(bind,[status(th)],[])).
% 48.59/31.51 tff(2092,plain,
% 48.59/31.51 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 48.59/31.51 inference(quant_intro,[status(thm)],[2091])).
% 48.59/31.51 tff(2093,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 48.59/31.51 tff(2094,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 48.59/31.51 tff(2095,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2094, 2090])).
% 48.59/31.51 tff(2096,plain,(
% 48.59/31.51 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 48.59/31.51 inference(skolemize,[status(sab)],[2095])).
% 48.59/31.51 tff(2097,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2096, 2089])).
% 48.59/31.51 tff(2098,plain,
% 48.59/31.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2099,plain,
% 48.59/31.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2100,plain,
% 48.59/31.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 48.59/31.51 tff(2101,plain,
% 48.59/31.51 (~v130(constB13, 2)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2100, 2097, 2087, 2076, 2065, 2054, 2043, 2032])).
% 48.59/31.51 tff(2102,plain,
% 48.59/31.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2103,plain,
% 48.59/31.51 ((v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2))) <=> ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2104,plain,
% 48.59/31.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)))),
% 48.59/31.51 inference(monotonicity,[status(thm)],[2103])).
% 48.59/31.51 tff(2105,plain,
% 48.59/31.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 48.59/31.51 inference(transitivity,[status(thm)],[2104, 2102])).
% 48.59/31.51 tff(2106,plain,
% 48.59/31.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2107,plain,
% 48.59/31.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2106, 2105])).
% 48.59/31.51 tff(2108,plain,
% 48.59/31.51 ((~v127(constB13, 2)) | v130(constB13, 2)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2107, 593, 1972])).
% 48.59/31.51 tff(2109,plain,
% 48.59/31.51 (~v127(constB13, 2)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2108, 2101])).
% 48.59/31.51 tff(2110,plain,
% 48.59/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2111,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2112,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 48.59/31.51 tff(2113,plain,
% 48.59/31.51 (v127(constB13, 2) | (~v129(constB14, 2))),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2112, 611, 1987])).
% 48.59/31.51 tff(2114,plain,
% 48.59/31.51 (~v129(constB14, 2)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2113, 2109])).
% 48.59/31.51 tff(2115,plain,
% 48.59/31.51 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2116,plain,
% 48.59/31.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2117,plain,
% 48.59/31.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 48.59/31.51 tff(2118,plain,
% 48.59/31.51 ((~v90(constB14, 2)) | (~v100(constB14))),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2117, 626, 2114])).
% 48.59/31.51 tff(2119,plain,
% 48.59/31.51 (~v90(constB14, 2)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2118, 2021])).
% 48.59/31.51 tff(2120,plain,
% 48.59/31.51 ((~v1(constB15)) <=> (~v1(constB15))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2121,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 48.59/31.51 tff(2122,plain,
% 48.59/31.51 (~v1(constB15)),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 48.59/31.51 tff(2123,plain,
% 48.59/31.51 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2124,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 48.59/31.51 tff(2125,plain,
% 48.59/31.51 (nextState(constB14, constB15)),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 48.59/31.51 tff(2126,plain,
% 48.59/31.51 (((~![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)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2127,plain,
% 48.59/31.51 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2128,plain,
% 48.59/31.51 (((~![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))))),
% 48.59/31.51 inference(monotonicity,[status(thm)],[2127])).
% 48.59/31.51 tff(2129,plain,
% 48.59/31.51 (((~![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)))),
% 48.59/31.51 inference(transitivity,[status(thm)],[2128, 2126])).
% 48.59/31.51 tff(2130,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2131,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2130, 2129])).
% 48.59/31.51 tff(2132,plain,
% 48.59/31.51 (~v101(constB15)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2131, 90, 2125, 2122])).
% 48.59/31.51 tff(2133,plain,
% 48.59/31.51 (((~![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)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2134,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2135,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2134, 2133])).
% 48.59/31.51 tff(2136,plain,
% 48.59/31.51 (v101(constB15) | (~v100(constB15))),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2135, 107, 2125])).
% 48.59/31.51 tff(2137,plain,
% 48.59/31.51 (~v100(constB15)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2136, 2132])).
% 48.59/31.51 tff(2138,plain,
% 48.59/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2139,plain,
% 48.59/31.51 (((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))) <=> (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2140,plain,
% 48.59/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))))),
% 48.59/31.51 inference(monotonicity,[status(thm)],[2139])).
% 48.59/31.51 tff(2141,plain,
% 48.59/31.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 48.59/31.51 inference(transitivity,[status(thm)],[2140, 2138])).
% 48.59/31.51 tff(2142,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))),
% 48.59/31.51 inference(quant_inst,[status(thm)],[])).
% 48.59/31.51 tff(2143,plain,
% 48.59/31.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 48.59/31.51 tff(2144,plain,
% 48.59/31.51 (v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2143, 122, 2125])).
% 48.59/31.51 tff(2145,plain,
% 48.59/31.51 (v90(constB14, 2) | (~v90(constB15, 2))),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2144, 2137])).
% 48.59/31.51 tff(2146,plain,
% 48.59/31.51 (~v90(constB15, 2)),
% 48.59/31.51 inference(unit_resolution,[status(thm)],[2145, 2119])).
% 48.59/31.51 tff(2147,plain,
% 48.59/31.51 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))))),
% 48.59/31.51 inference(bind,[status(th)],[])).
% 48.59/31.51 tff(2148,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 48.59/31.51 inference(quant_intro,[status(thm)],[2147])).
% 48.59/31.51 tff(2149,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 48.59/31.51 inference(rewrite,[status(thm)],[])).
% 48.59/31.51 tff(2150,plain,
% 48.59/31.51 (^[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, 1))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))))),
% 48.59/31.51 inference(bind,[status(th)],[])).
% 48.59/31.51 tff(2151,plain,
% 48.59/31.51 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 48.59/31.51 inference(quant_intro,[status(thm)],[2150])).
% 48.59/31.51 tff(2152,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 48.59/31.51 tff(2153,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 48.59/31.51 tff(2154,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2153, 2149])).
% 48.59/31.51 tff(2155,plain,(
% 48.59/31.51 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 48.59/31.51 inference(skolemize,[status(sab)],[2154])).
% 48.59/31.51 tff(2156,plain,
% 48.59/31.51 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 48.59/31.51 inference(modus_ponens,[status(thm)],[2155, 2148])).
% 48.59/31.51 tff(2157,plain,
% 48.59/31.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2158,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2159,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 48.59/31.52 tff(2160,plain,
% 48.59/31.52 (~v130(constB13, 1)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2159, 2156, 2087, 2076, 2065, 2054, 2043, 2032])).
% 48.59/31.52 tff(2161,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2162,plain,
% 48.59/31.52 ((v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1))) <=> ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2163,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2162])).
% 48.59/31.52 tff(2164,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2163, 2161])).
% 48.59/31.52 tff(2165,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2166,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 48.59/31.52 tff(2167,plain,
% 48.59/31.52 ((~v127(constB13, 1)) | v130(constB13, 1)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2166, 408, 1972])).
% 48.59/31.52 tff(2168,plain,
% 48.59/31.52 (~v127(constB13, 1)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2167, 2160])).
% 48.59/31.52 tff(2169,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2170,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2171,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2170, 2169])).
% 48.59/31.52 tff(2172,plain,
% 48.59/31.52 (v127(constB13, 1) | (~v129(constB14, 1))),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2171, 438, 1987])).
% 48.59/31.52 tff(2173,plain,
% 48.59/31.52 (~v129(constB14, 1)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2172, 2168])).
% 48.59/31.52 tff(2174,plain,
% 48.59/31.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2175,plain,
% 48.59/31.52 (((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1)) <=> ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2176,plain,
% 48.59/31.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2175])).
% 48.59/31.52 tff(2177,plain,
% 48.59/31.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2176, 2174])).
% 48.59/31.52 tff(2178,plain,
% 48.59/31.52 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2179,plain,
% 48.59/31.52 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 48.59/31.52 tff(2180,plain,
% 48.59/31.52 ((~v90(constB14, 1)) | (~v100(constB14))),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2179, 453, 2173])).
% 48.59/31.52 tff(2181,plain,
% 48.59/31.52 (~v90(constB14, 1)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2180, 2021])).
% 48.59/31.52 tff(2182,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2183,plain,
% 48.59/31.52 (((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))) <=> (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2184,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2183])).
% 48.59/31.52 tff(2185,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2184, 2182])).
% 48.59/31.52 tff(2186,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2187,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 48.59/31.52 tff(2188,plain,
% 48.59/31.52 (v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2187, 143, 2125])).
% 48.59/31.52 tff(2189,plain,
% 48.59/31.52 (v90(constB14, 1) | (~v90(constB15, 1))),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2188, 2137])).
% 48.59/31.52 tff(2190,plain,
% 48.59/31.52 (~v90(constB15, 1)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2189, 2181])).
% 48.59/31.52 tff(2191,plain,
% 48.59/31.52 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)))),
% 48.59/31.52 inference(bind,[status(th)],[])).
% 48.59/31.52 tff(2192,plain,
% 48.59/31.52 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 48.59/31.52 inference(quant_intro,[status(thm)],[2191])).
% 48.59/31.52 tff(2193,plain,
% 48.59/31.52 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2194,plain,
% 48.59/31.52 (^[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, 0)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))))),
% 48.59/31.52 inference(bind,[status(th)],[])).
% 48.59/31.52 tff(2195,plain,
% 48.59/31.52 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 48.59/31.52 inference(quant_intro,[status(thm)],[2194])).
% 48.59/31.52 tff(2196,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 48.59/31.52 tff(2197,plain,
% 48.59/31.52 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 48.59/31.52 tff(2198,plain,
% 48.59/31.52 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2197, 2193])).
% 48.59/31.52 tff(2199,plain,(
% 48.59/31.52 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 48.59/31.52 inference(skolemize,[status(sab)],[2198])).
% 48.59/31.52 tff(2200,plain,
% 48.59/31.52 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2199, 2192])).
% 48.59/31.52 tff(2201,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2202,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2203,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 48.59/31.52 tff(2204,plain,
% 48.59/31.52 (v130(constB13, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2203, 2200, 2087, 2076, 2065, 2054, 2043, 2032])).
% 48.59/31.52 tff(2205,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2206,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2207,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 48.59/31.52 tff(2208,plain,
% 48.59/31.52 ((~v130(constB13, 0)) | v127(constB13, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2207, 515, 1972])).
% 48.59/31.52 tff(2209,plain,
% 48.59/31.52 (v127(constB13, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2208, 2204])).
% 48.59/31.52 tff(2210,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2211,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2212,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 48.59/31.52 tff(2213,plain,
% 48.59/31.52 ((~v127(constB13, 0)) | v129(constB14, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2212, 530, 1987])).
% 48.59/31.52 tff(2214,plain,
% 48.59/31.52 (v129(constB14, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2213, 2209])).
% 48.59/31.52 tff(2215,plain,
% 48.59/31.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2216,plain,
% 48.59/31.52 ((v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0))) <=> (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2217,plain,
% 48.59/31.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2216])).
% 48.59/31.52 tff(2218,plain,
% 48.59/31.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2217, 2215])).
% 48.59/31.52 tff(2219,plain,
% 48.59/31.52 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2220,plain,
% 48.59/31.52 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 48.59/31.52 tff(2221,plain,
% 48.59/31.52 (v90(constB14, 0) | (~v100(constB14))),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2220, 545, 2214])).
% 48.59/31.52 tff(2222,plain,
% 48.59/31.52 (v90(constB14, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2221, 2021])).
% 48.59/31.52 tff(2223,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2224,plain,
% 48.59/31.52 (((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)) <=> ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2225,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2224])).
% 48.59/31.52 tff(2226,plain,
% 48.59/31.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2225, 2223])).
% 48.59/31.52 tff(2227,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2228,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2227, 2226])).
% 48.59/31.52 tff(2229,plain,
% 48.59/31.52 ((~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2228, 563, 2125])).
% 48.59/31.52 tff(2230,plain,
% 48.59/31.52 ((~v90(constB14, 0)) | v90(constB15, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2229, 2137])).
% 48.59/31.52 tff(2231,plain,
% 48.59/31.52 (v90(constB15, 0)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2230, 2222])).
% 48.59/31.52 tff(2232,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2233,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2234,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 48.59/31.52 tff(2235,plain,
% 48.59/31.52 (v120(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2234, 651, 2231, 2190, 2146])).
% 48.59/31.52 tff(2236,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2237,plain,
% 48.59/31.52 (((~v120(constB15)) | v118(constB15)) <=> (v118(constB15) | (~v120(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2238,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2237])).
% 48.59/31.52 tff(2239,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2238, 2236])).
% 48.59/31.52 tff(2240,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2241,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 48.59/31.52 tff(2242,plain,
% 48.59/31.52 (v118(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2241, 665, 2235])).
% 48.59/31.52 tff(2243,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2244,plain,
% 48.59/31.52 (((~v118(constB15)) | v117(constB15)) <=> (v117(constB15) | (~v118(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2245,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2244])).
% 48.59/31.52 tff(2246,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2245, 2243])).
% 48.59/31.52 tff(2247,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2248,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2247, 2246])).
% 48.59/31.52 tff(2249,plain,
% 48.59/31.52 (v117(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2248, 210, 2242])).
% 48.59/31.52 tff(2250,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2251,plain,
% 48.59/31.52 (((~v117(constB15)) | v116(constB15)) <=> (v116(constB15) | (~v117(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2252,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2251])).
% 48.59/31.52 tff(2253,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2252, 2250])).
% 48.59/31.52 tff(2254,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2255,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 48.59/31.52 tff(2256,plain,
% 48.59/31.52 (v116(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2255, 224, 2249])).
% 48.59/31.52 tff(2257,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2258,plain,
% 48.59/31.52 (((~v116(constB15)) | v115(constB15)) <=> (v115(constB15) | (~v116(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2259,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2258])).
% 48.59/31.52 tff(2260,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2259, 2257])).
% 48.59/31.52 tff(2261,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2262,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 48.59/31.52 tff(2263,plain,
% 48.59/31.52 (v115(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2262, 238, 2256])).
% 48.59/31.52 tff(2264,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB15)) | v114(constB15))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2265,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2266,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB15)) | v114(constB15)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2265, 2264])).
% 48.59/31.52 tff(2267,plain,
% 48.59/31.52 (v114(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2266, 252, 2263])).
% 48.59/31.52 tff(2268,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2269,plain,
% 48.59/31.52 (((~v114(constB15)) | v113(constB15)) <=> (v113(constB15) | (~v114(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2270,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2269])).
% 48.59/31.52 tff(2271,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2270, 2268])).
% 48.59/31.52 tff(2272,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2273,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2272, 2271])).
% 48.59/31.52 tff(2274,plain,
% 48.59/31.52 (v113(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2273, 266, 2267])).
% 48.59/31.52 tff(2275,assumption,(~v108(constB15)), introduced(assumption)).
% 48.59/31.52 tff(2276,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2277,plain,
% 48.59/31.52 (((~v112(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v112(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2278,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2277])).
% 48.59/31.52 tff(2279,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2278, 2276])).
% 48.59/31.52 tff(2280,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2281,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 48.59/31.52 tff(2282,plain,
% 48.59/31.52 (~v112(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2281, 292, 2275])).
% 48.59/31.52 tff(2283,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v26(constB15)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v26(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2284,plain,
% 48.59/31.52 (((~v26(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v26(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2285,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v26(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2284])).
% 48.59/31.52 tff(2286,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v26(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2285, 2283])).
% 48.59/31.52 tff(2287,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB15)) | v108(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2288,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v26(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 48.59/31.52 tff(2289,plain,
% 48.59/31.52 (~v26(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2288, 1761, 2275])).
% 48.59/31.52 tff(2290,assumption,(v113(constB15)), introduced(assumption)).
% 48.59/31.52 tff(2291,plain,
% 48.59/31.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2292,plain,
% 48.59/31.52 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2293,plain,
% 48.59/31.52 (((~![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) | v112(constB15) | (~v113(constB15))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2292])).
% 48.59/31.52 tff(2294,plain,
% 48.59/31.52 (((~![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) | v112(constB15) | (~v113(constB15)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2293, 2291])).
% 48.59/31.52 tff(2295,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2296,plain,
% 48.59/31.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 48.59/31.52 tff(2297,plain,
% 48.59/31.52 (v26(constB15) | v112(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2296, 280, 2290])).
% 48.59/31.52 tff(2298,plain,
% 48.59/31.52 ($false),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2297, 2289, 2282])).
% 48.59/31.52 tff(2299,plain,(v108(constB15) | (~v113(constB15))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.52 tff(2300,plain,
% 48.59/31.52 (v108(constB15)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2299, 2274])).
% 48.59/31.52 tff(2301,plain,
% 48.59/31.52 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2302,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 48.59/31.52 tff(2303,plain,
% 48.59/31.52 (nextState(constB15, constB16)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2302, 2301])).
% 48.59/31.52 tff(2304,plain,
% 48.59/31.52 (((~![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)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2305,plain,
% 48.59/31.52 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2306,plain,
% 48.59/31.52 (((~![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))))),
% 48.59/31.52 inference(monotonicity,[status(thm)],[2305])).
% 48.59/31.52 tff(2307,plain,
% 48.59/31.52 (((~![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)))),
% 48.59/31.52 inference(transitivity,[status(thm)],[2306, 2304])).
% 48.59/31.52 tff(2308,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2309,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 48.59/31.52 tff(2310,plain,
% 48.59/31.52 (v110(constB16) | (~v108(constB15))),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2309, 312, 2303])).
% 48.59/31.52 tff(2311,plain,
% 48.59/31.52 (v110(constB16)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2310, 2300])).
% 48.59/31.52 tff(2312,plain,
% 48.59/31.52 (((~![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)))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2313,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2314,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 48.59/31.52 tff(2315,plain,
% 48.59/31.52 (~v104(constB16)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2314, 330, 2303, 2122])).
% 48.59/31.52 tff(2316,plain,
% 48.59/31.52 (((~![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)) | v102(constB16) | v104(constB16))),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2317,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 48.59/31.52 inference(quant_inst,[status(thm)],[])).
% 48.59/31.52 tff(2318,plain,
% 48.59/31.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 48.59/31.52 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 48.59/31.52 tff(2319,plain,
% 48.59/31.52 (v102(constB16) | v104(constB16)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2318, 344, 2303])).
% 48.59/31.52 tff(2320,plain,
% 48.59/31.52 (v102(constB16)),
% 48.59/31.52 inference(unit_resolution,[status(thm)],[2319, 2315])).
% 48.59/31.52 tff(2321,plain,
% 48.59/31.52 (v1(constB16) <=> v1(constB16)),
% 48.59/31.52 inference(rewrite,[status(thm)],[])).
% 48.59/31.52 tff(2322,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 48.59/31.53 tff(2323,plain,
% 48.59/31.53 (v1(constB16)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 48.59/31.53 tff(2324,plain,
% 48.59/31.53 (((~![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)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2325,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2326,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 48.59/31.53 tff(2327,plain,
% 48.59/31.53 (v101(constB16) | (~v102(constB16))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2326, 362, 2303, 2323])).
% 48.59/31.53 tff(2328,plain,
% 48.59/31.53 (v101(constB16)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2327, 2320])).
% 48.59/31.53 tff(2329,plain,
% 48.59/31.53 (((~![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)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2330,plain,
% 48.59/31.53 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2331,plain,
% 48.59/31.53 (((~![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))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2330])).
% 48.59/31.53 tff(2332,plain,
% 48.59/31.53 (((~![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)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2331, 2329])).
% 48.59/31.53 tff(2333,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2334,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2333, 2332])).
% 48.59/31.53 tff(2335,plain,
% 48.59/31.53 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2334, 377, 2303])).
% 48.59/31.53 tff(2336,plain,
% 48.59/31.53 (v100(constB16) | (~v110(constB16))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2335, 2328])).
% 48.59/31.53 tff(2337,plain,
% 48.59/31.53 (v100(constB16)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2336, 2311])).
% 48.59/31.53 tff(2338,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2339,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2340,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 48.59/31.53 tff(2341,plain,
% 48.59/31.53 (~v130(constB15, 2)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2340, 767, 2235])).
% 48.59/31.53 tff(2342,assumption,(v26(constB15)), introduced(assumption)).
% 48.59/31.53 tff(2343,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2344,plain,
% 48.59/31.53 ($false),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2343, 43, 2342])).
% 48.59/31.53 tff(2345,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.53 tff(2346,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2347,plain,
% 48.59/31.53 ((v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2))) <=> ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2348,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2347])).
% 48.59/31.53 tff(2349,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2348, 2346])).
% 48.59/31.53 tff(2350,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2351,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 48.59/31.53 tff(2352,plain,
% 48.59/31.53 ((~v127(constB15, 2)) | v130(constB15, 2)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2351, 593, 2345])).
% 48.59/31.53 tff(2353,plain,
% 48.59/31.53 (~v127(constB15, 2)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2352, 2341])).
% 48.59/31.53 tff(2354,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2355,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2356,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2355, 2354])).
% 48.59/31.53 tff(2357,plain,
% 48.59/31.53 (v127(constB15, 2) | (~v129(constB16, 2))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2356, 611, 2303])).
% 48.59/31.53 tff(2358,plain,
% 48.59/31.53 (~v129(constB16, 2)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2357, 2353])).
% 48.59/31.53 tff(2359,plain,
% 48.59/31.53 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2360,plain,
% 48.59/31.53 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2361,plain,
% 48.59/31.53 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 48.59/31.53 tff(2362,plain,
% 48.59/31.53 ((~v90(constB16, 2)) | (~v100(constB16))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2361, 626, 2358])).
% 48.59/31.53 tff(2363,plain,
% 48.59/31.53 (~v90(constB16, 2)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2362, 2337])).
% 48.59/31.53 tff(2364,plain,
% 48.59/31.53 ((~v1(constB17)) <=> (~v1(constB17))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2365,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 48.59/31.53 tff(2366,plain,
% 48.59/31.53 (~v1(constB17)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2365, 2364])).
% 48.59/31.53 tff(2367,plain,
% 48.59/31.53 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2368,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 48.59/31.53 tff(2369,plain,
% 48.59/31.53 (nextState(constB16, constB17)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 48.59/31.53 tff(2370,plain,
% 48.59/31.53 (((~![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)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2371,plain,
% 48.59/31.53 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2372,plain,
% 48.59/31.53 (((~![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))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2371])).
% 48.59/31.53 tff(2373,plain,
% 48.59/31.53 (((~![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)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2372, 2370])).
% 48.59/31.53 tff(2374,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2375,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 48.59/31.53 tff(2376,plain,
% 48.59/31.53 (~v101(constB17)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2375, 90, 2369, 2366])).
% 48.59/31.53 tff(2377,plain,
% 48.59/31.53 (((~![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)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2378,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2379,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 48.59/31.53 tff(2380,plain,
% 48.59/31.53 (v101(constB17) | (~v100(constB17))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2379, 107, 2369])).
% 48.59/31.53 tff(2381,plain,
% 48.59/31.53 (~v100(constB17)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2380, 2376])).
% 48.59/31.53 tff(2382,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2383,plain,
% 48.59/31.53 (((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))) <=> (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2384,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2383])).
% 48.59/31.53 tff(2385,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2384, 2382])).
% 48.59/31.53 tff(2386,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2387,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2386, 2385])).
% 48.59/31.53 tff(2388,plain,
% 48.59/31.53 (v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2387, 122, 2369])).
% 48.59/31.53 tff(2389,plain,
% 48.59/31.53 (v90(constB16, 2) | (~v90(constB17, 2))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2388, 2381])).
% 48.59/31.53 tff(2390,plain,
% 48.59/31.53 (~v90(constB17, 2)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2389, 2363])).
% 48.59/31.53 tff(2391,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2392,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2393,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 48.59/31.53 tff(2394,plain,
% 48.59/31.53 (v130(constB15, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2393, 838, 2235])).
% 48.59/31.53 tff(2395,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2396,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2397,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2396, 2395])).
% 48.59/31.53 tff(2398,plain,
% 48.59/31.53 ((~v130(constB15, 1)) | v127(constB15, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2397, 852, 2345])).
% 48.59/31.53 tff(2399,plain,
% 48.59/31.53 (v127(constB15, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2398, 2394])).
% 48.59/31.53 tff(2400,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2401,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2402,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 48.59/31.53 tff(2403,plain,
% 48.59/31.53 ((~v127(constB15, 1)) | v129(constB16, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2402, 867, 2303])).
% 48.59/31.53 tff(2404,plain,
% 48.59/31.53 (v129(constB16, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2403, 2399])).
% 48.59/31.53 tff(2405,plain,
% 48.59/31.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2406,plain,
% 48.59/31.53 ((v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1))) <=> (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2407,plain,
% 48.59/31.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2406])).
% 48.59/31.53 tff(2408,plain,
% 48.59/31.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2407, 2405])).
% 48.59/31.53 tff(2409,plain,
% 48.59/31.53 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2410,plain,
% 48.59/31.53 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 48.59/31.53 tff(2411,plain,
% 48.59/31.53 (v90(constB16, 1) | (~v100(constB16))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2410, 882, 2404])).
% 48.59/31.53 tff(2412,plain,
% 48.59/31.53 (v90(constB16, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2411, 2337])).
% 48.59/31.53 tff(2413,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2414,plain,
% 48.59/31.53 (((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)) <=> ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2415,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2414])).
% 48.59/31.53 tff(2416,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2415, 2413])).
% 48.59/31.53 tff(2417,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2418,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2417, 2416])).
% 48.59/31.53 tff(2419,plain,
% 48.59/31.53 ((~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2418, 900, 2369])).
% 48.59/31.53 tff(2420,plain,
% 48.59/31.53 ((~v90(constB16, 1)) | v90(constB17, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2419, 2381])).
% 48.59/31.53 tff(2421,plain,
% 48.59/31.53 (v90(constB17, 1)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2420, 2412])).
% 48.59/31.53 tff(2422,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2423,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2424,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2423, 2422])).
% 48.59/31.53 tff(2425,plain,
% 48.59/31.53 (~v130(constB15, 0)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2424, 916, 2235])).
% 48.59/31.53 tff(2426,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2427,plain,
% 48.59/31.53 ((v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0))) <=> ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2428,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2427])).
% 48.59/31.53 tff(2429,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2428, 2426])).
% 48.59/31.53 tff(2430,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2431,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 48.59/31.53 tff(2432,plain,
% 48.59/31.53 ((~v127(constB15, 0)) | v130(constB15, 0)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2431, 930, 2345])).
% 48.59/31.53 tff(2433,plain,
% 48.59/31.53 (~v127(constB15, 0)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2432, 2425])).
% 48.59/31.53 tff(2434,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2435,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2436,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2435, 2434])).
% 48.59/31.53 tff(2437,plain,
% 48.59/31.53 (v127(constB15, 0) | (~v129(constB16, 0))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2436, 948, 2303])).
% 48.59/31.53 tff(2438,plain,
% 48.59/31.53 (~v129(constB16, 0)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2437, 2433])).
% 48.59/31.53 tff(2439,plain,
% 48.59/31.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2440,plain,
% 48.59/31.53 (((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0)) <=> ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2441,plain,
% 48.59/31.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2440])).
% 48.59/31.53 tff(2442,plain,
% 48.59/31.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2441, 2439])).
% 48.59/31.53 tff(2443,plain,
% 48.59/31.53 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2444,plain,
% 48.59/31.53 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 48.59/31.53 tff(2445,plain,
% 48.59/31.53 ((~v90(constB16, 0)) | (~v100(constB16))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2444, 963, 2438])).
% 48.59/31.53 tff(2446,plain,
% 48.59/31.53 (~v90(constB16, 0)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2445, 2337])).
% 48.59/31.53 tff(2447,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2448,plain,
% 48.59/31.53 (((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))) <=> (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2449,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2448])).
% 48.59/31.53 tff(2450,plain,
% 48.59/31.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2449, 2447])).
% 48.59/31.53 tff(2451,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2452,plain,
% 48.59/31.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 48.59/31.53 tff(2453,plain,
% 48.59/31.53 (v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2452, 164, 2369])).
% 48.59/31.53 tff(2454,plain,
% 48.59/31.53 (v90(constB16, 0) | (~v90(constB17, 0))),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2453, 2381])).
% 48.59/31.53 tff(2455,plain,
% 48.59/31.53 (~v90(constB17, 0)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2454, 2446])).
% 48.59/31.53 tff(2456,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2457,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2458,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 48.59/31.53 tff(2459,plain,
% 48.59/31.53 (v121(constB17)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2458, 990, 2455, 2421, 2390])).
% 48.59/31.53 tff(2460,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2461,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2462,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 48.59/31.53 tff(2463,plain,
% 48.59/31.53 (v117(constB17)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2462, 1001, 2459])).
% 48.59/31.53 tff(2464,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2465,plain,
% 48.59/31.53 (((~v117(constB17)) | v116(constB17)) <=> (v116(constB17) | (~v117(constB17)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2466,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2465])).
% 48.59/31.53 tff(2467,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2466, 2464])).
% 48.59/31.53 tff(2468,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2469,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 48.59/31.53 tff(2470,plain,
% 48.59/31.53 (v116(constB17)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2469, 224, 2463])).
% 48.59/31.53 tff(2471,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB17)) | v115(constB17))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2472,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2473,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB17)) | v115(constB17)),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 48.59/31.53 tff(2474,plain,
% 48.59/31.53 (v115(constB17)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2473, 238, 2470])).
% 48.59/31.53 tff(2475,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2476,plain,
% 48.59/31.53 (((~v115(constB17)) | v114(constB17)) <=> (v114(constB17) | (~v115(constB17)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2477,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2476])).
% 48.59/31.53 tff(2478,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2477, 2475])).
% 48.59/31.53 tff(2479,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))),
% 48.59/31.53 inference(quant_inst,[status(thm)],[])).
% 48.59/31.53 tff(2480,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17))),
% 48.59/31.53 inference(modus_ponens,[status(thm)],[2479, 2478])).
% 48.59/31.53 tff(2481,plain,
% 48.59/31.53 (v114(constB17)),
% 48.59/31.53 inference(unit_resolution,[status(thm)],[2480, 252, 2474])).
% 48.59/31.53 tff(2482,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2483,plain,
% 48.59/31.53 (((~v114(constB17)) | v113(constB17)) <=> (v113(constB17) | (~v114(constB17)))),
% 48.59/31.53 inference(rewrite,[status(thm)],[])).
% 48.59/31.53 tff(2484,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17))))),
% 48.59/31.53 inference(monotonicity,[status(thm)],[2483])).
% 48.59/31.53 tff(2485,plain,
% 48.59/31.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 48.59/31.53 inference(transitivity,[status(thm)],[2484, 2482])).
% 48.59/31.53 tff(2486,plain,
% 48.59/31.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2487,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2486, 2485])).
% 48.59/31.54 tff(2488,plain,
% 48.59/31.54 (v113(constB17)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2487, 266, 2481])).
% 48.59/31.54 tff(2489,assumption,(v26(constB17)), introduced(assumption)).
% 48.59/31.54 tff(2490,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2491,plain,
% 48.59/31.54 ($false),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2490, 43, 2489])).
% 48.59/31.54 tff(2492,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.54 tff(2493,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2494,plain,
% 48.59/31.54 ((v26(constB17) | (~v113(constB17)) | v112(constB17)) <=> (v26(constB17) | v112(constB17) | (~v113(constB17)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2495,plain,
% 48.59/31.54 (((~![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))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2494])).
% 48.59/31.54 tff(2496,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2495, 2493])).
% 48.59/31.54 tff(2497,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2498,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | v112(constB17) | (~v113(constB17))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 48.59/31.54 tff(2499,plain,
% 48.59/31.54 (v112(constB17) | (~v113(constB17))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2498, 280, 2492])).
% 48.59/31.54 tff(2500,plain,
% 48.59/31.54 (v112(constB17)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2499, 2488])).
% 48.59/31.54 tff(2501,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2502,plain,
% 48.59/31.54 (((~v112(constB17)) | v108(constB17)) <=> (v108(constB17) | (~v112(constB17)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2503,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2502])).
% 48.59/31.54 tff(2504,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2503, 2501])).
% 48.59/31.54 tff(2505,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2506,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 48.59/31.54 tff(2507,plain,
% 48.59/31.54 (v108(constB17)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2506, 292, 2500])).
% 48.59/31.54 tff(2508,plain,
% 48.59/31.54 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2509,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 48.59/31.54 tff(2510,plain,
% 48.59/31.54 (nextState(constB17, constB18)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2509, 2508])).
% 48.59/31.54 tff(2511,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2512,plain,
% 48.59/31.54 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2513,plain,
% 48.59/31.54 (((~![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))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2512])).
% 48.59/31.54 tff(2514,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2513, 2511])).
% 48.59/31.54 tff(2515,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2516,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2515, 2514])).
% 48.59/31.54 tff(2517,plain,
% 48.59/31.54 (v110(constB18) | (~v108(constB17))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2516, 312, 2510])).
% 48.59/31.54 tff(2518,plain,
% 48.59/31.54 (v110(constB18)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2517, 2507])).
% 48.59/31.54 tff(2519,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2520,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2521,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2520, 2519])).
% 48.59/31.54 tff(2522,plain,
% 48.59/31.54 (~v104(constB18)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2521, 330, 2510, 2366])).
% 48.59/31.54 tff(2523,plain,
% 48.59/31.54 (((~![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)) | v102(constB18) | v104(constB18))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2524,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2525,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2524, 2523])).
% 48.59/31.54 tff(2526,plain,
% 48.59/31.54 (v102(constB18) | v104(constB18)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2525, 344, 2510])).
% 48.59/31.54 tff(2527,plain,
% 48.59/31.54 (v102(constB18)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2526, 2522])).
% 48.59/31.54 tff(2528,plain,
% 48.59/31.54 (v1(constB18) <=> v1(constB18)),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2529,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 48.59/31.54 tff(2530,plain,
% 48.59/31.54 (v1(constB18)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 48.59/31.54 tff(2531,plain,
% 48.59/31.54 (((~![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)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2532,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2533,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2532, 2531])).
% 48.59/31.54 tff(2534,plain,
% 48.59/31.54 (v101(constB18) | (~v102(constB18))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2533, 362, 2510, 2530])).
% 48.59/31.54 tff(2535,plain,
% 48.59/31.54 (v101(constB18)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2534, 2527])).
% 48.59/31.54 tff(2536,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2537,plain,
% 48.59/31.54 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2538,plain,
% 48.59/31.54 (((~![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))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2537])).
% 48.59/31.54 tff(2539,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2538, 2536])).
% 48.59/31.54 tff(2540,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2541,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 48.59/31.54 tff(2542,plain,
% 48.59/31.54 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2541, 377, 2510])).
% 48.59/31.54 tff(2543,plain,
% 48.59/31.54 (v100(constB18) | (~v110(constB18))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2542, 2535])).
% 48.59/31.54 tff(2544,plain,
% 48.59/31.54 (v100(constB18)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2543, 2518])).
% 48.59/31.54 tff(2545,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2546,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2547,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 48.59/31.54 tff(2548,plain,
% 48.59/31.54 (~v130(constB17, 2)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2547, 1090, 2459])).
% 48.59/31.54 tff(2549,assumption,(v127(constB17, 2)), introduced(assumption)).
% 48.59/31.54 tff(2550,assumption,(~v130(constB17, 2)), introduced(assumption)).
% 48.59/31.54 tff(2551,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2552,plain,
% 48.59/31.54 ((v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2))) <=> ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2553,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2552])).
% 48.59/31.54 tff(2554,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2553, 2551])).
% 48.59/31.54 tff(2555,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2556,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 48.59/31.54 tff(2557,plain,
% 48.59/31.54 ((~v127(constB17, 2)) | v26(constB17)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2556, 593, 2550])).
% 48.59/31.54 tff(2558,plain,
% 48.59/31.54 (v26(constB17)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2557, 2549])).
% 48.59/31.54 tff(2559,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB17)) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB17)) | (~v127(constB17, 2)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2560,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB17)) | (~v127(constB17, 2)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2561,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB17)) | (~v127(constB17, 2))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 48.59/31.54 tff(2562,plain,
% 48.59/31.54 ($false),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2561, 788, 2549, 2558])).
% 48.59/31.54 tff(2563,plain,((~v127(constB17, 2)) | v130(constB17, 2)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.54 tff(2564,plain,
% 48.59/31.54 (~v127(constB17, 2)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2563, 2548])).
% 48.59/31.54 tff(2565,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2566,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2567,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 48.59/31.54 tff(2568,plain,
% 48.59/31.54 (v127(constB17, 2) | (~v129(constB18, 2))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2567, 611, 2510])).
% 48.59/31.54 tff(2569,plain,
% 48.59/31.54 (~v129(constB18, 2)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2568, 2564])).
% 48.59/31.54 tff(2570,plain,
% 48.59/31.54 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2571,plain,
% 48.59/31.54 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2572,plain,
% 48.59/31.54 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2571, 2570])).
% 48.59/31.54 tff(2573,plain,
% 48.59/31.54 ((~v90(constB18, 2)) | (~v100(constB18))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2572, 626, 2569])).
% 48.59/31.54 tff(2574,plain,
% 48.59/31.54 (~v90(constB18, 2)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2573, 2544])).
% 48.59/31.54 tff(2575,plain,
% 48.59/31.54 ((~v1(constB19)) <=> (~v1(constB19))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2576,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 48.59/31.54 tff(2577,plain,
% 48.59/31.54 (~v1(constB19)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 48.59/31.54 tff(2578,plain,
% 48.59/31.54 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2579,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 48.59/31.54 tff(2580,plain,
% 48.59/31.54 (nextState(constB18, constB19)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 48.59/31.54 tff(2581,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2582,plain,
% 48.59/31.54 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2583,plain,
% 48.59/31.54 (((~![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))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2582])).
% 48.59/31.54 tff(2584,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2583, 2581])).
% 48.59/31.54 tff(2585,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2586,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 48.59/31.54 tff(2587,plain,
% 48.59/31.54 (~v101(constB19)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2586, 90, 2580, 2577])).
% 48.59/31.54 tff(2588,plain,
% 48.59/31.54 (((~![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)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2589,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2590,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 48.59/31.54 tff(2591,plain,
% 48.59/31.54 (v101(constB19) | (~v100(constB19))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2590, 107, 2580])).
% 48.59/31.54 tff(2592,plain,
% 48.59/31.54 (~v100(constB19)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2591, 2587])).
% 48.59/31.54 tff(2593,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2594,plain,
% 48.59/31.54 (((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))) <=> (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2595,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2594])).
% 48.59/31.54 tff(2596,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2595, 2593])).
% 48.59/31.54 tff(2597,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2598,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 48.59/31.54 tff(2599,plain,
% 48.59/31.54 (v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2598, 122, 2580])).
% 48.59/31.54 tff(2600,plain,
% 48.59/31.54 (v90(constB18, 2) | (~v90(constB19, 2))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2599, 2592])).
% 48.59/31.54 tff(2601,plain,
% 48.59/31.54 (~v90(constB19, 2)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2600, 2574])).
% 48.59/31.54 tff(2602,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2603,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2604,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 48.59/31.54 tff(2605,plain,
% 48.59/31.54 (v130(constB17, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2604, 1146, 2459])).
% 48.59/31.54 tff(2606,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2607,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2608,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 48.59/31.54 tff(2609,plain,
% 48.59/31.54 ((~v130(constB17, 1)) | v127(constB17, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2608, 852, 2492])).
% 48.59/31.54 tff(2610,plain,
% 48.59/31.54 (v127(constB17, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2609, 2605])).
% 48.59/31.54 tff(2611,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2612,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2613,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 48.59/31.54 tff(2614,plain,
% 48.59/31.54 ((~v127(constB17, 1)) | v129(constB18, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2613, 867, 2510])).
% 48.59/31.54 tff(2615,plain,
% 48.59/31.54 (v129(constB18, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2614, 2610])).
% 48.59/31.54 tff(2616,plain,
% 48.59/31.54 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2617,plain,
% 48.59/31.54 ((v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1))) <=> (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2618,plain,
% 48.59/31.54 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2617])).
% 48.59/31.54 tff(2619,plain,
% 48.59/31.54 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2618, 2616])).
% 48.59/31.54 tff(2620,plain,
% 48.59/31.54 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2621,plain,
% 48.59/31.54 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2620, 2619])).
% 48.59/31.54 tff(2622,plain,
% 48.59/31.54 (v90(constB18, 1) | (~v100(constB18))),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2621, 882, 2615])).
% 48.59/31.54 tff(2623,plain,
% 48.59/31.54 (v90(constB18, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2622, 2544])).
% 48.59/31.54 tff(2624,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2625,plain,
% 48.59/31.54 (((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)) <=> ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2626,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2625])).
% 48.59/31.54 tff(2627,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2626, 2624])).
% 48.59/31.54 tff(2628,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2629,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 48.59/31.54 tff(2630,plain,
% 48.59/31.54 ((~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2629, 900, 2580])).
% 48.59/31.54 tff(2631,plain,
% 48.59/31.54 ((~v90(constB18, 1)) | v90(constB19, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2630, 2592])).
% 48.59/31.54 tff(2632,plain,
% 48.59/31.54 (v90(constB19, 1)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2631, 2623])).
% 48.59/31.54 tff(2633,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2634,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2635,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 48.59/31.54 tff(2636,plain,
% 48.59/31.54 (v130(constB17, 0)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2635, 1184, 2459])).
% 48.59/31.54 tff(2637,plain,
% 48.59/31.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2638,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2639,plain,
% 48.59/31.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 48.59/31.54 tff(2640,plain,
% 48.59/31.54 ((~v130(constB17, 0)) | v127(constB17, 0)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2639, 515, 2492])).
% 48.59/31.54 tff(2641,plain,
% 48.59/31.54 (v127(constB17, 0)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2640, 2636])).
% 48.59/31.54 tff(2642,plain,
% 48.59/31.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2643,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 48.59/31.54 inference(quant_inst,[status(thm)],[])).
% 48.59/31.54 tff(2644,plain,
% 48.59/31.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0)),
% 48.59/31.54 inference(modus_ponens,[status(thm)],[2643, 2642])).
% 48.59/31.54 tff(2645,plain,
% 48.59/31.54 ((~v127(constB17, 0)) | v129(constB18, 0)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2644, 530, 2510])).
% 48.59/31.54 tff(2646,plain,
% 48.59/31.54 (v129(constB18, 0)),
% 48.59/31.54 inference(unit_resolution,[status(thm)],[2645, 2641])).
% 48.59/31.54 tff(2647,plain,
% 48.59/31.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2648,plain,
% 48.59/31.54 ((v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0))) <=> (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 48.59/31.54 inference(rewrite,[status(thm)],[])).
% 48.59/31.54 tff(2649,plain,
% 48.59/31.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))))),
% 48.59/31.54 inference(monotonicity,[status(thm)],[2648])).
% 48.59/31.54 tff(2650,plain,
% 48.59/31.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 48.59/31.54 inference(transitivity,[status(thm)],[2649, 2647])).
% 48.59/31.54 tff(2651,plain,
% 48.59/31.55 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2652,plain,
% 48.59/31.55 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 48.59/31.55 tff(2653,plain,
% 48.59/31.55 (v90(constB18, 0) | (~v100(constB18))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2652, 545, 2646])).
% 48.59/31.55 tff(2654,plain,
% 48.59/31.55 (v90(constB18, 0)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2653, 2544])).
% 48.59/31.55 tff(2655,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2656,plain,
% 48.59/31.55 (((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)) <=> ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2657,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2656])).
% 48.59/31.55 tff(2658,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2657, 2655])).
% 48.59/31.55 tff(2659,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2660,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 48.59/31.55 tff(2661,plain,
% 48.59/31.55 ((~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2660, 563, 2580])).
% 48.59/31.55 tff(2662,plain,
% 48.59/31.55 ((~v90(constB18, 0)) | v90(constB19, 0)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2661, 2592])).
% 48.59/31.55 tff(2663,plain,
% 48.59/31.55 (v90(constB19, 0)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2662, 2654])).
% 48.59/31.55 tff(2664,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2665,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2666,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2665, 2664])).
% 48.59/31.55 tff(2667,plain,
% 48.59/31.55 (v122(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2666, 1225, 2663, 2632, 2601])).
% 48.59/31.55 tff(2668,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v122(constB19)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v122(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2669,plain,
% 48.59/31.55 (((~v122(constB19)) | v116(constB19)) <=> (v116(constB19) | (~v122(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2670,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v122(constB19))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2669])).
% 48.59/31.55 tff(2671,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v122(constB19)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2670, 2668])).
% 48.59/31.55 tff(2672,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2673,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v122(constB19))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 48.59/31.55 tff(2674,plain,
% 48.59/31.55 (v116(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2673, 1236, 2667])).
% 48.59/31.55 tff(2675,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2676,plain,
% 48.59/31.55 (((~v116(constB19)) | v115(constB19)) <=> (v115(constB19) | (~v116(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2677,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2676])).
% 48.59/31.55 tff(2678,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2677, 2675])).
% 48.59/31.55 tff(2679,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2680,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 48.59/31.55 tff(2681,plain,
% 48.59/31.55 (v115(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2680, 238, 2674])).
% 48.59/31.55 tff(2682,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2683,plain,
% 48.59/31.55 (((~v115(constB19)) | v114(constB19)) <=> (v114(constB19) | (~v115(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2684,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2683])).
% 48.59/31.55 tff(2685,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2684, 2682])).
% 48.59/31.55 tff(2686,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2687,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 48.59/31.55 tff(2688,plain,
% 48.59/31.55 (v114(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2687, 252, 2681])).
% 48.59/31.55 tff(2689,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2690,plain,
% 48.59/31.55 (((~v114(constB19)) | v113(constB19)) <=> (v113(constB19) | (~v114(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2691,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2690])).
% 48.59/31.55 tff(2692,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2691, 2689])).
% 48.59/31.55 tff(2693,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2694,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 48.59/31.55 tff(2695,plain,
% 48.59/31.55 (v113(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2694, 266, 2688])).
% 48.59/31.55 tff(2696,assumption,(v26(constB19)), introduced(assumption)).
% 48.59/31.55 tff(2697,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2698,plain,
% 48.59/31.55 ($false),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2697, 43, 2696])).
% 48.59/31.55 tff(2699,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.55 tff(2700,plain,
% 48.59/31.55 (((~![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) | (~v113(constB19)) | v112(constB19))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2701,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2702,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 48.59/31.55 tff(2703,plain,
% 48.59/31.55 ((~v113(constB19)) | v112(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2702, 280, 2699])).
% 48.59/31.55 tff(2704,plain,
% 48.59/31.55 (v112(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2703, 2695])).
% 48.59/31.55 tff(2705,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2706,plain,
% 48.59/31.55 (((~v112(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v112(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2707,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2706])).
% 48.59/31.55 tff(2708,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2707, 2705])).
% 48.59/31.55 tff(2709,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2710,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2709, 2708])).
% 48.59/31.55 tff(2711,plain,
% 48.59/31.55 (v108(constB19)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2710, 292, 2704])).
% 48.59/31.55 tff(2712,plain,
% 48.59/31.55 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2713,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 48.59/31.55 tff(2714,plain,
% 48.59/31.55 (nextState(constB19, constB20)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 48.59/31.55 tff(2715,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2716,plain,
% 48.59/31.55 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2717,plain,
% 48.59/31.55 (((~![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))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2716])).
% 48.59/31.55 tff(2718,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2717, 2715])).
% 48.59/31.55 tff(2719,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2720,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 48.59/31.55 tff(2721,plain,
% 48.59/31.55 (v110(constB20) | (~v108(constB19))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2720, 312, 2714])).
% 48.59/31.55 tff(2722,plain,
% 48.59/31.55 (v110(constB20)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2721, 2711])).
% 48.59/31.55 tff(2723,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2724,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2725,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 48.59/31.55 tff(2726,plain,
% 48.59/31.55 (~v104(constB20)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2725, 330, 2714, 2577])).
% 48.59/31.55 tff(2727,plain,
% 48.59/31.55 (((~![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)) | v102(constB20) | v104(constB20))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2728,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2729,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 48.59/31.55 tff(2730,plain,
% 48.59/31.55 (v102(constB20) | v104(constB20)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2729, 344, 2714])).
% 48.59/31.55 tff(2731,plain,
% 48.59/31.55 (v102(constB20)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2730, 2726])).
% 48.59/31.55 tff(2732,plain,
% 48.59/31.55 (v1(constB20) <=> v1(constB20)),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2733,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 48.59/31.55 tff(2734,plain,
% 48.59/31.55 (v1(constB20)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 48.59/31.55 tff(2735,plain,
% 48.59/31.55 (((~![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)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2736,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2737,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 48.59/31.55 tff(2738,plain,
% 48.59/31.55 (v101(constB20) | (~v102(constB20))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2737, 362, 2714, 2734])).
% 48.59/31.55 tff(2739,plain,
% 48.59/31.55 (v101(constB20)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2738, 2731])).
% 48.59/31.55 tff(2740,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2741,plain,
% 48.59/31.55 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2742,plain,
% 48.59/31.55 (((~![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))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2741])).
% 48.59/31.55 tff(2743,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2742, 2740])).
% 48.59/31.55 tff(2744,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2745,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 48.59/31.55 tff(2746,plain,
% 48.59/31.55 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2745, 377, 2714])).
% 48.59/31.55 tff(2747,plain,
% 48.59/31.55 (v100(constB20) | (~v110(constB20))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2746, 2739])).
% 48.59/31.55 tff(2748,plain,
% 48.59/31.55 (v100(constB20)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2747, 2722])).
% 48.59/31.55 tff(2749,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2750,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2751,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 48.59/31.55 tff(2752,plain,
% 48.59/31.55 (v130(constB19, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2751, 1314, 2667])).
% 48.59/31.55 tff(2753,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2754,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2755,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2754, 2753])).
% 48.59/31.55 tff(2756,plain,
% 48.59/31.55 ((~v130(constB19, 2)) | v127(constB19, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2755, 1328, 2699])).
% 48.59/31.55 tff(2757,plain,
% 48.59/31.55 (v127(constB19, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2756, 2752])).
% 48.59/31.55 tff(2758,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2759,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2760,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 48.59/31.55 tff(2761,plain,
% 48.59/31.55 ((~v127(constB19, 2)) | v129(constB20, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2760, 1343, 2714])).
% 48.59/31.55 tff(2762,plain,
% 48.59/31.55 (v129(constB20, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2761, 2757])).
% 48.59/31.55 tff(2763,plain,
% 48.59/31.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2764,plain,
% 48.59/31.55 ((v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2))) <=> (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2765,plain,
% 48.59/31.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2764])).
% 48.59/31.55 tff(2766,plain,
% 48.59/31.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2765, 2763])).
% 48.59/31.55 tff(2767,plain,
% 48.59/31.55 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2768,plain,
% 48.59/31.55 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2767, 2766])).
% 48.59/31.55 tff(2769,plain,
% 48.59/31.55 (v90(constB20, 2) | (~v100(constB20))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2768, 1358, 2762])).
% 48.59/31.55 tff(2770,plain,
% 48.59/31.55 (v90(constB20, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2769, 2748])).
% 48.59/31.55 tff(2771,plain,
% 48.59/31.55 ((~v1(constB21)) <=> (~v1(constB21))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2772,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 48.59/31.55 tff(2773,plain,
% 48.59/31.55 (~v1(constB21)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 48.59/31.55 tff(2774,plain,
% 48.59/31.55 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2775,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 48.59/31.55 tff(2776,plain,
% 48.59/31.55 (nextState(constB20, constB21)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 48.59/31.55 tff(2777,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2778,plain,
% 48.59/31.55 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2779,plain,
% 48.59/31.55 (((~![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))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2778])).
% 48.59/31.55 tff(2780,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2779, 2777])).
% 48.59/31.55 tff(2781,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2782,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2781, 2780])).
% 48.59/31.55 tff(2783,plain,
% 48.59/31.55 (~v101(constB21)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2782, 90, 2776, 2773])).
% 48.59/31.55 tff(2784,plain,
% 48.59/31.55 (((~![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)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2785,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2786,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2785, 2784])).
% 48.59/31.55 tff(2787,plain,
% 48.59/31.55 (v101(constB21) | (~v100(constB21))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2786, 107, 2776])).
% 48.59/31.55 tff(2788,plain,
% 48.59/31.55 (~v100(constB21)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2787, 2783])).
% 48.59/31.55 tff(2789,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2790,plain,
% 48.59/31.55 (((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)) <=> ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2791,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2790])).
% 48.59/31.55 tff(2792,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2791, 2789])).
% 48.59/31.55 tff(2793,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2794,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 48.59/31.55 tff(2795,plain,
% 48.59/31.55 ((~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2794, 1394, 2776])).
% 48.59/31.55 tff(2796,plain,
% 48.59/31.55 ((~v90(constB20, 2)) | v90(constB21, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2795, 2788])).
% 48.59/31.55 tff(2797,plain,
% 48.59/31.55 (v90(constB21, 2)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2796, 2770])).
% 48.59/31.55 tff(2798,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2799,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2800,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 48.59/31.55 tff(2801,plain,
% 48.59/31.55 (~v130(constB19, 1)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2800, 1410, 2667])).
% 48.59/31.55 tff(2802,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2803,plain,
% 48.59/31.55 ((v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1))) <=> ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2804,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2803])).
% 48.59/31.55 tff(2805,plain,
% 48.59/31.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2804, 2802])).
% 48.59/31.55 tff(2806,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2807,plain,
% 48.59/31.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 48.59/31.55 tff(2808,plain,
% 48.59/31.55 ((~v127(constB19, 1)) | v130(constB19, 1)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2807, 408, 2699])).
% 48.59/31.55 tff(2809,plain,
% 48.59/31.55 (~v127(constB19, 1)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2808, 2801])).
% 48.59/31.55 tff(2810,plain,
% 48.59/31.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2811,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 48.59/31.55 inference(quant_inst,[status(thm)],[])).
% 48.59/31.55 tff(2812,plain,
% 48.59/31.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1))),
% 48.59/31.55 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 48.59/31.55 tff(2813,plain,
% 48.59/31.55 (v127(constB19, 1) | (~v129(constB20, 1))),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2812, 438, 2714])).
% 48.59/31.55 tff(2814,plain,
% 48.59/31.55 (~v129(constB20, 1)),
% 48.59/31.55 inference(unit_resolution,[status(thm)],[2813, 2809])).
% 48.59/31.55 tff(2815,plain,
% 48.59/31.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2816,plain,
% 48.59/31.55 (((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1)) <=> ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 48.59/31.55 inference(rewrite,[status(thm)],[])).
% 48.59/31.55 tff(2817,plain,
% 48.59/31.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))))),
% 48.59/31.55 inference(monotonicity,[status(thm)],[2816])).
% 48.59/31.55 tff(2818,plain,
% 48.59/31.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 48.59/31.55 inference(transitivity,[status(thm)],[2817, 2815])).
% 48.59/31.56 tff(2819,plain,
% 48.59/31.56 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2820,plain,
% 48.59/31.56 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 48.59/31.56 tff(2821,plain,
% 48.59/31.56 ((~v90(constB20, 1)) | (~v100(constB20))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2820, 453, 2814])).
% 48.59/31.56 tff(2822,plain,
% 48.59/31.56 (~v90(constB20, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2821, 2748])).
% 48.59/31.56 tff(2823,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2824,plain,
% 48.59/31.56 (((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))) <=> (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2825,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2824])).
% 48.59/31.56 tff(2826,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2825, 2823])).
% 48.59/31.56 tff(2827,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2828,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 48.59/31.56 tff(2829,plain,
% 48.59/31.56 (v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2828, 143, 2776])).
% 48.59/31.56 tff(2830,plain,
% 48.59/31.56 (v90(constB20, 1) | (~v90(constB21, 1))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2829, 2788])).
% 48.59/31.56 tff(2831,plain,
% 48.59/31.56 (~v90(constB21, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2830, 2822])).
% 48.59/31.56 tff(2832,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2833,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2834,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 48.59/31.56 tff(2835,plain,
% 48.59/31.56 (~v130(constB19, 0)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2834, 1451, 2667])).
% 48.59/31.56 tff(2836,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2837,plain,
% 48.59/31.56 ((v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0))) <=> ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2838,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2837])).
% 48.59/31.56 tff(2839,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2838, 2836])).
% 48.59/31.56 tff(2840,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2841,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 48.59/31.56 tff(2842,plain,
% 48.59/31.56 ((~v127(constB19, 0)) | v130(constB19, 0)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2841, 930, 2699])).
% 48.59/31.56 tff(2843,plain,
% 48.59/31.56 (~v127(constB19, 0)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2842, 2835])).
% 48.59/31.56 tff(2844,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2845,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2846,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2845, 2844])).
% 48.59/31.56 tff(2847,plain,
% 48.59/31.56 (v127(constB19, 0) | (~v129(constB20, 0))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2846, 948, 2714])).
% 48.59/31.56 tff(2848,plain,
% 48.59/31.56 (~v129(constB20, 0)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2847, 2843])).
% 48.59/31.56 tff(2849,plain,
% 48.59/31.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2850,plain,
% 48.59/31.56 (((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0)) <=> ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2851,plain,
% 48.59/31.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2850])).
% 48.59/31.56 tff(2852,plain,
% 48.59/31.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2851, 2849])).
% 48.59/31.56 tff(2853,plain,
% 48.59/31.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2854,plain,
% 48.59/31.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2853, 2852])).
% 48.59/31.56 tff(2855,plain,
% 48.59/31.56 ((~v90(constB20, 0)) | (~v100(constB20))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2854, 963, 2848])).
% 48.59/31.56 tff(2856,plain,
% 48.59/31.56 (~v90(constB20, 0)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2855, 2748])).
% 48.59/31.56 tff(2857,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2858,plain,
% 48.59/31.56 (((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))) <=> (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2859,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2858])).
% 48.59/31.56 tff(2860,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2859, 2857])).
% 48.59/31.56 tff(2861,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2862,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 48.59/31.56 tff(2863,plain,
% 48.59/31.56 (v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2862, 164, 2776])).
% 48.59/31.56 tff(2864,plain,
% 48.59/31.56 (v90(constB20, 0) | (~v90(constB21, 0))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2863, 2788])).
% 48.59/31.56 tff(2865,plain,
% 48.59/31.56 (~v90(constB21, 0)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2864, 2856])).
% 48.59/31.56 tff(2866,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2867,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2868,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2867, 2866])).
% 48.59/31.56 tff(2869,plain,
% 48.59/31.56 (v123(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2868, 1495, 2865, 2831, 2797])).
% 48.59/31.56 tff(2870,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2871,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2872,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 48.59/31.56 tff(2873,plain,
% 48.59/31.56 (~v130(constB21, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2872, 1636, 2869])).
% 48.59/31.56 tff(2874,assumption,(v26(constB21)), introduced(assumption)).
% 48.59/31.56 tff(2875,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2876,plain,
% 48.59/31.56 ($false),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2875, 43, 2874])).
% 48.59/31.56 tff(2877,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.56 tff(2878,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2879,plain,
% 48.59/31.56 ((v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1))) <=> ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2880,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2879])).
% 48.59/31.56 tff(2881,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2880, 2878])).
% 48.59/31.56 tff(2882,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2883,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 48.59/31.56 tff(2884,plain,
% 48.59/31.56 ((~v127(constB21, 1)) | v130(constB21, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2883, 408, 2877])).
% 48.59/31.56 tff(2885,plain,
% 48.59/31.56 (~v127(constB21, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2884, 2873])).
% 48.59/31.56 tff(2886,plain,
% 48.59/31.56 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2887,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 48.59/31.56 tff(2888,plain,
% 48.59/31.56 (nextState(constB21, constB22)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2887, 2886])).
% 48.59/31.56 tff(2889,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2890,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2891,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 48.59/31.56 tff(2892,plain,
% 48.59/31.56 (v127(constB21, 1) | (~v129(constB22, 1))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2891, 438, 2888])).
% 48.59/31.56 tff(2893,plain,
% 48.59/31.56 (~v129(constB22, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2892, 2885])).
% 48.59/31.56 tff(2894,assumption,(~v90(constB21, 1)), introduced(assumption)).
% 48.59/31.56 tff(2895,assumption,(~v100(constB22)), introduced(assumption)).
% 48.59/31.56 tff(2896,plain,
% 48.59/31.56 (((~![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)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2897,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2898,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 48.59/31.56 tff(2899,plain,
% 48.59/31.56 (~v104(constB22)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2898, 330, 2888, 2773])).
% 48.59/31.56 tff(2900,plain,
% 48.59/31.56 (((~![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)) | v102(constB22) | v104(constB22))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2901,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2902,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 48.59/31.56 tff(2903,plain,
% 48.59/31.56 (v102(constB22) | v104(constB22)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2902, 344, 2888])).
% 48.59/31.56 tff(2904,plain,
% 48.59/31.56 (v102(constB22)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2903, 2899])).
% 48.59/31.56 tff(2905,plain,
% 48.59/31.56 (v1(constB22) <=> v1(constB22)),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2906,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 48.59/31.56 tff(2907,plain,
% 48.59/31.56 (v1(constB22)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 48.59/31.56 tff(2908,plain,
% 48.59/31.56 (((~![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)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2909,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2910,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 48.59/31.56 tff(2911,plain,
% 48.59/31.56 (v101(constB22) | (~v102(constB22))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2910, 362, 2888, 2907])).
% 48.59/31.56 tff(2912,plain,
% 48.59/31.56 (v101(constB22)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2911, 2904])).
% 48.59/31.56 tff(2913,plain,
% 48.59/31.56 (((~![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)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2914,plain,
% 48.59/31.56 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2915,plain,
% 48.59/31.56 (((~![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))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2914])).
% 48.59/31.56 tff(2916,plain,
% 48.59/31.56 (((~![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)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2915, 2913])).
% 48.59/31.56 tff(2917,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2918,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 48.59/31.56 tff(2919,plain,
% 48.59/31.56 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2918, 377, 2888])).
% 48.59/31.56 tff(2920,plain,
% 48.59/31.56 (v100(constB22) | (~v110(constB22))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2919, 2912])).
% 48.59/31.56 tff(2921,plain,
% 48.59/31.56 (~v110(constB22)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2920, 2895])).
% 48.59/31.56 tff(2922,plain,
% 48.59/31.56 (((~![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)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2923,plain,
% 48.59/31.56 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2924,plain,
% 48.59/31.56 (((~![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))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2923])).
% 48.59/31.56 tff(2925,plain,
% 48.59/31.56 (((~![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)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2924, 2922])).
% 48.59/31.56 tff(2926,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2927,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 48.59/31.56 tff(2928,plain,
% 48.59/31.56 (v110(constB22) | (~v108(constB21))),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2927, 312, 2888])).
% 48.59/31.56 tff(2929,plain,
% 48.59/31.56 (~v108(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2928, 2921])).
% 48.59/31.56 tff(2930,assumption,(~v108(constB21)), introduced(assumption)).
% 48.59/31.56 tff(2931,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2932,plain,
% 48.59/31.56 (((~v112(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v112(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2933,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2932])).
% 48.59/31.56 tff(2934,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2933, 2931])).
% 48.59/31.56 tff(2935,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2936,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 48.59/31.56 tff(2937,plain,
% 48.59/31.56 (~v112(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2936, 292, 2930])).
% 48.59/31.56 tff(2938,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v26(constB21)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v26(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2939,plain,
% 48.59/31.56 (((~v26(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v26(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2940,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v26(constB21))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2939])).
% 48.59/31.56 tff(2941,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v26(constB21)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2940, 2938])).
% 48.59/31.56 tff(2942,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB21)) | v108(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2943,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v26(constB21))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 48.59/31.56 tff(2944,plain,
% 48.59/31.56 (~v26(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2943, 1761, 2930])).
% 48.59/31.56 tff(2945,assumption,(v113(constB21)), introduced(assumption)).
% 48.59/31.56 tff(2946,plain,
% 48.59/31.56 (((~![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) | (~v113(constB21)) | v112(constB21))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2947,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2948,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2947, 2946])).
% 48.59/31.56 tff(2949,plain,
% 48.59/31.56 (v26(constB21) | v112(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2948, 280, 2945])).
% 48.59/31.56 tff(2950,plain,
% 48.59/31.56 ($false),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2949, 2944, 2937])).
% 48.59/31.56 tff(2951,plain,(v108(constB21) | (~v113(constB21))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.56 tff(2952,plain,
% 48.59/31.56 (~v113(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2951, 2929])).
% 48.59/31.56 tff(2953,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB21)) | v113(constB21))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2954,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2955,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB21)) | v113(constB21)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 48.59/31.56 tff(2956,plain,
% 48.59/31.56 (~v114(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2955, 266, 2952])).
% 48.59/31.56 tff(2957,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2958,plain,
% 48.59/31.56 (((~v115(constB21)) | v114(constB21)) <=> (v114(constB21) | (~v115(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2959,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2958])).
% 48.59/31.56 tff(2960,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2959, 2957])).
% 48.59/31.56 tff(2961,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2962,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 48.59/31.56 tff(2963,plain,
% 48.59/31.56 (~v115(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2962, 252, 2956])).
% 48.59/31.56 tff(2964,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2965,plain,
% 48.59/31.56 (((~v116(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v116(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2966,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2965])).
% 48.59/31.56 tff(2967,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2966, 2964])).
% 48.59/31.56 tff(2968,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2969,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 48.59/31.56 tff(2970,plain,
% 48.59/31.56 (~v116(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2969, 238, 2963])).
% 48.59/31.56 tff(2971,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB21) | (~v117(constB21)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v117(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2972,plain,
% 48.59/31.56 (((~v117(constB21)) | v116(constB21)) <=> (v116(constB21) | (~v117(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2973,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB21) | (~v117(constB21))))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2972])).
% 48.59/31.56 tff(2974,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v117(constB21)))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2973, 2971])).
% 48.59/31.56 tff(2975,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB21)) | v116(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2976,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB21) | (~v117(constB21))),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 48.59/31.56 tff(2977,plain,
% 48.59/31.56 (~v117(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2976, 224, 2970])).
% 48.59/31.56 tff(2978,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB21)) | v114(constB21))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2979,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB21)) | v114(constB21))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2980,plain,
% 48.59/31.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB21)) | v114(constB21)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2979, 2978])).
% 48.59/31.56 tff(2981,plain,
% 48.59/31.56 (~v124(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2980, 1775, 2956])).
% 48.59/31.56 tff(2982,assumption,(~v90(constB22, 1)), introduced(assumption)).
% 48.59/31.56 tff(2983,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2984,plain,
% 48.59/31.56 (((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1)) <=> ((~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.56 tff(2985,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1)))),
% 48.59/31.56 inference(monotonicity,[status(thm)],[2984])).
% 48.59/31.56 tff(2986,plain,
% 48.59/31.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))),
% 48.59/31.56 inference(transitivity,[status(thm)],[2985, 2983])).
% 48.59/31.56 tff(2987,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1))),
% 48.59/31.56 inference(quant_inst,[status(thm)],[])).
% 48.59/31.56 tff(2988,plain,
% 48.59/31.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1)),
% 48.59/31.56 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 48.59/31.56 tff(2989,plain,
% 48.59/31.56 ((~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2988, 900, 2888])).
% 48.59/31.56 tff(2990,plain,
% 48.59/31.56 (~v90(constB21, 1)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2989, 2895, 2982])).
% 48.59/31.56 tff(2991,assumption,(~v113(constB21)), introduced(assumption)).
% 48.59/31.56 tff(2992,plain,
% 48.59/31.56 (~v114(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2955, 266, 2991])).
% 48.59/31.56 tff(2993,plain,
% 48.59/31.56 (~v115(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2962, 252, 2992])).
% 48.59/31.56 tff(2994,plain,
% 48.59/31.56 (~v116(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2969, 238, 2993])).
% 48.59/31.56 tff(2995,plain,
% 48.59/31.56 (~v117(constB21)),
% 48.59/31.56 inference(unit_resolution,[status(thm)],[2976, 224, 2994])).
% 48.59/31.56 tff(2996,plain,
% 48.59/31.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB21) | (~v121(constB21)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v121(constB21)))),
% 48.59/31.56 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(2997,plain,
% 48.59/31.57 (((~v121(constB21)) | v117(constB21)) <=> (v117(constB21) | (~v121(constB21)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(2998,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB21)) | v117(constB21))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB21) | (~v121(constB21))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[2997])).
% 48.59/31.57 tff(2999,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB21)) | v117(constB21))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v121(constB21)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[2998, 2996])).
% 48.59/31.57 tff(3000,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB21)) | v117(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3001,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v121(constB21))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 48.59/31.57 tff(3002,plain,
% 48.59/31.57 (~v121(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3001, 1001, 2995])).
% 48.59/31.57 tff(3003,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3004,plain,
% 48.59/31.57 (((~v123(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v123(constB21)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3005,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3004])).
% 48.59/31.57 tff(3006,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3005, 3003])).
% 48.59/31.57 tff(3007,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3008,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 48.59/31.57 tff(3009,plain,
% 48.59/31.57 (~v123(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3008, 1506, 2993])).
% 48.59/31.57 tff(3010,assumption,(~v90(constB21, 0)), introduced(assumption)).
% 48.59/31.57 tff(3011,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB21) | (~v118(constB21)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v118(constB21)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3012,plain,
% 48.59/31.57 (((~v118(constB21)) | v117(constB21)) <=> (v117(constB21) | (~v118(constB21)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3013,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB21)) | v117(constB21))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB21) | (~v118(constB21))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3012])).
% 48.59/31.57 tff(3014,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB21)) | v117(constB21))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v118(constB21)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3013, 3011])).
% 48.59/31.57 tff(3015,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB21)) | v117(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3016,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v118(constB21))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 48.59/31.57 tff(3017,plain,
% 48.59/31.57 (~v118(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3016, 210, 2995])).
% 48.59/31.57 tff(3018,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB21) | (~v119(constB21)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB21) | (~v119(constB21)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3019,plain,
% 48.59/31.57 (((~v119(constB21)) | v118(constB21)) <=> (v118(constB21) | (~v119(constB21)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3020,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB21)) | v118(constB21))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB21) | (~v119(constB21))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3019])).
% 48.59/31.57 tff(3021,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB21)) | v118(constB21))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB21) | (~v119(constB21)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3020, 3018])).
% 48.59/31.57 tff(3022,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB21)) | v118(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3023,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB21) | (~v119(constB21))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 48.59/31.57 tff(3024,plain,
% 48.59/31.57 (~v119(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3023, 199, 3017])).
% 48.59/31.57 tff(3025,assumption,(~v119(constB21)), introduced(assumption)).
% 48.59/31.57 tff(3026,assumption,(~v123(constB21)), introduced(assumption)).
% 48.59/31.57 tff(3027,plain,
% 48.59/31.57 (v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[2868, 1495, 3010])).
% 48.59/31.57 tff(3028,plain,
% 48.59/31.57 (~v90(constB21, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3027, 2894, 3026])).
% 48.59/31.57 tff(3029,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3030,plain,
% 48.59/31.57 ((v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2)) <=> (v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3031,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21)))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3030])).
% 48.59/31.57 tff(3032,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3031, 3029])).
% 48.59/31.57 tff(3033,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3034,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 48.59/31.57 tff(3035,plain,
% 48.59/31.57 (v90(constB21, 1) | v90(constB21, 2) | v119(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3034, 185, 3010])).
% 48.59/31.57 tff(3036,plain,
% 48.59/31.57 ($false),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3035, 3028, 2894, 3025])).
% 48.59/31.57 tff(3037,plain,(v90(constB21, 1) | v119(constB21) | v90(constB21, 0) | v123(constB21)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.57 tff(3038,plain,
% 48.59/31.57 (v90(constB21, 1)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3037, 3024, 3010, 3009])).
% 48.59/31.57 tff(3039,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB21)) | v113(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3040,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB21)) | v113(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3041,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB21)) | v113(constB21)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3040, 3039])).
% 48.59/31.57 tff(3042,plain,
% 48.59/31.57 (~v125(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3041, 1964, 2991])).
% 48.59/31.57 tff(3043,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB21, 0) | (~v90(constB21, 1)) | (~v90(constB21, 2)) | v125(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB21, 0) | (~v90(constB21, 1)) | (~v90(constB21, 2)) | v125(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3044,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB21, 0) | (~v90(constB21, 1)) | (~v90(constB21, 2)) | v125(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3045,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB21, 0) | (~v90(constB21, 1)) | (~v90(constB21, 2)) | v125(constB21)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3044, 3043])).
% 48.59/31.57 tff(3046,plain,
% 48.59/31.57 ((~v90(constB21, 1)) | (~v90(constB21, 2)) | v125(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3045, 1953, 3010])).
% 48.59/31.57 tff(3047,plain,
% 48.59/31.57 (~v90(constB21, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3046, 3038, 3042])).
% 48.59/31.57 tff(3048,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3049,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3050,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3049, 3048])).
% 48.59/31.57 tff(3051,plain,
% 48.59/31.57 ((~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3050, 990, 3010])).
% 48.59/31.57 tff(3052,plain,
% 48.59/31.57 ($false),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3051, 3047, 3038, 3002])).
% 48.59/31.57 tff(3053,plain,(v113(constB21) | v90(constB21, 0)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.57 tff(3054,plain,
% 48.59/31.57 (v90(constB21, 0)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3053, 2952])).
% 48.59/31.57 tff(3055,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB21, 0)) | v90(constB21, 1) | (~v90(constB21, 2)) | v124(constB21))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB21, 0)) | v90(constB21, 1) | (~v90(constB21, 2)) | v124(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3056,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB21, 0)) | v90(constB21, 1) | (~v90(constB21, 2)) | v124(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3057,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB21, 0)) | v90(constB21, 1) | (~v90(constB21, 2)) | v124(constB21)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 48.59/31.57 tff(3058,plain,
% 48.59/31.57 ((~v90(constB21, 2)) | v124(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3057, 1718, 3054, 2990])).
% 48.59/31.57 tff(3059,plain,
% 48.59/31.57 (~v90(constB21, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3058, 2981])).
% 48.59/31.57 tff(3060,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB21, 0)) | v90(constB21, 1) | v90(constB21, 2) | v120(constB21))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB21, 0)) | v90(constB21, 1) | v90(constB21, 2) | v120(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3061,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB21, 0)) | v90(constB21, 1) | v90(constB21, 2) | v120(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3062,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB21, 0)) | v90(constB21, 1) | v90(constB21, 2) | v120(constB21)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3061, 3060])).
% 48.59/31.57 tff(3063,plain,
% 48.59/31.57 (v90(constB21, 2) | v120(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3062, 651, 3054, 2990])).
% 48.59/31.57 tff(3064,plain,
% 48.59/31.57 (v120(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3063, 3059])).
% 48.59/31.57 tff(3065,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB21)) | v118(constB21))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB21)) | v118(constB21))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3066,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB21)) | v118(constB21))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3067,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB21)) | v118(constB21)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3066, 3065])).
% 48.59/31.57 tff(3068,plain,
% 48.59/31.57 (v118(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3067, 665, 3064])).
% 48.59/31.57 tff(3069,plain,
% 48.59/31.57 ($false),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3016, 210, 3068, 2977])).
% 48.59/31.57 tff(3070,plain,(v100(constB22) | v90(constB22, 1)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.57 tff(3071,plain,
% 48.59/31.57 (v90(constB22, 1)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3070, 2895])).
% 48.59/31.57 tff(3072,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3073,plain,
% 48.59/31.57 (((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1))) <=> (v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3074,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3073])).
% 48.59/31.57 tff(3075,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3074, 3072])).
% 48.59/31.57 tff(3076,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1)))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3077,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3076, 3075])).
% 48.59/31.57 tff(3078,plain,
% 48.59/31.57 (v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1))),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3077, 143, 2888])).
% 48.59/31.57 tff(3079,plain,
% 48.59/31.57 ($false),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3078, 3071, 2895, 2894])).
% 48.59/31.57 tff(3080,plain,(v100(constB22) | v90(constB21, 1)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.57 tff(3081,plain,
% 48.59/31.57 (v100(constB22)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3080, 2831])).
% 48.59/31.57 tff(3082,plain,
% 48.59/31.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3083,plain,
% 48.59/31.57 (((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1)) <=> ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3084,plain,
% 48.59/31.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3083])).
% 48.59/31.57 tff(3085,plain,
% 48.59/31.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3084, 3082])).
% 48.59/31.57 tff(3086,plain,
% 48.59/31.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3087,plain,
% 48.59/31.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3086, 3085])).
% 48.59/31.57 tff(3088,plain,
% 48.59/31.57 ((~v90(constB22, 1)) | v129(constB22, 1)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3087, 453, 3081])).
% 48.59/31.57 tff(3089,plain,
% 48.59/31.57 (~v90(constB22, 1)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3088, 2893])).
% 48.59/31.57 tff(3090,plain,
% 48.59/31.57 ((~v1(constB23)) <=> (~v1(constB23))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3091,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 48.59/31.57 tff(3092,plain,
% 48.59/31.57 (~v1(constB23)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 48.59/31.57 tff(3093,plain,
% 48.59/31.57 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3094,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 48.59/31.57 tff(3095,plain,
% 48.59/31.57 (nextState(constB22, constB23)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 48.59/31.57 tff(3096,plain,
% 48.59/31.57 (((~![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)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3097,plain,
% 48.59/31.57 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3098,plain,
% 48.59/31.57 (((~![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))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3097])).
% 48.59/31.57 tff(3099,plain,
% 48.59/31.57 (((~![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)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3098, 3096])).
% 48.59/31.57 tff(3100,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3101,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 48.59/31.57 tff(3102,plain,
% 48.59/31.57 (~v101(constB23)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3101, 90, 3095, 3092])).
% 48.59/31.57 tff(3103,plain,
% 48.59/31.57 (((~![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)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3104,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3105,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 48.59/31.57 tff(3106,plain,
% 48.59/31.57 (v101(constB23) | (~v100(constB23))),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3105, 107, 3095])).
% 48.59/31.57 tff(3107,plain,
% 48.59/31.57 (~v100(constB23)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3106, 3102])).
% 48.59/31.57 tff(3108,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3109,plain,
% 48.59/31.57 (((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))) <=> (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3110,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3109])).
% 48.59/31.57 tff(3111,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3110, 3108])).
% 48.59/31.57 tff(3112,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3113,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 48.59/31.57 tff(3114,plain,
% 48.59/31.57 (v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3113, 143, 3095])).
% 48.59/31.57 tff(3115,plain,
% 48.59/31.57 (v90(constB22, 1) | (~v90(constB23, 1))),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3114, 3107])).
% 48.59/31.57 tff(3116,plain,
% 48.59/31.57 (~v90(constB23, 1)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3115, 3089])).
% 48.59/31.57 tff(3117,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3118,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3119,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 48.59/31.57 tff(3120,plain,
% 48.59/31.57 (v130(constB21, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3119, 1580, 2869])).
% 48.59/31.57 tff(3121,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3122,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3123,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 48.59/31.57 tff(3124,plain,
% 48.59/31.57 ((~v130(constB21, 2)) | v127(constB21, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3123, 1328, 2877])).
% 48.59/31.57 tff(3125,plain,
% 48.59/31.57 (v127(constB21, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3124, 3120])).
% 48.59/31.57 tff(3126,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3127,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3128,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 48.59/31.57 tff(3129,plain,
% 48.59/31.57 ((~v127(constB21, 2)) | v129(constB22, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3128, 1343, 2888])).
% 48.59/31.57 tff(3130,plain,
% 48.59/31.57 (v129(constB22, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3129, 3125])).
% 48.59/31.57 tff(3131,plain,
% 48.59/31.57 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3132,plain,
% 48.59/31.57 ((v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2))) <=> (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3133,plain,
% 48.59/31.57 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3132])).
% 48.59/31.57 tff(3134,plain,
% 48.59/31.57 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3133, 3131])).
% 48.59/31.57 tff(3135,plain,
% 48.59/31.57 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3136,plain,
% 48.59/31.57 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3135, 3134])).
% 48.59/31.57 tff(3137,plain,
% 48.59/31.57 (v90(constB22, 2) | (~v129(constB22, 2))),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3136, 1358, 3081])).
% 48.59/31.57 tff(3138,plain,
% 48.59/31.57 (v90(constB22, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3137, 3130])).
% 48.59/31.57 tff(3139,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3140,plain,
% 48.59/31.57 (((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)) <=> ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3141,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)))),
% 48.59/31.57 inference(monotonicity,[status(thm)],[3140])).
% 48.59/31.57 tff(3142,plain,
% 48.59/31.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 48.59/31.57 inference(transitivity,[status(thm)],[3141, 3139])).
% 48.59/31.57 tff(3143,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3144,plain,
% 48.59/31.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 48.59/31.57 tff(3145,plain,
% 48.59/31.57 ((~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3144, 1394, 3095])).
% 48.59/31.57 tff(3146,plain,
% 48.59/31.57 ((~v90(constB22, 2)) | v90(constB23, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3145, 3107])).
% 48.59/31.57 tff(3147,plain,
% 48.59/31.57 (v90(constB23, 2)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3146, 3138])).
% 48.59/31.57 tff(3148,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB21)) | (~v90(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB21)) | (~v90(constB21, 2)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3149,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB21)) | (~v90(constB21, 2)))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3150,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB21)) | (~v90(constB21, 2))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 48.59/31.57 tff(3151,plain,
% 48.59/31.57 (~v121(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3150, 2028, 2797])).
% 48.59/31.57 tff(3152,plain,
% 48.59/31.57 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 2))))),
% 48.59/31.57 inference(bind,[status(th)],[])).
% 48.59/31.57 tff(3153,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.59/31.57 inference(quant_intro,[status(thm)],[3152])).
% 48.59/31.57 tff(3154,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3155,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 48.59/31.57 tff(3156,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3155, 3154])).
% 48.59/31.57 tff(3157,plain,(
% 48.59/31.57 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.59/31.57 inference(skolemize,[status(sab)],[3156])).
% 48.59/31.57 tff(3158,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3157, 3153])).
% 48.59/31.57 tff(3159,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB21)) | (~v90(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB21)) | (~v90(constB21, 2)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3160,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB21)) | (~v90(constB21, 2)))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3161,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB21)) | (~v90(constB21, 2))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3160, 3159])).
% 48.59/31.57 tff(3162,plain,
% 48.59/31.57 (~v120(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3161, 3158, 2797])).
% 48.59/31.57 tff(3163,plain,
% 48.59/31.57 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ((~v124(VarCurr)) | v90(VarCurr, 0)))),
% 48.59/31.57 inference(bind,[status(th)],[])).
% 48.59/31.57 tff(3164,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 48.59/31.57 inference(quant_intro,[status(thm)],[3163])).
% 48.59/31.57 tff(3165,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3166,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 48.59/31.57 tff(3167,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3166, 3165])).
% 48.59/31.57 tff(3168,plain,(
% 48.59/31.57 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 48.59/31.57 inference(skolemize,[status(sab)],[3167])).
% 48.59/31.57 tff(3169,plain,
% 48.59/31.57 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3168, 3164])).
% 48.59/31.57 tff(3170,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB21)) | v90(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB21)) | v90(constB21, 0))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3171,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB21)) | v90(constB21, 0))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3172,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB21)) | v90(constB21, 0)),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 48.59/31.57 tff(3173,plain,
% 48.59/31.57 (~v124(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3172, 3169, 2865])).
% 48.59/31.57 tff(3174,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB21)) | (~v90(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB21)) | (~v90(constB21, 2)))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3175,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB21)) | (~v90(constB21, 2)))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3176,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB21)) | (~v90(constB21, 2))),
% 48.59/31.57 inference(modus_ponens,[status(thm)],[3175, 3174])).
% 48.59/31.57 tff(3177,plain,
% 48.59/31.57 (~v122(constB21)),
% 48.59/31.57 inference(unit_resolution,[status(thm)],[3176, 2039, 2797])).
% 48.59/31.57 tff(3178,assumption,(~v130(constB21, 0)), introduced(assumption)).
% 48.59/31.57 tff(3179,assumption,(~v122(constB21)), introduced(assumption)).
% 48.59/31.57 tff(3180,plain,
% 48.59/31.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0))),
% 48.59/31.57 inference(rewrite,[status(thm)],[])).
% 48.59/31.57 tff(3181,plain,
% 48.59/31.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))),
% 48.59/31.57 inference(quant_inst,[status(thm)],[])).
% 48.59/31.57 tff(3182,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 48.59/31.58 tff(3183,plain,
% 48.59/31.58 (~v123(constB21)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3182, 1677, 3178])).
% 48.59/31.58 tff(3184,plain,
% 48.59/31.58 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB21)) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB21)) | v130(constB21, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3185,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB21)) | v130(constB21, 0))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3186,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB21)) | v130(constB21, 0)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 48.59/31.58 tff(3187,plain,
% 48.59/31.58 (~v119(constB21)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3186, 501, 3178])).
% 48.59/31.58 tff(3188,assumption,(~v121(constB21)), introduced(assumption)).
% 48.59/31.58 tff(3189,assumption,(~v120(constB21)), introduced(assumption)).
% 48.59/31.58 tff(3190,assumption,(~v124(constB21)), introduced(assumption)).
% 48.59/31.58 tff(3191,plain,
% 48.59/31.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3192,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3193,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 48.59/31.58 tff(3194,plain,
% 48.59/31.58 (v119(constB21) | v122(constB21) | v123(constB21) | v130(constB21, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3193, 2200, 3190, 3189, 3188])).
% 48.59/31.58 tff(3195,plain,
% 48.59/31.58 ($false),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3194, 3187, 3183, 3179, 3178])).
% 48.59/31.58 tff(3196,plain,(v130(constB21, 0) | v122(constB21) | v124(constB21) | v120(constB21) | v121(constB21)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.58 tff(3197,plain,
% 48.59/31.58 (v130(constB21, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3196, 3177, 3173, 3162, 3151])).
% 48.59/31.58 tff(3198,plain,
% 48.59/31.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3199,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3200,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3199, 3198])).
% 48.59/31.58 tff(3201,plain,
% 48.59/31.58 ((~v130(constB21, 0)) | v127(constB21, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3200, 515, 2877])).
% 48.59/31.58 tff(3202,plain,
% 48.59/31.58 (v127(constB21, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3201, 3197])).
% 48.59/31.58 tff(3203,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3204,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3205,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 48.59/31.58 tff(3206,plain,
% 48.59/31.58 ((~v127(constB21, 0)) | v129(constB22, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3205, 530, 2888])).
% 48.59/31.58 tff(3207,plain,
% 48.59/31.58 (v129(constB22, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3206, 3202])).
% 48.59/31.58 tff(3208,plain,
% 48.59/31.58 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3209,plain,
% 48.59/31.58 ((v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0))) <=> (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3210,plain,
% 48.59/31.58 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3209])).
% 48.59/31.58 tff(3211,plain,
% 48.59/31.58 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3210, 3208])).
% 48.59/31.58 tff(3212,plain,
% 48.59/31.58 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3213,plain,
% 48.59/31.58 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 48.59/31.58 tff(3214,plain,
% 48.59/31.58 (v90(constB22, 0) | (~v129(constB22, 0))),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3213, 545, 3081])).
% 48.59/31.58 tff(3215,plain,
% 48.59/31.58 (v90(constB22, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3214, 3207])).
% 48.59/31.58 tff(3216,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3217,plain,
% 48.59/31.58 (((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)) <=> ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3218,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3217])).
% 48.59/31.58 tff(3219,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3218, 3216])).
% 48.59/31.58 tff(3220,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3221,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3220, 3219])).
% 48.59/31.58 tff(3222,plain,
% 48.59/31.58 ((~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3221, 563, 3095])).
% 48.59/31.58 tff(3223,plain,
% 48.59/31.58 ((~v90(constB22, 0)) | v90(constB23, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3222, 3107])).
% 48.59/31.58 tff(3224,plain,
% 48.59/31.58 (v90(constB23, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3223, 3215])).
% 48.59/31.58 tff(3225,plain,
% 48.59/31.58 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3226,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3227,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 48.59/31.58 tff(3228,plain,
% 48.59/31.58 (v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3227, 1718, 3224])).
% 48.59/31.58 tff(3229,plain,
% 48.59/31.58 (v124(constB23)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3228, 3147, 3116])).
% 48.59/31.58 tff(3230,plain,
% 48.59/31.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3231,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3232,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 48.59/31.58 tff(3233,plain,
% 48.59/31.58 (v130(constB23, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3232, 1871, 3229])).
% 48.59/31.58 tff(3234,assumption,(v26(constB23)), introduced(assumption)).
% 48.59/31.58 tff(3235,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3236,plain,
% 48.59/31.58 ($false),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3235, 43, 3234])).
% 48.59/31.58 tff(3237,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 48.59/31.58 tff(3238,plain,
% 48.59/31.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3239,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3240,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 48.59/31.58 tff(3241,plain,
% 48.59/31.58 ((~v130(constB23, 1)) | v127(constB23, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3240, 852, 3237])).
% 48.59/31.58 tff(3242,plain,
% 48.59/31.58 (v127(constB23, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3241, 3233])).
% 48.59/31.58 tff(3243,plain,
% 48.59/31.58 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3244,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 48.59/31.58 tff(3245,plain,
% 48.59/31.58 (nextState(constB23, constB24)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 48.59/31.58 tff(3246,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3247,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3248,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 48.59/31.58 tff(3249,plain,
% 48.59/31.58 ((~v127(constB23, 1)) | v129(constB24, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3248, 867, 3245])).
% 48.59/31.58 tff(3250,plain,
% 48.59/31.58 (v129(constB24, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3249, 3242])).
% 48.59/31.58 tff(3251,assumption,(v90(constB23, 0)), introduced(assumption)).
% 48.59/31.58 tff(3252,assumption,(~v100(constB24)), introduced(assumption)).
% 48.59/31.58 tff(3253,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3254,plain,
% 48.59/31.58 (((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0)) <=> ((~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3255,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0)))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3254])).
% 48.59/31.58 tff(3256,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3255, 3253])).
% 48.59/31.58 tff(3257,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3258,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3257, 3256])).
% 48.59/31.58 tff(3259,plain,
% 48.59/31.58 ((~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3258, 563, 3245])).
% 48.59/31.58 tff(3260,plain,
% 48.59/31.58 (v90(constB24, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3259, 3252, 3251])).
% 48.59/31.58 tff(3261,assumption,(~v130(constB21, 1)), introduced(assumption)).
% 48.59/31.58 tff(3262,assumption,(v90(constB24, 1)), introduced(assumption)).
% 48.59/31.58 tff(3263,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3264,plain,
% 48.59/31.58 (((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1))) <=> (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3265,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1))))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3264])).
% 48.59/31.58 tff(3266,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3265, 3263])).
% 48.59/31.58 tff(3267,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3268,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3267, 3266])).
% 48.59/31.58 tff(3269,plain,
% 48.59/31.58 (v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1))),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3268, 143, 3245])).
% 48.59/31.58 tff(3270,plain,
% 48.59/31.58 (v90(constB23, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3269, 3252, 3262])).
% 48.59/31.58 tff(3271,plain,
% 48.59/31.58 (v90(constB22, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3115, 3270])).
% 48.59/31.58 tff(3272,assumption,(v90(constB24, 0)), introduced(assumption)).
% 48.59/31.58 tff(3273,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3274,plain,
% 48.59/31.58 (((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0))) <=> (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3275,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0))))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3274])).
% 48.59/31.58 tff(3276,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3275, 3273])).
% 48.59/31.58 tff(3277,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3278,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 48.59/31.58 tff(3279,plain,
% 48.59/31.58 (v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0))),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3278, 164, 3245])).
% 48.59/31.58 tff(3280,plain,
% 48.59/31.58 (v90(constB23, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3279, 3252, 3272])).
% 48.59/31.58 tff(3281,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3282,plain,
% 48.59/31.58 (((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0))) <=> (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3283,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0))))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3282])).
% 48.59/31.58 tff(3284,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3283, 3281])).
% 48.59/31.58 tff(3285,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3286,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 48.59/31.58 tff(3287,plain,
% 48.59/31.58 (v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0))),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3286, 164, 3095])).
% 48.59/31.58 tff(3288,plain,
% 48.59/31.58 (v90(constB22, 0) | (~v90(constB23, 0))),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3287, 3107])).
% 48.59/31.58 tff(3289,plain,
% 48.59/31.58 (v90(constB22, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3288, 3280])).
% 48.59/31.58 tff(3290,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3291,plain,
% 48.59/31.58 (((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0))) <=> (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3292,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0))))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3291])).
% 48.59/31.58 tff(3293,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3292, 3290])).
% 48.59/31.58 tff(3294,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3295,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 48.59/31.58 tff(3296,plain,
% 48.59/31.58 (v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0))),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3295, 164, 2888])).
% 48.59/31.58 tff(3297,plain,
% 48.59/31.58 (v100(constB22)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3296, 3289, 3010])).
% 48.59/31.58 tff(3298,plain,
% 48.59/31.58 (v129(constB22, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3087, 453, 3297, 3271])).
% 48.59/31.58 tff(3299,plain,
% 48.59/31.58 (v127(constB21, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[2892, 3298])).
% 48.59/31.58 tff(3300,plain,
% 48.59/31.58 ((~v127(constB21, 1)) | v26(constB21)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[2883, 408, 3261])).
% 48.59/31.58 tff(3301,plain,
% 48.59/31.58 (v26(constB21)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3300, 3299])).
% 48.59/31.58 tff(3302,plain,
% 48.59/31.58 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3303,plain,
% 48.59/31.58 (((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0)) <=> ((~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3304,plain,
% 48.59/31.58 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22))))),
% 48.59/31.58 inference(monotonicity,[status(thm)],[3303])).
% 48.59/31.58 tff(3305,plain,
% 48.59/31.58 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))),
% 48.59/31.58 inference(transitivity,[status(thm)],[3304, 3302])).
% 48.59/31.58 tff(3306,plain,
% 48.59/31.58 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3307,plain,
% 48.59/31.58 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 48.59/31.58 tff(3308,plain,
% 48.59/31.58 (v129(constB22, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3307, 963, 3297, 3289])).
% 48.59/31.58 tff(3309,plain,
% 48.59/31.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3310,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3311,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3310, 3309])).
% 48.59/31.58 tff(3312,plain,
% 48.59/31.58 (v127(constB21, 0) | (~v129(constB22, 0))),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3311, 948, 2888])).
% 48.59/31.58 tff(3313,plain,
% 48.59/31.58 (v127(constB21, 0)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3312, 3308])).
% 48.59/31.58 tff(3314,plain,
% 48.59/31.58 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 0))))),
% 48.59/31.58 inference(bind,[status(th)],[])).
% 48.59/31.58 tff(3315,plain,
% 48.59/31.58 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 48.59/31.58 inference(quant_intro,[status(thm)],[3314])).
% 48.59/31.58 tff(3316,plain,
% 48.59/31.58 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3317,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 48.59/31.58 tff(3318,plain,
% 48.59/31.58 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3317, 3316])).
% 48.59/31.58 tff(3319,plain,(
% 48.59/31.58 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 48.59/31.58 inference(skolemize,[status(sab)],[3318])).
% 48.59/31.58 tff(3320,plain,
% 48.59/31.58 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3319, 3315])).
% 48.59/31.58 tff(3321,plain,
% 48.59/31.58 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB21)) | (~v127(constB21, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB21)) | (~v127(constB21, 0)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3322,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB21)) | (~v127(constB21, 0)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3323,plain,
% 48.59/31.58 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB21)) | (~v127(constB21, 0))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3322, 3321])).
% 48.59/31.58 tff(3324,plain,
% 48.59/31.58 ($false),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3323, 3320, 3313, 3301])).
% 48.59/31.58 tff(3325,plain,(v100(constB24) | v130(constB21, 1) | v90(constB21, 0) | (~v90(constB24, 1)) | (~v90(constB24, 0))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.58 tff(3326,plain,
% 48.59/31.58 (~v90(constB24, 1)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3325, 3252, 3010, 3260, 3261])).
% 48.59/31.58 tff(3327,plain,
% 48.59/31.58 (((~![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)))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3328,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3329,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3328, 3327])).
% 48.59/31.58 tff(3330,plain,
% 48.59/31.58 (~v104(constB24)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3329, 330, 3245, 3092])).
% 48.59/31.58 tff(3331,plain,
% 48.59/31.58 (((~![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)) | v102(constB24) | v104(constB24))),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3332,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 48.59/31.58 inference(quant_inst,[status(thm)],[])).
% 48.59/31.58 tff(3333,plain,
% 48.59/31.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 48.59/31.58 tff(3334,plain,
% 48.59/31.58 (v102(constB24) | v104(constB24)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3333, 344, 3245])).
% 48.59/31.58 tff(3335,plain,
% 48.59/31.58 (v102(constB24)),
% 48.59/31.58 inference(unit_resolution,[status(thm)],[3334, 3330])).
% 48.59/31.58 tff(3336,plain,
% 48.59/31.58 (v1(constB24) <=> v1(constB24)),
% 48.59/31.58 inference(rewrite,[status(thm)],[])).
% 48.59/31.58 tff(3337,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 48.59/31.58 tff(3338,plain,
% 48.59/31.58 (v1(constB24)),
% 48.59/31.58 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 48.59/31.58 tff(3339,plain,
% 48.59/31.58 (((~![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)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3340,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3341,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 48.59/31.59 tff(3342,plain,
% 48.59/31.59 (v101(constB24) | (~v102(constB24))),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3341, 362, 3245, 3338])).
% 48.59/31.59 tff(3343,plain,
% 48.59/31.59 (v101(constB24)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3342, 3335])).
% 48.59/31.59 tff(3344,plain,
% 48.59/31.59 (((~![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)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3345,plain,
% 48.59/31.59 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3346,plain,
% 48.59/31.59 (((~![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))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3345])).
% 48.59/31.59 tff(3347,plain,
% 48.59/31.59 (((~![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)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3346, 3344])).
% 48.59/31.59 tff(3348,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3349,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3348, 3347])).
% 48.59/31.59 tff(3350,plain,
% 48.59/31.59 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3349, 377, 3245])).
% 48.59/31.59 tff(3351,plain,
% 48.59/31.59 (v100(constB24) | (~v110(constB24))),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3350, 3343])).
% 48.59/31.59 tff(3352,plain,
% 48.59/31.59 (~v110(constB24)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3351, 3252])).
% 48.59/31.59 tff(3353,plain,
% 48.59/31.59 (((~![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)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3354,plain,
% 48.59/31.59 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3355,plain,
% 48.59/31.59 (((~![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))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3354])).
% 48.59/31.59 tff(3356,plain,
% 48.59/31.59 (((~![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)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3355, 3353])).
% 48.59/31.59 tff(3357,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3358,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3357, 3356])).
% 48.59/31.59 tff(3359,plain,
% 48.59/31.59 (v110(constB24) | (~v108(constB23))),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3358, 312, 3245])).
% 48.59/31.59 tff(3360,plain,
% 48.59/31.59 (~v108(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3359, 3352])).
% 48.59/31.59 tff(3361,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3362,plain,
% 48.59/31.59 (((~v112(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v112(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3363,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3362])).
% 48.59/31.59 tff(3364,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3363, 3361])).
% 48.59/31.59 tff(3365,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3366,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 48.59/31.59 tff(3367,plain,
% 48.59/31.59 (~v112(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3366, 292, 3360])).
% 48.59/31.59 tff(3368,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v26(constB23)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v26(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3369,plain,
% 48.59/31.59 (((~v26(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v26(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3370,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v26(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3369])).
% 48.59/31.59 tff(3371,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v26(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3370, 3368])).
% 48.59/31.59 tff(3372,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB23)) | v108(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3373,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v26(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 48.59/31.59 tff(3374,plain,
% 48.59/31.59 (~v26(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3373, 1761, 3360])).
% 48.59/31.59 tff(3375,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3376,plain,
% 48.59/31.59 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3377,plain,
% 48.59/31.59 (((~![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) | v112(constB23) | (~v113(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3376])).
% 48.59/31.59 tff(3378,plain,
% 48.59/31.59 (((~![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) | v112(constB23) | (~v113(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3377, 3375])).
% 48.59/31.59 tff(3379,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3380,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 48.59/31.59 tff(3381,plain,
% 48.59/31.59 (~v113(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3380, 280, 3374, 3367])).
% 48.59/31.59 tff(3382,assumption,(v90(constB24, 2)), introduced(assumption)).
% 48.59/31.59 tff(3383,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3384,plain,
% 48.59/31.59 (((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2))) <=> (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3385,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3384])).
% 48.59/31.59 tff(3386,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3385, 3383])).
% 48.59/31.59 tff(3387,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3388,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3387, 3386])).
% 48.59/31.59 tff(3389,plain,
% 48.59/31.59 (v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2))),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3388, 122, 3245])).
% 48.59/31.59 tff(3390,plain,
% 48.59/31.59 (v90(constB23, 2)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3389, 3252, 3382])).
% 48.59/31.59 tff(3391,assumption,(~v90(constB24, 1)), introduced(assumption)).
% 48.59/31.59 tff(3392,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB23, 1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB23, 1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 1))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3393,plain,
% 48.59/31.59 (((~nextState(constB23, constB24)) | (~v90(constB23, 1)) | v100(constB24) | v90(constB24, 1)) <=> ((~v90(constB23, 1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 1))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3394,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 1)) | v100(constB24) | v90(constB24, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB23, 1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 1)))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3393])).
% 48.59/31.59 tff(3395,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 1)) | v100(constB24) | v90(constB24, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB23, 1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 1))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3394, 3392])).
% 48.59/31.59 tff(3396,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 1)) | v100(constB24) | v90(constB24, 1))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3397,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB23, 1)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 1)),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 48.59/31.59 tff(3398,plain,
% 48.59/31.59 ((~v90(constB23, 1)) | v100(constB24) | v90(constB24, 1)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3397, 900, 3245])).
% 48.59/31.59 tff(3399,plain,
% 48.59/31.59 (~v90(constB23, 1)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3398, 3252, 3391])).
% 48.59/31.59 tff(3400,plain,
% 48.59/31.59 (v124(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3227, 1718, 3280, 3399, 3390])).
% 48.59/31.59 tff(3401,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB23)) | v114(constB23))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3402,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3403,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB23)) | v114(constB23)),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 48.59/31.59 tff(3404,plain,
% 48.59/31.59 (v114(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3403, 1775, 3400])).
% 48.59/31.59 tff(3405,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3406,plain,
% 48.59/31.59 (((~v114(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v114(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3407,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3406])).
% 48.59/31.59 tff(3408,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3407, 3405])).
% 48.59/31.59 tff(3409,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3410,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3409, 3408])).
% 48.59/31.59 tff(3411,plain,
% 48.59/31.59 ($false),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3410, 266, 3404, 3381])).
% 48.59/31.59 tff(3412,plain,(v100(constB24) | v90(constB24, 1) | (~v90(constB24, 2)) | (~v90(constB24, 0))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.59 tff(3413,plain,
% 48.59/31.59 (~v90(constB24, 2)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3412, 3326, 3252, 3260])).
% 48.59/31.59 tff(3414,assumption,(~v90(constB24, 2)), introduced(assumption)).
% 48.59/31.59 tff(3415,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB23, 2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB23, 2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 2))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3416,plain,
% 48.59/31.59 (((~nextState(constB23, constB24)) | (~v90(constB23, 2)) | v100(constB24) | v90(constB24, 2)) <=> ((~v90(constB23, 2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 2))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3417,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 2)) | v100(constB24) | v90(constB24, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB23, 2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 2)))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3416])).
% 48.59/31.59 tff(3418,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 2)) | v100(constB24) | v90(constB24, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB23, 2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 2))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3417, 3415])).
% 48.59/31.59 tff(3419,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 2)) | v100(constB24) | v90(constB24, 2))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3420,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB23, 2)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 2)),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 48.59/31.59 tff(3421,plain,
% 48.59/31.59 ((~v90(constB23, 2)) | v100(constB24) | v90(constB24, 2)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3420, 1394, 3245])).
% 48.59/31.59 tff(3422,plain,
% 48.59/31.59 (~v90(constB23, 2)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3421, 3252, 3414])).
% 48.59/31.59 tff(3423,assumption,(v120(constB23)), introduced(assumption)).
% 48.59/31.59 tff(3424,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB23)) | v118(constB23))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB23)) | v118(constB23))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3425,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB23)) | v118(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3426,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB23)) | v118(constB23)),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 48.59/31.59 tff(3427,plain,
% 48.59/31.59 (v118(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3426, 665, 3423])).
% 48.59/31.59 tff(3428,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v118(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3429,plain,
% 48.59/31.59 (((~v118(constB23)) | v117(constB23)) <=> (v117(constB23) | (~v118(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3430,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB23)) | v117(constB23))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB23) | (~v118(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3429])).
% 48.59/31.59 tff(3431,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB23)) | v117(constB23))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v118(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3430, 3428])).
% 48.59/31.59 tff(3432,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB23)) | v117(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3433,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v118(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 48.59/31.59 tff(3434,plain,
% 48.59/31.59 (v117(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3433, 210, 3427])).
% 48.59/31.59 tff(3435,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB23) | (~v117(constB23)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB23) | (~v117(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3436,plain,
% 48.59/31.59 (((~v117(constB23)) | v116(constB23)) <=> (v116(constB23) | (~v117(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3437,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB23)) | v116(constB23))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB23) | (~v117(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3436])).
% 48.59/31.59 tff(3438,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB23)) | v116(constB23))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB23) | (~v117(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3437, 3435])).
% 48.59/31.59 tff(3439,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB23)) | v116(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3440,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB23) | (~v117(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 48.59/31.59 tff(3441,plain,
% 48.59/31.59 (v116(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3440, 224, 3434])).
% 48.59/31.59 tff(3442,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v116(constB23)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v116(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3443,plain,
% 48.59/31.59 (((~v116(constB23)) | v115(constB23)) <=> (v115(constB23) | (~v116(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3444,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v116(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3443])).
% 48.59/31.59 tff(3445,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v116(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3444, 3442])).
% 48.59/31.59 tff(3446,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB23)) | v115(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3447,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v116(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 48.59/31.59 tff(3448,plain,
% 48.59/31.59 (v115(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3447, 238, 3441])).
% 48.59/31.59 tff(3449,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3450,plain,
% 48.59/31.59 (((~v115(constB23)) | v114(constB23)) <=> (v114(constB23) | (~v115(constB23)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3451,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3450])).
% 48.59/31.59 tff(3452,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3451, 3449])).
% 48.59/31.59 tff(3453,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3454,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3453, 3452])).
% 48.59/31.59 tff(3455,plain,
% 48.59/31.59 (v114(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3454, 252, 3448])).
% 48.59/31.59 tff(3456,plain,
% 48.59/31.59 (v113(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3410, 266, 3455])).
% 48.59/31.59 tff(3457,assumption,(~v108(constB23)), introduced(assumption)).
% 48.59/31.59 tff(3458,plain,
% 48.59/31.59 (~v112(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3366, 292, 3457])).
% 48.59/31.59 tff(3459,plain,
% 48.59/31.59 (~v26(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3373, 1761, 3457])).
% 48.59/31.59 tff(3460,assumption,(v113(constB23)), introduced(assumption)).
% 48.59/31.59 tff(3461,plain,
% 48.59/31.59 (v26(constB23) | v112(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3380, 280, 3460])).
% 48.59/31.59 tff(3462,plain,
% 48.59/31.59 ($false),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3461, 3459, 3458])).
% 48.59/31.59 tff(3463,plain,(v108(constB23) | (~v113(constB23))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.59 tff(3464,plain,
% 48.59/31.59 (v108(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3463, 3456])).
% 48.59/31.59 tff(3465,plain,
% 48.59/31.59 (v110(constB24)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3359, 3464])).
% 48.59/31.59 tff(3466,plain,
% 48.59/31.59 (v100(constB24)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3351, 3465])).
% 48.59/31.59 tff(3467,plain,
% 48.59/31.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3468,plain,
% 48.59/31.59 (((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0)) <=> ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3469,plain,
% 48.59/31.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3468])).
% 48.59/31.59 tff(3470,plain,
% 48.59/31.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3469, 3467])).
% 48.59/31.59 tff(3471,plain,
% 48.59/31.59 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3472,plain,
% 48.59/31.59 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 48.59/31.59 tff(3473,plain,
% 48.59/31.59 (v129(constB24, 0) | (~v100(constB24))),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3472, 963, 3272])).
% 48.59/31.59 tff(3474,plain,
% 48.59/31.59 (v129(constB24, 0)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3473, 3466])).
% 48.59/31.59 tff(3475,plain,
% 48.59/31.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3476,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3477,plain,
% 48.59/31.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3476, 3475])).
% 48.59/31.59 tff(3478,plain,
% 48.59/31.59 (v127(constB23, 0) | (~v129(constB24, 0))),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3477, 948, 3245])).
% 48.59/31.59 tff(3479,plain,
% 48.59/31.59 (v127(constB23, 0)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3478, 3474])).
% 48.59/31.59 tff(3480,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB23)) | (~v130(constB23, 0)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3481,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB23)) | (~v130(constB23, 0)))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3482,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB23)) | (~v130(constB23, 0))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3481, 3480])).
% 48.59/31.59 tff(3483,plain,
% 48.59/31.59 (~v130(constB23, 0)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3482, 916, 3423])).
% 48.59/31.59 tff(3484,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3485,plain,
% 48.59/31.59 ((v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0))) <=> ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3486,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3485])).
% 48.59/31.59 tff(3487,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3486, 3484])).
% 48.59/31.59 tff(3488,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3489,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3488, 3487])).
% 48.59/31.59 tff(3490,plain,
% 48.59/31.59 ((~v127(constB23, 0)) | v26(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3489, 930, 3483])).
% 48.59/31.59 tff(3491,plain,
% 48.59/31.59 (v26(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3490, 3479])).
% 48.59/31.59 tff(3492,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB23)) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB23)) | (~v127(constB23, 0)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3493,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB23)) | (~v127(constB23, 0)))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3494,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB23)) | (~v127(constB23, 0))),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 48.59/31.59 tff(3495,plain,
% 48.59/31.59 ($false),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3494, 3320, 3479, 3491])).
% 48.59/31.59 tff(3496,plain,((~v120(constB23)) | (~v90(constB24, 0))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.59 tff(3497,plain,
% 48.59/31.59 (~v120(constB23)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3496, 3272])).
% 48.59/31.59 tff(3498,plain,
% 48.59/31.59 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3499,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3500,plain,
% 48.59/31.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23)),
% 48.59/31.59 inference(modus_ponens,[status(thm)],[3499, 3498])).
% 48.59/31.59 tff(3501,plain,
% 48.59/31.59 ((~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3500, 651, 3497])).
% 48.59/31.59 tff(3502,plain,
% 48.59/31.59 ($false),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3501, 3399, 3280, 3422])).
% 48.59/31.59 tff(3503,plain,(v100(constB24) | v90(constB24, 2) | v90(constB24, 1) | (~v90(constB24, 0))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.59 tff(3504,plain,
% 48.59/31.59 ($false),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3503, 3413, 3326, 3252, 3260])).
% 48.59/31.59 tff(3505,plain,(v100(constB24) | v90(constB21, 0) | v130(constB21, 1) | (~v90(constB23, 0))), inference(lemma,lemma(discharge,[]))).
% 48.59/31.59 tff(3506,plain,
% 48.59/31.59 (v100(constB24)),
% 48.59/31.59 inference(unit_resolution,[status(thm)],[3505, 2873, 2865, 3224])).
% 48.59/31.59 tff(3507,plain,
% 48.59/31.59 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3508,plain,
% 48.59/31.59 ((v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1))) <=> (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 48.59/31.59 inference(rewrite,[status(thm)],[])).
% 48.59/31.59 tff(3509,plain,
% 48.59/31.59 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))))),
% 48.59/31.59 inference(monotonicity,[status(thm)],[3508])).
% 48.59/31.59 tff(3510,plain,
% 48.59/31.59 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 48.59/31.59 inference(transitivity,[status(thm)],[3509, 3507])).
% 48.59/31.59 tff(3511,plain,
% 48.59/31.59 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))),
% 48.59/31.59 inference(quant_inst,[status(thm)],[])).
% 48.59/31.59 tff(3512,plain,
% 48.59/31.59 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3511, 3510])).
% 48.67/31.60 tff(3513,plain,
% 48.67/31.60 (v90(constB24, 1) | (~v129(constB24, 1))),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3512, 882, 3506])).
% 48.67/31.60 tff(3514,plain,
% 48.67/31.60 (v90(constB24, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3513, 3250])).
% 48.67/31.60 tff(3515,plain,
% 48.67/31.60 ((~v1(constB25)) <=> (~v1(constB25))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3516,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 48.67/31.60 tff(3517,plain,
% 48.67/31.60 (~v1(constB25)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3516, 3515])).
% 48.67/31.60 tff(3518,plain,
% 48.67/31.60 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3519,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 48.67/31.60 tff(3520,plain,
% 48.67/31.60 (nextState(constB24, constB25)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 48.67/31.60 tff(3521,plain,
% 48.67/31.60 (((~![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)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3522,plain,
% 48.67/31.60 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3523,plain,
% 48.67/31.60 (((~![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))))),
% 48.67/31.60 inference(monotonicity,[status(thm)],[3522])).
% 48.67/31.60 tff(3524,plain,
% 48.67/31.60 (((~![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)))),
% 48.67/31.60 inference(transitivity,[status(thm)],[3523, 3521])).
% 48.67/31.60 tff(3525,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3526,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3525, 3524])).
% 48.67/31.60 tff(3527,plain,
% 48.67/31.60 (~v101(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3526, 90, 3520, 3517])).
% 48.67/31.60 tff(3528,plain,
% 48.67/31.60 (((~![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)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3529,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3530,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 48.67/31.60 tff(3531,plain,
% 48.67/31.60 (v101(constB25) | (~v100(constB25))),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3530, 107, 3520])).
% 48.67/31.60 tff(3532,plain,
% 48.67/31.60 (~v100(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3531, 3527])).
% 48.67/31.60 tff(3533,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3534,plain,
% 48.67/31.60 (((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)) <=> ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3535,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)))),
% 48.67/31.60 inference(monotonicity,[status(thm)],[3534])).
% 48.67/31.60 tff(3536,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 48.67/31.60 inference(transitivity,[status(thm)],[3535, 3533])).
% 48.67/31.60 tff(3537,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3538,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 48.67/31.60 tff(3539,plain,
% 48.67/31.60 ((~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3538, 900, 3520])).
% 48.67/31.60 tff(3540,plain,
% 48.67/31.60 ((~v90(constB24, 1)) | v90(constB25, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3539, 3532])).
% 48.67/31.60 tff(3541,plain,
% 48.67/31.60 (v90(constB25, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3540, 3514])).
% 48.67/31.60 tff(3542,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3543,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3544,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 48.67/31.60 tff(3545,plain,
% 48.67/31.60 (~v119(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3544, 2050, 3541])).
% 48.67/31.60 tff(3546,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3547,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3548,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 48.67/31.60 tff(3549,plain,
% 48.67/31.60 (~v123(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3548, 2072, 3541])).
% 48.67/31.60 tff(3550,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3551,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3552,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3551, 3550])).
% 48.67/31.60 tff(3553,plain,
% 48.67/31.60 (v130(constB23, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3552, 1729, 3229])).
% 48.67/31.60 tff(3554,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3555,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3556,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3555, 3554])).
% 48.67/31.60 tff(3557,plain,
% 48.67/31.60 ((~v130(constB23, 2)) | v127(constB23, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3556, 1328, 3237])).
% 48.67/31.60 tff(3558,plain,
% 48.67/31.60 (v127(constB23, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3557, 3553])).
% 48.67/31.60 tff(3559,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3560,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3561,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3560, 3559])).
% 48.67/31.60 tff(3562,plain,
% 48.67/31.60 ((~v127(constB23, 2)) | v129(constB24, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3561, 1343, 3245])).
% 48.67/31.60 tff(3563,plain,
% 48.67/31.60 (v129(constB24, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3562, 3558])).
% 48.67/31.60 tff(3564,plain,
% 48.67/31.60 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3565,plain,
% 48.67/31.60 ((v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2))) <=> (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3566,plain,
% 48.67/31.60 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))))),
% 48.67/31.60 inference(monotonicity,[status(thm)],[3565])).
% 48.67/31.60 tff(3567,plain,
% 48.67/31.60 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 48.67/31.60 inference(transitivity,[status(thm)],[3566, 3564])).
% 48.67/31.60 tff(3568,plain,
% 48.67/31.60 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3569,plain,
% 48.67/31.60 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3568, 3567])).
% 48.67/31.60 tff(3570,plain,
% 48.67/31.60 (v90(constB24, 2) | (~v129(constB24, 2))),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3569, 1358, 3506])).
% 48.67/31.60 tff(3571,plain,
% 48.67/31.60 (v90(constB24, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3570, 3563])).
% 48.67/31.60 tff(3572,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3573,plain,
% 48.67/31.60 (((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)) <=> ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3574,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)))),
% 48.67/31.60 inference(monotonicity,[status(thm)],[3573])).
% 48.67/31.60 tff(3575,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 48.67/31.60 inference(transitivity,[status(thm)],[3574, 3572])).
% 48.67/31.60 tff(3576,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3577,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 48.67/31.60 tff(3578,plain,
% 48.67/31.60 ((~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3577, 1394, 3520])).
% 48.67/31.60 tff(3579,plain,
% 48.67/31.60 ((~v90(constB24, 2)) | v90(constB25, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3578, 3532])).
% 48.67/31.60 tff(3580,plain,
% 48.67/31.60 (v90(constB25, 2)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3579, 3571])).
% 48.67/31.60 tff(3581,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3582,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3583,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 48.67/31.60 tff(3584,plain,
% 48.67/31.60 (~v121(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3583, 2028, 3580])).
% 48.67/31.60 tff(3585,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3586,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3587,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 48.67/31.60 tff(3588,plain,
% 48.67/31.60 (~v120(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3587, 2061, 3541])).
% 48.67/31.60 tff(3589,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3590,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3591,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3590, 3589])).
% 48.67/31.60 tff(3592,plain,
% 48.67/31.60 (~v122(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3591, 2039, 3580])).
% 48.67/31.60 tff(3593,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3594,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3595,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 48.67/31.60 tff(3596,plain,
% 48.67/31.60 (~v124(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3595, 2083, 3541])).
% 48.67/31.60 tff(3597,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3598,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3599,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3598, 3597])).
% 48.67/31.60 tff(3600,plain,
% 48.67/31.60 (~v130(constB25, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3599, 2156, 3596, 3592, 3588, 3584, 3549, 3545])).
% 48.67/31.60 tff(3601,assumption,(v26(constB25)), introduced(assumption)).
% 48.67/31.60 tff(3602,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3603,plain,
% 48.67/31.60 ($false),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3602, 43, 3601])).
% 48.67/31.60 tff(3604,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.60 tff(3605,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3606,plain,
% 48.67/31.60 ((v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1))) <=> ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3607,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)))),
% 48.67/31.60 inference(monotonicity,[status(thm)],[3606])).
% 48.67/31.60 tff(3608,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 48.67/31.60 inference(transitivity,[status(thm)],[3607, 3605])).
% 48.67/31.60 tff(3609,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3610,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 48.67/31.60 tff(3611,plain,
% 48.67/31.60 ((~v127(constB25, 1)) | v130(constB25, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3610, 408, 3604])).
% 48.67/31.60 tff(3612,plain,
% 48.67/31.60 (~v127(constB25, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3611, 3600])).
% 48.67/31.60 tff(3613,plain,
% 48.67/31.60 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3614,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 48.67/31.60 tff(3615,plain,
% 48.67/31.60 (nextState(constB25, constB26)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 48.67/31.60 tff(3616,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3617,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3618,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 48.67/31.60 tff(3619,plain,
% 48.67/31.60 (v127(constB25, 1) | (~v129(constB26, 1))),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3618, 438, 3615])).
% 48.67/31.60 tff(3620,plain,
% 48.67/31.60 (~v129(constB26, 1)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3619, 3612])).
% 48.67/31.60 tff(3621,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3622,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3623,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 48.67/31.60 tff(3624,plain,
% 48.67/31.60 (~v130(constB23, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3623, 1909, 3229])).
% 48.67/31.60 tff(3625,plain,
% 48.67/31.60 ((~v127(constB23, 0)) | v130(constB23, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3489, 930, 3237])).
% 48.67/31.60 tff(3626,plain,
% 48.67/31.60 (~v127(constB23, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3625, 3624])).
% 48.67/31.60 tff(3627,plain,
% 48.67/31.60 (~v129(constB24, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3478, 3626])).
% 48.67/31.60 tff(3628,plain,
% 48.67/31.60 ((~v90(constB24, 0)) | v129(constB24, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3472, 963, 3506])).
% 48.67/31.60 tff(3629,plain,
% 48.67/31.60 (~v90(constB24, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3628, 3627])).
% 48.67/31.60 tff(3630,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3631,plain,
% 48.67/31.60 (((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))) <=> (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3632,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))))),
% 48.67/31.60 inference(monotonicity,[status(thm)],[3631])).
% 48.67/31.60 tff(3633,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 48.67/31.60 inference(transitivity,[status(thm)],[3632, 3630])).
% 48.67/31.60 tff(3634,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3635,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 48.67/31.60 tff(3636,plain,
% 48.67/31.60 (v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3635, 164, 3520])).
% 48.67/31.60 tff(3637,plain,
% 48.67/31.60 (v90(constB24, 0) | (~v90(constB25, 0))),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3636, 3532])).
% 48.67/31.60 tff(3638,plain,
% 48.67/31.60 (~v90(constB25, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3637, 3629])).
% 48.67/31.60 tff(3639,assumption,(~v130(constB25, 0)), introduced(assumption)).
% 48.67/31.60 tff(3640,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB25)) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB25)) | v130(constB25, 0))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3641,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB25)) | v130(constB25, 0))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3642,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB25)) | v130(constB25, 0)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 48.67/31.60 tff(3643,plain,
% 48.67/31.60 (~v123(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3642, 1677, 3639])).
% 48.67/31.60 tff(3644,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB25)) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB25)) | v130(constB25, 0))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3645,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB25)) | v130(constB25, 0))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3646,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB25)) | v130(constB25, 0)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3645, 3644])).
% 48.67/31.60 tff(3647,plain,
% 48.67/31.60 (~v121(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3646, 1184, 3639])).
% 48.67/31.60 tff(3648,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB25)) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB25)) | v130(constB25, 0))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3649,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB25)) | v130(constB25, 0))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3650,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB25)) | v130(constB25, 0)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 48.67/31.60 tff(3651,plain,
% 48.67/31.60 (~v119(constB25)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3650, 501, 3639])).
% 48.67/31.60 tff(3652,assumption,(~v120(constB25)), introduced(assumption)).
% 48.67/31.60 tff(3653,assumption,(~v122(constB25)), introduced(assumption)).
% 48.67/31.60 tff(3654,assumption,(~v124(constB25)), introduced(assumption)).
% 48.67/31.60 tff(3655,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3656,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3657,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 48.67/31.60 tff(3658,plain,
% 48.67/31.60 (v119(constB25) | v121(constB25) | v123(constB25) | v130(constB25, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3657, 2200, 3654, 3653, 3652])).
% 48.67/31.60 tff(3659,plain,
% 48.67/31.60 ($false),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3658, 3651, 3647, 3643, 3639])).
% 48.67/31.60 tff(3660,plain,(v130(constB25, 0) | v124(constB25) | v122(constB25) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.60 tff(3661,plain,
% 48.67/31.60 (v130(constB25, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3660, 3596, 3588, 3592])).
% 48.67/31.60 tff(3662,plain,
% 48.67/31.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3663,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3664,plain,
% 48.67/31.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3663, 3662])).
% 48.67/31.60 tff(3665,plain,
% 48.67/31.60 ((~v130(constB25, 0)) | v127(constB25, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3664, 515, 3604])).
% 48.67/31.60 tff(3666,plain,
% 48.67/31.60 (v127(constB25, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3665, 3661])).
% 48.67/31.60 tff(3667,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3668,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3669,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3668, 3667])).
% 48.67/31.60 tff(3670,plain,
% 48.67/31.60 ((~v127(constB25, 0)) | v129(constB26, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3669, 530, 3615])).
% 48.67/31.60 tff(3671,plain,
% 48.67/31.60 (v129(constB26, 0)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3670, 3666])).
% 48.67/31.60 tff(3672,assumption,(~v90(constB27, 0)), introduced(assumption)).
% 48.67/31.60 tff(3673,plain,
% 48.67/31.60 ((~v1(constB27)) <=> (~v1(constB27))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3674,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 48.67/31.60 tff(3675,plain,
% 48.67/31.60 (~v1(constB27)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 48.67/31.60 tff(3676,plain,
% 48.67/31.60 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3677,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 48.67/31.60 tff(3678,plain,
% 48.67/31.60 (nextState(constB26, constB27)),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 48.67/31.60 tff(3679,plain,
% 48.67/31.60 (((~![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)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3680,plain,
% 48.67/31.60 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3681,plain,
% 48.67/31.60 (((~![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))))),
% 48.67/31.60 inference(monotonicity,[status(thm)],[3680])).
% 48.67/31.60 tff(3682,plain,
% 48.67/31.60 (((~![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)))),
% 48.67/31.60 inference(transitivity,[status(thm)],[3681, 3679])).
% 48.67/31.60 tff(3683,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3684,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 48.67/31.60 tff(3685,plain,
% 48.67/31.60 (~v101(constB27)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3684, 90, 3678, 3675])).
% 48.67/31.60 tff(3686,plain,
% 48.67/31.60 (((~![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)))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3687,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 48.67/31.60 inference(quant_inst,[status(thm)],[])).
% 48.67/31.60 tff(3688,plain,
% 48.67/31.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 48.67/31.60 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 48.67/31.60 tff(3689,plain,
% 48.67/31.60 (v101(constB27) | (~v100(constB27))),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3688, 107, 3678])).
% 48.67/31.60 tff(3690,plain,
% 48.67/31.60 (~v100(constB27)),
% 48.67/31.60 inference(unit_resolution,[status(thm)],[3689, 3685])).
% 48.67/31.60 tff(3691,plain,
% 48.67/31.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 48.67/31.60 inference(rewrite,[status(thm)],[])).
% 48.67/31.60 tff(3692,plain,
% 48.67/31.60 (((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)) <=> ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3693,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3692])).
% 48.67/31.61 tff(3694,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3693, 3691])).
% 48.67/31.61 tff(3695,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3696,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3695, 3694])).
% 48.67/31.61 tff(3697,plain,
% 48.67/31.61 ((~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3696, 563, 3678])).
% 48.67/31.61 tff(3698,plain,
% 48.67/31.61 ((~v90(constB26, 0)) | v90(constB27, 0)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3697, 3690])).
% 48.67/31.61 tff(3699,plain,
% 48.67/31.61 (~v90(constB26, 0)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3698, 3672])).
% 48.67/31.61 tff(3700,assumption,(~v100(constB26)), introduced(assumption)).
% 48.67/31.61 tff(3701,plain,
% 48.67/31.61 (((~![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)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3702,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3703,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 48.67/31.61 tff(3704,plain,
% 48.67/31.61 (~v104(constB26)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3703, 330, 3615, 3517])).
% 48.67/31.61 tff(3705,plain,
% 48.67/31.61 (((~![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)) | v102(constB26) | v104(constB26))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3706,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3707,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 48.67/31.61 tff(3708,plain,
% 48.67/31.61 (v102(constB26) | v104(constB26)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3707, 344, 3615])).
% 48.67/31.61 tff(3709,plain,
% 48.67/31.61 (v102(constB26)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3708, 3704])).
% 48.67/31.61 tff(3710,plain,
% 48.67/31.61 (v1(constB26) <=> v1(constB26)),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3711,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 48.67/31.61 tff(3712,plain,
% 48.67/31.61 (v1(constB26)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3711, 3710])).
% 48.67/31.61 tff(3713,plain,
% 48.67/31.61 (((~![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)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3714,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3715,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 48.67/31.61 tff(3716,plain,
% 48.67/31.61 (v101(constB26) | (~v102(constB26))),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3715, 362, 3615, 3712])).
% 48.67/31.61 tff(3717,plain,
% 48.67/31.61 (v101(constB26)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3716, 3709])).
% 48.67/31.61 tff(3718,plain,
% 48.67/31.61 (((~![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)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3719,plain,
% 48.67/31.61 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3720,plain,
% 48.67/31.61 (((~![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))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3719])).
% 48.67/31.61 tff(3721,plain,
% 48.67/31.61 (((~![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)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3720, 3718])).
% 48.67/31.61 tff(3722,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3723,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3722, 3721])).
% 48.67/31.61 tff(3724,plain,
% 48.67/31.61 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3723, 377, 3615])).
% 48.67/31.61 tff(3725,plain,
% 48.67/31.61 (v100(constB26) | (~v110(constB26))),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3724, 3717])).
% 48.67/31.61 tff(3726,plain,
% 48.67/31.61 (~v110(constB26)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3725, 3700])).
% 48.67/31.61 tff(3727,plain,
% 48.67/31.61 (((~![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)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3728,plain,
% 48.67/31.61 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3729,plain,
% 48.67/31.61 (((~![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))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3728])).
% 48.67/31.61 tff(3730,plain,
% 48.67/31.61 (((~![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)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3729, 3727])).
% 48.67/31.61 tff(3731,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3732,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3731, 3730])).
% 48.67/31.61 tff(3733,plain,
% 48.67/31.61 (v110(constB26) | (~v108(constB25))),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3732, 312, 3615])).
% 48.67/31.61 tff(3734,plain,
% 48.67/31.61 (~v108(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3733, 3726])).
% 48.67/31.61 tff(3735,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3736,plain,
% 48.67/31.61 (((~v112(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v112(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3737,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3736])).
% 48.67/31.61 tff(3738,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3737, 3735])).
% 48.67/31.61 tff(3739,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3740,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 48.67/31.61 tff(3741,plain,
% 48.67/31.61 (~v112(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3740, 292, 3734])).
% 48.67/31.61 tff(3742,plain,
% 48.67/31.61 (((~![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)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3743,plain,
% 48.67/31.61 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3744,plain,
% 48.67/31.61 (((~![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))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3743])).
% 48.67/31.61 tff(3745,plain,
% 48.67/31.61 (((~![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)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3744, 3742])).
% 48.67/31.61 tff(3746,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3747,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 48.67/31.61 tff(3748,plain,
% 48.67/31.61 (v112(constB25) | (~v113(constB25))),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3747, 280, 3604])).
% 48.67/31.61 tff(3749,plain,
% 48.67/31.61 (~v113(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3748, 3741])).
% 48.67/31.61 tff(3750,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB25)) | v113(constB25))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3751,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB25)) | v113(constB25))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3752,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB25)) | v113(constB25)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3751, 3750])).
% 48.67/31.61 tff(3753,plain,
% 48.67/31.61 (~v114(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3752, 266, 3749])).
% 48.67/31.61 tff(3754,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB25) | (~v115(constB25)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3755,plain,
% 48.67/31.61 (((~v115(constB25)) | v114(constB25)) <=> (v114(constB25) | (~v115(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3756,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB25) | (~v115(constB25))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3755])).
% 48.67/31.61 tff(3757,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3756, 3754])).
% 48.67/31.61 tff(3758,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3759,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 48.67/31.61 tff(3760,plain,
% 48.67/31.61 (~v115(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3759, 252, 3753])).
% 48.67/31.61 tff(3761,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v123(constB25)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3762,plain,
% 48.67/31.61 (((~v123(constB25)) | v115(constB25)) <=> (v115(constB25) | (~v123(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3763,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v123(constB25))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3762])).
% 48.67/31.61 tff(3764,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3763, 3761])).
% 48.67/31.61 tff(3765,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3766,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 48.67/31.61 tff(3767,plain,
% 48.67/31.61 (~v123(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3766, 1506, 3760])).
% 48.67/31.61 tff(3768,assumption,(~v121(constB27)), introduced(assumption)).
% 48.67/31.61 tff(3769,assumption,(~v90(constB27, 2)), introduced(assumption)).
% 48.67/31.61 tff(3770,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3771,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3772,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3771, 3770])).
% 48.67/31.61 tff(3773,plain,
% 48.67/31.61 (v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3772, 990, 3768])).
% 48.67/31.61 tff(3774,plain,
% 48.67/31.61 (~v90(constB27, 1)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3773, 3769, 3672])).
% 48.67/31.61 tff(3775,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3776,plain,
% 48.67/31.61 (((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0)) <=> ((~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3777,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0)))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3776])).
% 48.67/31.61 tff(3778,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3777, 3775])).
% 48.67/31.61 tff(3779,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3780,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3779, 3778])).
% 48.67/31.61 tff(3781,plain,
% 48.67/31.61 ((~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3780, 563, 3615])).
% 48.67/31.61 tff(3782,plain,
% 48.67/31.61 (~v90(constB25, 0)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3781, 3700, 3699])).
% 48.67/31.61 tff(3783,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3784,plain,
% 48.67/31.61 (((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2)) <=> ((~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3785,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2)))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3784])).
% 48.67/31.61 tff(3786,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3785, 3783])).
% 48.67/31.61 tff(3787,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3788,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3787, 3786])).
% 48.67/31.61 tff(3789,plain,
% 48.67/31.61 ((~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3788, 1394, 3678])).
% 48.67/31.61 tff(3790,plain,
% 48.67/31.61 ((~v90(constB26, 2)) | v90(constB27, 2)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3789, 3690])).
% 48.67/31.61 tff(3791,plain,
% 48.67/31.61 (~v90(constB26, 2)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3790, 3769])).
% 48.67/31.61 tff(3792,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v26(constB25)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v26(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3793,plain,
% 48.67/31.61 (((~v26(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v26(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3794,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v26(constB25))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3793])).
% 48.67/31.61 tff(3795,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v26(constB25)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3794, 3792])).
% 48.67/31.61 tff(3796,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB25)) | v108(constB25))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3797,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v26(constB25))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 48.67/31.61 tff(3798,plain,
% 48.67/31.61 (~v26(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3797, 1761, 3734])).
% 48.67/31.61 tff(3799,plain,
% 48.67/31.61 (~v113(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3747, 280, 3798, 3741])).
% 48.67/31.61 tff(3800,plain,
% 48.67/31.61 (~v114(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3752, 266, 3799])).
% 48.67/31.61 tff(3801,assumption,(~v90(constB26, 2)), introduced(assumption)).
% 48.67/31.61 tff(3802,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3803,plain,
% 48.67/31.61 (((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2)) <=> ((~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3804,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2)))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3803])).
% 48.67/31.61 tff(3805,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3804, 3802])).
% 48.67/31.61 tff(3806,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3807,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3806, 3805])).
% 48.67/31.61 tff(3808,plain,
% 48.67/31.61 ((~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3807, 1394, 3615])).
% 48.67/31.61 tff(3809,plain,
% 48.67/31.61 (~v90(constB25, 2)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3808, 3700, 3801])).
% 48.67/31.61 tff(3810,assumption,(~v90(constB26, 1)), introduced(assumption)).
% 48.67/31.61 tff(3811,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3812,plain,
% 48.67/31.61 (((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1)) <=> ((~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3813,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1)))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3812])).
% 48.67/31.61 tff(3814,plain,
% 48.67/31.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3813, 3811])).
% 48.67/31.61 tff(3815,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3816,plain,
% 48.67/31.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3815, 3814])).
% 48.67/31.61 tff(3817,plain,
% 48.67/31.61 ((~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3816, 900, 3615])).
% 48.67/31.61 tff(3818,plain,
% 48.67/31.61 (~v90(constB25, 1)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3817, 3700, 3810])).
% 48.67/31.61 tff(3819,assumption,(~v90(constB25, 0)), introduced(assumption)).
% 48.67/31.61 tff(3820,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3821,plain,
% 48.67/31.61 ((v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2)) <=> (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3822,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25)))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3821])).
% 48.67/31.61 tff(3823,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3822, 3820])).
% 48.67/31.61 tff(3824,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3825,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25)),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3824, 3823])).
% 48.67/31.61 tff(3826,plain,
% 48.67/31.61 (v90(constB25, 1) | v90(constB25, 2) | v119(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3825, 185, 3819])).
% 48.67/31.61 tff(3827,plain,
% 48.67/31.61 (v119(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3826, 3818, 3809])).
% 48.67/31.61 tff(3828,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v119(constB25)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3829,plain,
% 48.67/31.61 (((~v119(constB25)) | v118(constB25)) <=> (v118(constB25) | (~v119(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3830,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v119(constB25))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3829])).
% 48.67/31.61 tff(3831,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25)))),
% 48.67/31.61 inference(transitivity,[status(thm)],[3830, 3828])).
% 48.67/31.61 tff(3832,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))),
% 48.67/31.61 inference(quant_inst,[status(thm)],[])).
% 48.67/31.61 tff(3833,plain,
% 48.67/31.61 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25))),
% 48.67/31.61 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 48.67/31.61 tff(3834,plain,
% 48.67/31.61 (v118(constB25)),
% 48.67/31.61 inference(unit_resolution,[status(thm)],[3833, 199, 3827])).
% 48.67/31.61 tff(3835,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v118(constB25)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3836,plain,
% 48.67/31.61 (((~v118(constB25)) | v117(constB25)) <=> (v117(constB25) | (~v118(constB25)))),
% 48.67/31.61 inference(rewrite,[status(thm)],[])).
% 48.67/31.61 tff(3837,plain,
% 48.67/31.61 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v118(constB25))))),
% 48.67/31.61 inference(monotonicity,[status(thm)],[3836])).
% 48.67/31.62 tff(3838,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3837, 3835])).
% 48.67/31.62 tff(3839,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3840,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 48.67/31.62 tff(3841,plain,
% 48.67/31.62 (v117(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3840, 210, 3834])).
% 48.67/31.62 tff(3842,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v117(constB25)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3843,plain,
% 48.67/31.62 (((~v117(constB25)) | v116(constB25)) <=> (v116(constB25) | (~v117(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3844,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v117(constB25))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3843])).
% 48.67/31.62 tff(3845,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3844, 3842])).
% 48.67/31.62 tff(3846,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3847,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 48.67/31.62 tff(3848,plain,
% 48.67/31.62 (v116(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3847, 224, 3841])).
% 48.67/31.62 tff(3849,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v116(constB25)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3850,plain,
% 48.67/31.62 (((~v116(constB25)) | v115(constB25)) <=> (v115(constB25) | (~v116(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3851,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v116(constB25))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3850])).
% 48.67/31.62 tff(3852,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3851, 3849])).
% 48.67/31.62 tff(3853,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3854,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 48.67/31.62 tff(3855,plain,
% 48.67/31.62 (v115(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3854, 238, 3848])).
% 48.67/31.62 tff(3856,plain,
% 48.67/31.62 ($false),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3759, 252, 3855, 3800])).
% 48.67/31.62 tff(3857,plain,(v100(constB26) | v90(constB25, 0) | v90(constB26, 1) | v90(constB26, 2)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.62 tff(3858,plain,
% 48.67/31.62 (v90(constB26, 1)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3857, 3791, 3700, 3782])).
% 48.67/31.62 tff(3859,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3860,plain,
% 48.67/31.62 (((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1)) <=> ((~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3861,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1)))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3860])).
% 48.67/31.62 tff(3862,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3861, 3859])).
% 48.67/31.62 tff(3863,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3864,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1)),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 48.67/31.62 tff(3865,plain,
% 48.67/31.62 ((~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3864, 900, 3678])).
% 48.67/31.62 tff(3866,plain,
% 48.67/31.62 ((~v90(constB26, 1)) | v90(constB27, 1)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3865, 3690])).
% 48.67/31.62 tff(3867,plain,
% 48.67/31.62 ($false),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3866, 3858, 3774])).
% 48.67/31.62 tff(3868,plain,(v90(constB27, 2) | v100(constB26) | v90(constB27, 0) | v121(constB27)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.62 tff(3869,plain,
% 48.67/31.62 (v90(constB27, 2)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3868, 3700, 3672, 3768])).
% 48.67/31.62 tff(3870,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3871,plain,
% 48.67/31.62 (((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))) <=> (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3872,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3871])).
% 48.67/31.62 tff(3873,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3872, 3870])).
% 48.67/31.62 tff(3874,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3875,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3874, 3873])).
% 48.67/31.62 tff(3876,plain,
% 48.67/31.62 (v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3875, 122, 3678])).
% 48.67/31.62 tff(3877,plain,
% 48.67/31.62 (v90(constB26, 2) | (~v90(constB27, 2))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3876, 3690])).
% 48.67/31.62 tff(3878,plain,
% 48.67/31.62 (v90(constB26, 2)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3877, 3869])).
% 48.67/31.62 tff(3879,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3880,plain,
% 48.67/31.62 (((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2))) <=> (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3881,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3880])).
% 48.67/31.62 tff(3882,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3881, 3879])).
% 48.67/31.62 tff(3883,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3884,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 48.67/31.62 tff(3885,plain,
% 48.67/31.62 (v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3884, 122, 3615])).
% 48.67/31.62 tff(3886,plain,
% 48.67/31.62 (v90(constB25, 2)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3885, 3878, 3700])).
% 48.67/31.62 tff(3887,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3888,plain,
% 48.67/31.62 (((~v125(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v125(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3889,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3888])).
% 48.67/31.62 tff(3890,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3889, 3887])).
% 48.67/31.62 tff(3891,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3892,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3891, 3890])).
% 48.67/31.62 tff(3893,plain,
% 48.67/31.62 (~v125(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3892, 1964, 3749])).
% 48.67/31.62 tff(3894,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3895,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3896,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25)),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 48.67/31.62 tff(3897,plain,
% 48.67/31.62 ((~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3896, 1953, 3782])).
% 48.67/31.62 tff(3898,plain,
% 48.67/31.62 (~v90(constB25, 1)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3897, 3886, 3893])).
% 48.67/31.62 tff(3899,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3900,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3901,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25)),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3900, 3899])).
% 48.67/31.62 tff(3902,plain,
% 48.67/31.62 (v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3901, 1495, 3782])).
% 48.67/31.62 tff(3903,plain,
% 48.67/31.62 ($false),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3902, 3898, 3886, 3767])).
% 48.67/31.62 tff(3904,plain,(v100(constB26) | v90(constB27, 0) | v121(constB27)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.62 tff(3905,plain,
% 48.67/31.62 (v121(constB27)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3904, 3700, 3672])).
% 48.67/31.62 tff(3906,plain,
% 48.67/31.62 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ((~v121(VarCurr)) | v90(VarCurr, 1)))),
% 48.67/31.62 inference(bind,[status(th)],[])).
% 48.67/31.62 tff(3907,plain,
% 48.67/31.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 48.67/31.62 inference(quant_intro,[status(thm)],[3906])).
% 48.67/31.62 tff(3908,plain,
% 48.67/31.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3909,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 48.67/31.62 tff(3910,plain,
% 48.67/31.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3909, 3908])).
% 48.67/31.62 tff(3911,plain,(
% 48.67/31.62 ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 48.67/31.62 inference(skolemize,[status(sab)],[3910])).
% 48.67/31.62 tff(3912,plain,
% 48.67/31.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3911, 3907])).
% 48.67/31.62 tff(3913,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB27)) | v90(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB27)) | v90(constB27, 1))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3914,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB27)) | v90(constB27, 1))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3915,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB27)) | v90(constB27, 1)),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3914, 3913])).
% 48.67/31.62 tff(3916,plain,
% 48.67/31.62 (v90(constB27, 1)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3915, 3912, 3905])).
% 48.67/31.62 tff(3917,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3918,plain,
% 48.67/31.62 (((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))) <=> (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3919,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3918])).
% 48.67/31.62 tff(3920,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3919, 3917])).
% 48.67/31.62 tff(3921,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3922,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 48.67/31.62 tff(3923,plain,
% 48.67/31.62 (v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3922, 143, 3678])).
% 48.67/31.62 tff(3924,plain,
% 48.67/31.62 (v90(constB26, 1) | (~v90(constB27, 1))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3923, 3690])).
% 48.67/31.62 tff(3925,plain,
% 48.67/31.62 (v90(constB26, 1)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3924, 3916])).
% 48.67/31.62 tff(3926,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3927,plain,
% 48.67/31.62 (((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1))) <=> (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3928,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3927])).
% 48.67/31.62 tff(3929,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3928, 3926])).
% 48.67/31.62 tff(3930,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3931,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 48.67/31.62 tff(3932,plain,
% 48.67/31.62 (v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3931, 143, 3615])).
% 48.67/31.62 tff(3933,plain,
% 48.67/31.62 (v90(constB25, 1)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3932, 3925, 3700])).
% 48.67/31.62 tff(3934,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB27)) | (~v90(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB27)) | (~v90(constB27, 2)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3935,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB27)) | (~v90(constB27, 2)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3936,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB27)) | (~v90(constB27, 2))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 48.67/31.62 tff(3937,plain,
% 48.67/31.62 (~v90(constB27, 2)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3936, 2028, 3905])).
% 48.67/31.62 tff(3938,plain,
% 48.67/31.62 (~v90(constB26, 2)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3790, 3937])).
% 48.67/31.62 tff(3939,plain,
% 48.67/31.62 (~v90(constB25, 2)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3808, 3938, 3700])).
% 48.67/31.62 tff(3940,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3941,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3942,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25)),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 48.67/31.62 tff(3943,plain,
% 48.67/31.62 ((~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3942, 990, 3782])).
% 48.67/31.62 tff(3944,plain,
% 48.67/31.62 (v121(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3943, 3939, 3933])).
% 48.67/31.62 tff(3945,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v121(constB25)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3946,plain,
% 48.67/31.62 (((~v121(constB25)) | v117(constB25)) <=> (v117(constB25) | (~v121(constB25)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3947,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v121(constB25))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3946])).
% 48.67/31.62 tff(3948,plain,
% 48.67/31.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3947, 3945])).
% 48.67/31.62 tff(3949,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3950,plain,
% 48.67/31.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 48.67/31.62 tff(3951,plain,
% 48.67/31.62 (v117(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3950, 1001, 3944])).
% 48.67/31.62 tff(3952,plain,
% 48.67/31.62 (v116(constB25)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3847, 224, 3951])).
% 48.67/31.62 tff(3953,plain,
% 48.67/31.62 ($false),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3854, 238, 3760, 3952])).
% 48.67/31.62 tff(3954,plain,(v100(constB26) | v90(constB27, 0)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.62 tff(3955,plain,
% 48.67/31.62 (v100(constB26)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3954, 3672])).
% 48.67/31.62 tff(3956,assumption,(v129(constB26, 0)), introduced(assumption)).
% 48.67/31.62 tff(3957,plain,
% 48.67/31.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3958,plain,
% 48.67/31.62 ((v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0))) <=> (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3959,plain,
% 48.67/31.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3958])).
% 48.67/31.62 tff(3960,plain,
% 48.67/31.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3959, 3957])).
% 48.67/31.62 tff(3961,plain,
% 48.67/31.62 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3962,plain,
% 48.67/31.62 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 48.67/31.62 tff(3963,plain,
% 48.67/31.62 (v90(constB26, 0) | (~v100(constB26))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3962, 545, 3956])).
% 48.67/31.62 tff(3964,plain,
% 48.67/31.62 ($false),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3963, 3955, 3699])).
% 48.67/31.62 tff(3965,plain,(v90(constB27, 0) | (~v129(constB26, 0))), inference(lemma,lemma(discharge,[]))).
% 48.67/31.62 tff(3966,plain,
% 48.67/31.62 (v90(constB27, 0)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3965, 3671])).
% 48.67/31.62 tff(3967,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3968,plain,
% 48.67/31.62 (((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0))) <=> (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3969,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3968])).
% 48.67/31.62 tff(3970,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3969, 3967])).
% 48.67/31.62 tff(3971,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3972,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 48.67/31.62 tff(3973,plain,
% 48.67/31.62 (v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3972, 164, 3678])).
% 48.67/31.62 tff(3974,plain,
% 48.67/31.62 (v90(constB26, 0) | (~v90(constB27, 0))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3973, 3690])).
% 48.67/31.62 tff(3975,plain,
% 48.67/31.62 (v90(constB26, 0)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3974, 3966])).
% 48.67/31.62 tff(3976,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3977,plain,
% 48.67/31.62 (((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0))) <=> (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3978,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0))))),
% 48.67/31.62 inference(monotonicity,[status(thm)],[3977])).
% 48.67/31.62 tff(3979,plain,
% 48.67/31.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 48.67/31.62 inference(transitivity,[status(thm)],[3978, 3976])).
% 48.67/31.62 tff(3980,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))),
% 48.67/31.62 inference(quant_inst,[status(thm)],[])).
% 48.67/31.62 tff(3981,plain,
% 48.67/31.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0))),
% 48.67/31.62 inference(modus_ponens,[status(thm)],[3980, 3979])).
% 48.67/31.62 tff(3982,plain,
% 48.67/31.62 (v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0))),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3981, 164, 3615])).
% 48.67/31.62 tff(3983,plain,
% 48.67/31.62 (v100(constB26)),
% 48.67/31.62 inference(unit_resolution,[status(thm)],[3982, 3975, 3638])).
% 48.67/31.62 tff(3984,plain,
% 48.67/31.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3985,plain,
% 48.67/31.62 (((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1)) <=> ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 48.67/31.62 inference(rewrite,[status(thm)],[])).
% 48.67/31.62 tff(3986,plain,
% 48.67/31.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[3985])).
% 48.67/31.63 tff(3987,plain,
% 48.67/31.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[3986, 3984])).
% 48.67/31.63 tff(3988,plain,
% 48.67/31.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(3989,plain,
% 48.67/31.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 48.67/31.63 tff(3990,plain,
% 48.67/31.63 ((~v90(constB26, 1)) | v129(constB26, 1)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[3989, 453, 3983])).
% 48.67/31.63 tff(3991,plain,
% 48.67/31.63 (~v90(constB26, 1)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[3990, 3620])).
% 48.67/31.63 tff(3992,plain,
% 48.67/31.63 (~v90(constB27, 1)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[3924, 3991])).
% 48.67/31.63 tff(3993,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(3994,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(3995,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[3994, 3993])).
% 48.67/31.63 tff(3996,plain,
% 48.67/31.63 (~v130(constB25, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[3995, 2097, 3596, 3592, 3588, 3584, 3549, 3545])).
% 48.67/31.63 tff(3997,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(3998,plain,
% 48.67/31.63 ((v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2))) <=> ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(3999,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[3998])).
% 48.67/31.63 tff(4000,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 48.67/31.63 inference(transitivity,[status(thm)],[3999, 3997])).
% 48.67/31.63 tff(4001,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4002,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 48.67/31.63 tff(4003,plain,
% 48.67/31.63 ((~v127(constB25, 2)) | v130(constB25, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4002, 593, 3604])).
% 48.67/31.63 tff(4004,plain,
% 48.67/31.63 (~v127(constB25, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4003, 3996])).
% 48.67/31.63 tff(4005,plain,
% 48.67/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4006,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4007,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 48.67/31.63 tff(4008,plain,
% 48.67/31.63 (v127(constB25, 2) | (~v129(constB26, 2))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4007, 611, 3615])).
% 48.67/31.63 tff(4009,plain,
% 48.67/31.63 (~v129(constB26, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4008, 4004])).
% 48.67/31.63 tff(4010,plain,
% 48.67/31.63 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4011,plain,
% 48.67/31.63 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4012,plain,
% 48.67/31.63 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 48.67/31.63 tff(4013,plain,
% 48.67/31.63 ((~v90(constB26, 2)) | v129(constB26, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4012, 626, 3983])).
% 48.67/31.63 tff(4014,plain,
% 48.67/31.63 (~v90(constB26, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4013, 4009])).
% 48.67/31.63 tff(4015,plain,
% 48.67/31.63 (~v90(constB27, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[3877, 4014])).
% 48.67/31.63 tff(4016,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4017,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4018,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4017, 4016])).
% 48.67/31.63 tff(4019,plain,
% 48.67/31.63 (v90(constB27, 1) | v90(constB27, 2) | v120(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4018, 651, 3966])).
% 48.67/31.63 tff(4020,plain,
% 48.67/31.63 (v120(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4019, 4015, 3992])).
% 48.67/31.63 tff(4021,assumption,(v120(constB27)), introduced(assumption)).
% 48.67/31.63 tff(4022,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4023,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4024,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4023, 4022])).
% 48.67/31.63 tff(4025,plain,
% 48.67/31.63 (v118(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4024, 665, 4021])).
% 48.67/31.63 tff(4026,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4027,plain,
% 48.67/31.63 (((~v118(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v118(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4028,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4027])).
% 48.67/31.63 tff(4029,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4028, 4026])).
% 48.67/31.63 tff(4030,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4031,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4030, 4029])).
% 48.67/31.63 tff(4032,plain,
% 48.67/31.63 (v117(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4031, 210, 4025])).
% 48.67/31.63 tff(4033,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4034,plain,
% 48.67/31.63 (((~v117(constB27)) | v116(constB27)) <=> (v116(constB27) | (~v117(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4035,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4034])).
% 48.67/31.63 tff(4036,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4035, 4033])).
% 48.67/31.63 tff(4037,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4038,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 48.67/31.63 tff(4039,plain,
% 48.67/31.63 (v116(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4038, 224, 4032])).
% 48.67/31.63 tff(4040,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4041,plain,
% 48.67/31.63 (((~v116(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v116(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4042,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4041])).
% 48.67/31.63 tff(4043,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4042, 4040])).
% 48.67/31.63 tff(4044,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4045,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4044, 4043])).
% 48.67/31.63 tff(4046,plain,
% 48.67/31.63 (v115(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4045, 238, 4039])).
% 48.67/31.63 tff(4047,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4048,plain,
% 48.67/31.63 (((~v115(constB27)) | v114(constB27)) <=> (v114(constB27) | (~v115(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4049,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4048])).
% 48.67/31.63 tff(4050,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4049, 4047])).
% 48.67/31.63 tff(4051,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4052,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 48.67/31.63 tff(4053,plain,
% 48.67/31.63 (v114(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4052, 252, 4046])).
% 48.67/31.63 tff(4054,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB27)) | v113(constB27))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4055,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4056,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB27)) | v113(constB27)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4055, 4054])).
% 48.67/31.63 tff(4057,plain,
% 48.67/31.63 (v113(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4056, 266, 4053])).
% 48.67/31.63 tff(4058,assumption,(v26(constB27)), introduced(assumption)).
% 48.67/31.63 tff(4059,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4060,plain,
% 48.67/31.63 ($false),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4059, 43, 4058])).
% 48.67/31.63 tff(4061,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.63 tff(4062,plain,
% 48.67/31.63 (((~![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))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4063,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4064,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4063, 4062])).
% 48.67/31.63 tff(4065,plain,
% 48.67/31.63 ((~v113(constB27)) | v112(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4064, 280, 4061])).
% 48.67/31.63 tff(4066,plain,
% 48.67/31.63 (v112(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4065, 4057])).
% 48.67/31.63 tff(4067,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4068,plain,
% 48.67/31.63 (((~v112(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v112(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4069,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4068])).
% 48.67/31.63 tff(4070,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4069, 4067])).
% 48.67/31.63 tff(4071,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4072,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4071, 4070])).
% 48.67/31.63 tff(4073,plain,
% 48.67/31.63 (v108(constB27)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4072, 292, 4066])).
% 48.67/31.63 tff(4074,plain,
% 48.67/31.63 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4075,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 48.67/31.63 tff(4076,plain,
% 48.67/31.63 (nextState(constB27, constB28)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4075, 4074])).
% 48.67/31.63 tff(4077,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4078,plain,
% 48.67/31.63 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4079,plain,
% 48.67/31.63 (((~![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))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4078])).
% 48.67/31.63 tff(4080,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4079, 4077])).
% 48.67/31.63 tff(4081,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4082,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4081, 4080])).
% 48.67/31.63 tff(4083,plain,
% 48.67/31.63 (v110(constB28) | (~v108(constB27))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4082, 312, 4076])).
% 48.67/31.63 tff(4084,plain,
% 48.67/31.63 (v110(constB28)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4083, 4073])).
% 48.67/31.63 tff(4085,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4086,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4087,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 48.67/31.63 tff(4088,plain,
% 48.67/31.63 (~v104(constB28)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4087, 330, 4076, 3675])).
% 48.67/31.63 tff(4089,plain,
% 48.67/31.63 (((~![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)) | v102(constB28) | v104(constB28))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4090,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4091,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4090, 4089])).
% 48.67/31.63 tff(4092,plain,
% 48.67/31.63 (v102(constB28) | v104(constB28)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4091, 344, 4076])).
% 48.67/31.63 tff(4093,plain,
% 48.67/31.63 (v102(constB28)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4092, 4088])).
% 48.67/31.63 tff(4094,plain,
% 48.67/31.63 (v1(constB28) <=> v1(constB28)),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4095,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 48.67/31.63 tff(4096,plain,
% 48.67/31.63 (v1(constB28)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 48.67/31.63 tff(4097,plain,
% 48.67/31.63 (((~![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)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4098,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4099,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 48.67/31.63 tff(4100,plain,
% 48.67/31.63 (v101(constB28) | (~v102(constB28))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4099, 362, 4076, 4096])).
% 48.67/31.63 tff(4101,plain,
% 48.67/31.63 (v101(constB28)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4100, 4093])).
% 48.67/31.63 tff(4102,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4103,plain,
% 48.67/31.63 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4104,plain,
% 48.67/31.63 (((~![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))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4103])).
% 48.67/31.63 tff(4105,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4104, 4102])).
% 48.67/31.63 tff(4106,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4107,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4106, 4105])).
% 48.67/31.63 tff(4108,plain,
% 48.67/31.63 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4107, 377, 4076])).
% 48.67/31.63 tff(4109,plain,
% 48.67/31.63 (v100(constB28) | (~v110(constB28))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4108, 4101])).
% 48.67/31.63 tff(4110,plain,
% 48.67/31.63 (v100(constB28)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4109, 4084])).
% 48.67/31.63 tff(4111,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4112,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4113,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 48.67/31.63 tff(4114,plain,
% 48.67/31.63 (~v130(constB27, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4113, 767, 4021])).
% 48.67/31.63 tff(4115,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4116,plain,
% 48.67/31.63 ((v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2))) <=> ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4117,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4116])).
% 48.67/31.63 tff(4118,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4117, 4115])).
% 48.67/31.63 tff(4119,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4120,plain,
% 48.67/31.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 48.67/31.63 tff(4121,plain,
% 48.67/31.63 ((~v127(constB27, 2)) | v130(constB27, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4120, 593, 4061])).
% 48.67/31.63 tff(4122,plain,
% 48.67/31.63 (~v127(constB27, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4121, 4114])).
% 48.67/31.63 tff(4123,plain,
% 48.67/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4124,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4125,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4124, 4123])).
% 48.67/31.63 tff(4126,plain,
% 48.67/31.63 (v127(constB27, 2) | (~v129(constB28, 2))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4125, 611, 4076])).
% 48.67/31.63 tff(4127,plain,
% 48.67/31.63 (~v129(constB28, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4126, 4122])).
% 48.67/31.63 tff(4128,plain,
% 48.67/31.63 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4129,plain,
% 48.67/31.63 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4130,plain,
% 48.67/31.63 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4129, 4128])).
% 48.67/31.63 tff(4131,plain,
% 48.67/31.63 ((~v90(constB28, 2)) | (~v100(constB28))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4130, 626, 4127])).
% 48.67/31.63 tff(4132,plain,
% 48.67/31.63 (~v90(constB28, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4131, 4110])).
% 48.67/31.63 tff(4133,plain,
% 48.67/31.63 ((~v1(constB29)) <=> (~v1(constB29))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4134,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 48.67/31.63 tff(4135,plain,
% 48.67/31.63 (~v1(constB29)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 48.67/31.63 tff(4136,plain,
% 48.67/31.63 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4137,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 48.67/31.63 tff(4138,plain,
% 48.67/31.63 (nextState(constB28, constB29)),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 48.67/31.63 tff(4139,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4140,plain,
% 48.67/31.63 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4141,plain,
% 48.67/31.63 (((~![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))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4140])).
% 48.67/31.63 tff(4142,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4141, 4139])).
% 48.67/31.63 tff(4143,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4144,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4143, 4142])).
% 48.67/31.63 tff(4145,plain,
% 48.67/31.63 (~v101(constB29)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4144, 90, 4138, 4135])).
% 48.67/31.63 tff(4146,plain,
% 48.67/31.63 (((~![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)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4147,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4148,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 48.67/31.63 tff(4149,plain,
% 48.67/31.63 (v101(constB29) | (~v100(constB29))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4148, 107, 4138])).
% 48.67/31.63 tff(4150,plain,
% 48.67/31.63 (~v100(constB29)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4149, 4145])).
% 48.67/31.63 tff(4151,plain,
% 48.67/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4152,plain,
% 48.67/31.63 (((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))) <=> (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4153,plain,
% 48.67/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4152])).
% 48.67/31.63 tff(4154,plain,
% 48.67/31.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4153, 4151])).
% 48.67/31.63 tff(4155,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))),
% 48.67/31.63 inference(quant_inst,[status(thm)],[])).
% 48.67/31.63 tff(4156,plain,
% 48.67/31.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))),
% 48.67/31.63 inference(modus_ponens,[status(thm)],[4155, 4154])).
% 48.67/31.63 tff(4157,plain,
% 48.67/31.63 (v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4156, 122, 4138])).
% 48.67/31.63 tff(4158,plain,
% 48.67/31.63 (v90(constB28, 2) | (~v90(constB29, 2))),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4157, 4150])).
% 48.67/31.63 tff(4159,plain,
% 48.67/31.63 (~v90(constB29, 2)),
% 48.67/31.63 inference(unit_resolution,[status(thm)],[4158, 4132])).
% 48.67/31.63 tff(4160,assumption,(~v116(constB29)), introduced(assumption)).
% 48.67/31.63 tff(4161,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4162,plain,
% 48.67/31.63 (((~v117(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v117(constB29)))),
% 48.67/31.63 inference(rewrite,[status(thm)],[])).
% 48.67/31.63 tff(4163,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29))))),
% 48.67/31.63 inference(monotonicity,[status(thm)],[4162])).
% 48.67/31.63 tff(4164,plain,
% 48.67/31.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 48.67/31.63 inference(transitivity,[status(thm)],[4163, 4161])).
% 48.67/31.64 tff(4165,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4166,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 48.67/31.64 tff(4167,plain,
% 48.67/31.64 (~v117(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4166, 224, 4160])).
% 48.67/31.64 tff(4168,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB29)) | v117(constB29))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4169,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4170,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB29)) | v117(constB29)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 48.67/31.64 tff(4171,plain,
% 48.67/31.64 (~v118(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4170, 210, 4167])).
% 48.67/31.64 tff(4172,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v120(constB29)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v120(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4173,plain,
% 48.67/31.64 (((~v120(constB29)) | v118(constB29)) <=> (v118(constB29) | (~v120(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4174,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v120(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4173])).
% 48.67/31.64 tff(4175,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v120(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4174, 4172])).
% 48.67/31.64 tff(4176,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4177,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v120(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4176, 4175])).
% 48.67/31.64 tff(4178,plain,
% 48.67/31.64 (~v120(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4177, 665, 4171])).
% 48.67/31.64 tff(4179,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4180,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4181,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 48.67/31.64 tff(4182,plain,
% 48.67/31.64 (~v121(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4181, 1001, 4167])).
% 48.67/31.64 tff(4183,assumption,(~v90(constB29, 2)), introduced(assumption)).
% 48.67/31.64 tff(4184,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v119(constB29)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v119(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4185,plain,
% 48.67/31.64 (((~v119(constB29)) | v118(constB29)) <=> (v118(constB29) | (~v119(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4186,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v119(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4185])).
% 48.67/31.64 tff(4187,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v119(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4186, 4184])).
% 48.67/31.64 tff(4188,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4189,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v119(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 48.67/31.64 tff(4190,plain,
% 48.67/31.64 (~v119(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4189, 199, 4171])).
% 48.67/31.64 tff(4191,assumption,(~v119(constB29)), introduced(assumption)).
% 48.67/31.64 tff(4192,assumption,(~v90(constB29, 0)), introduced(assumption)).
% 48.67/31.64 tff(4193,assumption,(~v121(constB29)), introduced(assumption)).
% 48.67/31.64 tff(4194,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4195,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4196,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4195, 4194])).
% 48.67/31.64 tff(4197,plain,
% 48.67/31.64 (v90(constB29, 0) | (~v90(constB29, 1)) | v121(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4196, 990, 4183])).
% 48.67/31.64 tff(4198,plain,
% 48.67/31.64 (~v90(constB29, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4197, 4192, 4193])).
% 48.67/31.64 tff(4199,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4200,plain,
% 48.67/31.64 ((v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2)) <=> (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4201,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4200])).
% 48.67/31.64 tff(4202,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4201, 4199])).
% 48.67/31.64 tff(4203,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4204,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 48.67/31.64 tff(4205,plain,
% 48.67/31.64 (v90(constB29, 0) | v90(constB29, 1) | v119(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4204, 185, 4183])).
% 48.67/31.64 tff(4206,plain,
% 48.67/31.64 ($false),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4205, 4198, 4192, 4191])).
% 48.67/31.64 tff(4207,plain,(v90(constB29, 0) | v119(constB29) | v90(constB29, 2) | v121(constB29)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.64 tff(4208,plain,
% 48.67/31.64 (v90(constB29, 0)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4207, 4190, 4183, 4182])).
% 48.67/31.64 tff(4209,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v122(constB29)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v122(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4210,plain,
% 48.67/31.64 (((~v122(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v122(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4211,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v122(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4210])).
% 48.67/31.64 tff(4212,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v122(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4211, 4209])).
% 48.67/31.64 tff(4213,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4214,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v122(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4213, 4212])).
% 48.67/31.64 tff(4215,plain,
% 48.67/31.64 (~v122(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4214, 1236, 4160])).
% 48.67/31.64 tff(4216,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4217,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4218,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 48.67/31.64 tff(4219,plain,
% 48.67/31.64 ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v122(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4218, 1225, 4183])).
% 48.67/31.64 tff(4220,plain,
% 48.67/31.64 (~v90(constB29, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4219, 4208, 4215])).
% 48.67/31.64 tff(4221,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4222,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4223,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 48.67/31.64 tff(4224,plain,
% 48.67/31.64 ((~v90(constB29, 0)) | v90(constB29, 1) | v120(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4223, 651, 4183])).
% 48.67/31.64 tff(4225,plain,
% 48.67/31.64 ($false),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4224, 4220, 4208, 4178])).
% 48.67/31.64 tff(4226,plain,(v116(constB29) | v90(constB29, 2)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.64 tff(4227,plain,
% 48.67/31.64 (v116(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4226, 4159])).
% 48.67/31.64 tff(4228,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4229,plain,
% 48.67/31.64 (((~v116(constB29)) | v115(constB29)) <=> (v115(constB29) | (~v116(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4230,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v116(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4229])).
% 48.67/31.64 tff(4231,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4230, 4228])).
% 48.67/31.64 tff(4232,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4233,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 48.67/31.64 tff(4234,plain,
% 48.67/31.64 (v115(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4233, 238, 4227])).
% 48.67/31.64 tff(4235,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4236,plain,
% 48.67/31.64 (((~v115(constB29)) | v114(constB29)) <=> (v114(constB29) | (~v115(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4237,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4236])).
% 48.67/31.64 tff(4238,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4237, 4235])).
% 48.67/31.64 tff(4239,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4240,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4239, 4238])).
% 48.67/31.64 tff(4241,plain,
% 48.67/31.64 (v114(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4240, 252, 4234])).
% 48.67/31.64 tff(4242,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4243,plain,
% 48.67/31.64 (((~v114(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v114(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4244,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4243])).
% 48.67/31.64 tff(4245,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4244, 4242])).
% 48.67/31.64 tff(4246,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4247,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 48.67/31.64 tff(4248,plain,
% 48.67/31.64 (v113(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4247, 266, 4241])).
% 48.67/31.64 tff(4249,assumption,(~v108(constB29)), introduced(assumption)).
% 48.67/31.64 tff(4250,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4251,plain,
% 48.67/31.64 (((~v112(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v112(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4252,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4251])).
% 48.67/31.64 tff(4253,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4252, 4250])).
% 48.67/31.64 tff(4254,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4255,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 48.67/31.64 tff(4256,plain,
% 48.67/31.64 (~v112(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4255, 292, 4249])).
% 48.67/31.64 tff(4257,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v26(constB29)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v26(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4258,plain,
% 48.67/31.64 (((~v26(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v26(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4259,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v26(constB29))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4258])).
% 48.67/31.64 tff(4260,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v26(constB29)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4259, 4257])).
% 48.67/31.64 tff(4261,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB29)) | v108(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4262,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v26(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 48.67/31.64 tff(4263,plain,
% 48.67/31.64 (~v26(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4262, 1761, 4249])).
% 48.67/31.64 tff(4264,assumption,(v113(constB29)), introduced(assumption)).
% 48.67/31.64 tff(4265,plain,
% 48.67/31.64 (((~![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)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4266,plain,
% 48.67/31.64 ((v26(constB29) | (~v113(constB29)) | v112(constB29)) <=> (v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4267,plain,
% 48.67/31.64 (((~![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))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4266])).
% 48.67/31.64 tff(4268,plain,
% 48.67/31.64 (((~![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)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4267, 4265])).
% 48.67/31.64 tff(4269,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4270,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 48.67/31.64 tff(4271,plain,
% 48.67/31.64 (v26(constB29) | v112(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4270, 280, 4264])).
% 48.67/31.64 tff(4272,plain,
% 48.67/31.64 ($false),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4271, 4263, 4256])).
% 48.67/31.64 tff(4273,plain,(v108(constB29) | (~v113(constB29))), inference(lemma,lemma(discharge,[]))).
% 48.67/31.64 tff(4274,plain,
% 48.67/31.64 (v108(constB29)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4273, 4248])).
% 48.67/31.64 tff(4275,plain,
% 48.67/31.64 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4276,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 48.67/31.64 tff(4277,plain,
% 48.67/31.64 (nextState(constB29, constB30)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 48.67/31.64 tff(4278,plain,
% 48.67/31.64 (((~![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)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4279,plain,
% 48.67/31.64 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4280,plain,
% 48.67/31.64 (((~![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))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4279])).
% 48.67/31.64 tff(4281,plain,
% 48.67/31.64 (((~![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)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4280, 4278])).
% 48.67/31.64 tff(4282,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4283,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 48.67/31.64 tff(4284,plain,
% 48.67/31.64 (v110(constB30) | (~v108(constB29))),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4283, 312, 4277])).
% 48.67/31.64 tff(4285,plain,
% 48.67/31.64 (v110(constB30)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4284, 4274])).
% 48.67/31.64 tff(4286,plain,
% 48.67/31.64 (((~![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)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4287,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4288,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 48.67/31.64 tff(4289,plain,
% 48.67/31.64 (~v104(constB30)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4288, 330, 4277, 4135])).
% 48.67/31.64 tff(4290,plain,
% 48.67/31.64 (((~![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)) | v102(constB30) | v104(constB30))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4291,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4292,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4291, 4290])).
% 48.67/31.64 tff(4293,plain,
% 48.67/31.64 (v102(constB30) | v104(constB30)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4292, 344, 4277])).
% 48.67/31.64 tff(4294,plain,
% 48.67/31.64 (v102(constB30)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4293, 4289])).
% 48.67/31.64 tff(4295,plain,
% 48.67/31.64 (v1(constB30) <=> v1(constB30)),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4296,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 48.67/31.64 tff(4297,plain,
% 48.67/31.64 (v1(constB30)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 48.67/31.64 tff(4298,plain,
% 48.67/31.64 (((~![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)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4299,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4300,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 48.67/31.64 tff(4301,plain,
% 48.67/31.64 (v101(constB30) | (~v102(constB30))),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4300, 362, 4277, 4297])).
% 48.67/31.64 tff(4302,plain,
% 48.67/31.64 (v101(constB30)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4301, 4294])).
% 48.67/31.64 tff(4303,plain,
% 48.67/31.64 (((~![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)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4304,plain,
% 48.67/31.64 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4305,plain,
% 48.67/31.64 (((~![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))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4304])).
% 48.67/31.64 tff(4306,plain,
% 48.67/31.64 (((~![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)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4305, 4303])).
% 48.67/31.64 tff(4307,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4308,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4307, 4306])).
% 48.67/31.64 tff(4309,plain,
% 48.67/31.64 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4308, 377, 4277])).
% 48.67/31.64 tff(4310,plain,
% 48.67/31.64 (v100(constB30) | (~v110(constB30))),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4309, 4302])).
% 48.67/31.64 tff(4311,plain,
% 48.67/31.64 (v100(constB30)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4310, 4285])).
% 48.67/31.64 tff(4312,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4313,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4314,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 48.67/31.64 tff(4315,plain,
% 48.67/31.64 (v130(constB27, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4314, 838, 4021])).
% 48.67/31.64 tff(4316,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4317,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4318,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4317, 4316])).
% 48.67/31.64 tff(4319,plain,
% 48.67/31.64 ((~v130(constB27, 1)) | v127(constB27, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4318, 852, 4061])).
% 48.67/31.64 tff(4320,plain,
% 48.67/31.64 (v127(constB27, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4319, 4315])).
% 48.67/31.64 tff(4321,plain,
% 48.67/31.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4322,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4323,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 48.67/31.64 tff(4324,plain,
% 48.67/31.64 ((~v127(constB27, 1)) | v129(constB28, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4323, 867, 4076])).
% 48.67/31.64 tff(4325,plain,
% 48.67/31.64 (v129(constB28, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4324, 4320])).
% 48.67/31.64 tff(4326,plain,
% 48.67/31.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4327,plain,
% 48.67/31.64 ((v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1))) <=> (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4328,plain,
% 48.67/31.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4327])).
% 48.67/31.64 tff(4329,plain,
% 48.67/31.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4328, 4326])).
% 48.67/31.64 tff(4330,plain,
% 48.67/31.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4331,plain,
% 48.67/31.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4330, 4329])).
% 48.67/31.64 tff(4332,plain,
% 48.67/31.64 (v90(constB28, 1) | (~v100(constB28))),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4331, 882, 4325])).
% 48.67/31.64 tff(4333,plain,
% 48.67/31.64 (v90(constB28, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4332, 4110])).
% 48.67/31.64 tff(4334,plain,
% 48.67/31.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4335,plain,
% 48.67/31.64 (((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)) <=> ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4336,plain,
% 48.67/31.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)))),
% 48.67/31.64 inference(monotonicity,[status(thm)],[4335])).
% 48.67/31.64 tff(4337,plain,
% 48.67/31.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 48.67/31.64 inference(transitivity,[status(thm)],[4336, 4334])).
% 48.67/31.64 tff(4338,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4339,plain,
% 48.67/31.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 48.67/31.64 tff(4340,plain,
% 48.67/31.64 ((~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4339, 900, 4138])).
% 48.67/31.64 tff(4341,plain,
% 48.67/31.64 ((~v90(constB28, 1)) | v90(constB29, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4340, 4150])).
% 48.67/31.64 tff(4342,plain,
% 48.67/31.64 (v90(constB29, 1)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4341, 4333])).
% 48.67/31.64 tff(4343,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0)))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4344,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))),
% 48.67/31.64 inference(quant_inst,[status(thm)],[])).
% 48.67/31.64 tff(4345,plain,
% 48.67/31.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0))),
% 48.67/31.64 inference(modus_ponens,[status(thm)],[4344, 4343])).
% 48.67/31.64 tff(4346,plain,
% 48.67/31.64 (~v130(constB27, 0)),
% 48.67/31.64 inference(unit_resolution,[status(thm)],[4345, 916, 4021])).
% 48.67/31.64 tff(4347,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4348,plain,
% 48.67/31.64 ((v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0))) <=> ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 48.67/31.64 inference(rewrite,[status(thm)],[])).
% 48.67/31.64 tff(4349,plain,
% 48.67/31.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4348])).
% 48.67/31.65 tff(4350,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4349, 4347])).
% 48.67/31.65 tff(4351,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4352,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 48.67/31.65 tff(4353,plain,
% 48.67/31.65 ((~v127(constB27, 0)) | v130(constB27, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4352, 930, 4061])).
% 48.67/31.65 tff(4354,plain,
% 48.67/31.65 (~v127(constB27, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4353, 4346])).
% 48.67/31.65 tff(4355,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4356,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4357,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4356, 4355])).
% 48.67/31.65 tff(4358,plain,
% 48.67/31.65 (v127(constB27, 0) | (~v129(constB28, 0))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4357, 948, 4076])).
% 48.67/31.65 tff(4359,plain,
% 48.67/31.65 (~v129(constB28, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4358, 4354])).
% 48.67/31.65 tff(4360,plain,
% 48.67/31.65 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4361,plain,
% 48.67/31.65 (((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0)) <=> ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4362,plain,
% 48.67/31.65 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4361])).
% 48.67/31.65 tff(4363,plain,
% 48.67/31.65 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4362, 4360])).
% 48.67/31.65 tff(4364,plain,
% 48.67/31.65 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4365,plain,
% 48.67/31.65 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 48.67/31.65 tff(4366,plain,
% 48.67/31.65 ((~v90(constB28, 0)) | (~v100(constB28))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4365, 963, 4359])).
% 48.67/31.65 tff(4367,plain,
% 48.67/31.65 (~v90(constB28, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4366, 4110])).
% 48.67/31.65 tff(4368,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4369,plain,
% 48.67/31.65 (((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))) <=> (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4370,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4369])).
% 48.67/31.65 tff(4371,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4370, 4368])).
% 48.67/31.65 tff(4372,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4373,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4372, 4371])).
% 48.67/31.65 tff(4374,plain,
% 48.67/31.65 (v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4373, 164, 4138])).
% 48.67/31.65 tff(4375,plain,
% 48.67/31.65 (v90(constB28, 0) | (~v90(constB29, 0))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4374, 4150])).
% 48.67/31.65 tff(4376,plain,
% 48.67/31.65 (~v90(constB29, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4375, 4367])).
% 48.67/31.65 tff(4377,plain,
% 48.67/31.65 (v121(constB29)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4196, 990, 4376, 4342, 4159])).
% 48.67/31.65 tff(4378,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4379,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4380,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4379, 4378])).
% 48.67/31.65 tff(4381,plain,
% 48.67/31.65 (~v130(constB29, 2)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4380, 1090, 4377])).
% 48.67/31.65 tff(4382,assumption,(v26(constB29)), introduced(assumption)).
% 48.67/31.65 tff(4383,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4384,plain,
% 48.67/31.65 ($false),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4383, 43, 4382])).
% 48.67/31.65 tff(4385,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.65 tff(4386,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4387,plain,
% 48.67/31.65 ((v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2))) <=> ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4388,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4387])).
% 48.67/31.65 tff(4389,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4388, 4386])).
% 48.67/31.65 tff(4390,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4391,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 48.67/31.65 tff(4392,plain,
% 48.67/31.65 ((~v127(constB29, 2)) | v130(constB29, 2)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4391, 593, 4385])).
% 48.67/31.65 tff(4393,plain,
% 48.67/31.65 (~v127(constB29, 2)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4392, 4381])).
% 48.67/31.65 tff(4394,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4395,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4396,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 48.67/31.65 tff(4397,plain,
% 48.67/31.65 (v127(constB29, 2) | (~v129(constB30, 2))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4396, 611, 4277])).
% 48.67/31.65 tff(4398,plain,
% 48.67/31.65 (~v129(constB30, 2)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4397, 4393])).
% 48.67/31.65 tff(4399,plain,
% 48.67/31.65 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4400,plain,
% 48.67/31.65 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4401,plain,
% 48.67/31.65 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4400, 4399])).
% 48.67/31.65 tff(4402,plain,
% 48.67/31.65 ((~v90(constB30, 2)) | (~v100(constB30))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4401, 626, 4398])).
% 48.67/31.65 tff(4403,plain,
% 48.67/31.65 (~v90(constB30, 2)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4402, 4311])).
% 48.67/31.65 tff(4404,plain,
% 48.67/31.65 ((~v1(constB31)) <=> (~v1(constB31))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4405,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 48.67/31.65 tff(4406,plain,
% 48.67/31.65 (~v1(constB31)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 48.67/31.65 tff(4407,plain,
% 48.67/31.65 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4408,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 48.67/31.65 tff(4409,plain,
% 48.67/31.65 (nextState(constB30, constB31)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 48.67/31.65 tff(4410,plain,
% 48.67/31.65 (((~![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)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4411,plain,
% 48.67/31.65 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4412,plain,
% 48.67/31.65 (((~![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))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4411])).
% 48.67/31.65 tff(4413,plain,
% 48.67/31.65 (((~![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)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4412, 4410])).
% 48.67/31.65 tff(4414,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4415,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 48.67/31.65 tff(4416,plain,
% 48.67/31.65 (~v101(constB31)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4415, 90, 4409, 4406])).
% 48.67/31.65 tff(4417,plain,
% 48.67/31.65 (((~![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)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4418,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4419,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4418, 4417])).
% 48.67/31.65 tff(4420,plain,
% 48.67/31.65 (v101(constB31) | (~v100(constB31))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4419, 107, 4409])).
% 48.67/31.65 tff(4421,plain,
% 48.67/31.65 (~v100(constB31)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4420, 4416])).
% 48.67/31.65 tff(4422,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4423,plain,
% 48.67/31.65 (((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))) <=> (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4424,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4423])).
% 48.67/31.65 tff(4425,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4424, 4422])).
% 48.67/31.65 tff(4426,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4427,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4426, 4425])).
% 48.67/31.65 tff(4428,plain,
% 48.67/31.65 (v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4427, 122, 4409])).
% 48.67/31.65 tff(4429,plain,
% 48.67/31.65 (v90(constB30, 2) | (~v90(constB31, 2))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4428, 4421])).
% 48.67/31.65 tff(4430,plain,
% 48.67/31.65 (~v90(constB31, 2)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4429, 4403])).
% 48.67/31.65 tff(4431,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4432,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4433,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4432, 4431])).
% 48.67/31.65 tff(4434,plain,
% 48.67/31.65 (v130(constB29, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4433, 1184, 4377])).
% 48.67/31.65 tff(4435,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4436,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4437,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4436, 4435])).
% 48.67/31.65 tff(4438,plain,
% 48.67/31.65 ((~v130(constB29, 0)) | v127(constB29, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4437, 515, 4385])).
% 48.67/31.65 tff(4439,plain,
% 48.67/31.65 (v127(constB29, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4438, 4434])).
% 48.67/31.65 tff(4440,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4441,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4442,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 48.67/31.65 tff(4443,plain,
% 48.67/31.65 ((~v127(constB29, 0)) | v129(constB30, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4442, 530, 4277])).
% 48.67/31.65 tff(4444,plain,
% 48.67/31.65 (v129(constB30, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4443, 4439])).
% 48.67/31.65 tff(4445,plain,
% 48.67/31.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4446,plain,
% 48.67/31.65 ((v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0))) <=> (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4447,plain,
% 48.67/31.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4446])).
% 48.67/31.65 tff(4448,plain,
% 48.67/31.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4447, 4445])).
% 48.67/31.65 tff(4449,plain,
% 48.67/31.65 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4450,plain,
% 48.67/31.65 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 48.67/31.65 tff(4451,plain,
% 48.67/31.65 (v90(constB30, 0) | (~v100(constB30))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4450, 545, 4444])).
% 48.67/31.65 tff(4452,plain,
% 48.67/31.65 (v90(constB30, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4451, 4311])).
% 48.67/31.65 tff(4453,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4454,plain,
% 48.67/31.65 (((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)) <=> ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4455,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4454])).
% 48.67/31.65 tff(4456,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4455, 4453])).
% 48.67/31.65 tff(4457,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4458,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4457, 4456])).
% 48.67/31.65 tff(4459,plain,
% 48.67/31.65 ((~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4458, 563, 4409])).
% 48.67/31.65 tff(4460,plain,
% 48.67/31.65 ((~v90(constB30, 0)) | v90(constB31, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4459, 4421])).
% 48.67/31.65 tff(4461,plain,
% 48.67/31.65 (v90(constB31, 0)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4460, 4452])).
% 48.67/31.65 tff(4462,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4463,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4464,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 48.67/31.65 tff(4465,plain,
% 48.67/31.65 (v130(constB29, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4464, 1146, 4377])).
% 48.67/31.65 tff(4466,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4467,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4468,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 48.67/31.65 tff(4469,plain,
% 48.67/31.65 ((~v130(constB29, 1)) | v127(constB29, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4468, 852, 4385])).
% 48.67/31.65 tff(4470,plain,
% 48.67/31.65 (v127(constB29, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4469, 4465])).
% 48.67/31.65 tff(4471,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4472,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4473,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 48.67/31.65 tff(4474,plain,
% 48.67/31.65 ((~v127(constB29, 1)) | v129(constB30, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4473, 867, 4277])).
% 48.67/31.65 tff(4475,plain,
% 48.67/31.65 (v129(constB30, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4474, 4470])).
% 48.67/31.65 tff(4476,plain,
% 48.67/31.65 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4477,plain,
% 48.67/31.65 ((v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1))) <=> (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4478,plain,
% 48.67/31.65 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4477])).
% 48.67/31.65 tff(4479,plain,
% 48.67/31.65 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4478, 4476])).
% 48.67/31.65 tff(4480,plain,
% 48.67/31.65 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4481,plain,
% 48.67/31.65 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 48.67/31.65 tff(4482,plain,
% 48.67/31.65 (v90(constB30, 1) | (~v100(constB30))),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4481, 882, 4475])).
% 48.67/31.65 tff(4483,plain,
% 48.67/31.65 (v90(constB30, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4482, 4311])).
% 48.67/31.65 tff(4484,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4485,plain,
% 48.67/31.65 (((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)) <=> ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4486,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4485])).
% 48.67/31.65 tff(4487,plain,
% 48.67/31.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4486, 4484])).
% 48.67/31.65 tff(4488,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4489,plain,
% 48.67/31.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4488, 4487])).
% 48.67/31.65 tff(4490,plain,
% 48.67/31.65 ((~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4489, 900, 4409])).
% 48.67/31.65 tff(4491,plain,
% 48.67/31.65 ((~v90(constB30, 1)) | v90(constB31, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4490, 4421])).
% 48.67/31.65 tff(4492,plain,
% 48.67/31.65 (v90(constB31, 1)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4491, 4483])).
% 48.67/31.65 tff(4493,assumption,(~v122(constB31)), introduced(assumption)).
% 48.67/31.65 tff(4494,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4495,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4496,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 48.67/31.65 tff(4497,plain,
% 48.67/31.65 ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4496, 1225, 4493])).
% 48.67/31.65 tff(4498,plain,
% 48.67/31.65 ($false),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4497, 4492, 4461, 4430])).
% 48.67/31.65 tff(4499,plain,((~v120(constB27)) | v122(constB31)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.65 tff(4500,plain,
% 48.67/31.65 (v122(constB31)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4499, 4020])).
% 48.67/31.65 tff(4501,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB31)) | v116(constB31))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4502,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4503,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB31)) | v116(constB31)),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 48.67/31.65 tff(4504,plain,
% 48.67/31.65 (v116(constB31)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4503, 1236, 4500])).
% 48.67/31.65 tff(4505,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4506,plain,
% 48.67/31.65 (((~v116(constB31)) | v115(constB31)) <=> (v115(constB31) | (~v116(constB31)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4507,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4506])).
% 48.67/31.65 tff(4508,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4507, 4505])).
% 48.67/31.65 tff(4509,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4510,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4509, 4508])).
% 48.67/31.65 tff(4511,plain,
% 48.67/31.65 (v115(constB31)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4510, 238, 4504])).
% 48.67/31.65 tff(4512,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4513,plain,
% 48.67/31.65 (((~v115(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v115(constB31)))),
% 48.67/31.65 inference(rewrite,[status(thm)],[])).
% 48.67/31.65 tff(4514,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31))))),
% 48.67/31.65 inference(monotonicity,[status(thm)],[4513])).
% 48.67/31.65 tff(4515,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 48.67/31.65 inference(transitivity,[status(thm)],[4514, 4512])).
% 48.67/31.65 tff(4516,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))),
% 48.67/31.65 inference(quant_inst,[status(thm)],[])).
% 48.67/31.65 tff(4517,plain,
% 48.67/31.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31))),
% 48.67/31.65 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 48.67/31.65 tff(4518,plain,
% 48.67/31.65 (v114(constB31)),
% 48.67/31.65 inference(unit_resolution,[status(thm)],[4517, 252, 4511])).
% 48.67/31.65 tff(4519,plain,
% 48.67/31.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4520,plain,
% 48.67/31.66 (((~v114(constB31)) | v113(constB31)) <=> (v113(constB31) | (~v114(constB31)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4521,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4520])).
% 48.67/31.66 tff(4522,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4521, 4519])).
% 48.67/31.66 tff(4523,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4524,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 48.67/31.66 tff(4525,plain,
% 48.67/31.66 (v113(constB31)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4524, 266, 4518])).
% 48.67/31.66 tff(4526,assumption,(v26(constB31)), introduced(assumption)).
% 48.67/31.66 tff(4527,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4528,plain,
% 48.67/31.66 ($false),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4527, 43, 4526])).
% 48.67/31.66 tff(4529,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.66 tff(4530,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4531,plain,
% 48.67/31.66 ((v26(constB31) | (~v113(constB31)) | v112(constB31)) <=> (v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4532,plain,
% 48.67/31.66 (((~![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) | v112(constB31) | (~v113(constB31))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4531])).
% 48.67/31.66 tff(4533,plain,
% 48.67/31.66 (((~![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) | v112(constB31) | (~v113(constB31)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4532, 4530])).
% 48.67/31.66 tff(4534,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4535,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 48.67/31.66 tff(4536,plain,
% 48.67/31.66 (v112(constB31) | (~v113(constB31))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4535, 280, 4529])).
% 48.67/31.66 tff(4537,plain,
% 48.67/31.66 (v112(constB31)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4536, 4525])).
% 48.67/31.66 tff(4538,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4539,plain,
% 48.67/31.66 (((~v112(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v112(constB31)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4540,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4539])).
% 48.67/31.66 tff(4541,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4540, 4538])).
% 48.67/31.66 tff(4542,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4543,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 48.67/31.66 tff(4544,plain,
% 48.67/31.66 (v108(constB31)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4543, 292, 4537])).
% 48.67/31.66 tff(4545,plain,
% 48.67/31.66 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4546,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 48.67/31.66 tff(4547,plain,
% 48.67/31.66 (nextState(constB31, constB32)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 48.67/31.66 tff(4548,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4549,plain,
% 48.67/31.66 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4550,plain,
% 48.67/31.66 (((~![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))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4549])).
% 48.67/31.66 tff(4551,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4550, 4548])).
% 48.67/31.66 tff(4552,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4553,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 48.67/31.66 tff(4554,plain,
% 48.67/31.66 (v110(constB32) | (~v108(constB31))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4553, 312, 4547])).
% 48.67/31.66 tff(4555,plain,
% 48.67/31.66 (v110(constB32)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4554, 4544])).
% 48.67/31.66 tff(4556,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4557,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4558,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4557, 4556])).
% 48.67/31.66 tff(4559,plain,
% 48.67/31.66 (~v104(constB32)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4558, 330, 4547, 4406])).
% 48.67/31.66 tff(4560,plain,
% 48.67/31.66 (((~![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)) | v102(constB32) | v104(constB32))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4561,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4562,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4561, 4560])).
% 48.67/31.66 tff(4563,plain,
% 48.67/31.66 (v102(constB32) | v104(constB32)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4562, 344, 4547])).
% 48.67/31.66 tff(4564,plain,
% 48.67/31.66 (v102(constB32)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4563, 4559])).
% 48.67/31.66 tff(4565,plain,
% 48.67/31.66 (v1(constB32) <=> v1(constB32)),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4566,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 48.67/31.66 tff(4567,plain,
% 48.67/31.66 (v1(constB32)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 48.67/31.66 tff(4568,plain,
% 48.67/31.66 (((~![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)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4569,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4570,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4569, 4568])).
% 48.67/31.66 tff(4571,plain,
% 48.67/31.66 (v101(constB32) | (~v102(constB32))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4570, 362, 4547, 4567])).
% 48.67/31.66 tff(4572,plain,
% 48.67/31.66 (v101(constB32)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4571, 4564])).
% 48.67/31.66 tff(4573,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4574,plain,
% 48.67/31.66 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4575,plain,
% 48.67/31.66 (((~![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))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4574])).
% 48.67/31.66 tff(4576,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4575, 4573])).
% 48.67/31.66 tff(4577,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4578,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 48.67/31.66 tff(4579,plain,
% 48.67/31.66 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4578, 377, 4547])).
% 48.67/31.66 tff(4580,plain,
% 48.67/31.66 (v100(constB32) | (~v110(constB32))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4579, 4572])).
% 48.67/31.66 tff(4581,plain,
% 48.67/31.66 (v100(constB32)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4580, 4555])).
% 48.67/31.66 tff(4582,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4583,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4584,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 48.67/31.66 tff(4585,plain,
% 48.67/31.66 (v130(constB31, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4584, 1314, 4500])).
% 48.67/31.66 tff(4586,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4587,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4588,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 48.67/31.66 tff(4589,plain,
% 48.67/31.66 ((~v130(constB31, 2)) | v127(constB31, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4588, 1328, 4529])).
% 48.67/31.66 tff(4590,plain,
% 48.67/31.66 (v127(constB31, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4589, 4585])).
% 48.67/31.66 tff(4591,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4592,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4593,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 48.67/31.66 tff(4594,plain,
% 48.67/31.66 ((~v127(constB31, 2)) | v129(constB32, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4593, 1343, 4547])).
% 48.67/31.66 tff(4595,plain,
% 48.67/31.66 (v129(constB32, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4594, 4590])).
% 48.67/31.66 tff(4596,plain,
% 48.67/31.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4597,plain,
% 48.67/31.66 ((v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2))) <=> (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4598,plain,
% 48.67/31.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4597])).
% 48.67/31.66 tff(4599,plain,
% 48.67/31.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4598, 4596])).
% 48.67/31.66 tff(4600,plain,
% 48.67/31.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4601,plain,
% 48.67/31.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 48.67/31.66 tff(4602,plain,
% 48.67/31.66 (v90(constB32, 2) | (~v100(constB32))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4601, 1358, 4595])).
% 48.67/31.66 tff(4603,plain,
% 48.67/31.66 (v90(constB32, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4602, 4581])).
% 48.67/31.66 tff(4604,plain,
% 48.67/31.66 ((~v1(constB33)) <=> (~v1(constB33))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4605,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 48.67/31.66 tff(4606,plain,
% 48.67/31.66 (~v1(constB33)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 48.67/31.66 tff(4607,plain,
% 48.67/31.66 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4608,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 48.67/31.66 tff(4609,plain,
% 48.67/31.66 (nextState(constB32, constB33)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 48.67/31.66 tff(4610,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4611,plain,
% 48.67/31.66 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4612,plain,
% 48.67/31.66 (((~![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))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4611])).
% 48.67/31.66 tff(4613,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4612, 4610])).
% 48.67/31.66 tff(4614,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4615,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 48.67/31.66 tff(4616,plain,
% 48.67/31.66 (~v101(constB33)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4615, 90, 4609, 4606])).
% 48.67/31.66 tff(4617,plain,
% 48.67/31.66 (((~![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)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4618,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4619,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 48.67/31.66 tff(4620,plain,
% 48.67/31.66 (v101(constB33) | (~v100(constB33))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4619, 107, 4609])).
% 48.67/31.66 tff(4621,plain,
% 48.67/31.66 (~v100(constB33)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4620, 4616])).
% 48.67/31.66 tff(4622,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4623,plain,
% 48.67/31.66 (((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)) <=> ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4624,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4623])).
% 48.67/31.66 tff(4625,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4624, 4622])).
% 48.67/31.66 tff(4626,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4627,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 48.67/31.66 tff(4628,plain,
% 48.67/31.66 ((~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4627, 1394, 4609])).
% 48.67/31.66 tff(4629,plain,
% 48.67/31.66 ((~v90(constB32, 2)) | v90(constB33, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4628, 4621])).
% 48.67/31.66 tff(4630,plain,
% 48.67/31.66 (v90(constB33, 2)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4629, 4603])).
% 48.67/31.66 tff(4631,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4632,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4633,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 48.67/31.66 tff(4634,plain,
% 48.67/31.66 (~v130(constB31, 1)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4633, 1410, 4500])).
% 48.67/31.66 tff(4635,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4636,plain,
% 48.67/31.66 ((v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1))) <=> ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4637,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4636])).
% 48.67/31.66 tff(4638,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4637, 4635])).
% 48.67/31.66 tff(4639,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4640,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 48.67/31.66 tff(4641,plain,
% 48.67/31.66 ((~v127(constB31, 1)) | v130(constB31, 1)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4640, 408, 4529])).
% 48.67/31.66 tff(4642,plain,
% 48.67/31.66 (~v127(constB31, 1)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4641, 4634])).
% 48.67/31.66 tff(4643,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4644,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4645,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 48.67/31.66 tff(4646,plain,
% 48.67/31.66 (v127(constB31, 1) | (~v129(constB32, 1))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4645, 438, 4547])).
% 48.67/31.66 tff(4647,plain,
% 48.67/31.66 (~v129(constB32, 1)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4646, 4642])).
% 48.67/31.66 tff(4648,plain,
% 48.67/31.66 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4649,plain,
% 48.67/31.66 (((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1)) <=> ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4650,plain,
% 48.67/31.66 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4649])).
% 48.67/31.66 tff(4651,plain,
% 48.67/31.66 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4650, 4648])).
% 48.67/31.66 tff(4652,plain,
% 48.67/31.66 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4653,plain,
% 48.67/31.66 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 48.67/31.66 tff(4654,plain,
% 48.67/31.66 ((~v90(constB32, 1)) | (~v100(constB32))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4653, 453, 4647])).
% 48.67/31.66 tff(4655,plain,
% 48.67/31.66 (~v90(constB32, 1)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4654, 4581])).
% 48.67/31.66 tff(4656,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4657,plain,
% 48.67/31.66 (((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))) <=> (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4658,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))))),
% 48.67/31.66 inference(monotonicity,[status(thm)],[4657])).
% 48.67/31.66 tff(4659,plain,
% 48.67/31.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 48.67/31.66 inference(transitivity,[status(thm)],[4658, 4656])).
% 48.67/31.66 tff(4660,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4661,plain,
% 48.67/31.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 48.67/31.66 tff(4662,plain,
% 48.67/31.66 (v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4661, 143, 4609])).
% 48.67/31.66 tff(4663,plain,
% 48.67/31.66 (v90(constB32, 1) | (~v90(constB33, 1))),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4662, 4621])).
% 48.67/31.66 tff(4664,plain,
% 48.67/31.66 (~v90(constB33, 1)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4663, 4655])).
% 48.67/31.66 tff(4665,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0)))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4666,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))),
% 48.67/31.66 inference(quant_inst,[status(thm)],[])).
% 48.67/31.66 tff(4667,plain,
% 48.67/31.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0))),
% 48.67/31.66 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 48.67/31.66 tff(4668,plain,
% 48.67/31.66 (~v130(constB31, 0)),
% 48.67/31.66 inference(unit_resolution,[status(thm)],[4667, 1451, 4500])).
% 48.67/31.66 tff(4669,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4670,plain,
% 48.67/31.66 ((v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0))) <=> ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 48.67/31.66 inference(rewrite,[status(thm)],[])).
% 48.67/31.66 tff(4671,plain,
% 48.67/31.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4670])).
% 48.67/31.67 tff(4672,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4671, 4669])).
% 48.67/31.67 tff(4673,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4674,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4673, 4672])).
% 48.67/31.67 tff(4675,plain,
% 48.67/31.67 ((~v127(constB31, 0)) | v130(constB31, 0)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4674, 930, 4529])).
% 48.67/31.67 tff(4676,plain,
% 48.67/31.67 (~v127(constB31, 0)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4675, 4668])).
% 48.67/31.67 tff(4677,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4678,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4679,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4678, 4677])).
% 48.67/31.67 tff(4680,plain,
% 48.67/31.67 (v127(constB31, 0) | (~v129(constB32, 0))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4679, 948, 4547])).
% 48.67/31.67 tff(4681,plain,
% 48.67/31.67 (~v129(constB32, 0)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4680, 4676])).
% 48.67/31.67 tff(4682,plain,
% 48.67/31.67 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4683,plain,
% 48.67/31.67 (((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0)) <=> ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4684,plain,
% 48.67/31.67 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4683])).
% 48.67/31.67 tff(4685,plain,
% 48.67/31.67 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4684, 4682])).
% 48.67/31.67 tff(4686,plain,
% 48.67/31.67 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4687,plain,
% 48.67/31.67 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4686, 4685])).
% 48.67/31.67 tff(4688,plain,
% 48.67/31.67 ((~v90(constB32, 0)) | (~v100(constB32))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4687, 963, 4681])).
% 48.67/31.67 tff(4689,plain,
% 48.67/31.67 (~v90(constB32, 0)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4688, 4581])).
% 48.67/31.67 tff(4690,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4691,plain,
% 48.67/31.67 (((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))) <=> (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4692,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4691])).
% 48.67/31.67 tff(4693,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4692, 4690])).
% 48.67/31.67 tff(4694,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4695,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 48.67/31.67 tff(4696,plain,
% 48.67/31.67 (v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4695, 164, 4609])).
% 48.67/31.67 tff(4697,plain,
% 48.67/31.67 (v90(constB32, 0) | (~v90(constB33, 0))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4696, 4621])).
% 48.67/31.67 tff(4698,plain,
% 48.67/31.67 (~v90(constB33, 0)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4697, 4689])).
% 48.67/31.67 tff(4699,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4700,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4701,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 48.67/31.67 tff(4702,plain,
% 48.67/31.67 (v123(constB33)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4701, 1495, 4698, 4664, 4630])).
% 48.67/31.67 tff(4703,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4704,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4705,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 48.67/31.67 tff(4706,plain,
% 48.67/31.67 (v115(constB33)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4705, 1506, 4702])).
% 48.67/31.67 tff(4707,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4708,plain,
% 48.67/31.67 (((~v115(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v115(constB33)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4709,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4708])).
% 48.67/31.67 tff(4710,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4709, 4707])).
% 48.67/31.67 tff(4711,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4712,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 48.67/31.67 tff(4713,plain,
% 48.67/31.67 (v114(constB33)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4712, 252, 4706])).
% 48.67/31.67 tff(4714,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4715,plain,
% 48.67/31.67 (((~v114(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v114(constB33)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4716,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4715])).
% 48.67/31.67 tff(4717,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4716, 4714])).
% 48.67/31.67 tff(4718,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4719,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4718, 4717])).
% 48.67/31.67 tff(4720,plain,
% 48.67/31.67 (v113(constB33)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4719, 266, 4713])).
% 48.67/31.67 tff(4721,assumption,(v26(constB33)), introduced(assumption)).
% 48.67/31.67 tff(4722,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4723,plain,
% 48.67/31.67 ($false),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4722, 43, 4721])).
% 48.67/31.67 tff(4724,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.67 tff(4725,plain,
% 48.67/31.67 (((~![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) | (~v113(constB33)) | v112(constB33))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4726,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4727,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4726, 4725])).
% 48.67/31.67 tff(4728,plain,
% 48.67/31.67 ((~v113(constB33)) | v112(constB33)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4727, 280, 4724])).
% 48.67/31.67 tff(4729,plain,
% 48.67/31.67 (v112(constB33)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4728, 4720])).
% 48.67/31.67 tff(4730,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4731,plain,
% 48.67/31.67 (((~v112(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v112(constB33)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4732,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4731])).
% 48.67/31.67 tff(4733,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4732, 4730])).
% 48.67/31.67 tff(4734,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4735,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4734, 4733])).
% 48.67/31.67 tff(4736,plain,
% 48.67/31.67 (v108(constB33)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4735, 292, 4729])).
% 48.67/31.67 tff(4737,plain,
% 48.67/31.67 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4738,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 48.67/31.67 tff(4739,plain,
% 48.67/31.67 (nextState(constB33, constB34)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 48.67/31.67 tff(4740,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4741,plain,
% 48.67/31.67 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4742,plain,
% 48.67/31.67 (((~![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))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4741])).
% 48.67/31.67 tff(4743,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4742, 4740])).
% 48.67/31.67 tff(4744,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4745,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 48.67/31.67 tff(4746,plain,
% 48.67/31.67 (v110(constB34) | (~v108(constB33))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4745, 312, 4739])).
% 48.67/31.67 tff(4747,plain,
% 48.67/31.67 (v110(constB34)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4746, 4736])).
% 48.67/31.67 tff(4748,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4749,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4750,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 48.67/31.67 tff(4751,plain,
% 48.67/31.67 (~v104(constB34)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4750, 330, 4739, 4606])).
% 48.67/31.67 tff(4752,plain,
% 48.67/31.67 (((~![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)) | v102(constB34) | v104(constB34))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4753,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4754,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 48.67/31.67 tff(4755,plain,
% 48.67/31.67 (v102(constB34) | v104(constB34)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4754, 344, 4739])).
% 48.67/31.67 tff(4756,plain,
% 48.67/31.67 (v102(constB34)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4755, 4751])).
% 48.67/31.67 tff(4757,plain,
% 48.67/31.67 (v1(constB34) <=> v1(constB34)),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4758,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 48.67/31.67 tff(4759,plain,
% 48.67/31.67 (v1(constB34)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 48.67/31.67 tff(4760,plain,
% 48.67/31.67 (((~![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)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4761,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4762,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 48.67/31.67 tff(4763,plain,
% 48.67/31.67 (v101(constB34) | (~v102(constB34))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4762, 362, 4739, 4759])).
% 48.67/31.67 tff(4764,plain,
% 48.67/31.67 (v101(constB34)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4763, 4756])).
% 48.67/31.67 tff(4765,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4766,plain,
% 48.67/31.67 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4767,plain,
% 48.67/31.67 (((~![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))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4766])).
% 48.67/31.67 tff(4768,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4767, 4765])).
% 48.67/31.67 tff(4769,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4770,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 48.67/31.67 tff(4771,plain,
% 48.67/31.67 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4770, 377, 4739])).
% 48.67/31.67 tff(4772,plain,
% 48.67/31.67 (v100(constB34) | (~v110(constB34))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4771, 4764])).
% 48.67/31.67 tff(4773,plain,
% 48.67/31.67 (v100(constB34)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4772, 4747])).
% 48.67/31.67 tff(4774,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4775,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4776,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 48.67/31.67 tff(4777,plain,
% 48.67/31.67 (v130(constB33, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4776, 1580, 4702])).
% 48.67/31.67 tff(4778,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4779,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4780,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 48.67/31.67 tff(4781,plain,
% 48.67/31.67 ((~v130(constB33, 2)) | v127(constB33, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4780, 1328, 4724])).
% 48.67/31.67 tff(4782,plain,
% 48.67/31.67 (v127(constB33, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4781, 4777])).
% 48.67/31.67 tff(4783,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4784,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4785,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 48.67/31.67 tff(4786,plain,
% 48.67/31.67 ((~v127(constB33, 2)) | v129(constB34, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4785, 1343, 4739])).
% 48.67/31.67 tff(4787,plain,
% 48.67/31.67 (v129(constB34, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4786, 4782])).
% 48.67/31.67 tff(4788,plain,
% 48.67/31.67 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4789,plain,
% 48.67/31.67 ((v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2))) <=> (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4790,plain,
% 48.67/31.67 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4789])).
% 48.67/31.67 tff(4791,plain,
% 48.67/31.67 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4790, 4788])).
% 48.67/31.67 tff(4792,plain,
% 48.67/31.67 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4793,plain,
% 48.67/31.67 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4792, 4791])).
% 48.67/31.67 tff(4794,plain,
% 48.67/31.67 (v90(constB34, 2) | (~v100(constB34))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4793, 1358, 4787])).
% 48.67/31.67 tff(4795,plain,
% 48.67/31.67 (v90(constB34, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4794, 4773])).
% 48.67/31.67 tff(4796,plain,
% 48.67/31.67 ((~v1(constB35)) <=> (~v1(constB35))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4797,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 48.67/31.67 tff(4798,plain,
% 48.67/31.67 (~v1(constB35)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 48.67/31.67 tff(4799,plain,
% 48.67/31.67 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4800,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 48.67/31.67 tff(4801,plain,
% 48.67/31.67 (nextState(constB34, constB35)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4800, 4799])).
% 48.67/31.67 tff(4802,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4803,plain,
% 48.67/31.67 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4804,plain,
% 48.67/31.67 (((~![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))))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4803])).
% 48.67/31.67 tff(4805,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4804, 4802])).
% 48.67/31.67 tff(4806,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4807,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4806, 4805])).
% 48.67/31.67 tff(4808,plain,
% 48.67/31.67 (~v101(constB35)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4807, 90, 4801, 4798])).
% 48.67/31.67 tff(4809,plain,
% 48.67/31.67 (((~![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)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4810,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4811,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 48.67/31.67 tff(4812,plain,
% 48.67/31.67 (v101(constB35) | (~v100(constB35))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4811, 107, 4801])).
% 48.67/31.67 tff(4813,plain,
% 48.67/31.67 (~v100(constB35)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4812, 4808])).
% 48.67/31.67 tff(4814,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4815,plain,
% 48.67/31.67 (((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)) <=> ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4816,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4815])).
% 48.67/31.67 tff(4817,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4816, 4814])).
% 48.67/31.67 tff(4818,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4819,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4818, 4817])).
% 48.67/31.67 tff(4820,plain,
% 48.67/31.67 ((~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4819, 1394, 4801])).
% 48.67/31.67 tff(4821,plain,
% 48.67/31.67 ((~v90(constB34, 2)) | v90(constB35, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4820, 4813])).
% 48.67/31.67 tff(4822,plain,
% 48.67/31.67 (v90(constB35, 2)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4821, 4795])).
% 48.67/31.67 tff(4823,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4824,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4825,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4824, 4823])).
% 48.67/31.67 tff(4826,plain,
% 48.67/31.67 (~v130(constB33, 1)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4825, 1636, 4702])).
% 48.67/31.67 tff(4827,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4828,plain,
% 48.67/31.67 ((v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1))) <=> ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4829,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)))),
% 48.67/31.67 inference(monotonicity,[status(thm)],[4828])).
% 48.67/31.67 tff(4830,plain,
% 48.67/31.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 48.67/31.67 inference(transitivity,[status(thm)],[4829, 4827])).
% 48.67/31.67 tff(4831,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4832,plain,
% 48.67/31.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4831, 4830])).
% 48.67/31.67 tff(4833,plain,
% 48.67/31.67 ((~v127(constB33, 1)) | v130(constB33, 1)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4832, 408, 4724])).
% 48.67/31.67 tff(4834,plain,
% 48.67/31.67 (~v127(constB33, 1)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4833, 4826])).
% 48.67/31.67 tff(4835,plain,
% 48.67/31.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4836,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 48.67/31.67 inference(quant_inst,[status(thm)],[])).
% 48.67/31.67 tff(4837,plain,
% 48.67/31.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1))),
% 48.67/31.67 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 48.67/31.67 tff(4838,plain,
% 48.67/31.67 (v127(constB33, 1) | (~v129(constB34, 1))),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4837, 438, 4739])).
% 48.67/31.67 tff(4839,plain,
% 48.67/31.67 (~v129(constB34, 1)),
% 48.67/31.67 inference(unit_resolution,[status(thm)],[4838, 4834])).
% 48.67/31.67 tff(4840,plain,
% 48.67/31.67 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4841,plain,
% 48.67/31.67 (((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1)) <=> ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 48.67/31.67 inference(rewrite,[status(thm)],[])).
% 48.67/31.67 tff(4842,plain,
% 48.67/31.67 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4841])).
% 48.67/31.68 tff(4843,plain,
% 48.67/31.68 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 48.67/31.68 inference(transitivity,[status(thm)],[4842, 4840])).
% 48.67/31.68 tff(4844,plain,
% 48.67/31.68 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4845,plain,
% 48.67/31.68 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4844, 4843])).
% 48.67/31.68 tff(4846,plain,
% 48.67/31.68 ((~v90(constB34, 1)) | (~v100(constB34))),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4845, 453, 4839])).
% 48.67/31.68 tff(4847,plain,
% 48.67/31.68 (~v90(constB34, 1)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4846, 4773])).
% 48.67/31.68 tff(4848,plain,
% 48.67/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4849,plain,
% 48.67/31.68 (((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))) <=> (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4850,plain,
% 48.67/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4849])).
% 48.67/31.68 tff(4851,plain,
% 48.67/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 48.67/31.68 inference(transitivity,[status(thm)],[4850, 4848])).
% 48.67/31.68 tff(4852,plain,
% 48.67/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4853,plain,
% 48.67/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 48.67/31.68 tff(4854,plain,
% 48.67/31.68 (v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4853, 143, 4801])).
% 48.67/31.68 tff(4855,plain,
% 48.67/31.68 (v90(constB34, 1) | (~v90(constB35, 1))),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4854, 4813])).
% 48.67/31.68 tff(4856,plain,
% 48.67/31.68 (~v90(constB35, 1)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4855, 4847])).
% 48.67/31.68 tff(4857,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4858,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4859,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0)),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4858, 4857])).
% 48.67/31.68 tff(4860,plain,
% 48.67/31.68 (v130(constB33, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4859, 1677, 4702])).
% 48.67/31.68 tff(4861,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4862,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4863,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0)),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 48.67/31.68 tff(4864,plain,
% 48.67/31.68 ((~v130(constB33, 0)) | v127(constB33, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4863, 515, 4724])).
% 48.67/31.68 tff(4865,plain,
% 48.67/31.68 (v127(constB33, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4864, 4860])).
% 48.67/31.68 tff(4866,plain,
% 48.67/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4867,plain,
% 48.67/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4868,plain,
% 48.67/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0)),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 48.67/31.68 tff(4869,plain,
% 48.67/31.68 ((~v127(constB33, 0)) | v129(constB34, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4868, 530, 4739])).
% 48.67/31.68 tff(4870,plain,
% 48.67/31.68 (v129(constB34, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4869, 4865])).
% 48.67/31.68 tff(4871,plain,
% 48.67/31.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4872,plain,
% 48.67/31.68 ((v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0))) <=> (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4873,plain,
% 48.67/31.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4872])).
% 48.67/31.68 tff(4874,plain,
% 48.67/31.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 48.67/31.68 inference(transitivity,[status(thm)],[4873, 4871])).
% 48.67/31.68 tff(4875,plain,
% 48.67/31.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4876,plain,
% 48.67/31.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4875, 4874])).
% 48.67/31.68 tff(4877,plain,
% 48.67/31.68 (v90(constB34, 0) | (~v100(constB34))),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4876, 545, 4870])).
% 48.67/31.68 tff(4878,plain,
% 48.67/31.68 (v90(constB34, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4877, 4773])).
% 48.67/31.68 tff(4879,plain,
% 48.67/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4880,plain,
% 48.67/31.68 (((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)) <=> ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4881,plain,
% 48.67/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4880])).
% 48.67/31.68 tff(4882,plain,
% 48.67/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 48.67/31.68 inference(transitivity,[status(thm)],[4881, 4879])).
% 48.67/31.68 tff(4883,plain,
% 48.67/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4884,plain,
% 48.67/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4883, 4882])).
% 48.67/31.68 tff(4885,plain,
% 48.67/31.68 ((~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4884, 563, 4801])).
% 48.67/31.68 tff(4886,plain,
% 48.67/31.68 ((~v90(constB34, 0)) | v90(constB35, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4885, 4813])).
% 48.67/31.68 tff(4887,plain,
% 48.67/31.68 (v90(constB35, 0)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4886, 4878])).
% 48.67/31.68 tff(4888,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4889,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4890,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35)),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 48.67/31.68 tff(4891,plain,
% 48.67/31.68 (v124(constB35)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4890, 1718, 4887, 4856, 4822])).
% 48.67/31.68 tff(4892,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4893,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4894,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35)),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 48.67/31.68 tff(4895,plain,
% 48.67/31.68 (v114(constB35)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4894, 1775, 4891])).
% 48.67/31.68 tff(4896,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4897,plain,
% 48.67/31.68 (((~v114(constB35)) | v113(constB35)) <=> (v113(constB35) | (~v114(constB35)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4898,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35))))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4897])).
% 48.67/31.68 tff(4899,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 48.67/31.68 inference(transitivity,[status(thm)],[4898, 4896])).
% 48.67/31.68 tff(4900,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4901,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35))),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4900, 4899])).
% 48.67/31.68 tff(4902,plain,
% 48.67/31.68 (v113(constB35)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4901, 266, 4895])).
% 48.67/31.68 tff(4903,assumption,(v26(constB35)), introduced(assumption)).
% 48.67/31.68 tff(4904,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4905,plain,
% 48.67/31.68 ($false),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4904, 43, 4903])).
% 48.67/31.68 tff(4906,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 48.67/31.68 tff(4907,plain,
% 48.67/31.68 (((~![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)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4908,plain,
% 48.67/31.68 ((v26(constB35) | (~v113(constB35)) | v112(constB35)) <=> (v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4909,plain,
% 48.67/31.68 (((~![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))))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4908])).
% 48.67/31.68 tff(4910,plain,
% 48.67/31.68 (((~![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)))),
% 48.67/31.68 inference(transitivity,[status(thm)],[4909, 4907])).
% 48.67/31.68 tff(4911,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4912,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35))),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 48.67/31.68 tff(4913,plain,
% 48.67/31.68 (v112(constB35) | (~v113(constB35))),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4912, 280, 4906])).
% 48.67/31.68 tff(4914,plain,
% 48.67/31.68 (v112(constB35)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4913, 4902])).
% 48.67/31.68 tff(4915,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4916,plain,
% 48.67/31.68 (((~v112(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v112(constB35)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4917,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35))))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4916])).
% 48.67/31.68 tff(4918,plain,
% 48.67/31.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 48.67/31.68 inference(transitivity,[status(thm)],[4917, 4915])).
% 48.67/31.68 tff(4919,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))),
% 48.67/31.68 inference(quant_inst,[status(thm)],[])).
% 48.67/31.68 tff(4920,plain,
% 48.67/31.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35))),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4919, 4918])).
% 48.67/31.68 tff(4921,plain,
% 48.67/31.68 (v108(constB35)),
% 48.67/31.68 inference(unit_resolution,[status(thm)],[4920, 292, 4914])).
% 48.67/31.68 tff(4922,plain,
% 48.67/31.68 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4923,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 48.67/31.68 tff(4924,plain,
% 48.67/31.68 (nextState(constB35, constB36)),
% 48.67/31.68 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 48.67/31.68 tff(4925,plain,
% 48.67/31.68 (((~![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)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4926,plain,
% 48.67/31.68 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 48.67/31.68 inference(rewrite,[status(thm)],[])).
% 48.67/31.68 tff(4927,plain,
% 48.67/31.68 (((~![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))))),
% 48.67/31.68 inference(monotonicity,[status(thm)],[4926])).
% 48.67/31.68 tff(4928,plain,
% 48.67/31.68 (((~![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)))),
% 48.76/31.68 inference(transitivity,[status(thm)],[4927, 4925])).
% 48.76/31.68 tff(4929,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4930,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4929, 4928])).
% 48.76/31.68 tff(4931,plain,
% 48.76/31.68 (v110(constB36) | (~v108(constB35))),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4930, 312, 4924])).
% 48.76/31.68 tff(4932,plain,
% 48.76/31.68 (v110(constB36)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4931, 4921])).
% 48.76/31.68 tff(4933,plain,
% 48.76/31.68 (((~![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)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4934,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4935,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 48.76/31.68 tff(4936,plain,
% 48.76/31.68 (~v104(constB36)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4935, 330, 4924, 4798])).
% 48.76/31.68 tff(4937,plain,
% 48.76/31.68 (((~![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)) | v102(constB36) | v104(constB36))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4938,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4939,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 48.76/31.68 tff(4940,plain,
% 48.76/31.68 (v102(constB36) | v104(constB36)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4939, 344, 4924])).
% 48.76/31.68 tff(4941,plain,
% 48.76/31.68 (v102(constB36)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4940, 4936])).
% 48.76/31.68 tff(4942,plain,
% 48.76/31.68 (v1(constB36) <=> v1(constB36)),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4943,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 48.76/31.68 tff(4944,plain,
% 48.76/31.68 (v1(constB36)),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4943, 4942])).
% 48.76/31.68 tff(4945,plain,
% 48.76/31.68 (((~![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)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4946,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4947,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 48.76/31.68 tff(4948,plain,
% 48.76/31.68 (v101(constB36) | (~v102(constB36))),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4947, 362, 4924, 4944])).
% 48.76/31.68 tff(4949,plain,
% 48.76/31.68 (v101(constB36)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4948, 4941])).
% 48.76/31.68 tff(4950,plain,
% 48.76/31.68 (((~![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)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4951,plain,
% 48.76/31.68 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4952,plain,
% 48.76/31.68 (((~![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))))),
% 48.76/31.68 inference(monotonicity,[status(thm)],[4951])).
% 48.76/31.68 tff(4953,plain,
% 48.76/31.68 (((~![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)))),
% 48.76/31.68 inference(transitivity,[status(thm)],[4952, 4950])).
% 48.76/31.68 tff(4954,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4955,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 48.76/31.68 tff(4956,plain,
% 48.76/31.68 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4955, 377, 4924])).
% 48.76/31.68 tff(4957,plain,
% 48.76/31.68 (v100(constB36) | (~v110(constB36))),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4956, 4949])).
% 48.76/31.68 tff(4958,plain,
% 48.76/31.68 (v100(constB36)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4957, 4932])).
% 48.76/31.68 tff(4959,plain,
% 48.76/31.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4960,plain,
% 48.76/31.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4961,plain,
% 48.76/31.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2)),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4960, 4959])).
% 48.76/31.68 tff(4962,plain,
% 48.76/31.68 (v130(constB35, 2)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4961, 1729, 4891])).
% 48.76/31.68 tff(4963,plain,
% 48.76/31.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4964,plain,
% 48.76/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4965,plain,
% 48.76/31.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2)),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4964, 4963])).
% 48.76/31.68 tff(4966,plain,
% 48.76/31.68 ((~v130(constB35, 2)) | v127(constB35, 2)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4965, 1328, 4906])).
% 48.76/31.68 tff(4967,plain,
% 48.76/31.68 (v127(constB35, 2)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4966, 4962])).
% 48.76/31.68 tff(4968,plain,
% 48.76/31.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4969,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4970,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2)),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 48.76/31.68 tff(4971,plain,
% 48.76/31.68 ((~v127(constB35, 2)) | v129(constB36, 2)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4970, 1343, 4924])).
% 48.76/31.68 tff(4972,plain,
% 48.76/31.68 (v129(constB36, 2)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4971, 4967])).
% 48.76/31.68 tff(4973,plain,
% 48.76/31.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4974,plain,
% 48.76/31.68 ((v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2))) <=> (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4975,plain,
% 48.76/31.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))))),
% 48.76/31.68 inference(monotonicity,[status(thm)],[4974])).
% 48.76/31.68 tff(4976,plain,
% 48.76/31.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 48.76/31.68 inference(transitivity,[status(thm)],[4975, 4973])).
% 48.76/31.68 tff(4977,plain,
% 48.76/31.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4978,plain,
% 48.76/31.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 48.76/31.68 tff(4979,plain,
% 48.76/31.68 (v90(constB36, 2) | (~v100(constB36))),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4978, 1358, 4972])).
% 48.76/31.68 tff(4980,plain,
% 48.76/31.68 (v90(constB36, 2)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4979, 4958])).
% 48.76/31.68 tff(4981,plain,
% 48.76/31.68 ((~v1(constB37)) <=> (~v1(constB37))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4982,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 48.76/31.68 tff(4983,plain,
% 48.76/31.68 (~v1(constB37)),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4982, 4981])).
% 48.76/31.68 tff(4984,plain,
% 48.76/31.68 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4985,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 48.76/31.68 tff(4986,plain,
% 48.76/31.68 (nextState(constB36, constB37)),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 48.76/31.68 tff(4987,plain,
% 48.76/31.68 (((~![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)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4988,plain,
% 48.76/31.68 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4989,plain,
% 48.76/31.68 (((~![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))))),
% 48.76/31.68 inference(monotonicity,[status(thm)],[4988])).
% 48.76/31.68 tff(4990,plain,
% 48.76/31.68 (((~![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)))),
% 48.76/31.68 inference(transitivity,[status(thm)],[4989, 4987])).
% 48.76/31.68 tff(4991,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 48.76/31.68 inference(quant_inst,[status(thm)],[])).
% 48.76/31.68 tff(4992,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 48.76/31.68 inference(modus_ponens,[status(thm)],[4991, 4990])).
% 48.76/31.68 tff(4993,plain,
% 48.76/31.68 (~v101(constB37)),
% 48.76/31.68 inference(unit_resolution,[status(thm)],[4992, 90, 4986, 4983])).
% 48.76/31.68 tff(4994,plain,
% 48.76/31.68 (((~![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)))),
% 48.76/31.68 inference(rewrite,[status(thm)],[])).
% 48.76/31.68 tff(4995,plain,
% 48.76/31.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(4996,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 48.76/31.69 tff(4997,plain,
% 48.76/31.69 (v101(constB37) | (~v100(constB37))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[4996, 107, 4986])).
% 48.76/31.69 tff(4998,plain,
% 48.76/31.69 (~v100(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[4997, 4993])).
% 48.76/31.69 tff(4999,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5000,plain,
% 48.76/31.69 (((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)) <=> ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5001,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5000])).
% 48.76/31.69 tff(5002,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5001, 4999])).
% 48.76/31.69 tff(5003,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5004,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5003, 5002])).
% 48.76/31.69 tff(5005,plain,
% 48.76/31.69 ((~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5004, 1394, 4986])).
% 48.76/31.69 tff(5006,plain,
% 48.76/31.69 ((~v90(constB36, 2)) | v90(constB37, 2)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5005, 4998])).
% 48.76/31.69 tff(5007,plain,
% 48.76/31.69 (v90(constB37, 2)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5006, 4980])).
% 48.76/31.69 tff(5008,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5009,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5010,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 48.76/31.69 tff(5011,plain,
% 48.76/31.69 (v130(constB35, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5010, 1871, 4891])).
% 48.76/31.69 tff(5012,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5013,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5014,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 48.76/31.69 tff(5015,plain,
% 48.76/31.69 ((~v130(constB35, 1)) | v127(constB35, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5014, 852, 4906])).
% 48.76/31.69 tff(5016,plain,
% 48.76/31.69 (v127(constB35, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5015, 5011])).
% 48.76/31.69 tff(5017,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5018,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5019,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 48.76/31.69 tff(5020,plain,
% 48.76/31.69 ((~v127(constB35, 1)) | v129(constB36, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5019, 867, 4924])).
% 48.76/31.69 tff(5021,plain,
% 48.76/31.69 (v129(constB36, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5020, 5016])).
% 48.76/31.69 tff(5022,plain,
% 48.76/31.69 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5023,plain,
% 48.76/31.69 ((v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1))) <=> (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5024,plain,
% 48.76/31.69 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5023])).
% 48.76/31.69 tff(5025,plain,
% 48.76/31.69 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5024, 5022])).
% 48.76/31.69 tff(5026,plain,
% 48.76/31.69 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5027,plain,
% 48.76/31.69 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 48.76/31.69 tff(5028,plain,
% 48.76/31.69 (v90(constB36, 1) | (~v100(constB36))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5027, 882, 5021])).
% 48.76/31.69 tff(5029,plain,
% 48.76/31.69 (v90(constB36, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5028, 4958])).
% 48.76/31.69 tff(5030,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5031,plain,
% 48.76/31.69 (((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)) <=> ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5032,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5031])).
% 48.76/31.69 tff(5033,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5032, 5030])).
% 48.76/31.69 tff(5034,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5035,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5034, 5033])).
% 48.76/31.69 tff(5036,plain,
% 48.76/31.69 ((~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5035, 900, 4986])).
% 48.76/31.69 tff(5037,plain,
% 48.76/31.69 ((~v90(constB36, 1)) | v90(constB37, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5036, 4998])).
% 48.76/31.69 tff(5038,plain,
% 48.76/31.69 (v90(constB37, 1)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5037, 5029])).
% 48.76/31.69 tff(5039,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5040,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5041,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5040, 5039])).
% 48.76/31.69 tff(5042,plain,
% 48.76/31.69 (~v130(constB35, 0)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5041, 1909, 4891])).
% 48.76/31.69 tff(5043,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5044,plain,
% 48.76/31.69 ((v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0))) <=> ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5045,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5044])).
% 48.76/31.69 tff(5046,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5045, 5043])).
% 48.76/31.69 tff(5047,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5048,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 48.76/31.69 tff(5049,plain,
% 48.76/31.69 ((~v127(constB35, 0)) | v130(constB35, 0)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5048, 930, 4906])).
% 48.76/31.69 tff(5050,plain,
% 48.76/31.69 (~v127(constB35, 0)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5049, 5042])).
% 48.76/31.69 tff(5051,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5052,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5053,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 48.76/31.69 tff(5054,plain,
% 48.76/31.69 (v127(constB35, 0) | (~v129(constB36, 0))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5053, 948, 4924])).
% 48.76/31.69 tff(5055,plain,
% 48.76/31.69 (~v129(constB36, 0)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5054, 5050])).
% 48.76/31.69 tff(5056,plain,
% 48.76/31.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5057,plain,
% 48.76/31.69 (((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0)) <=> ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5058,plain,
% 48.76/31.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5057])).
% 48.76/31.69 tff(5059,plain,
% 48.76/31.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5058, 5056])).
% 48.76/31.69 tff(5060,plain,
% 48.76/31.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5061,plain,
% 48.76/31.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5060, 5059])).
% 48.76/31.69 tff(5062,plain,
% 48.76/31.69 ((~v90(constB36, 0)) | (~v100(constB36))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5061, 963, 5055])).
% 48.76/31.69 tff(5063,plain,
% 48.76/31.69 (~v90(constB36, 0)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5062, 4958])).
% 48.76/31.69 tff(5064,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5065,plain,
% 48.76/31.69 (((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))) <=> (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5066,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5065])).
% 48.76/31.69 tff(5067,plain,
% 48.76/31.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5066, 5064])).
% 48.76/31.69 tff(5068,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5069,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 48.76/31.69 tff(5070,plain,
% 48.76/31.69 (v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5069, 164, 4986])).
% 48.76/31.69 tff(5071,plain,
% 48.76/31.69 (v90(constB36, 0) | (~v90(constB37, 0))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5070, 4998])).
% 48.76/31.69 tff(5072,plain,
% 48.76/31.69 (~v90(constB37, 0)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5071, 5063])).
% 48.76/31.69 tff(5073,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5074,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5075,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5074, 5073])).
% 48.76/31.69 tff(5076,plain,
% 48.76/31.69 (v125(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5075, 1953, 5072, 5038, 5007])).
% 48.76/31.69 tff(5077,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB37)) | v113(constB37))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5078,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5079,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB37)) | v113(constB37)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 48.76/31.69 tff(5080,plain,
% 48.76/31.69 (v113(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5079, 1964, 5076])).
% 48.76/31.69 tff(5081,assumption,(v26(constB37)), introduced(assumption)).
% 48.76/31.69 tff(5082,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5083,plain,
% 48.76/31.69 ($false),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5082, 43, 5081])).
% 48.76/31.69 tff(5084,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 48.76/31.69 tff(5085,plain,
% 48.76/31.69 (((~![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) | (~v113(constB37)) | v112(constB37))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5086,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5087,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 48.76/31.69 tff(5088,plain,
% 48.76/31.69 ((~v113(constB37)) | v112(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5087, 280, 5084])).
% 48.76/31.69 tff(5089,plain,
% 48.76/31.69 (v112(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5088, 5080])).
% 48.76/31.69 tff(5090,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5091,plain,
% 48.76/31.69 (((~v112(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v112(constB37)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5092,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37))))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5091])).
% 48.76/31.69 tff(5093,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5092, 5090])).
% 48.76/31.69 tff(5094,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5095,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5094, 5093])).
% 48.76/31.69 tff(5096,plain,
% 48.76/31.69 (v108(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5095, 292, 5089])).
% 48.76/31.69 tff(5097,plain,
% 48.76/31.69 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5098,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 48.76/31.69 tff(5099,plain,
% 48.76/31.69 (nextState(constB37, constB38)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5098, 5097])).
% 48.76/31.69 tff(5100,plain,
% 48.76/31.69 (((~![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)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5101,plain,
% 48.76/31.69 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5102,plain,
% 48.76/31.69 (((~![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))))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5101])).
% 48.76/31.69 tff(5103,plain,
% 48.76/31.69 (((~![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)))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5102, 5100])).
% 48.76/31.69 tff(5104,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5105,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 48.76/31.69 tff(5106,plain,
% 48.76/31.69 (v110(constB38) | (~v108(constB37))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5105, 312, 5099])).
% 48.76/31.69 tff(5107,plain,
% 48.76/31.69 (v110(constB38)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5106, 5096])).
% 48.76/31.69 tff(5108,plain,
% 48.76/31.69 (((~![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)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5109,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5110,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5109, 5108])).
% 48.76/31.69 tff(5111,plain,
% 48.76/31.69 (~v104(constB38)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5110, 330, 5099, 4983])).
% 48.76/31.69 tff(5112,plain,
% 48.76/31.69 (((~![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)) | v102(constB38) | v104(constB38))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5113,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5114,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5113, 5112])).
% 48.76/31.69 tff(5115,plain,
% 48.76/31.69 (v102(constB38) | v104(constB38)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5114, 344, 5099])).
% 48.76/31.69 tff(5116,plain,
% 48.76/31.69 (v102(constB38)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5115, 5111])).
% 48.76/31.69 tff(5117,plain,
% 48.76/31.69 (v1(constB38) <=> v1(constB38)),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5118,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 48.76/31.69 tff(5119,plain,
% 48.76/31.69 (v1(constB38)),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5118, 5117])).
% 48.76/31.69 tff(5120,plain,
% 48.76/31.69 (((~![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)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5121,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5122,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5121, 5120])).
% 48.76/31.69 tff(5123,plain,
% 48.76/31.69 (v101(constB38) | (~v102(constB38))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5122, 362, 5099, 5119])).
% 48.76/31.69 tff(5124,plain,
% 48.76/31.69 (v101(constB38)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5123, 5116])).
% 48.76/31.69 tff(5125,plain,
% 48.76/31.69 (((~![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)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5126,plain,
% 48.76/31.69 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5127,plain,
% 48.76/31.69 (((~![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))))),
% 48.76/31.69 inference(monotonicity,[status(thm)],[5126])).
% 48.76/31.69 tff(5128,plain,
% 48.76/31.69 (((~![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)))),
% 48.76/31.69 inference(transitivity,[status(thm)],[5127, 5125])).
% 48.76/31.69 tff(5129,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5130,plain,
% 48.76/31.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5129, 5128])).
% 48.76/31.69 tff(5131,plain,
% 48.76/31.69 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5130, 377, 5099])).
% 48.76/31.69 tff(5132,plain,
% 48.76/31.69 (v100(constB38) | (~v110(constB38))),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5131, 5124])).
% 48.76/31.69 tff(5133,plain,
% 48.76/31.69 (v100(constB38)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5132, 5107])).
% 48.76/31.69 tff(5134,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5135,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5136,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 48.76/31.69 tff(5137,plain,
% 48.76/31.69 (~v121(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5136, 2028, 5007])).
% 48.76/31.69 tff(5138,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5139,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5140,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 48.76/31.69 tff(5141,plain,
% 48.76/31.69 (~v122(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5140, 2039, 5007])).
% 48.76/31.69 tff(5142,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5143,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5144,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 48.76/31.69 tff(5145,plain,
% 48.76/31.69 (~v119(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5144, 2050, 5038])).
% 48.76/31.69 tff(5146,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5147,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5148,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5147, 5146])).
% 48.76/31.69 tff(5149,plain,
% 48.76/31.69 (~v123(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5148, 2072, 5038])).
% 48.76/31.69 tff(5150,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5151,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5152,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5151, 5150])).
% 48.76/31.69 tff(5153,plain,
% 48.76/31.69 (~v120(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5152, 2061, 5038])).
% 48.76/31.69 tff(5154,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5155,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5156,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5155, 5154])).
% 48.76/31.69 tff(5157,plain,
% 48.76/31.69 (~v124(constB37)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5156, 2083, 5038])).
% 48.76/31.69 tff(5158,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5159,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 48.76/31.69 inference(quant_inst,[status(thm)],[])).
% 48.76/31.69 tff(5160,plain,
% 48.76/31.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2))),
% 48.76/31.69 inference(modus_ponens,[status(thm)],[5159, 5158])).
% 48.76/31.69 tff(5161,plain,
% 48.76/31.69 (~v130(constB37, 2)),
% 48.76/31.69 inference(unit_resolution,[status(thm)],[5160, 2097, 5157, 5153, 5149, 5145, 5141, 5137])).
% 48.76/31.69 tff(5162,plain,
% 48.76/31.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.69 tff(5163,plain,
% 48.76/31.69 ((v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2))) <=> ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 48.76/31.69 inference(rewrite,[status(thm)],[])).
% 48.76/31.70 tff(5164,plain,
% 48.76/31.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)))),
% 48.76/31.70 inference(monotonicity,[status(thm)],[5163])).
% 48.76/31.70 tff(5165,plain,
% 48.76/31.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 48.76/31.70 inference(transitivity,[status(thm)],[5164, 5162])).
% 48.76/31.70 tff(5166,plain,
% 48.76/31.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))),
% 48.76/31.70 inference(quant_inst,[status(thm)],[])).
% 48.76/31.70 tff(5167,plain,
% 48.76/31.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)),
% 48.76/31.70 inference(modus_ponens,[status(thm)],[5166, 5165])).
% 48.76/31.70 tff(5168,plain,
% 48.76/31.70 ((~v127(constB37, 2)) | v130(constB37, 2)),
% 48.76/31.70 inference(unit_resolution,[status(thm)],[5167, 593, 5084])).
% 48.76/31.70 tff(5169,plain,
% 48.76/31.70 (~v127(constB37, 2)),
% 48.76/31.70 inference(unit_resolution,[status(thm)],[5168, 5161])).
% 48.76/31.70 tff(5170,plain,
% 48.76/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 48.76/31.70 inference(rewrite,[status(thm)],[])).
% 48.76/31.70 tff(5171,plain,
% 48.76/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 48.76/31.70 inference(quant_inst,[status(thm)],[])).
% 48.76/31.70 tff(5172,plain,
% 48.76/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2))),
% 48.76/31.70 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 48.76/31.70 tff(5173,plain,
% 48.76/31.70 (v127(constB37, 2) | (~v129(constB38, 2))),
% 48.76/31.70 inference(unit_resolution,[status(thm)],[5172, 611, 5099])).
% 48.76/31.70 tff(5174,plain,
% 48.76/31.70 (~v129(constB38, 2)),
% 48.76/31.70 inference(unit_resolution,[status(thm)],[5173, 5169])).
% 48.76/31.70 tff(5175,plain,
% 48.76/31.70 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 48.76/31.70 inference(rewrite,[status(thm)],[])).
% 48.76/31.70 tff(5176,plain,
% 48.76/31.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 48.76/31.70 inference(quant_inst,[status(thm)],[])).
% 48.76/31.70 tff(5177,plain,
% 48.76/31.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38))),
% 48.76/31.70 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 48.76/31.70 tff(5178,plain,
% 48.76/31.70 ((~v90(constB38, 2)) | (~v100(constB38))),
% 48.76/31.70 inference(unit_resolution,[status(thm)],[5177, 626, 5174])).
% 48.76/31.70 tff(5179,plain,
% 48.76/31.70 (~v90(constB38, 2)),
% 48.76/31.70 inference(unit_resolution,[status(thm)],[5178, 5133])).
% 48.76/31.70 tff(5180,plain,
% 48.76/31.70 ((~v1(constB39)) <=> (~v1(constB39))),
% 48.76/31.70 inference(rewrite,[status(thm)],[])).
% 48.76/31.70 tff(5181,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 48.76/31.70 tff(5182,plain,
% 48.76/31.70 (~v1(constB39)),
% 48.76/31.70 inference(modus_ponens,[status(thm)],[5181, 5180])).
% 48.76/31.70 tff(5183,plain,
% 48.76/31.70 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5184,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 48.77/31.70 tff(5185,plain,
% 48.77/31.70 (nextState(constB38, constB39)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 48.77/31.70 tff(5186,plain,
% 48.77/31.70 (((~![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)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5187,plain,
% 48.77/31.70 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5188,plain,
% 48.77/31.70 (((~![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))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5187])).
% 48.77/31.70 tff(5189,plain,
% 48.77/31.70 (((~![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)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5188, 5186])).
% 48.77/31.70 tff(5190,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5191,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 48.77/31.70 tff(5192,plain,
% 48.77/31.70 (~v101(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5191, 90, 5185, 5182])).
% 48.77/31.70 tff(5193,plain,
% 48.77/31.70 (((~![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)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5194,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5195,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 48.77/31.70 tff(5196,plain,
% 48.77/31.70 (v101(constB39) | (~v100(constB39))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5195, 107, 5185])).
% 48.77/31.70 tff(5197,plain,
% 48.77/31.70 (~v100(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5196, 5192])).
% 48.77/31.70 tff(5198,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5199,plain,
% 48.77/31.70 (((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))) <=> (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5200,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5199])).
% 48.77/31.70 tff(5201,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5200, 5198])).
% 48.77/31.70 tff(5202,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5203,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5202, 5201])).
% 48.77/31.70 tff(5204,plain,
% 48.77/31.70 (v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5203, 122, 5185])).
% 48.77/31.70 tff(5205,plain,
% 48.77/31.70 (v90(constB38, 2) | (~v90(constB39, 2))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5204, 5197])).
% 48.77/31.70 tff(5206,plain,
% 48.77/31.70 (~v90(constB39, 2)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5205, 5179])).
% 48.77/31.70 tff(5207,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5208,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5209,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 48.77/31.70 tff(5210,plain,
% 48.77/31.70 (~v130(constB37, 1)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5209, 2156, 5157, 5153, 5149, 5145, 5141, 5137])).
% 48.77/31.70 tff(5211,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5212,plain,
% 48.77/31.70 ((v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1))) <=> ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5213,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5212])).
% 48.77/31.70 tff(5214,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5213, 5211])).
% 48.77/31.70 tff(5215,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5216,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 48.77/31.70 tff(5217,plain,
% 48.77/31.70 ((~v127(constB37, 1)) | v130(constB37, 1)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5216, 408, 5084])).
% 48.77/31.70 tff(5218,plain,
% 48.77/31.70 (~v127(constB37, 1)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5217, 5210])).
% 48.77/31.70 tff(5219,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5220,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5221,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 48.77/31.70 tff(5222,plain,
% 48.77/31.70 (v127(constB37, 1) | (~v129(constB38, 1))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5221, 438, 5099])).
% 48.77/31.70 tff(5223,plain,
% 48.77/31.70 (~v129(constB38, 1)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5222, 5218])).
% 48.77/31.70 tff(5224,plain,
% 48.77/31.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5225,plain,
% 48.77/31.70 (((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1)) <=> ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5226,plain,
% 48.77/31.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5225])).
% 48.77/31.70 tff(5227,plain,
% 48.77/31.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5226, 5224])).
% 48.77/31.70 tff(5228,plain,
% 48.77/31.70 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5229,plain,
% 48.77/31.70 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5228, 5227])).
% 48.77/31.70 tff(5230,plain,
% 48.77/31.70 ((~v90(constB38, 1)) | (~v100(constB38))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5229, 453, 5223])).
% 48.77/31.70 tff(5231,plain,
% 48.77/31.70 (~v90(constB38, 1)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5230, 5133])).
% 48.77/31.70 tff(5232,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5233,plain,
% 48.77/31.70 (((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))) <=> (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5234,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5233])).
% 48.77/31.70 tff(5235,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5234, 5232])).
% 48.77/31.70 tff(5236,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5237,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 48.77/31.70 tff(5238,plain,
% 48.77/31.70 (v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5237, 143, 5185])).
% 48.77/31.70 tff(5239,plain,
% 48.77/31.70 (v90(constB38, 1) | (~v90(constB39, 1))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5238, 5197])).
% 48.77/31.70 tff(5240,plain,
% 48.77/31.70 (~v90(constB39, 1)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5239, 5231])).
% 48.77/31.70 tff(5241,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5242,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5243,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5242, 5241])).
% 48.77/31.70 tff(5244,plain,
% 48.77/31.70 (v130(constB37, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5243, 2200, 5157, 5153, 5149, 5145, 5141, 5137])).
% 48.77/31.70 tff(5245,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5246,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5247,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5246, 5245])).
% 48.77/31.70 tff(5248,plain,
% 48.77/31.70 ((~v130(constB37, 0)) | v127(constB37, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5247, 515, 5084])).
% 48.77/31.70 tff(5249,plain,
% 48.77/31.70 (v127(constB37, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5248, 5244])).
% 48.77/31.70 tff(5250,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5251,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5252,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5251, 5250])).
% 48.77/31.70 tff(5253,plain,
% 48.77/31.70 ((~v127(constB37, 0)) | v129(constB38, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5252, 530, 5099])).
% 48.77/31.70 tff(5254,plain,
% 48.77/31.70 (v129(constB38, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5253, 5249])).
% 48.77/31.70 tff(5255,plain,
% 48.77/31.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5256,plain,
% 48.77/31.70 ((v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0))) <=> (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5257,plain,
% 48.77/31.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5256])).
% 48.77/31.70 tff(5258,plain,
% 48.77/31.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5257, 5255])).
% 48.77/31.70 tff(5259,plain,
% 48.77/31.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5260,plain,
% 48.77/31.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5259, 5258])).
% 48.77/31.70 tff(5261,plain,
% 48.77/31.70 (v90(constB38, 0) | (~v100(constB38))),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5260, 545, 5254])).
% 48.77/31.70 tff(5262,plain,
% 48.77/31.70 (v90(constB38, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5261, 5133])).
% 48.77/31.70 tff(5263,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5264,plain,
% 48.77/31.70 (((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)) <=> ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5265,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5264])).
% 48.77/31.70 tff(5266,plain,
% 48.77/31.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5265, 5263])).
% 48.77/31.70 tff(5267,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5268,plain,
% 48.77/31.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 48.77/31.70 tff(5269,plain,
% 48.77/31.70 ((~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5268, 563, 5185])).
% 48.77/31.70 tff(5270,plain,
% 48.77/31.70 ((~v90(constB38, 0)) | v90(constB39, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5269, 5197])).
% 48.77/31.70 tff(5271,plain,
% 48.77/31.70 (v90(constB39, 0)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5270, 5262])).
% 48.77/31.70 tff(5272,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5273,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5274,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5273, 5272])).
% 48.77/31.70 tff(5275,plain,
% 48.77/31.70 (v120(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5274, 651, 5271, 5240, 5206])).
% 48.77/31.70 tff(5276,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB39)) | v118(constB39))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5277,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5278,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB39)) | v118(constB39)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 48.77/31.70 tff(5279,plain,
% 48.77/31.70 (v118(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5278, 665, 5275])).
% 48.77/31.70 tff(5280,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB39)) | v117(constB39))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5281,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5282,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB39)) | v117(constB39)),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5281, 5280])).
% 48.77/31.70 tff(5283,plain,
% 48.77/31.70 (v117(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5282, 210, 5279])).
% 48.77/31.70 tff(5284,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5285,plain,
% 48.77/31.70 (((~v117(constB39)) | v116(constB39)) <=> (v116(constB39) | (~v117(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5286,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5285])).
% 48.77/31.70 tff(5287,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5286, 5284])).
% 48.77/31.70 tff(5288,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5289,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5288, 5287])).
% 48.77/31.70 tff(5290,plain,
% 48.77/31.70 (v116(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5289, 224, 5283])).
% 48.77/31.70 tff(5291,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5292,plain,
% 48.77/31.70 (((~v116(constB39)) | v115(constB39)) <=> (v115(constB39) | (~v116(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5293,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v116(constB39))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5292])).
% 48.77/31.70 tff(5294,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5293, 5291])).
% 48.77/31.70 tff(5295,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5296,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 48.77/31.70 tff(5297,plain,
% 48.77/31.70 (v115(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5296, 238, 5290])).
% 48.77/31.70 tff(5298,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5299,plain,
% 48.77/31.70 (((~v115(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v115(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5300,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5299])).
% 48.77/31.70 tff(5301,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5300, 5298])).
% 48.77/31.70 tff(5302,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5303,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39))),
% 48.77/31.70 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 48.77/31.70 tff(5304,plain,
% 48.77/31.70 (v114(constB39)),
% 48.77/31.70 inference(unit_resolution,[status(thm)],[5303, 252, 5297])).
% 48.77/31.70 tff(5305,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5306,plain,
% 48.77/31.70 (((~v114(constB39)) | v113(constB39)) <=> (v113(constB39) | (~v114(constB39)))),
% 48.77/31.70 inference(rewrite,[status(thm)],[])).
% 48.77/31.70 tff(5307,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39))))),
% 48.77/31.70 inference(monotonicity,[status(thm)],[5306])).
% 48.77/31.70 tff(5308,plain,
% 48.77/31.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 48.77/31.70 inference(transitivity,[status(thm)],[5307, 5305])).
% 48.77/31.70 tff(5309,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))),
% 48.77/31.70 inference(quant_inst,[status(thm)],[])).
% 48.77/31.70 tff(5310,plain,
% 48.77/31.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5309, 5308])).
% 48.77/31.71 tff(5311,plain,
% 48.77/31.71 (v113(constB39)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5310, 266, 5304])).
% 48.77/31.71 tff(5312,assumption,(v26(constB39)), introduced(assumption)).
% 48.77/31.71 tff(5313,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5314,plain,
% 48.77/31.71 ($false),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5313, 43, 5312])).
% 48.77/31.71 tff(5315,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 48.77/31.71 tff(5316,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5317,plain,
% 48.77/31.71 ((v26(constB39) | (~v113(constB39)) | v112(constB39)) <=> (v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5318,plain,
% 48.77/31.71 (((~![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) | v112(constB39) | (~v113(constB39))))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5317])).
% 48.77/31.71 tff(5319,plain,
% 48.77/31.71 (((~![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) | v112(constB39) | (~v113(constB39)))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5318, 5316])).
% 48.77/31.71 tff(5320,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5321,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 48.77/31.71 tff(5322,plain,
% 48.77/31.71 (v112(constB39) | (~v113(constB39))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5321, 280, 5315])).
% 48.77/31.71 tff(5323,plain,
% 48.77/31.71 (v112(constB39)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5322, 5311])).
% 48.77/31.71 tff(5324,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5325,plain,
% 48.77/31.71 (((~v112(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v112(constB39)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5326,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39))))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5325])).
% 48.77/31.71 tff(5327,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5326, 5324])).
% 48.77/31.71 tff(5328,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5329,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 48.77/31.71 tff(5330,plain,
% 48.77/31.71 (v108(constB39)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5329, 292, 5323])).
% 48.77/31.71 tff(5331,plain,
% 48.77/31.71 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5332,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 48.77/31.71 tff(5333,plain,
% 48.77/31.71 (nextState(constB39, constB40)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 48.77/31.71 tff(5334,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5335,plain,
% 48.77/31.71 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5336,plain,
% 48.77/31.71 (((~![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))))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5335])).
% 48.77/31.71 tff(5337,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5336, 5334])).
% 48.77/31.71 tff(5338,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5339,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5338, 5337])).
% 48.77/31.71 tff(5340,plain,
% 48.77/31.71 (v110(constB40) | (~v108(constB39))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5339, 312, 5333])).
% 48.77/31.71 tff(5341,plain,
% 48.77/31.71 (v110(constB40)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5340, 5330])).
% 48.77/31.71 tff(5342,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5343,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5344,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 48.77/31.71 tff(5345,plain,
% 48.77/31.71 (~v104(constB40)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5344, 330, 5333, 5182])).
% 48.77/31.71 tff(5346,plain,
% 48.77/31.71 (((~![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)) | v102(constB40) | v104(constB40))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5347,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5348,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 48.77/31.71 tff(5349,plain,
% 48.77/31.71 (v102(constB40) | v104(constB40)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5348, 344, 5333])).
% 48.77/31.71 tff(5350,plain,
% 48.77/31.71 (v102(constB40)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5349, 5345])).
% 48.77/31.71 tff(5351,plain,
% 48.77/31.71 (v1(constB40) <=> v1(constB40)),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5352,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 48.77/31.71 tff(5353,plain,
% 48.77/31.71 (v1(constB40)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 48.77/31.71 tff(5354,plain,
% 48.77/31.71 (((~![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)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5355,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5356,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 48.77/31.71 tff(5357,plain,
% 48.77/31.71 (v101(constB40) | (~v102(constB40))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5356, 362, 5333, 5353])).
% 48.77/31.71 tff(5358,plain,
% 48.77/31.71 (v101(constB40)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5357, 5350])).
% 48.77/31.71 tff(5359,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5360,plain,
% 48.77/31.71 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5361,plain,
% 48.77/31.71 (((~![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))))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5360])).
% 48.77/31.71 tff(5362,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5361, 5359])).
% 48.77/31.71 tff(5363,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5364,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 48.77/31.71 tff(5365,plain,
% 48.77/31.71 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5364, 377, 5333])).
% 48.77/31.71 tff(5366,plain,
% 48.77/31.71 (v100(constB40) | (~v110(constB40))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5365, 5358])).
% 48.77/31.71 tff(5367,plain,
% 48.77/31.71 (v100(constB40)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5366, 5341])).
% 48.77/31.71 tff(5368,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5369,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5370,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 48.77/31.71 tff(5371,plain,
% 48.77/31.71 (~v130(constB39, 2)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5370, 767, 5275])).
% 48.77/31.71 tff(5372,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5373,plain,
% 48.77/31.71 ((v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2))) <=> ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5374,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5373])).
% 48.77/31.71 tff(5375,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5374, 5372])).
% 48.77/31.71 tff(5376,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5377,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 48.77/31.71 tff(5378,plain,
% 48.77/31.71 ((~v127(constB39, 2)) | v130(constB39, 2)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5377, 593, 5315])).
% 48.77/31.71 tff(5379,plain,
% 48.77/31.71 (~v127(constB39, 2)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5378, 5371])).
% 48.77/31.71 tff(5380,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5381,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5382,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 48.77/31.71 tff(5383,plain,
% 48.77/31.71 (v127(constB39, 2) | (~v129(constB40, 2))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5382, 611, 5333])).
% 48.77/31.71 tff(5384,plain,
% 48.77/31.71 (~v129(constB40, 2)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5383, 5379])).
% 48.77/31.71 tff(5385,plain,
% 48.77/31.71 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5386,plain,
% 48.77/31.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5387,plain,
% 48.77/31.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 48.77/31.71 tff(5388,plain,
% 48.77/31.71 ((~v90(constB40, 2)) | (~v100(constB40))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5387, 626, 5384])).
% 48.77/31.71 tff(5389,plain,
% 48.77/31.71 (~v90(constB40, 2)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5388, 5367])).
% 48.77/31.71 tff(5390,plain,
% 48.77/31.71 ((~v1(constB41)) <=> (~v1(constB41))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5391,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 48.77/31.71 tff(5392,plain,
% 48.77/31.71 (~v1(constB41)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5391, 5390])).
% 48.77/31.71 tff(5393,plain,
% 48.77/31.71 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5394,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 48.77/31.71 tff(5395,plain,
% 48.77/31.71 (nextState(constB40, constB41)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5394, 5393])).
% 48.77/31.71 tff(5396,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5397,plain,
% 48.77/31.71 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5398,plain,
% 48.77/31.71 (((~![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))))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5397])).
% 48.77/31.71 tff(5399,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5398, 5396])).
% 48.77/31.71 tff(5400,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5401,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5400, 5399])).
% 48.77/31.71 tff(5402,plain,
% 48.77/31.71 (~v101(constB41)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5401, 90, 5395, 5392])).
% 48.77/31.71 tff(5403,plain,
% 48.77/31.71 (((~![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)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5404,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5405,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5404, 5403])).
% 48.77/31.71 tff(5406,plain,
% 48.77/31.71 (v101(constB41) | (~v100(constB41))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5405, 107, 5395])).
% 48.77/31.71 tff(5407,plain,
% 48.77/31.71 (~v100(constB41)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5406, 5402])).
% 48.77/31.71 tff(5408,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5409,plain,
% 48.77/31.71 (((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))) <=> (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5410,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5409])).
% 48.77/31.71 tff(5411,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5410, 5408])).
% 48.77/31.71 tff(5412,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5413,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 48.77/31.71 tff(5414,plain,
% 48.77/31.71 (v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5413, 122, 5395])).
% 48.77/31.71 tff(5415,plain,
% 48.77/31.71 (v90(constB40, 2) | (~v90(constB41, 2))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5414, 5407])).
% 48.77/31.71 tff(5416,plain,
% 48.77/31.71 (~v90(constB41, 2)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5415, 5389])).
% 48.77/31.71 tff(5417,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5418,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5419,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 48.77/31.71 tff(5420,plain,
% 48.77/31.71 (v130(constB39, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5419, 838, 5275])).
% 48.77/31.71 tff(5421,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5422,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5423,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 48.77/31.71 tff(5424,plain,
% 48.77/31.71 ((~v130(constB39, 1)) | v127(constB39, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5423, 852, 5315])).
% 48.77/31.71 tff(5425,plain,
% 48.77/31.71 (v127(constB39, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5424, 5420])).
% 48.77/31.71 tff(5426,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5427,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5428,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 48.77/31.71 tff(5429,plain,
% 48.77/31.71 ((~v127(constB39, 1)) | v129(constB40, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5428, 867, 5333])).
% 48.77/31.71 tff(5430,plain,
% 48.77/31.71 (v129(constB40, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5429, 5425])).
% 48.77/31.71 tff(5431,plain,
% 48.77/31.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5432,plain,
% 48.77/31.71 ((v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1))) <=> (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5433,plain,
% 48.77/31.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5432])).
% 48.77/31.71 tff(5434,plain,
% 48.77/31.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5433, 5431])).
% 48.77/31.71 tff(5435,plain,
% 48.77/31.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5436,plain,
% 48.77/31.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5435, 5434])).
% 48.77/31.71 tff(5437,plain,
% 48.77/31.71 (v90(constB40, 1) | (~v100(constB40))),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5436, 882, 5430])).
% 48.77/31.71 tff(5438,plain,
% 48.77/31.71 (v90(constB40, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5437, 5367])).
% 48.77/31.71 tff(5439,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5440,plain,
% 48.77/31.71 (((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)) <=> ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5441,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5440])).
% 48.77/31.71 tff(5442,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5441, 5439])).
% 48.77/31.71 tff(5443,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5444,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5443, 5442])).
% 48.77/31.71 tff(5445,plain,
% 48.77/31.71 ((~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5444, 900, 5395])).
% 48.77/31.71 tff(5446,plain,
% 48.77/31.71 ((~v90(constB40, 1)) | v90(constB41, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5445, 5407])).
% 48.77/31.71 tff(5447,plain,
% 48.77/31.71 (v90(constB41, 1)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5446, 5438])).
% 48.77/31.71 tff(5448,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5449,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5450,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0))),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 48.77/31.71 tff(5451,plain,
% 48.77/31.71 (~v130(constB39, 0)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5450, 916, 5275])).
% 48.77/31.71 tff(5452,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5453,plain,
% 48.77/31.71 ((v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0))) <=> ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5454,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)))),
% 48.77/31.71 inference(monotonicity,[status(thm)],[5453])).
% 48.77/31.71 tff(5455,plain,
% 48.77/31.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 48.77/31.71 inference(transitivity,[status(thm)],[5454, 5452])).
% 48.77/31.71 tff(5456,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5457,plain,
% 48.77/31.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)),
% 48.77/31.71 inference(modus_ponens,[status(thm)],[5456, 5455])).
% 48.77/31.71 tff(5458,plain,
% 48.77/31.71 ((~v127(constB39, 0)) | v130(constB39, 0)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5457, 930, 5315])).
% 48.77/31.71 tff(5459,plain,
% 48.77/31.71 (~v127(constB39, 0)),
% 48.77/31.71 inference(unit_resolution,[status(thm)],[5458, 5451])).
% 48.77/31.71 tff(5460,plain,
% 48.77/31.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 48.77/31.71 inference(rewrite,[status(thm)],[])).
% 48.77/31.71 tff(5461,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 48.77/31.71 inference(quant_inst,[status(thm)],[])).
% 48.77/31.71 tff(5462,plain,
% 48.77/31.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5461, 5460])).
% 48.77/31.72 tff(5463,plain,
% 48.77/31.72 (v127(constB39, 0) | (~v129(constB40, 0))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5462, 948, 5333])).
% 48.77/31.72 tff(5464,plain,
% 48.77/31.72 (~v129(constB40, 0)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5463, 5459])).
% 48.77/31.72 tff(5465,plain,
% 48.77/31.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5466,plain,
% 48.77/31.72 (((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0)) <=> ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5467,plain,
% 48.77/31.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5466])).
% 48.77/31.72 tff(5468,plain,
% 48.77/31.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5467, 5465])).
% 48.77/31.72 tff(5469,plain,
% 48.77/31.72 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5470,plain,
% 48.77/31.72 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 48.77/31.72 tff(5471,plain,
% 48.77/31.72 ((~v90(constB40, 0)) | (~v100(constB40))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5470, 963, 5464])).
% 48.77/31.72 tff(5472,plain,
% 48.77/31.72 (~v90(constB40, 0)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5471, 5367])).
% 48.77/31.72 tff(5473,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5474,plain,
% 48.77/31.72 (((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))) <=> (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5475,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5474])).
% 48.77/31.72 tff(5476,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5475, 5473])).
% 48.77/31.72 tff(5477,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5478,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 48.77/31.72 tff(5479,plain,
% 48.77/31.72 (v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5478, 164, 5395])).
% 48.77/31.72 tff(5480,plain,
% 48.77/31.72 (v90(constB40, 0) | (~v90(constB41, 0))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5479, 5407])).
% 48.77/31.72 tff(5481,plain,
% 48.77/31.72 (~v90(constB41, 0)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5480, 5472])).
% 48.77/31.72 tff(5482,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5483,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5484,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 48.77/31.72 tff(5485,plain,
% 48.77/31.72 (v121(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5484, 990, 5481, 5447, 5416])).
% 48.77/31.72 tff(5486,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5487,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5488,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 48.77/31.72 tff(5489,plain,
% 48.77/31.72 (v117(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5488, 1001, 5485])).
% 48.77/31.72 tff(5490,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5491,plain,
% 48.77/31.72 (((~v117(constB41)) | v116(constB41)) <=> (v116(constB41) | (~v117(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5492,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5491])).
% 48.77/31.72 tff(5493,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5492, 5490])).
% 48.77/31.72 tff(5494,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5495,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 48.77/31.72 tff(5496,plain,
% 48.77/31.72 (v116(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5495, 224, 5489])).
% 48.77/31.72 tff(5497,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB41)) | v115(constB41))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5498,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5499,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB41)) | v115(constB41)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 48.77/31.72 tff(5500,plain,
% 48.77/31.72 (v115(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5499, 238, 5496])).
% 48.77/31.72 tff(5501,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5502,plain,
% 48.77/31.72 (((~v115(constB41)) | v114(constB41)) <=> (v114(constB41) | (~v115(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5503,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB41) | (~v115(constB41))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5502])).
% 48.77/31.72 tff(5504,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5503, 5501])).
% 48.77/31.72 tff(5505,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5506,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5505, 5504])).
% 48.77/31.72 tff(5507,plain,
% 48.77/31.72 (v114(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5506, 252, 5500])).
% 48.77/31.72 tff(5508,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5509,plain,
% 48.77/31.72 (((~v114(constB41)) | v113(constB41)) <=> (v113(constB41) | (~v114(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5510,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5509])).
% 48.77/31.72 tff(5511,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5510, 5508])).
% 48.77/31.72 tff(5512,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5513,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 48.77/31.72 tff(5514,plain,
% 48.77/31.72 (v113(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5513, 266, 5507])).
% 48.77/31.72 tff(5515,assumption,(v26(constB41)), introduced(assumption)).
% 48.77/31.72 tff(5516,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5517,plain,
% 48.77/31.72 ($false),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5516, 43, 5515])).
% 48.77/31.72 tff(5518,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 48.77/31.72 tff(5519,plain,
% 48.77/31.72 (((~![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))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5520,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5521,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5520, 5519])).
% 48.77/31.72 tff(5522,plain,
% 48.77/31.72 ((~v113(constB41)) | v112(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5521, 280, 5518])).
% 48.77/31.72 tff(5523,plain,
% 48.77/31.72 (v112(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5522, 5514])).
% 48.77/31.72 tff(5524,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5525,plain,
% 48.77/31.72 (((~v112(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v112(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5526,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5525])).
% 48.77/31.72 tff(5527,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5526, 5524])).
% 48.77/31.72 tff(5528,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5529,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5528, 5527])).
% 48.77/31.72 tff(5530,plain,
% 48.77/31.72 (v108(constB41)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5529, 292, 5523])).
% 48.77/31.72 tff(5531,plain,
% 48.77/31.72 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5532,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 48.77/31.72 tff(5533,plain,
% 48.77/31.72 (nextState(constB41, constB42)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 48.77/31.72 tff(5534,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5535,plain,
% 48.77/31.72 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5536,plain,
% 48.77/31.72 (((~![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))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5535])).
% 48.77/31.72 tff(5537,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5536, 5534])).
% 48.77/31.72 tff(5538,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5539,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 48.77/31.72 tff(5540,plain,
% 48.77/31.72 (v110(constB42) | (~v108(constB41))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5539, 312, 5533])).
% 48.77/31.72 tff(5541,plain,
% 48.77/31.72 (v110(constB42)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5540, 5530])).
% 48.77/31.72 tff(5542,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5543,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5544,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5543, 5542])).
% 48.77/31.72 tff(5545,plain,
% 48.77/31.72 (~v104(constB42)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5544, 330, 5533, 5392])).
% 48.77/31.72 tff(5546,plain,
% 48.77/31.72 (((~![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)) | v102(constB42) | v104(constB42))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5547,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5548,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 48.77/31.72 tff(5549,plain,
% 48.77/31.72 (v102(constB42) | v104(constB42)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5548, 344, 5533])).
% 48.77/31.72 tff(5550,plain,
% 48.77/31.72 (v102(constB42)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5549, 5545])).
% 48.77/31.72 tff(5551,plain,
% 48.77/31.72 (v1(constB42) <=> v1(constB42)),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5552,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 48.77/31.72 tff(5553,plain,
% 48.77/31.72 (v1(constB42)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 48.77/31.72 tff(5554,plain,
% 48.77/31.72 (((~![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)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5555,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5556,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5555, 5554])).
% 48.77/31.72 tff(5557,plain,
% 48.77/31.72 (v101(constB42) | (~v102(constB42))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5556, 362, 5533, 5553])).
% 48.77/31.72 tff(5558,plain,
% 48.77/31.72 (v101(constB42)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5557, 5550])).
% 48.77/31.72 tff(5559,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5560,plain,
% 48.77/31.72 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5561,plain,
% 48.77/31.72 (((~![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))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5560])).
% 48.77/31.72 tff(5562,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5561, 5559])).
% 48.77/31.72 tff(5563,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5564,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 48.77/31.72 tff(5565,plain,
% 48.77/31.72 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5564, 377, 5533])).
% 48.77/31.72 tff(5566,plain,
% 48.77/31.72 (v100(constB42) | (~v110(constB42))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5565, 5558])).
% 48.77/31.72 tff(5567,plain,
% 48.77/31.72 (v100(constB42)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5566, 5541])).
% 48.77/31.72 tff(5568,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5569,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5570,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5569, 5568])).
% 48.77/31.72 tff(5571,plain,
% 48.77/31.72 (~v130(constB41, 2)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5570, 1090, 5485])).
% 48.77/31.72 tff(5572,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5573,plain,
% 48.77/31.72 ((v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2))) <=> ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5574,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5573])).
% 48.77/31.72 tff(5575,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5574, 5572])).
% 48.77/31.72 tff(5576,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5577,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5576, 5575])).
% 48.77/31.72 tff(5578,plain,
% 48.77/31.72 ((~v127(constB41, 2)) | v130(constB41, 2)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5577, 593, 5518])).
% 48.77/31.72 tff(5579,plain,
% 48.77/31.72 (~v127(constB41, 2)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5578, 5571])).
% 48.77/31.72 tff(5580,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5581,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5582,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 48.77/31.72 tff(5583,plain,
% 48.77/31.72 (v127(constB41, 2) | (~v129(constB42, 2))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5582, 611, 5533])).
% 48.77/31.72 tff(5584,plain,
% 48.77/31.72 (~v129(constB42, 2)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5583, 5579])).
% 48.77/31.72 tff(5585,plain,
% 48.77/31.72 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5586,plain,
% 48.77/31.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5587,plain,
% 48.77/31.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5586, 5585])).
% 48.77/31.72 tff(5588,plain,
% 48.77/31.72 ((~v90(constB42, 2)) | (~v100(constB42))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5587, 626, 5584])).
% 48.77/31.72 tff(5589,plain,
% 48.77/31.72 (~v90(constB42, 2)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5588, 5567])).
% 48.77/31.72 tff(5590,plain,
% 48.77/31.72 ((~v1(constB43)) <=> (~v1(constB43))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5591,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 48.77/31.72 tff(5592,plain,
% 48.77/31.72 (~v1(constB43)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 48.77/31.72 tff(5593,plain,
% 48.77/31.72 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5594,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 48.77/31.72 tff(5595,plain,
% 48.77/31.72 (nextState(constB42, constB43)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 48.77/31.72 tff(5596,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5597,plain,
% 48.77/31.72 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5598,plain,
% 48.77/31.72 (((~![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))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5597])).
% 48.77/31.72 tff(5599,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5598, 5596])).
% 48.77/31.72 tff(5600,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5601,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5600, 5599])).
% 48.77/31.72 tff(5602,plain,
% 48.77/31.72 (~v101(constB43)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5601, 90, 5595, 5592])).
% 48.77/31.72 tff(5603,plain,
% 48.77/31.72 (((~![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)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5604,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5605,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 48.77/31.72 tff(5606,plain,
% 48.77/31.72 (v101(constB43) | (~v100(constB43))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5605, 107, 5595])).
% 48.77/31.72 tff(5607,plain,
% 48.77/31.72 (~v100(constB43)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5606, 5602])).
% 48.77/31.72 tff(5608,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5609,plain,
% 48.77/31.72 (((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))) <=> (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5610,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5609])).
% 48.77/31.72 tff(5611,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5610, 5608])).
% 48.77/31.72 tff(5612,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5613,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5612, 5611])).
% 48.77/31.72 tff(5614,plain,
% 48.77/31.72 (v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5613, 122, 5595])).
% 48.77/31.72 tff(5615,plain,
% 48.77/31.72 (v90(constB42, 2) | (~v90(constB43, 2))),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5614, 5607])).
% 48.77/31.72 tff(5616,plain,
% 48.77/31.72 (~v90(constB43, 2)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5615, 5589])).
% 48.77/31.72 tff(5617,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5618,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5619,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5618, 5617])).
% 48.77/31.72 tff(5620,plain,
% 48.77/31.72 (v130(constB41, 1)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5619, 1146, 5485])).
% 48.77/31.72 tff(5621,plain,
% 48.77/31.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5622,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5623,plain,
% 48.77/31.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 48.77/31.72 tff(5624,plain,
% 48.77/31.72 ((~v130(constB41, 1)) | v127(constB41, 1)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5623, 852, 5518])).
% 48.77/31.72 tff(5625,plain,
% 48.77/31.72 (v127(constB41, 1)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5624, 5620])).
% 48.77/31.72 tff(5626,plain,
% 48.77/31.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5627,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5628,plain,
% 48.77/31.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1)),
% 48.77/31.72 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 48.77/31.72 tff(5629,plain,
% 48.77/31.72 ((~v127(constB41, 1)) | v129(constB42, 1)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5628, 867, 5533])).
% 48.77/31.72 tff(5630,plain,
% 48.77/31.72 (v129(constB42, 1)),
% 48.77/31.72 inference(unit_resolution,[status(thm)],[5629, 5625])).
% 48.77/31.72 tff(5631,plain,
% 48.77/31.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5632,plain,
% 48.77/31.72 ((v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1))) <=> (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 48.77/31.72 inference(rewrite,[status(thm)],[])).
% 48.77/31.72 tff(5633,plain,
% 48.77/31.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))))),
% 48.77/31.72 inference(monotonicity,[status(thm)],[5632])).
% 48.77/31.72 tff(5634,plain,
% 48.77/31.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 48.77/31.72 inference(transitivity,[status(thm)],[5633, 5631])).
% 48.77/31.72 tff(5635,plain,
% 48.77/31.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))),
% 48.77/31.72 inference(quant_inst,[status(thm)],[])).
% 48.77/31.72 tff(5636,plain,
% 48.77/31.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))),
% 48.77/31.73 inference(modus_ponens,[status(thm)],[5635, 5634])).
% 48.77/31.73 tff(5637,plain,
% 48.77/31.73 (v90(constB42, 1) | (~v100(constB42))),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5636, 882, 5630])).
% 48.77/31.73 tff(5638,plain,
% 48.77/31.73 (v90(constB42, 1)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5637, 5567])).
% 48.77/31.73 tff(5639,plain,
% 48.77/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 48.77/31.73 inference(rewrite,[status(thm)],[])).
% 48.77/31.73 tff(5640,plain,
% 48.77/31.73 (((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)) <=> ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 48.77/31.73 inference(rewrite,[status(thm)],[])).
% 48.77/31.73 tff(5641,plain,
% 48.77/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)))),
% 48.77/31.73 inference(monotonicity,[status(thm)],[5640])).
% 48.77/31.73 tff(5642,plain,
% 48.77/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 48.77/31.73 inference(transitivity,[status(thm)],[5641, 5639])).
% 48.77/31.73 tff(5643,plain,
% 48.77/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))),
% 48.77/31.73 inference(quant_inst,[status(thm)],[])).
% 48.77/31.73 tff(5644,plain,
% 48.77/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)),
% 48.77/31.73 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 48.77/31.73 tff(5645,plain,
% 48.77/31.73 ((~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5644, 900, 5595])).
% 48.77/31.73 tff(5646,plain,
% 48.77/31.73 ((~v90(constB42, 1)) | v90(constB43, 1)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5645, 5607])).
% 48.77/31.73 tff(5647,plain,
% 48.77/31.73 (v90(constB43, 1)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5646, 5638])).
% 48.77/31.73 tff(5648,plain,
% 48.77/31.73 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0))),
% 48.77/31.73 inference(rewrite,[status(thm)],[])).
% 48.77/31.73 tff(5649,plain,
% 48.77/31.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))),
% 48.77/31.73 inference(quant_inst,[status(thm)],[])).
% 48.77/31.73 tff(5650,plain,
% 48.77/31.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0)),
% 48.77/31.73 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 48.77/31.73 tff(5651,plain,
% 48.77/31.73 (v130(constB41, 0)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5650, 1184, 5485])).
% 48.77/31.73 tff(5652,plain,
% 48.77/31.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 48.77/31.73 inference(rewrite,[status(thm)],[])).
% 48.77/31.73 tff(5653,plain,
% 48.77/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 48.77/31.73 inference(quant_inst,[status(thm)],[])).
% 48.77/31.73 tff(5654,plain,
% 48.77/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0)),
% 48.77/31.73 inference(modus_ponens,[status(thm)],[5653, 5652])).
% 48.77/31.73 tff(5655,plain,
% 48.77/31.73 ((~v130(constB41, 0)) | v127(constB41, 0)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5654, 515, 5518])).
% 48.77/31.73 tff(5656,plain,
% 48.77/31.73 (v127(constB41, 0)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5655, 5651])).
% 48.77/31.73 tff(5657,plain,
% 48.77/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 48.77/31.73 inference(rewrite,[status(thm)],[])).
% 48.77/31.73 tff(5658,plain,
% 48.77/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 48.77/31.73 inference(quant_inst,[status(thm)],[])).
% 48.77/31.73 tff(5659,plain,
% 48.77/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0)),
% 48.77/31.73 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 48.77/31.73 tff(5660,plain,
% 48.77/31.73 ((~v127(constB41, 0)) | v129(constB42, 0)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5659, 530, 5533])).
% 48.77/31.73 tff(5661,plain,
% 48.77/31.73 (v129(constB42, 0)),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5660, 5656])).
% 48.77/31.73 tff(5662,plain,
% 48.77/31.73 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 48.77/31.73 inference(rewrite,[status(thm)],[])).
% 48.77/31.73 tff(5663,plain,
% 48.77/31.73 ((v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0))) <=> (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 48.77/31.73 inference(rewrite,[status(thm)],[])).
% 48.77/31.73 tff(5664,plain,
% 48.77/31.73 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))))),
% 48.77/31.73 inference(monotonicity,[status(thm)],[5663])).
% 48.77/31.73 tff(5665,plain,
% 48.77/31.73 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 48.77/31.73 inference(transitivity,[status(thm)],[5664, 5662])).
% 48.77/31.73 tff(5666,plain,
% 48.77/31.73 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))),
% 48.77/31.73 inference(quant_inst,[status(thm)],[])).
% 48.77/31.73 tff(5667,plain,
% 48.77/31.73 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))),
% 48.77/31.73 inference(modus_ponens,[status(thm)],[5666, 5665])).
% 48.77/31.73 tff(5668,plain,
% 48.77/31.73 (v90(constB42, 0) | (~v100(constB42))),
% 48.77/31.73 inference(unit_resolution,[status(thm)],[5667, 545, 5661])).
% 48.80/31.73 tff(5669,plain,
% 48.80/31.73 (v90(constB42, 0)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5668, 5567])).
% 48.80/31.73 tff(5670,plain,
% 48.80/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5671,plain,
% 48.80/31.73 (((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)) <=> ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5672,plain,
% 48.80/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5671])).
% 48.80/31.73 tff(5673,plain,
% 48.80/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5672, 5670])).
% 48.80/31.73 tff(5674,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5675,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5674, 5673])).
% 48.80/31.73 tff(5676,plain,
% 48.80/31.73 ((~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5675, 563, 5595])).
% 48.80/31.73 tff(5677,plain,
% 48.80/31.73 ((~v90(constB42, 0)) | v90(constB43, 0)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5676, 5607])).
% 48.80/31.73 tff(5678,plain,
% 48.80/31.73 (v90(constB43, 0)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5677, 5669])).
% 48.80/31.73 tff(5679,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5680,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5681,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 48.80/31.73 tff(5682,plain,
% 48.80/31.73 (v122(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5681, 1225, 5678, 5647, 5616])).
% 48.80/31.73 tff(5683,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB43) | (~v122(constB43)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5684,plain,
% 48.80/31.73 (((~v122(constB43)) | v116(constB43)) <=> (v116(constB43) | (~v122(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5685,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB43) | (~v122(constB43))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5684])).
% 48.80/31.73 tff(5686,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5685, 5683])).
% 48.80/31.73 tff(5687,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5688,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5687, 5686])).
% 48.80/31.73 tff(5689,plain,
% 48.80/31.73 (v116(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5688, 1236, 5682])).
% 48.80/31.73 tff(5690,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5691,plain,
% 48.80/31.73 (((~v116(constB43)) | v115(constB43)) <=> (v115(constB43) | (~v116(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5692,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5691])).
% 48.80/31.73 tff(5693,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5692, 5690])).
% 48.80/31.73 tff(5694,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5695,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5694, 5693])).
% 48.80/31.73 tff(5696,plain,
% 48.80/31.73 (v115(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5695, 238, 5689])).
% 48.80/31.73 tff(5697,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5698,plain,
% 48.80/31.73 (((~v115(constB43)) | v114(constB43)) <=> (v114(constB43) | (~v115(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5699,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5698])).
% 48.80/31.73 tff(5700,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5699, 5697])).
% 48.80/31.73 tff(5701,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5702,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5701, 5700])).
% 48.80/31.73 tff(5703,plain,
% 48.80/31.73 (v114(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5702, 252, 5696])).
% 48.80/31.73 tff(5704,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5705,plain,
% 48.80/31.73 (((~v114(constB43)) | v113(constB43)) <=> (v113(constB43) | (~v114(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5706,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5705])).
% 48.80/31.73 tff(5707,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5706, 5704])).
% 48.80/31.73 tff(5708,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5709,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5708, 5707])).
% 48.80/31.73 tff(5710,plain,
% 48.80/31.73 (v113(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5709, 266, 5703])).
% 48.80/31.73 tff(5711,assumption,(~v108(constB43)), introduced(assumption)).
% 48.80/31.73 tff(5712,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5713,plain,
% 48.80/31.73 (((~v112(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v112(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5714,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5713])).
% 48.80/31.73 tff(5715,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5714, 5712])).
% 48.80/31.73 tff(5716,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5717,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 48.80/31.73 tff(5718,plain,
% 48.80/31.73 (~v112(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5717, 292, 5711])).
% 48.80/31.73 tff(5719,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5720,plain,
% 48.80/31.73 (((~v26(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v26(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5721,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5720])).
% 48.80/31.73 tff(5722,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5721, 5719])).
% 48.80/31.73 tff(5723,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5724,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5723, 5722])).
% 48.80/31.73 tff(5725,plain,
% 48.80/31.73 (~v26(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5724, 1761, 5711])).
% 48.80/31.73 tff(5726,assumption,(v113(constB43)), introduced(assumption)).
% 48.80/31.73 tff(5727,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5728,plain,
% 48.80/31.73 ((v26(constB43) | (~v113(constB43)) | v112(constB43)) <=> (v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5729,plain,
% 48.80/31.73 (((~![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) | v112(constB43) | (~v113(constB43))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5728])).
% 48.80/31.73 tff(5730,plain,
% 48.80/31.73 (((~![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) | v112(constB43) | (~v113(constB43)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5729, 5727])).
% 48.80/31.73 tff(5731,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5732,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 48.80/31.73 tff(5733,plain,
% 48.80/31.73 (v26(constB43) | v112(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5732, 280, 5726])).
% 48.80/31.73 tff(5734,plain,
% 48.80/31.73 ($false),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5733, 5725, 5718])).
% 48.80/31.73 tff(5735,plain,(v108(constB43) | (~v113(constB43))), inference(lemma,lemma(discharge,[]))).
% 48.80/31.73 tff(5736,plain,
% 48.80/31.73 (v108(constB43)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5735, 5710])).
% 48.80/31.73 tff(5737,plain,
% 48.80/31.73 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5738,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 48.80/31.73 tff(5739,plain,
% 48.80/31.73 (nextState(constB43, constB44)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 48.80/31.73 tff(5740,plain,
% 48.80/31.73 (((~![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)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5741,plain,
% 48.80/31.73 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5742,plain,
% 48.80/31.73 (((~![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))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5741])).
% 48.80/31.73 tff(5743,plain,
% 48.80/31.73 (((~![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)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5742, 5740])).
% 48.80/31.73 tff(5744,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5745,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5744, 5743])).
% 48.80/31.73 tff(5746,plain,
% 48.80/31.73 (v110(constB44) | (~v108(constB43))),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5745, 312, 5739])).
% 48.80/31.73 tff(5747,plain,
% 48.80/31.73 (v110(constB44)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5746, 5736])).
% 48.80/31.73 tff(5748,plain,
% 48.80/31.73 (((~![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)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5749,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5750,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 48.80/31.73 tff(5751,plain,
% 48.80/31.73 (~v104(constB44)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5750, 330, 5739, 5592])).
% 48.80/31.73 tff(5752,plain,
% 48.80/31.73 (((~![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)) | v102(constB44) | v104(constB44))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5753,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5754,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5753, 5752])).
% 48.80/31.73 tff(5755,plain,
% 48.80/31.73 (v102(constB44) | v104(constB44)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5754, 344, 5739])).
% 48.80/31.73 tff(5756,plain,
% 48.80/31.73 (v102(constB44)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5755, 5751])).
% 48.80/31.73 tff(5757,plain,
% 48.80/31.73 (v1(constB44) <=> v1(constB44)),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5758,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 48.80/31.73 tff(5759,plain,
% 48.80/31.73 (v1(constB44)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 48.80/31.73 tff(5760,plain,
% 48.80/31.73 (((~![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)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5761,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5762,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 48.80/31.73 tff(5763,plain,
% 48.80/31.73 (v101(constB44) | (~v102(constB44))),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5762, 362, 5739, 5759])).
% 48.80/31.73 tff(5764,plain,
% 48.80/31.73 (v101(constB44)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5763, 5756])).
% 48.80/31.73 tff(5765,plain,
% 48.80/31.73 (((~![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)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5766,plain,
% 48.80/31.73 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5767,plain,
% 48.80/31.73 (((~![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))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5766])).
% 48.80/31.73 tff(5768,plain,
% 48.80/31.73 (((~![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)))),
% 48.80/31.73 inference(transitivity,[status(thm)],[5767, 5765])).
% 48.80/31.73 tff(5769,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5770,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5769, 5768])).
% 48.80/31.73 tff(5771,plain,
% 48.80/31.73 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5770, 377, 5739])).
% 48.80/31.73 tff(5772,plain,
% 48.80/31.73 (v100(constB44) | (~v110(constB44))),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5771, 5764])).
% 48.80/31.73 tff(5773,plain,
% 48.80/31.73 (v100(constB44)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5772, 5747])).
% 48.80/31.73 tff(5774,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5775,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5776,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5775, 5774])).
% 48.80/31.73 tff(5777,plain,
% 48.80/31.73 (v130(constB43, 2)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5776, 1314, 5682])).
% 48.80/31.73 tff(5778,assumption,(v26(constB43)), introduced(assumption)).
% 48.80/31.73 tff(5779,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5780,plain,
% 48.80/31.73 ($false),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5779, 43, 5778])).
% 48.80/31.73 tff(5781,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.73 tff(5782,plain,
% 48.80/31.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5783,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5784,plain,
% 48.80/31.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5783, 5782])).
% 48.80/31.73 tff(5785,plain,
% 48.80/31.73 ((~v130(constB43, 2)) | v127(constB43, 2)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5784, 1328, 5781])).
% 48.80/31.73 tff(5786,plain,
% 48.80/31.73 (v127(constB43, 2)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5785, 5777])).
% 48.80/31.73 tff(5787,plain,
% 48.80/31.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5788,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 48.80/31.73 inference(quant_inst,[status(thm)],[])).
% 48.80/31.73 tff(5789,plain,
% 48.80/31.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2)),
% 48.80/31.73 inference(modus_ponens,[status(thm)],[5788, 5787])).
% 48.80/31.73 tff(5790,plain,
% 48.80/31.73 ((~v127(constB43, 2)) | v129(constB44, 2)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5789, 1343, 5739])).
% 48.80/31.73 tff(5791,plain,
% 48.80/31.73 (v129(constB44, 2)),
% 48.80/31.73 inference(unit_resolution,[status(thm)],[5790, 5786])).
% 48.80/31.73 tff(5792,plain,
% 48.80/31.73 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5793,plain,
% 48.80/31.73 ((v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2))) <=> (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 48.80/31.73 inference(rewrite,[status(thm)],[])).
% 48.80/31.73 tff(5794,plain,
% 48.80/31.73 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))))),
% 48.80/31.73 inference(monotonicity,[status(thm)],[5793])).
% 48.80/31.74 tff(5795,plain,
% 48.80/31.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5794, 5792])).
% 48.80/31.74 tff(5796,plain,
% 48.80/31.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5797,plain,
% 48.80/31.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5796, 5795])).
% 48.80/31.74 tff(5798,plain,
% 48.80/31.74 (v90(constB44, 2) | (~v100(constB44))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5797, 1358, 5791])).
% 48.80/31.74 tff(5799,plain,
% 48.80/31.74 (v90(constB44, 2)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5798, 5773])).
% 48.80/31.74 tff(5800,plain,
% 48.80/31.74 ((~v1(constB45)) <=> (~v1(constB45))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5801,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 48.80/31.74 tff(5802,plain,
% 48.80/31.74 (~v1(constB45)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 48.80/31.74 tff(5803,plain,
% 48.80/31.74 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5804,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 48.80/31.74 tff(5805,plain,
% 48.80/31.74 (nextState(constB44, constB45)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5804, 5803])).
% 48.80/31.74 tff(5806,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5807,plain,
% 48.80/31.74 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5808,plain,
% 48.80/31.74 (((~![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))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5807])).
% 48.80/31.74 tff(5809,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5808, 5806])).
% 48.80/31.74 tff(5810,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5811,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 48.80/31.74 tff(5812,plain,
% 48.80/31.74 (~v101(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5811, 90, 5805, 5802])).
% 48.80/31.74 tff(5813,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5814,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5815,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 48.80/31.74 tff(5816,plain,
% 48.80/31.74 (v101(constB45) | (~v100(constB45))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5815, 107, 5805])).
% 48.80/31.74 tff(5817,plain,
% 48.80/31.74 (~v100(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5816, 5812])).
% 48.80/31.74 tff(5818,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5819,plain,
% 48.80/31.74 (((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)) <=> ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5820,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5819])).
% 48.80/31.74 tff(5821,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5820, 5818])).
% 48.80/31.74 tff(5822,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5823,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 48.80/31.74 tff(5824,plain,
% 48.80/31.74 ((~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5823, 1394, 5805])).
% 48.80/31.74 tff(5825,plain,
% 48.80/31.74 ((~v90(constB44, 2)) | v90(constB45, 2)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5824, 5817])).
% 48.80/31.74 tff(5826,plain,
% 48.80/31.74 (v90(constB45, 2)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5825, 5799])).
% 48.80/31.74 tff(5827,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5828,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5829,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 48.80/31.74 tff(5830,plain,
% 48.80/31.74 (~v130(constB43, 1)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5829, 1410, 5682])).
% 48.80/31.74 tff(5831,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5832,plain,
% 48.80/31.74 ((v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1))) <=> ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5833,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5832])).
% 48.80/31.74 tff(5834,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5833, 5831])).
% 48.80/31.74 tff(5835,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5836,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5835, 5834])).
% 48.80/31.74 tff(5837,plain,
% 48.80/31.74 ((~v127(constB43, 1)) | v130(constB43, 1)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5836, 408, 5781])).
% 48.80/31.74 tff(5838,plain,
% 48.80/31.74 (~v127(constB43, 1)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5837, 5830])).
% 48.80/31.74 tff(5839,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5840,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5841,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5840, 5839])).
% 48.80/31.74 tff(5842,plain,
% 48.80/31.74 (v127(constB43, 1) | (~v129(constB44, 1))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5841, 438, 5739])).
% 48.80/31.74 tff(5843,plain,
% 48.80/31.74 (~v129(constB44, 1)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5842, 5838])).
% 48.80/31.74 tff(5844,plain,
% 48.80/31.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5845,plain,
% 48.80/31.74 (((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1)) <=> ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5846,plain,
% 48.80/31.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5845])).
% 48.80/31.74 tff(5847,plain,
% 48.80/31.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5846, 5844])).
% 48.80/31.74 tff(5848,plain,
% 48.80/31.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5849,plain,
% 48.80/31.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 48.80/31.74 tff(5850,plain,
% 48.80/31.74 ((~v90(constB44, 1)) | (~v100(constB44))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5849, 453, 5843])).
% 48.80/31.74 tff(5851,plain,
% 48.80/31.74 (~v90(constB44, 1)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5850, 5773])).
% 48.80/31.74 tff(5852,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5853,plain,
% 48.80/31.74 (((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))) <=> (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5854,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5853])).
% 48.80/31.74 tff(5855,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5854, 5852])).
% 48.80/31.74 tff(5856,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5857,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5856, 5855])).
% 48.80/31.74 tff(5858,plain,
% 48.80/31.74 (v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5857, 143, 5805])).
% 48.80/31.74 tff(5859,plain,
% 48.80/31.74 (v90(constB44, 1) | (~v90(constB45, 1))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5858, 5817])).
% 48.80/31.74 tff(5860,plain,
% 48.80/31.74 (~v90(constB45, 1)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5859, 5851])).
% 48.80/31.74 tff(5861,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5862,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5863,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 48.80/31.74 tff(5864,plain,
% 48.80/31.74 (~v130(constB43, 0)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5863, 1451, 5682])).
% 48.80/31.74 tff(5865,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5866,plain,
% 48.80/31.74 ((v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0))) <=> ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5867,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5866])).
% 48.80/31.74 tff(5868,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5867, 5865])).
% 48.80/31.74 tff(5869,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5870,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5869, 5868])).
% 48.80/31.74 tff(5871,plain,
% 48.80/31.74 ((~v127(constB43, 0)) | v130(constB43, 0)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5870, 930, 5781])).
% 48.80/31.74 tff(5872,plain,
% 48.80/31.74 (~v127(constB43, 0)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5871, 5864])).
% 48.80/31.74 tff(5873,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5874,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5875,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5874, 5873])).
% 48.80/31.74 tff(5876,plain,
% 48.80/31.74 (v127(constB43, 0) | (~v129(constB44, 0))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5875, 948, 5739])).
% 48.80/31.74 tff(5877,plain,
% 48.80/31.74 (~v129(constB44, 0)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5876, 5872])).
% 48.80/31.74 tff(5878,plain,
% 48.80/31.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5879,plain,
% 48.80/31.74 (((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0)) <=> ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5880,plain,
% 48.80/31.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5879])).
% 48.80/31.74 tff(5881,plain,
% 48.80/31.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5880, 5878])).
% 48.80/31.74 tff(5882,plain,
% 48.80/31.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5883,plain,
% 48.80/31.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 48.80/31.74 tff(5884,plain,
% 48.80/31.74 ((~v90(constB44, 0)) | (~v100(constB44))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5883, 963, 5877])).
% 48.80/31.74 tff(5885,plain,
% 48.80/31.74 (~v90(constB44, 0)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5884, 5773])).
% 48.80/31.74 tff(5886,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5887,plain,
% 48.80/31.74 (((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))) <=> (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5888,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5887])).
% 48.80/31.74 tff(5889,plain,
% 48.80/31.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5888, 5886])).
% 48.80/31.74 tff(5890,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5891,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5890, 5889])).
% 48.80/31.74 tff(5892,plain,
% 48.80/31.74 (v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5891, 164, 5805])).
% 48.80/31.74 tff(5893,plain,
% 48.80/31.74 (v90(constB44, 0) | (~v90(constB45, 0))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5892, 5817])).
% 48.80/31.74 tff(5894,plain,
% 48.80/31.74 (~v90(constB45, 0)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5893, 5885])).
% 48.80/31.74 tff(5895,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5896,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5897,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 48.80/31.74 tff(5898,plain,
% 48.80/31.74 (v123(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5897, 1495, 5894, 5860, 5826])).
% 48.80/31.74 tff(5899,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5900,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5901,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 48.80/31.74 tff(5902,plain,
% 48.80/31.74 (v115(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5901, 1506, 5898])).
% 48.80/31.74 tff(5903,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5904,plain,
% 48.80/31.74 (((~v115(constB45)) | v114(constB45)) <=> (v114(constB45) | (~v115(constB45)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5905,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5904])).
% 48.80/31.74 tff(5906,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5905, 5903])).
% 48.80/31.74 tff(5907,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5908,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5907, 5906])).
% 48.80/31.74 tff(5909,plain,
% 48.80/31.74 (v114(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5908, 252, 5902])).
% 48.80/31.74 tff(5910,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB45)) | v113(constB45))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5911,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5912,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB45)) | v113(constB45)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 48.80/31.74 tff(5913,plain,
% 48.80/31.74 (v113(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5912, 266, 5909])).
% 48.80/31.74 tff(5914,assumption,(v26(constB45)), introduced(assumption)).
% 48.80/31.74 tff(5915,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5916,plain,
% 48.80/31.74 ($false),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5915, 43, 5914])).
% 48.80/31.74 tff(5917,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.74 tff(5918,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5919,plain,
% 48.80/31.74 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5920,plain,
% 48.80/31.74 (((~![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))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5919])).
% 48.80/31.74 tff(5921,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5920, 5918])).
% 48.80/31.74 tff(5922,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5923,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 48.80/31.74 tff(5924,plain,
% 48.80/31.74 (v112(constB45) | (~v113(constB45))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5923, 280, 5917])).
% 48.80/31.74 tff(5925,plain,
% 48.80/31.74 (v112(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5924, 5913])).
% 48.80/31.74 tff(5926,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5927,plain,
% 48.80/31.74 (((~v112(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v112(constB45)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5928,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5927])).
% 48.80/31.74 tff(5929,plain,
% 48.80/31.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5928, 5926])).
% 48.80/31.74 tff(5930,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5931,plain,
% 48.80/31.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 48.80/31.74 tff(5932,plain,
% 48.80/31.74 (v108(constB45)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5931, 292, 5925])).
% 48.80/31.74 tff(5933,plain,
% 48.80/31.74 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5934,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 48.80/31.74 tff(5935,plain,
% 48.80/31.74 (nextState(constB45, constB46)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 48.80/31.74 tff(5936,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5937,plain,
% 48.80/31.74 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5938,plain,
% 48.80/31.74 (((~![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))))),
% 48.80/31.74 inference(monotonicity,[status(thm)],[5937])).
% 48.80/31.74 tff(5939,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(transitivity,[status(thm)],[5938, 5936])).
% 48.80/31.74 tff(5940,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5941,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 48.80/31.74 tff(5942,plain,
% 48.80/31.74 (v110(constB46) | (~v108(constB45))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5941, 312, 5935])).
% 48.80/31.74 tff(5943,plain,
% 48.80/31.74 (v110(constB46)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5942, 5932])).
% 48.80/31.74 tff(5944,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5945,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5946,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 48.80/31.74 tff(5947,plain,
% 48.80/31.74 (~v104(constB46)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5946, 330, 5935, 5802])).
% 48.80/31.74 tff(5948,plain,
% 48.80/31.74 (((~![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)) | v102(constB46) | v104(constB46))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5949,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5950,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 48.80/31.74 tff(5951,plain,
% 48.80/31.74 (v102(constB46) | v104(constB46)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5950, 344, 5935])).
% 48.80/31.74 tff(5952,plain,
% 48.80/31.74 (v102(constB46)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5951, 5947])).
% 48.80/31.74 tff(5953,plain,
% 48.80/31.74 (v1(constB46) <=> v1(constB46)),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5954,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 48.80/31.74 tff(5955,plain,
% 48.80/31.74 (v1(constB46)),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 48.80/31.74 tff(5956,plain,
% 48.80/31.74 (((~![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)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5957,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 48.80/31.74 inference(quant_inst,[status(thm)],[])).
% 48.80/31.74 tff(5958,plain,
% 48.80/31.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 48.80/31.74 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 48.80/31.74 tff(5959,plain,
% 48.80/31.74 (v101(constB46) | (~v102(constB46))),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5958, 362, 5935, 5955])).
% 48.80/31.74 tff(5960,plain,
% 48.80/31.74 (v101(constB46)),
% 48.80/31.74 inference(unit_resolution,[status(thm)],[5959, 5952])).
% 48.80/31.74 tff(5961,plain,
% 48.80/31.74 (((~![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)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5962,plain,
% 48.80/31.74 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 48.80/31.74 inference(rewrite,[status(thm)],[])).
% 48.80/31.74 tff(5963,plain,
% 48.80/31.74 (((~![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))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[5962])).
% 48.80/31.75 tff(5964,plain,
% 48.80/31.75 (((~![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)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[5963, 5961])).
% 48.80/31.75 tff(5965,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(5966,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[5965, 5964])).
% 48.80/31.75 tff(5967,plain,
% 48.80/31.75 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5966, 377, 5935])).
% 48.80/31.75 tff(5968,plain,
% 48.80/31.75 (v100(constB46) | (~v110(constB46))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5967, 5960])).
% 48.80/31.75 tff(5969,plain,
% 48.80/31.75 (v100(constB46)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5968, 5943])).
% 48.80/31.75 tff(5970,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5971,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(5972,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 48.80/31.75 tff(5973,plain,
% 48.80/31.75 (v130(constB45, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5972, 1580, 5898])).
% 48.80/31.75 tff(5974,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5975,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(5976,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 48.80/31.75 tff(5977,plain,
% 48.80/31.75 ((~v130(constB45, 2)) | v127(constB45, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5976, 1328, 5917])).
% 48.80/31.75 tff(5978,plain,
% 48.80/31.75 (v127(constB45, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5977, 5973])).
% 48.80/31.75 tff(5979,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5980,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(5981,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 48.80/31.75 tff(5982,plain,
% 48.80/31.75 ((~v127(constB45, 2)) | v129(constB46, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5981, 1343, 5935])).
% 48.80/31.75 tff(5983,plain,
% 48.80/31.75 (v129(constB46, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5982, 5978])).
% 48.80/31.75 tff(5984,plain,
% 48.80/31.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5985,plain,
% 48.80/31.75 ((v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2))) <=> (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5986,plain,
% 48.80/31.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[5985])).
% 48.80/31.75 tff(5987,plain,
% 48.80/31.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[5986, 5984])).
% 48.80/31.75 tff(5988,plain,
% 48.80/31.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(5989,plain,
% 48.80/31.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[5988, 5987])).
% 48.80/31.75 tff(5990,plain,
% 48.80/31.75 (v90(constB46, 2) | (~v100(constB46))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5989, 1358, 5983])).
% 48.80/31.75 tff(5991,plain,
% 48.80/31.75 (v90(constB46, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[5990, 5969])).
% 48.80/31.75 tff(5992,plain,
% 48.80/31.75 ((~v1(constB47)) <=> (~v1(constB47))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5993,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 48.80/31.75 tff(5994,plain,
% 48.80/31.75 (~v1(constB47)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[5993, 5992])).
% 48.80/31.75 tff(5995,plain,
% 48.80/31.75 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5996,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 48.80/31.75 tff(5997,plain,
% 48.80/31.75 (nextState(constB46, constB47)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[5996, 5995])).
% 48.80/31.75 tff(5998,plain,
% 48.80/31.75 (((~![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)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(5999,plain,
% 48.80/31.75 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6000,plain,
% 48.80/31.75 (((~![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))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[5999])).
% 48.80/31.75 tff(6001,plain,
% 48.80/31.75 (((~![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)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6000, 5998])).
% 48.80/31.75 tff(6002,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6003,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6002, 6001])).
% 48.80/31.75 tff(6004,plain,
% 48.80/31.75 (~v101(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6003, 90, 5997, 5994])).
% 48.80/31.75 tff(6005,plain,
% 48.80/31.75 (((~![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)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6006,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6007,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6006, 6005])).
% 48.80/31.75 tff(6008,plain,
% 48.80/31.75 (v101(constB47) | (~v100(constB47))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6007, 107, 5997])).
% 48.80/31.75 tff(6009,plain,
% 48.80/31.75 (~v100(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6008, 6004])).
% 48.80/31.75 tff(6010,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6011,plain,
% 48.80/31.75 (((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)) <=> ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6012,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6011])).
% 48.80/31.75 tff(6013,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6012, 6010])).
% 48.80/31.75 tff(6014,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6015,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 48.80/31.75 tff(6016,plain,
% 48.80/31.75 ((~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6015, 1394, 5997])).
% 48.80/31.75 tff(6017,plain,
% 48.80/31.75 ((~v90(constB46, 2)) | v90(constB47, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6016, 6009])).
% 48.80/31.75 tff(6018,plain,
% 48.80/31.75 (v90(constB47, 2)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6017, 5991])).
% 48.80/31.75 tff(6019,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6020,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6021,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6020, 6019])).
% 48.80/31.75 tff(6022,plain,
% 48.80/31.75 (~v130(constB45, 1)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6021, 1636, 5898])).
% 48.80/31.75 tff(6023,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6024,plain,
% 48.80/31.75 ((v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1))) <=> ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6025,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6024])).
% 48.80/31.75 tff(6026,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6025, 6023])).
% 48.80/31.75 tff(6027,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6028,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 48.80/31.75 tff(6029,plain,
% 48.80/31.75 ((~v127(constB45, 1)) | v130(constB45, 1)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6028, 408, 5917])).
% 48.80/31.75 tff(6030,plain,
% 48.80/31.75 (~v127(constB45, 1)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6029, 6022])).
% 48.80/31.75 tff(6031,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6032,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6033,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 48.80/31.75 tff(6034,plain,
% 48.80/31.75 (v127(constB45, 1) | (~v129(constB46, 1))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6033, 438, 5935])).
% 48.80/31.75 tff(6035,plain,
% 48.80/31.75 (~v129(constB46, 1)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6034, 6030])).
% 48.80/31.75 tff(6036,plain,
% 48.80/31.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6037,plain,
% 48.80/31.75 (((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1)) <=> ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6038,plain,
% 48.80/31.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6037])).
% 48.80/31.75 tff(6039,plain,
% 48.80/31.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6038, 6036])).
% 48.80/31.75 tff(6040,plain,
% 48.80/31.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6041,plain,
% 48.80/31.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6040, 6039])).
% 48.80/31.75 tff(6042,plain,
% 48.80/31.75 ((~v90(constB46, 1)) | (~v100(constB46))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6041, 453, 6035])).
% 48.80/31.75 tff(6043,plain,
% 48.80/31.75 (~v90(constB46, 1)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6042, 5969])).
% 48.80/31.75 tff(6044,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6045,plain,
% 48.80/31.75 (((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))) <=> (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6046,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6045])).
% 48.80/31.75 tff(6047,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6046, 6044])).
% 48.80/31.75 tff(6048,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6049,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 48.80/31.75 tff(6050,plain,
% 48.80/31.75 (v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6049, 143, 5997])).
% 48.80/31.75 tff(6051,plain,
% 48.80/31.75 (v90(constB46, 1) | (~v90(constB47, 1))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6050, 6009])).
% 48.80/31.75 tff(6052,plain,
% 48.80/31.75 (~v90(constB47, 1)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6051, 6043])).
% 48.80/31.75 tff(6053,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6054,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6055,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 48.80/31.75 tff(6056,plain,
% 48.80/31.75 (v130(constB45, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6055, 1677, 5898])).
% 48.80/31.75 tff(6057,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6058,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6059,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 48.80/31.75 tff(6060,plain,
% 48.80/31.75 ((~v130(constB45, 0)) | v127(constB45, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6059, 515, 5917])).
% 48.80/31.75 tff(6061,plain,
% 48.80/31.75 (v127(constB45, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6060, 6056])).
% 48.80/31.75 tff(6062,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6063,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6064,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 48.80/31.75 tff(6065,plain,
% 48.80/31.75 ((~v127(constB45, 0)) | v129(constB46, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6064, 530, 5935])).
% 48.80/31.75 tff(6066,plain,
% 48.80/31.75 (v129(constB46, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6065, 6061])).
% 48.80/31.75 tff(6067,plain,
% 48.80/31.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6068,plain,
% 48.80/31.75 ((v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0))) <=> (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6069,plain,
% 48.80/31.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6068])).
% 48.80/31.75 tff(6070,plain,
% 48.80/31.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6069, 6067])).
% 48.80/31.75 tff(6071,plain,
% 48.80/31.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6072,plain,
% 48.80/31.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 48.80/31.75 tff(6073,plain,
% 48.80/31.75 (v90(constB46, 0) | (~v100(constB46))),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6072, 545, 6066])).
% 48.80/31.75 tff(6074,plain,
% 48.80/31.75 (v90(constB46, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6073, 5969])).
% 48.80/31.75 tff(6075,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6076,plain,
% 48.80/31.75 (((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)) <=> ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6077,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6076])).
% 48.80/31.75 tff(6078,plain,
% 48.80/31.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6077, 6075])).
% 48.80/31.75 tff(6079,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6080,plain,
% 48.80/31.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6079, 6078])).
% 48.80/31.75 tff(6081,plain,
% 48.80/31.75 ((~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6080, 563, 5997])).
% 48.80/31.75 tff(6082,plain,
% 48.80/31.75 ((~v90(constB46, 0)) | v90(constB47, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6081, 6009])).
% 48.80/31.75 tff(6083,plain,
% 48.80/31.75 (v90(constB47, 0)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6082, 6074])).
% 48.80/31.75 tff(6084,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6085,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6086,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 48.80/31.75 tff(6087,plain,
% 48.80/31.75 (v124(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6086, 1718, 6083, 6052, 6018])).
% 48.80/31.75 tff(6088,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6089,plain,
% 48.80/31.75 (((~v124(constB47)) | v114(constB47)) <=> (v114(constB47) | (~v124(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6090,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6089])).
% 48.80/31.75 tff(6091,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6090, 6088])).
% 48.80/31.75 tff(6092,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6093,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 48.80/31.75 tff(6094,plain,
% 48.80/31.75 (v114(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6093, 1775, 6087])).
% 48.80/31.75 tff(6095,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6096,plain,
% 48.80/31.75 (((~v114(constB47)) | v113(constB47)) <=> (v113(constB47) | (~v114(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6097,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6096])).
% 48.80/31.75 tff(6098,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6097, 6095])).
% 48.80/31.75 tff(6099,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6100,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 48.80/31.75 tff(6101,plain,
% 48.80/31.75 (v113(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6100, 266, 6094])).
% 48.80/31.75 tff(6102,assumption,(~v108(constB47)), introduced(assumption)).
% 48.80/31.75 tff(6103,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6104,plain,
% 48.80/31.75 (((~v112(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v112(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6105,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6104])).
% 48.80/31.75 tff(6106,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6105, 6103])).
% 48.80/31.75 tff(6107,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6108,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6107, 6106])).
% 48.80/31.75 tff(6109,plain,
% 48.80/31.75 (~v112(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6108, 292, 6102])).
% 48.80/31.75 tff(6110,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6111,plain,
% 48.80/31.75 (((~v26(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v26(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6112,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6111])).
% 48.80/31.75 tff(6113,plain,
% 48.80/31.75 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6112, 6110])).
% 48.80/31.75 tff(6114,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6115,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6114, 6113])).
% 48.80/31.75 tff(6116,plain,
% 48.80/31.75 (~v26(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6115, 1761, 6102])).
% 48.80/31.75 tff(6117,assumption,(v113(constB47)), introduced(assumption)).
% 48.80/31.75 tff(6118,plain,
% 48.80/31.75 (((~![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)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6119,plain,
% 48.80/31.75 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6120,plain,
% 48.80/31.75 (((~![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))))),
% 48.80/31.75 inference(monotonicity,[status(thm)],[6119])).
% 48.80/31.75 tff(6121,plain,
% 48.80/31.75 (((~![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)))),
% 48.80/31.75 inference(transitivity,[status(thm)],[6120, 6118])).
% 48.80/31.75 tff(6122,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 48.80/31.75 inference(quant_inst,[status(thm)],[])).
% 48.80/31.75 tff(6123,plain,
% 48.80/31.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 48.80/31.75 tff(6124,plain,
% 48.80/31.75 (v26(constB47) | v112(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6123, 280, 6117])).
% 48.80/31.75 tff(6125,plain,
% 48.80/31.75 ($false),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6124, 6116, 6109])).
% 48.80/31.75 tff(6126,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 48.80/31.75 tff(6127,plain,
% 48.80/31.75 (v108(constB47)),
% 48.80/31.75 inference(unit_resolution,[status(thm)],[6126, 6101])).
% 48.80/31.75 tff(6128,plain,
% 48.80/31.75 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6129,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 48.80/31.75 tff(6130,plain,
% 48.80/31.75 (nextState(constB47, constB48)),
% 48.80/31.75 inference(modus_ponens,[status(thm)],[6129, 6128])).
% 48.80/31.75 tff(6131,plain,
% 48.80/31.75 (((~![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)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6132,plain,
% 48.80/31.75 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 48.80/31.75 inference(rewrite,[status(thm)],[])).
% 48.80/31.75 tff(6133,plain,
% 48.80/31.75 (((~![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))))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6132])).
% 48.80/31.76 tff(6134,plain,
% 48.80/31.76 (((~![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)))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6133, 6131])).
% 48.80/31.76 tff(6135,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6136,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 48.80/31.76 tff(6137,plain,
% 48.80/31.76 (v110(constB48) | (~v108(constB47))),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6136, 312, 6130])).
% 48.80/31.76 tff(6138,plain,
% 48.80/31.76 (v110(constB48)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6137, 6127])).
% 48.80/31.76 tff(6139,plain,
% 48.80/31.76 (((~![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)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6140,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6141,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 48.80/31.76 tff(6142,plain,
% 48.80/31.76 (~v104(constB48)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6141, 330, 6130, 5994])).
% 48.80/31.76 tff(6143,plain,
% 48.80/31.76 (((~![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)) | v102(constB48) | v104(constB48))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6144,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6145,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6144, 6143])).
% 48.80/31.76 tff(6146,plain,
% 48.80/31.76 (v102(constB48) | v104(constB48)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6145, 344, 6130])).
% 48.80/31.76 tff(6147,plain,
% 48.80/31.76 (v102(constB48)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6146, 6142])).
% 48.80/31.76 tff(6148,plain,
% 48.80/31.76 (v1(constB48) <=> v1(constB48)),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6149,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 48.80/31.76 tff(6150,plain,
% 48.80/31.76 (v1(constB48)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 48.80/31.76 tff(6151,plain,
% 48.80/31.76 (((~![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)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6152,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6153,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 48.80/31.76 tff(6154,plain,
% 48.80/31.76 (v101(constB48) | (~v102(constB48))),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6153, 362, 6130, 6150])).
% 48.80/31.76 tff(6155,plain,
% 48.80/31.76 (v101(constB48)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6154, 6147])).
% 48.80/31.76 tff(6156,plain,
% 48.80/31.76 (((~![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)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6157,plain,
% 48.80/31.76 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6158,plain,
% 48.80/31.76 (((~![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))))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6157])).
% 48.80/31.76 tff(6159,plain,
% 48.80/31.76 (((~![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)))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6158, 6156])).
% 48.80/31.76 tff(6160,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6161,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 48.80/31.76 tff(6162,plain,
% 48.80/31.76 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6161, 377, 6130])).
% 48.80/31.76 tff(6163,plain,
% 48.80/31.76 (v100(constB48) | (~v110(constB48))),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6162, 6155])).
% 48.80/31.76 tff(6164,plain,
% 48.80/31.76 (v100(constB48)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6163, 6138])).
% 48.80/31.76 tff(6165,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6166,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6167,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 48.80/31.76 tff(6168,plain,
% 48.80/31.76 (v130(constB47, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6167, 1871, 6087])).
% 48.80/31.76 tff(6169,assumption,(v26(constB47)), introduced(assumption)).
% 48.80/31.76 tff(6170,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6171,plain,
% 48.80/31.76 ($false),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6170, 43, 6169])).
% 48.80/31.76 tff(6172,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.76 tff(6173,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6174,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6175,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6174, 6173])).
% 48.80/31.76 tff(6176,plain,
% 48.80/31.76 ((~v130(constB47, 1)) | v127(constB47, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6175, 852, 6172])).
% 48.80/31.76 tff(6177,plain,
% 48.80/31.76 (v127(constB47, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6176, 6168])).
% 48.80/31.76 tff(6178,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6179,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6180,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6179, 6178])).
% 48.80/31.76 tff(6181,plain,
% 48.80/31.76 ((~v127(constB47, 1)) | v129(constB48, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6180, 867, 6130])).
% 48.80/31.76 tff(6182,plain,
% 48.80/31.76 (v129(constB48, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6181, 6177])).
% 48.80/31.76 tff(6183,plain,
% 48.80/31.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6184,plain,
% 48.80/31.76 ((v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1))) <=> (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6185,plain,
% 48.80/31.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6184])).
% 48.80/31.76 tff(6186,plain,
% 48.80/31.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6185, 6183])).
% 48.80/31.76 tff(6187,plain,
% 48.80/31.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6188,plain,
% 48.80/31.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 48.80/31.76 tff(6189,plain,
% 48.80/31.76 (v90(constB48, 1) | (~v100(constB48))),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6188, 882, 6182])).
% 48.80/31.76 tff(6190,plain,
% 48.80/31.76 (v90(constB48, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6189, 6164])).
% 48.80/31.76 tff(6191,plain,
% 48.80/31.76 ((~v1(constB49)) <=> (~v1(constB49))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6192,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 48.80/31.76 tff(6193,plain,
% 48.80/31.76 (~v1(constB49)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 48.80/31.76 tff(6194,plain,
% 48.80/31.76 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6195,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 48.80/31.76 tff(6196,plain,
% 48.80/31.76 (nextState(constB48, constB49)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6195, 6194])).
% 48.80/31.76 tff(6197,plain,
% 48.80/31.76 (((~![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)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6198,plain,
% 48.80/31.76 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6199,plain,
% 48.80/31.76 (((~![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))))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6198])).
% 48.80/31.76 tff(6200,plain,
% 48.80/31.76 (((~![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)))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6199, 6197])).
% 48.80/31.76 tff(6201,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6202,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6201, 6200])).
% 48.80/31.76 tff(6203,plain,
% 48.80/31.76 (~v101(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6202, 90, 6196, 6193])).
% 48.80/31.76 tff(6204,plain,
% 48.80/31.76 (((~![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)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6205,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6206,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 48.80/31.76 tff(6207,plain,
% 48.80/31.76 (v101(constB49) | (~v100(constB49))),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6206, 107, 6196])).
% 48.80/31.76 tff(6208,plain,
% 48.80/31.76 (~v100(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6207, 6203])).
% 48.80/31.76 tff(6209,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6210,plain,
% 48.80/31.76 (((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)) <=> ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6211,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6210])).
% 48.80/31.76 tff(6212,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6211, 6209])).
% 48.80/31.76 tff(6213,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6214,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6213, 6212])).
% 48.80/31.76 tff(6215,plain,
% 48.80/31.76 ((~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6214, 900, 6196])).
% 48.80/31.76 tff(6216,plain,
% 48.80/31.76 ((~v90(constB48, 1)) | v90(constB49, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6215, 6208])).
% 48.80/31.76 tff(6217,plain,
% 48.80/31.76 (v90(constB49, 1)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6216, 6190])).
% 48.80/31.76 tff(6218,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6219,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6220,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6219, 6218])).
% 48.80/31.76 tff(6221,plain,
% 48.80/31.76 (~v123(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6220, 2072, 6217])).
% 48.80/31.76 tff(6222,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6223,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6224,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 48.80/31.76 tff(6225,plain,
% 48.80/31.76 (~v119(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6224, 2050, 6217])).
% 48.80/31.76 tff(6226,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6227,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6228,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6227, 6226])).
% 48.80/31.76 tff(6229,plain,
% 48.80/31.76 (~v120(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6228, 2061, 6217])).
% 48.80/31.76 tff(6230,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6231,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6232,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6231, 6230])).
% 48.80/31.76 tff(6233,plain,
% 48.80/31.76 (v130(constB47, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6232, 1729, 6087])).
% 48.80/31.76 tff(6234,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6235,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6236,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6235, 6234])).
% 48.80/31.76 tff(6237,plain,
% 48.80/31.76 ((~v130(constB47, 2)) | v127(constB47, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6236, 1328, 6172])).
% 48.80/31.76 tff(6238,plain,
% 48.80/31.76 (v127(constB47, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6237, 6233])).
% 48.80/31.76 tff(6239,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6240,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6241,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 48.80/31.76 tff(6242,plain,
% 48.80/31.76 ((~v127(constB47, 2)) | v129(constB48, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6241, 1343, 6130])).
% 48.80/31.76 tff(6243,plain,
% 48.80/31.76 (v129(constB48, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6242, 6238])).
% 48.80/31.76 tff(6244,plain,
% 48.80/31.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6245,plain,
% 48.80/31.76 ((v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2))) <=> (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6246,plain,
% 48.80/31.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6245])).
% 48.80/31.76 tff(6247,plain,
% 48.80/31.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6246, 6244])).
% 48.80/31.76 tff(6248,plain,
% 48.80/31.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6249,plain,
% 48.80/31.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 48.80/31.76 tff(6250,plain,
% 48.80/31.76 (v90(constB48, 2) | (~v100(constB48))),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6249, 1358, 6243])).
% 48.80/31.76 tff(6251,plain,
% 48.80/31.76 (v90(constB48, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6250, 6164])).
% 48.80/31.76 tff(6252,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6253,plain,
% 48.80/31.76 (((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)) <=> ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6254,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6253])).
% 48.80/31.76 tff(6255,plain,
% 48.80/31.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6254, 6252])).
% 48.80/31.76 tff(6256,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6257,plain,
% 48.80/31.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6256, 6255])).
% 48.80/31.76 tff(6258,plain,
% 48.80/31.76 ((~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6257, 1394, 6196])).
% 48.80/31.76 tff(6259,plain,
% 48.80/31.76 ((~v90(constB48, 2)) | v90(constB49, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6258, 6208])).
% 48.80/31.76 tff(6260,plain,
% 48.80/31.76 (v90(constB49, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6259, 6251])).
% 48.80/31.76 tff(6261,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6262,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6263,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 48.80/31.76 tff(6264,plain,
% 48.80/31.76 (~v121(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6263, 2028, 6260])).
% 48.80/31.76 tff(6265,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6266,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6267,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 48.80/31.76 tff(6268,plain,
% 48.80/31.76 (~v122(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6267, 2039, 6260])).
% 48.80/31.76 tff(6269,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6270,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6271,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 48.80/31.76 tff(6272,plain,
% 48.80/31.76 (~v124(constB49)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6271, 2083, 6217])).
% 48.80/31.76 tff(6273,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6274,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6275,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2))),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 48.80/31.76 tff(6276,plain,
% 48.80/31.76 (~v130(constB49, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6275, 2097, 6272, 6268, 6264, 6229, 6225, 6221])).
% 48.80/31.76 tff(6277,assumption,(v26(constB49)), introduced(assumption)).
% 48.80/31.76 tff(6278,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6279,plain,
% 48.80/31.76 ($false),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6278, 43, 6277])).
% 48.80/31.76 tff(6280,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.76 tff(6281,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6282,plain,
% 48.80/31.76 ((v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2))) <=> ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 48.80/31.76 inference(rewrite,[status(thm)],[])).
% 48.80/31.76 tff(6283,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)))),
% 48.80/31.76 inference(monotonicity,[status(thm)],[6282])).
% 48.80/31.76 tff(6284,plain,
% 48.80/31.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 48.80/31.76 inference(transitivity,[status(thm)],[6283, 6281])).
% 48.80/31.76 tff(6285,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))),
% 48.80/31.76 inference(quant_inst,[status(thm)],[])).
% 48.80/31.76 tff(6286,plain,
% 48.80/31.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)),
% 48.80/31.76 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 48.80/31.76 tff(6287,plain,
% 48.80/31.76 ((~v127(constB49, 2)) | v130(constB49, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6286, 593, 6280])).
% 48.80/31.76 tff(6288,plain,
% 48.80/31.76 (~v127(constB49, 2)),
% 48.80/31.76 inference(unit_resolution,[status(thm)],[6287, 6276])).
% 48.80/31.76 tff(6289,plain,
% 48.80/31.76 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6290,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 48.80/31.77 tff(6291,plain,
% 48.80/31.77 (nextState(constB49, constB50)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6290, 6289])).
% 48.80/31.77 tff(6292,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6293,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6294,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 48.80/31.77 tff(6295,plain,
% 48.80/31.77 (v127(constB49, 2) | (~v129(constB50, 2))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6294, 611, 6291])).
% 48.80/31.77 tff(6296,plain,
% 48.80/31.77 (~v129(constB50, 2)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6295, 6288])).
% 48.80/31.77 tff(6297,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6298,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6299,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 48.80/31.77 tff(6300,plain,
% 48.80/31.77 (~v130(constB47, 0)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6299, 1909, 6087])).
% 48.80/31.77 tff(6301,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6302,plain,
% 48.80/31.77 ((v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0))) <=> ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6303,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6302])).
% 48.80/31.77 tff(6304,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6303, 6301])).
% 48.80/31.77 tff(6305,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6306,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 48.80/31.77 tff(6307,plain,
% 48.80/31.77 ((~v127(constB47, 0)) | v130(constB47, 0)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6306, 930, 6172])).
% 48.80/31.77 tff(6308,plain,
% 48.80/31.77 (~v127(constB47, 0)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6307, 6300])).
% 48.80/31.77 tff(6309,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6310,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6311,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6310, 6309])).
% 48.80/31.77 tff(6312,plain,
% 48.80/31.77 (v127(constB47, 0) | (~v129(constB48, 0))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6311, 948, 6130])).
% 48.80/31.77 tff(6313,plain,
% 48.80/31.77 (~v129(constB48, 0)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6312, 6308])).
% 48.80/31.77 tff(6314,plain,
% 48.80/31.77 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6315,plain,
% 48.80/31.77 (((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0)) <=> ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6316,plain,
% 48.80/31.77 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6315])).
% 48.80/31.77 tff(6317,plain,
% 48.80/31.77 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6316, 6314])).
% 48.80/31.77 tff(6318,plain,
% 48.80/31.77 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6319,plain,
% 48.80/31.77 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6318, 6317])).
% 48.80/31.77 tff(6320,plain,
% 48.80/31.77 ((~v90(constB48, 0)) | (~v100(constB48))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6319, 963, 6313])).
% 48.80/31.77 tff(6321,plain,
% 48.80/31.77 (~v90(constB48, 0)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6320, 6164])).
% 48.80/31.77 tff(6322,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6323,plain,
% 48.80/31.77 (((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))) <=> (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6324,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6323])).
% 48.80/31.77 tff(6325,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6324, 6322])).
% 48.80/31.77 tff(6326,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6327,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 48.80/31.77 tff(6328,plain,
% 48.80/31.77 (v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6327, 164, 6196])).
% 48.80/31.77 tff(6329,plain,
% 48.80/31.77 (v90(constB48, 0) | (~v90(constB49, 0))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6328, 6208])).
% 48.80/31.77 tff(6330,plain,
% 48.80/31.77 (~v90(constB49, 0)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6329, 6321])).
% 48.80/31.77 tff(6331,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6332,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6333,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 48.80/31.77 tff(6334,plain,
% 48.80/31.77 (v125(constB49)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6333, 1953, 6330, 6217, 6260])).
% 48.80/31.77 tff(6335,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6336,plain,
% 48.80/31.77 (((~v125(constB49)) | v113(constB49)) <=> (v113(constB49) | (~v125(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6337,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6336])).
% 48.80/31.77 tff(6338,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6337, 6335])).
% 48.80/31.77 tff(6339,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6340,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 48.80/31.77 tff(6341,plain,
% 48.80/31.77 (v113(constB49)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6340, 1964, 6334])).
% 48.80/31.77 tff(6342,assumption,(~v108(constB49)), introduced(assumption)).
% 48.80/31.77 tff(6343,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6344,plain,
% 48.80/31.77 (((~v112(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v112(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6345,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6344])).
% 48.80/31.77 tff(6346,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6345, 6343])).
% 48.80/31.77 tff(6347,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6348,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6347, 6346])).
% 48.80/31.77 tff(6349,plain,
% 48.80/31.77 (~v112(constB49)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6348, 292, 6342])).
% 48.80/31.77 tff(6350,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6351,plain,
% 48.80/31.77 (((~v26(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v26(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6352,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6351])).
% 48.80/31.77 tff(6353,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6352, 6350])).
% 48.80/31.77 tff(6354,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6355,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 48.80/31.77 tff(6356,plain,
% 48.80/31.77 (~v26(constB49)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6355, 1761, 6342])).
% 48.80/31.77 tff(6357,assumption,(v113(constB49)), introduced(assumption)).
% 48.80/31.77 tff(6358,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6359,plain,
% 48.80/31.77 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6360,plain,
% 48.80/31.77 (((~![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))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6359])).
% 48.80/31.77 tff(6361,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6360, 6358])).
% 48.80/31.77 tff(6362,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6363,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6362, 6361])).
% 48.80/31.77 tff(6364,plain,
% 48.80/31.77 (v26(constB49) | v112(constB49)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6363, 280, 6357])).
% 48.80/31.77 tff(6365,plain,
% 48.80/31.77 ($false),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6364, 6356, 6349])).
% 48.80/31.77 tff(6366,plain,(v108(constB49) | (~v113(constB49))), inference(lemma,lemma(discharge,[]))).
% 48.80/31.77 tff(6367,plain,
% 48.80/31.77 (v108(constB49)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6366, 6341])).
% 48.80/31.77 tff(6368,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6369,plain,
% 48.80/31.77 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6370,plain,
% 48.80/31.77 (((~![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))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6369])).
% 48.80/31.77 tff(6371,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6370, 6368])).
% 48.80/31.77 tff(6372,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6373,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 48.80/31.77 tff(6374,plain,
% 48.80/31.77 (v110(constB50) | (~v108(constB49))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6373, 312, 6291])).
% 48.80/31.77 tff(6375,plain,
% 48.80/31.77 (v110(constB50)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6374, 6367])).
% 48.80/31.77 tff(6376,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6377,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6378,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6377, 6376])).
% 48.80/31.77 tff(6379,plain,
% 48.80/31.77 (~v104(constB50)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6378, 330, 6291, 6193])).
% 48.80/31.77 tff(6380,plain,
% 48.80/31.77 (((~![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)) | v102(constB50) | v104(constB50))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6381,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6382,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 48.80/31.77 tff(6383,plain,
% 48.80/31.77 (v102(constB50) | v104(constB50)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6382, 344, 6291])).
% 48.80/31.77 tff(6384,plain,
% 48.80/31.77 (v102(constB50)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6383, 6379])).
% 48.80/31.77 tff(6385,plain,
% 48.80/31.77 (v1(constB50) <=> v1(constB50)),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6386,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 48.80/31.77 tff(6387,plain,
% 48.80/31.77 (v1(constB50)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 48.80/31.77 tff(6388,plain,
% 48.80/31.77 (((~![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)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6389,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6390,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6389, 6388])).
% 48.80/31.77 tff(6391,plain,
% 48.80/31.77 (v101(constB50) | (~v102(constB50))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6390, 362, 6291, 6387])).
% 48.80/31.77 tff(6392,plain,
% 48.80/31.77 (v101(constB50)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6391, 6384])).
% 48.80/31.77 tff(6393,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6394,plain,
% 48.80/31.77 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6395,plain,
% 48.80/31.77 (((~![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))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6394])).
% 48.80/31.77 tff(6396,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6395, 6393])).
% 48.80/31.77 tff(6397,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6398,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6397, 6396])).
% 48.80/31.77 tff(6399,plain,
% 48.80/31.77 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6398, 377, 6291])).
% 48.80/31.77 tff(6400,plain,
% 48.80/31.77 (v100(constB50) | (~v110(constB50))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6399, 6392])).
% 48.80/31.77 tff(6401,plain,
% 48.80/31.77 (v100(constB50)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6400, 6375])).
% 48.80/31.77 tff(6402,plain,
% 48.80/31.77 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6403,plain,
% 48.80/31.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6404,plain,
% 48.80/31.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 48.80/31.77 tff(6405,plain,
% 48.80/31.77 (~v90(constB50, 2)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6404, 626, 6401, 6296])).
% 48.80/31.77 tff(6406,plain,
% 48.80/31.77 ((~v1(constB51)) <=> (~v1(constB51))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6407,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 48.80/31.77 tff(6408,plain,
% 48.80/31.77 (~v1(constB51)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6407, 6406])).
% 48.80/31.77 tff(6409,plain,
% 48.80/31.77 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6410,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 48.80/31.77 tff(6411,plain,
% 48.80/31.77 (nextState(constB50, constB51)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 48.80/31.77 tff(6412,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6413,plain,
% 48.80/31.77 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6414,plain,
% 48.80/31.77 (((~![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))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6413])).
% 48.80/31.77 tff(6415,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6414, 6412])).
% 48.80/31.77 tff(6416,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6417,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6416, 6415])).
% 48.80/31.77 tff(6418,plain,
% 48.80/31.77 (~v101(constB51)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6417, 90, 6411, 6408])).
% 48.80/31.77 tff(6419,plain,
% 48.80/31.77 (((~![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)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6420,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6421,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6420, 6419])).
% 48.80/31.77 tff(6422,plain,
% 48.80/31.77 (v101(constB51) | (~v100(constB51))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6421, 107, 6411])).
% 48.80/31.77 tff(6423,plain,
% 48.80/31.77 (~v100(constB51)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6422, 6418])).
% 48.80/31.77 tff(6424,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6425,plain,
% 48.80/31.77 (((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))) <=> (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6426,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6425])).
% 48.80/31.77 tff(6427,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6426, 6424])).
% 48.80/31.77 tff(6428,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6429,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 48.80/31.77 tff(6430,plain,
% 48.80/31.77 (v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6429, 122, 6411])).
% 48.80/31.77 tff(6431,plain,
% 48.80/31.77 (v90(constB50, 2) | (~v90(constB51, 2))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6430, 6423])).
% 48.80/31.77 tff(6432,plain,
% 48.80/31.77 (~v90(constB51, 2)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6431, 6405])).
% 48.80/31.77 tff(6433,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6434,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6435,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 48.80/31.77 tff(6436,plain,
% 48.80/31.77 (~v130(constB49, 1)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6435, 2156, 6272, 6268, 6264, 6229, 6225, 6221])).
% 48.80/31.77 tff(6437,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6438,plain,
% 48.80/31.77 ((v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1))) <=> ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6439,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6438])).
% 48.80/31.77 tff(6440,plain,
% 48.80/31.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6439, 6437])).
% 48.80/31.77 tff(6441,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6442,plain,
% 48.80/31.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6441, 6440])).
% 48.80/31.77 tff(6443,plain,
% 48.80/31.77 ((~v127(constB49, 1)) | v130(constB49, 1)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6442, 408, 6280])).
% 48.80/31.77 tff(6444,plain,
% 48.80/31.77 (~v127(constB49, 1)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6443, 6436])).
% 48.80/31.77 tff(6445,plain,
% 48.80/31.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6446,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 48.80/31.77 inference(quant_inst,[status(thm)],[])).
% 48.80/31.77 tff(6447,plain,
% 48.80/31.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1))),
% 48.80/31.77 inference(modus_ponens,[status(thm)],[6446, 6445])).
% 48.80/31.77 tff(6448,plain,
% 48.80/31.77 (v127(constB49, 1) | (~v129(constB50, 1))),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6447, 438, 6291])).
% 48.80/31.77 tff(6449,plain,
% 48.80/31.77 (~v129(constB50, 1)),
% 48.80/31.77 inference(unit_resolution,[status(thm)],[6448, 6444])).
% 48.80/31.77 tff(6450,plain,
% 48.80/31.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6451,plain,
% 48.80/31.77 (((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1)) <=> ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 48.80/31.77 inference(rewrite,[status(thm)],[])).
% 48.80/31.77 tff(6452,plain,
% 48.80/31.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))))),
% 48.80/31.77 inference(monotonicity,[status(thm)],[6451])).
% 48.80/31.77 tff(6453,plain,
% 48.80/31.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 48.80/31.77 inference(transitivity,[status(thm)],[6452, 6450])).
% 48.80/31.78 tff(6454,plain,
% 48.80/31.78 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6455,plain,
% 48.80/31.78 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 48.80/31.78 tff(6456,plain,
% 48.80/31.78 (~v90(constB50, 1)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6455, 453, 6401, 6449])).
% 48.80/31.78 tff(6457,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6458,plain,
% 48.80/31.78 (((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))) <=> (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6459,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6458])).
% 48.80/31.78 tff(6460,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6459, 6457])).
% 48.80/31.78 tff(6461,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6462,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 48.80/31.78 tff(6463,plain,
% 48.80/31.78 (v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6462, 143, 6411])).
% 48.80/31.78 tff(6464,plain,
% 48.80/31.78 (v90(constB50, 1) | (~v90(constB51, 1))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6463, 6423])).
% 48.80/31.78 tff(6465,plain,
% 48.80/31.78 (~v90(constB51, 1)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6464, 6456])).
% 48.80/31.78 tff(6466,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6467,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6468,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 48.80/31.78 tff(6469,plain,
% 48.80/31.78 (v130(constB49, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6468, 2200, 6272, 6268, 6264, 6229, 6225, 6221])).
% 48.80/31.78 tff(6470,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6471,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6472,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 48.80/31.78 tff(6473,plain,
% 48.80/31.78 ((~v130(constB49, 0)) | v127(constB49, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6472, 515, 6280])).
% 48.80/31.78 tff(6474,plain,
% 48.80/31.78 (v127(constB49, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6473, 6469])).
% 48.80/31.78 tff(6475,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6476,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6477,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 48.80/31.78 tff(6478,plain,
% 48.80/31.78 ((~v127(constB49, 0)) | v129(constB50, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6477, 530, 6291])).
% 48.80/31.78 tff(6479,plain,
% 48.80/31.78 (v129(constB50, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6478, 6474])).
% 48.80/31.78 tff(6480,plain,
% 48.80/31.78 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6481,plain,
% 48.80/31.78 ((v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0))) <=> (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6482,plain,
% 48.80/31.78 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6481])).
% 48.80/31.78 tff(6483,plain,
% 48.80/31.78 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6482, 6480])).
% 48.80/31.78 tff(6484,plain,
% 48.80/31.78 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6485,plain,
% 48.80/31.78 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6484, 6483])).
% 48.80/31.78 tff(6486,plain,
% 48.80/31.78 (v90(constB50, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6485, 545, 6401, 6479])).
% 48.80/31.78 tff(6487,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6488,plain,
% 48.80/31.78 (((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)) <=> ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6489,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6488])).
% 48.80/31.78 tff(6490,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6489, 6487])).
% 48.80/31.78 tff(6491,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6492,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 48.80/31.78 tff(6493,plain,
% 48.80/31.78 ((~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6492, 563, 6411])).
% 48.80/31.78 tff(6494,plain,
% 48.80/31.78 ((~v90(constB50, 0)) | v90(constB51, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6493, 6423])).
% 48.80/31.78 tff(6495,plain,
% 48.80/31.78 (v90(constB51, 0)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6494, 6486])).
% 48.80/31.78 tff(6496,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6497,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6498,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 48.80/31.78 tff(6499,plain,
% 48.80/31.78 (v120(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6498, 651, 6495, 6465, 6432])).
% 48.80/31.78 tff(6500,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB51) | (~v120(constB51)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6501,plain,
% 48.80/31.78 (((~v120(constB51)) | v118(constB51)) <=> (v118(constB51) | (~v120(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6502,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB51) | (~v120(constB51))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6501])).
% 48.80/31.78 tff(6503,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6502, 6500])).
% 48.80/31.78 tff(6504,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6505,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 48.80/31.78 tff(6506,plain,
% 48.80/31.78 (v118(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6505, 665, 6499])).
% 48.80/31.78 tff(6507,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB51)) | v117(constB51))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6508,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6509,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB51)) | v117(constB51)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 48.80/31.78 tff(6510,plain,
% 48.80/31.78 (v117(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6509, 210, 6506])).
% 48.80/31.78 tff(6511,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6512,plain,
% 48.80/31.78 (((~v117(constB51)) | v116(constB51)) <=> (v116(constB51) | (~v117(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6513,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6512])).
% 48.80/31.78 tff(6514,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6513, 6511])).
% 48.80/31.78 tff(6515,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6516,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6515, 6514])).
% 48.80/31.78 tff(6517,plain,
% 48.80/31.78 (v116(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6516, 224, 6510])).
% 48.80/31.78 tff(6518,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6519,plain,
% 48.80/31.78 (((~v116(constB51)) | v115(constB51)) <=> (v115(constB51) | (~v116(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6520,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6519])).
% 48.80/31.78 tff(6521,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6520, 6518])).
% 48.80/31.78 tff(6522,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6523,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 48.80/31.78 tff(6524,plain,
% 48.80/31.78 (v115(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6523, 238, 6517])).
% 48.80/31.78 tff(6525,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6526,plain,
% 48.80/31.78 (((~v115(constB51)) | v114(constB51)) <=> (v114(constB51) | (~v115(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6527,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6526])).
% 48.80/31.78 tff(6528,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6527, 6525])).
% 48.80/31.78 tff(6529,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6530,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6529, 6528])).
% 48.80/31.78 tff(6531,plain,
% 48.80/31.78 (v114(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6530, 252, 6524])).
% 48.80/31.78 tff(6532,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6533,plain,
% 48.80/31.78 (((~v114(constB51)) | v113(constB51)) <=> (v113(constB51) | (~v114(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6534,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6533])).
% 48.80/31.78 tff(6535,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6534, 6532])).
% 48.80/31.78 tff(6536,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6537,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 48.80/31.78 tff(6538,plain,
% 48.80/31.78 (v113(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6537, 266, 6531])).
% 48.80/31.78 tff(6539,assumption,(v26(constB51)), introduced(assumption)).
% 48.80/31.78 tff(6540,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6541,plain,
% 48.80/31.78 ($false),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6540, 43, 6539])).
% 48.80/31.78 tff(6542,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.78 tff(6543,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6544,plain,
% 48.80/31.78 ((v26(constB51) | (~v113(constB51)) | v112(constB51)) <=> (v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6545,plain,
% 48.80/31.78 (((~![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) | v112(constB51) | (~v113(constB51))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6544])).
% 48.80/31.78 tff(6546,plain,
% 48.80/31.78 (((~![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) | v112(constB51) | (~v113(constB51)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6545, 6543])).
% 48.80/31.78 tff(6547,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6548,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 48.80/31.78 tff(6549,plain,
% 48.80/31.78 (v112(constB51) | (~v113(constB51))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6548, 280, 6542])).
% 48.80/31.78 tff(6550,plain,
% 48.80/31.78 (v112(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6549, 6538])).
% 48.80/31.78 tff(6551,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6552,plain,
% 48.80/31.78 (((~v112(constB51)) | v108(constB51)) <=> (v108(constB51) | (~v112(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6553,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6552])).
% 48.80/31.78 tff(6554,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6553, 6551])).
% 48.80/31.78 tff(6555,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6556,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 48.80/31.78 tff(6557,plain,
% 48.80/31.78 (v108(constB51)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6556, 292, 6550])).
% 48.80/31.78 tff(6558,plain,
% 48.80/31.78 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6559,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 48.80/31.78 tff(6560,plain,
% 48.80/31.78 (nextState(constB51, constB52)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6559, 6558])).
% 48.80/31.78 tff(6561,plain,
% 48.80/31.78 (((~![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)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6562,plain,
% 48.80/31.78 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6563,plain,
% 48.80/31.78 (((~![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))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6562])).
% 48.80/31.78 tff(6564,plain,
% 48.80/31.78 (((~![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)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6563, 6561])).
% 48.80/31.78 tff(6565,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6566,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6565, 6564])).
% 48.80/31.78 tff(6567,plain,
% 48.80/31.78 (v110(constB52) | (~v108(constB51))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6566, 312, 6560])).
% 48.80/31.78 tff(6568,plain,
% 48.80/31.78 (v110(constB52)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6567, 6557])).
% 48.80/31.78 tff(6569,plain,
% 48.80/31.78 (((~![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)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6570,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6571,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 48.80/31.78 tff(6572,plain,
% 48.80/31.78 (~v104(constB52)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6571, 330, 6560, 6408])).
% 48.80/31.78 tff(6573,plain,
% 48.80/31.78 (((~![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)) | v102(constB52) | v104(constB52))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6574,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6575,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 48.80/31.78 tff(6576,plain,
% 48.80/31.78 (v102(constB52) | v104(constB52)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6575, 344, 6560])).
% 48.80/31.78 tff(6577,plain,
% 48.80/31.78 (v102(constB52)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6576, 6572])).
% 48.80/31.78 tff(6578,plain,
% 48.80/31.78 (v1(constB52) <=> v1(constB52)),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6579,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 48.80/31.78 tff(6580,plain,
% 48.80/31.78 (v1(constB52)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 48.80/31.78 tff(6581,plain,
% 48.80/31.78 (((~![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)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6582,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6583,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 48.80/31.78 tff(6584,plain,
% 48.80/31.78 (v101(constB52) | (~v102(constB52))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6583, 362, 6560, 6580])).
% 48.80/31.78 tff(6585,plain,
% 48.80/31.78 (v101(constB52)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6584, 6577])).
% 48.80/31.78 tff(6586,plain,
% 48.80/31.78 (((~![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)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6587,plain,
% 48.80/31.78 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6588,plain,
% 48.80/31.78 (((~![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))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6587])).
% 48.80/31.78 tff(6589,plain,
% 48.80/31.78 (((~![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)))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6588, 6586])).
% 48.80/31.78 tff(6590,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6591,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 48.80/31.78 tff(6592,plain,
% 48.80/31.78 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6591, 377, 6560])).
% 48.80/31.78 tff(6593,plain,
% 48.80/31.78 (v100(constB52) | (~v110(constB52))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6592, 6585])).
% 48.80/31.78 tff(6594,plain,
% 48.80/31.78 (v100(constB52)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6593, 6568])).
% 48.80/31.78 tff(6595,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6596,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6597,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 48.80/31.78 tff(6598,plain,
% 48.80/31.78 (~v130(constB51, 2)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6597, 767, 6499])).
% 48.80/31.78 tff(6599,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6600,plain,
% 48.80/31.78 ((v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2))) <=> ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6601,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6600])).
% 48.80/31.78 tff(6602,plain,
% 48.80/31.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 48.80/31.78 inference(transitivity,[status(thm)],[6601, 6599])).
% 48.80/31.78 tff(6603,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6604,plain,
% 48.80/31.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 48.80/31.78 tff(6605,plain,
% 48.80/31.78 ((~v127(constB51, 2)) | v130(constB51, 2)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6604, 593, 6542])).
% 48.80/31.78 tff(6606,plain,
% 48.80/31.78 (~v127(constB51, 2)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6605, 6598])).
% 48.80/31.78 tff(6607,plain,
% 48.80/31.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6608,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6609,plain,
% 48.80/31.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6608, 6607])).
% 48.80/31.78 tff(6610,plain,
% 48.80/31.78 (v127(constB51, 2) | (~v129(constB52, 2))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6609, 611, 6560])).
% 48.80/31.78 tff(6611,plain,
% 48.80/31.78 (~v129(constB52, 2)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6610, 6606])).
% 48.80/31.78 tff(6612,plain,
% 48.80/31.78 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6613,plain,
% 48.80/31.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 48.80/31.78 inference(quant_inst,[status(thm)],[])).
% 48.80/31.78 tff(6614,plain,
% 48.80/31.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52))),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 48.80/31.78 tff(6615,plain,
% 48.80/31.78 ((~v90(constB52, 2)) | (~v100(constB52))),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6614, 626, 6611])).
% 48.80/31.78 tff(6616,plain,
% 48.80/31.78 (~v90(constB52, 2)),
% 48.80/31.78 inference(unit_resolution,[status(thm)],[6615, 6594])).
% 48.80/31.78 tff(6617,plain,
% 48.80/31.78 ((~v1(constB53)) <=> (~v1(constB53))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6618,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 48.80/31.78 tff(6619,plain,
% 48.80/31.78 (~v1(constB53)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 48.80/31.78 tff(6620,plain,
% 48.80/31.78 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6621,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 48.80/31.78 tff(6622,plain,
% 48.80/31.78 (nextState(constB52, constB53)),
% 48.80/31.78 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 48.80/31.78 tff(6623,plain,
% 48.80/31.78 (((~![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)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6624,plain,
% 48.80/31.78 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 48.80/31.78 inference(rewrite,[status(thm)],[])).
% 48.80/31.78 tff(6625,plain,
% 48.80/31.78 (((~![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))))),
% 48.80/31.78 inference(monotonicity,[status(thm)],[6624])).
% 48.80/31.78 tff(6626,plain,
% 48.80/31.78 (((~![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)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6625, 6623])).
% 48.80/31.79 tff(6627,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6628,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6627, 6626])).
% 48.80/31.79 tff(6629,plain,
% 48.80/31.79 (~v101(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6628, 90, 6622, 6619])).
% 48.80/31.79 tff(6630,plain,
% 48.80/31.79 (((~![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)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6631,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6632,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 48.80/31.79 tff(6633,plain,
% 48.80/31.79 (v101(constB53) | (~v100(constB53))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6632, 107, 6622])).
% 48.80/31.79 tff(6634,plain,
% 48.80/31.79 (~v100(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6633, 6629])).
% 48.80/31.79 tff(6635,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6636,plain,
% 48.80/31.79 (((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))) <=> (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6637,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6636])).
% 48.80/31.79 tff(6638,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6637, 6635])).
% 48.80/31.79 tff(6639,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6640,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6639, 6638])).
% 48.80/31.79 tff(6641,plain,
% 48.80/31.79 (v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6640, 122, 6622])).
% 48.80/31.79 tff(6642,plain,
% 48.80/31.79 (v90(constB52, 2) | (~v90(constB53, 2))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6641, 6634])).
% 48.80/31.79 tff(6643,plain,
% 48.80/31.79 (~v90(constB53, 2)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6642, 6616])).
% 48.80/31.79 tff(6644,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6645,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6646,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 48.80/31.79 tff(6647,plain,
% 48.80/31.79 (v130(constB51, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6646, 838, 6499])).
% 48.80/31.79 tff(6648,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6649,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6650,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 48.80/31.79 tff(6651,plain,
% 48.80/31.79 ((~v130(constB51, 1)) | v127(constB51, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6650, 852, 6542])).
% 48.80/31.79 tff(6652,plain,
% 48.80/31.79 (v127(constB51, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6651, 6647])).
% 48.80/31.79 tff(6653,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6654,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6655,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 48.80/31.79 tff(6656,plain,
% 48.80/31.79 ((~v127(constB51, 1)) | v129(constB52, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6655, 867, 6560])).
% 48.80/31.79 tff(6657,plain,
% 48.80/31.79 (v129(constB52, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6656, 6652])).
% 48.80/31.79 tff(6658,plain,
% 48.80/31.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6659,plain,
% 48.80/31.79 ((v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1))) <=> (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6660,plain,
% 48.80/31.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6659])).
% 48.80/31.79 tff(6661,plain,
% 48.80/31.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6660, 6658])).
% 48.80/31.79 tff(6662,plain,
% 48.80/31.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6663,plain,
% 48.80/31.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 48.80/31.79 tff(6664,plain,
% 48.80/31.79 (v90(constB52, 1) | (~v100(constB52))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6663, 882, 6657])).
% 48.80/31.79 tff(6665,plain,
% 48.80/31.79 (v90(constB52, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6664, 6594])).
% 48.80/31.79 tff(6666,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6667,plain,
% 48.80/31.79 (((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)) <=> ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6668,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6667])).
% 48.80/31.79 tff(6669,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6668, 6666])).
% 48.80/31.79 tff(6670,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6671,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 48.80/31.79 tff(6672,plain,
% 48.80/31.79 ((~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6671, 900, 6622])).
% 48.80/31.79 tff(6673,plain,
% 48.80/31.79 ((~v90(constB52, 1)) | v90(constB53, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6672, 6634])).
% 48.80/31.79 tff(6674,plain,
% 48.80/31.79 (v90(constB53, 1)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6673, 6665])).
% 48.80/31.79 tff(6675,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6676,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6677,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6676, 6675])).
% 48.80/31.79 tff(6678,plain,
% 48.80/31.79 (~v130(constB51, 0)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6677, 916, 6499])).
% 48.80/31.79 tff(6679,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6680,plain,
% 48.80/31.79 ((v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0))) <=> ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6681,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6680])).
% 48.80/31.79 tff(6682,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6681, 6679])).
% 48.80/31.79 tff(6683,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6684,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6683, 6682])).
% 48.80/31.79 tff(6685,plain,
% 48.80/31.79 ((~v127(constB51, 0)) | v130(constB51, 0)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6684, 930, 6542])).
% 48.80/31.79 tff(6686,plain,
% 48.80/31.79 (~v127(constB51, 0)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6685, 6678])).
% 48.80/31.79 tff(6687,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6688,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6689,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6688, 6687])).
% 48.80/31.79 tff(6690,plain,
% 48.80/31.79 (v127(constB51, 0) | (~v129(constB52, 0))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6689, 948, 6560])).
% 48.80/31.79 tff(6691,plain,
% 48.80/31.79 (~v129(constB52, 0)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6690, 6686])).
% 48.80/31.79 tff(6692,plain,
% 48.80/31.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6693,plain,
% 48.80/31.79 (((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0)) <=> ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6694,plain,
% 48.80/31.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6693])).
% 48.80/31.79 tff(6695,plain,
% 48.80/31.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6694, 6692])).
% 48.80/31.79 tff(6696,plain,
% 48.80/31.79 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6697,plain,
% 48.80/31.79 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6696, 6695])).
% 48.80/31.79 tff(6698,plain,
% 48.80/31.79 ((~v90(constB52, 0)) | (~v100(constB52))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6697, 963, 6691])).
% 48.80/31.79 tff(6699,plain,
% 48.80/31.79 (~v90(constB52, 0)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6698, 6594])).
% 48.80/31.79 tff(6700,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6701,plain,
% 48.80/31.79 (((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))) <=> (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6702,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6701])).
% 48.80/31.79 tff(6703,plain,
% 48.80/31.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6702, 6700])).
% 48.80/31.79 tff(6704,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6705,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 48.80/31.79 tff(6706,plain,
% 48.80/31.79 (v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6705, 164, 6622])).
% 48.80/31.79 tff(6707,plain,
% 48.80/31.79 (v90(constB52, 0) | (~v90(constB53, 0))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6706, 6634])).
% 48.80/31.79 tff(6708,plain,
% 48.80/31.79 (~v90(constB53, 0)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6707, 6699])).
% 48.80/31.79 tff(6709,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6710,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6711,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 48.80/31.79 tff(6712,plain,
% 48.80/31.79 (v121(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6711, 990, 6708, 6674, 6643])).
% 48.80/31.79 tff(6713,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6714,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6715,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 48.80/31.79 tff(6716,plain,
% 48.80/31.79 (v117(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6715, 1001, 6712])).
% 48.80/31.79 tff(6717,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6718,plain,
% 48.80/31.79 (((~v117(constB53)) | v116(constB53)) <=> (v116(constB53) | (~v117(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6719,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB53) | (~v117(constB53))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6718])).
% 48.80/31.79 tff(6720,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6719, 6717])).
% 48.80/31.79 tff(6721,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6722,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6721, 6720])).
% 48.80/31.79 tff(6723,plain,
% 48.80/31.79 (v116(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6722, 224, 6716])).
% 48.80/31.79 tff(6724,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6725,plain,
% 48.80/31.79 (((~v116(constB53)) | v115(constB53)) <=> (v115(constB53) | (~v116(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6726,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v116(constB53))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6725])).
% 48.80/31.79 tff(6727,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6726, 6724])).
% 48.80/31.79 tff(6728,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6729,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6728, 6727])).
% 48.80/31.79 tff(6730,plain,
% 48.80/31.79 (v115(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6729, 238, 6723])).
% 48.80/31.79 tff(6731,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6732,plain,
% 48.80/31.79 (((~v115(constB53)) | v114(constB53)) <=> (v114(constB53) | (~v115(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6733,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6732])).
% 48.80/31.79 tff(6734,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6733, 6731])).
% 48.80/31.79 tff(6735,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6736,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6735, 6734])).
% 48.80/31.79 tff(6737,plain,
% 48.80/31.79 (v114(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6736, 252, 6730])).
% 48.80/31.79 tff(6738,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6739,plain,
% 48.80/31.79 (((~v114(constB53)) | v113(constB53)) <=> (v113(constB53) | (~v114(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6740,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6739])).
% 48.80/31.79 tff(6741,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6740, 6738])).
% 48.80/31.79 tff(6742,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6743,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 48.80/31.79 tff(6744,plain,
% 48.80/31.79 (v113(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6743, 266, 6737])).
% 48.80/31.79 tff(6745,assumption,(v26(constB53)), introduced(assumption)).
% 48.80/31.79 tff(6746,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6747,plain,
% 48.80/31.79 ($false),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6746, 43, 6745])).
% 48.80/31.79 tff(6748,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.79 tff(6749,plain,
% 48.80/31.79 (((~![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) | (~v113(constB53)) | v112(constB53))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6750,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6751,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | (~v113(constB53)) | v112(constB53)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 48.80/31.79 tff(6752,plain,
% 48.80/31.79 ((~v113(constB53)) | v112(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6751, 280, 6748])).
% 48.80/31.79 tff(6753,plain,
% 48.80/31.79 (v112(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6752, 6744])).
% 48.80/31.79 tff(6754,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6755,plain,
% 48.80/31.79 (((~v112(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v112(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6756,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6755])).
% 48.80/31.79 tff(6757,plain,
% 48.80/31.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6756, 6754])).
% 48.80/31.79 tff(6758,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6759,plain,
% 48.80/31.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 48.80/31.79 tff(6760,plain,
% 48.80/31.79 (v108(constB53)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6759, 292, 6753])).
% 48.80/31.79 tff(6761,plain,
% 48.80/31.79 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6762,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 48.80/31.79 tff(6763,plain,
% 48.80/31.79 (nextState(constB53, constB54)),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 48.80/31.79 tff(6764,plain,
% 48.80/31.79 (((~![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)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6765,plain,
% 48.80/31.79 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6766,plain,
% 48.80/31.79 (((~![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))))),
% 48.80/31.79 inference(monotonicity,[status(thm)],[6765])).
% 48.80/31.79 tff(6767,plain,
% 48.80/31.79 (((~![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)))),
% 48.80/31.79 inference(transitivity,[status(thm)],[6766, 6764])).
% 48.80/31.79 tff(6768,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6769,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6768, 6767])).
% 48.80/31.79 tff(6770,plain,
% 48.80/31.79 (v110(constB54) | (~v108(constB53))),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6769, 312, 6763])).
% 48.80/31.79 tff(6771,plain,
% 48.80/31.79 (v110(constB54)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6770, 6760])).
% 48.80/31.79 tff(6772,plain,
% 48.80/31.79 (((~![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)))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6773,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6774,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 48.80/31.79 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 48.80/31.79 tff(6775,plain,
% 48.80/31.79 (~v104(constB54)),
% 48.80/31.79 inference(unit_resolution,[status(thm)],[6774, 330, 6763, 6619])).
% 48.80/31.79 tff(6776,plain,
% 48.80/31.79 (((~![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)) | v102(constB54) | v104(constB54))),
% 48.80/31.79 inference(rewrite,[status(thm)],[])).
% 48.80/31.79 tff(6777,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 48.80/31.79 inference(quant_inst,[status(thm)],[])).
% 48.80/31.79 tff(6778,plain,
% 48.80/31.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 48.80/31.80 tff(6779,plain,
% 48.80/31.80 (v102(constB54) | v104(constB54)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6778, 344, 6763])).
% 48.80/31.80 tff(6780,plain,
% 48.80/31.80 (v102(constB54)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6779, 6775])).
% 48.80/31.80 tff(6781,plain,
% 48.80/31.80 (v1(constB54) <=> v1(constB54)),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6782,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 48.80/31.80 tff(6783,plain,
% 48.80/31.80 (v1(constB54)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 48.80/31.80 tff(6784,plain,
% 48.80/31.80 (((~![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)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6785,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6786,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6785, 6784])).
% 48.80/31.80 tff(6787,plain,
% 48.80/31.80 (v101(constB54) | (~v102(constB54))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6786, 362, 6763, 6783])).
% 48.80/31.80 tff(6788,plain,
% 48.80/31.80 (v101(constB54)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6787, 6780])).
% 48.80/31.80 tff(6789,plain,
% 48.80/31.80 (((~![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)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6790,plain,
% 48.80/31.80 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6791,plain,
% 48.80/31.80 (((~![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))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6790])).
% 48.80/31.80 tff(6792,plain,
% 48.80/31.80 (((~![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)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6791, 6789])).
% 48.80/31.80 tff(6793,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6794,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 48.80/31.80 tff(6795,plain,
% 48.80/31.80 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6794, 377, 6763])).
% 48.80/31.80 tff(6796,plain,
% 48.80/31.80 (v100(constB54) | (~v110(constB54))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6795, 6788])).
% 48.80/31.80 tff(6797,plain,
% 48.80/31.80 (v100(constB54)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6796, 6771])).
% 48.80/31.80 tff(6798,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6799,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6800,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6799, 6798])).
% 48.80/31.80 tff(6801,plain,
% 48.80/31.80 (~v130(constB53, 2)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6800, 1090, 6712])).
% 48.80/31.80 tff(6802,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6803,plain,
% 48.80/31.80 ((v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2))) <=> ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6804,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6803])).
% 48.80/31.80 tff(6805,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6804, 6802])).
% 48.80/31.80 tff(6806,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6807,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 48.80/31.80 tff(6808,plain,
% 48.80/31.80 ((~v127(constB53, 2)) | v130(constB53, 2)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6807, 593, 6748])).
% 48.80/31.80 tff(6809,plain,
% 48.80/31.80 (~v127(constB53, 2)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6808, 6801])).
% 48.80/31.80 tff(6810,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6811,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6812,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 48.80/31.80 tff(6813,plain,
% 48.80/31.80 (v127(constB53, 2) | (~v129(constB54, 2))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6812, 611, 6763])).
% 48.80/31.80 tff(6814,plain,
% 48.80/31.80 (~v129(constB54, 2)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6813, 6809])).
% 48.80/31.80 tff(6815,plain,
% 48.80/31.80 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6816,plain,
% 48.80/31.80 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6817,plain,
% 48.80/31.80 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6816, 6815])).
% 48.80/31.80 tff(6818,plain,
% 48.80/31.80 ((~v90(constB54, 2)) | (~v100(constB54))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6817, 626, 6814])).
% 48.80/31.80 tff(6819,plain,
% 48.80/31.80 (~v90(constB54, 2)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6818, 6797])).
% 48.80/31.80 tff(6820,plain,
% 48.80/31.80 ((~v1(constB55)) <=> (~v1(constB55))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6821,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 48.80/31.80 tff(6822,plain,
% 48.80/31.80 (~v1(constB55)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6821, 6820])).
% 48.80/31.80 tff(6823,plain,
% 48.80/31.80 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6824,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 48.80/31.80 tff(6825,plain,
% 48.80/31.80 (nextState(constB54, constB55)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6824, 6823])).
% 48.80/31.80 tff(6826,plain,
% 48.80/31.80 (((~![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)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6827,plain,
% 48.80/31.80 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6828,plain,
% 48.80/31.80 (((~![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))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6827])).
% 48.80/31.80 tff(6829,plain,
% 48.80/31.80 (((~![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)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6828, 6826])).
% 48.80/31.80 tff(6830,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6831,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 48.80/31.80 tff(6832,plain,
% 48.80/31.80 (~v101(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6831, 90, 6825, 6822])).
% 48.80/31.80 tff(6833,plain,
% 48.80/31.80 (((~![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)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6834,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6835,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 48.80/31.80 tff(6836,plain,
% 48.80/31.80 (v101(constB55) | (~v100(constB55))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6835, 107, 6825])).
% 48.80/31.80 tff(6837,plain,
% 48.80/31.80 (~v100(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6836, 6832])).
% 48.80/31.80 tff(6838,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6839,plain,
% 48.80/31.80 (((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))) <=> (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6840,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6839])).
% 48.80/31.80 tff(6841,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6840, 6838])).
% 48.80/31.80 tff(6842,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6843,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 48.80/31.80 tff(6844,plain,
% 48.80/31.80 (v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6843, 122, 6825])).
% 48.80/31.80 tff(6845,plain,
% 48.80/31.80 (v90(constB54, 2) | (~v90(constB55, 2))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6844, 6837])).
% 48.80/31.80 tff(6846,plain,
% 48.80/31.80 (~v90(constB55, 2)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6845, 6819])).
% 48.80/31.80 tff(6847,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6848,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6849,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 48.80/31.80 tff(6850,plain,
% 48.80/31.80 (v130(constB53, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6849, 1146, 6712])).
% 48.80/31.80 tff(6851,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6852,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6853,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6852, 6851])).
% 48.80/31.80 tff(6854,plain,
% 48.80/31.80 ((~v130(constB53, 1)) | v127(constB53, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6853, 852, 6748])).
% 48.80/31.80 tff(6855,plain,
% 48.80/31.80 (v127(constB53, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6854, 6850])).
% 48.80/31.80 tff(6856,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6857,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6858,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 48.80/31.80 tff(6859,plain,
% 48.80/31.80 ((~v127(constB53, 1)) | v129(constB54, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6858, 867, 6763])).
% 48.80/31.80 tff(6860,plain,
% 48.80/31.80 (v129(constB54, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6859, 6855])).
% 48.80/31.80 tff(6861,plain,
% 48.80/31.80 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6862,plain,
% 48.80/31.80 ((v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1))) <=> (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6863,plain,
% 48.80/31.80 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6862])).
% 48.80/31.80 tff(6864,plain,
% 48.80/31.80 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6863, 6861])).
% 48.80/31.80 tff(6865,plain,
% 48.80/31.80 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6866,plain,
% 48.80/31.80 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 48.80/31.80 tff(6867,plain,
% 48.80/31.80 (v90(constB54, 1) | (~v100(constB54))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6866, 882, 6860])).
% 48.80/31.80 tff(6868,plain,
% 48.80/31.80 (v90(constB54, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6867, 6797])).
% 48.80/31.80 tff(6869,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6870,plain,
% 48.80/31.80 (((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)) <=> ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6871,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6870])).
% 48.80/31.80 tff(6872,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6871, 6869])).
% 48.80/31.80 tff(6873,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6874,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 48.80/31.80 tff(6875,plain,
% 48.80/31.80 ((~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6874, 900, 6825])).
% 48.80/31.80 tff(6876,plain,
% 48.80/31.80 ((~v90(constB54, 1)) | v90(constB55, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6875, 6837])).
% 48.80/31.80 tff(6877,plain,
% 48.80/31.80 (v90(constB55, 1)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6876, 6868])).
% 48.80/31.80 tff(6878,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6879,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6880,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 48.80/31.80 tff(6881,plain,
% 48.80/31.80 (v130(constB53, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6880, 1184, 6712])).
% 48.80/31.80 tff(6882,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6883,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6884,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 48.80/31.80 tff(6885,plain,
% 48.80/31.80 ((~v130(constB53, 0)) | v127(constB53, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6884, 515, 6748])).
% 48.80/31.80 tff(6886,plain,
% 48.80/31.80 (v127(constB53, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6885, 6881])).
% 48.80/31.80 tff(6887,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6888,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6889,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 48.80/31.80 tff(6890,plain,
% 48.80/31.80 ((~v127(constB53, 0)) | v129(constB54, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6889, 530, 6763])).
% 48.80/31.80 tff(6891,plain,
% 48.80/31.80 (v129(constB54, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6890, 6886])).
% 48.80/31.80 tff(6892,plain,
% 48.80/31.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6893,plain,
% 48.80/31.80 ((v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0))) <=> (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6894,plain,
% 48.80/31.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6893])).
% 48.80/31.80 tff(6895,plain,
% 48.80/31.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6894, 6892])).
% 48.80/31.80 tff(6896,plain,
% 48.80/31.80 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6897,plain,
% 48.80/31.80 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 48.80/31.80 tff(6898,plain,
% 48.80/31.80 (v90(constB54, 0) | (~v100(constB54))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6897, 545, 6891])).
% 48.80/31.80 tff(6899,plain,
% 48.80/31.80 (v90(constB54, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6898, 6797])).
% 48.80/31.80 tff(6900,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6901,plain,
% 48.80/31.80 (((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)) <=> ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6902,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6901])).
% 48.80/31.80 tff(6903,plain,
% 48.80/31.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6902, 6900])).
% 48.80/31.80 tff(6904,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6905,plain,
% 48.80/31.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6904, 6903])).
% 48.80/31.80 tff(6906,plain,
% 48.80/31.80 ((~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6905, 563, 6825])).
% 48.80/31.80 tff(6907,plain,
% 48.80/31.80 ((~v90(constB54, 0)) | v90(constB55, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6906, 6837])).
% 48.80/31.80 tff(6908,plain,
% 48.80/31.80 (v90(constB55, 0)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6907, 6899])).
% 48.80/31.80 tff(6909,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6910,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6911,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 48.80/31.80 tff(6912,plain,
% 48.80/31.80 (v122(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6911, 1225, 6908, 6877, 6846])).
% 48.80/31.80 tff(6913,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6914,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6915,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6914, 6913])).
% 48.80/31.80 tff(6916,plain,
% 48.80/31.80 (v116(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6915, 1236, 6912])).
% 48.80/31.80 tff(6917,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6918,plain,
% 48.80/31.80 (((~v116(constB55)) | v115(constB55)) <=> (v115(constB55) | (~v116(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6919,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6918])).
% 48.80/31.80 tff(6920,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6919, 6917])).
% 48.80/31.80 tff(6921,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6922,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 48.80/31.80 tff(6923,plain,
% 48.80/31.80 (v115(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6922, 238, 6916])).
% 48.80/31.80 tff(6924,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6925,plain,
% 48.80/31.80 (((~v115(constB55)) | v114(constB55)) <=> (v114(constB55) | (~v115(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6926,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6925])).
% 48.80/31.80 tff(6927,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6926, 6924])).
% 48.80/31.80 tff(6928,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6929,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 48.80/31.80 tff(6930,plain,
% 48.80/31.80 (v114(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6929, 252, 6923])).
% 48.80/31.80 tff(6931,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB55)) | v113(constB55))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6932,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6933,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB55)) | v113(constB55)),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 48.80/31.80 tff(6934,plain,
% 48.80/31.80 (v113(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6933, 266, 6930])).
% 48.80/31.80 tff(6935,assumption,(v26(constB55)), introduced(assumption)).
% 48.80/31.80 tff(6936,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6937,plain,
% 48.80/31.80 ($false),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6936, 43, 6935])).
% 48.80/31.80 tff(6938,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.80 tff(6939,plain,
% 48.80/31.80 (((~![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)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6940,plain,
% 48.80/31.80 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6941,plain,
% 48.80/31.80 (((~![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))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6940])).
% 48.80/31.80 tff(6942,plain,
% 48.80/31.80 (((~![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)))),
% 48.80/31.80 inference(transitivity,[status(thm)],[6941, 6939])).
% 48.80/31.80 tff(6943,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 48.80/31.80 inference(quant_inst,[status(thm)],[])).
% 48.80/31.80 tff(6944,plain,
% 48.80/31.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 48.80/31.80 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 48.80/31.80 tff(6945,plain,
% 48.80/31.80 (v112(constB55) | (~v113(constB55))),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6944, 280, 6938])).
% 48.80/31.80 tff(6946,plain,
% 48.80/31.80 (v112(constB55)),
% 48.80/31.80 inference(unit_resolution,[status(thm)],[6945, 6934])).
% 48.80/31.80 tff(6947,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6948,plain,
% 48.80/31.80 (((~v112(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v112(constB55)))),
% 48.80/31.80 inference(rewrite,[status(thm)],[])).
% 48.80/31.80 tff(6949,plain,
% 48.80/31.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55))))),
% 48.80/31.80 inference(monotonicity,[status(thm)],[6948])).
% 48.80/31.80 tff(6950,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[6949, 6947])).
% 48.80/31.81 tff(6951,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6952,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6951, 6950])).
% 48.80/31.81 tff(6953,plain,
% 48.80/31.81 (v108(constB55)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6952, 292, 6946])).
% 48.80/31.81 tff(6954,plain,
% 48.80/31.81 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6955,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 48.80/31.81 tff(6956,plain,
% 48.80/31.81 (nextState(constB55, constB56)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6955, 6954])).
% 48.80/31.81 tff(6957,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6958,plain,
% 48.80/31.81 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6959,plain,
% 48.80/31.81 (((~![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))))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[6958])).
% 48.80/31.81 tff(6960,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[6959, 6957])).
% 48.80/31.81 tff(6961,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6962,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6961, 6960])).
% 48.80/31.81 tff(6963,plain,
% 48.80/31.81 (v110(constB56) | (~v108(constB55))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6962, 312, 6956])).
% 48.80/31.81 tff(6964,plain,
% 48.80/31.81 (v110(constB56)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6963, 6953])).
% 48.80/31.81 tff(6965,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6966,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6967,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 48.80/31.81 tff(6968,plain,
% 48.80/31.81 (~v104(constB56)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6967, 330, 6956, 6822])).
% 48.80/31.81 tff(6969,plain,
% 48.80/31.81 (((~![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)) | v102(constB56) | v104(constB56))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6970,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6971,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 48.80/31.81 tff(6972,plain,
% 48.80/31.81 (v102(constB56) | v104(constB56)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6971, 344, 6956])).
% 48.80/31.81 tff(6973,plain,
% 48.80/31.81 (v102(constB56)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6972, 6968])).
% 48.80/31.81 tff(6974,plain,
% 48.80/31.81 (v1(constB56) <=> v1(constB56)),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6975,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 48.80/31.81 tff(6976,plain,
% 48.80/31.81 (v1(constB56)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6975, 6974])).
% 48.80/31.81 tff(6977,plain,
% 48.80/31.81 (((~![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)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6978,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6979,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6978, 6977])).
% 48.80/31.81 tff(6980,plain,
% 48.80/31.81 (v101(constB56) | (~v102(constB56))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6979, 362, 6956, 6976])).
% 48.80/31.81 tff(6981,plain,
% 48.80/31.81 (v101(constB56)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6980, 6973])).
% 48.80/31.81 tff(6982,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6983,plain,
% 48.80/31.81 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6984,plain,
% 48.80/31.81 (((~![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))))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[6983])).
% 48.80/31.81 tff(6985,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[6984, 6982])).
% 48.80/31.81 tff(6986,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6987,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6986, 6985])).
% 48.80/31.81 tff(6988,plain,
% 48.80/31.81 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6987, 377, 6956])).
% 48.80/31.81 tff(6989,plain,
% 48.80/31.81 (v100(constB56) | (~v110(constB56))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6988, 6981])).
% 48.80/31.81 tff(6990,plain,
% 48.80/31.81 (v100(constB56)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6989, 6964])).
% 48.80/31.81 tff(6991,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6992,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6993,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6992, 6991])).
% 48.80/31.81 tff(6994,plain,
% 48.80/31.81 (v130(constB55, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6993, 1314, 6912])).
% 48.80/31.81 tff(6995,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(6996,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(6997,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[6996, 6995])).
% 48.80/31.81 tff(6998,plain,
% 48.80/31.81 ((~v130(constB55, 2)) | v127(constB55, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6997, 1328, 6938])).
% 48.80/31.81 tff(6999,plain,
% 48.80/31.81 (v127(constB55, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[6998, 6994])).
% 48.80/31.81 tff(7000,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7001,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7002,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7001, 7000])).
% 48.80/31.81 tff(7003,plain,
% 48.80/31.81 ((~v127(constB55, 2)) | v129(constB56, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7002, 1343, 6956])).
% 48.80/31.81 tff(7004,plain,
% 48.80/31.81 (v129(constB56, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7003, 6999])).
% 48.80/31.81 tff(7005,plain,
% 48.80/31.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7006,plain,
% 48.80/31.81 ((v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2))) <=> (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7007,plain,
% 48.80/31.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7006])).
% 48.80/31.81 tff(7008,plain,
% 48.80/31.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7007, 7005])).
% 48.80/31.81 tff(7009,plain,
% 48.80/31.81 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7010,plain,
% 48.80/31.81 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 48.80/31.81 tff(7011,plain,
% 48.80/31.81 (v90(constB56, 2) | (~v100(constB56))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7010, 1358, 7004])).
% 48.80/31.81 tff(7012,plain,
% 48.80/31.81 (v90(constB56, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7011, 6990])).
% 48.80/31.81 tff(7013,plain,
% 48.80/31.81 ((~v1(constB57)) <=> (~v1(constB57))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7014,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 48.80/31.81 tff(7015,plain,
% 48.80/31.81 (~v1(constB57)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 48.80/31.81 tff(7016,plain,
% 48.80/31.81 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7017,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 48.80/31.81 tff(7018,plain,
% 48.80/31.81 (nextState(constB56, constB57)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 48.80/31.81 tff(7019,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7020,plain,
% 48.80/31.81 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7021,plain,
% 48.80/31.81 (((~![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))))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7020])).
% 48.80/31.81 tff(7022,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7021, 7019])).
% 48.80/31.81 tff(7023,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7024,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 48.80/31.81 tff(7025,plain,
% 48.80/31.81 (~v101(constB57)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7024, 90, 7018, 7015])).
% 48.80/31.81 tff(7026,plain,
% 48.80/31.81 (((~![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)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7027,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7028,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 48.80/31.81 tff(7029,plain,
% 48.80/31.81 (v101(constB57) | (~v100(constB57))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7028, 107, 7018])).
% 48.80/31.81 tff(7030,plain,
% 48.80/31.81 (~v100(constB57)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7029, 7025])).
% 48.80/31.81 tff(7031,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7032,plain,
% 48.80/31.81 (((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)) <=> ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7033,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7032])).
% 48.80/31.81 tff(7034,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7033, 7031])).
% 48.80/31.81 tff(7035,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7036,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7035, 7034])).
% 48.80/31.81 tff(7037,plain,
% 48.80/31.81 ((~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7036, 1394, 7018])).
% 48.80/31.81 tff(7038,plain,
% 48.80/31.81 ((~v90(constB56, 2)) | v90(constB57, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7037, 7030])).
% 48.80/31.81 tff(7039,plain,
% 48.80/31.81 (v90(constB57, 2)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7038, 7012])).
% 48.80/31.81 tff(7040,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7041,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7042,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 48.80/31.81 tff(7043,plain,
% 48.80/31.81 (~v130(constB55, 1)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7042, 1410, 6912])).
% 48.80/31.81 tff(7044,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7045,plain,
% 48.80/31.81 ((v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1))) <=> ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7046,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7045])).
% 48.80/31.81 tff(7047,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7046, 7044])).
% 48.80/31.81 tff(7048,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7049,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 48.80/31.81 tff(7050,plain,
% 48.80/31.81 ((~v127(constB55, 1)) | v130(constB55, 1)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7049, 408, 6938])).
% 48.80/31.81 tff(7051,plain,
% 48.80/31.81 (~v127(constB55, 1)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7050, 7043])).
% 48.80/31.81 tff(7052,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7053,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7054,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 48.80/31.81 tff(7055,plain,
% 48.80/31.81 (v127(constB55, 1) | (~v129(constB56, 1))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7054, 438, 6956])).
% 48.80/31.81 tff(7056,plain,
% 48.80/31.81 (~v129(constB56, 1)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7055, 7051])).
% 48.80/31.81 tff(7057,plain,
% 48.80/31.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7058,plain,
% 48.80/31.81 (((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1)) <=> ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7059,plain,
% 48.80/31.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7058])).
% 48.80/31.81 tff(7060,plain,
% 48.80/31.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7059, 7057])).
% 48.80/31.81 tff(7061,plain,
% 48.80/31.81 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7062,plain,
% 48.80/31.81 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7061, 7060])).
% 48.80/31.81 tff(7063,plain,
% 48.80/31.81 ((~v90(constB56, 1)) | (~v100(constB56))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7062, 453, 7056])).
% 48.80/31.81 tff(7064,plain,
% 48.80/31.81 (~v90(constB56, 1)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7063, 6990])).
% 48.80/31.81 tff(7065,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7066,plain,
% 48.80/31.81 (((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))) <=> (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7067,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7066])).
% 48.80/31.81 tff(7068,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7067, 7065])).
% 48.80/31.81 tff(7069,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7070,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7069, 7068])).
% 48.80/31.81 tff(7071,plain,
% 48.80/31.81 (v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7070, 143, 7018])).
% 48.80/31.81 tff(7072,plain,
% 48.80/31.81 (v90(constB56, 1) | (~v90(constB57, 1))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7071, 7030])).
% 48.80/31.81 tff(7073,plain,
% 48.80/31.81 (~v90(constB57, 1)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7072, 7064])).
% 48.80/31.81 tff(7074,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7075,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7076,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 48.80/31.81 tff(7077,plain,
% 48.80/31.81 (~v130(constB55, 0)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7076, 1451, 6912])).
% 48.80/31.81 tff(7078,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7079,plain,
% 48.80/31.81 ((v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0))) <=> ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7080,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7079])).
% 48.80/31.81 tff(7081,plain,
% 48.80/31.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7080, 7078])).
% 48.80/31.81 tff(7082,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7083,plain,
% 48.80/31.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7082, 7081])).
% 48.80/31.81 tff(7084,plain,
% 48.80/31.81 ((~v127(constB55, 0)) | v130(constB55, 0)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7083, 930, 6938])).
% 48.80/31.81 tff(7085,plain,
% 48.80/31.81 (~v127(constB55, 0)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7084, 7077])).
% 48.80/31.81 tff(7086,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7087,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7088,plain,
% 48.80/31.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 48.80/31.81 tff(7089,plain,
% 48.80/31.81 (v127(constB55, 0) | (~v129(constB56, 0))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7088, 948, 6956])).
% 48.80/31.81 tff(7090,plain,
% 48.80/31.81 (~v129(constB56, 0)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7089, 7085])).
% 48.80/31.81 tff(7091,plain,
% 48.80/31.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7092,plain,
% 48.80/31.81 (((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0)) <=> ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7093,plain,
% 48.80/31.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))))),
% 48.80/31.81 inference(monotonicity,[status(thm)],[7092])).
% 48.80/31.81 tff(7094,plain,
% 48.80/31.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 48.80/31.81 inference(transitivity,[status(thm)],[7093, 7091])).
% 48.80/31.81 tff(7095,plain,
% 48.80/31.81 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))),
% 48.80/31.81 inference(quant_inst,[status(thm)],[])).
% 48.80/31.81 tff(7096,plain,
% 48.80/31.81 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))),
% 48.80/31.81 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 48.80/31.81 tff(7097,plain,
% 48.80/31.81 ((~v90(constB56, 0)) | (~v100(constB56))),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7096, 963, 7090])).
% 48.80/31.81 tff(7098,plain,
% 48.80/31.81 (~v90(constB56, 0)),
% 48.80/31.81 inference(unit_resolution,[status(thm)],[7097, 6990])).
% 48.80/31.81 tff(7099,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7100,plain,
% 48.80/31.81 (((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))) <=> (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 48.80/31.81 inference(rewrite,[status(thm)],[])).
% 48.80/31.81 tff(7101,plain,
% 48.80/31.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7100])).
% 48.80/31.82 tff(7102,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7101, 7099])).
% 48.80/31.82 tff(7103,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7104,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7103, 7102])).
% 48.80/31.82 tff(7105,plain,
% 48.80/31.82 (v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7104, 164, 7018])).
% 48.80/31.82 tff(7106,plain,
% 48.80/31.82 (v90(constB56, 0) | (~v90(constB57, 0))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7105, 7030])).
% 48.80/31.82 tff(7107,plain,
% 48.80/31.82 (~v90(constB57, 0)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7106, 7098])).
% 48.80/31.82 tff(7108,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7109,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7110,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 48.80/31.82 tff(7111,plain,
% 48.80/31.82 (v123(constB57)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7110, 1495, 7107, 7073, 7039])).
% 48.80/31.82 tff(7112,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB57) | (~v123(constB57)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7113,plain,
% 48.80/31.82 (((~v123(constB57)) | v115(constB57)) <=> (v115(constB57) | (~v123(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7114,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB57) | (~v123(constB57))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7113])).
% 48.80/31.82 tff(7115,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7114, 7112])).
% 48.80/31.82 tff(7116,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7117,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 48.80/31.82 tff(7118,plain,
% 48.80/31.82 (v115(constB57)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7117, 1506, 7111])).
% 48.80/31.82 tff(7119,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7120,plain,
% 48.80/31.82 (((~v115(constB57)) | v114(constB57)) <=> (v114(constB57) | (~v115(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7121,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7120])).
% 48.80/31.82 tff(7122,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7121, 7119])).
% 48.80/31.82 tff(7123,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7124,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 48.80/31.82 tff(7125,plain,
% 48.80/31.82 (v114(constB57)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7124, 252, 7118])).
% 48.80/31.82 tff(7126,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB57)) | v113(constB57))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7127,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7128,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB57)) | v113(constB57)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 48.80/31.82 tff(7129,plain,
% 48.80/31.82 (v113(constB57)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7128, 266, 7125])).
% 48.80/31.82 tff(7130,assumption,(v26(constB57)), introduced(assumption)).
% 48.80/31.82 tff(7131,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7132,plain,
% 48.80/31.82 ($false),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7131, 43, 7130])).
% 48.80/31.82 tff(7133,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.82 tff(7134,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | v112(constB57) | (~v113(constB57)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7135,plain,
% 48.80/31.82 ((v26(constB57) | (~v113(constB57)) | v112(constB57)) <=> (v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7136,plain,
% 48.80/31.82 (((~![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) | v112(constB57) | (~v113(constB57))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7135])).
% 48.80/31.82 tff(7137,plain,
% 48.80/31.82 (((~![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) | v112(constB57) | (~v113(constB57)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7136, 7134])).
% 48.80/31.82 tff(7138,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7139,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7138, 7137])).
% 48.80/31.82 tff(7140,plain,
% 48.80/31.82 (v112(constB57) | (~v113(constB57))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7139, 280, 7133])).
% 48.80/31.82 tff(7141,plain,
% 48.80/31.82 (v112(constB57)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7140, 7129])).
% 48.80/31.82 tff(7142,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7143,plain,
% 48.80/31.82 (((~v112(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v112(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7144,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7143])).
% 48.80/31.82 tff(7145,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7144, 7142])).
% 48.80/31.82 tff(7146,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7147,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7146, 7145])).
% 48.80/31.82 tff(7148,plain,
% 48.80/31.82 (v108(constB57)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7147, 292, 7141])).
% 48.80/31.82 tff(7149,plain,
% 48.80/31.82 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7150,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 48.80/31.82 tff(7151,plain,
% 48.80/31.82 (nextState(constB57, constB58)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7150, 7149])).
% 48.80/31.82 tff(7152,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7153,plain,
% 48.80/31.82 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7154,plain,
% 48.80/31.82 (((~![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))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7153])).
% 48.80/31.82 tff(7155,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7154, 7152])).
% 48.80/31.82 tff(7156,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7157,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 48.80/31.82 tff(7158,plain,
% 48.80/31.82 (v110(constB58) | (~v108(constB57))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7157, 312, 7151])).
% 48.80/31.82 tff(7159,plain,
% 48.80/31.82 (v110(constB58)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7158, 7148])).
% 48.80/31.82 tff(7160,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7161,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7162,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 48.80/31.82 tff(7163,plain,
% 48.80/31.82 (~v104(constB58)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7162, 330, 7151, 7015])).
% 48.80/31.82 tff(7164,plain,
% 48.80/31.82 (((~![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)) | v102(constB58) | v104(constB58))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7165,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7166,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7165, 7164])).
% 48.80/31.82 tff(7167,plain,
% 48.80/31.82 (v102(constB58) | v104(constB58)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7166, 344, 7151])).
% 48.80/31.82 tff(7168,plain,
% 48.80/31.82 (v102(constB58)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7167, 7163])).
% 48.80/31.82 tff(7169,plain,
% 48.80/31.82 (v1(constB58) <=> v1(constB58)),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7170,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 48.80/31.82 tff(7171,plain,
% 48.80/31.82 (v1(constB58)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 48.80/31.82 tff(7172,plain,
% 48.80/31.82 (((~![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)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7173,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7174,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7173, 7172])).
% 48.80/31.82 tff(7175,plain,
% 48.80/31.82 (v101(constB58) | (~v102(constB58))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7174, 362, 7151, 7171])).
% 48.80/31.82 tff(7176,plain,
% 48.80/31.82 (v101(constB58)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7175, 7168])).
% 48.80/31.82 tff(7177,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7178,plain,
% 48.80/31.82 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7179,plain,
% 48.80/31.82 (((~![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))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7178])).
% 48.80/31.82 tff(7180,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7179, 7177])).
% 48.80/31.82 tff(7181,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7182,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 48.80/31.82 tff(7183,plain,
% 48.80/31.82 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7182, 377, 7151])).
% 48.80/31.82 tff(7184,plain,
% 48.80/31.82 (v100(constB58) | (~v110(constB58))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7183, 7176])).
% 48.80/31.82 tff(7185,plain,
% 48.80/31.82 (v100(constB58)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7184, 7159])).
% 48.80/31.82 tff(7186,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7187,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7188,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 48.80/31.82 tff(7189,plain,
% 48.80/31.82 (v130(constB57, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7188, 1580, 7111])).
% 48.80/31.82 tff(7190,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7191,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7192,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 48.80/31.82 tff(7193,plain,
% 48.80/31.82 ((~v130(constB57, 2)) | v127(constB57, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7192, 1328, 7133])).
% 48.80/31.82 tff(7194,plain,
% 48.80/31.82 (v127(constB57, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7193, 7189])).
% 48.80/31.82 tff(7195,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7196,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7197,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7196, 7195])).
% 48.80/31.82 tff(7198,plain,
% 48.80/31.82 ((~v127(constB57, 2)) | v129(constB58, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7197, 1343, 7151])).
% 48.80/31.82 tff(7199,plain,
% 48.80/31.82 (v129(constB58, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7198, 7194])).
% 48.80/31.82 tff(7200,plain,
% 48.80/31.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7201,plain,
% 48.80/31.82 ((v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2))) <=> (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7202,plain,
% 48.80/31.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7201])).
% 48.80/31.82 tff(7203,plain,
% 48.80/31.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7202, 7200])).
% 48.80/31.82 tff(7204,plain,
% 48.80/31.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7205,plain,
% 48.80/31.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 48.80/31.82 tff(7206,plain,
% 48.80/31.82 (v90(constB58, 2) | (~v100(constB58))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7205, 1358, 7199])).
% 48.80/31.82 tff(7207,plain,
% 48.80/31.82 (v90(constB58, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7206, 7185])).
% 48.80/31.82 tff(7208,plain,
% 48.80/31.82 ((~v1(constB59)) <=> (~v1(constB59))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7209,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 48.80/31.82 tff(7210,plain,
% 48.80/31.82 (~v1(constB59)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7209, 7208])).
% 48.80/31.82 tff(7211,plain,
% 48.80/31.82 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7212,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 48.80/31.82 tff(7213,plain,
% 48.80/31.82 (nextState(constB58, constB59)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 48.80/31.82 tff(7214,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7215,plain,
% 48.80/31.82 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7216,plain,
% 48.80/31.82 (((~![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))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7215])).
% 48.80/31.82 tff(7217,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7216, 7214])).
% 48.80/31.82 tff(7218,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7219,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 48.80/31.82 tff(7220,plain,
% 48.80/31.82 (~v101(constB59)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7219, 90, 7213, 7210])).
% 48.80/31.82 tff(7221,plain,
% 48.80/31.82 (((~![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)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7222,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7223,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7222, 7221])).
% 48.80/31.82 tff(7224,plain,
% 48.80/31.82 (v101(constB59) | (~v100(constB59))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7223, 107, 7213])).
% 48.80/31.82 tff(7225,plain,
% 48.80/31.82 (~v100(constB59)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7224, 7220])).
% 48.80/31.82 tff(7226,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7227,plain,
% 48.80/31.82 (((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)) <=> ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7228,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7227])).
% 48.80/31.82 tff(7229,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7228, 7226])).
% 48.80/31.82 tff(7230,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7231,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7230, 7229])).
% 48.80/31.82 tff(7232,plain,
% 48.80/31.82 ((~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7231, 1394, 7213])).
% 48.80/31.82 tff(7233,plain,
% 48.80/31.82 ((~v90(constB58, 2)) | v90(constB59, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7232, 7225])).
% 48.80/31.82 tff(7234,plain,
% 48.80/31.82 (v90(constB59, 2)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7233, 7207])).
% 48.80/31.82 tff(7235,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7236,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7237,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7236, 7235])).
% 48.80/31.82 tff(7238,plain,
% 48.80/31.82 (~v130(constB57, 1)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7237, 1636, 7111])).
% 48.80/31.82 tff(7239,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7240,plain,
% 48.80/31.82 ((v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1))) <=> ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7241,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7240])).
% 48.80/31.82 tff(7242,plain,
% 48.80/31.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7241, 7239])).
% 48.80/31.82 tff(7243,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7244,plain,
% 48.80/31.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 48.80/31.82 tff(7245,plain,
% 48.80/31.82 ((~v127(constB57, 1)) | v130(constB57, 1)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7244, 408, 7133])).
% 48.80/31.82 tff(7246,plain,
% 48.80/31.82 (~v127(constB57, 1)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7245, 7238])).
% 48.80/31.82 tff(7247,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7248,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7249,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7248, 7247])).
% 48.80/31.82 tff(7250,plain,
% 48.80/31.82 (v127(constB57, 1) | (~v129(constB58, 1))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7249, 438, 7151])).
% 48.80/31.82 tff(7251,plain,
% 48.80/31.82 (~v129(constB58, 1)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7250, 7246])).
% 48.80/31.82 tff(7252,plain,
% 48.80/31.82 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7253,plain,
% 48.80/31.82 (((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1)) <=> ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7254,plain,
% 48.80/31.82 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7253])).
% 48.80/31.82 tff(7255,plain,
% 48.80/31.82 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7254, 7252])).
% 48.80/31.82 tff(7256,plain,
% 48.80/31.82 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))),
% 48.80/31.82 inference(quant_inst,[status(thm)],[])).
% 48.80/31.82 tff(7257,plain,
% 48.80/31.82 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))),
% 48.80/31.82 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 48.80/31.82 tff(7258,plain,
% 48.80/31.82 ((~v90(constB58, 1)) | (~v100(constB58))),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7257, 453, 7251])).
% 48.80/31.82 tff(7259,plain,
% 48.80/31.82 (~v90(constB58, 1)),
% 48.80/31.82 inference(unit_resolution,[status(thm)],[7258, 7185])).
% 48.80/31.82 tff(7260,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7261,plain,
% 48.80/31.82 (((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))) <=> (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 48.80/31.82 inference(rewrite,[status(thm)],[])).
% 48.80/31.82 tff(7262,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))))),
% 48.80/31.82 inference(monotonicity,[status(thm)],[7261])).
% 48.80/31.82 tff(7263,plain,
% 48.80/31.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 48.80/31.82 inference(transitivity,[status(thm)],[7262, 7260])).
% 48.80/31.82 tff(7264,plain,
% 48.80/31.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7265,plain,
% 48.80/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 48.80/31.83 tff(7266,plain,
% 48.80/31.83 (v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7265, 143, 7213])).
% 48.80/31.83 tff(7267,plain,
% 48.80/31.83 (v90(constB58, 1) | (~v90(constB59, 1))),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7266, 7225])).
% 48.80/31.83 tff(7268,plain,
% 48.80/31.83 (~v90(constB59, 1)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7267, 7259])).
% 48.80/31.83 tff(7269,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB57)) | (~v90(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB57)) | (~v90(constB57, 2)))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7270,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB57)) | (~v90(constB57, 2)))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7271,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB57)) | (~v90(constB57, 2))),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 48.80/31.83 tff(7272,plain,
% 48.80/31.83 (~v120(constB57)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7271, 3158, 7039])).
% 48.80/31.83 tff(7273,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB57)) | v90(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB57)) | v90(constB57, 0))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7274,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB57)) | v90(constB57, 0))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7275,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB57)) | v90(constB57, 0)),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7274, 7273])).
% 48.80/31.83 tff(7276,plain,
% 48.80/31.83 (~v124(constB57)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7275, 3169, 7107])).
% 48.80/31.83 tff(7277,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB57)) | (~v90(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB57)) | (~v90(constB57, 2)))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7278,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB57)) | (~v90(constB57, 2)))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7279,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB57)) | (~v90(constB57, 2))),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 48.80/31.83 tff(7280,plain,
% 48.80/31.83 (~v122(constB57)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7279, 2039, 7039])).
% 48.80/31.83 tff(7281,assumption,(~v130(constB57, 0)), introduced(assumption)).
% 48.80/31.83 tff(7282,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB57)) | v130(constB57, 0))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7283,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB57)) | v130(constB57, 0))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7284,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB57)) | v130(constB57, 0)),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 48.80/31.83 tff(7285,plain,
% 48.80/31.83 (~v119(constB57)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7284, 501, 7281])).
% 48.80/31.83 tff(7286,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7287,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7288,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0)),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7287, 7286])).
% 48.80/31.83 tff(7289,plain,
% 48.80/31.83 (~v123(constB57)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7288, 1677, 7281])).
% 48.80/31.83 tff(7290,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB57)) | v130(constB57, 0))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7291,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB57)) | v130(constB57, 0))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7292,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB57)) | v130(constB57, 0)),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7291, 7290])).
% 48.80/31.83 tff(7293,plain,
% 48.80/31.83 (~v121(constB57)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7292, 1184, 7281])).
% 48.80/31.83 tff(7294,assumption,(~v120(constB57)), introduced(assumption)).
% 48.80/31.83 tff(7295,assumption,(~v122(constB57)), introduced(assumption)).
% 48.80/31.83 tff(7296,assumption,(~v124(constB57)), introduced(assumption)).
% 48.80/31.83 tff(7297,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7298,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7299,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0)),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 48.80/31.83 tff(7300,plain,
% 48.80/31.83 (v119(constB57) | v121(constB57) | v123(constB57) | v130(constB57, 0)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7299, 2200, 7296, 7295, 7294])).
% 48.80/31.83 tff(7301,plain,
% 48.80/31.83 ($false),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7300, 7293, 7289, 7281, 7285])).
% 48.80/31.83 tff(7302,plain,(v130(constB57, 0) | v124(constB57) | v122(constB57) | v120(constB57)), inference(lemma,lemma(discharge,[]))).
% 48.80/31.83 tff(7303,plain,
% 48.80/31.83 (v130(constB57, 0)),
% 48.80/31.83 inference(unit_resolution,[status(thm)],[7302, 7280, 7276, 7272])).
% 48.80/31.83 tff(7304,plain,
% 48.80/31.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 48.80/31.83 inference(rewrite,[status(thm)],[])).
% 48.80/31.83 tff(7305,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 48.80/31.83 inference(quant_inst,[status(thm)],[])).
% 48.80/31.83 tff(7306,plain,
% 48.80/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0)),
% 48.80/31.83 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 48.80/31.83 tff(7307,plain,
% 48.80/31.83 ((~v130(constB57, 0)) | v127(constB57, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7306, 515, 7133])).
% 48.91/31.83 tff(7308,plain,
% 48.91/31.83 (v127(constB57, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7307, 7303])).
% 48.91/31.83 tff(7309,plain,
% 48.91/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7310,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7311,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 48.91/31.83 tff(7312,plain,
% 48.91/31.83 ((~v127(constB57, 0)) | v129(constB58, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7311, 530, 7151])).
% 48.91/31.83 tff(7313,plain,
% 48.91/31.83 (v129(constB58, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7312, 7308])).
% 48.91/31.83 tff(7314,plain,
% 48.91/31.83 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7315,plain,
% 48.91/31.83 ((v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0))) <=> (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7316,plain,
% 48.91/31.83 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7315])).
% 48.91/31.83 tff(7317,plain,
% 48.91/31.83 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7316, 7314])).
% 48.91/31.83 tff(7318,plain,
% 48.91/31.83 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7319,plain,
% 48.91/31.83 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7318, 7317])).
% 48.91/31.83 tff(7320,plain,
% 48.91/31.83 (v90(constB58, 0) | (~v100(constB58))),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7319, 545, 7313])).
% 48.91/31.83 tff(7321,plain,
% 48.91/31.83 (v90(constB58, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7320, 7185])).
% 48.91/31.83 tff(7322,plain,
% 48.91/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7323,plain,
% 48.91/31.83 (((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)) <=> ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7324,plain,
% 48.91/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7323])).
% 48.91/31.83 tff(7325,plain,
% 48.91/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7324, 7322])).
% 48.91/31.83 tff(7326,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7327,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7326, 7325])).
% 48.91/31.83 tff(7328,plain,
% 48.91/31.83 ((~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7327, 563, 7213])).
% 48.91/31.83 tff(7329,plain,
% 48.91/31.83 ((~v90(constB58, 0)) | v90(constB59, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7328, 7225])).
% 48.91/31.83 tff(7330,plain,
% 48.91/31.83 (v90(constB59, 0)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7329, 7321])).
% 48.91/31.83 tff(7331,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7332,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7333,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7332, 7331])).
% 48.91/31.83 tff(7334,plain,
% 48.91/31.83 (v124(constB59)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7333, 1718, 7330, 7268, 7234])).
% 48.91/31.83 tff(7335,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7336,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7337,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7336, 7335])).
% 48.91/31.83 tff(7338,plain,
% 48.91/31.83 (v114(constB59)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7337, 1775, 7334])).
% 48.91/31.83 tff(7339,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7340,plain,
% 48.91/31.83 (((~v114(constB59)) | v113(constB59)) <=> (v113(constB59) | (~v114(constB59)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7341,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59))))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7340])).
% 48.91/31.83 tff(7342,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7341, 7339])).
% 48.91/31.83 tff(7343,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7344,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7343, 7342])).
% 48.91/31.83 tff(7345,plain,
% 48.91/31.83 (v113(constB59)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7344, 266, 7338])).
% 48.91/31.83 tff(7346,assumption,(v26(constB59)), introduced(assumption)).
% 48.91/31.83 tff(7347,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7348,plain,
% 48.91/31.83 ($false),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7347, 43, 7346])).
% 48.91/31.83 tff(7349,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.83 tff(7350,plain,
% 48.91/31.83 (((~![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) | (~v113(constB59)) | v112(constB59))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7351,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7352,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7351, 7350])).
% 48.91/31.83 tff(7353,plain,
% 48.91/31.83 ((~v113(constB59)) | v112(constB59)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7352, 280, 7349])).
% 48.91/31.83 tff(7354,plain,
% 48.91/31.83 (v112(constB59)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7353, 7345])).
% 48.91/31.83 tff(7355,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7356,plain,
% 48.91/31.83 (((~v112(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v112(constB59)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7357,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59))))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7356])).
% 48.91/31.83 tff(7358,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7357, 7355])).
% 48.91/31.83 tff(7359,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7360,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 48.91/31.83 tff(7361,plain,
% 48.91/31.83 (v108(constB59)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7360, 292, 7354])).
% 48.91/31.83 tff(7362,plain,
% 48.91/31.83 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7363,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 48.91/31.83 tff(7364,plain,
% 48.91/31.83 (nextState(constB59, constB60)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 48.91/31.83 tff(7365,plain,
% 48.91/31.83 (((~![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)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7366,plain,
% 48.91/31.83 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7367,plain,
% 48.91/31.83 (((~![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))))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7366])).
% 48.91/31.83 tff(7368,plain,
% 48.91/31.83 (((~![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)))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7367, 7365])).
% 48.91/31.83 tff(7369,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7370,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 48.91/31.83 tff(7371,plain,
% 48.91/31.83 (v110(constB60) | (~v108(constB59))),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7370, 312, 7364])).
% 48.91/31.83 tff(7372,plain,
% 48.91/31.83 (v110(constB60)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7371, 7361])).
% 48.91/31.83 tff(7373,plain,
% 48.91/31.83 (((~![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)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7374,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7375,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 48.91/31.83 tff(7376,plain,
% 48.91/31.83 (~v104(constB60)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7375, 330, 7364, 7210])).
% 48.91/31.83 tff(7377,plain,
% 48.91/31.83 (((~![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)) | v102(constB60) | v104(constB60))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7378,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7379,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 48.91/31.83 tff(7380,plain,
% 48.91/31.83 (v102(constB60) | v104(constB60)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7379, 344, 7364])).
% 48.91/31.83 tff(7381,plain,
% 48.91/31.83 (v102(constB60)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7380, 7376])).
% 48.91/31.83 tff(7382,plain,
% 48.91/31.83 (v1(constB60) <=> v1(constB60)),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7383,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 48.91/31.83 tff(7384,plain,
% 48.91/31.83 (v1(constB60)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7383, 7382])).
% 48.91/31.83 tff(7385,plain,
% 48.91/31.83 (((~![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)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7386,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7387,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 48.91/31.83 tff(7388,plain,
% 48.91/31.83 (v101(constB60) | (~v102(constB60))),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7387, 362, 7364, 7384])).
% 48.91/31.83 tff(7389,plain,
% 48.91/31.83 (v101(constB60)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7388, 7381])).
% 48.91/31.83 tff(7390,plain,
% 48.91/31.83 (((~![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)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7391,plain,
% 48.91/31.83 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7392,plain,
% 48.91/31.83 (((~![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))))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7391])).
% 48.91/31.83 tff(7393,plain,
% 48.91/31.83 (((~![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)))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7392, 7390])).
% 48.91/31.83 tff(7394,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7395,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 48.91/31.83 tff(7396,plain,
% 48.91/31.83 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7395, 377, 7364])).
% 48.91/31.83 tff(7397,plain,
% 48.91/31.83 (v100(constB60) | (~v110(constB60))),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7396, 7389])).
% 48.91/31.83 tff(7398,plain,
% 48.91/31.83 (v100(constB60)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7397, 7372])).
% 48.91/31.83 tff(7399,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7400,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7401,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7400, 7399])).
% 48.91/31.83 tff(7402,plain,
% 48.91/31.83 (v130(constB59, 2)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7401, 1729, 7334])).
% 48.91/31.83 tff(7403,plain,
% 48.91/31.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7404,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7405,plain,
% 48.91/31.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7404, 7403])).
% 48.91/31.83 tff(7406,plain,
% 48.91/31.83 ((~v130(constB59, 2)) | v127(constB59, 2)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7405, 1328, 7349])).
% 48.91/31.83 tff(7407,plain,
% 48.91/31.83 (v127(constB59, 2)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7406, 7402])).
% 48.91/31.83 tff(7408,plain,
% 48.91/31.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7409,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7410,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 48.91/31.83 tff(7411,plain,
% 48.91/31.83 ((~v127(constB59, 2)) | v129(constB60, 2)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7410, 1343, 7364])).
% 48.91/31.83 tff(7412,plain,
% 48.91/31.83 (v129(constB60, 2)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7411, 7407])).
% 48.91/31.83 tff(7413,plain,
% 48.91/31.83 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7414,plain,
% 48.91/31.83 ((v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2))) <=> (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7415,plain,
% 48.91/31.83 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7414])).
% 48.91/31.83 tff(7416,plain,
% 48.91/31.83 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7415, 7413])).
% 48.91/31.83 tff(7417,plain,
% 48.91/31.83 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7418,plain,
% 48.91/31.83 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 48.91/31.83 tff(7419,plain,
% 48.91/31.83 (v90(constB60, 2) | (~v100(constB60))),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7418, 1358, 7412])).
% 48.91/31.83 tff(7420,plain,
% 48.91/31.83 (v90(constB60, 2)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7419, 7398])).
% 48.91/31.83 tff(7421,plain,
% 48.91/31.83 ((~v1(constB61)) <=> (~v1(constB61))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7422,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 48.91/31.83 tff(7423,plain,
% 48.91/31.83 (~v1(constB61)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 48.91/31.83 tff(7424,plain,
% 48.91/31.83 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7425,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 48.91/31.83 tff(7426,plain,
% 48.91/31.83 (nextState(constB60, constB61)),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 48.91/31.83 tff(7427,plain,
% 48.91/31.83 (((~![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)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7428,plain,
% 48.91/31.83 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 48.91/31.83 inference(rewrite,[status(thm)],[])).
% 48.91/31.83 tff(7429,plain,
% 48.91/31.83 (((~![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))))),
% 48.91/31.83 inference(monotonicity,[status(thm)],[7428])).
% 48.91/31.83 tff(7430,plain,
% 48.91/31.83 (((~![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)))),
% 48.91/31.83 inference(transitivity,[status(thm)],[7429, 7427])).
% 48.91/31.83 tff(7431,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 48.91/31.83 inference(quant_inst,[status(thm)],[])).
% 48.91/31.83 tff(7432,plain,
% 48.91/31.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 48.91/31.83 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 48.91/31.83 tff(7433,plain,
% 48.91/31.83 (~v101(constB61)),
% 48.91/31.83 inference(unit_resolution,[status(thm)],[7432, 90, 7426, 7423])).
% 48.91/31.84 tff(7434,plain,
% 48.91/31.84 (((~![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)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7435,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7436,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7435, 7434])).
% 48.91/31.84 tff(7437,plain,
% 48.91/31.84 (v101(constB61) | (~v100(constB61))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7436, 107, 7426])).
% 48.91/31.84 tff(7438,plain,
% 48.91/31.84 (~v100(constB61)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7437, 7433])).
% 48.91/31.84 tff(7439,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7440,plain,
% 48.91/31.84 (((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)) <=> ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7441,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7440])).
% 48.91/31.84 tff(7442,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7441, 7439])).
% 48.91/31.84 tff(7443,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7444,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 48.91/31.84 tff(7445,plain,
% 48.91/31.84 ((~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7444, 1394, 7426])).
% 48.91/31.84 tff(7446,plain,
% 48.91/31.84 ((~v90(constB60, 2)) | v90(constB61, 2)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7445, 7438])).
% 48.91/31.84 tff(7447,plain,
% 48.91/31.84 (v90(constB61, 2)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7446, 7420])).
% 48.91/31.84 tff(7448,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7449,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7450,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 48.91/31.84 tff(7451,plain,
% 48.91/31.84 (~v121(constB61)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7450, 2028, 7447])).
% 48.91/31.84 tff(7452,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7453,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7454,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 48.91/31.84 tff(7455,plain,
% 48.91/31.84 (~v122(constB61)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7454, 2039, 7447])).
% 48.91/31.84 tff(7456,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7457,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7458,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7457, 7456])).
% 48.91/31.84 tff(7459,plain,
% 48.91/31.84 (v130(constB59, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7458, 1871, 7334])).
% 48.91/31.84 tff(7460,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7461,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7462,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7461, 7460])).
% 48.91/31.84 tff(7463,plain,
% 48.91/31.84 ((~v130(constB59, 1)) | v127(constB59, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7462, 852, 7349])).
% 48.91/31.84 tff(7464,plain,
% 48.91/31.84 (v127(constB59, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7463, 7459])).
% 48.91/31.84 tff(7465,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7466,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7467,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 48.91/31.84 tff(7468,plain,
% 48.91/31.84 ((~v127(constB59, 1)) | v129(constB60, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7467, 867, 7364])).
% 48.91/31.84 tff(7469,plain,
% 48.91/31.84 (v129(constB60, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7468, 7464])).
% 48.91/31.84 tff(7470,plain,
% 48.91/31.84 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7471,plain,
% 48.91/31.84 ((v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1))) <=> (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7472,plain,
% 48.91/31.84 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7471])).
% 48.91/31.84 tff(7473,plain,
% 48.91/31.84 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7472, 7470])).
% 48.91/31.84 tff(7474,plain,
% 48.91/31.84 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7475,plain,
% 48.91/31.84 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 48.91/31.84 tff(7476,plain,
% 48.91/31.84 (v90(constB60, 1) | (~v100(constB60))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7475, 882, 7469])).
% 48.91/31.84 tff(7477,plain,
% 48.91/31.84 (v90(constB60, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7476, 7398])).
% 48.91/31.84 tff(7478,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7479,plain,
% 48.91/31.84 (((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)) <=> ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7480,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7479])).
% 48.91/31.84 tff(7481,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7480, 7478])).
% 48.91/31.84 tff(7482,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7483,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 48.91/31.84 tff(7484,plain,
% 48.91/31.84 ((~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7483, 900, 7426])).
% 48.91/31.84 tff(7485,plain,
% 48.91/31.84 ((~v90(constB60, 1)) | v90(constB61, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7484, 7438])).
% 48.91/31.84 tff(7486,plain,
% 48.91/31.84 (v90(constB61, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7485, 7477])).
% 48.91/31.84 tff(7487,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7488,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7489,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7488, 7487])).
% 48.91/31.84 tff(7490,plain,
% 48.91/31.84 (~v119(constB61)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7489, 2050, 7486])).
% 48.91/31.84 tff(7491,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7492,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7493,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 48.91/31.84 tff(7494,plain,
% 48.91/31.84 (~v123(constB61)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7493, 2072, 7486])).
% 48.91/31.84 tff(7495,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7496,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7497,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 48.91/31.84 tff(7498,plain,
% 48.91/31.84 (~v124(constB61)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7497, 2083, 7486])).
% 48.91/31.84 tff(7499,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7500,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7501,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 48.91/31.84 tff(7502,plain,
% 48.91/31.84 (~v120(constB61)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7501, 2061, 7486])).
% 48.91/31.84 tff(7503,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7504,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7505,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 48.91/31.84 tff(7506,plain,
% 48.91/31.84 (~v130(constB61, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7505, 2156, 7502, 7498, 7494, 7490, 7455, 7451])).
% 48.91/31.84 tff(7507,assumption,(v26(constB61)), introduced(assumption)).
% 48.91/31.84 tff(7508,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7509,plain,
% 48.91/31.84 ($false),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7508, 43, 7507])).
% 48.91/31.84 tff(7510,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.84 tff(7511,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7512,plain,
% 48.91/31.84 ((v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1))) <=> ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7513,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7512])).
% 48.91/31.84 tff(7514,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7513, 7511])).
% 48.91/31.84 tff(7515,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7516,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 48.91/31.84 tff(7517,plain,
% 48.91/31.84 ((~v127(constB61, 1)) | v130(constB61, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7516, 408, 7510])).
% 48.91/31.84 tff(7518,plain,
% 48.91/31.84 (~v127(constB61, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7517, 7506])).
% 48.91/31.84 tff(7519,plain,
% 48.91/31.84 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7520,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 48.91/31.84 tff(7521,plain,
% 48.91/31.84 (nextState(constB61, constB62)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 48.91/31.84 tff(7522,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7523,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7524,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 48.91/31.84 tff(7525,plain,
% 48.91/31.84 (v127(constB61, 1) | (~v129(constB62, 1))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7524, 438, 7521])).
% 48.91/31.84 tff(7526,plain,
% 48.91/31.84 (~v129(constB62, 1)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7525, 7518])).
% 48.91/31.84 tff(7527,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7528,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7529,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7528, 7527])).
% 48.91/31.84 tff(7530,plain,
% 48.91/31.84 (~v130(constB59, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7529, 1909, 7334])).
% 48.91/31.84 tff(7531,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7532,plain,
% 48.91/31.84 ((v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0))) <=> ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7533,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7532])).
% 48.91/31.84 tff(7534,plain,
% 48.91/31.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7533, 7531])).
% 48.91/31.84 tff(7535,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7536,plain,
% 48.91/31.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 48.91/31.84 tff(7537,plain,
% 48.91/31.84 ((~v127(constB59, 0)) | v130(constB59, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7536, 930, 7349])).
% 48.91/31.84 tff(7538,plain,
% 48.91/31.84 (~v127(constB59, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7537, 7530])).
% 48.91/31.84 tff(7539,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7540,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7541,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7540, 7539])).
% 48.91/31.84 tff(7542,plain,
% 48.91/31.84 (v127(constB59, 0) | (~v129(constB60, 0))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7541, 948, 7364])).
% 48.91/31.84 tff(7543,plain,
% 48.91/31.84 (~v129(constB60, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7542, 7538])).
% 48.91/31.84 tff(7544,plain,
% 48.91/31.84 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7545,plain,
% 48.91/31.84 (((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0)) <=> ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7546,plain,
% 48.91/31.84 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7545])).
% 48.91/31.84 tff(7547,plain,
% 48.91/31.84 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7546, 7544])).
% 48.91/31.84 tff(7548,plain,
% 48.91/31.84 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7549,plain,
% 48.91/31.84 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 48.91/31.84 tff(7550,plain,
% 48.91/31.84 ((~v90(constB60, 0)) | (~v100(constB60))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7549, 963, 7543])).
% 48.91/31.84 tff(7551,plain,
% 48.91/31.84 (~v90(constB60, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7550, 7398])).
% 48.91/31.84 tff(7552,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7553,plain,
% 48.91/31.84 (((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))) <=> (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7554,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7553])).
% 48.91/31.84 tff(7555,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7554, 7552])).
% 48.91/31.84 tff(7556,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7557,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7556, 7555])).
% 48.91/31.84 tff(7558,plain,
% 48.91/31.84 (v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7557, 164, 7426])).
% 48.91/31.84 tff(7559,plain,
% 48.91/31.84 (v90(constB60, 0) | (~v90(constB61, 0))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7558, 7438])).
% 48.91/31.84 tff(7560,plain,
% 48.91/31.84 (~v90(constB61, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7559, 7551])).
% 48.91/31.84 tff(7561,assumption,(~v90(constB61, 0)), introduced(assumption)).
% 48.91/31.84 tff(7562,assumption,(~v100(constB62)), introduced(assumption)).
% 48.91/31.84 tff(7563,assumption,(~v90(constB62, 0)), introduced(assumption)).
% 48.91/31.84 tff(7564,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7565,plain,
% 48.91/31.84 (((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0)) <=> ((~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7566,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0)))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7565])).
% 48.91/31.84 tff(7567,plain,
% 48.91/31.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7566, 7564])).
% 48.91/31.84 tff(7568,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7569,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 48.91/31.84 tff(7570,plain,
% 48.91/31.84 ((~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7569, 563, 7521])).
% 48.91/31.84 tff(7571,plain,
% 48.91/31.84 (~v90(constB61, 0)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7570, 7563, 7562])).
% 48.91/31.84 tff(7572,plain,
% 48.91/31.84 (((~![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)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7573,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7574,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 48.91/31.84 tff(7575,plain,
% 48.91/31.84 (~v104(constB62)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7574, 330, 7521, 7423])).
% 48.91/31.84 tff(7576,plain,
% 48.91/31.84 (((~![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)) | v102(constB62) | v104(constB62))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7577,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7578,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 48.91/31.84 tff(7579,plain,
% 48.91/31.84 (v102(constB62) | v104(constB62)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7578, 344, 7521])).
% 48.91/31.84 tff(7580,plain,
% 48.91/31.84 (v102(constB62)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7579, 7575])).
% 48.91/31.84 tff(7581,plain,
% 48.91/31.84 (v1(constB62) <=> v1(constB62)),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7582,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 48.91/31.84 tff(7583,plain,
% 48.91/31.84 (v1(constB62)),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7582, 7581])).
% 48.91/31.84 tff(7584,plain,
% 48.91/31.84 (((~![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)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7585,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7586,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 48.91/31.84 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 48.91/31.84 tff(7587,plain,
% 48.91/31.84 (v101(constB62) | (~v102(constB62))),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7586, 362, 7521, 7583])).
% 48.91/31.84 tff(7588,plain,
% 48.91/31.84 (v101(constB62)),
% 48.91/31.84 inference(unit_resolution,[status(thm)],[7587, 7580])).
% 48.91/31.84 tff(7589,plain,
% 48.91/31.84 (((~![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)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7590,plain,
% 48.91/31.84 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 48.91/31.84 inference(rewrite,[status(thm)],[])).
% 48.91/31.84 tff(7591,plain,
% 48.91/31.84 (((~![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))))),
% 48.91/31.84 inference(monotonicity,[status(thm)],[7590])).
% 48.91/31.84 tff(7592,plain,
% 48.91/31.84 (((~![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)))),
% 48.91/31.84 inference(transitivity,[status(thm)],[7591, 7589])).
% 48.91/31.84 tff(7593,plain,
% 48.91/31.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 48.91/31.84 inference(quant_inst,[status(thm)],[])).
% 48.91/31.84 tff(7594,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7593, 7592])).
% 48.91/31.85 tff(7595,plain,
% 48.91/31.85 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7594, 377, 7521])).
% 48.91/31.85 tff(7596,plain,
% 48.91/31.85 (v100(constB62) | (~v110(constB62))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7595, 7588])).
% 48.91/31.85 tff(7597,plain,
% 48.91/31.85 (~v110(constB62)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7596, 7562])).
% 48.91/31.85 tff(7598,plain,
% 48.91/31.85 (((~![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)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7599,plain,
% 48.91/31.85 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7600,plain,
% 48.91/31.85 (((~![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))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7599])).
% 48.91/31.85 tff(7601,plain,
% 48.91/31.85 (((~![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)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7600, 7598])).
% 48.91/31.85 tff(7602,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7603,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7602, 7601])).
% 48.91/31.85 tff(7604,plain,
% 48.91/31.85 (v110(constB62) | (~v108(constB61))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7603, 312, 7521])).
% 48.91/31.85 tff(7605,plain,
% 48.91/31.85 (~v108(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7604, 7597])).
% 48.91/31.85 tff(7606,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7607,plain,
% 48.91/31.85 (((~v112(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v112(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7608,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7607])).
% 48.91/31.85 tff(7609,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7608, 7606])).
% 48.91/31.85 tff(7610,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7611,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7610, 7609])).
% 48.91/31.85 tff(7612,plain,
% 48.91/31.85 (~v112(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7611, 292, 7605])).
% 48.91/31.85 tff(7613,plain,
% 48.91/31.85 (((~![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)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7614,plain,
% 48.91/31.85 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7615,plain,
% 48.91/31.85 (((~![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))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7614])).
% 48.91/31.85 tff(7616,plain,
% 48.91/31.85 (((~![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)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7615, 7613])).
% 48.91/31.85 tff(7617,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7618,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7617, 7616])).
% 48.91/31.85 tff(7619,plain,
% 48.91/31.85 (v112(constB61) | (~v113(constB61))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7618, 280, 7510])).
% 48.91/31.85 tff(7620,plain,
% 48.91/31.85 (~v113(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7619, 7612])).
% 48.91/31.85 tff(7621,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7622,plain,
% 48.91/31.85 (((~v114(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v114(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7623,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7622])).
% 48.91/31.85 tff(7624,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7623, 7621])).
% 48.91/31.85 tff(7625,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7626,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 48.91/31.85 tff(7627,plain,
% 48.91/31.85 (~v114(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7626, 266, 7620])).
% 48.91/31.85 tff(7628,assumption,(~v90(constB62, 1)), introduced(assumption)).
% 48.91/31.85 tff(7629,assumption,(~v90(constB62, 2)), introduced(assumption)).
% 48.91/31.85 tff(7630,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v26(constB61)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v26(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7631,plain,
% 48.91/31.85 (((~v26(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v26(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7632,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v26(constB61))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7631])).
% 48.91/31.85 tff(7633,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v26(constB61)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7632, 7630])).
% 48.91/31.85 tff(7634,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB61)) | v108(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7635,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v26(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7634, 7633])).
% 48.91/31.85 tff(7636,plain,
% 48.91/31.85 (~v26(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7635, 1761, 7605])).
% 48.91/31.85 tff(7637,plain,
% 48.91/31.85 (~v113(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7618, 280, 7636, 7612])).
% 48.91/31.85 tff(7638,plain,
% 48.91/31.85 (~v114(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7626, 266, 7637])).
% 48.91/31.85 tff(7639,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB61) | (~v115(constB61)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7640,plain,
% 48.91/31.85 (((~v115(constB61)) | v114(constB61)) <=> (v114(constB61) | (~v115(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7641,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB61) | (~v115(constB61))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7640])).
% 48.91/31.85 tff(7642,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7641, 7639])).
% 48.91/31.85 tff(7643,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7644,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB61) | (~v115(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 48.91/31.85 tff(7645,plain,
% 48.91/31.85 (~v115(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7644, 252, 7638])).
% 48.91/31.85 tff(7646,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7647,plain,
% 48.91/31.85 (((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2)) <=> ((~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7648,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2)))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7647])).
% 48.91/31.85 tff(7649,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7648, 7646])).
% 48.91/31.85 tff(7650,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7651,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 48.91/31.85 tff(7652,plain,
% 48.91/31.85 ((~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7651, 1394, 7521])).
% 48.91/31.85 tff(7653,plain,
% 48.91/31.85 (~v90(constB61, 2)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7652, 7562, 7629])).
% 48.91/31.85 tff(7654,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7655,plain,
% 48.91/31.85 (((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1)) <=> ((~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7656,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1)))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7655])).
% 48.91/31.85 tff(7657,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7656, 7654])).
% 48.91/31.85 tff(7658,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7659,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 48.91/31.85 tff(7660,plain,
% 48.91/31.85 ((~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7659, 900, 7521])).
% 48.91/31.85 tff(7661,plain,
% 48.91/31.85 (~v90(constB61, 1)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7660, 7562, 7628])).
% 48.91/31.85 tff(7662,plain,
% 48.91/31.85 (~v90(constB61, 0)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7570, 7562, 7563])).
% 48.91/31.85 tff(7663,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7664,plain,
% 48.91/31.85 ((v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2)) <=> (v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7665,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61)))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7664])).
% 48.91/31.85 tff(7666,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7665, 7663])).
% 48.91/31.85 tff(7667,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7668,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7667, 7666])).
% 48.91/31.85 tff(7669,plain,
% 48.91/31.85 (v119(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7668, 185, 7662, 7661, 7653])).
% 48.91/31.85 tff(7670,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB61) | (~v119(constB61)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB61) | (~v119(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7671,plain,
% 48.91/31.85 (((~v119(constB61)) | v118(constB61)) <=> (v118(constB61) | (~v119(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7672,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB61)) | v118(constB61))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB61) | (~v119(constB61))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7671])).
% 48.91/31.85 tff(7673,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB61)) | v118(constB61))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB61) | (~v119(constB61)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7672, 7670])).
% 48.91/31.85 tff(7674,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB61)) | v118(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7675,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB61) | (~v119(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 48.91/31.85 tff(7676,plain,
% 48.91/31.85 (v118(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7675, 199, 7669])).
% 48.91/31.85 tff(7677,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB61) | (~v118(constB61)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB61) | (~v118(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7678,plain,
% 48.91/31.85 (((~v118(constB61)) | v117(constB61)) <=> (v117(constB61) | (~v118(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7679,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB61)) | v117(constB61))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB61) | (~v118(constB61))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7678])).
% 48.91/31.85 tff(7680,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB61)) | v117(constB61))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB61) | (~v118(constB61)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7679, 7677])).
% 48.91/31.85 tff(7681,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB61)) | v117(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7682,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB61) | (~v118(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 48.91/31.85 tff(7683,plain,
% 48.91/31.85 (v117(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7682, 210, 7676])).
% 48.91/31.85 tff(7684,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB61)) | v116(constB61))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB61)) | v116(constB61))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7685,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB61)) | v116(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7686,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB61)) | v116(constB61)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 48.91/31.85 tff(7687,plain,
% 48.91/31.85 (v116(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7686, 224, 7683])).
% 48.91/31.85 tff(7688,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB61) | (~v116(constB61)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v116(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7689,plain,
% 48.91/31.85 (((~v116(constB61)) | v115(constB61)) <=> (v115(constB61) | (~v116(constB61)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7690,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB61) | (~v116(constB61))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7689])).
% 48.91/31.85 tff(7691,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v116(constB61)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7690, 7688])).
% 48.91/31.85 tff(7692,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7693,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v116(constB61))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 48.91/31.85 tff(7694,plain,
% 48.91/31.85 ($false),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7693, 238, 7687, 7645])).
% 48.91/31.85 tff(7695,plain,(v100(constB62) | v90(constB62, 2) | v90(constB62, 0) | v90(constB62, 1)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.85 tff(7696,plain,
% 48.91/31.85 (v100(constB62)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7695, 7629, 7563, 7628])).
% 48.91/31.85 tff(7697,plain,
% 48.91/31.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7698,plain,
% 48.91/31.85 ((v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1))) <=> (v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7699,plain,
% 48.91/31.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7698])).
% 48.91/31.85 tff(7700,plain,
% 48.91/31.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7699, 7697])).
% 48.91/31.85 tff(7701,plain,
% 48.91/31.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1)))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7702,plain,
% 48.91/31.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7701, 7700])).
% 48.91/31.85 tff(7703,plain,
% 48.91/31.85 ((~v129(constB62, 1)) | (~v100(constB62))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7702, 882, 7628])).
% 48.91/31.85 tff(7704,plain,
% 48.91/31.85 (~v129(constB62, 1)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7703, 7696])).
% 48.91/31.85 tff(7705,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7706,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7707,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7706, 7705])).
% 48.91/31.85 tff(7708,plain,
% 48.91/31.85 ((~v127(constB61, 1)) | v129(constB62, 1)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7707, 867, 7521])).
% 48.91/31.85 tff(7709,plain,
% 48.91/31.85 (~v127(constB61, 1)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7708, 7704])).
% 48.91/31.85 tff(7710,plain,
% 48.91/31.85 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7711,plain,
% 48.91/31.85 ((v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0))) <=> (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7712,plain,
% 48.91/31.85 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))))),
% 48.91/31.85 inference(monotonicity,[status(thm)],[7711])).
% 48.91/31.85 tff(7713,plain,
% 48.91/31.85 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 48.91/31.85 inference(transitivity,[status(thm)],[7712, 7710])).
% 48.91/31.85 tff(7714,plain,
% 48.91/31.85 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7715,plain,
% 48.91/31.85 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7714, 7713])).
% 48.91/31.85 tff(7716,plain,
% 48.91/31.85 ((~v129(constB62, 0)) | (~v100(constB62))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7715, 545, 7563])).
% 48.91/31.85 tff(7717,plain,
% 48.91/31.85 (~v129(constB62, 0)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7716, 7696])).
% 48.91/31.85 tff(7718,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7719,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7720,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 48.91/31.85 tff(7721,plain,
% 48.91/31.85 ((~v127(constB61, 0)) | v129(constB62, 0)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7720, 530, 7521])).
% 48.91/31.85 tff(7722,plain,
% 48.91/31.85 (~v127(constB61, 0)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7721, 7717])).
% 48.91/31.85 tff(7723,assumption,(~v26(constB61)), introduced(assumption)).
% 48.91/31.85 tff(7724,assumption,(~v127(constB61, 0)), introduced(assumption)).
% 48.91/31.85 tff(7725,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7726,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7727,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7726, 7725])).
% 48.91/31.85 tff(7728,plain,
% 48.91/31.85 (v26(constB61) | (~v130(constB61, 0))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7727, 515, 7724])).
% 48.91/31.85 tff(7729,plain,
% 48.91/31.85 (~v130(constB61, 0)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7728, 7723])).
% 48.91/31.85 tff(7730,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB61)) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB61)) | v130(constB61, 0))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7731,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB61)) | v130(constB61, 0))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7732,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB61)) | v130(constB61, 0)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7731, 7730])).
% 48.91/31.85 tff(7733,plain,
% 48.91/31.85 (~v123(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7732, 1677, 7729])).
% 48.91/31.85 tff(7734,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB61)) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB61)) | v130(constB61, 0))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7735,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB61)) | v130(constB61, 0))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7736,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB61)) | v130(constB61, 0)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7735, 7734])).
% 48.91/31.85 tff(7737,plain,
% 48.91/31.85 (~v119(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7736, 501, 7729])).
% 48.91/31.85 tff(7738,assumption,(~v127(constB61, 2)), introduced(assumption)).
% 48.91/31.85 tff(7739,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7740,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7741,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7740, 7739])).
% 48.91/31.85 tff(7742,plain,
% 48.91/31.85 (v26(constB61) | (~v130(constB61, 2))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7741, 1328, 7738])).
% 48.91/31.85 tff(7743,plain,
% 48.91/31.85 (~v130(constB61, 2)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7742, 7723])).
% 48.91/31.85 tff(7744,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB61)) | v130(constB61, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB61)) | v130(constB61, 2))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7745,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB61)) | v130(constB61, 2))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7746,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB61)) | v130(constB61, 2)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 48.91/31.85 tff(7747,plain,
% 48.91/31.85 (~v122(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7746, 1314, 7743])).
% 48.91/31.85 tff(7748,assumption,(~v127(constB61, 1)), introduced(assumption)).
% 48.91/31.85 tff(7749,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7750,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7751,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7750, 7749])).
% 48.91/31.85 tff(7752,plain,
% 48.91/31.85 (v26(constB61) | (~v130(constB61, 1))),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7751, 852, 7748])).
% 48.91/31.85 tff(7753,plain,
% 48.91/31.85 (~v130(constB61, 1)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7752, 7723])).
% 48.91/31.85 tff(7754,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB61)) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB61)) | v130(constB61, 1))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7755,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB61)) | v130(constB61, 1))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7756,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB61)) | v130(constB61, 1)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7755, 7754])).
% 48.91/31.85 tff(7757,plain,
% 48.91/31.85 (~v120(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7756, 838, 7753])).
% 48.91/31.85 tff(7758,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB61)) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB61)) | v130(constB61, 1))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7759,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB61)) | v130(constB61, 1))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7760,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB61)) | v130(constB61, 1)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7759, 7758])).
% 48.91/31.85 tff(7761,plain,
% 48.91/31.85 (~v121(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7760, 1146, 7753])).
% 48.91/31.85 tff(7762,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB61)) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB61)) | v130(constB61, 1))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7763,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB61)) | v130(constB61, 1))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7764,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB61)) | v130(constB61, 1)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 48.91/31.85 tff(7765,plain,
% 48.91/31.85 (~v124(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7764, 1871, 7753])).
% 48.91/31.85 tff(7766,plain,
% 48.91/31.85 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7767,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7768,plain,
% 48.91/31.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0)),
% 48.91/31.85 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 48.91/31.85 tff(7769,plain,
% 48.91/31.85 (v119(constB61) | v122(constB61) | v123(constB61)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7768, 2200, 7729, 7765, 7761, 7757])).
% 48.91/31.85 tff(7770,plain,
% 48.91/31.85 ($false),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7769, 7747, 7737, 7733])).
% 48.91/31.85 tff(7771,plain,(v26(constB61) | v127(constB61, 2) | v127(constB61, 0) | v127(constB61, 1)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.85 tff(7772,plain,
% 48.91/31.85 (v127(constB61, 2)),
% 48.91/31.85 inference(unit_resolution,[status(thm)],[7771, 7722, 7510, 7709])).
% 48.91/31.85 tff(7773,plain,
% 48.91/31.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2))),
% 48.91/31.85 inference(rewrite,[status(thm)],[])).
% 48.91/31.85 tff(7774,plain,
% 48.91/31.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2))),
% 48.91/31.85 inference(quant_inst,[status(thm)],[])).
% 48.91/31.85 tff(7775,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7774, 7773])).
% 48.91/31.86 tff(7776,plain,
% 48.91/31.86 ((~v127(constB61, 2)) | v129(constB62, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7775, 1343, 7521])).
% 48.91/31.86 tff(7777,plain,
% 48.91/31.86 (v129(constB62, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7776, 7772])).
% 48.91/31.86 tff(7778,plain,
% 48.91/31.86 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7779,plain,
% 48.91/31.86 ((v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2))) <=> (v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7780,plain,
% 48.91/31.86 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7779])).
% 48.91/31.86 tff(7781,plain,
% 48.91/31.86 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7780, 7778])).
% 48.91/31.86 tff(7782,plain,
% 48.91/31.86 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7783,plain,
% 48.91/31.86 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 48.91/31.86 tff(7784,plain,
% 48.91/31.86 ($false),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7783, 1358, 7696, 7629, 7777])).
% 48.91/31.86 tff(7785,plain,(v90(constB62, 2) | v90(constB62, 0) | v90(constB62, 1)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.86 tff(7786,plain,
% 48.91/31.86 (v90(constB62, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7785, 7563, 7628])).
% 48.91/31.86 tff(7787,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB61, 2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB61, 2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 2)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7788,plain,
% 48.91/31.86 (((~nextState(constB61, constB62)) | v90(constB61, 2) | v100(constB62) | (~v90(constB62, 2))) <=> (v90(constB61, 2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 2)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7789,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v90(constB61, 2) | v100(constB62) | (~v90(constB62, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB61, 2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 2))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7788])).
% 48.91/31.86 tff(7790,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v90(constB61, 2) | v100(constB62) | (~v90(constB62, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB61, 2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 2)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7789, 7787])).
% 48.91/31.86 tff(7791,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v90(constB61, 2) | v100(constB62) | (~v90(constB62, 2)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7792,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB61, 2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 2))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7791, 7790])).
% 48.91/31.86 tff(7793,plain,
% 48.91/31.86 (v90(constB61, 2) | v100(constB62) | (~v90(constB62, 2))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7792, 122, 7521])).
% 48.91/31.86 tff(7794,plain,
% 48.91/31.86 (v90(constB61, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7793, 7562, 7786])).
% 48.91/31.86 tff(7795,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB61, 0) | v90(constB61, 1) | (~v90(constB61, 2)) | v123(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB61, 0) | v90(constB61, 1) | (~v90(constB61, 2)) | v123(constB61))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7796,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB61, 0) | v90(constB61, 1) | (~v90(constB61, 2)) | v123(constB61))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7797,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB61, 0) | v90(constB61, 1) | (~v90(constB61, 2)) | v123(constB61)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7796, 7795])).
% 48.91/31.86 tff(7798,plain,
% 48.91/31.86 (v123(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7797, 1495, 7662, 7661, 7794])).
% 48.91/31.86 tff(7799,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB61) | (~v123(constB61)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v123(constB61)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7800,plain,
% 48.91/31.86 (((~v123(constB61)) | v115(constB61)) <=> (v115(constB61) | (~v123(constB61)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7801,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB61) | (~v123(constB61))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7800])).
% 48.91/31.86 tff(7802,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v123(constB61)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7801, 7799])).
% 48.91/31.86 tff(7803,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB61)) | v115(constB61))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7804,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v123(constB61))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 48.91/31.86 tff(7805,plain,
% 48.91/31.86 (v115(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7804, 1506, 7798])).
% 48.91/31.86 tff(7806,plain,
% 48.91/31.86 ($false),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7644, 252, 7805, 7627])).
% 48.91/31.86 tff(7807,plain,(v100(constB62) | v90(constB62, 0) | v90(constB62, 1)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.86 tff(7808,plain,
% 48.91/31.86 (v90(constB62, 1)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7807, 7563, 7562])).
% 48.91/31.86 tff(7809,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB61, 1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB61, 1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 1)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7810,plain,
% 48.91/31.86 (((~nextState(constB61, constB62)) | v90(constB61, 1) | v100(constB62) | (~v90(constB62, 1))) <=> (v90(constB61, 1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 1)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7811,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v90(constB61, 1) | v100(constB62) | (~v90(constB62, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB61, 1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 1))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7810])).
% 48.91/31.86 tff(7812,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v90(constB61, 1) | v100(constB62) | (~v90(constB62, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB61, 1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 1)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7811, 7809])).
% 48.91/31.86 tff(7813,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v90(constB61, 1) | v100(constB62) | (~v90(constB62, 1)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7814,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB61, 1) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 1))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7813, 7812])).
% 48.91/31.86 tff(7815,plain,
% 48.91/31.86 (v90(constB61, 1) | v100(constB62) | (~v90(constB62, 1))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7814, 143, 7521])).
% 48.91/31.86 tff(7816,plain,
% 48.91/31.86 (v90(constB61, 1)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7815, 7808, 7562])).
% 48.91/31.86 tff(7817,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7818,plain,
% 48.91/31.86 (((~v125(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v125(constB61)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7819,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7818])).
% 48.91/31.86 tff(7820,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7819, 7817])).
% 48.91/31.86 tff(7821,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7822,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7821, 7820])).
% 48.91/31.86 tff(7823,plain,
% 48.91/31.86 (~v125(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7822, 1964, 7620])).
% 48.91/31.86 tff(7824,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7825,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7826,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 48.91/31.86 tff(7827,plain,
% 48.91/31.86 (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7826, 1953, 7823])).
% 48.91/31.86 tff(7828,plain,
% 48.91/31.86 (~v90(constB61, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7827, 7816, 7571])).
% 48.91/31.86 tff(7829,plain,
% 48.91/31.86 (~v115(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7644, 252, 7627])).
% 48.91/31.86 tff(7830,plain,
% 48.91/31.86 (~v116(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7693, 238, 7829])).
% 48.91/31.86 tff(7831,plain,
% 48.91/31.86 (~v117(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7686, 224, 7830])).
% 48.91/31.86 tff(7832,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB61)) | v117(constB61))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB61)) | v117(constB61))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7833,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB61)) | v117(constB61))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7834,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB61)) | v117(constB61)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 48.91/31.86 tff(7835,plain,
% 48.91/31.86 (~v121(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7834, 1001, 7831])).
% 48.91/31.86 tff(7836,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | v90(constB61, 2) | v121(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | v90(constB61, 2) | v121(constB61))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7837,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | v90(constB61, 2) | v121(constB61))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7838,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | v90(constB61, 2) | v121(constB61)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7837, 7836])).
% 48.91/31.86 tff(7839,plain,
% 48.91/31.86 (v90(constB61, 0) | (~v90(constB61, 1)) | v90(constB61, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7838, 990, 7835])).
% 48.91/31.86 tff(7840,plain,
% 48.91/31.86 ($false),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7839, 7828, 7816, 7571])).
% 48.91/31.86 tff(7841,plain,(v90(constB62, 0) | v100(constB62)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.86 tff(7842,plain,
% 48.91/31.86 (v90(constB62, 0)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7841, 7562])).
% 48.91/31.86 tff(7843,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB61, 0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB61, 0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 0)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7844,plain,
% 48.91/31.86 (((~nextState(constB61, constB62)) | v90(constB61, 0) | v100(constB62) | (~v90(constB62, 0))) <=> (v90(constB61, 0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 0)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7845,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB61, constB62)) | v90(constB61, 0) | v100(constB62) | (~v90(constB62, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB61, 0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 0))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7844])).
% 48.91/31.86 tff(7846,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB61, constB62)) | v90(constB61, 0) | v100(constB62) | (~v90(constB62, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB61, 0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 0)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7845, 7843])).
% 48.91/31.86 tff(7847,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB61, constB62)) | v90(constB61, 0) | v100(constB62) | (~v90(constB62, 0)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7848,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB61, 0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, 0))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 48.91/31.86 tff(7849,plain,
% 48.91/31.86 (v90(constB61, 0) | v100(constB62) | (~v90(constB62, 0))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7848, 164, 7521])).
% 48.91/31.86 tff(7850,plain,
% 48.91/31.86 ($false),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7849, 7842, 7562, 7561])).
% 48.91/31.86 tff(7851,plain,(v100(constB62) | v90(constB61, 0)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.86 tff(7852,plain,
% 48.91/31.86 (v100(constB62)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7851, 7560])).
% 48.91/31.86 tff(7853,plain,
% 48.91/31.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7854,plain,
% 48.91/31.86 (((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1)) <=> ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7855,plain,
% 48.91/31.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7854])).
% 48.91/31.86 tff(7856,plain,
% 48.91/31.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7855, 7853])).
% 48.91/31.86 tff(7857,plain,
% 48.91/31.86 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7858,plain,
% 48.91/31.86 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7857, 7856])).
% 48.91/31.86 tff(7859,plain,
% 48.91/31.86 ((~v90(constB62, 1)) | v129(constB62, 1)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7858, 453, 7852])).
% 48.91/31.86 tff(7860,plain,
% 48.91/31.86 (~v90(constB62, 1)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7859, 7526])).
% 48.91/31.86 tff(7861,plain,
% 48.91/31.86 ((~v1(constB63)) <=> (~v1(constB63))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7862,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 48.91/31.86 tff(7863,plain,
% 48.91/31.86 (~v1(constB63)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 48.91/31.86 tff(7864,plain,
% 48.91/31.86 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7865,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 48.91/31.86 tff(7866,plain,
% 48.91/31.86 (nextState(constB62, constB63)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7865, 7864])).
% 48.91/31.86 tff(7867,plain,
% 48.91/31.86 (((~![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)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7868,plain,
% 48.91/31.86 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7869,plain,
% 48.91/31.86 (((~![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))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7868])).
% 48.91/31.86 tff(7870,plain,
% 48.91/31.86 (((~![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)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7869, 7867])).
% 48.91/31.86 tff(7871,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7872,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 48.91/31.86 tff(7873,plain,
% 48.91/31.86 (~v101(constB63)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7872, 90, 7866, 7863])).
% 48.91/31.86 tff(7874,plain,
% 48.91/31.86 (((~![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)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7875,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7876,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 48.91/31.86 tff(7877,plain,
% 48.91/31.86 (v101(constB63) | (~v100(constB63))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7876, 107, 7866])).
% 48.91/31.86 tff(7878,plain,
% 48.91/31.86 (~v100(constB63)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7877, 7873])).
% 48.91/31.86 tff(7879,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7880,plain,
% 48.91/31.86 (((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))) <=> (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7881,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7880])).
% 48.91/31.86 tff(7882,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7881, 7879])).
% 48.91/31.86 tff(7883,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7884,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 48.91/31.86 tff(7885,plain,
% 48.91/31.86 (v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7884, 143, 7866])).
% 48.91/31.86 tff(7886,plain,
% 48.91/31.86 (v90(constB62, 1) | (~v90(constB63, 1))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7885, 7878])).
% 48.91/31.86 tff(7887,plain,
% 48.91/31.86 (~v90(constB63, 1)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7886, 7860])).
% 48.91/31.86 tff(7888,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7889,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7890,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 48.91/31.86 tff(7891,plain,
% 48.91/31.86 (~v130(constB61, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7890, 2097, 7502, 7498, 7494, 7490, 7455, 7451])).
% 48.91/31.86 tff(7892,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7893,plain,
% 48.91/31.86 ((v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2))) <=> ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7894,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7893])).
% 48.91/31.86 tff(7895,plain,
% 48.91/31.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7894, 7892])).
% 48.91/31.86 tff(7896,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7897,plain,
% 48.91/31.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 48.91/31.86 tff(7898,plain,
% 48.91/31.86 ((~v127(constB61, 2)) | v130(constB61, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7897, 593, 7510])).
% 48.91/31.86 tff(7899,plain,
% 48.91/31.86 (~v127(constB61, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7898, 7891])).
% 48.91/31.86 tff(7900,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7901,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7902,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 48.91/31.86 tff(7903,plain,
% 48.91/31.86 (v127(constB61, 2) | (~v129(constB62, 2))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7902, 611, 7521])).
% 48.91/31.86 tff(7904,plain,
% 48.91/31.86 (~v129(constB62, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7903, 7899])).
% 48.91/31.86 tff(7905,plain,
% 48.91/31.86 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7906,plain,
% 48.91/31.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7907,plain,
% 48.91/31.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7906, 7905])).
% 48.91/31.86 tff(7908,plain,
% 48.91/31.86 ((~v90(constB62, 2)) | v129(constB62, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7907, 626, 7852])).
% 48.91/31.86 tff(7909,plain,
% 48.91/31.86 (~v90(constB62, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7908, 7904])).
% 48.91/31.86 tff(7910,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7911,plain,
% 48.91/31.86 (((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))) <=> (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 48.91/31.86 inference(rewrite,[status(thm)],[])).
% 48.91/31.86 tff(7912,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))))),
% 48.91/31.86 inference(monotonicity,[status(thm)],[7911])).
% 48.91/31.86 tff(7913,plain,
% 48.91/31.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 48.91/31.86 inference(transitivity,[status(thm)],[7912, 7910])).
% 48.91/31.86 tff(7914,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))),
% 48.91/31.86 inference(quant_inst,[status(thm)],[])).
% 48.91/31.86 tff(7915,plain,
% 48.91/31.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))),
% 48.91/31.86 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 48.91/31.86 tff(7916,plain,
% 48.91/31.86 (v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7915, 122, 7866])).
% 48.91/31.86 tff(7917,plain,
% 48.91/31.86 (v90(constB62, 2) | (~v90(constB63, 2))),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7916, 7878])).
% 48.91/31.86 tff(7918,plain,
% 48.91/31.86 (~v90(constB63, 2)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7917, 7909])).
% 48.91/31.86 tff(7919,assumption,(~v130(constB61, 0)), introduced(assumption)).
% 48.91/31.86 tff(7920,plain,
% 48.91/31.86 (~v123(constB61)),
% 48.91/31.86 inference(unit_resolution,[status(thm)],[7732, 1677, 7919])).
% 48.91/31.86 tff(7921,plain,
% 48.91/31.86 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ((~v122(VarCurr)) | v90(VarCurr, 0)))),
% 48.91/31.86 inference(bind,[status(th)],[])).
% 48.91/31.86 tff(7922,plain,
% 48.91/31.86 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(quant_intro,[status(thm)],[7921])).
% 48.91/31.87 tff(7923,plain,
% 48.91/31.87 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7924,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 48.91/31.87 tff(7925,plain,
% 48.91/31.87 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 48.91/31.87 tff(7926,plain,(
% 48.91/31.87 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(skolemize,[status(sab)],[7925])).
% 48.91/31.87 tff(7927,plain,
% 48.91/31.87 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7926, 7922])).
% 48.91/31.87 tff(7928,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB61)) | v90(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB61)) | v90(constB61, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7929,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB61)) | v90(constB61, 0))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7930,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB61)) | v90(constB61, 0)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7929, 7928])).
% 48.91/31.87 tff(7931,plain,
% 48.91/31.87 (~v122(constB61)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7930, 7927, 7561])).
% 48.91/31.87 tff(7932,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB61)) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB61)) | v130(constB61, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7933,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB61)) | v130(constB61, 0))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7934,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB61)) | v130(constB61, 0)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7933, 7932])).
% 48.91/31.87 tff(7935,plain,
% 48.91/31.87 (~v121(constB61)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7934, 1184, 7919])).
% 48.91/31.87 tff(7936,plain,
% 48.91/31.87 (~v119(constB61)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7736, 501, 7919])).
% 48.91/31.87 tff(7937,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB61)) | v90(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB61)) | v90(constB61, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7938,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB61)) | v90(constB61, 0))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7939,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB61)) | v90(constB61, 0)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 48.91/31.87 tff(7940,plain,
% 48.91/31.87 (~v124(constB61)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7939, 3169, 7561])).
% 48.91/31.87 tff(7941,plain,
% 48.91/31.87 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ((~v120(VarCurr)) | v90(VarCurr, 0)))),
% 48.91/31.87 inference(bind,[status(th)],[])).
% 48.91/31.87 tff(7942,plain,
% 48.91/31.87 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(quant_intro,[status(thm)],[7941])).
% 48.91/31.87 tff(7943,plain,
% 48.91/31.87 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7944,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 48.91/31.87 tff(7945,plain,
% 48.91/31.87 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7944, 7943])).
% 48.91/31.87 tff(7946,plain,(
% 48.91/31.87 ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(skolemize,[status(sab)],[7945])).
% 48.91/31.87 tff(7947,plain,
% 48.91/31.87 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7946, 7942])).
% 48.91/31.87 tff(7948,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB61)) | v90(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB61)) | v90(constB61, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7949,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB61)) | v90(constB61, 0))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7950,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB61)) | v90(constB61, 0)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7949, 7948])).
% 48.91/31.87 tff(7951,plain,
% 48.91/31.87 (~v120(constB61)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7950, 7947, 7561])).
% 48.91/31.87 tff(7952,plain,
% 48.91/31.87 (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7768, 2200, 7919])).
% 48.91/31.87 tff(7953,plain,
% 48.91/31.87 ($false),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7952, 7951, 7940, 7936, 7935, 7931, 7920])).
% 48.91/31.87 tff(7954,plain,(v90(constB61, 0) | v130(constB61, 0)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.87 tff(7955,plain,
% 48.91/31.87 (v130(constB61, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7954, 7560])).
% 48.91/31.87 tff(7956,plain,
% 48.91/31.87 ((~v130(constB61, 0)) | v127(constB61, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7727, 515, 7510])).
% 48.91/31.87 tff(7957,plain,
% 48.91/31.87 (v127(constB61, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7956, 7955])).
% 48.91/31.87 tff(7958,plain,
% 48.91/31.87 (v129(constB62, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7721, 7957])).
% 48.91/31.87 tff(7959,plain,
% 48.91/31.87 (v90(constB62, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7715, 545, 7852, 7958])).
% 48.91/31.87 tff(7960,plain,
% 48.91/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7961,plain,
% 48.91/31.87 (((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)) <=> ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7962,plain,
% 48.91/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[7961])).
% 48.91/31.87 tff(7963,plain,
% 48.91/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 48.91/31.87 inference(transitivity,[status(thm)],[7962, 7960])).
% 48.91/31.87 tff(7964,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7965,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7964, 7963])).
% 48.91/31.87 tff(7966,plain,
% 48.91/31.87 ((~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7965, 563, 7866])).
% 48.91/31.87 tff(7967,plain,
% 48.91/31.87 ((~v90(constB62, 0)) | v90(constB63, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7966, 7878])).
% 48.91/31.87 tff(7968,plain,
% 48.91/31.87 (v90(constB63, 0)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7967, 7959])).
% 48.91/31.87 tff(7969,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7970,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7971,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 48.91/31.87 tff(7972,plain,
% 48.91/31.87 (v90(constB63, 1) | v90(constB63, 2) | v120(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7971, 651, 7968])).
% 48.91/31.87 tff(7973,plain,
% 48.91/31.87 (v120(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7972, 7918, 7887])).
% 48.91/31.87 tff(7974,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB63)) | v118(constB63))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7975,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7976,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB63)) | v118(constB63)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7975, 7974])).
% 48.91/31.87 tff(7977,plain,
% 48.91/31.87 (v118(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7976, 665, 7973])).
% 48.91/31.87 tff(7978,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7979,plain,
% 48.91/31.87 (((~v118(constB63)) | v117(constB63)) <=> (v117(constB63) | (~v118(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7980,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[7979])).
% 48.91/31.87 tff(7981,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[7980, 7978])).
% 48.91/31.87 tff(7982,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7983,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 48.91/31.87 tff(7984,plain,
% 48.91/31.87 (v117(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7983, 210, 7977])).
% 48.91/31.87 tff(7985,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB63)) | v116(constB63))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7986,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7987,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB63)) | v116(constB63)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 48.91/31.87 tff(7988,plain,
% 48.91/31.87 (v116(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7987, 224, 7984])).
% 48.91/31.87 tff(7989,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7990,plain,
% 48.91/31.87 (((~v116(constB63)) | v115(constB63)) <=> (v115(constB63) | (~v116(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7991,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[7990])).
% 48.91/31.87 tff(7992,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[7991, 7989])).
% 48.91/31.87 tff(7993,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(7994,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 48.91/31.87 tff(7995,plain,
% 48.91/31.87 (v115(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[7994, 238, 7988])).
% 48.91/31.87 tff(7996,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7997,plain,
% 48.91/31.87 (((~v115(constB63)) | v114(constB63)) <=> (v114(constB63) | (~v115(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(7998,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[7997])).
% 48.91/31.87 tff(7999,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[7998, 7996])).
% 48.91/31.87 tff(8000,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8001,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 48.91/31.87 tff(8002,plain,
% 48.91/31.87 (v114(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8001, 252, 7995])).
% 48.91/31.87 tff(8003,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8004,plain,
% 48.91/31.87 (((~v114(constB63)) | v113(constB63)) <=> (v113(constB63) | (~v114(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8005,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8004])).
% 48.91/31.87 tff(8006,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8005, 8003])).
% 48.91/31.87 tff(8007,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8008,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8007, 8006])).
% 48.91/31.87 tff(8009,plain,
% 48.91/31.87 (v113(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8008, 266, 8002])).
% 48.91/31.87 tff(8010,assumption,(~v108(constB63)), introduced(assumption)).
% 48.91/31.87 tff(8011,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8012,plain,
% 48.91/31.87 (((~v112(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v112(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8013,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8012])).
% 48.91/31.87 tff(8014,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8013, 8011])).
% 48.91/31.87 tff(8015,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8016,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8015, 8014])).
% 48.91/31.87 tff(8017,plain,
% 48.91/31.87 (~v112(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8016, 292, 8010])).
% 48.91/31.87 tff(8018,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v26(constB63)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v26(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8019,plain,
% 48.91/31.87 (((~v26(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v26(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8020,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v26(constB63))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8019])).
% 48.91/31.87 tff(8021,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v26(constB63)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8020, 8018])).
% 48.91/31.87 tff(8022,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB63)) | v108(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8023,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v26(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 48.91/31.87 tff(8024,plain,
% 48.91/31.87 (~v26(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8023, 1761, 8010])).
% 48.91/31.87 tff(8025,assumption,(v113(constB63)), introduced(assumption)).
% 48.91/31.87 tff(8026,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8027,plain,
% 48.91/31.87 ((v26(constB63) | (~v113(constB63)) | v112(constB63)) <=> (v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8028,plain,
% 48.91/31.87 (((~![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) | v112(constB63) | (~v113(constB63))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8027])).
% 48.91/31.87 tff(8029,plain,
% 48.91/31.87 (((~![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) | v112(constB63) | (~v113(constB63)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8028, 8026])).
% 48.91/31.87 tff(8030,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8031,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 48.91/31.87 tff(8032,plain,
% 48.91/31.87 (v26(constB63) | v112(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8031, 280, 8025])).
% 48.91/31.87 tff(8033,plain,
% 48.91/31.87 ($false),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8032, 8024, 8017])).
% 48.91/31.87 tff(8034,plain,(v108(constB63) | (~v113(constB63))), inference(lemma,lemma(discharge,[]))).
% 48.91/31.87 tff(8035,plain,
% 48.91/31.87 (v108(constB63)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8034, 8009])).
% 48.91/31.87 tff(8036,plain,
% 48.91/31.87 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8037,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 48.91/31.87 tff(8038,plain,
% 48.91/31.87 (nextState(constB63, constB64)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 48.91/31.87 tff(8039,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8040,plain,
% 48.91/31.87 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8041,plain,
% 48.91/31.87 (((~![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))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8040])).
% 48.91/31.87 tff(8042,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8041, 8039])).
% 48.91/31.87 tff(8043,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8044,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 48.91/31.87 tff(8045,plain,
% 48.91/31.87 (v110(constB64) | (~v108(constB63))),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8044, 312, 8038])).
% 48.91/31.87 tff(8046,plain,
% 48.91/31.87 (v110(constB64)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8045, 8035])).
% 48.91/31.87 tff(8047,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8048,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8049,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8048, 8047])).
% 48.91/31.87 tff(8050,plain,
% 48.91/31.87 (~v104(constB64)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8049, 330, 8038, 7863])).
% 48.91/31.87 tff(8051,plain,
% 48.91/31.87 (((~![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)) | v102(constB64) | v104(constB64))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8052,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8053,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8052, 8051])).
% 48.91/31.87 tff(8054,plain,
% 48.91/31.87 (v102(constB64) | v104(constB64)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8053, 344, 8038])).
% 48.91/31.87 tff(8055,plain,
% 48.91/31.87 (v102(constB64)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8054, 8050])).
% 48.91/31.87 tff(8056,plain,
% 48.91/31.87 (v1(constB64) <=> v1(constB64)),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8057,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 48.91/31.87 tff(8058,plain,
% 48.91/31.87 (v1(constB64)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8057, 8056])).
% 48.91/31.87 tff(8059,plain,
% 48.91/31.87 (((~![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)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8060,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8061,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8060, 8059])).
% 48.91/31.87 tff(8062,plain,
% 48.91/31.87 (v101(constB64) | (~v102(constB64))),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8061, 362, 8038, 8058])).
% 48.91/31.87 tff(8063,plain,
% 48.91/31.87 (v101(constB64)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8062, 8055])).
% 48.91/31.87 tff(8064,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8065,plain,
% 48.91/31.87 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8066,plain,
% 48.91/31.87 (((~![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))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8065])).
% 48.91/31.87 tff(8067,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8066, 8064])).
% 48.91/31.87 tff(8068,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8069,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8068, 8067])).
% 48.91/31.87 tff(8070,plain,
% 48.91/31.87 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8069, 377, 8038])).
% 48.91/31.87 tff(8071,plain,
% 48.91/31.87 (v100(constB64) | (~v110(constB64))),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8070, 8063])).
% 48.91/31.87 tff(8072,plain,
% 48.91/31.87 (v100(constB64)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8071, 8046])).
% 48.91/31.87 tff(8073,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8074,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8075,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 48.91/31.87 tff(8076,plain,
% 48.91/31.87 (~v130(constB63, 2)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8075, 767, 7973])).
% 48.91/31.87 tff(8077,assumption,(v26(constB63)), introduced(assumption)).
% 48.91/31.87 tff(8078,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8079,plain,
% 48.91/31.87 ($false),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8078, 43, 8077])).
% 48.91/31.87 tff(8080,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.87 tff(8081,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8082,plain,
% 48.91/31.87 ((v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2))) <=> ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8083,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8082])).
% 48.91/31.87 tff(8084,plain,
% 48.91/31.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8083, 8081])).
% 48.91/31.87 tff(8085,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8086,plain,
% 48.91/31.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8085, 8084])).
% 48.91/31.87 tff(8087,plain,
% 48.91/31.87 ((~v127(constB63, 2)) | v130(constB63, 2)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8086, 593, 8080])).
% 48.91/31.87 tff(8088,plain,
% 48.91/31.87 (~v127(constB63, 2)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8087, 8076])).
% 48.91/31.87 tff(8089,plain,
% 48.91/31.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8090,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8091,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 48.91/31.87 tff(8092,plain,
% 48.91/31.87 (v127(constB63, 2) | (~v129(constB64, 2))),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8091, 611, 8038])).
% 48.91/31.87 tff(8093,plain,
% 48.91/31.87 (~v129(constB64, 2)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8092, 8088])).
% 48.91/31.87 tff(8094,plain,
% 48.91/31.87 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8095,plain,
% 48.91/31.87 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8096,plain,
% 48.91/31.87 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 48.91/31.87 tff(8097,plain,
% 48.91/31.87 ((~v90(constB64, 2)) | (~v100(constB64))),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8096, 626, 8093])).
% 48.91/31.87 tff(8098,plain,
% 48.91/31.87 (~v90(constB64, 2)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8097, 8072])).
% 48.91/31.87 tff(8099,plain,
% 48.91/31.87 ((~v1(constB65)) <=> (~v1(constB65))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8100,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 48.91/31.87 tff(8101,plain,
% 48.91/31.87 (~v1(constB65)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8100, 8099])).
% 48.91/31.87 tff(8102,plain,
% 48.91/31.87 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8103,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 48.91/31.87 tff(8104,plain,
% 48.91/31.87 (nextState(constB64, constB65)),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8103, 8102])).
% 48.91/31.87 tff(8105,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8106,plain,
% 48.91/31.87 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8107,plain,
% 48.91/31.87 (((~![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))))),
% 48.91/31.87 inference(monotonicity,[status(thm)],[8106])).
% 48.91/31.87 tff(8108,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(transitivity,[status(thm)],[8107, 8105])).
% 48.91/31.87 tff(8109,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8110,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 48.91/31.87 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 48.91/31.87 tff(8111,plain,
% 48.91/31.87 (~v101(constB65)),
% 48.91/31.87 inference(unit_resolution,[status(thm)],[8110, 90, 8104, 8101])).
% 48.91/31.87 tff(8112,plain,
% 48.91/31.87 (((~![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)))),
% 48.91/31.87 inference(rewrite,[status(thm)],[])).
% 48.91/31.87 tff(8113,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 48.91/31.87 inference(quant_inst,[status(thm)],[])).
% 48.91/31.87 tff(8114,plain,
% 48.91/31.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 48.91/31.88 tff(8115,plain,
% 48.91/31.88 (v101(constB65) | (~v100(constB65))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8114, 107, 8104])).
% 48.91/31.88 tff(8116,plain,
% 48.91/31.88 (~v100(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8115, 8111])).
% 48.91/31.88 tff(8117,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8118,plain,
% 48.91/31.88 (((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))) <=> (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8119,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8118])).
% 48.91/31.88 tff(8120,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8119, 8117])).
% 48.91/31.88 tff(8121,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8122,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 48.91/31.88 tff(8123,plain,
% 48.91/31.88 (v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8122, 122, 8104])).
% 48.91/31.88 tff(8124,plain,
% 48.91/31.88 (v90(constB64, 2) | (~v90(constB65, 2))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8123, 8116])).
% 48.91/31.88 tff(8125,plain,
% 48.91/31.88 (~v90(constB65, 2)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8124, 8098])).
% 48.91/31.88 tff(8126,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8127,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8128,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 48.91/31.88 tff(8129,plain,
% 48.91/31.88 (v130(constB63, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8128, 838, 7973])).
% 48.91/31.88 tff(8130,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8131,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8132,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8131, 8130])).
% 48.91/31.88 tff(8133,plain,
% 48.91/31.88 ((~v130(constB63, 1)) | v127(constB63, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8132, 852, 8080])).
% 48.91/31.88 tff(8134,plain,
% 48.91/31.88 (v127(constB63, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8133, 8129])).
% 48.91/31.88 tff(8135,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8136,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8137,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8136, 8135])).
% 48.91/31.88 tff(8138,plain,
% 48.91/31.88 ((~v127(constB63, 1)) | v129(constB64, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8137, 867, 8038])).
% 48.91/31.88 tff(8139,plain,
% 48.91/31.88 (v129(constB64, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8138, 8134])).
% 48.91/31.88 tff(8140,plain,
% 48.91/31.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8141,plain,
% 48.91/31.88 ((v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1))) <=> (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8142,plain,
% 48.91/31.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8141])).
% 48.91/31.88 tff(8143,plain,
% 48.91/31.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8142, 8140])).
% 48.91/31.88 tff(8144,plain,
% 48.91/31.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8145,plain,
% 48.91/31.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8144, 8143])).
% 48.91/31.88 tff(8146,plain,
% 48.91/31.88 (v90(constB64, 1) | (~v100(constB64))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8145, 882, 8139])).
% 48.91/31.88 tff(8147,plain,
% 48.91/31.88 (v90(constB64, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8146, 8072])).
% 48.91/31.88 tff(8148,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8149,plain,
% 48.91/31.88 (((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)) <=> ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8150,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8149])).
% 48.91/31.88 tff(8151,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8150, 8148])).
% 48.91/31.88 tff(8152,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8153,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8152, 8151])).
% 48.91/31.88 tff(8154,plain,
% 48.91/31.88 ((~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8153, 900, 8104])).
% 48.91/31.88 tff(8155,plain,
% 48.91/31.88 ((~v90(constB64, 1)) | v90(constB65, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8154, 8116])).
% 48.91/31.88 tff(8156,plain,
% 48.91/31.88 (v90(constB65, 1)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8155, 8147])).
% 48.91/31.88 tff(8157,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8158,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8159,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 48.91/31.88 tff(8160,plain,
% 48.91/31.88 (~v130(constB63, 0)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8159, 916, 7973])).
% 48.91/31.88 tff(8161,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8162,plain,
% 48.91/31.88 ((v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0))) <=> ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8163,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8162])).
% 48.91/31.88 tff(8164,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8163, 8161])).
% 48.91/31.88 tff(8165,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8166,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 48.91/31.88 tff(8167,plain,
% 48.91/31.88 ((~v127(constB63, 0)) | v130(constB63, 0)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8166, 930, 8080])).
% 48.91/31.88 tff(8168,plain,
% 48.91/31.88 (~v127(constB63, 0)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8167, 8160])).
% 48.91/31.88 tff(8169,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8170,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8171,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 48.91/31.88 tff(8172,plain,
% 48.91/31.88 (v127(constB63, 0) | (~v129(constB64, 0))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8171, 948, 8038])).
% 48.91/31.88 tff(8173,plain,
% 48.91/31.88 (~v129(constB64, 0)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8172, 8168])).
% 48.91/31.88 tff(8174,plain,
% 48.91/31.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8175,plain,
% 48.91/31.88 (((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0)) <=> ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8176,plain,
% 48.91/31.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8175])).
% 48.91/31.88 tff(8177,plain,
% 48.91/31.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8176, 8174])).
% 48.91/31.88 tff(8178,plain,
% 48.91/31.88 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8179,plain,
% 48.91/31.88 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8178, 8177])).
% 48.91/31.88 tff(8180,plain,
% 48.91/31.88 ((~v90(constB64, 0)) | (~v100(constB64))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8179, 963, 8173])).
% 48.91/31.88 tff(8181,plain,
% 48.91/31.88 (~v90(constB64, 0)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8180, 8072])).
% 48.91/31.88 tff(8182,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8183,plain,
% 48.91/31.88 (((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))) <=> (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8184,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8183])).
% 48.91/31.88 tff(8185,plain,
% 48.91/31.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8184, 8182])).
% 48.91/31.88 tff(8186,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8187,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8186, 8185])).
% 48.91/31.88 tff(8188,plain,
% 48.91/31.88 (v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8187, 164, 8104])).
% 48.91/31.88 tff(8189,plain,
% 48.91/31.88 (v90(constB64, 0) | (~v90(constB65, 0))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8188, 8116])).
% 48.91/31.88 tff(8190,plain,
% 48.91/31.88 (~v90(constB65, 0)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8189, 8181])).
% 48.91/31.88 tff(8191,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8192,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8193,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 48.91/31.88 tff(8194,plain,
% 48.91/31.88 (v121(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8193, 990, 8190, 8156, 8125])).
% 48.91/31.88 tff(8195,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8196,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8197,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 48.91/31.88 tff(8198,plain,
% 48.91/31.88 (v117(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8197, 1001, 8194])).
% 48.91/31.88 tff(8199,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8200,plain,
% 48.91/31.88 (((~v117(constB65)) | v116(constB65)) <=> (v116(constB65) | (~v117(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8201,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8200])).
% 48.91/31.88 tff(8202,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8201, 8199])).
% 48.91/31.88 tff(8203,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8204,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 48.91/31.88 tff(8205,plain,
% 48.91/31.88 (v116(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8204, 224, 8198])).
% 48.91/31.88 tff(8206,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8207,plain,
% 48.91/31.88 (((~v116(constB65)) | v115(constB65)) <=> (v115(constB65) | (~v116(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8208,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8207])).
% 48.91/31.88 tff(8209,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8208, 8206])).
% 48.91/31.88 tff(8210,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8211,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8210, 8209])).
% 48.91/31.88 tff(8212,plain,
% 48.91/31.88 (v115(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8211, 238, 8205])).
% 48.91/31.88 tff(8213,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8214,plain,
% 48.91/31.88 (((~v115(constB65)) | v114(constB65)) <=> (v114(constB65) | (~v115(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8215,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8214])).
% 48.91/31.88 tff(8216,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8215, 8213])).
% 48.91/31.88 tff(8217,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8218,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8217, 8216])).
% 48.91/31.88 tff(8219,plain,
% 48.91/31.88 (v114(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8218, 252, 8212])).
% 48.91/31.88 tff(8220,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8221,plain,
% 48.91/31.88 (((~v114(constB65)) | v113(constB65)) <=> (v113(constB65) | (~v114(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8222,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8221])).
% 48.91/31.88 tff(8223,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8222, 8220])).
% 48.91/31.88 tff(8224,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8225,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 48.91/31.88 tff(8226,plain,
% 48.91/31.88 (v113(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8225, 266, 8219])).
% 48.91/31.88 tff(8227,assumption,(v26(constB65)), introduced(assumption)).
% 48.91/31.88 tff(8228,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8229,plain,
% 48.91/31.88 ($false),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8228, 43, 8227])).
% 48.91/31.88 tff(8230,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.88 tff(8231,plain,
% 48.91/31.88 (((~![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)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8232,plain,
% 48.91/31.88 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8233,plain,
% 48.91/31.88 (((~![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))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8232])).
% 48.91/31.88 tff(8234,plain,
% 48.91/31.88 (((~![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)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8233, 8231])).
% 48.91/31.88 tff(8235,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8236,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 48.91/31.88 tff(8237,plain,
% 48.91/31.88 (v112(constB65) | (~v113(constB65))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8236, 280, 8230])).
% 48.91/31.88 tff(8238,plain,
% 48.91/31.88 (v112(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8237, 8226])).
% 48.91/31.88 tff(8239,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8240,plain,
% 48.91/31.88 (((~v112(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v112(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8241,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8240])).
% 48.91/31.88 tff(8242,plain,
% 48.91/31.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8241, 8239])).
% 48.91/31.88 tff(8243,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8244,plain,
% 48.91/31.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 48.91/31.88 tff(8245,plain,
% 48.91/31.88 (v108(constB65)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8244, 292, 8238])).
% 48.91/31.88 tff(8246,plain,
% 48.91/31.88 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8247,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 48.91/31.88 tff(8248,plain,
% 48.91/31.88 (nextState(constB65, constB66)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 48.91/31.88 tff(8249,plain,
% 48.91/31.88 (((~![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)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8250,plain,
% 48.91/31.88 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8251,plain,
% 48.91/31.88 (((~![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))))),
% 48.91/31.88 inference(monotonicity,[status(thm)],[8250])).
% 48.91/31.88 tff(8252,plain,
% 48.91/31.88 (((~![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)))),
% 48.91/31.88 inference(transitivity,[status(thm)],[8251, 8249])).
% 48.91/31.88 tff(8253,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8254,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8253, 8252])).
% 48.91/31.88 tff(8255,plain,
% 48.91/31.88 (v110(constB66) | (~v108(constB65))),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8254, 312, 8248])).
% 48.91/31.88 tff(8256,plain,
% 48.91/31.88 (v110(constB66)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8255, 8245])).
% 48.91/31.88 tff(8257,plain,
% 48.91/31.88 (((~![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)))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8258,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8259,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8258, 8257])).
% 48.91/31.88 tff(8260,plain,
% 48.91/31.88 (~v104(constB66)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8259, 330, 8248, 8101])).
% 48.91/31.88 tff(8261,plain,
% 48.91/31.88 (((~![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)) | v102(constB66) | v104(constB66))),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8262,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 48.91/31.88 inference(quant_inst,[status(thm)],[])).
% 48.91/31.88 tff(8263,plain,
% 48.91/31.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8262, 8261])).
% 48.91/31.88 tff(8264,plain,
% 48.91/31.88 (v102(constB66) | v104(constB66)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8263, 344, 8248])).
% 48.91/31.88 tff(8265,plain,
% 48.91/31.88 (v102(constB66)),
% 48.91/31.88 inference(unit_resolution,[status(thm)],[8264, 8260])).
% 48.91/31.88 tff(8266,plain,
% 48.91/31.88 (v1(constB66) <=> v1(constB66)),
% 48.91/31.88 inference(rewrite,[status(thm)],[])).
% 48.91/31.88 tff(8267,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 48.91/31.88 tff(8268,plain,
% 48.91/31.88 (v1(constB66)),
% 48.91/31.88 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 48.91/31.88 tff(8269,plain,
% 48.91/31.88 (((~![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)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8270,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8271,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8270, 8269])).
% 48.91/31.89 tff(8272,plain,
% 48.91/31.89 (v101(constB66) | (~v102(constB66))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8271, 362, 8248, 8268])).
% 48.91/31.89 tff(8273,plain,
% 48.91/31.89 (v101(constB66)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8272, 8265])).
% 48.91/31.89 tff(8274,plain,
% 48.91/31.89 (((~![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)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8275,plain,
% 48.91/31.89 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8276,plain,
% 48.91/31.89 (((~![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))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8275])).
% 48.91/31.89 tff(8277,plain,
% 48.91/31.89 (((~![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)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8276, 8274])).
% 48.91/31.89 tff(8278,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8279,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8278, 8277])).
% 48.91/31.89 tff(8280,plain,
% 48.91/31.89 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8279, 377, 8248])).
% 48.91/31.89 tff(8281,plain,
% 48.91/31.89 (v100(constB66) | (~v110(constB66))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8280, 8273])).
% 48.91/31.89 tff(8282,plain,
% 48.91/31.89 (v100(constB66)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8281, 8256])).
% 48.91/31.89 tff(8283,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8284,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8285,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 48.91/31.89 tff(8286,plain,
% 48.91/31.89 (~v130(constB65, 2)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8285, 1090, 8194])).
% 48.91/31.89 tff(8287,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8288,plain,
% 48.91/31.89 ((v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2))) <=> ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8289,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8288])).
% 48.91/31.89 tff(8290,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8289, 8287])).
% 48.91/31.89 tff(8291,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8292,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8291, 8290])).
% 48.91/31.89 tff(8293,plain,
% 48.91/31.89 ((~v127(constB65, 2)) | v130(constB65, 2)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8292, 593, 8230])).
% 48.91/31.89 tff(8294,plain,
% 48.91/31.89 (~v127(constB65, 2)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8293, 8286])).
% 48.91/31.89 tff(8295,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8296,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8297,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8296, 8295])).
% 48.91/31.89 tff(8298,plain,
% 48.91/31.89 (v127(constB65, 2) | (~v129(constB66, 2))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8297, 611, 8248])).
% 48.91/31.89 tff(8299,plain,
% 48.91/31.89 (~v129(constB66, 2)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8298, 8294])).
% 48.91/31.89 tff(8300,plain,
% 48.91/31.89 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8301,plain,
% 48.91/31.89 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8302,plain,
% 48.91/31.89 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8301, 8300])).
% 48.91/31.89 tff(8303,plain,
% 48.91/31.89 ((~v90(constB66, 2)) | (~v100(constB66))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8302, 626, 8299])).
% 48.91/31.89 tff(8304,plain,
% 48.91/31.89 (~v90(constB66, 2)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8303, 8282])).
% 48.91/31.89 tff(8305,plain,
% 48.91/31.89 ((~v1(constB67)) <=> (~v1(constB67))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8306,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 48.91/31.89 tff(8307,plain,
% 48.91/31.89 (~v1(constB67)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 48.91/31.89 tff(8308,plain,
% 48.91/31.89 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8309,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 48.91/31.89 tff(8310,plain,
% 48.91/31.89 (nextState(constB66, constB67)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8309, 8308])).
% 48.91/31.89 tff(8311,plain,
% 48.91/31.89 (((~![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)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8312,plain,
% 48.91/31.89 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8313,plain,
% 48.91/31.89 (((~![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))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8312])).
% 48.91/31.89 tff(8314,plain,
% 48.91/31.89 (((~![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)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8313, 8311])).
% 48.91/31.89 tff(8315,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8316,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8315, 8314])).
% 48.91/31.89 tff(8317,plain,
% 48.91/31.89 (~v101(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8316, 90, 8310, 8307])).
% 48.91/31.89 tff(8318,plain,
% 48.91/31.89 (((~![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)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8319,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8320,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8319, 8318])).
% 48.91/31.89 tff(8321,plain,
% 48.91/31.89 (v101(constB67) | (~v100(constB67))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8320, 107, 8310])).
% 48.91/31.89 tff(8322,plain,
% 48.91/31.89 (~v100(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8321, 8317])).
% 48.91/31.89 tff(8323,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8324,plain,
% 48.91/31.89 (((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))) <=> (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8325,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8324])).
% 48.91/31.89 tff(8326,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8325, 8323])).
% 48.91/31.89 tff(8327,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8328,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8327, 8326])).
% 48.91/31.89 tff(8329,plain,
% 48.91/31.89 (v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8328, 122, 8310])).
% 48.91/31.89 tff(8330,plain,
% 48.91/31.89 (v90(constB66, 2) | (~v90(constB67, 2))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8329, 8322])).
% 48.91/31.89 tff(8331,plain,
% 48.91/31.89 (~v90(constB67, 2)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8330, 8304])).
% 48.91/31.89 tff(8332,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8333,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8334,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8333, 8332])).
% 48.91/31.89 tff(8335,plain,
% 48.91/31.89 (v130(constB65, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8334, 1146, 8194])).
% 48.91/31.89 tff(8336,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8337,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8338,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8337, 8336])).
% 48.91/31.89 tff(8339,plain,
% 48.91/31.89 ((~v130(constB65, 1)) | v127(constB65, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8338, 852, 8230])).
% 48.91/31.89 tff(8340,plain,
% 48.91/31.89 (v127(constB65, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8339, 8335])).
% 48.91/31.89 tff(8341,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8342,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8343,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8342, 8341])).
% 48.91/31.89 tff(8344,plain,
% 48.91/31.89 ((~v127(constB65, 1)) | v129(constB66, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8343, 867, 8248])).
% 48.91/31.89 tff(8345,plain,
% 48.91/31.89 (v129(constB66, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8344, 8340])).
% 48.91/31.89 tff(8346,plain,
% 48.91/31.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8347,plain,
% 48.91/31.89 ((v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1))) <=> (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8348,plain,
% 48.91/31.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8347])).
% 48.91/31.89 tff(8349,plain,
% 48.91/31.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8348, 8346])).
% 48.91/31.89 tff(8350,plain,
% 48.91/31.89 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8351,plain,
% 48.91/31.89 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 48.91/31.89 tff(8352,plain,
% 48.91/31.89 (v90(constB66, 1) | (~v100(constB66))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8351, 882, 8345])).
% 48.91/31.89 tff(8353,plain,
% 48.91/31.89 (v90(constB66, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8352, 8282])).
% 48.91/31.89 tff(8354,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8355,plain,
% 48.91/31.89 (((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)) <=> ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8356,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8355])).
% 48.91/31.89 tff(8357,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8356, 8354])).
% 48.91/31.89 tff(8358,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8359,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 48.91/31.89 tff(8360,plain,
% 48.91/31.89 ((~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8359, 900, 8310])).
% 48.91/31.89 tff(8361,plain,
% 48.91/31.89 ((~v90(constB66, 1)) | v90(constB67, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8360, 8322])).
% 48.91/31.89 tff(8362,plain,
% 48.91/31.89 (v90(constB67, 1)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8361, 8353])).
% 48.91/31.89 tff(8363,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8364,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8365,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 48.91/31.89 tff(8366,plain,
% 48.91/31.89 (v130(constB65, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8365, 1184, 8194])).
% 48.91/31.89 tff(8367,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8368,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8369,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8368, 8367])).
% 48.91/31.89 tff(8370,plain,
% 48.91/31.89 ((~v130(constB65, 0)) | v127(constB65, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8369, 515, 8230])).
% 48.91/31.89 tff(8371,plain,
% 48.91/31.89 (v127(constB65, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8370, 8366])).
% 48.91/31.89 tff(8372,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8373,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8374,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8373, 8372])).
% 48.91/31.89 tff(8375,plain,
% 48.91/31.89 ((~v127(constB65, 0)) | v129(constB66, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8374, 530, 8248])).
% 48.91/31.89 tff(8376,plain,
% 48.91/31.89 (v129(constB66, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8375, 8371])).
% 48.91/31.89 tff(8377,plain,
% 48.91/31.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8378,plain,
% 48.91/31.89 ((v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0))) <=> (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8379,plain,
% 48.91/31.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8378])).
% 48.91/31.89 tff(8380,plain,
% 48.91/31.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8379, 8377])).
% 48.91/31.89 tff(8381,plain,
% 48.91/31.89 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8382,plain,
% 48.91/31.89 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8381, 8380])).
% 48.91/31.89 tff(8383,plain,
% 48.91/31.89 (v90(constB66, 0) | (~v100(constB66))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8382, 545, 8376])).
% 48.91/31.89 tff(8384,plain,
% 48.91/31.89 (v90(constB66, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8383, 8282])).
% 48.91/31.89 tff(8385,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8386,plain,
% 48.91/31.89 (((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)) <=> ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8387,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8386])).
% 48.91/31.89 tff(8388,plain,
% 48.91/31.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8387, 8385])).
% 48.91/31.89 tff(8389,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8390,plain,
% 48.91/31.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8389, 8388])).
% 48.91/31.89 tff(8391,plain,
% 48.91/31.89 ((~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8390, 563, 8310])).
% 48.91/31.89 tff(8392,plain,
% 48.91/31.89 ((~v90(constB66, 0)) | v90(constB67, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8391, 8322])).
% 48.91/31.89 tff(8393,plain,
% 48.91/31.89 (v90(constB67, 0)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8392, 8384])).
% 48.91/31.89 tff(8394,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8395,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8396,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8395, 8394])).
% 48.91/31.89 tff(8397,plain,
% 48.91/31.89 (v122(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8396, 1225, 8393, 8362, 8331])).
% 48.91/31.89 tff(8398,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8399,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8400,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67)),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8399, 8398])).
% 48.91/31.89 tff(8401,plain,
% 48.91/31.89 (v116(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8400, 1236, 8397])).
% 48.91/31.89 tff(8402,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8403,plain,
% 48.91/31.89 (((~v116(constB67)) | v115(constB67)) <=> (v115(constB67) | (~v116(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8404,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8403])).
% 48.91/31.89 tff(8405,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8404, 8402])).
% 48.91/31.89 tff(8406,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8407,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 48.91/31.89 tff(8408,plain,
% 48.91/31.89 (v115(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8407, 238, 8401])).
% 48.91/31.89 tff(8409,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8410,plain,
% 48.91/31.89 (((~v115(constB67)) | v114(constB67)) <=> (v114(constB67) | (~v115(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8411,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8410])).
% 48.91/31.89 tff(8412,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8411, 8409])).
% 48.91/31.89 tff(8413,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8414,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8413, 8412])).
% 48.91/31.89 tff(8415,plain,
% 48.91/31.89 (v114(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8414, 252, 8408])).
% 48.91/31.89 tff(8416,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8417,plain,
% 48.91/31.89 (((~v114(constB67)) | v113(constB67)) <=> (v113(constB67) | (~v114(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8418,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8417])).
% 48.91/31.89 tff(8419,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8418, 8416])).
% 48.91/31.89 tff(8420,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8421,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8420, 8419])).
% 48.91/31.89 tff(8422,plain,
% 48.91/31.89 (v113(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8421, 266, 8415])).
% 48.91/31.89 tff(8423,assumption,(v26(constB67)), introduced(assumption)).
% 48.91/31.89 tff(8424,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8425,plain,
% 48.91/31.89 ($false),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8424, 43, 8423])).
% 48.91/31.89 tff(8426,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.89 tff(8427,plain,
% 48.91/31.89 (((~![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)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8428,plain,
% 48.91/31.89 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8429,plain,
% 48.91/31.89 (((~![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))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8428])).
% 48.91/31.89 tff(8430,plain,
% 48.91/31.89 (((~![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)))),
% 48.91/31.89 inference(transitivity,[status(thm)],[8429, 8427])).
% 48.91/31.89 tff(8431,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 48.91/31.89 inference(quant_inst,[status(thm)],[])).
% 48.91/31.89 tff(8432,plain,
% 48.91/31.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 48.91/31.89 inference(modus_ponens,[status(thm)],[8431, 8430])).
% 48.91/31.89 tff(8433,plain,
% 48.91/31.89 (v112(constB67) | (~v113(constB67))),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8432, 280, 8426])).
% 48.91/31.89 tff(8434,plain,
% 48.91/31.89 (v112(constB67)),
% 48.91/31.89 inference(unit_resolution,[status(thm)],[8433, 8422])).
% 48.91/31.89 tff(8435,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8436,plain,
% 48.91/31.89 (((~v112(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v112(constB67)))),
% 48.91/31.89 inference(rewrite,[status(thm)],[])).
% 48.91/31.89 tff(8437,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67))))),
% 48.91/31.89 inference(monotonicity,[status(thm)],[8436])).
% 48.91/31.89 tff(8438,plain,
% 48.91/31.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8437, 8435])).
% 48.91/31.90 tff(8439,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8440,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8439, 8438])).
% 48.91/31.90 tff(8441,plain,
% 48.91/31.90 (v108(constB67)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8440, 292, 8434])).
% 48.91/31.90 tff(8442,plain,
% 48.91/31.90 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8443,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 48.91/31.90 tff(8444,plain,
% 48.91/31.90 (nextState(constB67, constB68)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 48.91/31.90 tff(8445,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8446,plain,
% 48.91/31.90 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8447,plain,
% 48.91/31.90 (((~![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))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8446])).
% 48.91/31.90 tff(8448,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8447, 8445])).
% 48.91/31.90 tff(8449,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8450,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 48.91/31.90 tff(8451,plain,
% 48.91/31.90 (v110(constB68) | (~v108(constB67))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8450, 312, 8444])).
% 48.91/31.90 tff(8452,plain,
% 48.91/31.90 (v110(constB68)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8451, 8441])).
% 48.91/31.90 tff(8453,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8454,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8455,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8454, 8453])).
% 48.91/31.90 tff(8456,plain,
% 48.91/31.90 (~v104(constB68)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8455, 330, 8444, 8307])).
% 48.91/31.90 tff(8457,plain,
% 48.91/31.90 (((~![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)) | v102(constB68) | v104(constB68))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8458,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8459,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 48.91/31.90 tff(8460,plain,
% 48.91/31.90 (v102(constB68) | v104(constB68)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8459, 344, 8444])).
% 48.91/31.90 tff(8461,plain,
% 48.91/31.90 (v102(constB68)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8460, 8456])).
% 48.91/31.90 tff(8462,plain,
% 48.91/31.90 (v1(constB68) <=> v1(constB68)),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8463,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 48.91/31.90 tff(8464,plain,
% 48.91/31.90 (v1(constB68)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8463, 8462])).
% 48.91/31.90 tff(8465,plain,
% 48.91/31.90 (((~![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)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8466,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8467,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 48.91/31.90 tff(8468,plain,
% 48.91/31.90 (v101(constB68) | (~v102(constB68))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8467, 362, 8444, 8464])).
% 48.91/31.90 tff(8469,plain,
% 48.91/31.90 (v101(constB68)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8468, 8461])).
% 48.91/31.90 tff(8470,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8471,plain,
% 48.91/31.90 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8472,plain,
% 48.91/31.90 (((~![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))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8471])).
% 48.91/31.90 tff(8473,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8472, 8470])).
% 48.91/31.90 tff(8474,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8475,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 48.91/31.90 tff(8476,plain,
% 48.91/31.90 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8475, 377, 8444])).
% 48.91/31.90 tff(8477,plain,
% 48.91/31.90 (v100(constB68) | (~v110(constB68))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8476, 8469])).
% 48.91/31.90 tff(8478,plain,
% 48.91/31.90 (v100(constB68)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8477, 8452])).
% 48.91/31.90 tff(8479,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8480,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8481,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 48.91/31.90 tff(8482,plain,
% 48.91/31.90 (v130(constB67, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8481, 1314, 8397])).
% 48.91/31.90 tff(8483,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8484,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8485,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8484, 8483])).
% 48.91/31.90 tff(8486,plain,
% 48.91/31.90 ((~v130(constB67, 2)) | v127(constB67, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8485, 1328, 8426])).
% 48.91/31.90 tff(8487,plain,
% 48.91/31.90 (v127(constB67, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8486, 8482])).
% 48.91/31.90 tff(8488,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8489,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8490,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8489, 8488])).
% 48.91/31.90 tff(8491,plain,
% 48.91/31.90 ((~v127(constB67, 2)) | v129(constB68, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8490, 1343, 8444])).
% 48.91/31.90 tff(8492,plain,
% 48.91/31.90 (v129(constB68, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8491, 8487])).
% 48.91/31.90 tff(8493,plain,
% 48.91/31.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8494,plain,
% 48.91/31.90 ((v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2))) <=> (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8495,plain,
% 48.91/31.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8494])).
% 48.91/31.90 tff(8496,plain,
% 48.91/31.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8495, 8493])).
% 48.91/31.90 tff(8497,plain,
% 48.91/31.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8498,plain,
% 48.91/31.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8497, 8496])).
% 48.91/31.90 tff(8499,plain,
% 48.91/31.90 (v90(constB68, 2) | (~v100(constB68))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8498, 1358, 8492])).
% 48.91/31.90 tff(8500,plain,
% 48.91/31.90 (v90(constB68, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8499, 8478])).
% 48.91/31.90 tff(8501,plain,
% 48.91/31.90 ((~v1(constB69)) <=> (~v1(constB69))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8502,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 48.91/31.90 tff(8503,plain,
% 48.91/31.90 (~v1(constB69)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8502, 8501])).
% 48.91/31.90 tff(8504,plain,
% 48.91/31.90 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8505,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 48.91/31.90 tff(8506,plain,
% 48.91/31.90 (nextState(constB68, constB69)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 48.91/31.90 tff(8507,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8508,plain,
% 48.91/31.90 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8509,plain,
% 48.91/31.90 (((~![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))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8508])).
% 48.91/31.90 tff(8510,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8509, 8507])).
% 48.91/31.90 tff(8511,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8512,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8511, 8510])).
% 48.91/31.90 tff(8513,plain,
% 48.91/31.90 (~v101(constB69)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8512, 90, 8506, 8503])).
% 48.91/31.90 tff(8514,plain,
% 48.91/31.90 (((~![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)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8515,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8516,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8515, 8514])).
% 48.91/31.90 tff(8517,plain,
% 48.91/31.90 (v101(constB69) | (~v100(constB69))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8516, 107, 8506])).
% 48.91/31.90 tff(8518,plain,
% 48.91/31.90 (~v100(constB69)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8517, 8513])).
% 48.91/31.90 tff(8519,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8520,plain,
% 48.91/31.90 (((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)) <=> ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8521,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8520])).
% 48.91/31.90 tff(8522,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8521, 8519])).
% 48.91/31.90 tff(8523,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8524,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 48.91/31.90 tff(8525,plain,
% 48.91/31.90 ((~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8524, 1394, 8506])).
% 48.91/31.90 tff(8526,plain,
% 48.91/31.90 ((~v90(constB68, 2)) | v90(constB69, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8525, 8518])).
% 48.91/31.90 tff(8527,plain,
% 48.91/31.90 (v90(constB69, 2)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8526, 8500])).
% 48.91/31.90 tff(8528,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8529,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8530,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 48.91/31.90 tff(8531,plain,
% 48.91/31.90 (~v130(constB67, 1)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8530, 1410, 8397])).
% 48.91/31.90 tff(8532,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8533,plain,
% 48.91/31.90 ((v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1))) <=> ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8534,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8533])).
% 48.91/31.90 tff(8535,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8534, 8532])).
% 48.91/31.90 tff(8536,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8537,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8536, 8535])).
% 48.91/31.90 tff(8538,plain,
% 48.91/31.90 ((~v127(constB67, 1)) | v130(constB67, 1)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8537, 408, 8426])).
% 48.91/31.90 tff(8539,plain,
% 48.91/31.90 (~v127(constB67, 1)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8538, 8531])).
% 48.91/31.90 tff(8540,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8541,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8542,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8541, 8540])).
% 48.91/31.90 tff(8543,plain,
% 48.91/31.90 (v127(constB67, 1) | (~v129(constB68, 1))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8542, 438, 8444])).
% 48.91/31.90 tff(8544,plain,
% 48.91/31.90 (~v129(constB68, 1)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8543, 8539])).
% 48.91/31.90 tff(8545,plain,
% 48.91/31.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8546,plain,
% 48.91/31.90 (((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1)) <=> ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8547,plain,
% 48.91/31.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8546])).
% 48.91/31.90 tff(8548,plain,
% 48.91/31.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8547, 8545])).
% 48.91/31.90 tff(8549,plain,
% 48.91/31.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8550,plain,
% 48.91/31.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8549, 8548])).
% 48.91/31.90 tff(8551,plain,
% 48.91/31.90 ((~v90(constB68, 1)) | (~v100(constB68))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8550, 453, 8544])).
% 48.91/31.90 tff(8552,plain,
% 48.91/31.90 (~v90(constB68, 1)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8551, 8478])).
% 48.91/31.90 tff(8553,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8554,plain,
% 48.91/31.90 (((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))) <=> (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8555,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8554])).
% 48.91/31.90 tff(8556,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8555, 8553])).
% 48.91/31.90 tff(8557,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8558,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8557, 8556])).
% 48.91/31.90 tff(8559,plain,
% 48.91/31.90 (v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8558, 143, 8506])).
% 48.91/31.90 tff(8560,plain,
% 48.91/31.90 (v90(constB68, 1) | (~v90(constB69, 1))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8559, 8518])).
% 48.91/31.90 tff(8561,plain,
% 48.91/31.90 (~v90(constB69, 1)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8560, 8552])).
% 48.91/31.90 tff(8562,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8563,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8564,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8563, 8562])).
% 48.91/31.90 tff(8565,plain,
% 48.91/31.90 (~v130(constB67, 0)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8564, 1451, 8397])).
% 48.91/31.90 tff(8566,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8567,plain,
% 48.91/31.90 ((v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0))) <=> ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8568,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8567])).
% 48.91/31.90 tff(8569,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8568, 8566])).
% 48.91/31.90 tff(8570,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8571,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 48.91/31.90 tff(8572,plain,
% 48.91/31.90 ((~v127(constB67, 0)) | v130(constB67, 0)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8571, 930, 8426])).
% 48.91/31.90 tff(8573,plain,
% 48.91/31.90 (~v127(constB67, 0)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8572, 8565])).
% 48.91/31.90 tff(8574,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8575,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8576,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8575, 8574])).
% 48.91/31.90 tff(8577,plain,
% 48.91/31.90 (v127(constB67, 0) | (~v129(constB68, 0))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8576, 948, 8444])).
% 48.91/31.90 tff(8578,plain,
% 48.91/31.90 (~v129(constB68, 0)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8577, 8573])).
% 48.91/31.90 tff(8579,plain,
% 48.91/31.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8580,plain,
% 48.91/31.90 (((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0)) <=> ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8581,plain,
% 48.91/31.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8580])).
% 48.91/31.90 tff(8582,plain,
% 48.91/31.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8581, 8579])).
% 48.91/31.90 tff(8583,plain,
% 48.91/31.90 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8584,plain,
% 48.91/31.90 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8583, 8582])).
% 48.91/31.90 tff(8585,plain,
% 48.91/31.90 ((~v90(constB68, 0)) | (~v100(constB68))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8584, 963, 8578])).
% 48.91/31.90 tff(8586,plain,
% 48.91/31.90 (~v90(constB68, 0)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8585, 8478])).
% 48.91/31.90 tff(8587,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8588,plain,
% 48.91/31.90 (((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))) <=> (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8589,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))))),
% 48.91/31.90 inference(monotonicity,[status(thm)],[8588])).
% 48.91/31.90 tff(8590,plain,
% 48.91/31.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 48.91/31.90 inference(transitivity,[status(thm)],[8589, 8587])).
% 48.91/31.90 tff(8591,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8592,plain,
% 48.91/31.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8591, 8590])).
% 48.91/31.90 tff(8593,plain,
% 48.91/31.90 (v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8592, 164, 8506])).
% 48.91/31.90 tff(8594,plain,
% 48.91/31.90 (v90(constB68, 0) | (~v90(constB69, 0))),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8593, 8518])).
% 48.91/31.90 tff(8595,plain,
% 48.91/31.90 (~v90(constB69, 0)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8594, 8586])).
% 48.91/31.90 tff(8596,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 48.91/31.90 inference(rewrite,[status(thm)],[])).
% 48.91/31.90 tff(8597,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 48.91/31.90 inference(quant_inst,[status(thm)],[])).
% 48.91/31.90 tff(8598,plain,
% 48.91/31.90 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69)),
% 48.91/31.90 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 48.91/31.90 tff(8599,plain,
% 48.91/31.90 (v123(constB69)),
% 48.91/31.90 inference(unit_resolution,[status(thm)],[8598, 1495, 8595, 8561, 8527])).
% 48.91/31.90 tff(8600,plain,
% 48.91/31.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB69) | (~v123(constB69)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB69) | (~v123(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8601,plain,
% 48.91/31.91 (((~v123(constB69)) | v115(constB69)) <=> (v115(constB69) | (~v123(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8602,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB69) | (~v123(constB69))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8601])).
% 48.91/31.91 tff(8603,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB69) | (~v123(constB69)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8602, 8600])).
% 48.91/31.91 tff(8604,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8605,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB69) | (~v123(constB69))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 48.91/31.91 tff(8606,plain,
% 48.91/31.91 (v115(constB69)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8605, 1506, 8599])).
% 48.91/31.91 tff(8607,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8608,plain,
% 48.91/31.91 (((~v115(constB69)) | v114(constB69)) <=> (v114(constB69) | (~v115(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8609,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8608])).
% 48.91/31.91 tff(8610,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8609, 8607])).
% 48.91/31.91 tff(8611,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8612,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8611, 8610])).
% 48.91/31.91 tff(8613,plain,
% 48.91/31.91 (v114(constB69)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8612, 252, 8606])).
% 48.91/31.91 tff(8614,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB69)) | v113(constB69))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8615,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8616,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB69)) | v113(constB69)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 48.91/31.91 tff(8617,plain,
% 48.91/31.91 (v113(constB69)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8616, 266, 8613])).
% 48.91/31.91 tff(8618,assumption,(v26(constB69)), introduced(assumption)).
% 48.91/31.91 tff(8619,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8620,plain,
% 48.91/31.91 ($false),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8619, 43, 8618])).
% 48.91/31.91 tff(8621,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 48.91/31.91 tff(8622,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8623,plain,
% 48.91/31.91 ((v26(constB69) | (~v113(constB69)) | v112(constB69)) <=> (v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8624,plain,
% 48.91/31.91 (((~![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) | v112(constB69) | (~v113(constB69))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8623])).
% 48.91/31.91 tff(8625,plain,
% 48.91/31.91 (((~![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) | v112(constB69) | (~v113(constB69)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8624, 8622])).
% 48.91/31.91 tff(8626,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8627,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 48.91/31.91 tff(8628,plain,
% 48.91/31.91 (v112(constB69) | (~v113(constB69))),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8627, 280, 8621])).
% 48.91/31.91 tff(8629,plain,
% 48.91/31.91 (v112(constB69)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8628, 8617])).
% 48.91/31.91 tff(8630,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8631,plain,
% 48.91/31.91 (((~v112(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v112(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8632,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8631])).
% 48.91/31.91 tff(8633,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8632, 8630])).
% 48.91/31.91 tff(8634,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8635,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 48.91/31.91 tff(8636,plain,
% 48.91/31.91 (v108(constB69)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8635, 292, 8629])).
% 48.91/31.91 tff(8637,plain,
% 48.91/31.91 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8638,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 48.91/31.91 tff(8639,plain,
% 48.91/31.91 (nextState(constB69, constB70)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 48.91/31.91 tff(8640,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8641,plain,
% 48.91/31.91 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8642,plain,
% 48.91/31.91 (((~![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))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8641])).
% 48.91/31.91 tff(8643,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8642, 8640])).
% 48.91/31.91 tff(8644,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8645,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 48.91/31.91 tff(8646,plain,
% 48.91/31.91 (v110(constB70) | (~v108(constB69))),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8645, 312, 8639])).
% 48.91/31.91 tff(8647,plain,
% 48.91/31.91 (v110(constB70)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8646, 8636])).
% 48.91/31.91 tff(8648,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8649,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8650,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8649, 8648])).
% 48.91/31.91 tff(8651,plain,
% 48.91/31.91 (~v104(constB70)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8650, 330, 8639, 8503])).
% 48.91/31.91 tff(8652,plain,
% 48.91/31.91 (((~![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)) | v102(constB70) | v104(constB70))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8653,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8654,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8653, 8652])).
% 48.91/31.91 tff(8655,plain,
% 48.91/31.91 (v102(constB70) | v104(constB70)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8654, 344, 8639])).
% 48.91/31.91 tff(8656,plain,
% 48.91/31.91 (v102(constB70)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8655, 8651])).
% 48.91/31.91 tff(8657,plain,
% 48.91/31.91 (v1(constB70) <=> v1(constB70)),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8658,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 48.91/31.91 tff(8659,plain,
% 48.91/31.91 (v1(constB70)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8658, 8657])).
% 48.91/31.91 tff(8660,plain,
% 48.91/31.91 (((~![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)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8661,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8662,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 48.91/31.91 tff(8663,plain,
% 48.91/31.91 (v101(constB70) | (~v102(constB70))),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8662, 362, 8639, 8659])).
% 48.91/31.91 tff(8664,plain,
% 48.91/31.91 (v101(constB70)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8663, 8656])).
% 48.91/31.91 tff(8665,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8666,plain,
% 48.91/31.91 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8667,plain,
% 48.91/31.91 (((~![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))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8666])).
% 48.91/31.91 tff(8668,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8667, 8665])).
% 48.91/31.91 tff(8669,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8670,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8669, 8668])).
% 48.91/31.91 tff(8671,plain,
% 48.91/31.91 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8670, 377, 8639])).
% 48.91/31.91 tff(8672,plain,
% 48.91/31.91 (v100(constB70) | (~v110(constB70))),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8671, 8664])).
% 48.91/31.91 tff(8673,plain,
% 48.91/31.91 (v100(constB70)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8672, 8647])).
% 48.91/31.91 tff(8674,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8675,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8676,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8675, 8674])).
% 48.91/31.91 tff(8677,plain,
% 48.91/31.91 (v130(constB69, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8676, 1580, 8599])).
% 48.91/31.91 tff(8678,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8679,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8680,plain,
% 48.91/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8679, 8678])).
% 48.91/31.91 tff(8681,plain,
% 48.91/31.91 ((~v130(constB69, 2)) | v127(constB69, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8680, 1328, 8621])).
% 48.91/31.91 tff(8682,plain,
% 48.91/31.91 (v127(constB69, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8681, 8677])).
% 48.91/31.91 tff(8683,plain,
% 48.91/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8684,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8685,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8684, 8683])).
% 48.91/31.91 tff(8686,plain,
% 48.91/31.91 ((~v127(constB69, 2)) | v129(constB70, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8685, 1343, 8639])).
% 48.91/31.91 tff(8687,plain,
% 48.91/31.91 (v129(constB70, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8686, 8682])).
% 48.91/31.91 tff(8688,plain,
% 48.91/31.91 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8689,plain,
% 48.91/31.91 ((v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2))) <=> (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8690,plain,
% 48.91/31.91 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8689])).
% 48.91/31.91 tff(8691,plain,
% 48.91/31.91 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8690, 8688])).
% 48.91/31.91 tff(8692,plain,
% 48.91/31.91 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8693,plain,
% 48.91/31.91 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8692, 8691])).
% 48.91/31.91 tff(8694,plain,
% 48.91/31.91 (v90(constB70, 2) | (~v100(constB70))),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8693, 1358, 8687])).
% 48.91/31.91 tff(8695,plain,
% 48.91/31.91 (v90(constB70, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8694, 8673])).
% 48.91/31.91 tff(8696,plain,
% 48.91/31.91 ((~v1(constB71)) <=> (~v1(constB71))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8697,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 48.91/31.91 tff(8698,plain,
% 48.91/31.91 (~v1(constB71)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8697, 8696])).
% 48.91/31.91 tff(8699,plain,
% 48.91/31.91 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8700,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 48.91/31.91 tff(8701,plain,
% 48.91/31.91 (nextState(constB70, constB71)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8700, 8699])).
% 48.91/31.91 tff(8702,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8703,plain,
% 48.91/31.91 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8704,plain,
% 48.91/31.91 (((~![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))))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8703])).
% 48.91/31.91 tff(8705,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8704, 8702])).
% 48.91/31.91 tff(8706,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8707,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 48.91/31.91 tff(8708,plain,
% 48.91/31.91 (~v101(constB71)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8707, 90, 8701, 8698])).
% 48.91/31.91 tff(8709,plain,
% 48.91/31.91 (((~![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)))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8710,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8711,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 48.91/31.91 tff(8712,plain,
% 48.91/31.91 (v101(constB71) | (~v100(constB71))),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8711, 107, 8701])).
% 48.91/31.91 tff(8713,plain,
% 48.91/31.91 (~v100(constB71)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8712, 8708])).
% 48.91/31.91 tff(8714,plain,
% 48.91/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8715,plain,
% 48.91/31.91 (((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)) <=> ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 48.91/31.91 inference(rewrite,[status(thm)],[])).
% 48.91/31.91 tff(8716,plain,
% 48.91/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)))),
% 48.91/31.91 inference(monotonicity,[status(thm)],[8715])).
% 48.91/31.91 tff(8717,plain,
% 48.91/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 48.91/31.91 inference(transitivity,[status(thm)],[8716, 8714])).
% 48.91/31.91 tff(8718,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))),
% 48.91/31.91 inference(quant_inst,[status(thm)],[])).
% 48.91/31.91 tff(8719,plain,
% 48.91/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)),
% 48.91/31.91 inference(modus_ponens,[status(thm)],[8718, 8717])).
% 48.91/31.91 tff(8720,plain,
% 48.91/31.91 ((~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8719, 1394, 8701])).
% 48.91/31.91 tff(8721,plain,
% 48.91/31.91 ((~v90(constB70, 2)) | v90(constB71, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8720, 8713])).
% 48.91/31.91 tff(8722,plain,
% 48.91/31.91 (v90(constB71, 2)),
% 48.91/31.91 inference(unit_resolution,[status(thm)],[8721, 8695])).
% 48.91/31.91 tff(8723,plain,
% 48.91/31.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1)))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8724,plain,
% 48.99/31.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))),
% 48.99/31.91 inference(quant_inst,[status(thm)],[])).
% 48.99/31.91 tff(8725,plain,
% 48.99/31.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1))),
% 48.99/31.91 inference(modus_ponens,[status(thm)],[8724, 8723])).
% 48.99/31.91 tff(8726,plain,
% 48.99/31.91 (~v130(constB69, 1)),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8725, 1636, 8599])).
% 48.99/31.91 tff(8727,plain,
% 48.99/31.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8728,plain,
% 48.99/31.91 ((v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1))) <=> ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8729,plain,
% 48.99/31.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)))),
% 48.99/31.91 inference(monotonicity,[status(thm)],[8728])).
% 48.99/31.91 tff(8730,plain,
% 48.99/31.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 48.99/31.91 inference(transitivity,[status(thm)],[8729, 8727])).
% 48.99/31.91 tff(8731,plain,
% 48.99/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))),
% 48.99/31.91 inference(quant_inst,[status(thm)],[])).
% 48.99/31.91 tff(8732,plain,
% 48.99/31.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)),
% 48.99/31.91 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 48.99/31.91 tff(8733,plain,
% 48.99/31.91 ((~v127(constB69, 1)) | v130(constB69, 1)),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8732, 408, 8621])).
% 48.99/31.91 tff(8734,plain,
% 48.99/31.91 (~v127(constB69, 1)),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8733, 8726])).
% 48.99/31.91 tff(8735,plain,
% 48.99/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8736,plain,
% 48.99/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 48.99/31.91 inference(quant_inst,[status(thm)],[])).
% 48.99/31.91 tff(8737,plain,
% 48.99/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1))),
% 48.99/31.91 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 48.99/31.91 tff(8738,plain,
% 48.99/31.91 (v127(constB69, 1) | (~v129(constB70, 1))),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8737, 438, 8639])).
% 48.99/31.91 tff(8739,plain,
% 48.99/31.91 (~v129(constB70, 1)),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8738, 8734])).
% 48.99/31.91 tff(8740,plain,
% 48.99/31.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8741,plain,
% 48.99/31.91 (((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1)) <=> ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8742,plain,
% 48.99/31.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))))),
% 48.99/31.91 inference(monotonicity,[status(thm)],[8741])).
% 48.99/31.91 tff(8743,plain,
% 48.99/31.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 48.99/31.91 inference(transitivity,[status(thm)],[8742, 8740])).
% 48.99/31.91 tff(8744,plain,
% 48.99/31.91 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))),
% 48.99/31.91 inference(quant_inst,[status(thm)],[])).
% 48.99/31.91 tff(8745,plain,
% 48.99/31.91 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))),
% 48.99/31.91 inference(modus_ponens,[status(thm)],[8744, 8743])).
% 48.99/31.91 tff(8746,plain,
% 48.99/31.91 ((~v90(constB70, 1)) | (~v100(constB70))),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8745, 453, 8739])).
% 48.99/31.91 tff(8747,plain,
% 48.99/31.91 (~v90(constB70, 1)),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8746, 8673])).
% 48.99/31.91 tff(8748,plain,
% 48.99/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8749,plain,
% 48.99/31.91 (((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))) <=> (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8750,plain,
% 48.99/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))))),
% 48.99/31.91 inference(monotonicity,[status(thm)],[8749])).
% 48.99/31.91 tff(8751,plain,
% 48.99/31.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 48.99/31.91 inference(transitivity,[status(thm)],[8750, 8748])).
% 48.99/31.91 tff(8752,plain,
% 48.99/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))),
% 48.99/31.91 inference(quant_inst,[status(thm)],[])).
% 48.99/31.91 tff(8753,plain,
% 48.99/31.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))),
% 48.99/31.91 inference(modus_ponens,[status(thm)],[8752, 8751])).
% 48.99/31.91 tff(8754,plain,
% 48.99/31.91 (v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8753, 143, 8701])).
% 48.99/31.91 tff(8755,plain,
% 48.99/31.91 (v90(constB70, 1) | (~v90(constB71, 1))),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8754, 8713])).
% 48.99/31.91 tff(8756,plain,
% 48.99/31.91 (~v90(constB71, 1)),
% 48.99/31.91 inference(unit_resolution,[status(thm)],[8755, 8747])).
% 48.99/31.91 tff(8757,plain,
% 48.99/31.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0))),
% 48.99/31.91 inference(rewrite,[status(thm)],[])).
% 48.99/31.91 tff(8758,plain,
% 48.99/31.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))),
% 48.99/31.91 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8759,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 48.99/31.92 tff(8760,plain,
% 48.99/31.92 (v130(constB69, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8759, 1677, 8599])).
% 48.99/31.92 tff(8761,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8762,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8763,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8762, 8761])).
% 48.99/31.92 tff(8764,plain,
% 48.99/31.92 ((~v130(constB69, 0)) | v127(constB69, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8763, 515, 8621])).
% 48.99/31.92 tff(8765,plain,
% 48.99/31.92 (v127(constB69, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8764, 8760])).
% 48.99/31.92 tff(8766,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8767,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8768,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 48.99/31.92 tff(8769,plain,
% 48.99/31.92 ((~v127(constB69, 0)) | v129(constB70, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8768, 530, 8639])).
% 48.99/31.92 tff(8770,plain,
% 48.99/31.92 (v129(constB70, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8769, 8765])).
% 48.99/31.92 tff(8771,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8772,plain,
% 48.99/31.92 ((v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0))) <=> (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8773,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8772])).
% 48.99/31.92 tff(8774,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8773, 8771])).
% 48.99/31.92 tff(8775,plain,
% 48.99/31.92 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8776,plain,
% 48.99/31.92 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8775, 8774])).
% 48.99/31.92 tff(8777,plain,
% 48.99/31.92 (v90(constB70, 0) | (~v100(constB70))),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8776, 545, 8770])).
% 48.99/31.92 tff(8778,plain,
% 48.99/31.92 (v90(constB70, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8777, 8673])).
% 48.99/31.92 tff(8779,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8780,plain,
% 48.99/31.92 (((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)) <=> ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8781,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8780])).
% 48.99/31.92 tff(8782,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8781, 8779])).
% 48.99/31.92 tff(8783,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8784,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 48.99/31.92 tff(8785,plain,
% 48.99/31.92 ((~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8784, 563, 8701])).
% 48.99/31.92 tff(8786,plain,
% 48.99/31.92 ((~v90(constB70, 0)) | v90(constB71, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8785, 8713])).
% 48.99/31.92 tff(8787,plain,
% 48.99/31.92 (v90(constB71, 0)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8786, 8778])).
% 48.99/31.92 tff(8788,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8789,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8790,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 48.99/31.92 tff(8791,plain,
% 48.99/31.92 (v124(constB71)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8790, 1718, 8787, 8756, 8722])).
% 48.99/31.92 tff(8792,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8793,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8794,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 48.99/31.92 tff(8795,plain,
% 48.99/31.92 (v114(constB71)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8794, 1775, 8791])).
% 48.99/31.92 tff(8796,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB71)) | v113(constB71))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8797,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8798,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB71)) | v113(constB71)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 48.99/31.92 tff(8799,plain,
% 48.99/31.92 (v113(constB71)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8798, 266, 8795])).
% 48.99/31.92 tff(8800,assumption,(~v108(constB71)), introduced(assumption)).
% 48.99/31.92 tff(8801,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8802,plain,
% 48.99/31.92 (((~v112(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v112(constB71)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8803,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8802])).
% 48.99/31.92 tff(8804,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8803, 8801])).
% 48.99/31.92 tff(8805,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8806,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 48.99/31.92 tff(8807,plain,
% 48.99/31.92 (~v112(constB71)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8806, 292, 8800])).
% 48.99/31.92 tff(8808,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v26(constB71)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v26(constB71)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8809,plain,
% 48.99/31.92 (((~v26(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v26(constB71)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8810,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v26(constB71))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8809])).
% 48.99/31.92 tff(8811,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v26(constB71)))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8810, 8808])).
% 48.99/31.92 tff(8812,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB71)) | v108(constB71))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8813,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v26(constB71))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 48.99/31.92 tff(8814,plain,
% 48.99/31.92 (~v26(constB71)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8813, 1761, 8800])).
% 48.99/31.92 tff(8815,assumption,(v113(constB71)), introduced(assumption)).
% 48.99/31.92 tff(8816,plain,
% 48.99/31.92 (((~![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))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8817,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8818,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 48.99/31.92 tff(8819,plain,
% 48.99/31.92 (v26(constB71) | v112(constB71)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8818, 280, 8815])).
% 48.99/31.92 tff(8820,plain,
% 48.99/31.92 ($false),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8819, 8814, 8807])).
% 48.99/31.92 tff(8821,plain,(v108(constB71) | (~v113(constB71))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.92 tff(8822,plain,
% 48.99/31.92 (v108(constB71)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8821, 8799])).
% 48.99/31.92 tff(8823,plain,
% 48.99/31.92 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8824,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 48.99/31.92 tff(8825,plain,
% 48.99/31.92 (nextState(constB71, constB72)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8824, 8823])).
% 48.99/31.92 tff(8826,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8827,plain,
% 48.99/31.92 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8828,plain,
% 48.99/31.92 (((~![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))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8827])).
% 48.99/31.92 tff(8829,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8828, 8826])).
% 48.99/31.92 tff(8830,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8831,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8830, 8829])).
% 48.99/31.92 tff(8832,plain,
% 48.99/31.92 (v110(constB72) | (~v108(constB71))),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8831, 312, 8825])).
% 48.99/31.92 tff(8833,plain,
% 48.99/31.92 (v110(constB72)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8832, 8822])).
% 48.99/31.92 tff(8834,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8835,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8836,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8835, 8834])).
% 48.99/31.92 tff(8837,plain,
% 48.99/31.92 (~v104(constB72)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8836, 330, 8825, 8698])).
% 48.99/31.92 tff(8838,plain,
% 48.99/31.92 (((~![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)) | v102(constB72) | v104(constB72))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8839,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8840,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8839, 8838])).
% 48.99/31.92 tff(8841,plain,
% 48.99/31.92 (v102(constB72) | v104(constB72)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8840, 344, 8825])).
% 48.99/31.92 tff(8842,plain,
% 48.99/31.92 (v102(constB72)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8841, 8837])).
% 48.99/31.92 tff(8843,plain,
% 48.99/31.92 (v1(constB72) <=> v1(constB72)),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8844,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 48.99/31.92 tff(8845,plain,
% 48.99/31.92 (v1(constB72)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 48.99/31.92 tff(8846,plain,
% 48.99/31.92 (((~![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)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8847,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8848,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8847, 8846])).
% 48.99/31.92 tff(8849,plain,
% 48.99/31.92 (v101(constB72) | (~v102(constB72))),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8848, 362, 8825, 8845])).
% 48.99/31.92 tff(8850,plain,
% 48.99/31.92 (v101(constB72)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8849, 8842])).
% 48.99/31.92 tff(8851,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8852,plain,
% 48.99/31.92 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8853,plain,
% 48.99/31.92 (((~![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))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8852])).
% 48.99/31.92 tff(8854,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8853, 8851])).
% 48.99/31.92 tff(8855,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8856,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8855, 8854])).
% 48.99/31.92 tff(8857,plain,
% 48.99/31.92 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8856, 377, 8825])).
% 48.99/31.92 tff(8858,plain,
% 48.99/31.92 (v100(constB72) | (~v110(constB72))),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8857, 8850])).
% 48.99/31.92 tff(8859,plain,
% 48.99/31.92 (v100(constB72)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8858, 8833])).
% 48.99/31.92 tff(8860,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8861,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8862,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 48.99/31.92 tff(8863,plain,
% 48.99/31.92 (v130(constB71, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8862, 1729, 8791])).
% 48.99/31.92 tff(8864,assumption,(v26(constB71)), introduced(assumption)).
% 48.99/31.92 tff(8865,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8866,plain,
% 48.99/31.92 ($false),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8865, 43, 8864])).
% 48.99/31.92 tff(8867,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.92 tff(8868,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8869,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8870,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8869, 8868])).
% 48.99/31.92 tff(8871,plain,
% 48.99/31.92 ((~v130(constB71, 2)) | v127(constB71, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8870, 1328, 8867])).
% 48.99/31.92 tff(8872,plain,
% 48.99/31.92 (v127(constB71, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8871, 8863])).
% 48.99/31.92 tff(8873,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8874,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8875,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 48.99/31.92 tff(8876,plain,
% 48.99/31.92 ((~v127(constB71, 2)) | v129(constB72, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8875, 1343, 8825])).
% 48.99/31.92 tff(8877,plain,
% 48.99/31.92 (v129(constB72, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8876, 8872])).
% 48.99/31.92 tff(8878,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8879,plain,
% 48.99/31.92 ((v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2))) <=> (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8880,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8879])).
% 48.99/31.92 tff(8881,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8880, 8878])).
% 48.99/31.92 tff(8882,plain,
% 48.99/31.92 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8883,plain,
% 48.99/31.92 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8882, 8881])).
% 48.99/31.92 tff(8884,plain,
% 48.99/31.92 (v90(constB72, 2) | (~v100(constB72))),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8883, 1358, 8877])).
% 48.99/31.92 tff(8885,plain,
% 48.99/31.92 (v90(constB72, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8884, 8859])).
% 48.99/31.92 tff(8886,plain,
% 48.99/31.92 ((~v1(constB73)) <=> (~v1(constB73))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8887,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 48.99/31.92 tff(8888,plain,
% 48.99/31.92 (~v1(constB73)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 48.99/31.92 tff(8889,plain,
% 48.99/31.92 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8890,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 48.99/31.92 tff(8891,plain,
% 48.99/31.92 (nextState(constB72, constB73)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8890, 8889])).
% 48.99/31.92 tff(8892,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8893,plain,
% 48.99/31.92 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8894,plain,
% 48.99/31.92 (((~![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))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8893])).
% 48.99/31.92 tff(8895,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8894, 8892])).
% 48.99/31.92 tff(8896,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8897,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 48.99/31.92 tff(8898,plain,
% 48.99/31.92 (~v101(constB73)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8897, 90, 8891, 8888])).
% 48.99/31.92 tff(8899,plain,
% 48.99/31.92 (((~![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)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8900,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8901,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 48.99/31.92 tff(8902,plain,
% 48.99/31.92 (v101(constB73) | (~v100(constB73))),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8901, 107, 8891])).
% 48.99/31.92 tff(8903,plain,
% 48.99/31.92 (~v100(constB73)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8902, 8898])).
% 48.99/31.92 tff(8904,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8905,plain,
% 48.99/31.92 (((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)) <=> ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8906,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8905])).
% 48.99/31.92 tff(8907,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 48.99/31.92 inference(transitivity,[status(thm)],[8906, 8904])).
% 48.99/31.92 tff(8908,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8909,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 48.99/31.92 tff(8910,plain,
% 48.99/31.92 ((~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8909, 1394, 8891])).
% 48.99/31.92 tff(8911,plain,
% 48.99/31.92 ((~v90(constB72, 2)) | v90(constB73, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8910, 8903])).
% 48.99/31.92 tff(8912,plain,
% 48.99/31.92 (v90(constB73, 2)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8911, 8885])).
% 48.99/31.92 tff(8913,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8914,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8915,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 48.99/31.92 tff(8916,plain,
% 48.99/31.92 (v130(constB71, 1)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8915, 1871, 8791])).
% 48.99/31.92 tff(8917,plain,
% 48.99/31.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8918,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8919,plain,
% 48.99/31.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8918, 8917])).
% 48.99/31.92 tff(8920,plain,
% 48.99/31.92 ((~v130(constB71, 1)) | v127(constB71, 1)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8919, 852, 8867])).
% 48.99/31.92 tff(8921,plain,
% 48.99/31.92 (v127(constB71, 1)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8920, 8916])).
% 48.99/31.92 tff(8922,plain,
% 48.99/31.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8923,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 48.99/31.92 inference(quant_inst,[status(thm)],[])).
% 48.99/31.92 tff(8924,plain,
% 48.99/31.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1)),
% 48.99/31.92 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 48.99/31.92 tff(8925,plain,
% 48.99/31.92 ((~v127(constB71, 1)) | v129(constB72, 1)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8924, 867, 8825])).
% 48.99/31.92 tff(8926,plain,
% 48.99/31.92 (v129(constB72, 1)),
% 48.99/31.92 inference(unit_resolution,[status(thm)],[8925, 8921])).
% 48.99/31.92 tff(8927,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8928,plain,
% 48.99/31.92 ((v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1))) <=> (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 48.99/31.92 inference(rewrite,[status(thm)],[])).
% 48.99/31.92 tff(8929,plain,
% 48.99/31.92 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))))),
% 48.99/31.92 inference(monotonicity,[status(thm)],[8928])).
% 48.99/31.93 tff(8930,plain,
% 48.99/31.93 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[8929, 8927])).
% 48.99/31.93 tff(8931,plain,
% 48.99/31.93 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8932,plain,
% 48.99/31.93 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 48.99/31.93 tff(8933,plain,
% 48.99/31.93 (v90(constB72, 1) | (~v100(constB72))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8932, 882, 8926])).
% 48.99/31.93 tff(8934,plain,
% 48.99/31.93 (v90(constB72, 1)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8933, 8859])).
% 48.99/31.93 tff(8935,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8936,plain,
% 48.99/31.93 (((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)) <=> ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8937,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[8936])).
% 48.99/31.93 tff(8938,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 48.99/31.93 inference(transitivity,[status(thm)],[8937, 8935])).
% 48.99/31.93 tff(8939,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8940,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 48.99/31.93 tff(8941,plain,
% 48.99/31.93 ((~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8940, 900, 8891])).
% 48.99/31.93 tff(8942,plain,
% 48.99/31.93 ((~v90(constB72, 1)) | v90(constB73, 1)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8941, 8903])).
% 48.99/31.93 tff(8943,plain,
% 48.99/31.93 (v90(constB73, 1)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8942, 8934])).
% 48.99/31.93 tff(8944,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8945,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8946,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 48.99/31.93 tff(8947,plain,
% 48.99/31.93 (~v130(constB71, 0)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8946, 1909, 8791])).
% 48.99/31.93 tff(8948,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8949,plain,
% 48.99/31.93 ((v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0))) <=> ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8950,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[8949])).
% 48.99/31.93 tff(8951,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 48.99/31.93 inference(transitivity,[status(thm)],[8950, 8948])).
% 48.99/31.93 tff(8952,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8953,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 48.99/31.93 tff(8954,plain,
% 48.99/31.93 ((~v127(constB71, 0)) | v130(constB71, 0)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8953, 930, 8867])).
% 48.99/31.93 tff(8955,plain,
% 48.99/31.93 (~v127(constB71, 0)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8954, 8947])).
% 48.99/31.93 tff(8956,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8957,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8958,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8957, 8956])).
% 48.99/31.93 tff(8959,plain,
% 48.99/31.93 (v127(constB71, 0) | (~v129(constB72, 0))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8958, 948, 8825])).
% 48.99/31.93 tff(8960,plain,
% 48.99/31.93 (~v129(constB72, 0)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8959, 8955])).
% 48.99/31.93 tff(8961,plain,
% 48.99/31.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8962,plain,
% 48.99/31.93 (((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0)) <=> ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8963,plain,
% 48.99/31.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[8962])).
% 48.99/31.93 tff(8964,plain,
% 48.99/31.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[8963, 8961])).
% 48.99/31.93 tff(8965,plain,
% 48.99/31.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8966,plain,
% 48.99/31.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 48.99/31.93 tff(8967,plain,
% 48.99/31.93 ((~v90(constB72, 0)) | (~v100(constB72))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8966, 963, 8960])).
% 48.99/31.93 tff(8968,plain,
% 48.99/31.93 (~v90(constB72, 0)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8967, 8859])).
% 48.99/31.93 tff(8969,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8970,plain,
% 48.99/31.93 (((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))) <=> (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8971,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[8970])).
% 48.99/31.93 tff(8972,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[8971, 8969])).
% 48.99/31.93 tff(8973,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8974,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 48.99/31.93 tff(8975,plain,
% 48.99/31.93 (v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8974, 164, 8891])).
% 48.99/31.93 tff(8976,plain,
% 48.99/31.93 (v90(constB72, 0) | (~v90(constB73, 0))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8975, 8903])).
% 48.99/31.93 tff(8977,plain,
% 48.99/31.93 (~v90(constB73, 0)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8976, 8968])).
% 48.99/31.93 tff(8978,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8979,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8980,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 48.99/31.93 tff(8981,plain,
% 48.99/31.93 (v125(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8980, 1953, 8977, 8943, 8912])).
% 48.99/31.93 tff(8982,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8983,plain,
% 48.99/31.93 (((~v125(constB73)) | v113(constB73)) <=> (v113(constB73) | (~v125(constB73)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8984,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[8983])).
% 48.99/31.93 tff(8985,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[8984, 8982])).
% 48.99/31.93 tff(8986,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8987,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 48.99/31.93 tff(8988,plain,
% 48.99/31.93 (v113(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8987, 1964, 8981])).
% 48.99/31.93 tff(8989,assumption,(v26(constB73)), introduced(assumption)).
% 48.99/31.93 tff(8990,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8991,plain,
% 48.99/31.93 ($false),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8990, 43, 8989])).
% 48.99/31.93 tff(8992,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.93 tff(8993,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8994,plain,
% 48.99/31.93 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(8995,plain,
% 48.99/31.93 (((~![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))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[8994])).
% 48.99/31.93 tff(8996,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[8995, 8993])).
% 48.99/31.93 tff(8997,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(8998,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[8997, 8996])).
% 48.99/31.93 tff(8999,plain,
% 48.99/31.93 (v112(constB73) | (~v113(constB73))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8998, 280, 8992])).
% 48.99/31.93 tff(9000,plain,
% 48.99/31.93 (v112(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[8999, 8988])).
% 48.99/31.93 tff(9001,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9002,plain,
% 48.99/31.93 (((~v112(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v112(constB73)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9003,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[9002])).
% 48.99/31.93 tff(9004,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[9003, 9001])).
% 48.99/31.93 tff(9005,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9006,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9005, 9004])).
% 48.99/31.93 tff(9007,plain,
% 48.99/31.93 (v108(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9006, 292, 9000])).
% 48.99/31.93 tff(9008,plain,
% 48.99/31.93 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9009,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 48.99/31.93 tff(9010,plain,
% 48.99/31.93 (nextState(constB73, constB74)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9009, 9008])).
% 48.99/31.93 tff(9011,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9012,plain,
% 48.99/31.93 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9013,plain,
% 48.99/31.93 (((~![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))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[9012])).
% 48.99/31.93 tff(9014,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[9013, 9011])).
% 48.99/31.93 tff(9015,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9016,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9015, 9014])).
% 48.99/31.93 tff(9017,plain,
% 48.99/31.93 (v110(constB74) | (~v108(constB73))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9016, 312, 9010])).
% 48.99/31.93 tff(9018,plain,
% 48.99/31.93 (v110(constB74)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9017, 9007])).
% 48.99/31.93 tff(9019,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9020,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9021,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 48.99/31.93 tff(9022,plain,
% 48.99/31.93 (~v104(constB74)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9021, 330, 9010, 8888])).
% 48.99/31.93 tff(9023,plain,
% 48.99/31.93 (((~![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)) | v102(constB74) | v104(constB74))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9024,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9025,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 48.99/31.93 tff(9026,plain,
% 48.99/31.93 (v102(constB74) | v104(constB74)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9025, 344, 9010])).
% 48.99/31.93 tff(9027,plain,
% 48.99/31.93 (v102(constB74)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9026, 9022])).
% 48.99/31.93 tff(9028,plain,
% 48.99/31.93 (v1(constB74) <=> v1(constB74)),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9029,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 48.99/31.93 tff(9030,plain,
% 48.99/31.93 (v1(constB74)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 48.99/31.93 tff(9031,plain,
% 48.99/31.93 (((~![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)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9032,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9033,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 48.99/31.93 tff(9034,plain,
% 48.99/31.93 (v101(constB74) | (~v102(constB74))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9033, 362, 9010, 9030])).
% 48.99/31.93 tff(9035,plain,
% 48.99/31.93 (v101(constB74)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9034, 9027])).
% 48.99/31.93 tff(9036,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9037,plain,
% 48.99/31.93 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9038,plain,
% 48.99/31.93 (((~![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))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[9037])).
% 48.99/31.93 tff(9039,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(transitivity,[status(thm)],[9038, 9036])).
% 48.99/31.93 tff(9040,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9041,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 48.99/31.93 tff(9042,plain,
% 48.99/31.93 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9041, 377, 9010])).
% 48.99/31.93 tff(9043,plain,
% 48.99/31.93 (v100(constB74) | (~v110(constB74))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9042, 9035])).
% 48.99/31.93 tff(9044,plain,
% 48.99/31.93 (v100(constB74)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9043, 9018])).
% 48.99/31.93 tff(9045,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9046,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9047,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 48.99/31.93 tff(9048,plain,
% 48.99/31.93 (~v121(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9047, 2028, 8912])).
% 48.99/31.93 tff(9049,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9050,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9051,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 48.99/31.93 tff(9052,plain,
% 48.99/31.93 (~v122(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9051, 2039, 8912])).
% 48.99/31.93 tff(9053,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9054,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9055,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 48.99/31.93 tff(9056,plain,
% 48.99/31.93 (~v119(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9055, 2050, 8943])).
% 48.99/31.93 tff(9057,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9058,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9059,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9058, 9057])).
% 48.99/31.93 tff(9060,plain,
% 48.99/31.93 (~v120(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9059, 2061, 8943])).
% 48.99/31.93 tff(9061,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9062,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9063,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 48.99/31.93 tff(9064,plain,
% 48.99/31.93 (~v123(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9063, 2072, 8943])).
% 48.99/31.93 tff(9065,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9066,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9067,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9066, 9065])).
% 48.99/31.93 tff(9068,plain,
% 48.99/31.93 (~v124(constB73)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9067, 2083, 8943])).
% 48.99/31.93 tff(9069,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9070,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9071,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 48.99/31.93 tff(9072,plain,
% 48.99/31.93 (~v130(constB73, 2)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9071, 2097, 9068, 9064, 9060, 9056, 9052, 9048])).
% 48.99/31.93 tff(9073,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9074,plain,
% 48.99/31.93 ((v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2))) <=> ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9075,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[9074])).
% 48.99/31.93 tff(9076,plain,
% 48.99/31.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 48.99/31.93 inference(transitivity,[status(thm)],[9075, 9073])).
% 48.99/31.93 tff(9077,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9078,plain,
% 48.99/31.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9077, 9076])).
% 48.99/31.93 tff(9079,plain,
% 48.99/31.93 ((~v127(constB73, 2)) | v130(constB73, 2)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9078, 593, 8992])).
% 48.99/31.93 tff(9080,plain,
% 48.99/31.93 (~v127(constB73, 2)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9079, 9072])).
% 48.99/31.93 tff(9081,plain,
% 48.99/31.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9082,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9083,plain,
% 48.99/31.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9082, 9081])).
% 48.99/31.93 tff(9084,plain,
% 48.99/31.93 (v127(constB73, 2) | (~v129(constB74, 2))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9083, 611, 9010])).
% 48.99/31.93 tff(9085,plain,
% 48.99/31.93 (~v129(constB74, 2)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9084, 9080])).
% 48.99/31.93 tff(9086,plain,
% 48.99/31.93 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9087,plain,
% 48.99/31.93 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 48.99/31.93 inference(quant_inst,[status(thm)],[])).
% 48.99/31.93 tff(9088,plain,
% 48.99/31.93 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74))),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 48.99/31.93 tff(9089,plain,
% 48.99/31.93 ((~v90(constB74, 2)) | (~v100(constB74))),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9088, 626, 9085])).
% 48.99/31.93 tff(9090,plain,
% 48.99/31.93 (~v90(constB74, 2)),
% 48.99/31.93 inference(unit_resolution,[status(thm)],[9089, 9044])).
% 48.99/31.93 tff(9091,plain,
% 48.99/31.93 ((~v1(constB75)) <=> (~v1(constB75))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9092,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 48.99/31.93 tff(9093,plain,
% 48.99/31.93 (~v1(constB75)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9092, 9091])).
% 48.99/31.93 tff(9094,plain,
% 48.99/31.93 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9095,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 48.99/31.93 tff(9096,plain,
% 48.99/31.93 (nextState(constB74, constB75)),
% 48.99/31.93 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 48.99/31.93 tff(9097,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9098,plain,
% 48.99/31.93 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 48.99/31.93 inference(rewrite,[status(thm)],[])).
% 48.99/31.93 tff(9099,plain,
% 48.99/31.93 (((~![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))))),
% 48.99/31.93 inference(monotonicity,[status(thm)],[9098])).
% 48.99/31.93 tff(9100,plain,
% 48.99/31.93 (((~![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)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9099, 9097])).
% 48.99/31.94 tff(9101,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9102,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 48.99/31.94 tff(9103,plain,
% 48.99/31.94 (~v101(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9102, 90, 9096, 9093])).
% 48.99/31.94 tff(9104,plain,
% 48.99/31.94 (((~![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)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9105,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9106,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9105, 9104])).
% 48.99/31.94 tff(9107,plain,
% 48.99/31.94 (v101(constB75) | (~v100(constB75))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9106, 107, 9096])).
% 48.99/31.94 tff(9108,plain,
% 48.99/31.94 (~v100(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9107, 9103])).
% 48.99/31.94 tff(9109,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9110,plain,
% 48.99/31.94 (((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))) <=> (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9111,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9110])).
% 48.99/31.94 tff(9112,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9111, 9109])).
% 48.99/31.94 tff(9113,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9114,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9113, 9112])).
% 48.99/31.94 tff(9115,plain,
% 48.99/31.94 (v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9114, 122, 9096])).
% 48.99/31.94 tff(9116,plain,
% 48.99/31.94 (v90(constB74, 2) | (~v90(constB75, 2))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9115, 9108])).
% 48.99/31.94 tff(9117,plain,
% 48.99/31.94 (~v90(constB75, 2)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9116, 9090])).
% 48.99/31.94 tff(9118,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9119,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9120,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 48.99/31.94 tff(9121,plain,
% 48.99/31.94 (~v130(constB73, 1)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9120, 2156, 9068, 9064, 9060, 9056, 9052, 9048])).
% 48.99/31.94 tff(9122,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9123,plain,
% 48.99/31.94 ((v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1))) <=> ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9124,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9123])).
% 48.99/31.94 tff(9125,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9124, 9122])).
% 48.99/31.94 tff(9126,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9127,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 48.99/31.94 tff(9128,plain,
% 48.99/31.94 ((~v127(constB73, 1)) | v130(constB73, 1)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9127, 408, 8992])).
% 48.99/31.94 tff(9129,plain,
% 48.99/31.94 (~v127(constB73, 1)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9128, 9121])).
% 48.99/31.94 tff(9130,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9131,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9132,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9131, 9130])).
% 48.99/31.94 tff(9133,plain,
% 48.99/31.94 (v127(constB73, 1) | (~v129(constB74, 1))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9132, 438, 9010])).
% 48.99/31.94 tff(9134,plain,
% 48.99/31.94 (~v129(constB74, 1)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9133, 9129])).
% 48.99/31.94 tff(9135,plain,
% 48.99/31.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9136,plain,
% 48.99/31.94 (((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1)) <=> ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9137,plain,
% 48.99/31.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9136])).
% 48.99/31.94 tff(9138,plain,
% 48.99/31.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9137, 9135])).
% 48.99/31.94 tff(9139,plain,
% 48.99/31.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9140,plain,
% 48.99/31.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9139, 9138])).
% 48.99/31.94 tff(9141,plain,
% 48.99/31.94 ((~v90(constB74, 1)) | (~v100(constB74))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9140, 453, 9134])).
% 48.99/31.94 tff(9142,plain,
% 48.99/31.94 (~v90(constB74, 1)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9141, 9044])).
% 48.99/31.94 tff(9143,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9144,plain,
% 48.99/31.94 (((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))) <=> (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9145,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9144])).
% 48.99/31.94 tff(9146,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9145, 9143])).
% 48.99/31.94 tff(9147,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9148,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 48.99/31.94 tff(9149,plain,
% 48.99/31.94 (v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9148, 143, 9096])).
% 48.99/31.94 tff(9150,plain,
% 48.99/31.94 (v90(constB74, 1) | (~v90(constB75, 1))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9149, 9108])).
% 48.99/31.94 tff(9151,plain,
% 48.99/31.94 (~v90(constB75, 1)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9150, 9142])).
% 48.99/31.94 tff(9152,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9153,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9154,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 48.99/31.94 tff(9155,plain,
% 48.99/31.94 (v130(constB73, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9154, 2200, 9068, 9064, 9060, 9056, 9052, 9048])).
% 48.99/31.94 tff(9156,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9157,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9158,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9157, 9156])).
% 48.99/31.94 tff(9159,plain,
% 48.99/31.94 ((~v130(constB73, 0)) | v127(constB73, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9158, 515, 8992])).
% 48.99/31.94 tff(9160,plain,
% 48.99/31.94 (v127(constB73, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9159, 9155])).
% 48.99/31.94 tff(9161,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9162,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9163,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9162, 9161])).
% 48.99/31.94 tff(9164,plain,
% 48.99/31.94 ((~v127(constB73, 0)) | v129(constB74, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9163, 530, 9010])).
% 48.99/31.94 tff(9165,plain,
% 48.99/31.94 (v129(constB74, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9164, 9160])).
% 48.99/31.94 tff(9166,plain,
% 48.99/31.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9167,plain,
% 48.99/31.94 ((v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0))) <=> (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9168,plain,
% 48.99/31.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9167])).
% 48.99/31.94 tff(9169,plain,
% 48.99/31.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9168, 9166])).
% 48.99/31.94 tff(9170,plain,
% 48.99/31.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9171,plain,
% 48.99/31.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 48.99/31.94 tff(9172,plain,
% 48.99/31.94 (v90(constB74, 0) | (~v100(constB74))),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9171, 545, 9165])).
% 48.99/31.94 tff(9173,plain,
% 48.99/31.94 (v90(constB74, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9172, 9044])).
% 48.99/31.94 tff(9174,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9175,plain,
% 48.99/31.94 (((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)) <=> ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9176,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9175])).
% 48.99/31.94 tff(9177,plain,
% 48.99/31.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9176, 9174])).
% 48.99/31.94 tff(9178,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9179,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 48.99/31.94 tff(9180,plain,
% 48.99/31.94 ((~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9179, 563, 9096])).
% 48.99/31.94 tff(9181,plain,
% 48.99/31.94 ((~v90(constB74, 0)) | v90(constB75, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9180, 9108])).
% 48.99/31.94 tff(9182,plain,
% 48.99/31.94 (v90(constB75, 0)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9181, 9173])).
% 48.99/31.94 tff(9183,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9184,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9185,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 48.99/31.94 tff(9186,plain,
% 48.99/31.94 (v120(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9185, 651, 9182, 9151, 9117])).
% 48.99/31.94 tff(9187,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9188,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9189,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9188, 9187])).
% 48.99/31.94 tff(9190,plain,
% 48.99/31.94 (v118(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9189, 665, 9186])).
% 48.99/31.94 tff(9191,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9192,plain,
% 48.99/31.94 (((~v118(constB75)) | v117(constB75)) <=> (v117(constB75) | (~v118(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9193,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9192])).
% 48.99/31.94 tff(9194,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9193, 9191])).
% 48.99/31.94 tff(9195,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9196,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9195, 9194])).
% 48.99/31.94 tff(9197,plain,
% 48.99/31.94 (v117(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9196, 210, 9190])).
% 48.99/31.94 tff(9198,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9199,plain,
% 48.99/31.94 (((~v117(constB75)) | v116(constB75)) <=> (v116(constB75) | (~v117(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9200,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9199])).
% 48.99/31.94 tff(9201,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9200, 9198])).
% 48.99/31.94 tff(9202,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9203,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 48.99/31.94 tff(9204,plain,
% 48.99/31.94 (v116(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9203, 224, 9197])).
% 48.99/31.94 tff(9205,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9206,plain,
% 48.99/31.94 (((~v116(constB75)) | v115(constB75)) <=> (v115(constB75) | (~v116(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9207,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9206])).
% 48.99/31.94 tff(9208,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9207, 9205])).
% 48.99/31.94 tff(9209,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9210,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 48.99/31.94 tff(9211,plain,
% 48.99/31.94 (v115(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9210, 238, 9204])).
% 48.99/31.94 tff(9212,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9213,plain,
% 48.99/31.94 (((~v115(constB75)) | v114(constB75)) <=> (v114(constB75) | (~v115(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9214,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9213])).
% 48.99/31.94 tff(9215,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9214, 9212])).
% 48.99/31.94 tff(9216,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9217,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 48.99/31.94 tff(9218,plain,
% 48.99/31.94 (v114(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9217, 252, 9211])).
% 48.99/31.94 tff(9219,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9220,plain,
% 48.99/31.94 (((~v114(constB75)) | v113(constB75)) <=> (v113(constB75) | (~v114(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9221,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9220])).
% 48.99/31.94 tff(9222,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9221, 9219])).
% 48.99/31.94 tff(9223,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9224,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9223, 9222])).
% 48.99/31.94 tff(9225,plain,
% 48.99/31.94 (v113(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9224, 266, 9218])).
% 48.99/31.94 tff(9226,assumption,(v26(constB75)), introduced(assumption)).
% 48.99/31.94 tff(9227,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9228,plain,
% 48.99/31.94 ($false),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9227, 43, 9226])).
% 48.99/31.94 tff(9229,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.94 tff(9230,plain,
% 48.99/31.94 (((~![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) | (~v113(constB75)) | v112(constB75))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9231,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9232,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 48.99/31.94 tff(9233,plain,
% 48.99/31.94 ((~v113(constB75)) | v112(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9232, 280, 9229])).
% 48.99/31.94 tff(9234,plain,
% 48.99/31.94 (v112(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9233, 9225])).
% 48.99/31.94 tff(9235,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9236,plain,
% 48.99/31.94 (((~v112(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v112(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9237,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9236])).
% 48.99/31.94 tff(9238,plain,
% 48.99/31.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9237, 9235])).
% 48.99/31.94 tff(9239,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))),
% 48.99/31.94 inference(quant_inst,[status(thm)],[])).
% 48.99/31.94 tff(9240,plain,
% 48.99/31.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75))),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 48.99/31.94 tff(9241,plain,
% 48.99/31.94 (v108(constB75)),
% 48.99/31.94 inference(unit_resolution,[status(thm)],[9240, 292, 9234])).
% 48.99/31.94 tff(9242,plain,
% 48.99/31.94 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9243,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 48.99/31.94 tff(9244,plain,
% 48.99/31.94 (nextState(constB75, constB76)),
% 48.99/31.94 inference(modus_ponens,[status(thm)],[9243, 9242])).
% 48.99/31.94 tff(9245,plain,
% 48.99/31.94 (((~![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)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9246,plain,
% 48.99/31.94 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 48.99/31.94 inference(rewrite,[status(thm)],[])).
% 48.99/31.94 tff(9247,plain,
% 48.99/31.94 (((~![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))))),
% 48.99/31.94 inference(monotonicity,[status(thm)],[9246])).
% 48.99/31.94 tff(9248,plain,
% 48.99/31.94 (((~![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)))),
% 48.99/31.94 inference(transitivity,[status(thm)],[9247, 9245])).
% 48.99/31.94 tff(9249,plain,
% 48.99/31.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9250,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 48.99/31.95 tff(9251,plain,
% 48.99/31.95 (v110(constB76) | (~v108(constB75))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9250, 312, 9244])).
% 48.99/31.95 tff(9252,plain,
% 48.99/31.95 (v110(constB76)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9251, 9241])).
% 48.99/31.95 tff(9253,plain,
% 48.99/31.95 (((~![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)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9254,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9255,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9254, 9253])).
% 48.99/31.95 tff(9256,plain,
% 48.99/31.95 (~v104(constB76)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9255, 330, 9244, 9093])).
% 48.99/31.95 tff(9257,plain,
% 48.99/31.95 (((~![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)) | v102(constB76) | v104(constB76))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9258,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9259,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9258, 9257])).
% 48.99/31.95 tff(9260,plain,
% 48.99/31.95 (v102(constB76) | v104(constB76)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9259, 344, 9244])).
% 48.99/31.95 tff(9261,plain,
% 48.99/31.95 (v102(constB76)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9260, 9256])).
% 48.99/31.95 tff(9262,plain,
% 48.99/31.95 (v1(constB76) <=> v1(constB76)),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9263,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 48.99/31.95 tff(9264,plain,
% 48.99/31.95 (v1(constB76)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 48.99/31.95 tff(9265,plain,
% 48.99/31.95 (((~![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)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9266,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9267,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 48.99/31.95 tff(9268,plain,
% 48.99/31.95 (v101(constB76) | (~v102(constB76))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9267, 362, 9244, 9264])).
% 48.99/31.95 tff(9269,plain,
% 48.99/31.95 (v101(constB76)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9268, 9261])).
% 48.99/31.95 tff(9270,plain,
% 48.99/31.95 (((~![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)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9271,plain,
% 48.99/31.95 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9272,plain,
% 48.99/31.95 (((~![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))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9271])).
% 48.99/31.95 tff(9273,plain,
% 48.99/31.95 (((~![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)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9272, 9270])).
% 48.99/31.95 tff(9274,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9275,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9274, 9273])).
% 48.99/31.95 tff(9276,plain,
% 48.99/31.95 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9275, 377, 9244])).
% 48.99/31.95 tff(9277,plain,
% 48.99/31.95 (v100(constB76) | (~v110(constB76))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9276, 9269])).
% 48.99/31.95 tff(9278,plain,
% 48.99/31.95 (v100(constB76)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9277, 9252])).
% 48.99/31.95 tff(9279,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9280,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9281,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9280, 9279])).
% 48.99/31.95 tff(9282,plain,
% 48.99/31.95 (~v130(constB75, 2)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9281, 767, 9186])).
% 48.99/31.95 tff(9283,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9284,plain,
% 48.99/31.95 ((v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2))) <=> ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9285,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9284])).
% 48.99/31.95 tff(9286,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9285, 9283])).
% 48.99/31.95 tff(9287,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9288,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 48.99/31.95 tff(9289,plain,
% 48.99/31.95 ((~v127(constB75, 2)) | v130(constB75, 2)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9288, 593, 9229])).
% 48.99/31.95 tff(9290,plain,
% 48.99/31.95 (~v127(constB75, 2)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9289, 9282])).
% 48.99/31.95 tff(9291,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9292,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9293,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9292, 9291])).
% 48.99/31.95 tff(9294,plain,
% 48.99/31.95 (v127(constB75, 2) | (~v129(constB76, 2))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9293, 611, 9244])).
% 48.99/31.95 tff(9295,plain,
% 48.99/31.95 (~v129(constB76, 2)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9294, 9290])).
% 48.99/31.95 tff(9296,plain,
% 48.99/31.95 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9297,plain,
% 48.99/31.95 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9298,plain,
% 48.99/31.95 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9297, 9296])).
% 48.99/31.95 tff(9299,plain,
% 48.99/31.95 ((~v90(constB76, 2)) | (~v100(constB76))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9298, 626, 9295])).
% 48.99/31.95 tff(9300,plain,
% 48.99/31.95 (~v90(constB76, 2)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9299, 9278])).
% 48.99/31.95 tff(9301,plain,
% 48.99/31.95 ((~v1(constB77)) <=> (~v1(constB77))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9302,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 48.99/31.95 tff(9303,plain,
% 48.99/31.95 (~v1(constB77)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 48.99/31.95 tff(9304,plain,
% 48.99/31.95 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9305,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 48.99/31.95 tff(9306,plain,
% 48.99/31.95 (nextState(constB76, constB77)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9305, 9304])).
% 48.99/31.95 tff(9307,plain,
% 48.99/31.95 (((~![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)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9308,plain,
% 48.99/31.95 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9309,plain,
% 48.99/31.95 (((~![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))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9308])).
% 48.99/31.95 tff(9310,plain,
% 48.99/31.95 (((~![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)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9309, 9307])).
% 48.99/31.95 tff(9311,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9312,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9311, 9310])).
% 48.99/31.95 tff(9313,plain,
% 48.99/31.95 (~v101(constB77)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9312, 90, 9306, 9303])).
% 48.99/31.95 tff(9314,plain,
% 48.99/31.95 (((~![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)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9315,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9316,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9315, 9314])).
% 48.99/31.95 tff(9317,plain,
% 48.99/31.95 (v101(constB77) | (~v100(constB77))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9316, 107, 9306])).
% 48.99/31.95 tff(9318,plain,
% 48.99/31.95 (~v100(constB77)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9317, 9313])).
% 48.99/31.95 tff(9319,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9320,plain,
% 48.99/31.95 (((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))) <=> (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9321,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9320])).
% 48.99/31.95 tff(9322,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9321, 9319])).
% 48.99/31.95 tff(9323,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9324,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9323, 9322])).
% 48.99/31.95 tff(9325,plain,
% 48.99/31.95 (v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9324, 122, 9306])).
% 48.99/31.95 tff(9326,plain,
% 48.99/31.95 (v90(constB76, 2) | (~v90(constB77, 2))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9325, 9318])).
% 48.99/31.95 tff(9327,plain,
% 48.99/31.95 (~v90(constB77, 2)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9326, 9300])).
% 48.99/31.95 tff(9328,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9329,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9330,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 48.99/31.95 tff(9331,plain,
% 48.99/31.95 (v130(constB75, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9330, 838, 9186])).
% 48.99/31.95 tff(9332,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9333,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9334,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 48.99/31.95 tff(9335,plain,
% 48.99/31.95 ((~v130(constB75, 1)) | v127(constB75, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9334, 852, 9229])).
% 48.99/31.95 tff(9336,plain,
% 48.99/31.95 (v127(constB75, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9335, 9331])).
% 48.99/31.95 tff(9337,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9338,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9339,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 48.99/31.95 tff(9340,plain,
% 48.99/31.95 ((~v127(constB75, 1)) | v129(constB76, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9339, 867, 9244])).
% 48.99/31.95 tff(9341,plain,
% 48.99/31.95 (v129(constB76, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9340, 9336])).
% 48.99/31.95 tff(9342,plain,
% 48.99/31.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9343,plain,
% 48.99/31.95 ((v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1))) <=> (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9344,plain,
% 48.99/31.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9343])).
% 48.99/31.95 tff(9345,plain,
% 48.99/31.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9344, 9342])).
% 48.99/31.95 tff(9346,plain,
% 48.99/31.95 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9347,plain,
% 48.99/31.95 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 48.99/31.95 tff(9348,plain,
% 48.99/31.95 (v90(constB76, 1) | (~v100(constB76))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9347, 882, 9341])).
% 48.99/31.95 tff(9349,plain,
% 48.99/31.95 (v90(constB76, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9348, 9278])).
% 48.99/31.95 tff(9350,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9351,plain,
% 48.99/31.95 (((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)) <=> ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9352,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9351])).
% 48.99/31.95 tff(9353,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9352, 9350])).
% 48.99/31.95 tff(9354,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9355,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 48.99/31.95 tff(9356,plain,
% 48.99/31.95 ((~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9355, 900, 9306])).
% 48.99/31.95 tff(9357,plain,
% 48.99/31.95 ((~v90(constB76, 1)) | v90(constB77, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9356, 9318])).
% 48.99/31.95 tff(9358,plain,
% 48.99/31.95 (v90(constB77, 1)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9357, 9349])).
% 48.99/31.95 tff(9359,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9360,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9361,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 48.99/31.95 tff(9362,plain,
% 48.99/31.95 (~v130(constB75, 0)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9361, 916, 9186])).
% 48.99/31.95 tff(9363,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9364,plain,
% 48.99/31.95 ((v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0))) <=> ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9365,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9364])).
% 48.99/31.95 tff(9366,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9365, 9363])).
% 48.99/31.95 tff(9367,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9368,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9367, 9366])).
% 48.99/31.95 tff(9369,plain,
% 48.99/31.95 ((~v127(constB75, 0)) | v130(constB75, 0)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9368, 930, 9229])).
% 48.99/31.95 tff(9370,plain,
% 48.99/31.95 (~v127(constB75, 0)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9369, 9362])).
% 48.99/31.95 tff(9371,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9372,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9373,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 48.99/31.95 tff(9374,plain,
% 48.99/31.95 (v127(constB75, 0) | (~v129(constB76, 0))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9373, 948, 9244])).
% 48.99/31.95 tff(9375,plain,
% 48.99/31.95 (~v129(constB76, 0)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9374, 9370])).
% 48.99/31.95 tff(9376,plain,
% 48.99/31.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9377,plain,
% 48.99/31.95 (((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0)) <=> ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9378,plain,
% 48.99/31.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9377])).
% 48.99/31.95 tff(9379,plain,
% 48.99/31.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9378, 9376])).
% 48.99/31.95 tff(9380,plain,
% 48.99/31.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9381,plain,
% 48.99/31.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 48.99/31.95 tff(9382,plain,
% 48.99/31.95 ((~v90(constB76, 0)) | (~v100(constB76))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9381, 963, 9375])).
% 48.99/31.95 tff(9383,plain,
% 48.99/31.95 (~v90(constB76, 0)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9382, 9278])).
% 48.99/31.95 tff(9384,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9385,plain,
% 48.99/31.95 (((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))) <=> (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9386,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9385])).
% 48.99/31.95 tff(9387,plain,
% 48.99/31.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9386, 9384])).
% 48.99/31.95 tff(9388,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9389,plain,
% 48.99/31.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 48.99/31.95 tff(9390,plain,
% 48.99/31.95 (v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9389, 164, 9306])).
% 48.99/31.95 tff(9391,plain,
% 48.99/31.95 (v90(constB76, 0) | (~v90(constB77, 0))),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9390, 9318])).
% 48.99/31.95 tff(9392,plain,
% 48.99/31.95 (~v90(constB77, 0)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9391, 9383])).
% 48.99/31.95 tff(9393,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9394,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9395,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9394, 9393])).
% 48.99/31.95 tff(9396,plain,
% 48.99/31.95 (v121(constB77)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9395, 990, 9392, 9358, 9327])).
% 48.99/31.95 tff(9397,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB77)) | v117(constB77))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9398,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9399,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB77)) | v117(constB77)),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 48.99/31.95 tff(9400,plain,
% 48.99/31.95 (v117(constB77)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9399, 1001, 9396])).
% 48.99/31.95 tff(9401,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9402,plain,
% 48.99/31.95 (((~v117(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v117(constB77)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9403,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9402])).
% 48.99/31.95 tff(9404,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9403, 9401])).
% 48.99/31.95 tff(9405,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9406,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9405, 9404])).
% 48.99/31.95 tff(9407,plain,
% 48.99/31.95 (v116(constB77)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9406, 224, 9400])).
% 48.99/31.95 tff(9408,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9409,plain,
% 48.99/31.95 (((~v116(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v116(constB77)))),
% 48.99/31.95 inference(rewrite,[status(thm)],[])).
% 48.99/31.95 tff(9410,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77))))),
% 48.99/31.95 inference(monotonicity,[status(thm)],[9409])).
% 48.99/31.95 tff(9411,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 48.99/31.95 inference(transitivity,[status(thm)],[9410, 9408])).
% 48.99/31.95 tff(9412,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))),
% 48.99/31.95 inference(quant_inst,[status(thm)],[])).
% 48.99/31.95 tff(9413,plain,
% 48.99/31.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77))),
% 48.99/31.95 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 48.99/31.95 tff(9414,plain,
% 48.99/31.95 (v115(constB77)),
% 48.99/31.95 inference(unit_resolution,[status(thm)],[9413, 238, 9407])).
% 48.99/31.95 tff(9415,plain,
% 48.99/31.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9416,plain,
% 48.99/31.96 (((~v115(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v115(constB77)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9417,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9416])).
% 48.99/31.96 tff(9418,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9417, 9415])).
% 48.99/31.96 tff(9419,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9420,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9419, 9418])).
% 48.99/31.96 tff(9421,plain,
% 48.99/31.96 (v114(constB77)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9420, 252, 9414])).
% 48.99/31.96 tff(9422,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9423,plain,
% 48.99/31.96 (((~v114(constB77)) | v113(constB77)) <=> (v113(constB77) | (~v114(constB77)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9424,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9423])).
% 48.99/31.96 tff(9425,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9424, 9422])).
% 48.99/31.96 tff(9426,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9427,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9426, 9425])).
% 48.99/31.96 tff(9428,plain,
% 48.99/31.96 (v113(constB77)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9427, 266, 9421])).
% 48.99/31.96 tff(9429,assumption,(v26(constB77)), introduced(assumption)).
% 48.99/31.96 tff(9430,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9431,plain,
% 48.99/31.96 ($false),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9430, 43, 9429])).
% 48.99/31.96 tff(9432,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.96 tff(9433,plain,
% 48.99/31.96 (((~![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) | (~v113(constB77)) | v112(constB77))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9434,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9435,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 48.99/31.96 tff(9436,plain,
% 48.99/31.96 ((~v113(constB77)) | v112(constB77)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9435, 280, 9432])).
% 48.99/31.96 tff(9437,plain,
% 48.99/31.96 (v112(constB77)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9436, 9428])).
% 48.99/31.96 tff(9438,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9439,plain,
% 48.99/31.96 (((~v112(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v112(constB77)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9440,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9439])).
% 48.99/31.96 tff(9441,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9440, 9438])).
% 48.99/31.96 tff(9442,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9443,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9442, 9441])).
% 48.99/31.96 tff(9444,plain,
% 48.99/31.96 (v108(constB77)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9443, 292, 9437])).
% 48.99/31.96 tff(9445,plain,
% 48.99/31.96 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9446,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 48.99/31.96 tff(9447,plain,
% 48.99/31.96 (nextState(constB77, constB78)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9446, 9445])).
% 48.99/31.96 tff(9448,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9449,plain,
% 48.99/31.96 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9450,plain,
% 48.99/31.96 (((~![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))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9449])).
% 48.99/31.96 tff(9451,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9450, 9448])).
% 48.99/31.96 tff(9452,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9453,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 48.99/31.96 tff(9454,plain,
% 48.99/31.96 (v110(constB78) | (~v108(constB77))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9453, 312, 9447])).
% 48.99/31.96 tff(9455,plain,
% 48.99/31.96 (v110(constB78)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9454, 9444])).
% 48.99/31.96 tff(9456,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9457,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9458,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 48.99/31.96 tff(9459,plain,
% 48.99/31.96 (~v104(constB78)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9458, 330, 9447, 9303])).
% 48.99/31.96 tff(9460,plain,
% 48.99/31.96 (((~![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)) | v102(constB78) | v104(constB78))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9461,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9462,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 48.99/31.96 tff(9463,plain,
% 48.99/31.96 (v102(constB78) | v104(constB78)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9462, 344, 9447])).
% 48.99/31.96 tff(9464,plain,
% 48.99/31.96 (v102(constB78)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9463, 9459])).
% 48.99/31.96 tff(9465,plain,
% 48.99/31.96 (v1(constB78) <=> v1(constB78)),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9466,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 48.99/31.96 tff(9467,plain,
% 48.99/31.96 (v1(constB78)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9466, 9465])).
% 48.99/31.96 tff(9468,plain,
% 48.99/31.96 (((~![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)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9469,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9470,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 48.99/31.96 tff(9471,plain,
% 48.99/31.96 (v101(constB78) | (~v102(constB78))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9470, 362, 9447, 9467])).
% 48.99/31.96 tff(9472,plain,
% 48.99/31.96 (v101(constB78)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9471, 9464])).
% 48.99/31.96 tff(9473,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9474,plain,
% 48.99/31.96 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9475,plain,
% 48.99/31.96 (((~![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))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9474])).
% 48.99/31.96 tff(9476,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9475, 9473])).
% 48.99/31.96 tff(9477,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9478,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 48.99/31.96 tff(9479,plain,
% 48.99/31.96 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9478, 377, 9447])).
% 48.99/31.96 tff(9480,plain,
% 48.99/31.96 (v100(constB78) | (~v110(constB78))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9479, 9472])).
% 48.99/31.96 tff(9481,plain,
% 48.99/31.96 (v100(constB78)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9480, 9455])).
% 48.99/31.96 tff(9482,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9483,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9484,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9483, 9482])).
% 48.99/31.96 tff(9485,plain,
% 48.99/31.96 (~v130(constB77, 2)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9484, 1090, 9396])).
% 48.99/31.96 tff(9486,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9487,plain,
% 48.99/31.96 ((v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2))) <=> ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9488,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9487])).
% 48.99/31.96 tff(9489,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9488, 9486])).
% 48.99/31.96 tff(9490,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9491,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 48.99/31.96 tff(9492,plain,
% 48.99/31.96 ((~v127(constB77, 2)) | v130(constB77, 2)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9491, 593, 9432])).
% 48.99/31.96 tff(9493,plain,
% 48.99/31.96 (~v127(constB77, 2)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9492, 9485])).
% 48.99/31.96 tff(9494,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9495,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9496,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9495, 9494])).
% 48.99/31.96 tff(9497,plain,
% 48.99/31.96 (v127(constB77, 2) | (~v129(constB78, 2))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9496, 611, 9447])).
% 48.99/31.96 tff(9498,plain,
% 48.99/31.96 (~v129(constB78, 2)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9497, 9493])).
% 48.99/31.96 tff(9499,plain,
% 48.99/31.96 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9500,plain,
% 48.99/31.96 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9501,plain,
% 48.99/31.96 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 48.99/31.96 tff(9502,plain,
% 48.99/31.96 ((~v90(constB78, 2)) | (~v100(constB78))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9501, 626, 9498])).
% 48.99/31.96 tff(9503,plain,
% 48.99/31.96 (~v90(constB78, 2)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9502, 9481])).
% 48.99/31.96 tff(9504,plain,
% 48.99/31.96 ((~v1(constB79)) <=> (~v1(constB79))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9505,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 48.99/31.96 tff(9506,plain,
% 48.99/31.96 (~v1(constB79)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9505, 9504])).
% 48.99/31.96 tff(9507,plain,
% 48.99/31.96 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9508,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 48.99/31.96 tff(9509,plain,
% 48.99/31.96 (nextState(constB78, constB79)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 48.99/31.96 tff(9510,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9511,plain,
% 48.99/31.96 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9512,plain,
% 48.99/31.96 (((~![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))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9511])).
% 48.99/31.96 tff(9513,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9512, 9510])).
% 48.99/31.96 tff(9514,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9515,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9514, 9513])).
% 48.99/31.96 tff(9516,plain,
% 48.99/31.96 (~v101(constB79)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9515, 90, 9509, 9506])).
% 48.99/31.96 tff(9517,plain,
% 48.99/31.96 (((~![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)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9518,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9519,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9518, 9517])).
% 48.99/31.96 tff(9520,plain,
% 48.99/31.96 (v101(constB79) | (~v100(constB79))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9519, 107, 9509])).
% 48.99/31.96 tff(9521,plain,
% 48.99/31.96 (~v100(constB79)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9520, 9516])).
% 48.99/31.96 tff(9522,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9523,plain,
% 48.99/31.96 (((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))) <=> (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9524,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9523])).
% 48.99/31.96 tff(9525,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9524, 9522])).
% 48.99/31.96 tff(9526,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9527,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9526, 9525])).
% 48.99/31.96 tff(9528,plain,
% 48.99/31.96 (v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9527, 122, 9509])).
% 48.99/31.96 tff(9529,plain,
% 48.99/31.96 (v90(constB78, 2) | (~v90(constB79, 2))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9528, 9521])).
% 48.99/31.96 tff(9530,plain,
% 48.99/31.96 (~v90(constB79, 2)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9529, 9503])).
% 48.99/31.96 tff(9531,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9532,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9533,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 48.99/31.96 tff(9534,plain,
% 48.99/31.96 (v130(constB77, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9533, 1146, 9396])).
% 48.99/31.96 tff(9535,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9536,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9537,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 48.99/31.96 tff(9538,plain,
% 48.99/31.96 ((~v130(constB77, 1)) | v127(constB77, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9537, 852, 9432])).
% 48.99/31.96 tff(9539,plain,
% 48.99/31.96 (v127(constB77, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9538, 9534])).
% 48.99/31.96 tff(9540,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9541,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9542,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9541, 9540])).
% 48.99/31.96 tff(9543,plain,
% 48.99/31.96 ((~v127(constB77, 1)) | v129(constB78, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9542, 867, 9447])).
% 48.99/31.96 tff(9544,plain,
% 48.99/31.96 (v129(constB78, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9543, 9539])).
% 48.99/31.96 tff(9545,plain,
% 48.99/31.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9546,plain,
% 48.99/31.96 ((v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1))) <=> (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9547,plain,
% 48.99/31.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9546])).
% 48.99/31.96 tff(9548,plain,
% 48.99/31.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9547, 9545])).
% 48.99/31.96 tff(9549,plain,
% 48.99/31.96 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9550,plain,
% 48.99/31.96 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9549, 9548])).
% 48.99/31.96 tff(9551,plain,
% 48.99/31.96 (v90(constB78, 1) | (~v100(constB78))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9550, 882, 9544])).
% 48.99/31.96 tff(9552,plain,
% 48.99/31.96 (v90(constB78, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9551, 9481])).
% 48.99/31.96 tff(9553,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9554,plain,
% 48.99/31.96 (((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)) <=> ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9555,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9554])).
% 48.99/31.96 tff(9556,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9555, 9553])).
% 48.99/31.96 tff(9557,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9558,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9557, 9556])).
% 48.99/31.96 tff(9559,plain,
% 48.99/31.96 ((~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9558, 900, 9509])).
% 48.99/31.96 tff(9560,plain,
% 48.99/31.96 ((~v90(constB78, 1)) | v90(constB79, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9559, 9521])).
% 48.99/31.96 tff(9561,plain,
% 48.99/31.96 (v90(constB79, 1)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9560, 9552])).
% 48.99/31.96 tff(9562,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9563,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9564,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 48.99/31.96 tff(9565,plain,
% 48.99/31.96 (v130(constB77, 0)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9564, 1184, 9396])).
% 48.99/31.96 tff(9566,plain,
% 48.99/31.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9567,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9568,plain,
% 48.99/31.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9567, 9566])).
% 48.99/31.96 tff(9569,plain,
% 48.99/31.96 ((~v130(constB77, 0)) | v127(constB77, 0)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9568, 515, 9432])).
% 48.99/31.96 tff(9570,plain,
% 48.99/31.96 (v127(constB77, 0)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9569, 9565])).
% 48.99/31.96 tff(9571,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9572,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9573,plain,
% 48.99/31.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0)),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 48.99/31.96 tff(9574,plain,
% 48.99/31.96 ((~v127(constB77, 0)) | v129(constB78, 0)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9573, 530, 9447])).
% 48.99/31.96 tff(9575,plain,
% 48.99/31.96 (v129(constB78, 0)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9574, 9570])).
% 48.99/31.96 tff(9576,plain,
% 48.99/31.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9577,plain,
% 48.99/31.96 ((v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0))) <=> (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9578,plain,
% 48.99/31.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))))),
% 48.99/31.96 inference(monotonicity,[status(thm)],[9577])).
% 48.99/31.96 tff(9579,plain,
% 48.99/31.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 48.99/31.96 inference(transitivity,[status(thm)],[9578, 9576])).
% 48.99/31.96 tff(9580,plain,
% 48.99/31.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))),
% 48.99/31.96 inference(quant_inst,[status(thm)],[])).
% 48.99/31.96 tff(9581,plain,
% 48.99/31.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))),
% 48.99/31.96 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 48.99/31.96 tff(9582,plain,
% 48.99/31.96 (v90(constB78, 0) | (~v100(constB78))),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9581, 545, 9575])).
% 48.99/31.96 tff(9583,plain,
% 48.99/31.96 (v90(constB78, 0)),
% 48.99/31.96 inference(unit_resolution,[status(thm)],[9582, 9481])).
% 48.99/31.96 tff(9584,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9585,plain,
% 48.99/31.96 (((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)) <=> ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 48.99/31.96 inference(rewrite,[status(thm)],[])).
% 48.99/31.96 tff(9586,plain,
% 48.99/31.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9585])).
% 48.99/31.97 tff(9587,plain,
% 48.99/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9586, 9584])).
% 48.99/31.97 tff(9588,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9589,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 48.99/31.97 tff(9590,plain,
% 48.99/31.97 ((~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9589, 563, 9509])).
% 48.99/31.97 tff(9591,plain,
% 48.99/31.97 ((~v90(constB78, 0)) | v90(constB79, 0)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9590, 9521])).
% 48.99/31.97 tff(9592,plain,
% 48.99/31.97 (v90(constB79, 0)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9591, 9583])).
% 48.99/31.97 tff(9593,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9594,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9595,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9594, 9593])).
% 48.99/31.97 tff(9596,plain,
% 48.99/31.97 (v122(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9595, 1225, 9592, 9561, 9530])).
% 48.99/31.97 tff(9597,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v122(constB79)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9598,plain,
% 48.99/31.97 (((~v122(constB79)) | v116(constB79)) <=> (v116(constB79) | (~v122(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9599,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v122(constB79))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9598])).
% 48.99/31.97 tff(9600,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9599, 9597])).
% 48.99/31.97 tff(9601,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9602,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 48.99/31.97 tff(9603,plain,
% 48.99/31.97 (v116(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9602, 1236, 9596])).
% 48.99/31.97 tff(9604,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9605,plain,
% 48.99/31.97 (((~v116(constB79)) | v115(constB79)) <=> (v115(constB79) | (~v116(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9606,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9605])).
% 48.99/31.97 tff(9607,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9606, 9604])).
% 48.99/31.97 tff(9608,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9609,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9608, 9607])).
% 48.99/31.97 tff(9610,plain,
% 48.99/31.97 (v115(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9609, 238, 9603])).
% 48.99/31.97 tff(9611,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9612,plain,
% 48.99/31.97 (((~v115(constB79)) | v114(constB79)) <=> (v114(constB79) | (~v115(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9613,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9612])).
% 48.99/31.97 tff(9614,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9613, 9611])).
% 48.99/31.97 tff(9615,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9616,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9615, 9614])).
% 48.99/31.97 tff(9617,plain,
% 48.99/31.97 (v114(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9616, 252, 9610])).
% 48.99/31.97 tff(9618,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9619,plain,
% 48.99/31.97 (((~v114(constB79)) | v113(constB79)) <=> (v113(constB79) | (~v114(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9620,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9619])).
% 48.99/31.97 tff(9621,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9620, 9618])).
% 48.99/31.97 tff(9622,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9623,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 48.99/31.97 tff(9624,plain,
% 48.99/31.97 (v113(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9623, 266, 9617])).
% 48.99/31.97 tff(9625,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9626,plain,
% 48.99/31.97 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9627,plain,
% 48.99/31.97 (((~![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) | v112(constB79) | (~v113(constB79))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9626])).
% 48.99/31.97 tff(9628,plain,
% 48.99/31.97 (((~![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) | v112(constB79) | (~v113(constB79)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9627, 9625])).
% 48.99/31.97 tff(9629,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9630,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 48.99/31.97 tff(9631,plain,
% 48.99/31.97 (v26(constB79) | v112(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9630, 280, 9624])).
% 48.99/31.97 tff(9632,plain,
% 48.99/31.97 (v112(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9631, 58])).
% 48.99/31.97 tff(9633,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9634,plain,
% 48.99/31.97 (((~v112(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v112(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9635,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9634])).
% 48.99/31.97 tff(9636,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9635, 9633])).
% 48.99/31.97 tff(9637,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9638,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 48.99/31.97 tff(9639,plain,
% 48.99/31.97 (v108(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9638, 292, 9632])).
% 48.99/31.97 tff(9640,plain,
% 48.99/31.97 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9641,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 48.99/31.97 tff(9642,plain,
% 48.99/31.97 (nextState(constB79, constB80)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9641, 9640])).
% 48.99/31.97 tff(9643,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9644,plain,
% 48.99/31.97 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9645,plain,
% 48.99/31.97 (((~![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))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9644])).
% 48.99/31.97 tff(9646,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9645, 9643])).
% 48.99/31.97 tff(9647,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9648,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 48.99/31.97 tff(9649,plain,
% 48.99/31.97 (v110(constB80) | (~v108(constB79))),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9648, 312, 9642])).
% 48.99/31.97 tff(9650,plain,
% 48.99/31.97 (v110(constB80)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9649, 9639])).
% 48.99/31.97 tff(9651,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9652,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9653,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 48.99/31.97 tff(9654,plain,
% 48.99/31.97 (~v104(constB80)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9653, 330, 9642, 9506])).
% 48.99/31.97 tff(9655,plain,
% 48.99/31.97 (((~![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)) | v102(constB80) | v104(constB80))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9656,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9657,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 48.99/31.97 tff(9658,plain,
% 48.99/31.97 (v102(constB80) | v104(constB80)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9657, 344, 9642])).
% 48.99/31.97 tff(9659,plain,
% 48.99/31.97 (v102(constB80)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9658, 9654])).
% 48.99/31.97 tff(9660,plain,
% 48.99/31.97 (v1(constB80) <=> v1(constB80)),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9661,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 48.99/31.97 tff(9662,plain,
% 48.99/31.97 (v1(constB80)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9661, 9660])).
% 48.99/31.97 tff(9663,plain,
% 48.99/31.97 (((~![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)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9664,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9665,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 48.99/31.97 tff(9666,plain,
% 48.99/31.97 (v101(constB80) | (~v102(constB80))),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9665, 362, 9642, 9662])).
% 48.99/31.97 tff(9667,plain,
% 48.99/31.97 (v101(constB80)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9666, 9659])).
% 48.99/31.97 tff(9668,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9669,plain,
% 48.99/31.97 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9670,plain,
% 48.99/31.97 (((~![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))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9669])).
% 48.99/31.97 tff(9671,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9670, 9668])).
% 48.99/31.97 tff(9672,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9673,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 48.99/31.97 tff(9674,plain,
% 48.99/31.97 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9673, 377, 9642])).
% 48.99/31.97 tff(9675,plain,
% 48.99/31.97 (v100(constB80) | (~v110(constB80))),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9674, 9667])).
% 48.99/31.97 tff(9676,plain,
% 48.99/31.97 (v100(constB80)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9675, 9650])).
% 48.99/31.97 tff(9677,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9678,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9679,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 48.99/31.97 tff(9680,plain,
% 48.99/31.97 (v130(constB79, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9679, 1314, 9596])).
% 48.99/31.97 tff(9681,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9682,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9683,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9682, 9681])).
% 48.99/31.97 tff(9684,plain,
% 48.99/31.97 (v26(constB79) | v127(constB79, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9683, 1328, 9680])).
% 48.99/31.97 tff(9685,plain,
% 48.99/31.97 (v127(constB79, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9684, 58])).
% 48.99/31.97 tff(9686,plain,
% 48.99/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9687,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9688,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 48.99/31.97 tff(9689,plain,
% 48.99/31.97 ((~v127(constB79, 2)) | v129(constB80, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9688, 1343, 9642])).
% 48.99/31.97 tff(9690,plain,
% 48.99/31.97 (v129(constB80, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9689, 9685])).
% 48.99/31.97 tff(9691,plain,
% 48.99/31.97 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9692,plain,
% 48.99/31.97 ((v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2))) <=> (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9693,plain,
% 48.99/31.97 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9692])).
% 48.99/31.97 tff(9694,plain,
% 48.99/31.97 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9693, 9691])).
% 48.99/31.97 tff(9695,plain,
% 48.99/31.97 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9696,plain,
% 48.99/31.97 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9695, 9694])).
% 48.99/31.97 tff(9697,plain,
% 48.99/31.97 (v90(constB80, 2) | (~v100(constB80))),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9696, 1358, 9690])).
% 48.99/31.97 tff(9698,plain,
% 48.99/31.97 (v90(constB80, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9697, 9676])).
% 48.99/31.97 tff(9699,plain,
% 48.99/31.97 ((~v1(constB81)) <=> (~v1(constB81))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9700,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 48.99/31.97 tff(9701,plain,
% 48.99/31.97 (~v1(constB81)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 48.99/31.97 tff(9702,plain,
% 48.99/31.97 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9703,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 48.99/31.97 tff(9704,plain,
% 48.99/31.97 (nextState(constB80, constB81)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 48.99/31.97 tff(9705,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9706,plain,
% 48.99/31.97 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9707,plain,
% 48.99/31.97 (((~![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))))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9706])).
% 48.99/31.97 tff(9708,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9707, 9705])).
% 48.99/31.97 tff(9709,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9710,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9709, 9708])).
% 48.99/31.97 tff(9711,plain,
% 48.99/31.97 (~v101(constB81)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9710, 90, 9704, 9701])).
% 48.99/31.97 tff(9712,plain,
% 48.99/31.97 (((~![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)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9713,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9714,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9713, 9712])).
% 48.99/31.97 tff(9715,plain,
% 48.99/31.97 (v101(constB81) | (~v100(constB81))),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9714, 107, 9704])).
% 48.99/31.97 tff(9716,plain,
% 48.99/31.97 (~v100(constB81)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9715, 9711])).
% 48.99/31.97 tff(9717,plain,
% 48.99/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9718,plain,
% 48.99/31.97 (((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)) <=> ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9719,plain,
% 48.99/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9718])).
% 48.99/31.97 tff(9720,plain,
% 48.99/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9719, 9717])).
% 48.99/31.97 tff(9721,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9722,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9721, 9720])).
% 48.99/31.97 tff(9723,plain,
% 48.99/31.97 ((~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9722, 1394, 9704])).
% 48.99/31.97 tff(9724,plain,
% 48.99/31.97 ((~v90(constB80, 2)) | v90(constB81, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9723, 9716])).
% 48.99/31.97 tff(9725,plain,
% 48.99/31.97 (v90(constB81, 2)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9724, 9698])).
% 48.99/31.97 tff(9726,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9727,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9728,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1))),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9727, 9726])).
% 48.99/31.97 tff(9729,plain,
% 48.99/31.97 (~v130(constB79, 1)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9728, 1410, 9596])).
% 48.99/31.97 tff(9730,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9731,plain,
% 48.99/31.97 ((v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1))) <=> ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9732,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)))),
% 48.99/31.97 inference(monotonicity,[status(thm)],[9731])).
% 48.99/31.97 tff(9733,plain,
% 48.99/31.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 48.99/31.97 inference(transitivity,[status(thm)],[9732, 9730])).
% 48.99/31.97 tff(9734,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9735,plain,
% 48.99/31.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)),
% 48.99/31.97 inference(modus_ponens,[status(thm)],[9734, 9733])).
% 48.99/31.97 tff(9736,plain,
% 48.99/31.97 ((~v127(constB79, 1)) | v26(constB79)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9735, 408, 9729])).
% 48.99/31.97 tff(9737,plain,
% 48.99/31.97 (~v127(constB79, 1)),
% 48.99/31.97 inference(unit_resolution,[status(thm)],[9736, 58])).
% 48.99/31.97 tff(9738,plain,
% 48.99/31.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 48.99/31.97 inference(rewrite,[status(thm)],[])).
% 48.99/31.97 tff(9739,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 48.99/31.97 inference(quant_inst,[status(thm)],[])).
% 48.99/31.97 tff(9740,plain,
% 48.99/31.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 48.99/31.98 tff(9741,plain,
% 48.99/31.98 (v127(constB79, 1) | (~v129(constB80, 1))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9740, 438, 9642])).
% 48.99/31.98 tff(9742,plain,
% 48.99/31.98 (~v129(constB80, 1)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9741, 9737])).
% 48.99/31.98 tff(9743,plain,
% 48.99/31.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9744,plain,
% 48.99/31.98 (((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1)) <=> ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9745,plain,
% 48.99/31.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9744])).
% 48.99/31.98 tff(9746,plain,
% 48.99/31.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9745, 9743])).
% 48.99/31.98 tff(9747,plain,
% 48.99/31.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9748,plain,
% 48.99/31.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 48.99/31.98 tff(9749,plain,
% 48.99/31.98 ((~v90(constB80, 1)) | (~v100(constB80))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9748, 453, 9742])).
% 48.99/31.98 tff(9750,plain,
% 48.99/31.98 (~v90(constB80, 1)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9749, 9676])).
% 48.99/31.98 tff(9751,plain,
% 48.99/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9752,plain,
% 48.99/31.98 (((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))) <=> (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9753,plain,
% 48.99/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9752])).
% 48.99/31.98 tff(9754,plain,
% 48.99/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9753, 9751])).
% 48.99/31.98 tff(9755,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9756,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 48.99/31.98 tff(9757,plain,
% 48.99/31.98 (v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9756, 143, 9704])).
% 48.99/31.98 tff(9758,plain,
% 48.99/31.98 (v90(constB80, 1) | (~v90(constB81, 1))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9757, 9716])).
% 48.99/31.98 tff(9759,plain,
% 48.99/31.98 (~v90(constB81, 1)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9758, 9750])).
% 48.99/31.98 tff(9760,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9761,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9762,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9761, 9760])).
% 48.99/31.98 tff(9763,plain,
% 48.99/31.98 (~v130(constB79, 0)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9762, 1451, 9596])).
% 48.99/31.98 tff(9764,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9765,plain,
% 48.99/31.98 ((v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0))) <=> ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9766,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9765])).
% 48.99/31.98 tff(9767,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9766, 9764])).
% 48.99/31.98 tff(9768,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9769,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9768, 9767])).
% 48.99/31.98 tff(9770,plain,
% 48.99/31.98 ((~v127(constB79, 0)) | v26(constB79)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9769, 930, 9763])).
% 48.99/31.98 tff(9771,plain,
% 48.99/31.98 (~v127(constB79, 0)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9770, 58])).
% 48.99/31.98 tff(9772,plain,
% 48.99/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9773,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9774,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 48.99/31.98 tff(9775,plain,
% 48.99/31.98 (v127(constB79, 0) | (~v129(constB80, 0))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9774, 948, 9642])).
% 48.99/31.98 tff(9776,plain,
% 48.99/31.98 (~v129(constB80, 0)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9775, 9771])).
% 48.99/31.98 tff(9777,plain,
% 48.99/31.98 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9778,plain,
% 48.99/31.98 (((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0)) <=> ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9779,plain,
% 48.99/31.98 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9778])).
% 48.99/31.98 tff(9780,plain,
% 48.99/31.98 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9779, 9777])).
% 48.99/31.98 tff(9781,plain,
% 48.99/31.98 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9782,plain,
% 48.99/31.98 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 48.99/31.98 tff(9783,plain,
% 48.99/31.98 ((~v90(constB80, 0)) | (~v100(constB80))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9782, 963, 9776])).
% 48.99/31.98 tff(9784,plain,
% 48.99/31.98 (~v90(constB80, 0)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9783, 9676])).
% 48.99/31.98 tff(9785,plain,
% 48.99/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9786,plain,
% 48.99/31.98 (((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))) <=> (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9787,plain,
% 48.99/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9786])).
% 48.99/31.98 tff(9788,plain,
% 48.99/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9787, 9785])).
% 48.99/31.98 tff(9789,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9790,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 48.99/31.98 tff(9791,plain,
% 48.99/31.98 (v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9790, 164, 9704])).
% 48.99/31.98 tff(9792,plain,
% 48.99/31.98 (v90(constB80, 0) | (~v90(constB81, 0))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9791, 9716])).
% 48.99/31.98 tff(9793,plain,
% 48.99/31.98 (~v90(constB81, 0)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9792, 9784])).
% 48.99/31.98 tff(9794,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9795,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9796,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81)),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9795, 9794])).
% 48.99/31.98 tff(9797,plain,
% 48.99/31.98 (v123(constB81)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9796, 1495, 9793, 9759, 9725])).
% 48.99/31.98 tff(9798,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9799,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9800,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81)),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9799, 9798])).
% 48.99/31.98 tff(9801,plain,
% 48.99/31.98 (v115(constB81)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9800, 1506, 9797])).
% 48.99/31.98 tff(9802,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9803,plain,
% 48.99/31.98 (((~v115(constB81)) | v114(constB81)) <=> (v114(constB81) | (~v115(constB81)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9804,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9803])).
% 48.99/31.98 tff(9805,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9804, 9802])).
% 48.99/31.98 tff(9806,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9807,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 48.99/31.98 tff(9808,plain,
% 48.99/31.98 (v114(constB81)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9807, 252, 9801])).
% 48.99/31.98 tff(9809,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9810,plain,
% 48.99/31.98 (((~v114(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v114(constB81)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9811,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9810])).
% 48.99/31.98 tff(9812,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9811, 9809])).
% 48.99/31.98 tff(9813,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9814,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9813, 9812])).
% 48.99/31.98 tff(9815,plain,
% 48.99/31.98 (v113(constB81)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9814, 266, 9808])).
% 48.99/31.98 tff(9816,plain,
% 48.99/31.98 (((~![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) | (~v113(constB81)) | v112(constB81))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9817,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9818,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9817, 9816])).
% 48.99/31.98 tff(9819,plain,
% 48.99/31.98 (v26(constB81) | v112(constB81)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9818, 280, 9815])).
% 48.99/31.98 tff(9820,plain,
% 48.99/31.98 (v112(constB81)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9819, 54])).
% 48.99/31.98 tff(9821,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9822,plain,
% 48.99/31.98 (((~v112(constB81)) | v108(constB81)) <=> (v108(constB81) | (~v112(constB81)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9823,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9822])).
% 48.99/31.98 tff(9824,plain,
% 48.99/31.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9823, 9821])).
% 48.99/31.98 tff(9825,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9826,plain,
% 48.99/31.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 48.99/31.98 tff(9827,plain,
% 48.99/31.98 (v108(constB81)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9826, 292, 9820])).
% 48.99/31.98 tff(9828,plain,
% 48.99/31.98 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9829,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 48.99/31.98 tff(9830,plain,
% 48.99/31.98 (nextState(constB81, constB82)),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 48.99/31.98 tff(9831,plain,
% 48.99/31.98 (((~![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)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9832,plain,
% 48.99/31.98 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9833,plain,
% 48.99/31.98 (((~![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))))),
% 48.99/31.98 inference(monotonicity,[status(thm)],[9832])).
% 48.99/31.98 tff(9834,plain,
% 48.99/31.98 (((~![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)))),
% 48.99/31.98 inference(transitivity,[status(thm)],[9833, 9831])).
% 48.99/31.98 tff(9835,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 48.99/31.98 inference(quant_inst,[status(thm)],[])).
% 48.99/31.98 tff(9836,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 48.99/31.98 inference(modus_ponens,[status(thm)],[9835, 9834])).
% 48.99/31.98 tff(9837,plain,
% 48.99/31.98 (v110(constB82) | (~v108(constB81))),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9836, 312, 9830])).
% 48.99/31.98 tff(9838,plain,
% 48.99/31.98 (v110(constB82)),
% 48.99/31.98 inference(unit_resolution,[status(thm)],[9837, 9827])).
% 48.99/31.98 tff(9839,plain,
% 48.99/31.98 (((~![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)))),
% 48.99/31.98 inference(rewrite,[status(thm)],[])).
% 48.99/31.98 tff(9840,plain,
% 48.99/31.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9841,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 49.06/31.98 tff(9842,plain,
% 49.06/31.98 (~v104(constB82)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9841, 330, 9830, 9701])).
% 49.06/31.98 tff(9843,plain,
% 49.06/31.98 (((~![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)) | v102(constB82) | v104(constB82))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9844,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9845,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9844, 9843])).
% 49.06/31.98 tff(9846,plain,
% 49.06/31.98 (v102(constB82) | v104(constB82)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9845, 344, 9830])).
% 49.06/31.98 tff(9847,plain,
% 49.06/31.98 (v102(constB82)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9846, 9842])).
% 49.06/31.98 tff(9848,plain,
% 49.06/31.98 (v1(constB82) <=> v1(constB82)),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9849,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 49.06/31.98 tff(9850,plain,
% 49.06/31.98 (v1(constB82)),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9849, 9848])).
% 49.06/31.98 tff(9851,plain,
% 49.06/31.98 (((~![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)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9852,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9853,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9852, 9851])).
% 49.06/31.98 tff(9854,plain,
% 49.06/31.98 (v101(constB82) | (~v102(constB82))),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9853, 362, 9830, 9850])).
% 49.06/31.98 tff(9855,plain,
% 49.06/31.98 (v101(constB82)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9854, 9847])).
% 49.06/31.98 tff(9856,plain,
% 49.06/31.98 (((~![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)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9857,plain,
% 49.06/31.98 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9858,plain,
% 49.06/31.98 (((~![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))))),
% 49.06/31.98 inference(monotonicity,[status(thm)],[9857])).
% 49.06/31.98 tff(9859,plain,
% 49.06/31.98 (((~![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)))),
% 49.06/31.98 inference(transitivity,[status(thm)],[9858, 9856])).
% 49.06/31.98 tff(9860,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9861,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9860, 9859])).
% 49.06/31.98 tff(9862,plain,
% 49.06/31.98 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9861, 377, 9830])).
% 49.06/31.98 tff(9863,plain,
% 49.06/31.98 (v100(constB82) | (~v110(constB82))),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9862, 9855])).
% 49.06/31.98 tff(9864,plain,
% 49.06/31.98 (v100(constB82)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9863, 9838])).
% 49.06/31.98 tff(9865,plain,
% 49.06/31.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9866,plain,
% 49.06/31.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9867,plain,
% 49.06/31.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2)),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9866, 9865])).
% 49.06/31.98 tff(9868,plain,
% 49.06/31.98 (v130(constB81, 2)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9867, 1580, 9797])).
% 49.06/31.98 tff(9869,plain,
% 49.06/31.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9870,plain,
% 49.06/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9871,plain,
% 49.06/31.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2)),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9870, 9869])).
% 49.06/31.98 tff(9872,plain,
% 49.06/31.98 (v26(constB81) | v127(constB81, 2)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9871, 1328, 9868])).
% 49.06/31.98 tff(9873,plain,
% 49.06/31.98 (v127(constB81, 2)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9872, 54])).
% 49.06/31.98 tff(9874,plain,
% 49.06/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9875,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9876,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2)),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 49.06/31.98 tff(9877,plain,
% 49.06/31.98 ((~v127(constB81, 2)) | v129(constB82, 2)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9876, 1343, 9830])).
% 49.06/31.98 tff(9878,plain,
% 49.06/31.98 (v129(constB82, 2)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9877, 9873])).
% 49.06/31.98 tff(9879,plain,
% 49.06/31.98 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9880,plain,
% 49.06/31.98 ((v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2))) <=> (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9881,plain,
% 49.06/31.98 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))))),
% 49.06/31.98 inference(monotonicity,[status(thm)],[9880])).
% 49.06/31.98 tff(9882,plain,
% 49.06/31.98 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 49.06/31.98 inference(transitivity,[status(thm)],[9881, 9879])).
% 49.06/31.98 tff(9883,plain,
% 49.06/31.98 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9884,plain,
% 49.06/31.98 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 49.06/31.98 tff(9885,plain,
% 49.06/31.98 (v90(constB82, 2) | (~v100(constB82))),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9884, 1358, 9878])).
% 49.06/31.98 tff(9886,plain,
% 49.06/31.98 (v90(constB82, 2)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9885, 9864])).
% 49.06/31.98 tff(9887,plain,
% 49.06/31.98 ((~v1(constB83)) <=> (~v1(constB83))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9888,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 49.06/31.98 tff(9889,plain,
% 49.06/31.98 (~v1(constB83)),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9888, 9887])).
% 49.06/31.98 tff(9890,plain,
% 49.06/31.98 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9891,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 49.06/31.98 tff(9892,plain,
% 49.06/31.98 (nextState(constB82, constB83)),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 49.06/31.98 tff(9893,plain,
% 49.06/31.98 (((~![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)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9894,plain,
% 49.06/31.98 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9895,plain,
% 49.06/31.98 (((~![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))))),
% 49.06/31.98 inference(monotonicity,[status(thm)],[9894])).
% 49.06/31.98 tff(9896,plain,
% 49.06/31.98 (((~![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)))),
% 49.06/31.98 inference(transitivity,[status(thm)],[9895, 9893])).
% 49.06/31.98 tff(9897,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9898,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9897, 9896])).
% 49.06/31.98 tff(9899,plain,
% 49.06/31.98 (~v101(constB83)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9898, 90, 9892, 9889])).
% 49.06/31.98 tff(9900,plain,
% 49.06/31.98 (((~![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)))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9901,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 49.06/31.98 inference(quant_inst,[status(thm)],[])).
% 49.06/31.98 tff(9902,plain,
% 49.06/31.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 49.06/31.98 inference(modus_ponens,[status(thm)],[9901, 9900])).
% 49.06/31.98 tff(9903,plain,
% 49.06/31.98 (v101(constB83) | (~v100(constB83))),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9902, 107, 9892])).
% 49.06/31.98 tff(9904,plain,
% 49.06/31.98 (~v100(constB83)),
% 49.06/31.98 inference(unit_resolution,[status(thm)],[9903, 9899])).
% 49.06/31.98 tff(9905,plain,
% 49.06/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9906,plain,
% 49.06/31.98 (((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)) <=> ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 49.06/31.98 inference(rewrite,[status(thm)],[])).
% 49.06/31.98 tff(9907,plain,
% 49.06/31.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[9906])).
% 49.06/31.99 tff(9908,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 49.06/31.99 inference(transitivity,[status(thm)],[9907, 9905])).
% 49.06/31.99 tff(9909,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9910,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 49.06/31.99 tff(9911,plain,
% 49.06/31.99 ((~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9910, 1394, 9892])).
% 49.06/31.99 tff(9912,plain,
% 49.06/31.99 ((~v90(constB82, 2)) | v90(constB83, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9911, 9904])).
% 49.06/31.99 tff(9913,plain,
% 49.06/31.99 (v90(constB83, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9912, 9886])).
% 49.06/31.99 tff(9914,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9915,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9916,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 49.06/31.99 tff(9917,plain,
% 49.06/31.99 (~v130(constB81, 1)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9916, 1636, 9797])).
% 49.06/31.99 tff(9918,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9919,plain,
% 49.06/31.99 ((v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1))) <=> ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9920,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[9919])).
% 49.06/31.99 tff(9921,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 49.06/31.99 inference(transitivity,[status(thm)],[9920, 9918])).
% 49.06/31.99 tff(9922,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9923,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 49.06/31.99 tff(9924,plain,
% 49.06/31.99 ((~v127(constB81, 1)) | v26(constB81)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9923, 408, 9917])).
% 49.06/31.99 tff(9925,plain,
% 49.06/31.99 (~v127(constB81, 1)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9924, 54])).
% 49.06/31.99 tff(9926,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9927,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9928,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 49.06/31.99 tff(9929,plain,
% 49.06/31.99 (v127(constB81, 1) | (~v129(constB82, 1))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9928, 438, 9830])).
% 49.06/31.99 tff(9930,plain,
% 49.06/31.99 (~v129(constB82, 1)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9929, 9925])).
% 49.06/31.99 tff(9931,plain,
% 49.06/31.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9932,plain,
% 49.06/31.99 (((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1)) <=> ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9933,plain,
% 49.06/31.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[9932])).
% 49.06/31.99 tff(9934,plain,
% 49.06/31.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 49.06/31.99 inference(transitivity,[status(thm)],[9933, 9931])).
% 49.06/31.99 tff(9935,plain,
% 49.06/31.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9936,plain,
% 49.06/31.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9935, 9934])).
% 49.06/31.99 tff(9937,plain,
% 49.06/31.99 ((~v90(constB82, 1)) | (~v100(constB82))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9936, 453, 9930])).
% 49.06/31.99 tff(9938,plain,
% 49.06/31.99 (~v90(constB82, 1)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9937, 9864])).
% 49.06/31.99 tff(9939,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9940,plain,
% 49.06/31.99 (((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))) <=> (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9941,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[9940])).
% 49.06/31.99 tff(9942,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 49.06/31.99 inference(transitivity,[status(thm)],[9941, 9939])).
% 49.06/31.99 tff(9943,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9944,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9943, 9942])).
% 49.06/31.99 tff(9945,plain,
% 49.06/31.99 (v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9944, 143, 9892])).
% 49.06/31.99 tff(9946,plain,
% 49.06/31.99 (v90(constB82, 1) | (~v90(constB83, 1))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9945, 9904])).
% 49.06/31.99 tff(9947,plain,
% 49.06/31.99 (~v90(constB83, 1)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9946, 9938])).
% 49.06/31.99 tff(9948,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9949,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9950,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 49.06/31.99 tff(9951,plain,
% 49.06/31.99 (v130(constB81, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9950, 1677, 9797])).
% 49.06/31.99 tff(9952,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9953,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9954,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9953, 9952])).
% 49.06/31.99 tff(9955,plain,
% 49.06/31.99 (v26(constB81) | v127(constB81, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9954, 515, 9951])).
% 49.06/31.99 tff(9956,plain,
% 49.06/31.99 (v127(constB81, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9955, 54])).
% 49.06/31.99 tff(9957,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9958,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9959,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9958, 9957])).
% 49.06/31.99 tff(9960,plain,
% 49.06/31.99 ((~v127(constB81, 0)) | v129(constB82, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9959, 530, 9830])).
% 49.06/31.99 tff(9961,plain,
% 49.06/31.99 (v129(constB82, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9960, 9956])).
% 49.06/31.99 tff(9962,plain,
% 49.06/31.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9963,plain,
% 49.06/31.99 ((v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0))) <=> (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9964,plain,
% 49.06/31.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[9963])).
% 49.06/31.99 tff(9965,plain,
% 49.06/31.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 49.06/31.99 inference(transitivity,[status(thm)],[9964, 9962])).
% 49.06/31.99 tff(9966,plain,
% 49.06/31.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9967,plain,
% 49.06/31.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 49.06/31.99 tff(9968,plain,
% 49.06/31.99 (v90(constB82, 0) | (~v100(constB82))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9967, 545, 9961])).
% 49.06/31.99 tff(9969,plain,
% 49.06/31.99 (v90(constB82, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9968, 9864])).
% 49.06/31.99 tff(9970,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9971,plain,
% 49.06/31.99 (((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)) <=> ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9972,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[9971])).
% 49.06/31.99 tff(9973,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 49.06/31.99 inference(transitivity,[status(thm)],[9972, 9970])).
% 49.06/31.99 tff(9974,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9975,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9974, 9973])).
% 49.06/31.99 tff(9976,plain,
% 49.06/31.99 ((~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9975, 563, 9892])).
% 49.06/31.99 tff(9977,plain,
% 49.06/31.99 ((~v90(constB82, 0)) | v90(constB83, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9976, 9904])).
% 49.06/31.99 tff(9978,plain,
% 49.06/31.99 (v90(constB83, 0)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9977, 9969])).
% 49.06/31.99 tff(9979,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9980,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9981,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9980, 9979])).
% 49.06/31.99 tff(9982,plain,
% 49.06/31.99 (v124(constB83)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9981, 1718, 9978, 9947, 9913])).
% 49.06/31.99 tff(9983,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9984,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9985,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 49.06/31.99 tff(9986,plain,
% 49.06/31.99 (v114(constB83)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9985, 1775, 9982])).
% 49.06/31.99 tff(9987,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB83)) | v113(constB83))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9988,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9989,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB83)) | v113(constB83)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9988, 9987])).
% 49.06/31.99 tff(9990,plain,
% 49.06/31.99 (v113(constB83)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9989, 266, 9986])).
% 49.06/31.99 tff(9991,plain,
% 49.06/31.99 (((~![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))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9992,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(9993,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 49.06/31.99 tff(9994,plain,
% 49.06/31.99 (v26(constB83) | v112(constB83)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9993, 280, 9990])).
% 49.06/31.99 tff(9995,plain,
% 49.06/31.99 (v112(constB83)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[9994, 50])).
% 49.06/31.99 tff(9996,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9997,plain,
% 49.06/31.99 (((~v112(constB83)) | v108(constB83)) <=> (v108(constB83) | (~v112(constB83)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(9998,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83))))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[9997])).
% 49.06/31.99 tff(9999,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 49.06/31.99 inference(transitivity,[status(thm)],[9998, 9996])).
% 49.06/31.99 tff(10000,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10001,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10000, 9999])).
% 49.06/31.99 tff(10002,plain,
% 49.06/31.99 (v108(constB83)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10001, 292, 9995])).
% 49.06/31.99 tff(10003,plain,
% 49.06/31.99 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10004,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 49.06/31.99 tff(10005,plain,
% 49.06/31.99 (nextState(constB83, constB84)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 49.06/31.99 tff(10006,plain,
% 49.06/31.99 (((~![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)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10007,plain,
% 49.06/31.99 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10008,plain,
% 49.06/31.99 (((~![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))))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[10007])).
% 49.06/31.99 tff(10009,plain,
% 49.06/31.99 (((~![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)))),
% 49.06/31.99 inference(transitivity,[status(thm)],[10008, 10006])).
% 49.06/31.99 tff(10010,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10011,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 49.06/31.99 tff(10012,plain,
% 49.06/31.99 (v110(constB84) | (~v108(constB83))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10011, 312, 10005])).
% 49.06/31.99 tff(10013,plain,
% 49.06/31.99 (v110(constB84)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10012, 10002])).
% 49.06/31.99 tff(10014,plain,
% 49.06/31.99 (((~![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)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10015,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10016,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 49.06/31.99 tff(10017,plain,
% 49.06/31.99 (~v104(constB84)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10016, 330, 10005, 9889])).
% 49.06/31.99 tff(10018,plain,
% 49.06/31.99 (((~![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)) | v102(constB84) | v104(constB84))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10019,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10020,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 49.06/31.99 tff(10021,plain,
% 49.06/31.99 (v102(constB84) | v104(constB84)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10020, 344, 10005])).
% 49.06/31.99 tff(10022,plain,
% 49.06/31.99 (v102(constB84)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10021, 10017])).
% 49.06/31.99 tff(10023,plain,
% 49.06/31.99 (v1(constB84) <=> v1(constB84)),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10024,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 49.06/31.99 tff(10025,plain,
% 49.06/31.99 (v1(constB84)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10024, 10023])).
% 49.06/31.99 tff(10026,plain,
% 49.06/31.99 (((~![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)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10027,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10028,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 49.06/31.99 tff(10029,plain,
% 49.06/31.99 (v101(constB84) | (~v102(constB84))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10028, 362, 10005, 10025])).
% 49.06/31.99 tff(10030,plain,
% 49.06/31.99 (v101(constB84)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10029, 10022])).
% 49.06/31.99 tff(10031,plain,
% 49.06/31.99 (((~![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)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10032,plain,
% 49.06/31.99 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10033,plain,
% 49.06/31.99 (((~![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))))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[10032])).
% 49.06/31.99 tff(10034,plain,
% 49.06/31.99 (((~![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)))),
% 49.06/31.99 inference(transitivity,[status(thm)],[10033, 10031])).
% 49.06/31.99 tff(10035,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10036,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10035, 10034])).
% 49.06/31.99 tff(10037,plain,
% 49.06/31.99 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10036, 377, 10005])).
% 49.06/31.99 tff(10038,plain,
% 49.06/31.99 (v100(constB84) | (~v110(constB84))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10037, 10030])).
% 49.06/31.99 tff(10039,plain,
% 49.06/31.99 (v100(constB84)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10038, 10013])).
% 49.06/31.99 tff(10040,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10041,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10042,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 49.06/31.99 tff(10043,plain,
% 49.06/31.99 (v130(constB83, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10042, 1729, 9982])).
% 49.06/31.99 tff(10044,plain,
% 49.06/31.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10045,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10046,plain,
% 49.06/31.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10045, 10044])).
% 49.06/31.99 tff(10047,plain,
% 49.06/31.99 (v26(constB83) | v127(constB83, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10046, 1328, 10043])).
% 49.06/31.99 tff(10048,plain,
% 49.06/31.99 (v127(constB83, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10047, 50])).
% 49.06/31.99 tff(10049,plain,
% 49.06/31.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10050,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10051,plain,
% 49.06/31.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10050, 10049])).
% 49.06/31.99 tff(10052,plain,
% 49.06/31.99 ((~v127(constB83, 2)) | v129(constB84, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10051, 1343, 10005])).
% 49.06/31.99 tff(10053,plain,
% 49.06/31.99 (v129(constB84, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10052, 10048])).
% 49.06/31.99 tff(10054,plain,
% 49.06/31.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10055,plain,
% 49.06/31.99 ((v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2))) <=> (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10056,plain,
% 49.06/31.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))))),
% 49.06/31.99 inference(monotonicity,[status(thm)],[10055])).
% 49.06/31.99 tff(10057,plain,
% 49.06/31.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 49.06/31.99 inference(transitivity,[status(thm)],[10056, 10054])).
% 49.06/31.99 tff(10058,plain,
% 49.06/31.99 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))),
% 49.06/31.99 inference(quant_inst,[status(thm)],[])).
% 49.06/31.99 tff(10059,plain,
% 49.06/31.99 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10058, 10057])).
% 49.06/31.99 tff(10060,plain,
% 49.06/31.99 (v90(constB84, 2) | (~v100(constB84))),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10059, 1358, 10053])).
% 49.06/31.99 tff(10061,plain,
% 49.06/31.99 (v90(constB84, 2)),
% 49.06/31.99 inference(unit_resolution,[status(thm)],[10060, 10039])).
% 49.06/31.99 tff(10062,plain,
% 49.06/31.99 ((~v1(constB85)) <=> (~v1(constB85))),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10063,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 49.06/31.99 tff(10064,plain,
% 49.06/31.99 (~v1(constB85)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10063, 10062])).
% 49.06/31.99 tff(10065,plain,
% 49.06/31.99 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 49.06/31.99 inference(rewrite,[status(thm)],[])).
% 49.06/31.99 tff(10066,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 49.06/31.99 tff(10067,plain,
% 49.06/31.99 (nextState(constB84, constB85)),
% 49.06/31.99 inference(modus_ponens,[status(thm)],[10066, 10065])).
% 49.06/31.99 tff(10068,plain,
% 49.06/31.99 (((~![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)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10069,plain,
% 49.06/32.00 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10070,plain,
% 49.06/32.00 (((~![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))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10069])).
% 49.06/32.00 tff(10071,plain,
% 49.06/32.00 (((~![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)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10070, 10068])).
% 49.06/32.00 tff(10072,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10073,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 49.06/32.00 tff(10074,plain,
% 49.06/32.00 (~v101(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10073, 90, 10067, 10064])).
% 49.06/32.00 tff(10075,plain,
% 49.06/32.00 (((~![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)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10076,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10077,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 49.06/32.00 tff(10078,plain,
% 49.06/32.00 (v101(constB85) | (~v100(constB85))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10077, 107, 10067])).
% 49.06/32.00 tff(10079,plain,
% 49.06/32.00 (~v100(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10078, 10074])).
% 49.06/32.00 tff(10080,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10081,plain,
% 49.06/32.00 (((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)) <=> ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10082,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10081])).
% 49.06/32.00 tff(10083,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10082, 10080])).
% 49.06/32.00 tff(10084,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10085,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10084, 10083])).
% 49.06/32.00 tff(10086,plain,
% 49.06/32.00 ((~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10085, 1394, 10067])).
% 49.06/32.00 tff(10087,plain,
% 49.06/32.00 ((~v90(constB84, 2)) | v90(constB85, 2)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10086, 10079])).
% 49.06/32.00 tff(10088,plain,
% 49.06/32.00 (v90(constB85, 2)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10087, 10061])).
% 49.06/32.00 tff(10089,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10090,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10091,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 49.06/32.00 tff(10092,plain,
% 49.06/32.00 (v130(constB83, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10091, 1871, 9982])).
% 49.06/32.00 tff(10093,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10094,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10095,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 49.06/32.00 tff(10096,plain,
% 49.06/32.00 (v26(constB83) | v127(constB83, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10095, 852, 10092])).
% 49.06/32.00 tff(10097,plain,
% 49.06/32.00 (v127(constB83, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10096, 50])).
% 49.06/32.00 tff(10098,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10099,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10100,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10099, 10098])).
% 49.06/32.00 tff(10101,plain,
% 49.06/32.00 ((~v127(constB83, 1)) | v129(constB84, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10100, 867, 10005])).
% 49.06/32.00 tff(10102,plain,
% 49.06/32.00 (v129(constB84, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10101, 10097])).
% 49.06/32.00 tff(10103,plain,
% 49.06/32.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10104,plain,
% 49.06/32.00 ((v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1))) <=> (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10105,plain,
% 49.06/32.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10104])).
% 49.06/32.00 tff(10106,plain,
% 49.06/32.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10105, 10103])).
% 49.06/32.00 tff(10107,plain,
% 49.06/32.00 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10108,plain,
% 49.06/32.00 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 49.06/32.00 tff(10109,plain,
% 49.06/32.00 (v90(constB84, 1) | (~v100(constB84))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10108, 882, 10102])).
% 49.06/32.00 tff(10110,plain,
% 49.06/32.00 (v90(constB84, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10109, 10039])).
% 49.06/32.00 tff(10111,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10112,plain,
% 49.06/32.00 (((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)) <=> ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10113,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10112])).
% 49.06/32.00 tff(10114,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10113, 10111])).
% 49.06/32.00 tff(10115,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10116,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10115, 10114])).
% 49.06/32.00 tff(10117,plain,
% 49.06/32.00 ((~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10116, 900, 10067])).
% 49.06/32.00 tff(10118,plain,
% 49.06/32.00 ((~v90(constB84, 1)) | v90(constB85, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10117, 10079])).
% 49.06/32.00 tff(10119,plain,
% 49.06/32.00 (v90(constB85, 1)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10118, 10110])).
% 49.06/32.00 tff(10120,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10121,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10122,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10121, 10120])).
% 49.06/32.00 tff(10123,plain,
% 49.06/32.00 (~v130(constB83, 0)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10122, 1909, 9982])).
% 49.06/32.00 tff(10124,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10125,plain,
% 49.06/32.00 ((v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0))) <=> ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10126,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10125])).
% 49.06/32.00 tff(10127,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10126, 10124])).
% 49.06/32.00 tff(10128,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10129,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10128, 10127])).
% 49.06/32.00 tff(10130,plain,
% 49.06/32.00 ((~v127(constB83, 0)) | v26(constB83)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10129, 930, 10123])).
% 49.06/32.00 tff(10131,plain,
% 49.06/32.00 (~v127(constB83, 0)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10130, 50])).
% 49.06/32.00 tff(10132,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10133,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10134,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 49.06/32.00 tff(10135,plain,
% 49.06/32.00 (v127(constB83, 0) | (~v129(constB84, 0))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10134, 948, 10005])).
% 49.06/32.00 tff(10136,plain,
% 49.06/32.00 (~v129(constB84, 0)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10135, 10131])).
% 49.06/32.00 tff(10137,plain,
% 49.06/32.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10138,plain,
% 49.06/32.00 (((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0)) <=> ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10139,plain,
% 49.06/32.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10138])).
% 49.06/32.00 tff(10140,plain,
% 49.06/32.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10139, 10137])).
% 49.06/32.00 tff(10141,plain,
% 49.06/32.00 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10142,plain,
% 49.06/32.00 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10141, 10140])).
% 49.06/32.00 tff(10143,plain,
% 49.06/32.00 ((~v90(constB84, 0)) | (~v100(constB84))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10142, 963, 10136])).
% 49.06/32.00 tff(10144,plain,
% 49.06/32.00 (~v90(constB84, 0)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10143, 10039])).
% 49.06/32.00 tff(10145,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10146,plain,
% 49.06/32.00 (((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))) <=> (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10147,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10146])).
% 49.06/32.00 tff(10148,plain,
% 49.06/32.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10147, 10145])).
% 49.06/32.00 tff(10149,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10150,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10149, 10148])).
% 49.06/32.00 tff(10151,plain,
% 49.06/32.00 (v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10150, 164, 10067])).
% 49.06/32.00 tff(10152,plain,
% 49.06/32.00 (v90(constB84, 0) | (~v90(constB85, 0))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10151, 10079])).
% 49.06/32.00 tff(10153,plain,
% 49.06/32.00 (~v90(constB85, 0)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10152, 10144])).
% 49.06/32.00 tff(10154,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10155,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10156,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10155, 10154])).
% 49.06/32.00 tff(10157,plain,
% 49.06/32.00 (v125(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10156, 1953, 10153, 10119, 10088])).
% 49.06/32.00 tff(10158,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10159,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10160,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10159, 10158])).
% 49.06/32.00 tff(10161,plain,
% 49.06/32.00 (v113(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10160, 1964, 10157])).
% 49.06/32.00 tff(10162,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10163,plain,
% 49.06/32.00 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10164,plain,
% 49.06/32.00 (((~![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) | v112(constB85) | (~v113(constB85))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10163])).
% 49.06/32.00 tff(10165,plain,
% 49.06/32.00 (((~![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) | v112(constB85) | (~v113(constB85)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10164, 10162])).
% 49.06/32.00 tff(10166,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10167,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10166, 10165])).
% 49.06/32.00 tff(10168,plain,
% 49.06/32.00 (v26(constB85) | v112(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10167, 280, 10161])).
% 49.06/32.00 tff(10169,plain,
% 49.06/32.00 (v112(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10168, 46])).
% 49.06/32.00 tff(10170,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10171,plain,
% 49.06/32.00 (((~v112(constB85)) | v108(constB85)) <=> (v108(constB85) | (~v112(constB85)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10172,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10171])).
% 49.06/32.00 tff(10173,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10172, 10170])).
% 49.06/32.00 tff(10174,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10175,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 49.06/32.00 tff(10176,plain,
% 49.06/32.00 (v108(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10175, 292, 10169])).
% 49.06/32.00 tff(10177,plain,
% 49.06/32.00 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10178,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 49.06/32.00 tff(10179,plain,
% 49.06/32.00 (nextState(constB85, constB86)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 49.06/32.00 tff(10180,plain,
% 49.06/32.00 (((~![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)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10181,plain,
% 49.06/32.00 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10182,plain,
% 49.06/32.00 (((~![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))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10181])).
% 49.06/32.00 tff(10183,plain,
% 49.06/32.00 (((~![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)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10182, 10180])).
% 49.06/32.00 tff(10184,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10185,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 49.06/32.00 tff(10186,plain,
% 49.06/32.00 (v110(constB86) | (~v108(constB85))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10185, 312, 10179])).
% 49.06/32.00 tff(10187,plain,
% 49.06/32.00 (v110(constB86)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10186, 10176])).
% 49.06/32.00 tff(10188,plain,
% 49.06/32.00 (((~![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)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10189,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10190,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10189, 10188])).
% 49.06/32.00 tff(10191,plain,
% 49.06/32.00 (~v104(constB86)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10190, 330, 10179, 10064])).
% 49.06/32.00 tff(10192,plain,
% 49.06/32.00 (((~![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)) | v102(constB86) | v104(constB86))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10193,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10194,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10193, 10192])).
% 49.06/32.00 tff(10195,plain,
% 49.06/32.00 (v102(constB86) | v104(constB86)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10194, 344, 10179])).
% 49.06/32.00 tff(10196,plain,
% 49.06/32.00 (v102(constB86)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10195, 10191])).
% 49.06/32.00 tff(10197,plain,
% 49.06/32.00 (v1(constB86) <=> v1(constB86)),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10198,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 49.06/32.00 tff(10199,plain,
% 49.06/32.00 (v1(constB86)),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10198, 10197])).
% 49.06/32.00 tff(10200,plain,
% 49.06/32.00 (((~![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)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10201,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10202,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10201, 10200])).
% 49.06/32.00 tff(10203,plain,
% 49.06/32.00 (v101(constB86) | (~v102(constB86))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10202, 362, 10179, 10199])).
% 49.06/32.00 tff(10204,plain,
% 49.06/32.00 (v101(constB86)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10203, 10196])).
% 49.06/32.00 tff(10205,plain,
% 49.06/32.00 (((~![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)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10206,plain,
% 49.06/32.00 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10207,plain,
% 49.06/32.00 (((~![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))))),
% 49.06/32.00 inference(monotonicity,[status(thm)],[10206])).
% 49.06/32.00 tff(10208,plain,
% 49.06/32.00 (((~![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)))),
% 49.06/32.00 inference(transitivity,[status(thm)],[10207, 10205])).
% 49.06/32.00 tff(10209,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10210,plain,
% 49.06/32.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10209, 10208])).
% 49.06/32.00 tff(10211,plain,
% 49.06/32.00 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10210, 377, 10179])).
% 49.06/32.00 tff(10212,plain,
% 49.06/32.00 (v100(constB86) | (~v110(constB86))),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10211, 10204])).
% 49.06/32.00 tff(10213,plain,
% 49.06/32.00 (v100(constB86)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10212, 10187])).
% 49.06/32.00 tff(10214,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10215,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))),
% 49.06/32.00 inference(quant_inst,[status(thm)],[])).
% 49.06/32.00 tff(10216,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2))),
% 49.06/32.00 inference(modus_ponens,[status(thm)],[10215, 10214])).
% 49.06/32.00 tff(10217,plain,
% 49.06/32.00 (~v121(constB85)),
% 49.06/32.00 inference(unit_resolution,[status(thm)],[10216, 2028, 10088])).
% 49.06/32.00 tff(10218,plain,
% 49.06/32.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2)))),
% 49.06/32.00 inference(rewrite,[status(thm)],[])).
% 49.06/32.00 tff(10219,plain,
% 49.06/32.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10220,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 49.06/32.01 tff(10221,plain,
% 49.06/32.01 (~v122(constB85)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10220, 2039, 10088])).
% 49.06/32.01 tff(10222,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10223,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10224,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10223, 10222])).
% 49.06/32.01 tff(10225,plain,
% 49.06/32.01 (~v119(constB85)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10224, 2050, 10119])).
% 49.06/32.01 tff(10226,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10227,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10228,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10227, 10226])).
% 49.06/32.01 tff(10229,plain,
% 49.06/32.01 (~v120(constB85)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10228, 2061, 10119])).
% 49.06/32.01 tff(10230,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10231,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10232,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 49.06/32.01 tff(10233,plain,
% 49.06/32.01 (~v123(constB85)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10232, 2072, 10119])).
% 49.06/32.01 tff(10234,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10235,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10236,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10235, 10234])).
% 49.06/32.01 tff(10237,plain,
% 49.06/32.01 (~v124(constB85)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10236, 2083, 10119])).
% 49.06/32.01 tff(10238,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10239,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10240,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10239, 10238])).
% 49.06/32.01 tff(10241,plain,
% 49.06/32.01 (~v130(constB85, 2)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10240, 2097, 10237, 10233, 10229, 10225, 10221, 10217])).
% 49.06/32.01 tff(10242,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10243,plain,
% 49.06/32.01 ((v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2))) <=> ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10244,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10243])).
% 49.06/32.01 tff(10245,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10244, 10242])).
% 49.06/32.01 tff(10246,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10247,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10246, 10245])).
% 49.06/32.01 tff(10248,plain,
% 49.06/32.01 ((~v127(constB85, 2)) | v26(constB85)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10247, 593, 10241])).
% 49.06/32.01 tff(10249,plain,
% 49.06/32.01 (~v127(constB85, 2)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10248, 46])).
% 49.06/32.01 tff(10250,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10251,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10252,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10251, 10250])).
% 49.06/32.01 tff(10253,plain,
% 49.06/32.01 (v127(constB85, 2) | (~v129(constB86, 2))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10252, 611, 10179])).
% 49.06/32.01 tff(10254,plain,
% 49.06/32.01 (~v129(constB86, 2)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10253, 10249])).
% 49.06/32.01 tff(10255,plain,
% 49.06/32.01 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10256,plain,
% 49.06/32.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10257,plain,
% 49.06/32.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 49.06/32.01 tff(10258,plain,
% 49.06/32.01 ((~v90(constB86, 2)) | (~v100(constB86))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10257, 626, 10254])).
% 49.06/32.01 tff(10259,plain,
% 49.06/32.01 (~v90(constB86, 2)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10258, 10213])).
% 49.06/32.01 tff(10260,plain,
% 49.06/32.01 ((~v1(constB87)) <=> (~v1(constB87))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10261,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 49.06/32.01 tff(10262,plain,
% 49.06/32.01 (~v1(constB87)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 49.06/32.01 tff(10263,plain,
% 49.06/32.01 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10264,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 49.06/32.01 tff(10265,plain,
% 49.06/32.01 (nextState(constB86, constB87)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10264, 10263])).
% 49.06/32.01 tff(10266,plain,
% 49.06/32.01 (((~![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)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10267,plain,
% 49.06/32.01 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10268,plain,
% 49.06/32.01 (((~![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))))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10267])).
% 49.06/32.01 tff(10269,plain,
% 49.06/32.01 (((~![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)))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10268, 10266])).
% 49.06/32.01 tff(10270,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10271,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 49.06/32.01 tff(10272,plain,
% 49.06/32.01 (~v101(constB87)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10271, 90, 10265, 10262])).
% 49.06/32.01 tff(10273,plain,
% 49.06/32.01 (((~![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)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10274,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10275,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 49.06/32.01 tff(10276,plain,
% 49.06/32.01 (v101(constB87) | (~v100(constB87))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10275, 107, 10265])).
% 49.06/32.01 tff(10277,plain,
% 49.06/32.01 (~v100(constB87)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10276, 10272])).
% 49.06/32.01 tff(10278,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10279,plain,
% 49.06/32.01 (((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))) <=> (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10280,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10279])).
% 49.06/32.01 tff(10281,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10280, 10278])).
% 49.06/32.01 tff(10282,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10283,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10282, 10281])).
% 49.06/32.01 tff(10284,plain,
% 49.06/32.01 (v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10283, 122, 10265])).
% 49.06/32.01 tff(10285,plain,
% 49.06/32.01 (v90(constB86, 2) | (~v90(constB87, 2))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10284, 10277])).
% 49.06/32.01 tff(10286,plain,
% 49.06/32.01 (~v90(constB87, 2)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10285, 10259])).
% 49.06/32.01 tff(10287,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10288,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10289,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 49.06/32.01 tff(10290,plain,
% 49.06/32.01 (~v130(constB85, 1)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10289, 2156, 10237, 10233, 10229, 10225, 10221, 10217])).
% 49.06/32.01 tff(10291,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10292,plain,
% 49.06/32.01 ((v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1))) <=> ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10293,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10292])).
% 49.06/32.01 tff(10294,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10293, 10291])).
% 49.06/32.01 tff(10295,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10296,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10295, 10294])).
% 49.06/32.01 tff(10297,plain,
% 49.06/32.01 ((~v127(constB85, 1)) | v26(constB85)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10296, 408, 10290])).
% 49.06/32.01 tff(10298,plain,
% 49.06/32.01 (~v127(constB85, 1)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10297, 46])).
% 49.06/32.01 tff(10299,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10300,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10301,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 49.06/32.01 tff(10302,plain,
% 49.06/32.01 (v127(constB85, 1) | (~v129(constB86, 1))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10301, 438, 10179])).
% 49.06/32.01 tff(10303,plain,
% 49.06/32.01 (~v129(constB86, 1)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10302, 10298])).
% 49.06/32.01 tff(10304,plain,
% 49.06/32.01 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10305,plain,
% 49.06/32.01 (((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1)) <=> ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10306,plain,
% 49.06/32.01 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10305])).
% 49.06/32.01 tff(10307,plain,
% 49.06/32.01 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10306, 10304])).
% 49.06/32.01 tff(10308,plain,
% 49.06/32.01 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10309,plain,
% 49.06/32.01 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10308, 10307])).
% 49.06/32.01 tff(10310,plain,
% 49.06/32.01 ((~v90(constB86, 1)) | (~v100(constB86))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10309, 453, 10303])).
% 49.06/32.01 tff(10311,plain,
% 49.06/32.01 (~v90(constB86, 1)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10310, 10213])).
% 49.06/32.01 tff(10312,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10313,plain,
% 49.06/32.01 (((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))) <=> (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10314,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10313])).
% 49.06/32.01 tff(10315,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10314, 10312])).
% 49.06/32.01 tff(10316,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10317,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10316, 10315])).
% 49.06/32.01 tff(10318,plain,
% 49.06/32.01 (v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10317, 143, 10265])).
% 49.06/32.01 tff(10319,plain,
% 49.06/32.01 (v90(constB86, 1) | (~v90(constB87, 1))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10318, 10277])).
% 49.06/32.01 tff(10320,plain,
% 49.06/32.01 (~v90(constB87, 1)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10319, 10311])).
% 49.06/32.01 tff(10321,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10322,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10323,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 49.06/32.01 tff(10324,plain,
% 49.06/32.01 (v130(constB85, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10323, 2200, 10237, 10233, 10229, 10225, 10221, 10217])).
% 49.06/32.01 tff(10325,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10326,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10327,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 49.06/32.01 tff(10328,plain,
% 49.06/32.01 (v26(constB85) | v127(constB85, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10327, 515, 10324])).
% 49.06/32.01 tff(10329,plain,
% 49.06/32.01 (v127(constB85, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10328, 46])).
% 49.06/32.01 tff(10330,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10331,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10332,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 49.06/32.01 tff(10333,plain,
% 49.06/32.01 ((~v127(constB85, 0)) | v129(constB86, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10332, 530, 10179])).
% 49.06/32.01 tff(10334,plain,
% 49.06/32.01 (v129(constB86, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10333, 10329])).
% 49.06/32.01 tff(10335,plain,
% 49.06/32.01 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10336,plain,
% 49.06/32.01 ((v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0))) <=> (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10337,plain,
% 49.06/32.01 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10336])).
% 49.06/32.01 tff(10338,plain,
% 49.06/32.01 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10337, 10335])).
% 49.06/32.01 tff(10339,plain,
% 49.06/32.01 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10340,plain,
% 49.06/32.01 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10339, 10338])).
% 49.06/32.01 tff(10341,plain,
% 49.06/32.01 (v90(constB86, 0) | (~v100(constB86))),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10340, 545, 10334])).
% 49.06/32.01 tff(10342,plain,
% 49.06/32.01 (v90(constB86, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10341, 10213])).
% 49.06/32.01 tff(10343,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10344,plain,
% 49.06/32.01 (((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)) <=> ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10345,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10344])).
% 49.06/32.01 tff(10346,plain,
% 49.06/32.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10345, 10343])).
% 49.06/32.01 tff(10347,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10348,plain,
% 49.06/32.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10347, 10346])).
% 49.06/32.01 tff(10349,plain,
% 49.06/32.01 ((~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10348, 563, 10265])).
% 49.06/32.01 tff(10350,plain,
% 49.06/32.01 ((~v90(constB86, 0)) | v90(constB87, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10349, 10277])).
% 49.06/32.01 tff(10351,plain,
% 49.06/32.01 (v90(constB87, 0)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10350, 10342])).
% 49.06/32.01 tff(10352,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10353,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10354,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10353, 10352])).
% 49.06/32.01 tff(10355,plain,
% 49.06/32.01 (v120(constB87)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10354, 651, 10351, 10320, 10286])).
% 49.06/32.01 tff(10356,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB87)) | v118(constB87))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10357,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10358,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB87)) | v118(constB87)),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10357, 10356])).
% 49.06/32.01 tff(10359,plain,
% 49.06/32.01 (v118(constB87)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10358, 665, 10355])).
% 49.06/32.01 tff(10360,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10361,plain,
% 49.06/32.01 (((~v118(constB87)) | v117(constB87)) <=> (v117(constB87) | (~v118(constB87)))),
% 49.06/32.01 inference(rewrite,[status(thm)],[])).
% 49.06/32.01 tff(10362,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87))))),
% 49.06/32.01 inference(monotonicity,[status(thm)],[10361])).
% 49.06/32.01 tff(10363,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 49.06/32.01 inference(transitivity,[status(thm)],[10362, 10360])).
% 49.06/32.01 tff(10364,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))),
% 49.06/32.01 inference(quant_inst,[status(thm)],[])).
% 49.06/32.01 tff(10365,plain,
% 49.06/32.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87))),
% 49.06/32.01 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 49.06/32.01 tff(10366,plain,
% 49.06/32.01 (v117(constB87)),
% 49.06/32.01 inference(unit_resolution,[status(thm)],[10365, 210, 10359])).
% 49.06/32.01 tff(10367,plain,
% 49.06/32.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10368,plain,
% 49.06/32.02 (((~v117(constB87)) | v116(constB87)) <=> (v116(constB87) | (~v117(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10369,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10368])).
% 49.06/32.02 tff(10370,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10369, 10367])).
% 49.06/32.02 tff(10371,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10372,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10371, 10370])).
% 49.06/32.02 tff(10373,plain,
% 49.06/32.02 (v116(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10372, 224, 10366])).
% 49.06/32.02 tff(10374,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10375,plain,
% 49.06/32.02 (((~v116(constB87)) | v115(constB87)) <=> (v115(constB87) | (~v116(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10376,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10375])).
% 49.06/32.02 tff(10377,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10376, 10374])).
% 49.06/32.02 tff(10378,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10379,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10378, 10377])).
% 49.06/32.02 tff(10380,plain,
% 49.06/32.02 (v115(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10379, 238, 10373])).
% 49.06/32.02 tff(10381,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10382,plain,
% 49.06/32.02 (((~v115(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v115(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10383,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10382])).
% 49.06/32.02 tff(10384,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10383, 10381])).
% 49.06/32.02 tff(10385,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10386,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10385, 10384])).
% 49.06/32.02 tff(10387,plain,
% 49.06/32.02 (v114(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10386, 252, 10380])).
% 49.06/32.02 tff(10388,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10389,plain,
% 49.06/32.02 (((~v114(constB87)) | v113(constB87)) <=> (v113(constB87) | (~v114(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10390,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10389])).
% 49.06/32.02 tff(10391,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10390, 10388])).
% 49.06/32.02 tff(10392,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10393,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10392, 10391])).
% 49.06/32.02 tff(10394,plain,
% 49.06/32.02 (v113(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10393, 266, 10387])).
% 49.06/32.02 tff(10395,assumption,(~v108(constB87)), introduced(assumption)).
% 49.06/32.02 tff(10396,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10397,plain,
% 49.06/32.02 (((~v112(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v112(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10398,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10397])).
% 49.06/32.02 tff(10399,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10398, 10396])).
% 49.06/32.02 tff(10400,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10401,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10400, 10399])).
% 49.06/32.02 tff(10402,plain,
% 49.06/32.02 (~v112(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10401, 292, 10395])).
% 49.06/32.02 tff(10403,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10404,plain,
% 49.06/32.02 (((~v26(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v26(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10405,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v26(constB87))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10404])).
% 49.06/32.02 tff(10406,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10405, 10403])).
% 49.06/32.02 tff(10407,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10408,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10407, 10406])).
% 49.06/32.02 tff(10409,plain,
% 49.06/32.02 (~v26(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10408, 1761, 10395])).
% 49.06/32.02 tff(10410,assumption,(v113(constB87)), introduced(assumption)).
% 49.06/32.02 tff(10411,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10412,plain,
% 49.06/32.02 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10413,plain,
% 49.06/32.02 (((~![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))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10412])).
% 49.06/32.02 tff(10414,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10413, 10411])).
% 49.06/32.02 tff(10415,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10416,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10415, 10414])).
% 49.06/32.02 tff(10417,plain,
% 49.06/32.02 (v26(constB87) | v112(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10416, 280, 10410])).
% 49.06/32.02 tff(10418,plain,
% 49.06/32.02 ($false),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10417, 10409, 10402])).
% 49.06/32.02 tff(10419,plain,(v108(constB87) | (~v113(constB87))), inference(lemma,lemma(discharge,[]))).
% 49.06/32.02 tff(10420,plain,
% 49.06/32.02 (v108(constB87)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10419, 10394])).
% 49.06/32.02 tff(10421,plain,
% 49.06/32.02 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10422,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 49.06/32.02 tff(10423,plain,
% 49.06/32.02 (nextState(constB87, constB88)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 49.06/32.02 tff(10424,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10425,plain,
% 49.06/32.02 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10426,plain,
% 49.06/32.02 (((~![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))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10425])).
% 49.06/32.02 tff(10427,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10426, 10424])).
% 49.06/32.02 tff(10428,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10429,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10428, 10427])).
% 49.06/32.02 tff(10430,plain,
% 49.06/32.02 (v110(constB88) | (~v108(constB87))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10429, 312, 10423])).
% 49.06/32.02 tff(10431,plain,
% 49.06/32.02 (v110(constB88)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10430, 10420])).
% 49.06/32.02 tff(10432,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10433,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10434,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10433, 10432])).
% 49.06/32.02 tff(10435,plain,
% 49.06/32.02 (~v104(constB88)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10434, 330, 10423, 10262])).
% 49.06/32.02 tff(10436,plain,
% 49.06/32.02 (((~![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)) | v102(constB88) | v104(constB88))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10437,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10438,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10437, 10436])).
% 49.06/32.02 tff(10439,plain,
% 49.06/32.02 (v102(constB88) | v104(constB88)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10438, 344, 10423])).
% 49.06/32.02 tff(10440,plain,
% 49.06/32.02 (v102(constB88)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10439, 10435])).
% 49.06/32.02 tff(10441,plain,
% 49.06/32.02 (v1(constB88) <=> v1(constB88)),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10442,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 49.06/32.02 tff(10443,plain,
% 49.06/32.02 (v1(constB88)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 49.06/32.02 tff(10444,plain,
% 49.06/32.02 (((~![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)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10445,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10446,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10445, 10444])).
% 49.06/32.02 tff(10447,plain,
% 49.06/32.02 (v101(constB88) | (~v102(constB88))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10446, 362, 10423, 10443])).
% 49.06/32.02 tff(10448,plain,
% 49.06/32.02 (v101(constB88)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10447, 10440])).
% 49.06/32.02 tff(10449,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10450,plain,
% 49.06/32.02 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10451,plain,
% 49.06/32.02 (((~![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))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10450])).
% 49.06/32.02 tff(10452,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10451, 10449])).
% 49.06/32.02 tff(10453,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10454,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 49.06/32.02 tff(10455,plain,
% 49.06/32.02 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10454, 377, 10423])).
% 49.06/32.02 tff(10456,plain,
% 49.06/32.02 (v100(constB88) | (~v110(constB88))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10455, 10448])).
% 49.06/32.02 tff(10457,plain,
% 49.06/32.02 (v100(constB88)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10456, 10431])).
% 49.06/32.02 tff(10458,assumption,(v120(constB87)), introduced(assumption)).
% 49.06/32.02 tff(10459,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10460,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10461,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 49.06/32.02 tff(10462,plain,
% 49.06/32.02 (~v130(constB87, 2)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10461, 767, 10458])).
% 49.06/32.02 tff(10463,assumption,(v26(constB87)), introduced(assumption)).
% 49.06/32.02 tff(10464,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10465,plain,
% 49.06/32.02 ($false),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10464, 43, 10463])).
% 49.06/32.02 tff(10466,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.02 tff(10467,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10468,plain,
% 49.06/32.02 ((v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2))) <=> ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10469,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10468])).
% 49.06/32.02 tff(10470,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10469, 10467])).
% 49.06/32.02 tff(10471,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10472,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10471, 10470])).
% 49.06/32.02 tff(10473,plain,
% 49.06/32.02 ((~v127(constB87, 2)) | v130(constB87, 2)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10472, 593, 10466])).
% 49.06/32.02 tff(10474,plain,
% 49.06/32.02 (~v127(constB87, 2)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10473, 10462])).
% 49.06/32.02 tff(10475,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10476,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10477,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10476, 10475])).
% 49.06/32.02 tff(10478,plain,
% 49.06/32.02 (v127(constB87, 2) | (~v129(constB88, 2))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10477, 611, 10423])).
% 49.06/32.02 tff(10479,plain,
% 49.06/32.02 (~v129(constB88, 2)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10478, 10474])).
% 49.06/32.02 tff(10480,assumption,(v100(constB88)), introduced(assumption)).
% 49.06/32.02 tff(10481,plain,
% 49.06/32.02 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10482,plain,
% 49.06/32.02 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10483,plain,
% 49.06/32.02 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 49.06/32.02 tff(10484,plain,
% 49.06/32.02 ((~v90(constB88, 2)) | v129(constB88, 2)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10483, 626, 10480])).
% 49.06/32.02 tff(10485,plain,
% 49.06/32.02 (~v90(constB88, 2)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10484, 10479])).
% 49.06/32.02 tff(10486,plain,
% 49.06/32.02 ((~v1(constB89)) <=> (~v1(constB89))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10487,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 49.06/32.02 tff(10488,plain,
% 49.06/32.02 (~v1(constB89)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 49.06/32.02 tff(10489,plain,
% 49.06/32.02 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10490,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 49.06/32.02 tff(10491,plain,
% 49.06/32.02 (nextState(constB88, constB89)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10490, 10489])).
% 49.06/32.02 tff(10492,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10493,plain,
% 49.06/32.02 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10494,plain,
% 49.06/32.02 (((~![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))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10493])).
% 49.06/32.02 tff(10495,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10494, 10492])).
% 49.06/32.02 tff(10496,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10497,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10496, 10495])).
% 49.06/32.02 tff(10498,plain,
% 49.06/32.02 (~v101(constB89)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10497, 90, 10491, 10488])).
% 49.06/32.02 tff(10499,plain,
% 49.06/32.02 (((~![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)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10500,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10501,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10500, 10499])).
% 49.06/32.02 tff(10502,plain,
% 49.06/32.02 (v101(constB89) | (~v100(constB89))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10501, 107, 10491])).
% 49.06/32.02 tff(10503,plain,
% 49.06/32.02 (~v100(constB89)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10502, 10498])).
% 49.06/32.02 tff(10504,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10505,plain,
% 49.06/32.02 (((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))) <=> (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10506,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10505])).
% 49.06/32.02 tff(10507,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10506, 10504])).
% 49.06/32.02 tff(10508,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10509,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10508, 10507])).
% 49.06/32.02 tff(10510,plain,
% 49.06/32.02 (v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10509, 122, 10491])).
% 49.06/32.02 tff(10511,plain,
% 49.06/32.02 (v90(constB88, 2) | (~v90(constB89, 2))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10510, 10503])).
% 49.06/32.02 tff(10512,plain,
% 49.06/32.02 (~v90(constB89, 2)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10511, 10485])).
% 49.06/32.02 tff(10513,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10514,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10515,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10514, 10513])).
% 49.06/32.02 tff(10516,plain,
% 49.06/32.02 (v130(constB87, 1)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10515, 838, 10458])).
% 49.06/32.02 tff(10517,plain,
% 49.06/32.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10518,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10519,plain,
% 49.06/32.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 49.06/32.02 tff(10520,plain,
% 49.06/32.02 ((~v130(constB87, 1)) | v127(constB87, 1)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10519, 852, 10466])).
% 49.06/32.02 tff(10521,plain,
% 49.06/32.02 (v127(constB87, 1)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10520, 10516])).
% 49.06/32.02 tff(10522,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10523,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10524,plain,
% 49.06/32.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1)),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 49.06/32.02 tff(10525,plain,
% 49.06/32.02 ((~v127(constB87, 1)) | v129(constB88, 1)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10524, 867, 10423])).
% 49.06/32.02 tff(10526,plain,
% 49.06/32.02 (v129(constB88, 1)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10525, 10521])).
% 49.06/32.02 tff(10527,plain,
% 49.06/32.02 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10528,plain,
% 49.06/32.02 ((v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1))) <=> (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10529,plain,
% 49.06/32.02 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10528])).
% 49.06/32.02 tff(10530,plain,
% 49.06/32.02 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10529, 10527])).
% 49.06/32.02 tff(10531,plain,
% 49.06/32.02 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))),
% 49.06/32.02 inference(quant_inst,[status(thm)],[])).
% 49.06/32.02 tff(10532,plain,
% 49.06/32.02 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))),
% 49.06/32.02 inference(modus_ponens,[status(thm)],[10531, 10530])).
% 49.06/32.02 tff(10533,plain,
% 49.06/32.02 (v90(constB88, 1) | (~v129(constB88, 1))),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10532, 882, 10480])).
% 49.06/32.02 tff(10534,plain,
% 49.06/32.02 (v90(constB88, 1)),
% 49.06/32.02 inference(unit_resolution,[status(thm)],[10533, 10526])).
% 49.06/32.02 tff(10535,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10536,plain,
% 49.06/32.02 (((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)) <=> ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 49.06/32.02 inference(rewrite,[status(thm)],[])).
% 49.06/32.02 tff(10537,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)))),
% 49.06/32.02 inference(monotonicity,[status(thm)],[10536])).
% 49.06/32.02 tff(10538,plain,
% 49.06/32.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 49.06/32.02 inference(transitivity,[status(thm)],[10537, 10535])).
% 49.06/32.03 tff(10539,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10540,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10539, 10538])).
% 49.06/32.03 tff(10541,plain,
% 49.06/32.03 ((~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10540, 900, 10491])).
% 49.06/32.03 tff(10542,plain,
% 49.06/32.03 ((~v90(constB88, 1)) | v90(constB89, 1)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10541, 10503])).
% 49.06/32.03 tff(10543,plain,
% 49.06/32.03 (v90(constB89, 1)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10542, 10534])).
% 49.06/32.03 tff(10544,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10545,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10546,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 49.06/32.03 tff(10547,plain,
% 49.06/32.03 (~v130(constB87, 0)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10546, 916, 10458])).
% 49.06/32.03 tff(10548,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10549,plain,
% 49.06/32.03 ((v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0))) <=> ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10550,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10549])).
% 49.06/32.03 tff(10551,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10550, 10548])).
% 49.06/32.03 tff(10552,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10553,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10552, 10551])).
% 49.06/32.03 tff(10554,plain,
% 49.06/32.03 ((~v127(constB87, 0)) | v130(constB87, 0)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10553, 930, 10466])).
% 49.06/32.03 tff(10555,plain,
% 49.06/32.03 (~v127(constB87, 0)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10554, 10547])).
% 49.06/32.03 tff(10556,plain,
% 49.06/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10557,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10558,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10557, 10556])).
% 49.06/32.03 tff(10559,plain,
% 49.06/32.03 (v127(constB87, 0) | (~v129(constB88, 0))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10558, 948, 10423])).
% 49.06/32.03 tff(10560,plain,
% 49.06/32.03 (~v129(constB88, 0)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10559, 10555])).
% 49.06/32.03 tff(10561,plain,
% 49.06/32.03 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10562,plain,
% 49.06/32.03 (((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0)) <=> ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10563,plain,
% 49.06/32.03 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10562])).
% 49.06/32.03 tff(10564,plain,
% 49.06/32.03 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10563, 10561])).
% 49.06/32.03 tff(10565,plain,
% 49.06/32.03 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10566,plain,
% 49.06/32.03 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 49.06/32.03 tff(10567,plain,
% 49.06/32.03 ((~v90(constB88, 0)) | v129(constB88, 0)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10566, 963, 10480])).
% 49.06/32.03 tff(10568,plain,
% 49.06/32.03 (~v90(constB88, 0)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10567, 10560])).
% 49.06/32.03 tff(10569,plain,
% 49.06/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10570,plain,
% 49.06/32.03 (((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))) <=> (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10571,plain,
% 49.06/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10570])).
% 49.06/32.03 tff(10572,plain,
% 49.06/32.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10571, 10569])).
% 49.06/32.03 tff(10573,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10574,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10573, 10572])).
% 49.06/32.03 tff(10575,plain,
% 49.06/32.03 (v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10574, 164, 10491])).
% 49.06/32.03 tff(10576,plain,
% 49.06/32.03 (v90(constB88, 0) | (~v90(constB89, 0))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10575, 10503])).
% 49.06/32.03 tff(10577,plain,
% 49.06/32.03 (~v90(constB89, 0)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10576, 10568])).
% 49.06/32.03 tff(10578,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10579,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10580,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10579, 10578])).
% 49.06/32.03 tff(10581,plain,
% 49.06/32.03 (v121(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10580, 990, 10577, 10543, 10512])).
% 49.06/32.03 tff(10582,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10583,plain,
% 49.06/32.03 (((~v121(constB89)) | v117(constB89)) <=> (v117(constB89) | (~v121(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10584,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10583])).
% 49.06/32.03 tff(10585,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10584, 10582])).
% 49.06/32.03 tff(10586,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10587,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10586, 10585])).
% 49.06/32.03 tff(10588,plain,
% 49.06/32.03 (v117(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10587, 1001, 10581])).
% 49.06/32.03 tff(10589,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10590,plain,
% 49.06/32.03 (((~v117(constB89)) | v116(constB89)) <=> (v116(constB89) | (~v117(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10591,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10590])).
% 49.06/32.03 tff(10592,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10591, 10589])).
% 49.06/32.03 tff(10593,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10594,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 49.06/32.03 tff(10595,plain,
% 49.06/32.03 (v116(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10594, 224, 10588])).
% 49.06/32.03 tff(10596,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10597,plain,
% 49.06/32.03 (((~v116(constB89)) | v115(constB89)) <=> (v115(constB89) | (~v116(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10598,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10597])).
% 49.06/32.03 tff(10599,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10598, 10596])).
% 49.06/32.03 tff(10600,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10601,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 49.06/32.03 tff(10602,plain,
% 49.06/32.03 (v115(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10601, 238, 10595])).
% 49.06/32.03 tff(10603,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB89)) | v114(constB89))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10604,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10605,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB89)) | v114(constB89)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10604, 10603])).
% 49.06/32.03 tff(10606,plain,
% 49.06/32.03 (v114(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10605, 252, 10602])).
% 49.06/32.03 tff(10607,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10608,plain,
% 49.06/32.03 (((~v114(constB89)) | v113(constB89)) <=> (v113(constB89) | (~v114(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10609,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10608])).
% 49.06/32.03 tff(10610,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10609, 10607])).
% 49.06/32.03 tff(10611,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10612,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10611, 10610])).
% 49.06/32.03 tff(10613,plain,
% 49.06/32.03 (v113(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10612, 266, 10606])).
% 49.06/32.03 tff(10614,assumption,(v26(constB89)), introduced(assumption)).
% 49.06/32.03 tff(10615,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10616,plain,
% 49.06/32.03 ($false),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10615, 43, 10614])).
% 49.06/32.03 tff(10617,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.03 tff(10618,plain,
% 49.06/32.03 (((~![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)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10619,plain,
% 49.06/32.03 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10620,plain,
% 49.06/32.03 (((~![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))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10619])).
% 49.06/32.03 tff(10621,plain,
% 49.06/32.03 (((~![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)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10620, 10618])).
% 49.06/32.03 tff(10622,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10623,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 49.06/32.03 tff(10624,plain,
% 49.06/32.03 (v112(constB89) | (~v113(constB89))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10623, 280, 10617])).
% 49.06/32.03 tff(10625,plain,
% 49.06/32.03 (v112(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10624, 10613])).
% 49.06/32.03 tff(10626,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10627,plain,
% 49.06/32.03 (((~v112(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v112(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10628,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10627])).
% 49.06/32.03 tff(10629,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10628, 10626])).
% 49.06/32.03 tff(10630,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10631,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10630, 10629])).
% 49.06/32.03 tff(10632,plain,
% 49.06/32.03 (v108(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10631, 292, 10625])).
% 49.06/32.03 tff(10633,plain,
% 49.06/32.03 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10634,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 49.06/32.03 tff(10635,plain,
% 49.06/32.03 (nextState(constB89, constB90)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10634, 10633])).
% 49.06/32.03 tff(10636,plain,
% 49.06/32.03 (((~![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)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10637,plain,
% 49.06/32.03 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10638,plain,
% 49.06/32.03 (((~![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))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10637])).
% 49.06/32.03 tff(10639,plain,
% 49.06/32.03 (((~![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)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10638, 10636])).
% 49.06/32.03 tff(10640,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10641,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 49.06/32.03 tff(10642,plain,
% 49.06/32.03 (v110(constB90) | (~v108(constB89))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10641, 312, 10635])).
% 49.06/32.03 tff(10643,plain,
% 49.06/32.03 (v110(constB90)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10642, 10632])).
% 49.06/32.03 tff(10644,plain,
% 49.06/32.03 (((~![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)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10645,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10646,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 49.06/32.03 tff(10647,plain,
% 49.06/32.03 (~v104(constB90)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10646, 330, 10635, 10488])).
% 49.06/32.03 tff(10648,plain,
% 49.06/32.03 (((~![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)) | v102(constB90) | v104(constB90))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10649,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10650,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 49.06/32.03 tff(10651,plain,
% 49.06/32.03 (v102(constB90) | v104(constB90)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10650, 344, 10635])).
% 49.06/32.03 tff(10652,plain,
% 49.06/32.03 (v102(constB90)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10651, 10647])).
% 49.06/32.03 tff(10653,plain,
% 49.06/32.03 (v1(constB90) <=> v1(constB90)),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10654,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 49.06/32.03 tff(10655,plain,
% 49.06/32.03 (v1(constB90)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10654, 10653])).
% 49.06/32.03 tff(10656,plain,
% 49.06/32.03 (((~![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)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10657,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10658,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 49.06/32.03 tff(10659,plain,
% 49.06/32.03 (v101(constB90) | (~v102(constB90))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10658, 362, 10635, 10655])).
% 49.06/32.03 tff(10660,plain,
% 49.06/32.03 (v101(constB90)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10659, 10652])).
% 49.06/32.03 tff(10661,plain,
% 49.06/32.03 (((~![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)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10662,plain,
% 49.06/32.03 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10663,plain,
% 49.06/32.03 (((~![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))))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10662])).
% 49.06/32.03 tff(10664,plain,
% 49.06/32.03 (((~![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)))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10663, 10661])).
% 49.06/32.03 tff(10665,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10666,plain,
% 49.06/32.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10665, 10664])).
% 49.06/32.03 tff(10667,plain,
% 49.06/32.03 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10666, 377, 10635])).
% 49.06/32.03 tff(10668,plain,
% 49.06/32.03 (v100(constB90) | (~v110(constB90))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10667, 10660])).
% 49.06/32.03 tff(10669,plain,
% 49.06/32.03 (v100(constB90)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10668, 10643])).
% 49.06/32.03 tff(10670,assumption,(~v130(constB89, 0)), introduced(assumption)).
% 49.06/32.03 tff(10671,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB89)) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB89)) | v130(constB89, 0))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10672,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB89)) | v130(constB89, 0))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10673,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB89)) | v130(constB89, 0)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10672, 10671])).
% 49.06/32.03 tff(10674,plain,
% 49.06/32.03 (~v119(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10673, 501, 10670])).
% 49.06/32.03 tff(10675,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10676,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10677,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10676, 10675])).
% 49.06/32.03 tff(10678,plain,
% 49.06/32.03 (~v121(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10677, 1184, 10670])).
% 49.06/32.03 tff(10679,assumption,(~v90(constB89, 0)), introduced(assumption)).
% 49.06/32.03 tff(10680,assumption,(~v119(constB89)), introduced(assumption)).
% 49.06/32.03 tff(10681,assumption,(~v90(constB89, 2)), introduced(assumption)).
% 49.06/32.03 tff(10682,assumption,(~v121(constB89)), introduced(assumption)).
% 49.06/32.03 tff(10683,plain,
% 49.06/32.03 ((~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10580, 990, 10679])).
% 49.06/32.03 tff(10684,plain,
% 49.06/32.03 (~v90(constB89, 1)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10683, 10681, 10682])).
% 49.06/32.03 tff(10685,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10686,plain,
% 49.06/32.03 ((v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2)) <=> (v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10687,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89)))),
% 49.06/32.03 inference(monotonicity,[status(thm)],[10686])).
% 49.06/32.03 tff(10688,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))),
% 49.06/32.03 inference(transitivity,[status(thm)],[10687, 10685])).
% 49.06/32.03 tff(10689,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10690,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10689, 10688])).
% 49.06/32.03 tff(10691,plain,
% 49.06/32.03 (v90(constB89, 1) | v90(constB89, 2) | v119(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10690, 185, 10679])).
% 49.06/32.03 tff(10692,plain,
% 49.06/32.03 ($false),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10691, 10684, 10681, 10680])).
% 49.06/32.03 tff(10693,plain,(v90(constB89, 2) | v119(constB89) | v90(constB89, 0) | v121(constB89)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.03 tff(10694,plain,
% 49.06/32.03 (v90(constB89, 2)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10693, 10679, 10678, 10674])).
% 49.06/32.03 tff(10695,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB89)) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB89)) | v130(constB89, 0))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10696,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB89)) | v130(constB89, 0))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10697,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB89)) | v130(constB89, 0)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10696, 10695])).
% 49.06/32.03 tff(10698,plain,
% 49.06/32.03 (~v123(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10697, 1677, 10670])).
% 49.06/32.03 tff(10699,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10700,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10701,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89)),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 49.06/32.03 tff(10702,plain,
% 49.06/32.03 (v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2))),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10701, 1495, 10698])).
% 49.06/32.03 tff(10703,plain,
% 49.06/32.03 (v90(constB89, 1)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10702, 10679, 10694])).
% 49.06/32.03 tff(10704,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB89)) | (~v90(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB89)) | (~v90(constB89, 1)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10705,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB89)) | (~v90(constB89, 1)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10706,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB89)) | (~v90(constB89, 1))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10705, 10704])).
% 49.06/32.03 tff(10707,plain,
% 49.06/32.03 (~v124(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10706, 2083, 10703])).
% 49.06/32.03 tff(10708,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB89)) | (~v90(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB89)) | (~v90(constB89, 1)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10709,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB89)) | (~v90(constB89, 1)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10710,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB89)) | (~v90(constB89, 1))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10709, 10708])).
% 49.06/32.03 tff(10711,plain,
% 49.06/32.03 (~v120(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10710, 2061, 10703])).
% 49.06/32.03 tff(10712,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB89)) | (~v90(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB89)) | (~v90(constB89, 2)))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10713,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB89)) | (~v90(constB89, 2)))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10714,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB89)) | (~v90(constB89, 2))),
% 49.06/32.03 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 49.06/32.03 tff(10715,plain,
% 49.06/32.03 (~v122(constB89)),
% 49.06/32.03 inference(unit_resolution,[status(thm)],[10714, 2039, 10694])).
% 49.06/32.03 tff(10716,plain,
% 49.06/32.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0))),
% 49.06/32.03 inference(rewrite,[status(thm)],[])).
% 49.06/32.03 tff(10717,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0))),
% 49.06/32.03 inference(quant_inst,[status(thm)],[])).
% 49.06/32.03 tff(10718,plain,
% 49.06/32.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 49.06/32.04 tff(10719,plain,
% 49.06/32.04 (v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10718, 2200, 10670])).
% 49.06/32.04 tff(10720,plain,
% 49.06/32.04 ($false),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10719, 10715, 10711, 10678, 10674, 10698, 10707])).
% 49.06/32.04 tff(10721,plain,(v90(constB89, 0) | v130(constB89, 0)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.04 tff(10722,plain,
% 49.06/32.04 (v130(constB89, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10721, 10577])).
% 49.06/32.04 tff(10723,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10724,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10725,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 49.06/32.04 tff(10726,plain,
% 49.06/32.04 ((~v130(constB89, 0)) | v127(constB89, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10725, 515, 10617])).
% 49.06/32.04 tff(10727,plain,
% 49.06/32.04 (v127(constB89, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10726, 10722])).
% 49.06/32.04 tff(10728,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10729,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10730,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 49.06/32.04 tff(10731,plain,
% 49.06/32.04 ((~v127(constB89, 0)) | v129(constB90, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10730, 530, 10635])).
% 49.06/32.04 tff(10732,plain,
% 49.06/32.04 (v129(constB90, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10731, 10727])).
% 49.06/32.04 tff(10733,plain,
% 49.06/32.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10734,plain,
% 49.06/32.04 ((v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0))) <=> (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10735,plain,
% 49.06/32.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10734])).
% 49.06/32.04 tff(10736,plain,
% 49.06/32.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10735, 10733])).
% 49.06/32.04 tff(10737,plain,
% 49.06/32.04 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10738,plain,
% 49.06/32.04 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 49.06/32.04 tff(10739,plain,
% 49.06/32.04 (v90(constB90, 0) | (~v100(constB90))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10738, 545, 10732])).
% 49.06/32.04 tff(10740,plain,
% 49.06/32.04 (v90(constB90, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10739, 10669])).
% 49.06/32.04 tff(10741,plain,
% 49.06/32.04 ((~v1(constB91)) <=> (~v1(constB91))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10742,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 49.06/32.04 tff(10743,plain,
% 49.06/32.04 (~v1(constB91)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10742, 10741])).
% 49.06/32.04 tff(10744,plain,
% 49.06/32.04 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10745,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 49.06/32.04 tff(10746,plain,
% 49.06/32.04 (nextState(constB90, constB91)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10745, 10744])).
% 49.06/32.04 tff(10747,plain,
% 49.06/32.04 (((~![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)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10748,plain,
% 49.06/32.04 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10749,plain,
% 49.06/32.04 (((~![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))))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10748])).
% 49.06/32.04 tff(10750,plain,
% 49.06/32.04 (((~![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)))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10749, 10747])).
% 49.06/32.04 tff(10751,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10752,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 49.06/32.04 tff(10753,plain,
% 49.06/32.04 (~v101(constB91)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10752, 90, 10746, 10743])).
% 49.06/32.04 tff(10754,plain,
% 49.06/32.04 (((~![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)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10755,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10756,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 49.06/32.04 tff(10757,plain,
% 49.06/32.04 (v101(constB91) | (~v100(constB91))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10756, 107, 10746])).
% 49.06/32.04 tff(10758,plain,
% 49.06/32.04 (~v100(constB91)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10757, 10753])).
% 49.06/32.04 tff(10759,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10760,plain,
% 49.06/32.04 (((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)) <=> ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10761,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10760])).
% 49.06/32.04 tff(10762,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10761, 10759])).
% 49.06/32.04 tff(10763,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10764,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 49.06/32.04 tff(10765,plain,
% 49.06/32.04 ((~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10764, 563, 10746])).
% 49.06/32.04 tff(10766,plain,
% 49.06/32.04 ((~v90(constB90, 0)) | v90(constB91, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10765, 10758])).
% 49.06/32.04 tff(10767,plain,
% 49.06/32.04 (v90(constB91, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10766, 10740])).
% 49.06/32.04 tff(10768,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10769,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10770,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10769, 10768])).
% 49.06/32.04 tff(10771,plain,
% 49.06/32.04 (v130(constB89, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10770, 1146, 10581])).
% 49.06/32.04 tff(10772,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10773,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10774,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 49.06/32.04 tff(10775,plain,
% 49.06/32.04 ((~v130(constB89, 1)) | v127(constB89, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10774, 852, 10617])).
% 49.06/32.04 tff(10776,plain,
% 49.06/32.04 (v127(constB89, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10775, 10771])).
% 49.06/32.04 tff(10777,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10778,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10779,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10778, 10777])).
% 49.06/32.04 tff(10780,plain,
% 49.06/32.04 ((~v127(constB89, 1)) | v129(constB90, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10779, 867, 10635])).
% 49.06/32.04 tff(10781,plain,
% 49.06/32.04 (v129(constB90, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10780, 10776])).
% 49.06/32.04 tff(10782,plain,
% 49.06/32.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10783,plain,
% 49.06/32.04 ((v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1))) <=> (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10784,plain,
% 49.06/32.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10783])).
% 49.06/32.04 tff(10785,plain,
% 49.06/32.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10784, 10782])).
% 49.06/32.04 tff(10786,plain,
% 49.06/32.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10787,plain,
% 49.06/32.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 49.06/32.04 tff(10788,plain,
% 49.06/32.04 (v90(constB90, 1) | (~v100(constB90))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10787, 882, 10781])).
% 49.06/32.04 tff(10789,plain,
% 49.06/32.04 (v90(constB90, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10788, 10669])).
% 49.06/32.04 tff(10790,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10791,plain,
% 49.06/32.04 (((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)) <=> ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10792,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10791])).
% 49.06/32.04 tff(10793,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10792, 10790])).
% 49.06/32.04 tff(10794,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10795,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10794, 10793])).
% 49.06/32.04 tff(10796,plain,
% 49.06/32.04 ((~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10795, 900, 10746])).
% 49.06/32.04 tff(10797,plain,
% 49.06/32.04 ((~v90(constB90, 1)) | v90(constB91, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10796, 10758])).
% 49.06/32.04 tff(10798,plain,
% 49.06/32.04 (v90(constB91, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10797, 10789])).
% 49.06/32.04 tff(10799,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10800,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10801,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10800, 10799])).
% 49.06/32.04 tff(10802,plain,
% 49.06/32.04 (~v130(constB89, 2)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10801, 1090, 10581])).
% 49.06/32.04 tff(10803,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10804,plain,
% 49.06/32.04 ((v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2))) <=> ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10805,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10804])).
% 49.06/32.04 tff(10806,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10805, 10803])).
% 49.06/32.04 tff(10807,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10808,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 49.06/32.04 tff(10809,plain,
% 49.06/32.04 ((~v127(constB89, 2)) | v130(constB89, 2)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10808, 593, 10617])).
% 49.06/32.04 tff(10810,plain,
% 49.06/32.04 (~v127(constB89, 2)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10809, 10802])).
% 49.06/32.04 tff(10811,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10812,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10813,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10812, 10811])).
% 49.06/32.04 tff(10814,plain,
% 49.06/32.04 (v127(constB89, 2) | (~v129(constB90, 2))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10813, 611, 10635])).
% 49.06/32.04 tff(10815,plain,
% 49.06/32.04 (~v129(constB90, 2)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10814, 10810])).
% 49.06/32.04 tff(10816,plain,
% 49.06/32.04 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10817,plain,
% 49.06/32.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10818,plain,
% 49.06/32.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10817, 10816])).
% 49.06/32.04 tff(10819,plain,
% 49.06/32.04 ((~v90(constB90, 2)) | (~v100(constB90))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10818, 626, 10815])).
% 49.06/32.04 tff(10820,plain,
% 49.06/32.04 (~v90(constB90, 2)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10819, 10669])).
% 49.06/32.04 tff(10821,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10822,plain,
% 49.06/32.04 (((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))) <=> (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10823,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10822])).
% 49.06/32.04 tff(10824,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10823, 10821])).
% 49.06/32.04 tff(10825,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10826,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10825, 10824])).
% 49.06/32.04 tff(10827,plain,
% 49.06/32.04 (v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10826, 122, 10746])).
% 49.06/32.04 tff(10828,plain,
% 49.06/32.04 (v90(constB90, 2) | (~v90(constB91, 2))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10827, 10758])).
% 49.06/32.04 tff(10829,plain,
% 49.06/32.04 (~v90(constB91, 2)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10828, 10820])).
% 49.06/32.04 tff(10830,assumption,(~v122(constB91)), introduced(assumption)).
% 49.06/32.04 tff(10831,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10832,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10833,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10832, 10831])).
% 49.06/32.04 tff(10834,plain,
% 49.06/32.04 ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10833, 1225, 10830])).
% 49.06/32.04 tff(10835,plain,
% 49.06/32.04 ($false),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10834, 10829, 10798, 10767])).
% 49.06/32.04 tff(10836,plain,((~v120(constB87)) | v122(constB91) | (~v100(constB88))), inference(lemma,lemma(discharge,[]))).
% 49.06/32.04 tff(10837,plain,
% 49.06/32.04 (v122(constB91)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10836, 10457, 10355])).
% 49.06/32.04 tff(10838,assumption,(~v120(constB99)), introduced(assumption)).
% 49.06/32.04 tff(10839,assumption,(v122(constB91)), introduced(assumption)).
% 49.06/32.04 tff(10840,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10841,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10842,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10841, 10840])).
% 49.06/32.04 tff(10843,plain,
% 49.06/32.04 (~v130(constB91, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10842, 1451, 10839])).
% 49.06/32.04 tff(10844,assumption,(v127(constB91, 0)), introduced(assumption)).
% 49.06/32.04 tff(10845,assumption,(~v130(constB91, 0)), introduced(assumption)).
% 49.06/32.04 tff(10846,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10847,plain,
% 49.06/32.04 ((v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0))) <=> ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10848,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10847])).
% 49.06/32.04 tff(10849,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10848, 10846])).
% 49.06/32.04 tff(10850,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10851,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10850, 10849])).
% 49.06/32.04 tff(10852,plain,
% 49.06/32.04 ((~v127(constB91, 0)) | v26(constB91)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10851, 930, 10845])).
% 49.06/32.04 tff(10853,plain,
% 49.06/32.04 (v26(constB91)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10852, 10844])).
% 49.06/32.04 tff(10854,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB91)) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB91)) | (~v127(constB91, 0)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10855,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB91)) | (~v127(constB91, 0)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10856,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB91)) | (~v127(constB91, 0))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 49.06/32.04 tff(10857,plain,
% 49.06/32.04 ($false),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10856, 3320, 10844, 10853])).
% 49.06/32.04 tff(10858,plain,((~v127(constB91, 0)) | v130(constB91, 0)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.04 tff(10859,plain,
% 49.06/32.04 (~v127(constB91, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10858, 10843])).
% 49.06/32.04 tff(10860,plain,
% 49.06/32.04 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10861,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 49.06/32.04 tff(10862,plain,
% 49.06/32.04 (nextState(constB91, constB92)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10861, 10860])).
% 49.06/32.04 tff(10863,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10864,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10865,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 49.06/32.04 tff(10866,plain,
% 49.06/32.04 (v127(constB91, 0) | (~v129(constB92, 0))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10865, 948, 10862])).
% 49.06/32.04 tff(10867,plain,
% 49.06/32.04 (~v129(constB92, 0)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10866, 10859])).
% 49.06/32.04 tff(10868,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10869,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10870,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10869, 10868])).
% 49.06/32.04 tff(10871,plain,
% 49.06/32.04 (~v130(constB91, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10870, 1410, 10839])).
% 49.06/32.04 tff(10872,assumption,(v26(constB91)), introduced(assumption)).
% 49.06/32.04 tff(10873,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10874,plain,
% 49.06/32.04 ($false),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10873, 43, 10872])).
% 49.06/32.04 tff(10875,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.04 tff(10876,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10877,plain,
% 49.06/32.04 ((v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1))) <=> ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10878,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)))),
% 49.06/32.04 inference(monotonicity,[status(thm)],[10877])).
% 49.06/32.04 tff(10879,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 49.06/32.04 inference(transitivity,[status(thm)],[10878, 10876])).
% 49.06/32.04 tff(10880,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10881,plain,
% 49.06/32.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10880, 10879])).
% 49.06/32.04 tff(10882,plain,
% 49.06/32.04 ((~v127(constB91, 1)) | v130(constB91, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10881, 408, 10875])).
% 49.06/32.04 tff(10883,plain,
% 49.06/32.04 (~v127(constB91, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10882, 10871])).
% 49.06/32.04 tff(10884,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10885,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10886,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1))),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10885, 10884])).
% 49.06/32.04 tff(10887,plain,
% 49.06/32.04 (v127(constB91, 1) | (~v129(constB92, 1))),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10886, 438, 10862])).
% 49.06/32.04 tff(10888,plain,
% 49.06/32.04 (~v129(constB92, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10887, 10883])).
% 49.06/32.04 tff(10889,assumption,(~v129(constB92, 1)), introduced(assumption)).
% 49.06/32.04 tff(10890,plain,
% 49.06/32.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 1)) | v129(constB92, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB91, constB92)) | (~v127(constB91, 1)) | v129(constB92, 1))),
% 49.06/32.04 inference(rewrite,[status(thm)],[])).
% 49.06/32.04 tff(10891,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 1)) | v129(constB92, 1))),
% 49.06/32.04 inference(quant_inst,[status(thm)],[])).
% 49.06/32.04 tff(10892,plain,
% 49.06/32.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB91, constB92)) | (~v127(constB91, 1)) | v129(constB92, 1)),
% 49.06/32.04 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 49.06/32.04 tff(10893,plain,
% 49.06/32.04 ((~v127(constB91, 1)) | v129(constB92, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10892, 867, 10862])).
% 49.06/32.04 tff(10894,plain,
% 49.06/32.04 (~v127(constB91, 1)),
% 49.06/32.04 inference(unit_resolution,[status(thm)],[10893, 10889])).
% 49.06/32.04 tff(10895,plain,
% 49.06/32.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB91) | (~v130(constB91, 1)) | v127(constB91, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB91) | (~v130(constB91, 1)) | v127(constB91, 1))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10896,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB91) | (~v130(constB91, 1)) | v127(constB91, 1))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10897,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB91) | (~v130(constB91, 1)) | v127(constB91, 1)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 49.06/32.05 tff(10898,plain,
% 49.06/32.05 ((~v130(constB91, 1)) | v127(constB91, 1)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10897, 852, 10875])).
% 49.06/32.05 tff(10899,plain,
% 49.06/32.05 (~v130(constB91, 1)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10898, 10894])).
% 49.06/32.05 tff(10900,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB91)) | v130(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB91)) | v130(constB91, 1))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10901,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB91)) | v130(constB91, 1))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10902,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB91)) | v130(constB91, 1)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 49.06/32.05 tff(10903,plain,
% 49.06/32.05 (~v124(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10902, 1871, 10899])).
% 49.06/32.05 tff(10904,assumption,(~v129(constB92, 0)), introduced(assumption)).
% 49.06/32.05 tff(10905,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 0)) | v129(constB92, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB91, constB92)) | (~v127(constB91, 0)) | v129(constB92, 0))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10906,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 0)) | v129(constB92, 0))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10907,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB91, constB92)) | (~v127(constB91, 0)) | v129(constB92, 0)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10906, 10905])).
% 49.06/32.05 tff(10908,plain,
% 49.06/32.05 ((~v127(constB91, 0)) | v129(constB92, 0)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10907, 530, 10862])).
% 49.06/32.05 tff(10909,plain,
% 49.06/32.05 (~v127(constB91, 0)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10908, 10904])).
% 49.06/32.05 tff(10910,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB91) | (~v130(constB91, 0)) | v127(constB91, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB91) | (~v130(constB91, 0)) | v127(constB91, 0))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10911,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB91) | (~v130(constB91, 0)) | v127(constB91, 0))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10912,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB91) | (~v130(constB91, 0)) | v127(constB91, 0)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10911, 10910])).
% 49.06/32.05 tff(10913,plain,
% 49.06/32.05 ((~v130(constB91, 0)) | v127(constB91, 0)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10912, 515, 10875])).
% 49.06/32.05 tff(10914,plain,
% 49.06/32.05 (~v130(constB91, 0)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10913, 10909])).
% 49.06/32.05 tff(10915,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB91)) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB91)) | v130(constB91, 0))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10916,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB91)) | v130(constB91, 0))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10917,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB91)) | v130(constB91, 0)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10916, 10915])).
% 49.06/32.05 tff(10918,plain,
% 49.06/32.05 (~v121(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10917, 1184, 10914])).
% 49.06/32.05 tff(10919,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB91)) | v130(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB91)) | v130(constB91, 1))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10920,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB91)) | v130(constB91, 1))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10921,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB91)) | v130(constB91, 1)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 49.06/32.05 tff(10922,plain,
% 49.06/32.05 (~v120(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10921, 838, 10899])).
% 49.06/32.05 tff(10923,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB91)) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB91)) | v130(constB91, 0))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10924,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB91)) | v130(constB91, 0))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10925,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB91)) | v130(constB91, 0)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 49.06/32.05 tff(10926,plain,
% 49.06/32.05 (~v123(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10925, 1677, 10914])).
% 49.06/32.05 tff(10927,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB91)) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB91)) | v130(constB91, 0))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10928,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB91)) | v130(constB91, 0))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10929,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB91)) | v130(constB91, 0)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 49.06/32.05 tff(10930,plain,
% 49.06/32.05 (~v119(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10929, 501, 10914])).
% 49.06/32.05 tff(10931,assumption,(~v120(constB91)), introduced(assumption)).
% 49.06/32.05 tff(10932,assumption,(~v121(constB91)), introduced(assumption)).
% 49.06/32.05 tff(10933,assumption,(~v124(constB91)), introduced(assumption)).
% 49.06/32.05 tff(10934,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, 0))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10935,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, 0))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10936,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | v130(constB91, 0)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 49.06/32.05 tff(10937,plain,
% 49.06/32.05 (v119(constB91) | v122(constB91) | v123(constB91) | v130(constB91, 0)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10936, 2200, 10933, 10932, 10931])).
% 49.06/32.05 tff(10938,plain,
% 49.06/32.05 (v122(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10937, 10930, 10914, 10926])).
% 49.06/32.05 tff(10939,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10940,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10941,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10940, 10939])).
% 49.06/32.05 tff(10942,plain,
% 49.06/32.05 (v116(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10941, 1236, 10938])).
% 49.06/32.05 tff(10943,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB91)) | v115(constB91))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10944,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10945,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB91)) | v115(constB91)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10944, 10943])).
% 49.06/32.05 tff(10946,plain,
% 49.06/32.05 (v115(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10945, 238, 10942])).
% 49.06/32.05 tff(10947,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10948,plain,
% 49.06/32.05 (((~v115(constB91)) | v114(constB91)) <=> (v114(constB91) | (~v115(constB91)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10949,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[10948])).
% 49.06/32.05 tff(10950,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[10949, 10947])).
% 49.06/32.05 tff(10951,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10952,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 49.06/32.05 tff(10953,plain,
% 49.06/32.05 (v114(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10952, 252, 10946])).
% 49.06/32.05 tff(10954,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB91)) | v113(constB91))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10955,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10956,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB91)) | v113(constB91)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10955, 10954])).
% 49.06/32.05 tff(10957,plain,
% 49.06/32.05 (v113(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10956, 266, 10953])).
% 49.06/32.05 tff(10958,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10959,plain,
% 49.06/32.05 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10960,plain,
% 49.06/32.05 (((~![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) | v112(constB91) | (~v113(constB91))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[10959])).
% 49.06/32.05 tff(10961,plain,
% 49.06/32.05 (((~![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) | v112(constB91) | (~v113(constB91)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[10960, 10958])).
% 49.06/32.05 tff(10962,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10963,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10962, 10961])).
% 49.06/32.05 tff(10964,plain,
% 49.06/32.05 (v112(constB91) | (~v113(constB91))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10963, 280, 10875])).
% 49.06/32.05 tff(10965,plain,
% 49.06/32.05 (v112(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10964, 10957])).
% 49.06/32.05 tff(10966,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10967,plain,
% 49.06/32.05 (((~v112(constB91)) | v108(constB91)) <=> (v108(constB91) | (~v112(constB91)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10968,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[10967])).
% 49.06/32.05 tff(10969,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[10968, 10966])).
% 49.06/32.05 tff(10970,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10971,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10970, 10969])).
% 49.06/32.05 tff(10972,plain,
% 49.06/32.05 (v108(constB91)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10971, 292, 10965])).
% 49.06/32.05 tff(10973,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10974,plain,
% 49.06/32.05 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10975,plain,
% 49.06/32.05 (((~![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))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[10974])).
% 49.06/32.05 tff(10976,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[10975, 10973])).
% 49.06/32.05 tff(10977,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10978,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10977, 10976])).
% 49.06/32.05 tff(10979,plain,
% 49.06/32.05 (v110(constB92) | (~v108(constB91))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10978, 312, 10862])).
% 49.06/32.05 tff(10980,plain,
% 49.06/32.05 (v110(constB92)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10979, 10972])).
% 49.06/32.05 tff(10981,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10982,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10983,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10982, 10981])).
% 49.06/32.05 tff(10984,plain,
% 49.06/32.05 (~v104(constB92)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10983, 330, 10862, 10743])).
% 49.06/32.05 tff(10985,plain,
% 49.06/32.05 (((~![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)) | v102(constB92) | v104(constB92))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10986,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10987,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10986, 10985])).
% 49.06/32.05 tff(10988,plain,
% 49.06/32.05 (v102(constB92) | v104(constB92)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10987, 344, 10862])).
% 49.06/32.05 tff(10989,plain,
% 49.06/32.05 (v102(constB92)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10988, 10984])).
% 49.06/32.05 tff(10990,plain,
% 49.06/32.05 (v1(constB92) <=> v1(constB92)),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10991,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 49.06/32.05 tff(10992,plain,
% 49.06/32.05 (v1(constB92)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 49.06/32.05 tff(10993,plain,
% 49.06/32.05 (((~![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)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10994,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(10995,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[10994, 10993])).
% 49.06/32.05 tff(10996,plain,
% 49.06/32.05 (v101(constB92) | (~v102(constB92))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10995, 362, 10862, 10992])).
% 49.06/32.05 tff(10997,plain,
% 49.06/32.05 (v101(constB92)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[10996, 10989])).
% 49.06/32.05 tff(10998,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(10999,plain,
% 49.06/32.05 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11000,plain,
% 49.06/32.05 (((~![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))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[10999])).
% 49.06/32.05 tff(11001,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[11000, 10998])).
% 49.06/32.05 tff(11002,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11003,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 49.06/32.05 tff(11004,plain,
% 49.06/32.05 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11003, 377, 10862])).
% 49.06/32.05 tff(11005,plain,
% 49.06/32.05 (v100(constB92) | (~v110(constB92))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11004, 10997])).
% 49.06/32.05 tff(11006,plain,
% 49.06/32.05 (v100(constB92)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11005, 10980])).
% 49.06/32.05 tff(11007,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11008,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11009,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 49.06/32.05 tff(11010,plain,
% 49.06/32.05 (v130(constB91, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11009, 1314, 10938])).
% 49.06/32.05 tff(11011,plain,
% 49.06/32.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11012,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11013,plain,
% 49.06/32.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11012, 11011])).
% 49.06/32.05 tff(11014,plain,
% 49.06/32.05 ((~v130(constB91, 2)) | v127(constB91, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11013, 1328, 10875])).
% 49.06/32.05 tff(11015,plain,
% 49.06/32.05 (v127(constB91, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11014, 11010])).
% 49.06/32.05 tff(11016,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11017,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11018,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 49.06/32.05 tff(11019,plain,
% 49.06/32.05 ((~v127(constB91, 2)) | v129(constB92, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11018, 1343, 10862])).
% 49.06/32.05 tff(11020,plain,
% 49.06/32.05 (v129(constB92, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11019, 11015])).
% 49.06/32.05 tff(11021,plain,
% 49.06/32.05 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11022,plain,
% 49.06/32.05 ((v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2))) <=> (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11023,plain,
% 49.06/32.05 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[11022])).
% 49.06/32.05 tff(11024,plain,
% 49.06/32.05 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[11023, 11021])).
% 49.06/32.05 tff(11025,plain,
% 49.06/32.05 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11026,plain,
% 49.06/32.05 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11025, 11024])).
% 49.06/32.05 tff(11027,plain,
% 49.06/32.05 (v90(constB92, 2) | (~v100(constB92))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11026, 1358, 11020])).
% 49.06/32.05 tff(11028,plain,
% 49.06/32.05 (v90(constB92, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11027, 11006])).
% 49.06/32.05 tff(11029,plain,
% 49.06/32.05 ((~v1(constB93)) <=> (~v1(constB93))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11030,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 49.06/32.05 tff(11031,plain,
% 49.06/32.05 (~v1(constB93)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11030, 11029])).
% 49.06/32.05 tff(11032,plain,
% 49.06/32.05 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11033,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 49.06/32.05 tff(11034,plain,
% 49.06/32.05 (nextState(constB92, constB93)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 49.06/32.05 tff(11035,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11036,plain,
% 49.06/32.05 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11037,plain,
% 49.06/32.05 (((~![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))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[11036])).
% 49.06/32.05 tff(11038,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[11037, 11035])).
% 49.06/32.05 tff(11039,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11040,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11039, 11038])).
% 49.06/32.05 tff(11041,plain,
% 49.06/32.05 (~v101(constB93)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11040, 90, 11034, 11031])).
% 49.06/32.05 tff(11042,plain,
% 49.06/32.05 (((~![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)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11043,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11044,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 49.06/32.05 tff(11045,plain,
% 49.06/32.05 (v101(constB93) | (~v100(constB93))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11044, 107, 11034])).
% 49.06/32.05 tff(11046,plain,
% 49.06/32.05 (~v100(constB93)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11045, 11041])).
% 49.06/32.05 tff(11047,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11048,plain,
% 49.06/32.05 (((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)) <=> ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11049,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[11048])).
% 49.06/32.05 tff(11050,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 49.06/32.05 inference(transitivity,[status(thm)],[11049, 11047])).
% 49.06/32.05 tff(11051,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11052,plain,
% 49.06/32.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 49.06/32.05 tff(11053,plain,
% 49.06/32.05 ((~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11052, 1394, 11034])).
% 49.06/32.05 tff(11054,plain,
% 49.06/32.05 ((~v90(constB92, 2)) | v90(constB93, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11053, 11046])).
% 49.06/32.05 tff(11055,plain,
% 49.06/32.05 (v90(constB93, 2)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11054, 11028])).
% 49.06/32.05 tff(11056,plain,
% 49.06/32.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11057,plain,
% 49.06/32.05 (((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1)) <=> ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11058,plain,
% 49.06/32.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[11057])).
% 49.06/32.05 tff(11059,plain,
% 49.06/32.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 49.06/32.05 inference(transitivity,[status(thm)],[11058, 11056])).
% 49.06/32.05 tff(11060,plain,
% 49.06/32.05 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))),
% 49.06/32.05 inference(quant_inst,[status(thm)],[])).
% 49.06/32.05 tff(11061,plain,
% 49.06/32.05 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))),
% 49.06/32.05 inference(modus_ponens,[status(thm)],[11060, 11059])).
% 49.06/32.05 tff(11062,plain,
% 49.06/32.05 ((~v90(constB92, 1)) | (~v100(constB92))),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11061, 453, 10889])).
% 49.06/32.05 tff(11063,plain,
% 49.06/32.05 (~v90(constB92, 1)),
% 49.06/32.05 inference(unit_resolution,[status(thm)],[11062, 11006])).
% 49.06/32.05 tff(11064,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11065,plain,
% 49.06/32.05 (((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))) <=> (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 49.06/32.05 inference(rewrite,[status(thm)],[])).
% 49.06/32.05 tff(11066,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))))),
% 49.06/32.05 inference(monotonicity,[status(thm)],[11065])).
% 49.06/32.05 tff(11067,plain,
% 49.06/32.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11066, 11064])).
% 49.06/32.06 tff(11068,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11069,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 49.06/32.06 tff(11070,plain,
% 49.06/32.06 (v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11069, 143, 11034])).
% 49.06/32.06 tff(11071,plain,
% 49.06/32.06 (v90(constB92, 1) | (~v90(constB93, 1))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11070, 11046])).
% 49.06/32.06 tff(11072,plain,
% 49.06/32.06 (~v90(constB93, 1)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11071, 11063])).
% 49.06/32.06 tff(11073,plain,
% 49.06/32.06 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11074,plain,
% 49.06/32.06 (((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0)) <=> ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11075,plain,
% 49.06/32.06 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11074])).
% 49.06/32.06 tff(11076,plain,
% 49.06/32.06 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11075, 11073])).
% 49.06/32.06 tff(11077,plain,
% 49.06/32.06 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11078,plain,
% 49.06/32.06 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 49.06/32.06 tff(11079,plain,
% 49.06/32.06 ((~v90(constB92, 0)) | (~v100(constB92))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11078, 963, 10904])).
% 49.06/32.06 tff(11080,plain,
% 49.06/32.06 (~v90(constB92, 0)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11079, 11006])).
% 49.06/32.06 tff(11081,plain,
% 49.06/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11082,plain,
% 49.06/32.06 (((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))) <=> (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11083,plain,
% 49.06/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11082])).
% 49.06/32.06 tff(11084,plain,
% 49.06/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11083, 11081])).
% 49.06/32.06 tff(11085,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11086,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11085, 11084])).
% 49.06/32.06 tff(11087,plain,
% 49.06/32.06 (v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11086, 164, 11034])).
% 49.06/32.06 tff(11088,plain,
% 49.06/32.06 (v90(constB92, 0) | (~v90(constB93, 0))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11087, 11046])).
% 49.06/32.06 tff(11089,plain,
% 49.06/32.06 (~v90(constB93, 0)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11088, 11080])).
% 49.06/32.06 tff(11090,assumption,(~v123(constB93)), introduced(assumption)).
% 49.06/32.06 tff(11091,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11092,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11093,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11092, 11091])).
% 49.06/32.06 tff(11094,plain,
% 49.06/32.06 (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11093, 1495, 11090])).
% 49.06/32.06 tff(11095,plain,
% 49.06/32.06 ($false),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11094, 11089, 11072, 11055])).
% 49.06/32.06 tff(11096,plain,(v129(constB92, 0) | v123(constB93) | v129(constB92, 1) | v124(constB91) | v121(constB91) | v120(constB91)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.06 tff(11097,plain,
% 49.06/32.06 (v123(constB93)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11096, 10922, 10904, 10889, 10918, 10903])).
% 49.06/32.06 tff(11098,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11099,plain,
% 49.06/32.06 (((~v123(constB93)) | v115(constB93)) <=> (v115(constB93) | (~v123(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11100,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11099])).
% 49.06/32.06 tff(11101,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11100, 11098])).
% 49.06/32.06 tff(11102,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11103,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11102, 11101])).
% 49.06/32.06 tff(11104,plain,
% 49.06/32.06 (v115(constB93)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11103, 1506, 11097])).
% 49.06/32.06 tff(11105,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11106,plain,
% 49.06/32.06 (((~v115(constB93)) | v114(constB93)) <=> (v114(constB93) | (~v115(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11107,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11106])).
% 49.06/32.06 tff(11108,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11107, 11105])).
% 49.06/32.06 tff(11109,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11110,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11109, 11108])).
% 49.06/32.06 tff(11111,plain,
% 49.06/32.06 (v114(constB93)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11110, 252, 11104])).
% 49.06/32.06 tff(11112,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB93)) | v113(constB93))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11113,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11114,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB93)) | v113(constB93)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 49.06/32.06 tff(11115,plain,
% 49.06/32.06 (v113(constB93)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11114, 266, 11111])).
% 49.06/32.06 tff(11116,assumption,(v26(constB93)), introduced(assumption)).
% 49.06/32.06 tff(11117,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11118,plain,
% 49.06/32.06 ($false),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11117, 43, 11116])).
% 49.06/32.06 tff(11119,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.06 tff(11120,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11121,plain,
% 49.06/32.06 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11122,plain,
% 49.06/32.06 (((~![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) | v112(constB93) | (~v113(constB93))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11121])).
% 49.06/32.06 tff(11123,plain,
% 49.06/32.06 (((~![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) | v112(constB93) | (~v113(constB93)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11122, 11120])).
% 49.06/32.06 tff(11124,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11125,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11124, 11123])).
% 49.06/32.06 tff(11126,plain,
% 49.06/32.06 (v112(constB93) | (~v113(constB93))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11125, 280, 11119])).
% 49.06/32.06 tff(11127,plain,
% 49.06/32.06 (v112(constB93)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11126, 11115])).
% 49.06/32.06 tff(11128,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11129,plain,
% 49.06/32.06 (((~v112(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v112(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11130,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11129])).
% 49.06/32.06 tff(11131,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11130, 11128])).
% 49.06/32.06 tff(11132,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11133,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11132, 11131])).
% 49.06/32.06 tff(11134,plain,
% 49.06/32.06 (v108(constB93)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11133, 292, 11127])).
% 49.06/32.06 tff(11135,plain,
% 49.06/32.06 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11136,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 49.06/32.06 tff(11137,plain,
% 49.06/32.06 (nextState(constB93, constB94)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11136, 11135])).
% 49.06/32.06 tff(11138,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11139,plain,
% 49.06/32.06 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11140,plain,
% 49.06/32.06 (((~![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))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11139])).
% 49.06/32.06 tff(11141,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11140, 11138])).
% 49.06/32.06 tff(11142,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11143,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11142, 11141])).
% 49.06/32.06 tff(11144,plain,
% 49.06/32.06 (v110(constB94) | (~v108(constB93))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11143, 312, 11137])).
% 49.06/32.06 tff(11145,plain,
% 49.06/32.06 (v110(constB94)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11144, 11134])).
% 49.06/32.06 tff(11146,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11147,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11148,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11147, 11146])).
% 49.06/32.06 tff(11149,plain,
% 49.06/32.06 (~v104(constB94)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11148, 330, 11137, 11031])).
% 49.06/32.06 tff(11150,plain,
% 49.06/32.06 (((~![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)) | v102(constB94) | v104(constB94))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11151,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11152,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11151, 11150])).
% 49.06/32.06 tff(11153,plain,
% 49.06/32.06 (v102(constB94) | v104(constB94)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11152, 344, 11137])).
% 49.06/32.06 tff(11154,plain,
% 49.06/32.06 (v102(constB94)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11153, 11149])).
% 49.06/32.06 tff(11155,plain,
% 49.06/32.06 (v1(constB94) <=> v1(constB94)),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11156,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 49.06/32.06 tff(11157,plain,
% 49.06/32.06 (v1(constB94)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 49.06/32.06 tff(11158,plain,
% 49.06/32.06 (((~![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)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11159,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11160,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 49.06/32.06 tff(11161,plain,
% 49.06/32.06 (v101(constB94) | (~v102(constB94))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11160, 362, 11137, 11157])).
% 49.06/32.06 tff(11162,plain,
% 49.06/32.06 (v101(constB94)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11161, 11154])).
% 49.06/32.06 tff(11163,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11164,plain,
% 49.06/32.06 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11165,plain,
% 49.06/32.06 (((~![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))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11164])).
% 49.06/32.06 tff(11166,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11165, 11163])).
% 49.06/32.06 tff(11167,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11168,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11167, 11166])).
% 49.06/32.06 tff(11169,plain,
% 49.06/32.06 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11168, 377, 11137])).
% 49.06/32.06 tff(11170,plain,
% 49.06/32.06 (v100(constB94) | (~v110(constB94))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11169, 11162])).
% 49.06/32.06 tff(11171,plain,
% 49.06/32.06 (v100(constB94)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11170, 11145])).
% 49.06/32.06 tff(11172,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11173,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11174,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 49.06/32.06 tff(11175,plain,
% 49.06/32.06 (v130(constB93, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11174, 1580, 11097])).
% 49.06/32.06 tff(11176,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11177,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11178,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 49.06/32.06 tff(11179,plain,
% 49.06/32.06 ((~v130(constB93, 2)) | v127(constB93, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11178, 1328, 11119])).
% 49.06/32.06 tff(11180,plain,
% 49.06/32.06 (v127(constB93, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11179, 11175])).
% 49.06/32.06 tff(11181,plain,
% 49.06/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11182,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11183,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11182, 11181])).
% 49.06/32.06 tff(11184,plain,
% 49.06/32.06 ((~v127(constB93, 2)) | v129(constB94, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11183, 1343, 11137])).
% 49.06/32.06 tff(11185,plain,
% 49.06/32.06 (v129(constB94, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11184, 11180])).
% 49.06/32.06 tff(11186,plain,
% 49.06/32.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11187,plain,
% 49.06/32.06 ((v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2))) <=> (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11188,plain,
% 49.06/32.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11187])).
% 49.06/32.06 tff(11189,plain,
% 49.06/32.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11188, 11186])).
% 49.06/32.06 tff(11190,plain,
% 49.06/32.06 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11191,plain,
% 49.06/32.06 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 49.06/32.06 tff(11192,plain,
% 49.06/32.06 (v90(constB94, 2) | (~v100(constB94))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11191, 1358, 11185])).
% 49.06/32.06 tff(11193,plain,
% 49.06/32.06 (v90(constB94, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11192, 11171])).
% 49.06/32.06 tff(11194,plain,
% 49.06/32.06 ((~v1(constB95)) <=> (~v1(constB95))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11195,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 49.06/32.06 tff(11196,plain,
% 49.06/32.06 (~v1(constB95)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11195, 11194])).
% 49.06/32.06 tff(11197,plain,
% 49.06/32.06 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11198,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 49.06/32.06 tff(11199,plain,
% 49.06/32.06 (nextState(constB94, constB95)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 49.06/32.06 tff(11200,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11201,plain,
% 49.06/32.06 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11202,plain,
% 49.06/32.06 (((~![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))))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11201])).
% 49.06/32.06 tff(11203,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11202, 11200])).
% 49.06/32.06 tff(11204,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11205,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11204, 11203])).
% 49.06/32.06 tff(11206,plain,
% 49.06/32.06 (~v101(constB95)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11205, 90, 11199, 11196])).
% 49.06/32.06 tff(11207,plain,
% 49.06/32.06 (((~![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)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11208,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11209,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11208, 11207])).
% 49.06/32.06 tff(11210,plain,
% 49.06/32.06 (v101(constB95) | (~v100(constB95))),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11209, 107, 11199])).
% 49.06/32.06 tff(11211,plain,
% 49.06/32.06 (~v100(constB95)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11210, 11206])).
% 49.06/32.06 tff(11212,plain,
% 49.06/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11213,plain,
% 49.06/32.06 (((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)) <=> ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11214,plain,
% 49.06/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)))),
% 49.06/32.06 inference(monotonicity,[status(thm)],[11213])).
% 49.06/32.06 tff(11215,plain,
% 49.06/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 49.06/32.06 inference(transitivity,[status(thm)],[11214, 11212])).
% 49.06/32.06 tff(11216,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))),
% 49.06/32.06 inference(quant_inst,[status(thm)],[])).
% 49.06/32.06 tff(11217,plain,
% 49.06/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)),
% 49.06/32.06 inference(modus_ponens,[status(thm)],[11216, 11215])).
% 49.06/32.06 tff(11218,plain,
% 49.06/32.06 ((~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11217, 1394, 11199])).
% 49.06/32.06 tff(11219,plain,
% 49.06/32.06 ((~v90(constB94, 2)) | v90(constB95, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11218, 11211])).
% 49.06/32.06 tff(11220,plain,
% 49.06/32.06 (v90(constB95, 2)),
% 49.06/32.06 inference(unit_resolution,[status(thm)],[11219, 11193])).
% 49.06/32.06 tff(11221,plain,
% 49.06/32.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1)))),
% 49.06/32.06 inference(rewrite,[status(thm)],[])).
% 49.06/32.06 tff(11222,plain,
% 49.06/32.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))),
% 49.14/32.06 inference(quant_inst,[status(thm)],[])).
% 49.14/32.06 tff(11223,plain,
% 49.14/32.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1))),
% 49.14/32.06 inference(modus_ponens,[status(thm)],[11222, 11221])).
% 49.14/32.06 tff(11224,plain,
% 49.14/32.06 (~v130(constB93, 1)),
% 49.14/32.06 inference(unit_resolution,[status(thm)],[11223, 1636, 11097])).
% 49.14/32.06 tff(11225,plain,
% 49.14/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 49.14/32.06 inference(rewrite,[status(thm)],[])).
% 49.14/32.06 tff(11226,plain,
% 49.14/32.06 ((v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1))) <=> ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 49.14/32.06 inference(rewrite,[status(thm)],[])).
% 49.14/32.06 tff(11227,plain,
% 49.14/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)))),
% 49.14/32.06 inference(monotonicity,[status(thm)],[11226])).
% 49.14/32.06 tff(11228,plain,
% 49.14/32.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 49.14/32.06 inference(transitivity,[status(thm)],[11227, 11225])).
% 49.14/32.06 tff(11229,plain,
% 49.14/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))),
% 49.14/32.06 inference(quant_inst,[status(thm)],[])).
% 49.14/32.06 tff(11230,plain,
% 49.14/32.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)),
% 49.14/32.06 inference(modus_ponens,[status(thm)],[11229, 11228])).
% 49.14/32.06 tff(11231,plain,
% 49.14/32.06 ((~v127(constB93, 1)) | v130(constB93, 1)),
% 49.14/32.06 inference(unit_resolution,[status(thm)],[11230, 408, 11119])).
% 49.14/32.06 tff(11232,plain,
% 49.14/32.06 (~v127(constB93, 1)),
% 49.14/32.06 inference(unit_resolution,[status(thm)],[11231, 11224])).
% 49.14/32.06 tff(11233,plain,
% 49.14/32.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 49.14/32.06 inference(rewrite,[status(thm)],[])).
% 49.14/32.06 tff(11234,plain,
% 49.14/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 49.14/32.06 inference(quant_inst,[status(thm)],[])).
% 49.14/32.06 tff(11235,plain,
% 49.14/32.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1))),
% 49.14/32.06 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 49.14/32.06 tff(11236,plain,
% 49.14/32.06 (v127(constB93, 1) | (~v129(constB94, 1))),
% 49.14/32.06 inference(unit_resolution,[status(thm)],[11235, 438, 11137])).
% 49.14/32.06 tff(11237,plain,
% 49.14/32.06 (~v129(constB94, 1)),
% 49.14/32.06 inference(unit_resolution,[status(thm)],[11236, 11232])).
% 49.14/32.06 tff(11238,plain,
% 49.14/32.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 49.14/32.06 inference(rewrite,[status(thm)],[])).
% 49.14/32.06 tff(11239,plain,
% 49.14/32.06 (((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1)) <=> ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11240,plain,
% 49.14/32.07 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11239])).
% 49.14/32.07 tff(11241,plain,
% 49.14/32.07 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11240, 11238])).
% 49.14/32.07 tff(11242,plain,
% 49.14/32.07 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11243,plain,
% 49.14/32.07 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 49.14/32.07 tff(11244,plain,
% 49.14/32.07 ((~v90(constB94, 1)) | (~v100(constB94))),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11243, 453, 11237])).
% 49.14/32.07 tff(11245,plain,
% 49.14/32.07 (~v90(constB94, 1)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11244, 11171])).
% 49.14/32.07 tff(11246,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11247,plain,
% 49.14/32.07 (((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))) <=> (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11248,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11247])).
% 49.14/32.07 tff(11249,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11248, 11246])).
% 49.14/32.07 tff(11250,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11251,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11250, 11249])).
% 49.14/32.07 tff(11252,plain,
% 49.14/32.07 (v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11251, 143, 11199])).
% 49.14/32.07 tff(11253,plain,
% 49.14/32.07 (v90(constB94, 1) | (~v90(constB95, 1))),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11252, 11211])).
% 49.14/32.07 tff(11254,plain,
% 49.14/32.07 (~v90(constB95, 1)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11253, 11245])).
% 49.14/32.07 tff(11255,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11256,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11257,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 49.14/32.07 tff(11258,plain,
% 49.14/32.07 (v130(constB93, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11257, 1677, 11097])).
% 49.14/32.07 tff(11259,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11260,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11261,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 49.14/32.07 tff(11262,plain,
% 49.14/32.07 ((~v130(constB93, 0)) | v127(constB93, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11261, 515, 11119])).
% 49.14/32.07 tff(11263,plain,
% 49.14/32.07 (v127(constB93, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11262, 11258])).
% 49.14/32.07 tff(11264,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11265,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11266,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 49.14/32.07 tff(11267,plain,
% 49.14/32.07 ((~v127(constB93, 0)) | v129(constB94, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11266, 530, 11137])).
% 49.14/32.07 tff(11268,plain,
% 49.14/32.07 (v129(constB94, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11267, 11263])).
% 49.14/32.07 tff(11269,plain,
% 49.14/32.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11270,plain,
% 49.14/32.07 ((v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0))) <=> (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11271,plain,
% 49.14/32.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11270])).
% 49.14/32.07 tff(11272,plain,
% 49.14/32.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11271, 11269])).
% 49.14/32.07 tff(11273,plain,
% 49.14/32.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11274,plain,
% 49.14/32.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11273, 11272])).
% 49.14/32.07 tff(11275,plain,
% 49.14/32.07 (v90(constB94, 0) | (~v100(constB94))),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11274, 545, 11268])).
% 49.14/32.07 tff(11276,plain,
% 49.14/32.07 (v90(constB94, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11275, 11171])).
% 49.14/32.07 tff(11277,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11278,plain,
% 49.14/32.07 (((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)) <=> ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11279,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11278])).
% 49.14/32.07 tff(11280,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11279, 11277])).
% 49.14/32.07 tff(11281,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11282,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 49.14/32.07 tff(11283,plain,
% 49.14/32.07 ((~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11282, 563, 11199])).
% 49.14/32.07 tff(11284,plain,
% 49.14/32.07 ((~v90(constB94, 0)) | v90(constB95, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11283, 11211])).
% 49.14/32.07 tff(11285,plain,
% 49.14/32.07 (v90(constB95, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11284, 11276])).
% 49.14/32.07 tff(11286,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11287,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11288,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11287, 11286])).
% 49.14/32.07 tff(11289,plain,
% 49.14/32.07 (v124(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11288, 1718, 11285, 11254, 11220])).
% 49.14/32.07 tff(11290,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11291,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11292,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 49.14/32.07 tff(11293,plain,
% 49.14/32.07 (v130(constB95, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11292, 1729, 11289])).
% 49.14/32.07 tff(11294,assumption,(v26(constB95)), introduced(assumption)).
% 49.14/32.07 tff(11295,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11296,plain,
% 49.14/32.07 ($false),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11295, 43, 11294])).
% 49.14/32.07 tff(11297,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 49.14/32.07 tff(11298,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11299,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11300,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11299, 11298])).
% 49.14/32.07 tff(11301,plain,
% 49.14/32.07 ((~v130(constB95, 2)) | v127(constB95, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11300, 1328, 11297])).
% 49.14/32.07 tff(11302,plain,
% 49.14/32.07 (v127(constB95, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11301, 11293])).
% 49.14/32.07 tff(11303,plain,
% 49.14/32.07 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11304,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 49.14/32.07 tff(11305,plain,
% 49.14/32.07 (nextState(constB95, constB96)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 49.14/32.07 tff(11306,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11307,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11308,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11307, 11306])).
% 49.14/32.07 tff(11309,plain,
% 49.14/32.07 ((~v127(constB95, 2)) | v129(constB96, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11308, 1343, 11305])).
% 49.14/32.07 tff(11310,plain,
% 49.14/32.07 (v129(constB96, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11309, 11302])).
% 49.14/32.07 tff(11311,plain,
% 49.14/32.07 (v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[10936, 2200, 10914])).
% 49.14/32.07 tff(11312,plain,
% 49.14/32.07 (v122(constB91)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11311, 10922, 10918, 10930, 10903, 10926])).
% 49.14/32.07 tff(11313,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB91)) | (~v90(constB91, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB91)) | (~v90(constB91, 2)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11314,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB91)) | (~v90(constB91, 2)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11315,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB91)) | (~v90(constB91, 2))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11314, 11313])).
% 49.14/32.07 tff(11316,plain,
% 49.14/32.07 (~v90(constB91, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11315, 2039, 11312])).
% 49.14/32.07 tff(11317,assumption,(~v113(constB95)), introduced(assumption)).
% 49.14/32.07 tff(11318,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11319,plain,
% 49.14/32.07 (((~v114(constB95)) | v113(constB95)) <=> (v113(constB95) | (~v114(constB95)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11320,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v114(constB95))))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11319])).
% 49.14/32.07 tff(11321,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95)))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11320, 11318])).
% 49.14/32.07 tff(11322,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11323,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11322, 11321])).
% 49.14/32.07 tff(11324,plain,
% 49.14/32.07 (~v114(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11323, 266, 11317])).
% 49.14/32.07 tff(11325,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB95)) | v114(constB95))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11326,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB95)) | v114(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11327,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB95)) | v114(constB95)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11326, 11325])).
% 49.14/32.07 tff(11328,plain,
% 49.14/32.07 (~v115(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11327, 252, 11324])).
% 49.14/32.07 tff(11329,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB95) | (~v116(constB95)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB95) | (~v116(constB95)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11330,plain,
% 49.14/32.07 (((~v116(constB95)) | v115(constB95)) <=> (v115(constB95) | (~v116(constB95)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11331,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB95)) | v115(constB95))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB95) | (~v116(constB95))))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11330])).
% 49.14/32.07 tff(11332,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB95)) | v115(constB95))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB95) | (~v116(constB95)))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11331, 11329])).
% 49.14/32.07 tff(11333,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB95)) | v115(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11334,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB95) | (~v116(constB95))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11333, 11332])).
% 49.14/32.07 tff(11335,plain,
% 49.14/32.07 (~v116(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11334, 238, 11328])).
% 49.14/32.07 tff(11336,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB95)) | v116(constB95))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB95)) | v116(constB95))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11337,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB95)) | v116(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11338,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB95)) | v116(constB95)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 49.14/32.07 tff(11339,plain,
% 49.14/32.07 (~v117(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11338, 224, 11335])).
% 49.14/32.07 tff(11340,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB95)) | v117(constB95))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB95)) | v117(constB95))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11341,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB95)) | v117(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11342,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB95)) | v117(constB95)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 49.14/32.07 tff(11343,plain,
% 49.14/32.07 (~v121(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11342, 1001, 11339])).
% 49.14/32.07 tff(11344,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB95)) | v116(constB95))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB95)) | v116(constB95))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11345,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB95)) | v116(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11346,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB95)) | v116(constB95)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 49.14/32.07 tff(11347,plain,
% 49.14/32.07 (~v122(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11346, 1236, 11335])).
% 49.14/32.07 tff(11348,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB95) | (~v118(constB95)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v118(constB95)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11349,plain,
% 49.14/32.07 (((~v118(constB95)) | v117(constB95)) <=> (v117(constB95) | (~v118(constB95)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11350,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB95)) | v117(constB95))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB95) | (~v118(constB95))))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11349])).
% 49.14/32.07 tff(11351,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB95)) | v117(constB95))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v118(constB95)))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11350, 11348])).
% 49.14/32.07 tff(11352,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB95)) | v117(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11353,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v118(constB95))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 49.14/32.07 tff(11354,plain,
% 49.14/32.07 (~v118(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11353, 210, 11339])).
% 49.14/32.07 tff(11355,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB95)) | v118(constB95))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB95)) | v118(constB95))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11356,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB95)) | v118(constB95))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11357,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB95)) | v118(constB95)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 49.14/32.07 tff(11358,plain,
% 49.14/32.07 (~v120(constB95)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11357, 665, 11354])).
% 49.14/32.07 tff(11359,assumption,(v119(constB95)), introduced(assumption)).
% 49.14/32.07 tff(11360,plain,
% 49.14/32.07 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 0))))),
% 49.14/32.07 inference(bind,[status(th)],[])).
% 49.14/32.07 tff(11361,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.14/32.07 inference(quant_intro,[status(thm)],[11360])).
% 49.14/32.07 tff(11362,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11363,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 49.14/32.07 tff(11364,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 49.14/32.07 tff(11365,plain,(
% 49.14/32.07 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.14/32.07 inference(skolemize,[status(sab)],[11364])).
% 49.14/32.07 tff(11366,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11365, 11361])).
% 49.14/32.07 tff(11367,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB95)) | (~v90(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB95)) | (~v90(constB95, 0)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11368,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB95)) | (~v90(constB95, 0)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11369,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB95)) | (~v90(constB95, 0))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 49.14/32.07 tff(11370,plain,
% 49.14/32.07 (~v90(constB95, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11369, 11366, 11359])).
% 49.14/32.07 tff(11371,plain,
% 49.14/32.07 (~v90(constB94, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11284, 11370])).
% 49.14/32.07 tff(11372,plain,
% 49.14/32.07 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 2))))),
% 49.14/32.07 inference(bind,[status(th)],[])).
% 49.14/32.07 tff(11373,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 49.14/32.07 inference(quant_intro,[status(thm)],[11372])).
% 49.14/32.07 tff(11374,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11375,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 49.14/32.07 tff(11376,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11375, 11374])).
% 49.14/32.07 tff(11377,plain,(
% 49.14/32.07 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 49.14/32.07 inference(skolemize,[status(sab)],[11376])).
% 49.14/32.07 tff(11378,plain,
% 49.14/32.07 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11377, 11373])).
% 49.14/32.07 tff(11379,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB95)) | (~v90(constB95, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB95)) | (~v90(constB95, 2)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11380,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB95)) | (~v90(constB95, 2)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11381,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB95)) | (~v90(constB95, 2))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 49.14/32.07 tff(11382,plain,
% 49.14/32.07 (~v90(constB95, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11381, 11378, 11359])).
% 49.14/32.07 tff(11383,plain,
% 49.14/32.07 (~v90(constB94, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11219, 11382])).
% 49.14/32.07 tff(11384,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB95)) | (~v90(constB95, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB95)) | (~v90(constB95, 1)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11385,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB95)) | (~v90(constB95, 1)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11386,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB95)) | (~v90(constB95, 1))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 49.14/32.07 tff(11387,plain,
% 49.14/32.07 (~v90(constB95, 1)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11386, 2050, 11359])).
% 49.14/32.07 tff(11388,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB94, 1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB94, 1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 1))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11389,plain,
% 49.14/32.07 (((~nextState(constB94, constB95)) | (~v90(constB94, 1)) | v100(constB95) | v90(constB95, 1)) <=> ((~v90(constB94, 1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 1))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11390,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 1)) | v100(constB95) | v90(constB95, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB94, 1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 1)))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11389])).
% 49.14/32.07 tff(11391,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 1)) | v100(constB95) | v90(constB95, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB94, 1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 1))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11390, 11388])).
% 49.14/32.07 tff(11392,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 1)) | v100(constB95) | v90(constB95, 1))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11393,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB94, 1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 1)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11392, 11391])).
% 49.14/32.07 tff(11394,plain,
% 49.14/32.07 ((~v90(constB94, 1)) | v100(constB95) | v90(constB95, 1)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11393, 900, 11199])).
% 49.14/32.07 tff(11395,plain,
% 49.14/32.07 ((~v90(constB94, 1)) | v90(constB95, 1)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11394, 11211])).
% 49.14/32.07 tff(11396,plain,
% 49.14/32.07 (~v90(constB94, 1)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11395, 11387])).
% 49.14/32.07 tff(11397,assumption,(~v90(constB94, 1)), introduced(assumption)).
% 49.14/32.07 tff(11398,assumption,(~v90(constB94, 0)), introduced(assumption)).
% 49.14/32.07 tff(11399,assumption,(~v90(constB94, 2)), introduced(assumption)).
% 49.14/32.07 tff(11400,assumption,(~v130(constB93, 2)), introduced(assumption)).
% 49.14/32.07 tff(11401,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB93)) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB93)) | v130(constB93, 2))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11402,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB93)) | v130(constB93, 2))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11403,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB93)) | v130(constB93, 2)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11402, 11401])).
% 49.14/32.07 tff(11404,plain,
% 49.14/32.07 (~v122(constB93)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11403, 1314, 11400])).
% 49.14/32.07 tff(11405,plain,
% 49.14/32.07 (~v123(constB93)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11174, 1580, 11400])).
% 49.14/32.07 tff(11406,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB93)) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB93)) | v130(constB93, 2))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11407,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB93)) | v130(constB93, 2))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11408,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB93)) | v130(constB93, 2)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 49.14/32.07 tff(11409,plain,
% 49.14/32.07 (~v124(constB93)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11408, 1729, 11400])).
% 49.14/32.07 tff(11410,assumption,(v90(constB93, 2)), introduced(assumption)).
% 49.14/32.07 tff(11411,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB93)) | (~v90(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB93)) | (~v90(constB93, 2)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11412,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB93)) | (~v90(constB93, 2)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11413,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB93)) | (~v90(constB93, 2))),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11412, 11411])).
% 49.14/32.07 tff(11414,plain,
% 49.14/32.07 (~v121(constB93)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11413, 2028, 11410])).
% 49.14/32.07 tff(11415,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11416,plain,
% 49.14/32.07 (((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2)) <=> ((~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11417,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2)))),
% 49.14/32.07 inference(monotonicity,[status(thm)],[11416])).
% 49.14/32.07 tff(11418,plain,
% 49.14/32.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))),
% 49.14/32.07 inference(transitivity,[status(thm)],[11417, 11415])).
% 49.14/32.07 tff(11419,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11420,plain,
% 49.14/32.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2)),
% 49.14/32.07 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 49.14/32.07 tff(11421,plain,
% 49.14/32.07 ((~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11420, 1394, 11137])).
% 49.14/32.07 tff(11422,plain,
% 49.14/32.07 (v100(constB94)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11421, 11410, 11399])).
% 49.14/32.07 tff(11423,plain,
% 49.14/32.07 ((~v129(constB94, 0)) | (~v100(constB94))),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11274, 545, 11398])).
% 49.14/32.07 tff(11424,plain,
% 49.14/32.07 (~v129(constB94, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11423, 11422])).
% 49.14/32.07 tff(11425,plain,
% 49.14/32.07 (~v127(constB93, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11267, 11424])).
% 49.14/32.07 tff(11426,plain,
% 49.14/32.07 (~v130(constB93, 0)),
% 49.14/32.07 inference(unit_resolution,[status(thm)],[11262, 11425])).
% 49.14/32.07 tff(11427,plain,
% 49.14/32.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB93)) | (~v90(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB93)) | (~v90(constB93, 2)))),
% 49.14/32.07 inference(rewrite,[status(thm)],[])).
% 49.14/32.07 tff(11428,plain,
% 49.14/32.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB93)) | (~v90(constB93, 2)))),
% 49.14/32.07 inference(quant_inst,[status(thm)],[])).
% 49.14/32.07 tff(11429,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB93)) | (~v90(constB93, 2))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 49.14/32.08 tff(11430,plain,
% 49.14/32.08 (~v120(constB93)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11429, 3158, 11410])).
% 49.14/32.08 tff(11431,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB93)) | (~v90(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB93)) | (~v90(constB93, 2)))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11432,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB93)) | (~v90(constB93, 2)))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11433,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB93)) | (~v90(constB93, 2))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 49.14/32.08 tff(11434,plain,
% 49.14/32.08 (~v119(constB93)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11433, 11378, 11410])).
% 49.14/32.08 tff(11435,assumption,(~v122(constB93)), introduced(assumption)).
% 49.14/32.08 tff(11436,assumption,(~v124(constB93)), introduced(assumption)).
% 49.14/32.08 tff(11437,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, 0))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11438,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, 0))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11439,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | v130(constB93, 0)),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11438, 11437])).
% 49.14/32.08 tff(11440,plain,
% 49.14/32.08 (v119(constB93) | v120(constB93) | v121(constB93) | v130(constB93, 0)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11439, 2200, 11436, 11090, 11435])).
% 49.14/32.08 tff(11441,plain,
% 49.14/32.08 ($false),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11440, 11434, 11430, 11426, 11414])).
% 49.14/32.08 tff(11442,plain,((~v90(constB93, 2)) | v124(constB93) | v123(constB93) | v122(constB93) | v90(constB94, 0) | v90(constB94, 2)), inference(lemma,lemma(discharge,[]))).
% 49.14/32.08 tff(11443,plain,
% 49.14/32.08 (~v90(constB93, 2)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11442, 11409, 11405, 11404, 11398, 11399])).
% 49.14/32.08 tff(11444,plain,
% 49.14/32.08 (~v90(constB92, 2)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11054, 11443])).
% 49.14/32.08 tff(11445,assumption,(~v110(constB92)), introduced(assumption)).
% 49.14/32.08 tff(11446,plain,
% 49.14/32.08 (~v108(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[10979, 11445])).
% 49.14/32.08 tff(11447,plain,
% 49.14/32.08 (~v112(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[10971, 292, 11446])).
% 49.14/32.08 tff(11448,plain,
% 49.14/32.08 (~v113(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[10964, 11447])).
% 49.14/32.08 tff(11449,plain,
% 49.14/32.08 (~v114(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[10956, 266, 11448])).
% 49.14/32.08 tff(11450,plain,
% 49.14/32.08 (~v115(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[10952, 252, 11449])).
% 49.14/32.08 tff(11451,plain,
% 49.14/32.08 (~v116(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[10945, 238, 11450])).
% 49.14/32.08 tff(11452,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB91) | (~v117(constB91)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v117(constB91)))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11453,plain,
% 49.14/32.08 (((~v117(constB91)) | v116(constB91)) <=> (v116(constB91) | (~v117(constB91)))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11454,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB91) | (~v117(constB91))))),
% 49.14/32.08 inference(monotonicity,[status(thm)],[11453])).
% 49.14/32.08 tff(11455,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v117(constB91)))),
% 49.14/32.08 inference(transitivity,[status(thm)],[11454, 11452])).
% 49.14/32.08 tff(11456,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB91)) | v116(constB91))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11457,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v117(constB91))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 49.14/32.08 tff(11458,plain,
% 49.14/32.08 (~v117(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11457, 224, 11451])).
% 49.14/32.08 tff(11459,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB91) | (~v118(constB91)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB91) | (~v118(constB91)))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11460,plain,
% 49.14/32.08 (((~v118(constB91)) | v117(constB91)) <=> (v117(constB91) | (~v118(constB91)))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11461,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB91)) | v117(constB91))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB91) | (~v118(constB91))))),
% 49.14/32.08 inference(monotonicity,[status(thm)],[11460])).
% 49.14/32.08 tff(11462,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB91)) | v117(constB91))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB91) | (~v118(constB91)))),
% 49.14/32.08 inference(transitivity,[status(thm)],[11461, 11459])).
% 49.14/32.08 tff(11463,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB91)) | v117(constB91))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11464,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB91) | (~v118(constB91))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11463, 11462])).
% 49.14/32.08 tff(11465,plain,
% 49.14/32.08 (~v118(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11464, 210, 11458])).
% 49.14/32.08 tff(11466,plain,
% 49.14/32.08 (~v122(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[10941, 1236, 11451])).
% 49.14/32.08 tff(11467,assumption,(~v90(constB92, 2)), introduced(assumption)).
% 49.14/32.08 tff(11468,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB91)) | v117(constB91))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB91)) | v117(constB91))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11469,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB91)) | v117(constB91))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11470,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB91)) | v117(constB91)),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11469, 11468])).
% 49.14/32.08 tff(11471,plain,
% 49.14/32.08 (~v121(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11470, 1001, 11458])).
% 49.14/32.08 tff(11472,plain,
% 49.14/32.08 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 49.14/32.08 inference(bind,[status(th)],[])).
% 49.14/32.08 tff(11473,plain,
% 49.14/32.08 (![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)))),
% 49.14/32.08 inference(quant_intro,[status(thm)],[11472])).
% 49.14/32.08 tff(11474,plain,
% 49.14/32.08 (![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)))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11475,plain,
% 49.14/32.08 (^[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)))))),
% 49.14/32.08 inference(bind,[status(th)],[])).
% 49.14/32.08 tff(11476,plain,
% 49.14/32.08 (![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)))),
% 49.14/32.08 inference(quant_intro,[status(thm)],[11475])).
% 49.14/32.08 tff(11477,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')).
% 49.14/32.08 tff(11478,plain,
% 49.14/32.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11477, 11476])).
% 49.14/32.08 tff(11479,plain,
% 49.14/32.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11478, 11474])).
% 49.14/32.08 tff(11480,plain,(
% 49.14/32.08 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 49.14/32.08 inference(skolemize,[status(sab)],[11479])).
% 49.14/32.08 tff(11481,plain,
% 49.14/32.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11480, 11473])).
% 49.14/32.08 tff(11482,plain,
% 49.14/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v100(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v100(constB92)))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11483,plain,
% 49.14/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v100(constB92)))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11484,plain,
% 49.14/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v100(constB92))),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11483, 11482])).
% 49.14/32.08 tff(11485,plain,
% 49.14/32.08 (v110(constB92) | (~v100(constB92))),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11484, 11481, 10862])).
% 49.14/32.08 tff(11486,plain,
% 49.14/32.08 (~v100(constB92)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11485, 11445])).
% 49.14/32.08 tff(11487,plain,
% 49.14/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB91, 2)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB91, 2)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, 2))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11488,plain,
% 49.14/32.08 (((~nextState(constB91, constB92)) | (~v90(constB91, 2)) | v100(constB92) | v90(constB92, 2)) <=> ((~v90(constB91, 2)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, 2))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11489,plain,
% 49.14/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v90(constB91, 2)) | v100(constB92) | v90(constB92, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB91, 2)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, 2)))),
% 49.14/32.08 inference(monotonicity,[status(thm)],[11488])).
% 49.14/32.08 tff(11490,plain,
% 49.14/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v90(constB91, 2)) | v100(constB92) | v90(constB92, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB91, 2)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, 2))),
% 49.14/32.08 inference(transitivity,[status(thm)],[11489, 11487])).
% 49.14/32.08 tff(11491,plain,
% 49.14/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v90(constB91, 2)) | v100(constB92) | v90(constB92, 2))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11492,plain,
% 49.14/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB91, 2)) | (~nextState(constB91, constB92)) | v100(constB92) | v90(constB92, 2)),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 49.14/32.08 tff(11493,plain,
% 49.14/32.08 ((~v90(constB91, 2)) | v100(constB92) | v90(constB92, 2)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11492, 1394, 10862])).
% 49.14/32.08 tff(11494,plain,
% 49.14/32.08 (~v90(constB91, 2)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11493, 11486, 11467])).
% 49.14/32.08 tff(11495,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB91)) | v118(constB91))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB91)) | v118(constB91))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11496,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB91)) | v118(constB91))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11497,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB91)) | v118(constB91)),
% 49.14/32.08 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 49.14/32.08 tff(11498,plain,
% 49.14/32.08 (~v119(constB91)),
% 49.14/32.08 inference(unit_resolution,[status(thm)],[11497, 199, 11465])).
% 49.14/32.08 tff(11499,assumption,(~v119(constB91)), introduced(assumption)).
% 49.14/32.08 tff(11500,assumption,(~v90(constB91, 1)), introduced(assumption)).
% 49.14/32.08 tff(11501,assumption,(~v90(constB91, 2)), introduced(assumption)).
% 49.14/32.08 tff(11502,plain,
% 49.14/32.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB91, 0)) | v90(constB91, 1) | v90(constB91, 2) | v120(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB91, 0)) | v90(constB91, 1) | v90(constB91, 2) | v120(constB91))),
% 49.14/32.08 inference(rewrite,[status(thm)],[])).
% 49.14/32.08 tff(11503,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB91, 0)) | v90(constB91, 1) | v90(constB91, 2) | v120(constB91))),
% 49.14/32.08 inference(quant_inst,[status(thm)],[])).
% 49.14/32.08 tff(11504,plain,
% 49.14/32.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB91, 0)) | v90(constB91, 1) | v90(constB91, 2) | v120(constB91)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11503, 11502])).
% 49.16/32.08 tff(11505,plain,
% 49.16/32.08 ((~v90(constB91, 0)) | v90(constB91, 1) | v90(constB91, 2)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11504, 651, 10931])).
% 49.16/32.08 tff(11506,plain,
% 49.16/32.08 (~v90(constB91, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11505, 11500, 11501])).
% 49.16/32.08 tff(11507,plain,
% 49.16/32.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB91, 0) | v90(constB91, 1) | v90(constB91, 2) | v119(constB91))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB91, 0) | v90(constB91, 1) | v90(constB91, 2) | v119(constB91))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11508,plain,
% 49.16/32.08 ((v90(constB91, 0) | v119(constB91) | v90(constB91, 1) | v90(constB91, 2)) <=> (v90(constB91, 0) | v90(constB91, 1) | v90(constB91, 2) | v119(constB91))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11509,plain,
% 49.16/32.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB91, 0) | v119(constB91) | v90(constB91, 1) | v90(constB91, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB91, 0) | v90(constB91, 1) | v90(constB91, 2) | v119(constB91)))),
% 49.16/32.08 inference(monotonicity,[status(thm)],[11508])).
% 49.16/32.08 tff(11510,plain,
% 49.16/32.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB91, 0) | v119(constB91) | v90(constB91, 1) | v90(constB91, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB91, 0) | v90(constB91, 1) | v90(constB91, 2) | v119(constB91))),
% 49.16/32.08 inference(transitivity,[status(thm)],[11509, 11507])).
% 49.16/32.08 tff(11511,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB91, 0) | v119(constB91) | v90(constB91, 1) | v90(constB91, 2))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11512,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB91, 0) | v90(constB91, 1) | v90(constB91, 2) | v119(constB91)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 49.16/32.08 tff(11513,plain,
% 49.16/32.08 (v90(constB91, 0) | v90(constB91, 1) | v119(constB91)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11512, 185, 11501])).
% 49.16/32.08 tff(11514,plain,
% 49.16/32.08 ($false),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11513, 11506, 11500, 11499])).
% 49.16/32.08 tff(11515,plain,(v90(constB91, 1) | v119(constB91) | v90(constB91, 2) | v120(constB91)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.08 tff(11516,plain,
% 49.16/32.08 (v90(constB91, 1)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11515, 11498, 11494, 10931])).
% 49.16/32.08 tff(11517,plain,
% 49.16/32.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB91, 0) | (~v90(constB91, 1)) | v90(constB91, 2) | v121(constB91))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB91, 0) | (~v90(constB91, 1)) | v90(constB91, 2) | v121(constB91))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11518,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB91, 0) | (~v90(constB91, 1)) | v90(constB91, 2) | v121(constB91))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11519,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB91, 0) | (~v90(constB91, 1)) | v90(constB91, 2) | v121(constB91)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11518, 11517])).
% 49.16/32.08 tff(11520,plain,
% 49.16/32.08 (v90(constB91, 0) | (~v90(constB91, 1)) | v90(constB91, 2)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11519, 990, 10932])).
% 49.16/32.08 tff(11521,plain,
% 49.16/32.08 (v90(constB91, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11520, 11516, 11494])).
% 49.16/32.08 tff(11522,plain,
% 49.16/32.08 ($false),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[10834, 11521, 11516, 11494])).
% 49.16/32.08 tff(11523,plain,(v110(constB92) | v122(constB91) | v121(constB91) | v120(constB91) | v90(constB92, 2)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.08 tff(11524,plain,
% 49.16/32.08 (v120(constB91)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11523, 11471, 11467, 11445, 11466])).
% 49.16/32.08 tff(11525,plain,
% 49.16/32.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB91)) | v118(constB91))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB91)) | v118(constB91))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11526,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB91)) | v118(constB91))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11527,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB91)) | v118(constB91)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 49.16/32.08 tff(11528,plain,
% 49.16/32.08 ($false),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11527, 665, 11524, 11465])).
% 49.16/32.08 tff(11529,plain,(v110(constB92) | v90(constB92, 2)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.08 tff(11530,plain,
% 49.16/32.08 (v110(constB92)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11529, 11444])).
% 49.16/32.08 tff(11531,plain,
% 49.16/32.08 (v100(constB92)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11005, 11530])).
% 49.16/32.08 tff(11532,plain,
% 49.16/32.08 ((~v129(constB92, 2)) | (~v100(constB92))),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11026, 1358, 11444])).
% 49.16/32.08 tff(11533,plain,
% 49.16/32.08 (~v129(constB92, 2)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11532, 11531])).
% 49.16/32.08 tff(11534,plain,
% 49.16/32.08 (~v127(constB91, 2)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11019, 11533])).
% 49.16/32.08 tff(11535,plain,
% 49.16/32.08 (~v130(constB91, 2)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11014, 11534])).
% 49.16/32.08 tff(11536,plain,
% 49.16/32.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB91)) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB91)) | v130(constB91, 2))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11537,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB91)) | v130(constB91, 2))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11538,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB91)) | v130(constB91, 2)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 49.16/32.08 tff(11539,plain,
% 49.16/32.08 (~v123(constB91)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11538, 1580, 11535])).
% 49.16/32.08 tff(11540,plain,
% 49.16/32.08 (~v122(constB91)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11009, 1314, 11535])).
% 49.16/32.08 tff(11541,plain,
% 49.16/32.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB91)) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB91)) | v130(constB91, 2))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11542,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB91)) | v130(constB91, 2))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11543,plain,
% 49.16/32.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB91)) | v130(constB91, 2)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11542, 11541])).
% 49.16/32.08 tff(11544,plain,
% 49.16/32.08 (~v124(constB91)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11543, 1729, 11535])).
% 49.16/32.08 tff(11545,assumption,(~v100(constB94)), introduced(assumption)).
% 49.16/32.08 tff(11546,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11547,plain,
% 49.16/32.08 (((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0)) <=> ((~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11548,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0)))),
% 49.16/32.08 inference(monotonicity,[status(thm)],[11547])).
% 49.16/32.08 tff(11549,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))),
% 49.16/32.08 inference(transitivity,[status(thm)],[11548, 11546])).
% 49.16/32.08 tff(11550,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11551,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 49.16/32.08 tff(11552,plain,
% 49.16/32.08 ((~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11551, 563, 11137])).
% 49.16/32.08 tff(11553,plain,
% 49.16/32.08 (~v90(constB93, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11552, 11545, 11398])).
% 49.16/32.08 tff(11554,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB92, 0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB92, 0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 0))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11555,plain,
% 49.16/32.08 (((~nextState(constB92, constB93)) | (~v90(constB92, 0)) | v100(constB93) | v90(constB93, 0)) <=> ((~v90(constB92, 0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 0))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11556,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 0)) | v100(constB93) | v90(constB93, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB92, 0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 0)))),
% 49.16/32.08 inference(monotonicity,[status(thm)],[11555])).
% 49.16/32.08 tff(11557,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 0)) | v100(constB93) | v90(constB93, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB92, 0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 0))),
% 49.16/32.08 inference(transitivity,[status(thm)],[11556, 11554])).
% 49.16/32.08 tff(11558,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 0)) | v100(constB93) | v90(constB93, 0))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11559,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB92, 0)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 0)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11558, 11557])).
% 49.16/32.08 tff(11560,plain,
% 49.16/32.08 ((~v90(constB92, 0)) | v100(constB93) | v90(constB93, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11559, 563, 11034])).
% 49.16/32.08 tff(11561,plain,
% 49.16/32.08 ((~v90(constB92, 0)) | v90(constB93, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11560, 11046])).
% 49.16/32.08 tff(11562,plain,
% 49.16/32.08 (~v90(constB92, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11561, 11553])).
% 49.16/32.08 tff(11563,assumption,(v100(constB92)), introduced(assumption)).
% 49.16/32.08 tff(11564,plain,
% 49.16/32.08 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB92, 0) | (~v129(constB92, 0)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB92, 0) | (~v129(constB92, 0)) | (~v100(constB92)))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11565,plain,
% 49.16/32.08 ((v90(constB92, 0) | (~v100(constB92)) | (~v129(constB92, 0))) <=> (v90(constB92, 0) | (~v129(constB92, 0)) | (~v100(constB92)))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11566,plain,
% 49.16/32.08 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB92, 0) | (~v100(constB92)) | (~v129(constB92, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB92, 0) | (~v129(constB92, 0)) | (~v100(constB92))))),
% 49.16/32.08 inference(monotonicity,[status(thm)],[11565])).
% 49.16/32.08 tff(11567,plain,
% 49.16/32.08 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB92, 0) | (~v100(constB92)) | (~v129(constB92, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB92, 0) | (~v129(constB92, 0)) | (~v100(constB92)))),
% 49.16/32.08 inference(transitivity,[status(thm)],[11566, 11564])).
% 49.16/32.08 tff(11568,plain,
% 49.16/32.08 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB92, 0) | (~v100(constB92)) | (~v129(constB92, 0)))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11569,plain,
% 49.16/32.08 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB92, 0) | (~v129(constB92, 0)) | (~v100(constB92))),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 49.16/32.08 tff(11570,plain,
% 49.16/32.08 (v90(constB92, 0) | (~v129(constB92, 0))),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11569, 545, 11563])).
% 49.16/32.08 tff(11571,plain,
% 49.16/32.08 (~v129(constB92, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11570, 11562])).
% 49.16/32.08 tff(11572,plain,
% 49.16/32.08 (~v127(constB91, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[10908, 11571])).
% 49.16/32.08 tff(11573,plain,
% 49.16/32.08 (~v130(constB91, 0)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[10913, 11572])).
% 49.16/32.08 tff(11574,plain,
% 49.16/32.08 (~v119(constB91)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[10929, 501, 11573])).
% 49.16/32.08 tff(11575,plain,
% 49.16/32.08 (~v121(constB91)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[10917, 1184, 11573])).
% 49.16/32.08 tff(11576,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11577,plain,
% 49.16/32.08 (((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1)) <=> ((~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11578,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1)))),
% 49.16/32.08 inference(monotonicity,[status(thm)],[11577])).
% 49.16/32.08 tff(11579,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))),
% 49.16/32.08 inference(transitivity,[status(thm)],[11578, 11576])).
% 49.16/32.08 tff(11580,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11581,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 49.16/32.08 tff(11582,plain,
% 49.16/32.08 ((~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11581, 900, 11137])).
% 49.16/32.08 tff(11583,plain,
% 49.16/32.08 (~v90(constB93, 1)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11582, 11545, 11397])).
% 49.16/32.08 tff(11584,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB92, 1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB92, 1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 1))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11585,plain,
% 49.16/32.08 (((~nextState(constB92, constB93)) | (~v90(constB92, 1)) | v100(constB93) | v90(constB93, 1)) <=> ((~v90(constB92, 1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 1))),
% 49.16/32.08 inference(rewrite,[status(thm)],[])).
% 49.16/32.08 tff(11586,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 1)) | v100(constB93) | v90(constB93, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB92, 1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 1)))),
% 49.16/32.08 inference(monotonicity,[status(thm)],[11585])).
% 49.16/32.08 tff(11587,plain,
% 49.16/32.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 1)) | v100(constB93) | v90(constB93, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB92, 1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 1))),
% 49.16/32.08 inference(transitivity,[status(thm)],[11586, 11584])).
% 49.16/32.08 tff(11588,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 1)) | v100(constB93) | v90(constB93, 1))),
% 49.16/32.08 inference(quant_inst,[status(thm)],[])).
% 49.16/32.08 tff(11589,plain,
% 49.16/32.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB92, 1)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 1)),
% 49.16/32.08 inference(modus_ponens,[status(thm)],[11588, 11587])).
% 49.16/32.08 tff(11590,plain,
% 49.16/32.08 ((~v90(constB92, 1)) | v100(constB93) | v90(constB93, 1)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11589, 900, 11034])).
% 49.16/32.08 tff(11591,plain,
% 49.16/32.08 ((~v90(constB92, 1)) | v90(constB93, 1)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11590, 11046])).
% 49.16/32.08 tff(11592,plain,
% 49.16/32.08 (~v90(constB92, 1)),
% 49.16/32.08 inference(unit_resolution,[status(thm)],[11591, 11583])).
% 49.16/32.08 tff(11593,plain,
% 49.16/32.08 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB92, 1) | (~v129(constB92, 1)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB92, 1) | (~v129(constB92, 1)) | (~v100(constB92)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11594,plain,
% 49.16/32.09 ((v90(constB92, 1) | (~v100(constB92)) | (~v129(constB92, 1))) <=> (v90(constB92, 1) | (~v129(constB92, 1)) | (~v100(constB92)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11595,plain,
% 49.16/32.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB92, 1) | (~v100(constB92)) | (~v129(constB92, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB92, 1) | (~v129(constB92, 1)) | (~v100(constB92))))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11594])).
% 49.16/32.09 tff(11596,plain,
% 49.16/32.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB92, 1) | (~v100(constB92)) | (~v129(constB92, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB92, 1) | (~v129(constB92, 1)) | (~v100(constB92)))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11595, 11593])).
% 49.16/32.09 tff(11597,plain,
% 49.16/32.09 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB92, 1) | (~v100(constB92)) | (~v129(constB92, 1)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11598,plain,
% 49.16/32.09 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB92, 1) | (~v129(constB92, 1)) | (~v100(constB92))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11597, 11596])).
% 49.16/32.09 tff(11599,plain,
% 49.16/32.09 (v90(constB92, 1) | (~v129(constB92, 1))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11598, 882, 11563])).
% 49.16/32.09 tff(11600,plain,
% 49.16/32.09 (~v129(constB92, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11599, 11592])).
% 49.16/32.09 tff(11601,plain,
% 49.16/32.09 (~v127(constB91, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10893, 11600])).
% 49.16/32.09 tff(11602,plain,
% 49.16/32.09 (~v130(constB91, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10898, 11601])).
% 49.16/32.09 tff(11603,plain,
% 49.16/32.09 (~v120(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10921, 838, 11602])).
% 49.16/32.09 tff(11604,assumption,(~v123(constB91)), introduced(assumption)).
% 49.16/32.09 tff(11605,plain,
% 49.16/32.09 (v119(constB91) | v120(constB91) | v121(constB91) | v130(constB91, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10936, 2200, 10933, 10830, 11604])).
% 49.16/32.09 tff(11606,plain,
% 49.16/32.09 ($false),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11605, 11603, 11575, 11573, 11574])).
% 49.16/32.09 tff(11607,plain,(v100(constB94) | v124(constB91) | v122(constB91) | v123(constB91) | (~v100(constB92)) | v90(constB94, 1) | v90(constB94, 0)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.09 tff(11608,plain,
% 49.16/32.09 (v100(constB94)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11607, 11544, 11540, 11539, 11531, 11397, 11398])).
% 49.16/32.09 tff(11609,plain,
% 49.16/32.09 (~v129(constB94, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11423, 11608])).
% 49.16/32.09 tff(11610,plain,
% 49.16/32.09 (~v127(constB93, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11267, 11609])).
% 49.16/32.09 tff(11611,plain,
% 49.16/32.09 (~v130(constB93, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11262, 11610])).
% 49.16/32.09 tff(11612,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB93)) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB93)) | v130(constB93, 0))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11613,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB93)) | v130(constB93, 0))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11614,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB93)) | v130(constB93, 0)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11613, 11612])).
% 49.16/32.09 tff(11615,plain,
% 49.16/32.09 (~v121(constB93)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11614, 1184, 11611])).
% 49.16/32.09 tff(11616,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB93)) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB93)) | v130(constB93, 0))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11617,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB93)) | v130(constB93, 0))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11618,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB93)) | v130(constB93, 0)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11617, 11616])).
% 49.16/32.09 tff(11619,plain,
% 49.16/32.09 (~v119(constB93)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11618, 501, 11611])).
% 49.16/32.09 tff(11620,plain,
% 49.16/32.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB94, 1) | (~v129(constB94, 1)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB94, 1) | (~v129(constB94, 1)) | (~v100(constB94)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11621,plain,
% 49.16/32.09 ((v90(constB94, 1) | (~v100(constB94)) | (~v129(constB94, 1))) <=> (v90(constB94, 1) | (~v129(constB94, 1)) | (~v100(constB94)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11622,plain,
% 49.16/32.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB94, 1) | (~v100(constB94)) | (~v129(constB94, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB94, 1) | (~v129(constB94, 1)) | (~v100(constB94))))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11621])).
% 49.16/32.09 tff(11623,plain,
% 49.16/32.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB94, 1) | (~v100(constB94)) | (~v129(constB94, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB94, 1) | (~v129(constB94, 1)) | (~v100(constB94)))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11622, 11620])).
% 49.16/32.09 tff(11624,plain,
% 49.16/32.09 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB94, 1) | (~v100(constB94)) | (~v129(constB94, 1)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11625,plain,
% 49.16/32.09 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB94, 1) | (~v129(constB94, 1)) | (~v100(constB94))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11624, 11623])).
% 49.16/32.09 tff(11626,plain,
% 49.16/32.09 ((~v129(constB94, 1)) | (~v100(constB94))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11625, 882, 11397])).
% 49.16/32.09 tff(11627,plain,
% 49.16/32.09 (~v129(constB94, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11626, 11608])).
% 49.16/32.09 tff(11628,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 1)) | v129(constB94, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB93, constB94)) | (~v127(constB93, 1)) | v129(constB94, 1))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11629,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 1)) | v129(constB94, 1))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11630,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB93, constB94)) | (~v127(constB93, 1)) | v129(constB94, 1)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11629, 11628])).
% 49.16/32.09 tff(11631,plain,
% 49.16/32.09 ((~v127(constB93, 1)) | v129(constB94, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11630, 867, 11137])).
% 49.16/32.09 tff(11632,plain,
% 49.16/32.09 (~v127(constB93, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11631, 11627])).
% 49.16/32.09 tff(11633,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB93) | (~v130(constB93, 1)) | v127(constB93, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB93) | (~v130(constB93, 1)) | v127(constB93, 1))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11634,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB93) | (~v130(constB93, 1)) | v127(constB93, 1))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11635,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB93) | (~v130(constB93, 1)) | v127(constB93, 1)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 49.16/32.09 tff(11636,plain,
% 49.16/32.09 ((~v130(constB93, 1)) | v127(constB93, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11635, 852, 11119])).
% 49.16/32.09 tff(11637,plain,
% 49.16/32.09 (~v130(constB93, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11636, 11632])).
% 49.16/32.09 tff(11638,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB93)) | v130(constB93, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB93)) | v130(constB93, 1))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11639,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB93)) | v130(constB93, 1))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11640,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB93)) | v130(constB93, 1)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 49.16/32.09 tff(11641,plain,
% 49.16/32.09 (~v120(constB93)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11640, 838, 11637])).
% 49.16/32.09 tff(11642,plain,
% 49.16/32.09 (v119(constB93) | v120(constB93) | v121(constB93) | v130(constB93, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11439, 2200, 11409, 11405, 11404])).
% 49.16/32.09 tff(11643,plain,
% 49.16/32.09 ($false),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11642, 11641, 11619, 11611, 11615])).
% 49.16/32.09 tff(11644,plain,(v130(constB93, 2) | v90(constB94, 1) | v90(constB94, 0) | v90(constB94, 2)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.09 tff(11645,plain,
% 49.16/32.09 (v130(constB93, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11644, 11399, 11398, 11397])).
% 49.16/32.09 tff(11646,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB93)) | (~v130(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB93)) | (~v130(constB93, 2)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11647,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB93)) | (~v130(constB93, 2)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11648,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB93)) | (~v130(constB93, 2))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 49.16/32.09 tff(11649,plain,
% 49.16/32.09 (~v119(constB93)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11648, 579, 11645])).
% 49.16/32.09 tff(11650,plain,
% 49.16/32.09 (v127(constB93, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11179, 11645])).
% 49.16/32.09 tff(11651,plain,
% 49.16/32.09 (v129(constB94, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11184, 11650])).
% 49.16/32.09 tff(11652,plain,
% 49.16/32.09 ((~v129(constB94, 2)) | (~v100(constB94))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11191, 1358, 11399])).
% 49.16/32.09 tff(11653,plain,
% 49.16/32.09 (~v100(constB94)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11652, 11651])).
% 49.16/32.09 tff(11654,plain,
% 49.16/32.09 (~v90(constB93, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11421, 11653, 11399])).
% 49.16/32.09 tff(11655,plain,
% 49.16/32.09 (~v90(constB93, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11582, 11653, 11397])).
% 49.16/32.09 tff(11656,plain,
% 49.16/32.09 (~v90(constB93, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11552, 11653, 11398])).
% 49.16/32.09 tff(11657,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11658,plain,
% 49.16/32.09 ((v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2)) <=> (v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11659,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93)))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11658])).
% 49.16/32.09 tff(11660,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11659, 11657])).
% 49.16/32.09 tff(11661,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11662,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 49.16/32.09 tff(11663,plain,
% 49.16/32.09 ($false),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11662, 185, 11656, 11655, 11654, 11649])).
% 49.16/32.09 tff(11664,plain,(v90(constB94, 2) | v90(constB94, 1) | v90(constB94, 0)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.09 tff(11665,plain,
% 49.16/32.09 ($false),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11664, 11396, 11383, 11371])).
% 49.16/32.09 tff(11666,plain,(~v119(constB95)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.09 tff(11667,assumption,(~v90(constB95, 2)), introduced(assumption)).
% 49.16/32.09 tff(11668,assumption,(~v121(constB95)), introduced(assumption)).
% 49.16/32.09 tff(11669,assumption,(~v119(constB95)), introduced(assumption)).
% 49.16/32.09 tff(11670,assumption,(~v90(constB95, 0)), introduced(assumption)).
% 49.16/32.09 tff(11671,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11672,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11673,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11672, 11671])).
% 49.16/32.09 tff(11674,plain,
% 49.16/32.09 (v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11673, 990, 11668])).
% 49.16/32.09 tff(11675,plain,
% 49.16/32.09 (~v90(constB95, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11674, 11670, 11667])).
% 49.16/32.09 tff(11676,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11677,plain,
% 49.16/32.09 ((v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2)) <=> (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11678,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95)))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11677])).
% 49.16/32.09 tff(11679,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11678, 11676])).
% 49.16/32.09 tff(11680,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11681,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11680, 11679])).
% 49.16/32.09 tff(11682,plain,
% 49.16/32.09 (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11681, 185, 11669])).
% 49.16/32.09 tff(11683,plain,
% 49.16/32.09 ($false),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11682, 11675, 11670, 11667])).
% 49.16/32.09 tff(11684,plain,(v90(constB95, 0) | v90(constB95, 2) | v119(constB95) | v121(constB95)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.09 tff(11685,plain,
% 49.16/32.09 (v90(constB95, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11684, 11667, 11669, 11668])).
% 49.16/32.09 tff(11686,assumption,(~v122(constB95)), introduced(assumption)).
% 49.16/32.09 tff(11687,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11688,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11689,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11688, 11687])).
% 49.16/32.09 tff(11690,plain,
% 49.16/32.09 ((~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11689, 1225, 11686])).
% 49.16/32.09 tff(11691,plain,
% 49.16/32.09 (~v90(constB95, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11690, 11685, 11667])).
% 49.16/32.09 tff(11692,assumption,(~v120(constB95)), introduced(assumption)).
% 49.16/32.09 tff(11693,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11694,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11695,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11694, 11693])).
% 49.16/32.09 tff(11696,plain,
% 49.16/32.09 ((~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11695, 651, 11692])).
% 49.16/32.09 tff(11697,plain,
% 49.16/32.09 ($false),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11696, 11691, 11685, 11667])).
% 49.16/32.09 tff(11698,plain,(v90(constB95, 2) | v120(constB95) | v122(constB95) | v119(constB95) | v121(constB95)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.09 tff(11699,plain,
% 49.16/32.09 (v90(constB95, 2) | v120(constB95) | v122(constB95) | v121(constB95)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11698, 11666])).
% 49.16/32.09 tff(11700,plain,
% 49.16/32.09 (v90(constB95, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11699, 11358, 11347, 11343])).
% 49.16/32.09 tff(11701,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11702,plain,
% 49.16/32.09 (((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2))) <=> (v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11703,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2))))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11702])).
% 49.16/32.09 tff(11704,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11703, 11701])).
% 49.16/32.09 tff(11705,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11706,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 49.16/32.09 tff(11707,plain,
% 49.16/32.09 (v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11706, 122, 11199])).
% 49.16/32.09 tff(11708,plain,
% 49.16/32.09 (v90(constB94, 2) | (~v90(constB95, 2))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11707, 11211])).
% 49.16/32.09 tff(11709,plain,
% 49.16/32.09 (v90(constB94, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11708, 11700])).
% 49.16/32.09 tff(11710,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB95)) | v115(constB95))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB95)) | v115(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11711,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB95)) | v115(constB95))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11712,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB95)) | v115(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11711, 11710])).
% 49.16/32.09 tff(11713,plain,
% 49.16/32.09 (~v123(constB95)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11712, 1506, 11328])).
% 49.16/32.09 tff(11714,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB95)) | v113(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11715,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB95)) | v113(constB95))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11716,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB95)) | v113(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11715, 11714])).
% 49.16/32.09 tff(11717,plain,
% 49.16/32.09 (~v125(constB95)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11716, 1964, 11317])).
% 49.16/32.09 tff(11718,assumption,(v90(constB95, 2)), introduced(assumption)).
% 49.16/32.09 tff(11719,assumption,(~v125(constB95)), introduced(assumption)).
% 49.16/32.09 tff(11720,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)) | v125(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)) | v125(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11721,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)) | v125(constB95))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11722,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2)) | v125(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 49.16/32.09 tff(11723,plain,
% 49.16/32.09 (v90(constB95, 0) | (~v90(constB95, 1)) | (~v90(constB95, 2))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11722, 1953, 11719])).
% 49.16/32.09 tff(11724,plain,
% 49.16/32.09 (~v90(constB95, 1)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11723, 11670, 11718])).
% 49.16/32.09 tff(11725,assumption,(~v123(constB95)), introduced(assumption)).
% 49.16/32.09 tff(11726,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11727,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11728,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11727, 11726])).
% 49.16/32.09 tff(11729,plain,
% 49.16/32.09 (v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11728, 1495, 11725])).
% 49.16/32.09 tff(11730,plain,
% 49.16/32.09 ($false),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11729, 11724, 11670, 11718])).
% 49.16/32.09 tff(11731,plain,(v90(constB95, 0) | (~v90(constB95, 2)) | v123(constB95) | v125(constB95)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.09 tff(11732,plain,
% 49.16/32.09 (v90(constB95, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11731, 11700, 11717, 11713])).
% 49.16/32.09 tff(11733,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11734,plain,
% 49.16/32.09 (((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0))) <=> (v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11735,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0))))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11734])).
% 49.16/32.09 tff(11736,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11735, 11733])).
% 49.16/32.09 tff(11737,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11738,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 49.16/32.09 tff(11739,plain,
% 49.16/32.09 (v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11738, 164, 11199])).
% 49.16/32.09 tff(11740,plain,
% 49.16/32.09 (v90(constB94, 0) | (~v90(constB95, 0))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11739, 11211])).
% 49.16/32.09 tff(11741,plain,
% 49.16/32.09 (v90(constB94, 0)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11740, 11732])).
% 49.16/32.09 tff(11742,assumption,(v121(constB91)), introduced(assumption)).
% 49.16/32.09 tff(11743,plain,
% 49.16/32.09 (v117(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11470, 1001, 11742])).
% 49.16/32.09 tff(11744,plain,
% 49.16/32.09 (v116(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11457, 224, 11743])).
% 49.16/32.09 tff(11745,plain,
% 49.16/32.09 (v115(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10945, 238, 11744])).
% 49.16/32.09 tff(11746,plain,
% 49.16/32.09 (v114(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10952, 252, 11745])).
% 49.16/32.09 tff(11747,plain,
% 49.16/32.09 (v113(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10956, 266, 11746])).
% 49.16/32.09 tff(11748,plain,
% 49.16/32.09 (v112(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10964, 11747])).
% 49.16/32.09 tff(11749,plain,
% 49.16/32.09 (v108(constB91)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10971, 292, 11748])).
% 49.16/32.09 tff(11750,plain,
% 49.16/32.09 (v110(constB92)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[10979, 11749])).
% 49.16/32.09 tff(11751,plain,
% 49.16/32.09 (v100(constB92)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11005, 11750])).
% 49.16/32.09 tff(11752,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB91)) | (~v130(constB91, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB91)) | (~v130(constB91, 2)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11753,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB91)) | (~v130(constB91, 2)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11754,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB91)) | (~v130(constB91, 2))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 49.16/32.09 tff(11755,plain,
% 49.16/32.09 (~v130(constB91, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11754, 1090, 11742])).
% 49.16/32.09 tff(11756,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11757,plain,
% 49.16/32.09 ((v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2))) <=> ((~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11758,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2)))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11757])).
% 49.16/32.09 tff(11759,plain,
% 49.16/32.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11758, 11756])).
% 49.16/32.09 tff(11760,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11761,plain,
% 49.16/32.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2)),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11760, 11759])).
% 49.16/32.09 tff(11762,plain,
% 49.16/32.09 ((~v127(constB91, 2)) | v130(constB91, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11761, 593, 10875])).
% 49.16/32.09 tff(11763,plain,
% 49.16/32.09 (~v127(constB91, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11762, 11755])).
% 49.16/32.09 tff(11764,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11765,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11766,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 49.16/32.09 tff(11767,plain,
% 49.16/32.09 (v127(constB91, 2) | (~v129(constB92, 2))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11766, 611, 10862])).
% 49.16/32.09 tff(11768,plain,
% 49.16/32.09 (~v129(constB92, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11767, 11763])).
% 49.16/32.09 tff(11769,plain,
% 49.16/32.09 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11770,plain,
% 49.16/32.09 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11771,plain,
% 49.16/32.09 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92))),
% 49.16/32.09 inference(modus_ponens,[status(thm)],[11770, 11769])).
% 49.16/32.09 tff(11772,plain,
% 49.16/32.09 ((~v90(constB92, 2)) | (~v100(constB92))),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11771, 626, 11768])).
% 49.16/32.09 tff(11773,plain,
% 49.16/32.09 (~v90(constB92, 2)),
% 49.16/32.09 inference(unit_resolution,[status(thm)],[11772, 11751])).
% 49.16/32.09 tff(11774,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11775,plain,
% 49.16/32.09 (((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2))) <=> (v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))),
% 49.16/32.09 inference(rewrite,[status(thm)],[])).
% 49.16/32.09 tff(11776,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2))))),
% 49.16/32.09 inference(monotonicity,[status(thm)],[11775])).
% 49.16/32.09 tff(11777,plain,
% 49.16/32.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))),
% 49.16/32.09 inference(transitivity,[status(thm)],[11776, 11774])).
% 49.16/32.09 tff(11778,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2)))),
% 49.16/32.09 inference(quant_inst,[status(thm)],[])).
% 49.16/32.09 tff(11779,plain,
% 49.16/32.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 49.16/32.10 tff(11780,plain,
% 49.16/32.10 (v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11779, 122, 11034])).
% 49.16/32.10 tff(11781,plain,
% 49.16/32.10 (v90(constB92, 2) | (~v90(constB93, 2))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11780, 11046])).
% 49.16/32.10 tff(11782,plain,
% 49.16/32.10 (~v90(constB93, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11781, 11773])).
% 49.16/32.10 tff(11783,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB91)) | v130(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB91)) | v130(constB91, 1))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11784,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB91)) | v130(constB91, 1))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11785,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB91)) | v130(constB91, 1)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11784, 11783])).
% 49.16/32.10 tff(11786,plain,
% 49.16/32.10 (v130(constB91, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11785, 1146, 11742])).
% 49.16/32.10 tff(11787,plain,
% 49.16/32.10 (v127(constB91, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10898, 11786])).
% 49.16/32.10 tff(11788,plain,
% 49.16/32.10 (v129(constB92, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10893, 11787])).
% 49.16/32.10 tff(11789,plain,
% 49.16/32.10 (v90(constB92, 1) | (~v100(constB92))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11598, 882, 11788])).
% 49.16/32.10 tff(11790,plain,
% 49.16/32.10 (v90(constB92, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11789, 11751])).
% 49.16/32.10 tff(11791,plain,
% 49.16/32.10 (v90(constB93, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11591, 11790])).
% 49.16/32.10 tff(11792,plain,
% 49.16/32.10 (v130(constB91, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10917, 1184, 11742])).
% 49.16/32.10 tff(11793,plain,
% 49.16/32.10 (v127(constB91, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10913, 11792])).
% 49.16/32.10 tff(11794,plain,
% 49.16/32.10 (v129(constB92, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10908, 11793])).
% 49.16/32.10 tff(11795,plain,
% 49.16/32.10 (v90(constB92, 0) | (~v100(constB92))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11569, 545, 11794])).
% 49.16/32.10 tff(11796,plain,
% 49.16/32.10 (v90(constB92, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11795, 11751])).
% 49.16/32.10 tff(11797,plain,
% 49.16/32.10 (v90(constB93, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11561, 11796])).
% 49.16/32.10 tff(11798,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11799,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11800,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 49.16/32.10 tff(11801,plain,
% 49.16/32.10 (v122(constB93)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11800, 1225, 11797, 11791, 11782])).
% 49.16/32.10 tff(11802,assumption,(v90(constB94, 2)), introduced(assumption)).
% 49.16/32.10 tff(11803,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11804,plain,
% 49.16/32.10 (((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2))) <=> (v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11805,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2))))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11804])).
% 49.16/32.10 tff(11806,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11805, 11803])).
% 49.16/32.10 tff(11807,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11808,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 49.16/32.10 tff(11809,plain,
% 49.16/32.10 (v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11808, 122, 11137])).
% 49.16/32.10 tff(11810,plain,
% 49.16/32.10 (v100(constB94)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11809, 11782, 11802])).
% 49.16/32.10 tff(11811,assumption,(v90(constB94, 0)), introduced(assumption)).
% 49.16/32.10 tff(11812,plain,
% 49.16/32.10 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11813,plain,
% 49.16/32.10 (((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0)) <=> ((~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11814,plain,
% 49.16/32.10 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94))))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11813])).
% 49.16/32.10 tff(11815,plain,
% 49.16/32.10 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11814, 11812])).
% 49.16/32.10 tff(11816,plain,
% 49.16/32.10 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11817,plain,
% 49.16/32.10 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 49.16/32.10 tff(11818,plain,
% 49.16/32.10 (v129(constB94, 0) | (~v100(constB94))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11817, 963, 11811])).
% 49.16/32.10 tff(11819,plain,
% 49.16/32.10 (v129(constB94, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11818, 11810])).
% 49.16/32.10 tff(11820,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11821,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11822,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11821, 11820])).
% 49.16/32.10 tff(11823,plain,
% 49.16/32.10 (v127(constB93, 0) | (~v129(constB94, 0))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11822, 948, 11137])).
% 49.16/32.10 tff(11824,plain,
% 49.16/32.10 (v127(constB93, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11823, 11819])).
% 49.16/32.10 tff(11825,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11826,plain,
% 49.16/32.10 ((v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0))) <=> ((~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11827,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0)))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11826])).
% 49.16/32.10 tff(11828,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11827, 11825])).
% 49.16/32.10 tff(11829,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11830,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 49.16/32.10 tff(11831,plain,
% 49.16/32.10 ((~v127(constB93, 0)) | v130(constB93, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11830, 930, 11119])).
% 49.16/32.10 tff(11832,plain,
% 49.16/32.10 (v130(constB93, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11831, 11824])).
% 49.16/32.10 tff(11833,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB93)) | (~v130(constB93, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB93)) | (~v130(constB93, 0)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11834,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB93)) | (~v130(constB93, 0)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11835,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB93)) | (~v130(constB93, 0))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 49.16/32.10 tff(11836,plain,
% 49.16/32.10 ($false),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11835, 1451, 11832, 11801])).
% 49.16/32.10 tff(11837,plain,((~v121(constB91)) | (~v90(constB94, 0)) | (~v90(constB94, 2))), inference(lemma,lemma(discharge,[]))).
% 49.16/32.10 tff(11838,plain,
% 49.16/32.10 (~v121(constB91)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11837, 11741, 11709])).
% 49.16/32.10 tff(11839,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11840,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11841,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11840, 11839])).
% 49.16/32.10 tff(11842,plain,
% 49.16/32.10 (~v124(constB95)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11841, 1775, 11324])).
% 49.16/32.10 tff(11843,plain,
% 49.16/32.10 ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11288, 1718, 11842])).
% 49.16/32.10 tff(11844,plain,
% 49.16/32.10 (v90(constB95, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11843, 11732, 11700])).
% 49.16/32.10 tff(11845,plain,
% 49.16/32.10 (v90(constB94, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11253, 11844])).
% 49.16/32.10 tff(11846,assumption,(v100(constB94)), introduced(assumption)).
% 49.16/32.10 tff(11847,plain,
% 49.16/32.10 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11848,plain,
% 49.16/32.10 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11849,plain,
% 49.16/32.10 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 49.16/32.10 tff(11850,plain,
% 49.16/32.10 (v129(constB94, 2) | (~v100(constB94))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11849, 626, 11802])).
% 49.16/32.10 tff(11851,plain,
% 49.16/32.10 (v129(constB94, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11850, 11846])).
% 49.16/32.10 tff(11852,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11853,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11854,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 49.16/32.10 tff(11855,plain,
% 49.16/32.10 (v127(constB93, 2) | (~v129(constB94, 2))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11854, 611, 11137])).
% 49.16/32.10 tff(11856,plain,
% 49.16/32.10 (v127(constB93, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11855, 11851])).
% 49.16/32.10 tff(11857,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11858,plain,
% 49.16/32.10 ((v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2))) <=> ((~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11859,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2)))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11858])).
% 49.16/32.10 tff(11860,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11859, 11857])).
% 49.16/32.10 tff(11861,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11862,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11861, 11860])).
% 49.16/32.10 tff(11863,plain,
% 49.16/32.10 ((~v127(constB93, 2)) | v130(constB93, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11862, 593, 11119])).
% 49.16/32.10 tff(11864,plain,
% 49.16/32.10 (v130(constB93, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11863, 11856])).
% 49.16/32.10 tff(11865,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB93)) | (~v130(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB93)) | (~v130(constB93, 2)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11866,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB93)) | (~v130(constB93, 2)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11867,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB93)) | (~v130(constB93, 2))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 49.16/32.10 tff(11868,plain,
% 49.16/32.10 (~v121(constB93)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11867, 1090, 11864])).
% 49.16/32.10 tff(11869,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB93)) | (~v130(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB93)) | (~v130(constB93, 2)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11870,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB93)) | (~v130(constB93, 2)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11871,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB93)) | (~v130(constB93, 2))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 49.16/32.10 tff(11872,plain,
% 49.16/32.10 (~v120(constB93)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11871, 767, 11864])).
% 49.16/32.10 tff(11873,plain,
% 49.16/32.10 (~v119(constB93)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11648, 579, 11864])).
% 49.16/32.10 tff(11874,plain,
% 49.16/32.10 (v129(constB94, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11818, 11846])).
% 49.16/32.10 tff(11875,plain,
% 49.16/32.10 (v127(constB93, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11823, 11874])).
% 49.16/32.10 tff(11876,plain,
% 49.16/32.10 (v130(constB93, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11831, 11875])).
% 49.16/32.10 tff(11877,plain,
% 49.16/32.10 (~v122(constB93)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11835, 1451, 11876])).
% 49.16/32.10 tff(11878,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB93)) | (~v130(constB93, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB93)) | (~v130(constB93, 0)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11879,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB93)) | (~v130(constB93, 0)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11880,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB93)) | (~v130(constB93, 0))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11879, 11878])).
% 49.16/32.10 tff(11881,plain,
% 49.16/32.10 (~v124(constB93)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11880, 1909, 11876])).
% 49.16/32.10 tff(11882,assumption,(v90(constB94, 1)), introduced(assumption)).
% 49.16/32.10 tff(11883,plain,
% 49.16/32.10 (v129(constB94, 1) | (~v100(constB94))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11243, 453, 11882])).
% 49.16/32.10 tff(11884,plain,
% 49.16/32.10 (v129(constB94, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11883, 11846])).
% 49.16/32.10 tff(11885,plain,
% 49.16/32.10 (v127(constB93, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11236, 11884])).
% 49.16/32.10 tff(11886,plain,
% 49.16/32.10 (v130(constB93, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11231, 11885])).
% 49.16/32.10 tff(11887,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11888,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11889,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 49.16/32.10 tff(11890,plain,
% 49.16/32.10 (v123(constB93)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11889, 2156, 11886, 11881, 11877, 11873, 11872, 11868])).
% 49.16/32.10 tff(11891,plain,
% 49.16/32.10 ($false),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11223, 1636, 11886, 11890])).
% 49.16/32.10 tff(11892,plain,((~v100(constB94)) | (~v90(constB94, 1)) | (~v90(constB94, 0)) | (~v90(constB94, 2))), inference(lemma,lemma(discharge,[]))).
% 49.16/32.10 tff(11893,plain,
% 49.16/32.10 (~v100(constB94)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11892, 11845, 11741, 11709])).
% 49.16/32.10 tff(11894,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11895,plain,
% 49.16/32.10 (((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0))) <=> (v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11896,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0))))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11895])).
% 49.16/32.10 tff(11897,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11896, 11894])).
% 49.16/32.10 tff(11898,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0)))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11899,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 49.16/32.10 tff(11900,plain,
% 49.16/32.10 (v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0))),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11899, 164, 11137])).
% 49.16/32.10 tff(11901,plain,
% 49.16/32.10 (v90(constB93, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11900, 11893, 11741])).
% 49.16/32.10 tff(11902,plain,
% 49.16/32.10 (v90(constB92, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11088, 11901])).
% 49.16/32.10 tff(11903,plain,
% 49.16/32.10 (v90(constB93, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11809, 11893, 11709])).
% 49.16/32.10 tff(11904,plain,
% 49.16/32.10 (v90(constB92, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11781, 11903])).
% 49.16/32.10 tff(11905,assumption,(~v90(constB91, 0)), introduced(assumption)).
% 49.16/32.10 tff(11906,plain,
% 49.16/32.10 (~v90(constB90, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10766, 11905])).
% 49.16/32.10 tff(11907,assumption,(~v100(constB90)), introduced(assumption)).
% 49.16/32.10 tff(11908,plain,
% 49.16/32.10 (~v110(constB90)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10668, 11907])).
% 49.16/32.10 tff(11909,plain,
% 49.16/32.10 (~v108(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10642, 11908])).
% 49.16/32.10 tff(11910,plain,
% 49.16/32.10 (~v112(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10631, 292, 11909])).
% 49.16/32.10 tff(11911,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11912,plain,
% 49.16/32.10 (((~v26(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v26(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11913,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89))))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11912])).
% 49.16/32.10 tff(11914,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11913, 11911])).
% 49.16/32.10 tff(11915,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11916,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11915, 11914])).
% 49.16/32.10 tff(11917,plain,
% 49.16/32.10 (~v26(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11916, 1761, 11909])).
% 49.16/32.10 tff(11918,plain,
% 49.16/32.10 (~v113(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10623, 280, 11917, 11910])).
% 49.16/32.10 tff(11919,plain,
% 49.16/32.10 (~v114(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10612, 266, 11918])).
% 49.16/32.10 tff(11920,plain,
% 49.16/32.10 (~v115(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10605, 252, 11919])).
% 49.16/32.10 tff(11921,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB89)) | v115(constB89))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11922,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB89)) | v115(constB89))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11923,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB89)) | v115(constB89)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11922, 11921])).
% 49.16/32.10 tff(11924,plain,
% 49.16/32.10 (~v123(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11923, 1506, 11920])).
% 49.16/32.10 tff(11925,plain,
% 49.16/32.10 (~v116(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10601, 238, 11920])).
% 49.16/32.10 tff(11926,plain,
% 49.16/32.10 (~v117(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10594, 224, 11925])).
% 49.16/32.10 tff(11927,plain,
% 49.16/32.10 (~v121(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10587, 1001, 11926])).
% 49.16/32.10 tff(11928,assumption,(~v90(constB90, 0)), introduced(assumption)).
% 49.16/32.10 tff(11929,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11930,plain,
% 49.16/32.10 (((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0)) <=> ((~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11931,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0)))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11930])).
% 49.16/32.10 tff(11932,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11931, 11929])).
% 49.16/32.10 tff(11933,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11934,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 49.16/32.10 tff(11935,plain,
% 49.16/32.10 ((~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11934, 563, 10635])).
% 49.16/32.10 tff(11936,plain,
% 49.16/32.10 (~v90(constB89, 0)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11935, 11907, 11928])).
% 49.16/32.10 tff(11937,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v118(constB89)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v118(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11938,plain,
% 49.16/32.10 (((~v118(constB89)) | v117(constB89)) <=> (v117(constB89) | (~v118(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11939,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v118(constB89))))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11938])).
% 49.16/32.10 tff(11940,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v118(constB89)))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11939, 11937])).
% 49.16/32.10 tff(11941,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB89)) | v117(constB89))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11942,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v118(constB89))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 49.16/32.10 tff(11943,plain,
% 49.16/32.10 (~v118(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11942, 210, 11926])).
% 49.16/32.10 tff(11944,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB89) | (~v119(constB89)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB89) | (~v119(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11945,plain,
% 49.16/32.10 (((~v119(constB89)) | v118(constB89)) <=> (v118(constB89) | (~v119(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11946,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB89)) | v118(constB89))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB89) | (~v119(constB89))))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11945])).
% 49.16/32.10 tff(11947,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB89)) | v118(constB89))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB89) | (~v119(constB89)))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11946, 11944])).
% 49.16/32.10 tff(11948,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB89)) | v118(constB89))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11949,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB89) | (~v119(constB89))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11948, 11947])).
% 49.16/32.10 tff(11950,plain,
% 49.16/32.10 (~v119(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11949, 199, 11943])).
% 49.16/32.10 tff(11951,plain,
% 49.16/32.10 (v90(constB89, 2)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10693, 11950, 11936, 11927])).
% 49.16/32.10 tff(11952,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v125(constB89)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v125(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11953,plain,
% 49.16/32.10 (((~v125(constB89)) | v113(constB89)) <=> (v113(constB89) | (~v125(constB89)))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11954,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v125(constB89))))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11953])).
% 49.16/32.10 tff(11955,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v125(constB89)))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11954, 11952])).
% 49.16/32.10 tff(11956,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB89)) | v113(constB89))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11957,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v125(constB89))),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11956, 11955])).
% 49.16/32.10 tff(11958,plain,
% 49.16/32.10 (~v125(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11957, 1964, 11918])).
% 49.16/32.10 tff(11959,plain,
% 49.16/32.10 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11960,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89))),
% 49.16/32.10 inference(quant_inst,[status(thm)],[])).
% 49.16/32.10 tff(11961,plain,
% 49.16/32.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89)),
% 49.16/32.10 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 49.16/32.10 tff(11962,plain,
% 49.16/32.10 ((~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11961, 1953, 11936])).
% 49.16/32.10 tff(11963,plain,
% 49.16/32.10 (~v90(constB89, 1)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11962, 11951, 11958])).
% 49.16/32.10 tff(11964,plain,
% 49.16/32.10 (v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[10701, 1495, 11936])).
% 49.16/32.10 tff(11965,plain,
% 49.16/32.10 ($false),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11964, 11963, 11951, 11924])).
% 49.16/32.10 tff(11966,plain,(v100(constB90) | v90(constB90, 0)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.10 tff(11967,plain,
% 49.16/32.10 (v100(constB90)),
% 49.16/32.10 inference(unit_resolution,[status(thm)],[11966, 11906])).
% 49.16/32.10 tff(11968,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB90, 2)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB90, 2)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 2))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11969,plain,
% 49.16/32.10 (((~nextState(constB90, constB91)) | (~v90(constB90, 2)) | v100(constB91) | v90(constB91, 2)) <=> ((~v90(constB90, 2)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 2))),
% 49.16/32.10 inference(rewrite,[status(thm)],[])).
% 49.16/32.10 tff(11970,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 2)) | v100(constB91) | v90(constB91, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB90, 2)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 2)))),
% 49.16/32.10 inference(monotonicity,[status(thm)],[11969])).
% 49.16/32.10 tff(11971,plain,
% 49.16/32.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 2)) | v100(constB91) | v90(constB91, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB90, 2)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 2))),
% 49.16/32.10 inference(transitivity,[status(thm)],[11970, 11968])).
% 49.16/32.10 tff(11972,plain,
% 49.16/32.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 2)) | v100(constB91) | v90(constB91, 2))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(11973,plain,
% 49.16/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB90, 2)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 2)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[11972, 11971])).
% 49.16/32.11 tff(11974,plain,
% 49.16/32.11 ((~v90(constB90, 2)) | v100(constB91) | v90(constB91, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11973, 1394, 10746])).
% 49.16/32.11 tff(11975,plain,
% 49.16/32.11 ((~v90(constB90, 2)) | v90(constB91, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11974, 10758])).
% 49.16/32.11 tff(11976,plain,
% 49.16/32.11 (~v90(constB90, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11975, 11501])).
% 49.16/32.11 tff(11977,plain,
% 49.16/32.11 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB90, 2) | (~v129(constB90, 2)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB90, 2) | (~v129(constB90, 2)) | (~v100(constB90)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(11978,plain,
% 49.16/32.11 ((v90(constB90, 2) | (~v100(constB90)) | (~v129(constB90, 2))) <=> (v90(constB90, 2) | (~v129(constB90, 2)) | (~v100(constB90)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(11979,plain,
% 49.16/32.11 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB90, 2) | (~v100(constB90)) | (~v129(constB90, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB90, 2) | (~v129(constB90, 2)) | (~v100(constB90))))),
% 49.16/32.11 inference(monotonicity,[status(thm)],[11978])).
% 49.16/32.11 tff(11980,plain,
% 49.16/32.11 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB90, 2) | (~v100(constB90)) | (~v129(constB90, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB90, 2) | (~v129(constB90, 2)) | (~v100(constB90)))),
% 49.16/32.11 inference(transitivity,[status(thm)],[11979, 11977])).
% 49.16/32.11 tff(11981,plain,
% 49.16/32.11 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB90, 2) | (~v100(constB90)) | (~v129(constB90, 2)))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(11982,plain,
% 49.16/32.11 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB90, 2) | (~v129(constB90, 2)) | (~v100(constB90))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 49.16/32.11 tff(11983,plain,
% 49.16/32.11 ((~v129(constB90, 2)) | (~v100(constB90))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11982, 1358, 11976])).
% 49.16/32.11 tff(11984,plain,
% 49.16/32.11 (~v129(constB90, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11983, 11967])).
% 49.16/32.11 tff(11985,plain,
% 49.16/32.11 (~v129(constB90, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10738, 545, 11967, 11906])).
% 49.16/32.11 tff(11986,plain,
% 49.16/32.11 (v90(constB91, 0) | (~v90(constB91, 1))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11519, 990, 11501, 10932])).
% 49.16/32.11 tff(11987,plain,
% 49.16/32.11 (~v90(constB91, 1)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11986, 11905])).
% 49.16/32.11 tff(11988,plain,
% 49.16/32.11 (~v90(constB90, 1)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10797, 11987])).
% 49.16/32.11 tff(11989,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB90)) | v90(constB90, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB90)) | v90(constB90, 1))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(11990,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB90)) | v90(constB90, 1))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(11991,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB90)) | v90(constB90, 1)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[11990, 11989])).
% 49.16/32.11 tff(11992,plain,
% 49.16/32.11 (~v121(constB90)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11991, 3912, 11988])).
% 49.16/32.11 tff(11993,assumption,(~v129(constB90, 0)), introduced(assumption)).
% 49.16/32.11 tff(11994,plain,
% 49.16/32.11 (~v127(constB89, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10731, 11993])).
% 49.16/32.11 tff(11995,assumption,(~v26(constB89)), introduced(assumption)).
% 49.16/32.11 tff(11996,plain,
% 49.16/32.11 ((~v130(constB89, 0)) | v127(constB89, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10725, 515, 11995])).
% 49.16/32.11 tff(11997,plain,
% 49.16/32.11 (~v130(constB89, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11996, 11994])).
% 49.16/32.11 tff(11998,plain,
% 49.16/32.11 (~v121(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10677, 1184, 11997])).
% 49.16/32.11 tff(11999,plain,
% 49.16/32.11 (~v119(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10673, 501, 11997])).
% 49.16/32.11 tff(12000,assumption,(~v129(constB90, 2)), introduced(assumption)).
% 49.16/32.11 tff(12001,plain,
% 49.16/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 2)) | v129(constB90, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB89, constB90)) | (~v127(constB89, 2)) | v129(constB90, 2))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12002,plain,
% 49.16/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 2)) | v129(constB90, 2))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12003,plain,
% 49.16/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB89, constB90)) | (~v127(constB89, 2)) | v129(constB90, 2)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 49.16/32.11 tff(12004,plain,
% 49.16/32.11 ((~v127(constB89, 2)) | v129(constB90, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12003, 1343, 10635])).
% 49.16/32.11 tff(12005,plain,
% 49.16/32.11 (~v127(constB89, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12004, 12000])).
% 49.16/32.11 tff(12006,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB89) | (~v130(constB89, 2)) | v127(constB89, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB89) | (~v130(constB89, 2)) | v127(constB89, 2))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12007,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB89) | (~v130(constB89, 2)) | v127(constB89, 2))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12008,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB89) | (~v130(constB89, 2)) | v127(constB89, 2)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 49.16/32.11 tff(12009,plain,
% 49.16/32.11 ((~v130(constB89, 2)) | v127(constB89, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12008, 1328, 11995])).
% 49.16/32.11 tff(12010,plain,
% 49.16/32.11 (~v130(constB89, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12009, 12005])).
% 49.16/32.11 tff(12011,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB89)) | v130(constB89, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB89)) | v130(constB89, 2))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12012,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB89)) | v130(constB89, 2))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12013,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB89)) | v130(constB89, 2)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12012, 12011])).
% 49.16/32.11 tff(12014,plain,
% 49.16/32.11 (~v122(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12013, 1314, 12010])).
% 49.16/32.11 tff(12015,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB89)) | v130(constB89, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB89)) | v130(constB89, 2))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12016,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB89)) | v130(constB89, 2))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12017,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB89)) | v130(constB89, 2)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 49.16/32.11 tff(12018,plain,
% 49.16/32.11 (~v123(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12017, 1580, 12010])).
% 49.16/32.11 tff(12019,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB89)) | v130(constB89, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB89)) | v130(constB89, 2))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12020,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB89)) | v130(constB89, 2))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12021,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB89)) | v130(constB89, 2)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 49.16/32.11 tff(12022,plain,
% 49.16/32.11 (~v124(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12021, 1729, 12010])).
% 49.16/32.11 tff(12023,plain,
% 49.16/32.11 (v119(constB89) | v120(constB89) | v121(constB89) | v130(constB89, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10718, 2200, 12022, 12018, 12014])).
% 49.16/32.11 tff(12024,plain,
% 49.16/32.11 (v120(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12023, 11999, 11997, 11998])).
% 49.16/32.11 tff(12025,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB89)) | v118(constB89))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB89)) | v118(constB89))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12026,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB89)) | v118(constB89))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12027,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB89)) | v118(constB89)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12026, 12025])).
% 49.16/32.11 tff(12028,plain,
% 49.16/32.11 (v118(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12027, 665, 12024])).
% 49.16/32.11 tff(12029,plain,
% 49.16/32.11 (v117(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11942, 210, 12028])).
% 49.16/32.11 tff(12030,plain,
% 49.16/32.11 (v116(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10594, 224, 12029])).
% 49.16/32.11 tff(12031,plain,
% 49.16/32.11 (v115(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10601, 238, 12030])).
% 49.16/32.11 tff(12032,plain,
% 49.16/32.11 (v114(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10605, 252, 12031])).
% 49.16/32.11 tff(12033,plain,
% 49.16/32.11 (v113(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10612, 266, 12032])).
% 49.16/32.11 tff(12034,plain,
% 49.16/32.11 (v112(constB89) | (~v113(constB89))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10623, 280, 11995])).
% 49.16/32.11 tff(12035,plain,
% 49.16/32.11 (v112(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12034, 12033])).
% 49.16/32.11 tff(12036,plain,
% 49.16/32.11 (v108(constB89)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10631, 292, 12035])).
% 49.16/32.11 tff(12037,plain,
% 49.16/32.11 (v110(constB90)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10642, 12036])).
% 49.16/32.11 tff(12038,plain,
% 49.16/32.11 (v100(constB90)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10668, 12037])).
% 49.16/32.11 tff(12039,plain,
% 49.16/32.11 ((~v90(constB90, 2)) | (~v100(constB90))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10818, 626, 12000])).
% 49.16/32.11 tff(12040,plain,
% 49.16/32.11 (~v90(constB90, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12039, 12038])).
% 49.16/32.11 tff(12041,plain,
% 49.16/32.11 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12042,plain,
% 49.16/32.11 (((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0)) <=> ((~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12043,plain,
% 49.16/32.11 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90))))),
% 49.16/32.11 inference(monotonicity,[status(thm)],[12042])).
% 49.16/32.11 tff(12044,plain,
% 49.16/32.11 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))),
% 49.16/32.11 inference(transitivity,[status(thm)],[12043, 12041])).
% 49.16/32.11 tff(12045,plain,
% 49.16/32.11 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12046,plain,
% 49.16/32.11 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12045, 12044])).
% 49.16/32.11 tff(12047,plain,
% 49.16/32.11 ((~v90(constB90, 0)) | (~v100(constB90))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12046, 963, 11993])).
% 49.16/32.11 tff(12048,plain,
% 49.16/32.11 (~v90(constB90, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12047, 12038])).
% 49.16/32.11 tff(12049,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB89)) | v130(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB89)) | v130(constB89, 1))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12050,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB89)) | v130(constB89, 1))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12051,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB89)) | v130(constB89, 1)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12050, 12049])).
% 49.16/32.11 tff(12052,plain,
% 49.16/32.11 (v130(constB89, 1)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12051, 838, 12024])).
% 49.16/32.11 tff(12053,plain,
% 49.16/32.11 ((~v130(constB89, 1)) | v127(constB89, 1)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10774, 852, 11995])).
% 49.16/32.11 tff(12054,plain,
% 49.16/32.11 (v127(constB89, 1)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12053, 12052])).
% 49.16/32.11 tff(12055,plain,
% 49.16/32.11 (v129(constB90, 1)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10780, 12054])).
% 49.16/32.11 tff(12056,plain,
% 49.16/32.11 (v90(constB90, 1) | (~v100(constB90))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10787, 882, 12055])).
% 49.16/32.11 tff(12057,plain,
% 49.16/32.11 (v90(constB90, 1)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12056, 12038])).
% 49.16/32.11 tff(12058,assumption,(~v121(constB90)), introduced(assumption)).
% 49.16/32.11 tff(12059,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB90, 0) | (~v90(constB90, 1)) | v90(constB90, 2) | v121(constB90))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB90, 0) | (~v90(constB90, 1)) | v90(constB90, 2) | v121(constB90))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12060,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB90, 0) | (~v90(constB90, 1)) | v90(constB90, 2) | v121(constB90))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12061,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB90, 0) | (~v90(constB90, 1)) | v90(constB90, 2) | v121(constB90)),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12060, 12059])).
% 49.16/32.11 tff(12062,plain,
% 49.16/32.11 (v90(constB90, 0) | (~v90(constB90, 1)) | v90(constB90, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12061, 990, 12058])).
% 49.16/32.11 tff(12063,plain,
% 49.16/32.11 ($false),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12062, 12057, 12048, 12040])).
% 49.16/32.11 tff(12064,plain,(v129(constB90, 0) | v121(constB90) | v129(constB90, 2) | v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.11 tff(12065,plain,
% 49.16/32.11 (v129(constB90, 0) | v121(constB90) | v129(constB90, 2)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12064, 10617])).
% 49.16/32.11 tff(12066,plain,
% 49.16/32.11 ($false),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12065, 11992, 11985, 11984])).
% 49.16/32.11 tff(12067,plain,(v90(constB91, 0) | v90(constB91, 2) | v121(constB91)), inference(lemma,lemma(discharge,[]))).
% 49.16/32.11 tff(12068,plain,
% 49.16/32.11 (v90(constB91, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12067, 11501, 10932])).
% 49.16/32.11 tff(12069,plain,
% 49.16/32.11 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 0))))),
% 49.16/32.11 inference(bind,[status(th)],[])).
% 49.16/32.11 tff(12070,plain,
% 49.16/32.11 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.16/32.11 inference(quant_intro,[status(thm)],[12069])).
% 49.16/32.11 tff(12071,plain,
% 49.16/32.11 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12072,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 49.16/32.11 tff(12073,plain,
% 49.16/32.11 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12072, 12071])).
% 49.16/32.11 tff(12074,plain,(
% 49.16/32.11 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.16/32.11 inference(skolemize,[status(sab)],[12073])).
% 49.16/32.11 tff(12075,plain,
% 49.16/32.11 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12074, 12070])).
% 49.16/32.11 tff(12076,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB91)) | (~v90(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB91)) | (~v90(constB91, 0)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12077,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB91)) | (~v90(constB91, 0)))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12078,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB91)) | (~v90(constB91, 0))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12077, 12076])).
% 49.16/32.11 tff(12079,plain,
% 49.16/32.11 (~v123(constB91)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12078, 12075, 12068])).
% 49.16/32.11 tff(12080,assumption,(v90(constB92, 2)), introduced(assumption)).
% 49.16/32.11 tff(12081,plain,
% 49.16/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12082,plain,
% 49.16/32.11 (((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2))) <=> (v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12083,plain,
% 49.16/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2))))),
% 49.16/32.11 inference(monotonicity,[status(thm)],[12082])).
% 49.16/32.11 tff(12084,plain,
% 49.16/32.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))),
% 49.16/32.11 inference(transitivity,[status(thm)],[12083, 12081])).
% 49.16/32.11 tff(12085,plain,
% 49.16/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2)))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12086,plain,
% 49.16/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12085, 12084])).
% 49.16/32.11 tff(12087,plain,
% 49.16/32.11 (v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12086, 122, 10862])).
% 49.16/32.11 tff(12088,plain,
% 49.16/32.11 (v100(constB92)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12087, 11501, 12080])).
% 49.16/32.11 tff(12089,assumption,(v90(constB92, 0)), introduced(assumption)).
% 49.16/32.11 tff(12090,plain,
% 49.16/32.11 (v129(constB92, 0) | (~v100(constB92))),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[11078, 963, 12089])).
% 49.16/32.11 tff(12091,plain,
% 49.16/32.11 (v129(constB92, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12090, 12088])).
% 49.16/32.11 tff(12092,plain,
% 49.16/32.11 (v127(constB91, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10866, 12091])).
% 49.16/32.11 tff(12093,plain,
% 49.16/32.11 (v130(constB91, 0)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10858, 12092])).
% 49.16/32.11 tff(12094,plain,
% 49.16/32.11 (~v122(constB91)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[10842, 1451, 12093])).
% 49.16/32.11 tff(12095,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB91)) | (~v90(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB91)) | (~v90(constB91, 0)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12096,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB91)) | (~v90(constB91, 0)))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12097,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB91)) | (~v90(constB91, 0))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 49.16/32.11 tff(12098,plain,
% 49.16/32.11 (~v119(constB91)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12097, 11366, 12068])).
% 49.16/32.11 tff(12099,plain,
% 49.16/32.11 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB91)) | (~v130(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB91)) | (~v130(constB91, 0)))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12100,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB91)) | (~v130(constB91, 0)))),
% 49.16/32.11 inference(quant_inst,[status(thm)],[])).
% 49.16/32.11 tff(12101,plain,
% 49.16/32.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB91)) | (~v130(constB91, 0))),
% 49.16/32.11 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 49.16/32.11 tff(12102,plain,
% 49.16/32.11 (~v120(constB91)),
% 49.16/32.11 inference(unit_resolution,[status(thm)],[12101, 916, 12093])).
% 49.16/32.11 tff(12103,plain,
% 49.16/32.11 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ((~v124(VarCurr)) | v90(VarCurr, 2)))),
% 49.16/32.11 inference(bind,[status(th)],[])).
% 49.16/32.11 tff(12104,plain,
% 49.16/32.11 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 49.16/32.11 inference(quant_intro,[status(thm)],[12103])).
% 49.16/32.11 tff(12105,plain,
% 49.16/32.11 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 49.16/32.11 inference(rewrite,[status(thm)],[])).
% 49.16/32.11 tff(12106,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 49.19/32.11 tff(12107,plain,
% 49.19/32.11 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12106, 12105])).
% 49.19/32.11 tff(12108,plain,(
% 49.19/32.11 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 49.19/32.11 inference(skolemize,[status(sab)],[12107])).
% 49.19/32.11 tff(12109,plain,
% 49.19/32.11 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12108, 12104])).
% 49.19/32.11 tff(12110,plain,
% 49.19/32.11 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB91)) | v90(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB91)) | v90(constB91, 2))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12111,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB91)) | v90(constB91, 2))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12112,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB91)) | v90(constB91, 2)),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 49.19/32.11 tff(12113,plain,
% 49.19/32.11 (~v124(constB91)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12112, 12109, 11501])).
% 49.19/32.11 tff(12114,plain,
% 49.19/32.11 (v129(constB92, 2) | (~v100(constB92))),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[11771, 626, 12080])).
% 49.19/32.11 tff(12115,plain,
% 49.19/32.11 (v129(constB92, 2)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12114, 12088])).
% 49.19/32.11 tff(12116,plain,
% 49.19/32.11 (v127(constB91, 2)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[11767, 12115])).
% 49.19/32.11 tff(12117,plain,
% 49.19/32.11 (v130(constB91, 2)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[11762, 12116])).
% 49.19/32.11 tff(12118,plain,
% 49.19/32.11 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 2)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12119,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 2)))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12120,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 2))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 49.19/32.11 tff(12121,plain,
% 49.19/32.11 ($false),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12120, 2097, 12117, 12113, 10932, 12102, 12098, 12094, 12079])).
% 49.19/32.11 tff(12122,plain,(v90(constB91, 2) | v121(constB91) | (~v90(constB92, 2)) | (~v90(constB92, 0))), inference(lemma,lemma(discharge,[]))).
% 49.19/32.11 tff(12123,plain,
% 49.19/32.11 ($false),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12122, 11904, 11902, 11501, 11838])).
% 49.19/32.11 tff(12124,plain,(v113(constB95) | v90(constB91, 2)), inference(lemma,lemma(discharge,[]))).
% 49.19/32.11 tff(12125,plain,
% 49.19/32.11 (v113(constB95)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12124, 11316])).
% 49.19/32.11 tff(12126,plain,
% 49.19/32.11 (((~![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) | (~v113(constB95)) | v112(constB95))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12127,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12128,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | (~v113(constB95)) | v112(constB95)),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12127, 12126])).
% 49.19/32.11 tff(12129,plain,
% 49.19/32.11 ((~v113(constB95)) | v112(constB95)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12128, 280, 11297])).
% 49.19/32.11 tff(12130,plain,
% 49.19/32.11 (v112(constB95)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12129, 12125])).
% 49.19/32.11 tff(12131,plain,
% 49.19/32.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12132,plain,
% 49.19/32.11 (((~v112(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v112(constB95)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12133,plain,
% 49.19/32.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95))))),
% 49.19/32.11 inference(monotonicity,[status(thm)],[12132])).
% 49.19/32.11 tff(12134,plain,
% 49.19/32.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 49.19/32.11 inference(transitivity,[status(thm)],[12133, 12131])).
% 49.19/32.11 tff(12135,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12136,plain,
% 49.19/32.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12135, 12134])).
% 49.19/32.11 tff(12137,plain,
% 49.19/32.11 (v108(constB95)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12136, 292, 12130])).
% 49.19/32.11 tff(12138,plain,
% 49.19/32.11 (((~![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)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12139,plain,
% 49.19/32.11 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12140,plain,
% 49.19/32.11 (((~![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))))),
% 49.19/32.11 inference(monotonicity,[status(thm)],[12139])).
% 49.19/32.11 tff(12141,plain,
% 49.19/32.11 (((~![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)))),
% 49.19/32.11 inference(transitivity,[status(thm)],[12140, 12138])).
% 49.19/32.11 tff(12142,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12143,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12142, 12141])).
% 49.19/32.11 tff(12144,plain,
% 49.19/32.11 (v110(constB96) | (~v108(constB95))),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12143, 312, 11305])).
% 49.19/32.11 tff(12145,plain,
% 49.19/32.11 (v110(constB96)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12144, 12137])).
% 49.19/32.11 tff(12146,plain,
% 49.19/32.11 (((~![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)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12147,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12148,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 49.19/32.11 tff(12149,plain,
% 49.19/32.11 (~v104(constB96)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12148, 330, 11305, 11196])).
% 49.19/32.11 tff(12150,plain,
% 49.19/32.11 (((~![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)) | v102(constB96) | v104(constB96))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12151,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12152,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12151, 12150])).
% 49.19/32.11 tff(12153,plain,
% 49.19/32.11 (v102(constB96) | v104(constB96)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12152, 344, 11305])).
% 49.19/32.11 tff(12154,plain,
% 49.19/32.11 (v102(constB96)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12153, 12149])).
% 49.19/32.11 tff(12155,plain,
% 49.19/32.11 (v1(constB96) <=> v1(constB96)),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12156,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 49.19/32.11 tff(12157,plain,
% 49.19/32.11 (v1(constB96)),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 49.19/32.11 tff(12158,plain,
% 49.19/32.11 (((~![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)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12159,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12160,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12159, 12158])).
% 49.19/32.11 tff(12161,plain,
% 49.19/32.11 (v101(constB96) | (~v102(constB96))),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12160, 362, 11305, 12157])).
% 49.19/32.11 tff(12162,plain,
% 49.19/32.11 (v101(constB96)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12161, 12154])).
% 49.19/32.11 tff(12163,plain,
% 49.19/32.11 (((~![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)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12164,plain,
% 49.19/32.11 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12165,plain,
% 49.19/32.11 (((~![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))))),
% 49.19/32.11 inference(monotonicity,[status(thm)],[12164])).
% 49.19/32.11 tff(12166,plain,
% 49.19/32.11 (((~![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)))),
% 49.19/32.11 inference(transitivity,[status(thm)],[12165, 12163])).
% 49.19/32.11 tff(12167,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 49.19/32.11 inference(quant_inst,[status(thm)],[])).
% 49.19/32.11 tff(12168,plain,
% 49.19/32.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 49.19/32.11 inference(modus_ponens,[status(thm)],[12167, 12166])).
% 49.19/32.11 tff(12169,plain,
% 49.19/32.11 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12168, 377, 11305])).
% 49.19/32.11 tff(12170,plain,
% 49.19/32.11 (v100(constB96) | (~v110(constB96))),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12169, 12162])).
% 49.19/32.11 tff(12171,plain,
% 49.19/32.11 (v100(constB96)),
% 49.19/32.11 inference(unit_resolution,[status(thm)],[12170, 12145])).
% 49.19/32.11 tff(12172,plain,
% 49.19/32.11 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12173,plain,
% 49.19/32.11 ((v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2))) <=> (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 49.19/32.11 inference(rewrite,[status(thm)],[])).
% 49.19/32.11 tff(12174,plain,
% 49.19/32.11 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))))),
% 49.19/32.11 inference(monotonicity,[status(thm)],[12173])).
% 49.19/32.11 tff(12175,plain,
% 49.19/32.11 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12174, 12172])).
% 49.19/32.12 tff(12176,plain,
% 49.19/32.12 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12177,plain,
% 49.19/32.12 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12176, 12175])).
% 49.19/32.12 tff(12178,plain,
% 49.19/32.12 (v90(constB96, 2) | (~v129(constB96, 2))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12177, 1358, 12171])).
% 49.19/32.12 tff(12179,plain,
% 49.19/32.12 (v90(constB96, 2)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12178, 11310])).
% 49.19/32.12 tff(12180,plain,
% 49.19/32.12 ((~v1(constB97)) <=> (~v1(constB97))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12181,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 49.19/32.12 tff(12182,plain,
% 49.19/32.12 (~v1(constB97)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12181, 12180])).
% 49.19/32.12 tff(12183,plain,
% 49.19/32.12 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12184,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 49.19/32.12 tff(12185,plain,
% 49.19/32.12 (nextState(constB96, constB97)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 49.19/32.12 tff(12186,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12187,plain,
% 49.19/32.12 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12188,plain,
% 49.19/32.12 (((~![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))))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12187])).
% 49.19/32.12 tff(12189,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12188, 12186])).
% 49.19/32.12 tff(12190,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12191,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12190, 12189])).
% 49.19/32.12 tff(12192,plain,
% 49.19/32.12 (~v101(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12191, 90, 12185, 12182])).
% 49.19/32.12 tff(12193,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12194,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12195,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 49.19/32.12 tff(12196,plain,
% 49.19/32.12 (v101(constB97) | (~v100(constB97))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12195, 107, 12185])).
% 49.19/32.12 tff(12197,plain,
% 49.19/32.12 (~v100(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12196, 12192])).
% 49.19/32.12 tff(12198,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12199,plain,
% 49.19/32.12 (((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)) <=> ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12200,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12199])).
% 49.19/32.12 tff(12201,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12200, 12198])).
% 49.19/32.12 tff(12202,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12203,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 49.19/32.12 tff(12204,plain,
% 49.19/32.12 ((~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12203, 1394, 12185])).
% 49.19/32.12 tff(12205,plain,
% 49.19/32.12 ((~v90(constB96, 2)) | v90(constB97, 2)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12204, 12197])).
% 49.19/32.12 tff(12206,plain,
% 49.19/32.12 (v90(constB97, 2)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12205, 12179])).
% 49.19/32.12 tff(12207,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12208,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12209,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12208, 12207])).
% 49.19/32.12 tff(12210,plain,
% 49.19/32.12 (v130(constB95, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12209, 1871, 11289])).
% 49.19/32.12 tff(12211,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12212,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12213,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12212, 12211])).
% 49.19/32.12 tff(12214,plain,
% 49.19/32.12 ((~v130(constB95, 1)) | v127(constB95, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12213, 852, 11297])).
% 49.19/32.12 tff(12215,plain,
% 49.19/32.12 (v127(constB95, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12214, 12210])).
% 49.19/32.12 tff(12216,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12217,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12218,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12217, 12216])).
% 49.19/32.12 tff(12219,plain,
% 49.19/32.12 ((~v127(constB95, 1)) | v129(constB96, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12218, 867, 11305])).
% 49.19/32.12 tff(12220,plain,
% 49.19/32.12 (v129(constB96, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12219, 12215])).
% 49.19/32.12 tff(12221,plain,
% 49.19/32.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12222,plain,
% 49.19/32.12 ((v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1))) <=> (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12223,plain,
% 49.19/32.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12222])).
% 49.19/32.12 tff(12224,plain,
% 49.19/32.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12223, 12221])).
% 49.19/32.12 tff(12225,plain,
% 49.19/32.12 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12226,plain,
% 49.19/32.12 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12225, 12224])).
% 49.19/32.12 tff(12227,plain,
% 49.19/32.12 (v90(constB96, 1) | (~v129(constB96, 1))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12226, 882, 12171])).
% 49.19/32.12 tff(12228,plain,
% 49.19/32.12 (v90(constB96, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12227, 12220])).
% 49.19/32.12 tff(12229,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12230,plain,
% 49.19/32.12 (((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)) <=> ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12231,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12230])).
% 49.19/32.12 tff(12232,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12231, 12229])).
% 49.19/32.12 tff(12233,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12234,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12233, 12232])).
% 49.19/32.12 tff(12235,plain,
% 49.19/32.12 ((~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12234, 900, 12185])).
% 49.19/32.12 tff(12236,plain,
% 49.19/32.12 ((~v90(constB96, 1)) | v90(constB97, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12235, 12197])).
% 49.19/32.12 tff(12237,plain,
% 49.19/32.12 (v90(constB97, 1)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12236, 12228])).
% 49.19/32.12 tff(12238,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12239,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12240,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12239, 12238])).
% 49.19/32.12 tff(12241,plain,
% 49.19/32.12 (~v130(constB95, 0)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12240, 1909, 11289])).
% 49.19/32.12 tff(12242,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12243,plain,
% 49.19/32.12 ((v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0))) <=> ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12244,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12243])).
% 49.19/32.12 tff(12245,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12244, 12242])).
% 49.19/32.12 tff(12246,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12247,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12246, 12245])).
% 49.19/32.12 tff(12248,plain,
% 49.19/32.12 ((~v127(constB95, 0)) | v130(constB95, 0)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12247, 930, 11297])).
% 49.19/32.12 tff(12249,plain,
% 49.19/32.12 (~v127(constB95, 0)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12248, 12241])).
% 49.19/32.12 tff(12250,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12251,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12252,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12251, 12250])).
% 49.19/32.12 tff(12253,plain,
% 49.19/32.12 (v127(constB95, 0) | (~v129(constB96, 0))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12252, 948, 11305])).
% 49.19/32.12 tff(12254,plain,
% 49.19/32.12 (~v129(constB96, 0)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12253, 12249])).
% 49.19/32.12 tff(12255,plain,
% 49.19/32.12 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12256,plain,
% 49.19/32.12 (((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0)) <=> ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12257,plain,
% 49.19/32.12 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12256])).
% 49.19/32.12 tff(12258,plain,
% 49.19/32.12 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12257, 12255])).
% 49.19/32.12 tff(12259,plain,
% 49.19/32.12 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12260,plain,
% 49.19/32.12 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 49.19/32.12 tff(12261,plain,
% 49.19/32.12 ((~v90(constB96, 0)) | v129(constB96, 0)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12260, 963, 12171])).
% 49.19/32.12 tff(12262,plain,
% 49.19/32.12 (~v90(constB96, 0)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12261, 12254])).
% 49.19/32.12 tff(12263,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12264,plain,
% 49.19/32.12 (((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))) <=> (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12265,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12264])).
% 49.19/32.12 tff(12266,plain,
% 49.19/32.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12265, 12263])).
% 49.19/32.12 tff(12267,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12268,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 49.19/32.12 tff(12269,plain,
% 49.19/32.12 (v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12268, 164, 12185])).
% 49.19/32.12 tff(12270,plain,
% 49.19/32.12 (v90(constB96, 0) | (~v90(constB97, 0))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12269, 12197])).
% 49.19/32.12 tff(12271,plain,
% 49.19/32.12 (~v90(constB97, 0)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12270, 12262])).
% 49.19/32.12 tff(12272,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12273,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12274,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 49.19/32.12 tff(12275,plain,
% 49.19/32.12 (v125(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12274, 1953, 12271, 12237, 12206])).
% 49.19/32.12 tff(12276,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12277,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12278,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12277, 12276])).
% 49.19/32.12 tff(12279,plain,
% 49.19/32.12 (v113(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12278, 1964, 12275])).
% 49.19/32.12 tff(12280,assumption,(v26(constB97)), introduced(assumption)).
% 49.19/32.12 tff(12281,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12282,plain,
% 49.19/32.12 ($false),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12281, 43, 12280])).
% 49.19/32.12 tff(12283,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 49.19/32.12 tff(12284,plain,
% 49.19/32.12 (((~![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))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12285,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12286,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 49.19/32.12 tff(12287,plain,
% 49.19/32.12 ((~v113(constB97)) | v112(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12286, 280, 12283])).
% 49.19/32.12 tff(12288,plain,
% 49.19/32.12 (v112(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12287, 12279])).
% 49.19/32.12 tff(12289,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12290,plain,
% 49.19/32.12 (((~v112(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v112(constB97)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12291,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97))))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12290])).
% 49.19/32.12 tff(12292,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12291, 12289])).
% 49.19/32.12 tff(12293,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12294,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 49.19/32.12 tff(12295,plain,
% 49.19/32.12 (v108(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12294, 292, 12288])).
% 49.19/32.12 tff(12296,plain,
% 49.19/32.12 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12297,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 49.19/32.12 tff(12298,plain,
% 49.19/32.12 (nextState(constB97, constB98)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12297, 12296])).
% 49.19/32.12 tff(12299,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12300,plain,
% 49.19/32.12 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12301,plain,
% 49.19/32.12 (((~![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))))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12300])).
% 49.19/32.12 tff(12302,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12301, 12299])).
% 49.19/32.12 tff(12303,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12304,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 49.19/32.12 tff(12305,plain,
% 49.19/32.12 (v110(constB98) | (~v108(constB97))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12304, 312, 12298])).
% 49.19/32.12 tff(12306,plain,
% 49.19/32.12 (v110(constB98)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12305, 12295])).
% 49.19/32.12 tff(12307,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12308,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12309,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12308, 12307])).
% 49.19/32.12 tff(12310,plain,
% 49.19/32.12 (~v104(constB98)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12309, 330, 12298, 12182])).
% 49.19/32.12 tff(12311,plain,
% 49.19/32.12 (((~![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)) | v102(constB98) | v104(constB98))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12312,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12313,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12312, 12311])).
% 49.19/32.12 tff(12314,plain,
% 49.19/32.12 (v102(constB98) | v104(constB98)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12313, 344, 12298])).
% 49.19/32.12 tff(12315,plain,
% 49.19/32.12 (v102(constB98)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12314, 12310])).
% 49.19/32.12 tff(12316,plain,
% 49.19/32.12 (v1(constB98) <=> v1(constB98)),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12317,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 49.19/32.12 tff(12318,plain,
% 49.19/32.12 (v1(constB98)),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12317, 12316])).
% 49.19/32.12 tff(12319,plain,
% 49.19/32.12 (((~![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)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12320,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12321,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12320, 12319])).
% 49.19/32.12 tff(12322,plain,
% 49.19/32.12 (v101(constB98) | (~v102(constB98))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12321, 362, 12298, 12318])).
% 49.19/32.12 tff(12323,plain,
% 49.19/32.12 (v101(constB98)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12322, 12315])).
% 49.19/32.12 tff(12324,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12325,plain,
% 49.19/32.12 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12326,plain,
% 49.19/32.12 (((~![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))))),
% 49.19/32.12 inference(monotonicity,[status(thm)],[12325])).
% 49.19/32.12 tff(12327,plain,
% 49.19/32.12 (((~![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)))),
% 49.19/32.12 inference(transitivity,[status(thm)],[12326, 12324])).
% 49.19/32.12 tff(12328,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12329,plain,
% 49.19/32.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12328, 12327])).
% 49.19/32.12 tff(12330,plain,
% 49.19/32.12 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12329, 377, 12298])).
% 49.19/32.12 tff(12331,plain,
% 49.19/32.12 (v100(constB98) | (~v110(constB98))),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12330, 12323])).
% 49.19/32.12 tff(12332,plain,
% 49.19/32.12 (v100(constB98)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12331, 12306])).
% 49.19/32.12 tff(12333,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.12 inference(rewrite,[status(thm)],[])).
% 49.19/32.12 tff(12334,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.12 inference(quant_inst,[status(thm)],[])).
% 49.19/32.12 tff(12335,plain,
% 49.19/32.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1))),
% 49.19/32.12 inference(modus_ponens,[status(thm)],[12334, 12333])).
% 49.19/32.12 tff(12336,plain,
% 49.19/32.12 (~v119(constB97)),
% 49.19/32.12 inference(unit_resolution,[status(thm)],[12335, 2050, 12237])).
% 49.19/32.12 tff(12337,plain,
% 49.19/32.12 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12338,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12339,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1))),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12338, 12337])).
% 49.19/32.13 tff(12340,plain,
% 49.19/32.13 (~v124(constB97)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12339, 2083, 12237])).
% 49.19/32.13 tff(12341,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12342,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12343,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1))),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 49.19/32.13 tff(12344,plain,
% 49.19/32.13 (~v123(constB97)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12343, 2072, 12237])).
% 49.19/32.13 tff(12345,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2)))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12346,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12347,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2))),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 49.19/32.13 tff(12348,plain,
% 49.19/32.13 (~v121(constB97)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12347, 2028, 12206])).
% 49.19/32.13 tff(12349,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12350,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12351,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1))),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 49.19/32.13 tff(12352,plain,
% 49.19/32.13 (~v120(constB97)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12351, 2061, 12237])).
% 49.19/32.13 tff(12353,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2)))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12354,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12355,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2))),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12354, 12353])).
% 49.19/32.13 tff(12356,plain,
% 49.19/32.13 (~v122(constB97)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12355, 2039, 12206])).
% 49.19/32.13 tff(12357,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12358,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12359,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2))),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12358, 12357])).
% 49.19/32.13 tff(12360,plain,
% 49.19/32.13 (~v130(constB97, 2)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12359, 2097, 12356, 12352, 12348, 12344, 12340, 12336])).
% 49.19/32.13 tff(12361,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12362,plain,
% 49.19/32.13 ((v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2))) <=> ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12363,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)))),
% 49.19/32.13 inference(monotonicity,[status(thm)],[12362])).
% 49.19/32.13 tff(12364,plain,
% 49.19/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 49.19/32.13 inference(transitivity,[status(thm)],[12363, 12361])).
% 49.19/32.13 tff(12365,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12366,plain,
% 49.19/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12365, 12364])).
% 49.19/32.13 tff(12367,plain,
% 49.19/32.13 ((~v127(constB97, 2)) | v130(constB97, 2)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12366, 593, 12283])).
% 49.19/32.13 tff(12368,plain,
% 49.19/32.13 (~v127(constB97, 2)),
% 49.19/32.13 inference(unit_resolution,[status(thm)],[12367, 12360])).
% 49.19/32.13 tff(12369,plain,
% 49.19/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 49.19/32.13 inference(rewrite,[status(thm)],[])).
% 49.19/32.13 tff(12370,plain,
% 49.19/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 49.19/32.13 inference(quant_inst,[status(thm)],[])).
% 49.19/32.13 tff(12371,plain,
% 49.19/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2))),
% 49.19/32.13 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 49.19/32.13 tff(12372,plain,
% 49.19/32.13 (v127(constB97, 2) | (~v129(constB98, 2))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12371, 611, 12298])).
% 49.20/32.13 tff(12373,plain,
% 49.20/32.13 (~v129(constB98, 2)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12372, 12368])).
% 49.20/32.13 tff(12374,plain,
% 49.20/32.13 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12375,plain,
% 49.20/32.13 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12376,plain,
% 49.20/32.13 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12375, 12374])).
% 49.20/32.13 tff(12377,plain,
% 49.20/32.13 ((~v90(constB98, 2)) | (~v100(constB98))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12376, 626, 12373])).
% 49.20/32.13 tff(12378,plain,
% 49.20/32.13 (~v90(constB98, 2)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12377, 12332])).
% 49.20/32.13 tff(12379,plain,
% 49.20/32.13 ((~v1(constB99)) <=> (~v1(constB99))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12380,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 49.20/32.13 tff(12381,plain,
% 49.20/32.13 (~v1(constB99)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 49.20/32.13 tff(12382,plain,
% 49.20/32.13 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12383,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 49.20/32.13 tff(12384,plain,
% 49.20/32.13 (nextState(constB98, constB99)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 49.20/32.13 tff(12385,plain,
% 49.20/32.13 (((~![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)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12386,plain,
% 49.20/32.13 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12387,plain,
% 49.20/32.13 (((~![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))))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12386])).
% 49.20/32.13 tff(12388,plain,
% 49.20/32.13 (((~![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)))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12387, 12385])).
% 49.20/32.13 tff(12389,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12390,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 49.20/32.13 tff(12391,plain,
% 49.20/32.13 (~v101(constB99)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12390, 90, 12384, 12381])).
% 49.20/32.13 tff(12392,plain,
% 49.20/32.13 (((~![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)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12393,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12394,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 49.20/32.13 tff(12395,plain,
% 49.20/32.13 (v101(constB99) | (~v100(constB99))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12394, 107, 12384])).
% 49.20/32.13 tff(12396,plain,
% 49.20/32.13 (~v100(constB99)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12395, 12391])).
% 49.20/32.13 tff(12397,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12398,plain,
% 49.20/32.13 (((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))) <=> (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12399,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12398])).
% 49.20/32.13 tff(12400,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12399, 12397])).
% 49.20/32.13 tff(12401,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12402,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12401, 12400])).
% 49.20/32.13 tff(12403,plain,
% 49.20/32.13 (v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12402, 122, 12384])).
% 49.20/32.13 tff(12404,plain,
% 49.20/32.13 (v90(constB98, 2) | (~v90(constB99, 2))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12403, 12396])).
% 49.20/32.13 tff(12405,plain,
% 49.20/32.13 (~v90(constB99, 2)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12404, 12378])).
% 49.20/32.13 tff(12406,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12407,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12408,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12407, 12406])).
% 49.20/32.13 tff(12409,plain,
% 49.20/32.13 (v130(constB97, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12408, 2200, 12356, 12352, 12348, 12344, 12340, 12336])).
% 49.20/32.13 tff(12410,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12411,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12412,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12411, 12410])).
% 49.20/32.13 tff(12413,plain,
% 49.20/32.13 ((~v130(constB97, 0)) | v127(constB97, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12412, 515, 12283])).
% 49.20/32.13 tff(12414,plain,
% 49.20/32.13 (v127(constB97, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12413, 12409])).
% 49.20/32.13 tff(12415,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12416,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12417,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 49.20/32.13 tff(12418,plain,
% 49.20/32.13 ((~v127(constB97, 0)) | v129(constB98, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12417, 530, 12298])).
% 49.20/32.13 tff(12419,plain,
% 49.20/32.13 (v129(constB98, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12418, 12414])).
% 49.20/32.13 tff(12420,plain,
% 49.20/32.13 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12421,plain,
% 49.20/32.13 ((v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0))) <=> (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12422,plain,
% 49.20/32.13 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12421])).
% 49.20/32.13 tff(12423,plain,
% 49.20/32.13 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12422, 12420])).
% 49.20/32.13 tff(12424,plain,
% 49.20/32.13 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12425,plain,
% 49.20/32.13 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12424, 12423])).
% 49.20/32.13 tff(12426,plain,
% 49.20/32.13 (v90(constB98, 0) | (~v100(constB98))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12425, 545, 12419])).
% 49.20/32.13 tff(12427,plain,
% 49.20/32.13 (v90(constB98, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12426, 12332])).
% 49.20/32.13 tff(12428,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12429,plain,
% 49.20/32.13 (((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)) <=> ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12430,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12429])).
% 49.20/32.13 tff(12431,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12430, 12428])).
% 49.20/32.13 tff(12432,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12433,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 49.20/32.13 tff(12434,plain,
% 49.20/32.13 ((~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12433, 563, 12384])).
% 49.20/32.13 tff(12435,plain,
% 49.20/32.13 ((~v90(constB98, 0)) | v90(constB99, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12434, 12396])).
% 49.20/32.13 tff(12436,plain,
% 49.20/32.13 (v90(constB99, 0)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12435, 12427])).
% 49.20/32.13 tff(12437,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12438,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12439,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12438, 12437])).
% 49.20/32.13 tff(12440,plain,
% 49.20/32.13 (~v130(constB97, 1)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12439, 2156, 12356, 12352, 12348, 12344, 12340, 12336])).
% 49.20/32.13 tff(12441,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12442,plain,
% 49.20/32.13 ((v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1))) <=> ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12443,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12442])).
% 49.20/32.13 tff(12444,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12443, 12441])).
% 49.20/32.13 tff(12445,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12446,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12445, 12444])).
% 49.20/32.13 tff(12447,plain,
% 49.20/32.13 ((~v127(constB97, 1)) | v130(constB97, 1)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12446, 408, 12283])).
% 49.20/32.13 tff(12448,plain,
% 49.20/32.13 (~v127(constB97, 1)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12447, 12440])).
% 49.20/32.13 tff(12449,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12450,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12451,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 49.20/32.13 tff(12452,plain,
% 49.20/32.13 (v127(constB97, 1) | (~v129(constB98, 1))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12451, 438, 12298])).
% 49.20/32.13 tff(12453,plain,
% 49.20/32.13 (~v129(constB98, 1)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12452, 12448])).
% 49.20/32.13 tff(12454,plain,
% 49.20/32.13 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12455,plain,
% 49.20/32.13 (((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1)) <=> ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12456,plain,
% 49.20/32.13 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12455])).
% 49.20/32.13 tff(12457,plain,
% 49.20/32.13 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12456, 12454])).
% 49.20/32.13 tff(12458,plain,
% 49.20/32.13 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12459,plain,
% 49.20/32.13 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 49.20/32.13 tff(12460,plain,
% 49.20/32.13 ((~v90(constB98, 1)) | (~v100(constB98))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12459, 453, 12453])).
% 49.20/32.13 tff(12461,plain,
% 49.20/32.13 (~v90(constB98, 1)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12460, 12332])).
% 49.20/32.13 tff(12462,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12463,plain,
% 49.20/32.13 (((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))) <=> (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12464,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12463])).
% 49.20/32.13 tff(12465,plain,
% 49.20/32.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12464, 12462])).
% 49.20/32.13 tff(12466,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12467,plain,
% 49.20/32.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 49.20/32.13 tff(12468,plain,
% 49.20/32.13 (v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12467, 143, 12384])).
% 49.20/32.13 tff(12469,plain,
% 49.20/32.13 (v90(constB98, 1) | (~v90(constB99, 1))),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12468, 12396])).
% 49.20/32.13 tff(12470,plain,
% 49.20/32.13 (~v90(constB99, 1)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12469, 12461])).
% 49.20/32.13 tff(12471,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12472,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12473,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99)),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12472, 12471])).
% 49.20/32.13 tff(12474,plain,
% 49.20/32.13 ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12473, 651, 10838])).
% 49.20/32.13 tff(12475,plain,
% 49.20/32.13 ($false),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12474, 12470, 12436, 12405])).
% 49.20/32.13 tff(12476,plain,(v129(constB92, 1) | v120(constB99) | v129(constB92, 0)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.13 tff(12477,plain,
% 49.20/32.13 ($false),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12476, 10888, 10867, 10838])).
% 49.20/32.13 tff(12478,plain,((~v122(constB91)) | v120(constB99)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.13 tff(12479,plain,
% 49.20/32.13 (v120(constB99)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12478, 10837])).
% 49.20/32.13 tff(12480,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB99) | (~v120(constB99)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12481,plain,
% 49.20/32.13 (((~v120(constB99)) | v118(constB99)) <=> (v118(constB99) | (~v120(constB99)))),
% 49.20/32.13 inference(rewrite,[status(thm)],[])).
% 49.20/32.13 tff(12482,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB99) | (~v120(constB99))))),
% 49.20/32.13 inference(monotonicity,[status(thm)],[12481])).
% 49.20/32.13 tff(12483,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99)))),
% 49.20/32.13 inference(transitivity,[status(thm)],[12482, 12480])).
% 49.20/32.13 tff(12484,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))),
% 49.20/32.13 inference(quant_inst,[status(thm)],[])).
% 49.20/32.13 tff(12485,plain,
% 49.20/32.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99))),
% 49.20/32.13 inference(modus_ponens,[status(thm)],[12484, 12483])).
% 49.20/32.13 tff(12486,plain,
% 49.20/32.13 (v118(constB99)),
% 49.20/32.13 inference(unit_resolution,[status(thm)],[12485, 665, 12479])).
% 49.20/32.13 tff(12487,plain,
% 49.20/32.13 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12488,plain,
% 49.20/32.14 (((~v118(constB99)) | v117(constB99)) <=> (v117(constB99) | (~v118(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12489,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12488])).
% 49.20/32.14 tff(12490,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12489, 12487])).
% 49.20/32.14 tff(12491,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12492,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 49.20/32.14 tff(12493,plain,
% 49.20/32.14 (v117(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12492, 210, 12486])).
% 49.20/32.14 tff(12494,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12495,plain,
% 49.20/32.14 (((~v117(constB99)) | v116(constB99)) <=> (v116(constB99) | (~v117(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12496,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12495])).
% 49.20/32.14 tff(12497,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12496, 12494])).
% 49.20/32.14 tff(12498,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12499,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 49.20/32.14 tff(12500,plain,
% 49.20/32.14 (v116(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12499, 224, 12493])).
% 49.20/32.14 tff(12501,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB99)) | v115(constB99))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12502,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12503,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB99)) | v115(constB99)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 49.20/32.14 tff(12504,plain,
% 49.20/32.14 (v115(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12503, 238, 12500])).
% 49.20/32.14 tff(12505,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12506,plain,
% 49.20/32.14 (((~v115(constB99)) | v114(constB99)) <=> (v114(constB99) | (~v115(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12507,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12506])).
% 49.20/32.14 tff(12508,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12507, 12505])).
% 49.20/32.14 tff(12509,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12510,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 49.20/32.14 tff(12511,plain,
% 49.20/32.14 (v114(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12510, 252, 12504])).
% 49.20/32.14 tff(12512,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12513,plain,
% 49.20/32.14 (((~v114(constB99)) | v113(constB99)) <=> (v113(constB99) | (~v114(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12514,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12513])).
% 49.20/32.14 tff(12515,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12514, 12512])).
% 49.20/32.14 tff(12516,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12517,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 49.20/32.14 tff(12518,plain,
% 49.20/32.14 (v113(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12517, 266, 12511])).
% 49.20/32.14 tff(12519,assumption,(v26(constB99)), introduced(assumption)).
% 49.20/32.14 tff(12520,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12521,plain,
% 49.20/32.14 ($false),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12520, 43, 12519])).
% 49.20/32.14 tff(12522,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.14 tff(12523,plain,
% 49.20/32.14 (((~![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) | (~v113(constB99)) | v112(constB99))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12524,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12525,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12524, 12523])).
% 49.20/32.14 tff(12526,plain,
% 49.20/32.14 ((~v113(constB99)) | v112(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12525, 280, 12522])).
% 49.20/32.14 tff(12527,plain,
% 49.20/32.14 (v112(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12526, 12518])).
% 49.20/32.14 tff(12528,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12529,plain,
% 49.20/32.14 (((~v112(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v112(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12530,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12529])).
% 49.20/32.14 tff(12531,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12530, 12528])).
% 49.20/32.14 tff(12532,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12533,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12532, 12531])).
% 49.20/32.14 tff(12534,plain,
% 49.20/32.14 (v108(constB99)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12533, 292, 12527])).
% 49.20/32.14 tff(12535,plain,
% 49.20/32.14 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12536,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 49.20/32.14 tff(12537,plain,
% 49.20/32.14 (nextState(constB99, constB100)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 49.20/32.14 tff(12538,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12539,plain,
% 49.20/32.14 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12540,plain,
% 49.20/32.14 (((~![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))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12539])).
% 49.20/32.14 tff(12541,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12540, 12538])).
% 49.20/32.14 tff(12542,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12543,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 49.20/32.14 tff(12544,plain,
% 49.20/32.14 (v110(constB100) | (~v108(constB99))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12543, 312, 12537])).
% 49.20/32.14 tff(12545,plain,
% 49.20/32.14 (v110(constB100)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12544, 12534])).
% 49.20/32.14 tff(12546,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12547,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12548,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 49.20/32.14 tff(12549,plain,
% 49.20/32.14 (~v104(constB100)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12548, 330, 12537, 12381])).
% 49.20/32.14 tff(12550,plain,
% 49.20/32.14 (((~![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)) | v102(constB100) | v104(constB100))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12551,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12552,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12551, 12550])).
% 49.20/32.14 tff(12553,plain,
% 49.20/32.14 (v102(constB100) | v104(constB100)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12552, 344, 12537])).
% 49.20/32.14 tff(12554,plain,
% 49.20/32.14 (v102(constB100)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12553, 12549])).
% 49.20/32.14 tff(12555,plain,
% 49.20/32.14 (v1(constB100) <=> v1(constB100)),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12556,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 49.20/32.14 tff(12557,plain,
% 49.20/32.14 (v1(constB100)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12556, 12555])).
% 49.20/32.14 tff(12558,plain,
% 49.20/32.14 (((~![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)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12559,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12560,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12559, 12558])).
% 49.20/32.14 tff(12561,plain,
% 49.20/32.14 (v101(constB100) | (~v102(constB100))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12560, 362, 12537, 12557])).
% 49.20/32.14 tff(12562,plain,
% 49.20/32.14 (v101(constB100)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12561, 12554])).
% 49.20/32.14 tff(12563,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12564,plain,
% 49.20/32.14 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12565,plain,
% 49.20/32.14 (((~![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))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12564])).
% 49.20/32.14 tff(12566,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12565, 12563])).
% 49.20/32.14 tff(12567,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12568,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12567, 12566])).
% 49.20/32.14 tff(12569,plain,
% 49.20/32.14 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12568, 377, 12537])).
% 49.20/32.14 tff(12570,plain,
% 49.20/32.14 (v100(constB100) | (~v110(constB100))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12569, 12562])).
% 49.20/32.14 tff(12571,plain,
% 49.20/32.14 (v100(constB100)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12570, 12545])).
% 49.20/32.14 tff(12572,assumption,(~v121(constB101)), introduced(assumption)).
% 49.20/32.14 tff(12573,assumption,(v120(constB99)), introduced(assumption)).
% 49.20/32.14 tff(12574,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12575,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12576,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12575, 12574])).
% 49.20/32.14 tff(12577,plain,
% 49.20/32.14 (~v130(constB99, 2)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12576, 767, 12573])).
% 49.20/32.14 tff(12578,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12579,plain,
% 49.20/32.14 ((v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2))) <=> ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12580,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12579])).
% 49.20/32.14 tff(12581,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12580, 12578])).
% 49.20/32.14 tff(12582,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12583,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12582, 12581])).
% 49.20/32.14 tff(12584,plain,
% 49.20/32.14 ((~v127(constB99, 2)) | v130(constB99, 2)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12583, 593, 12522])).
% 49.20/32.14 tff(12585,plain,
% 49.20/32.14 (~v127(constB99, 2)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12584, 12577])).
% 49.20/32.14 tff(12586,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12587,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12588,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12587, 12586])).
% 49.20/32.14 tff(12589,plain,
% 49.20/32.14 (v127(constB99, 2) | (~v129(constB100, 2))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12588, 611, 12537])).
% 49.20/32.14 tff(12590,plain,
% 49.20/32.14 (~v129(constB100, 2)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12589, 12585])).
% 49.20/32.14 tff(12591,assumption,(v100(constB100)), introduced(assumption)).
% 49.20/32.14 tff(12592,plain,
% 49.20/32.14 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12593,plain,
% 49.20/32.14 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12594,plain,
% 49.20/32.14 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12593, 12592])).
% 49.20/32.14 tff(12595,plain,
% 49.20/32.14 ((~v90(constB100, 2)) | v129(constB100, 2)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12594, 626, 12591])).
% 49.20/32.14 tff(12596,plain,
% 49.20/32.14 (~v90(constB100, 2)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12595, 12590])).
% 49.20/32.14 tff(12597,plain,
% 49.20/32.14 ((~v1(constB101)) <=> (~v1(constB101))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12598,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 49.20/32.14 tff(12599,plain,
% 49.20/32.14 (~v1(constB101)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12598, 12597])).
% 49.20/32.14 tff(12600,plain,
% 49.20/32.14 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12601,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 49.20/32.14 tff(12602,plain,
% 49.20/32.14 (nextState(constB100, constB101)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 49.20/32.14 tff(12603,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12604,plain,
% 49.20/32.14 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12605,plain,
% 49.20/32.14 (((~![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))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12604])).
% 49.20/32.14 tff(12606,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12605, 12603])).
% 49.20/32.14 tff(12607,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12608,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12607, 12606])).
% 49.20/32.14 tff(12609,plain,
% 49.20/32.14 (~v101(constB101)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12608, 90, 12602, 12599])).
% 49.20/32.14 tff(12610,plain,
% 49.20/32.14 (((~![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)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12611,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12612,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 49.20/32.14 tff(12613,plain,
% 49.20/32.14 (v101(constB101) | (~v100(constB101))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12612, 107, 12602])).
% 49.20/32.14 tff(12614,plain,
% 49.20/32.14 (~v100(constB101)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12613, 12609])).
% 49.20/32.14 tff(12615,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12616,plain,
% 49.20/32.14 (((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))) <=> (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12617,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12616])).
% 49.20/32.14 tff(12618,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12617, 12615])).
% 49.20/32.14 tff(12619,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12620,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12619, 12618])).
% 49.20/32.14 tff(12621,plain,
% 49.20/32.14 (v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12620, 122, 12602])).
% 49.20/32.14 tff(12622,plain,
% 49.20/32.14 (v90(constB100, 2) | (~v90(constB101, 2))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12621, 12614])).
% 49.20/32.14 tff(12623,plain,
% 49.20/32.14 (~v90(constB101, 2)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12622, 12596])).
% 49.20/32.14 tff(12624,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12625,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12626,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12625, 12624])).
% 49.20/32.14 tff(12627,plain,
% 49.20/32.14 (v130(constB99, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12626, 838, 12573])).
% 49.20/32.14 tff(12628,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12629,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12630,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12629, 12628])).
% 49.20/32.14 tff(12631,plain,
% 49.20/32.14 ((~v130(constB99, 1)) | v127(constB99, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12630, 852, 12522])).
% 49.20/32.14 tff(12632,plain,
% 49.20/32.14 (v127(constB99, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12631, 12627])).
% 49.20/32.14 tff(12633,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12634,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12635,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12634, 12633])).
% 49.20/32.14 tff(12636,plain,
% 49.20/32.14 ((~v127(constB99, 1)) | v129(constB100, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12635, 867, 12537])).
% 49.20/32.14 tff(12637,plain,
% 49.20/32.14 (v129(constB100, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12636, 12632])).
% 49.20/32.14 tff(12638,plain,
% 49.20/32.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12639,plain,
% 49.20/32.14 ((v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1))) <=> (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12640,plain,
% 49.20/32.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12639])).
% 49.20/32.14 tff(12641,plain,
% 49.20/32.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12640, 12638])).
% 49.20/32.14 tff(12642,plain,
% 49.20/32.14 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12643,plain,
% 49.20/32.14 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12642, 12641])).
% 49.20/32.14 tff(12644,plain,
% 49.20/32.14 (v90(constB100, 1) | (~v129(constB100, 1))),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12643, 882, 12591])).
% 49.20/32.14 tff(12645,plain,
% 49.20/32.14 (v90(constB100, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12644, 12637])).
% 49.20/32.14 tff(12646,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12647,plain,
% 49.20/32.14 (((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)) <=> ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12648,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)))),
% 49.20/32.14 inference(monotonicity,[status(thm)],[12647])).
% 49.20/32.14 tff(12649,plain,
% 49.20/32.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 49.20/32.14 inference(transitivity,[status(thm)],[12648, 12646])).
% 49.20/32.14 tff(12650,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12651,plain,
% 49.20/32.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12650, 12649])).
% 49.20/32.14 tff(12652,plain,
% 49.20/32.14 ((~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12651, 900, 12602])).
% 49.20/32.14 tff(12653,plain,
% 49.20/32.14 ((~v90(constB100, 1)) | v90(constB101, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12652, 12614])).
% 49.20/32.14 tff(12654,plain,
% 49.20/32.14 (v90(constB101, 1)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12653, 12645])).
% 49.20/32.14 tff(12655,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0)))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12656,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))),
% 49.20/32.14 inference(quant_inst,[status(thm)],[])).
% 49.20/32.14 tff(12657,plain,
% 49.20/32.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0))),
% 49.20/32.14 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 49.20/32.14 tff(12658,plain,
% 49.20/32.14 (~v130(constB99, 0)),
% 49.20/32.14 inference(unit_resolution,[status(thm)],[12657, 916, 12573])).
% 49.20/32.14 tff(12659,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12660,plain,
% 49.20/32.14 ((v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0))) <=> ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 49.20/32.14 inference(rewrite,[status(thm)],[])).
% 49.20/32.14 tff(12661,plain,
% 49.20/32.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12660])).
% 49.20/32.15 tff(12662,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12661, 12659])).
% 49.20/32.15 tff(12663,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12664,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 49.20/32.15 tff(12665,plain,
% 49.20/32.15 ((~v127(constB99, 0)) | v130(constB99, 0)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12664, 930, 12522])).
% 49.20/32.15 tff(12666,plain,
% 49.20/32.15 (~v127(constB99, 0)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12665, 12658])).
% 49.20/32.15 tff(12667,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12668,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12669,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12668, 12667])).
% 49.20/32.15 tff(12670,plain,
% 49.20/32.15 (v127(constB99, 0) | (~v129(constB100, 0))),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12669, 948, 12537])).
% 49.20/32.15 tff(12671,plain,
% 49.20/32.15 (~v129(constB100, 0)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12670, 12666])).
% 49.20/32.15 tff(12672,plain,
% 49.20/32.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12673,plain,
% 49.20/32.15 (((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0)) <=> ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12674,plain,
% 49.20/32.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12673])).
% 49.20/32.15 tff(12675,plain,
% 49.20/32.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12674, 12672])).
% 49.20/32.15 tff(12676,plain,
% 49.20/32.15 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12677,plain,
% 49.20/32.15 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 49.20/32.15 tff(12678,plain,
% 49.20/32.15 ((~v90(constB100, 0)) | v129(constB100, 0)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12677, 963, 12591])).
% 49.20/32.15 tff(12679,plain,
% 49.20/32.15 (~v90(constB100, 0)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12678, 12671])).
% 49.20/32.15 tff(12680,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12681,plain,
% 49.20/32.15 (((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))) <=> (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12682,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12681])).
% 49.20/32.15 tff(12683,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12682, 12680])).
% 49.20/32.15 tff(12684,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12685,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 49.20/32.15 tff(12686,plain,
% 49.20/32.15 (v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12685, 164, 12602])).
% 49.20/32.15 tff(12687,plain,
% 49.20/32.15 (v90(constB100, 0) | (~v90(constB101, 0))),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12686, 12614])).
% 49.20/32.15 tff(12688,plain,
% 49.20/32.15 (~v90(constB101, 0)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12687, 12679])).
% 49.20/32.15 tff(12689,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12690,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12691,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12690, 12689])).
% 49.20/32.15 tff(12692,plain,
% 49.20/32.15 ($false),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12691, 990, 12688, 12654, 12623, 12572])).
% 49.20/32.15 tff(12693,plain,((~v120(constB99)) | v121(constB101) | (~v100(constB100))), inference(lemma,lemma(discharge,[]))).
% 49.20/32.15 tff(12694,plain,
% 49.20/32.15 (v121(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12693, 12571, 12479])).
% 49.20/32.15 tff(12695,assumption,(v121(constB101)), introduced(assumption)).
% 49.20/32.15 tff(12696,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12697,plain,
% 49.20/32.15 (((~v121(constB101)) | v117(constB101)) <=> (v117(constB101) | (~v121(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12698,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB101) | (~v121(constB101))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12697])).
% 49.20/32.15 tff(12699,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12698, 12696])).
% 49.20/32.15 tff(12700,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12701,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 49.20/32.15 tff(12702,plain,
% 49.20/32.15 (v117(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12701, 1001, 12695])).
% 49.20/32.15 tff(12703,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12704,plain,
% 49.20/32.15 (((~v117(constB101)) | v116(constB101)) <=> (v116(constB101) | (~v117(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12705,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12704])).
% 49.20/32.15 tff(12706,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12705, 12703])).
% 49.20/32.15 tff(12707,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12708,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 49.20/32.15 tff(12709,plain,
% 49.20/32.15 (v116(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12708, 224, 12702])).
% 49.20/32.15 tff(12710,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12711,plain,
% 49.20/32.15 (((~v116(constB101)) | v115(constB101)) <=> (v115(constB101) | (~v116(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12712,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12711])).
% 49.20/32.15 tff(12713,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12712, 12710])).
% 49.20/32.15 tff(12714,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12715,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 49.20/32.15 tff(12716,plain,
% 49.20/32.15 (v115(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12715, 238, 12709])).
% 49.20/32.15 tff(12717,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12718,plain,
% 49.20/32.15 (((~v115(constB101)) | v114(constB101)) <=> (v114(constB101) | (~v115(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12719,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12718])).
% 49.20/32.15 tff(12720,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12719, 12717])).
% 49.20/32.15 tff(12721,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12722,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 49.20/32.15 tff(12723,plain,
% 49.20/32.15 (v114(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12722, 252, 12716])).
% 49.20/32.15 tff(12724,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12725,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12726,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12725, 12724])).
% 49.20/32.15 tff(12727,plain,
% 49.20/32.15 (v113(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12726, 266, 12723])).
% 49.20/32.15 tff(12728,assumption,(v26(constB100)), introduced(assumption)).
% 49.20/32.15 tff(12729,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB100))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12730,plain,
% 49.20/32.15 ($false),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12729, 43, 12728])).
% 49.20/32.15 tff(12731,plain,(~v26(constB100)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.15 tff(12732,plain,
% 49.20/32.15 (^[VarNext: state_type, VarCurr: state_type] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12733,plain,
% 49.20/32.15 (![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)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12732])).
% 49.20/32.15 tff(12734,plain,
% 49.20/32.15 (![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)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12735,plain,
% 49.20/32.15 (^[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)))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12736,plain,
% 49.20/32.15 (![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)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12735])).
% 49.20/32.15 tff(12737,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')).
% 49.20/32.15 tff(12738,plain,
% 49.20/32.15 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12737, 12736])).
% 49.20/32.15 tff(12739,plain,
% 49.20/32.15 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12738, 12734])).
% 49.20/32.15 tff(12740,plain,(
% 49.20/32.15 ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12739])).
% 49.20/32.15 tff(12741,plain,
% 49.20/32.15 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12740, 12733])).
% 49.20/32.15 tff(12742,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12743,plain,
% 49.20/32.15 ((v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101))) <=> ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12744,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12743])).
% 49.20/32.15 tff(12745,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12744, 12742])).
% 49.20/32.15 tff(12746,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12747,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 49.20/32.15 tff(12748,plain,
% 49.20/32.15 (v26(constB100) | (~v66(constB101))),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12747, 12741, 12602])).
% 49.20/32.15 tff(12749,plain,
% 49.20/32.15 (~v66(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12748, 12731])).
% 49.20/32.15 tff(12750,assumption,(v18(constB102)), introduced(assumption)).
% 49.20/32.15 tff(12751,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12752,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12751])).
% 49.20/32.15 tff(12753,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12754,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 49.20/32.15 tff(12755,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v18(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 49.20/32.15 tff(12756,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (~v18(VarCurr))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12755])).
% 49.20/32.15 tff(12757,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v18(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12756, 12752])).
% 49.20/32.15 tff(12758,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB102))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12759,plain,
% 49.20/32.15 ($false),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12758, 12757, 12750])).
% 49.20/32.15 tff(12760,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.15 tff(12761,plain,
% 49.20/32.15 (v1(constB102) <=> v1(constB102)),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12762,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 49.20/32.15 tff(12763,plain,
% 49.20/32.15 (v1(constB102)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12762, 12761])).
% 49.20/32.15 tff(12764,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12765,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12764])).
% 49.20/32.15 tff(12766,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12767,plain,
% 49.20/32.15 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12768,plain,
% 49.20/32.15 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12767])).
% 49.20/32.15 tff(12769,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 49.20/32.15 tff(12770,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12769, 12768])).
% 49.20/32.15 tff(12771,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12770, 12766])).
% 49.20/32.15 tff(12772,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12771])).
% 49.20/32.15 tff(12773,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12772, 12765])).
% 49.20/32.15 tff(12774,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12775,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12776,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 49.20/32.15 tff(12777,plain,
% 49.20/32.15 (v22(constB102)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12776, 12773, 12763])).
% 49.20/32.15 tff(12778,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12779,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12778])).
% 49.20/32.15 tff(12780,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12781,plain,
% 49.20/32.15 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12782,plain,
% 49.20/32.15 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12781])).
% 49.20/32.15 tff(12783,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 49.20/32.15 tff(12784,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 49.20/32.15 tff(12785,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12784, 12780])).
% 49.20/32.15 tff(12786,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12785])).
% 49.20/32.15 tff(12787,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12786, 12779])).
% 49.20/32.15 tff(12788,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12789,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12790,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12789, 12788])).
% 49.20/32.15 tff(12791,plain,
% 49.20/32.15 (v18(constB102) | (~v19(constB102))),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12790, 12787, 12777])).
% 49.20/32.15 tff(12792,plain,
% 49.20/32.15 (~v19(constB102)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12791, 12760])).
% 49.20/32.15 tff(12793,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12794,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12793])).
% 49.20/32.15 tff(12795,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12796,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_82_1_1_2')).
% 49.20/32.15 tff(12797,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 49.20/32.15 tff(12798,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12797])).
% 49.20/32.15 tff(12799,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12798, 12794])).
% 49.20/32.15 tff(12800,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12801,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12802,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12801, 12800])).
% 49.20/32.15 tff(12803,plain,
% 49.20/32.15 (v13(constB102)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12802, 12799, 12792])).
% 49.20/32.15 tff(12804,plain,
% 49.20/32.15 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12805,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 49.20/32.15 tff(12806,plain,
% 49.20/32.15 (nextState(constB101, constB102)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 49.20/32.15 tff(12807,plain,
% 49.20/32.15 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12808,plain,
% 49.20/32.15 (![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)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12807])).
% 49.20/32.15 tff(12809,plain,
% 49.20/32.15 (![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)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12810,plain,
% 49.20/32.15 (^[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)))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12811,plain,
% 49.20/32.15 (![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)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12810])).
% 49.20/32.15 tff(12812,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_20_2')).
% 49.20/32.15 tff(12813,plain,
% 49.20/32.15 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 49.20/32.15 tff(12814,plain,
% 49.20/32.15 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12813, 12809])).
% 49.20/32.15 tff(12815,plain,(
% 49.20/32.15 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12814])).
% 49.20/32.15 tff(12816,plain,
% 49.20/32.15 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12815, 12808])).
% 49.20/32.15 tff(12817,plain,
% 49.20/32.15 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12818,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12819,plain,
% 49.20/32.15 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 49.20/32.15 tff(12820,plain,
% 49.20/32.15 (v9(constB101) | (~v13(constB102))),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12819, 12816, 12806])).
% 49.20/32.15 tff(12821,plain,
% 49.20/32.15 (v9(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12820, 12803])).
% 49.20/32.15 tff(12822,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12823,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12822])).
% 49.20/32.15 tff(12824,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12825,plain,
% 49.20/32.15 (^[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))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12826,plain,
% 49.20/32.15 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12825])).
% 49.20/32.15 tff(12827,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 49.20/32.15 tff(12828,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 49.20/32.15 tff(12829,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12828, 12824])).
% 49.20/32.15 tff(12830,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12829])).
% 49.20/32.15 tff(12831,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12830, 12823])).
% 49.20/32.15 tff(12832,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12833,plain,
% 49.20/32.15 ((v1(constB101) | (~v9(constB101)) | v64(constB101)) <=> (v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12834,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12833])).
% 49.20/32.15 tff(12835,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12834, 12832])).
% 49.20/32.15 tff(12836,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12837,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12836, 12835])).
% 49.20/32.15 tff(12838,plain,
% 49.20/32.15 (v64(constB101) | (~v9(constB101))),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12837, 12831, 12599])).
% 49.20/32.15 tff(12839,plain,
% 49.20/32.15 (v64(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12838, 12821])).
% 49.20/32.15 tff(12840,plain,
% 49.20/32.15 (^[VarNext: state_type] : refl(((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12841,plain,
% 49.20/32.15 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12840])).
% 49.20/32.15 tff(12842,plain,
% 49.20/32.15 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12843,plain,
% 49.20/32.15 (^[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)))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12844,plain,
% 49.20/32.15 (![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12843])).
% 49.20/32.15 tff(12845,axiom,(![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 49.20/32.15 tff(12846,plain,
% 49.20/32.15 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12845, 12844])).
% 49.20/32.15 tff(12847,plain,
% 49.20/32.15 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12846, 12842])).
% 49.20/32.15 tff(12848,plain,(
% 49.20/32.15 ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12847])).
% 49.20/32.15 tff(12849,plain,
% 49.20/32.15 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12848, 12841])).
% 49.20/32.15 tff(12850,plain,
% 49.20/32.15 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12851,plain,
% 49.20/32.15 (((~v64(constB101)) | v66(constB101) | (~v60(constB101))) <=> ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12852,plain,
% 49.20/32.15 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB101)) | v66(constB101) | (~v60(constB101)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101))))),
% 49.20/32.15 inference(monotonicity,[status(thm)],[12851])).
% 49.20/32.15 tff(12853,plain,
% 49.20/32.15 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB101)) | v66(constB101) | (~v60(constB101)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 49.20/32.15 inference(transitivity,[status(thm)],[12852, 12850])).
% 49.20/32.15 tff(12854,plain,
% 49.20/32.15 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB101)) | v66(constB101) | (~v60(constB101)))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12855,plain,
% 49.20/32.15 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 49.20/32.15 tff(12856,plain,
% 49.20/32.15 ((~v60(constB101)) | v66(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12855, 12849, 12839])).
% 49.20/32.15 tff(12857,plain,
% 49.20/32.15 (~v60(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12856, 12749])).
% 49.20/32.15 tff(12858,assumption,(v71(constB101)), introduced(assumption)).
% 49.20/32.15 tff(12859,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12860,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12859])).
% 49.20/32.15 tff(12861,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12862,axiom,(![VarCurr: state_type] : (~v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 49.20/32.15 tff(12863,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v71(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12862, 12861])).
% 49.20/32.15 tff(12864,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (~v71(VarCurr))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12863])).
% 49.20/32.15 tff(12865,plain,
% 49.20/32.15 (![VarCurr: state_type] : (~v71(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12864, 12860])).
% 49.20/32.15 tff(12866,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12867,plain,
% 49.20/32.15 ($false),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12866, 12865, 12858])).
% 49.20/32.15 tff(12868,plain,(~v71(constB101)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.15 tff(12869,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl(((~v9(VarCurr)) | v80(VarCurr)) <=> ((~v9(VarCurr)) | v80(VarCurr)))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12870,plain,
% 49.20/32.15 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12869])).
% 49.20/32.15 tff(12871,plain,
% 49.20/32.15 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12872,axiom,(![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 49.20/32.15 tff(12873,plain,
% 49.20/32.15 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12872, 12871])).
% 49.20/32.15 tff(12874,plain,(
% 49.20/32.15 ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12873])).
% 49.20/32.15 tff(12875,plain,
% 49.20/32.15 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12874, 12870])).
% 49.20/32.15 tff(12876,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB101)) | v80(constB101))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB101)) | v80(constB101))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12877,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB101)) | v80(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12878,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB101)) | v80(constB101)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 49.20/32.15 tff(12879,plain,
% 49.20/32.15 (v80(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12878, 12875, 12821])).
% 49.20/32.15 tff(12880,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12881,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12880])).
% 49.20/32.15 tff(12882,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12883,axiom,(![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 49.20/32.15 tff(12884,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 49.20/32.15 tff(12885,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12884])).
% 49.20/32.15 tff(12886,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12885, 12881])).
% 49.20/32.15 tff(12887,plain,
% 49.20/32.15 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12888,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))),
% 49.20/32.15 inference(quant_inst,[status(thm)],[])).
% 49.20/32.15 tff(12889,plain,
% 49.20/32.15 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101)),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12888, 12887])).
% 49.20/32.15 tff(12890,plain,
% 49.20/32.15 (v78(constB101)),
% 49.20/32.15 inference(unit_resolution,[status(thm)],[12889, 12886, 12599])).
% 49.20/32.15 tff(12891,plain,
% 49.20/32.15 (^[VarCurr: state_type] : refl((v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12892,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12891])).
% 49.20/32.15 tff(12893,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 49.20/32.15 inference(rewrite,[status(thm)],[])).
% 49.20/32.15 tff(12894,plain,
% 49.20/32.15 (^[VarCurr: state_type] : rewrite((((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 49.20/32.15 inference(bind,[status(th)],[])).
% 49.20/32.15 tff(12895,plain,
% 49.20/32.15 (![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 49.20/32.15 inference(quant_intro,[status(thm)],[12894])).
% 49.20/32.15 tff(12896,axiom,(![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 49.20/32.15 tff(12897,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 49.20/32.15 tff(12898,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 49.20/32.15 inference(modus_ponens,[status(thm)],[12897, 12893])).
% 49.20/32.15 tff(12899,plain,(
% 49.20/32.15 ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 49.20/32.15 inference(skolemize,[status(sab)],[12898])).
% 49.20/32.15 tff(12900,plain,
% 49.20/32.15 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12899, 12892])).
% 49.20/32.16 tff(12901,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB101) | (~v80(constB101)) | (~v78(constB101)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB101) | (~v80(constB101)) | (~v78(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12902,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB101) | (~v80(constB101)) | (~v78(constB101)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12903,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB101) | (~v80(constB101)) | (~v78(constB101))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12902, 12901])).
% 49.20/32.16 tff(12904,plain,
% 49.20/32.16 (v76(constB101) | (~v80(constB101))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12903, 12900, 12890])).
% 49.20/32.16 tff(12905,plain,
% 49.20/32.16 (v76(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12904, 12879])).
% 49.20/32.16 tff(12906,plain,
% 49.20/32.16 (^[VarCurr: state_type] : refl((v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 49.20/32.16 inference(bind,[status(th)],[])).
% 49.20/32.16 tff(12907,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 49.20/32.16 inference(quant_intro,[status(thm)],[12906])).
% 49.20/32.16 tff(12908,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12909,plain,
% 49.20/32.16 (^[VarCurr: state_type] : rewrite((((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 49.20/32.16 inference(bind,[status(th)],[])).
% 49.20/32.16 tff(12910,plain,
% 49.20/32.16 (![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 49.20/32.16 inference(quant_intro,[status(thm)],[12909])).
% 49.20/32.16 tff(12911,axiom,(![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 49.20/32.16 tff(12912,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 49.20/32.16 tff(12913,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12912, 12908])).
% 49.20/32.16 tff(12914,plain,(
% 49.20/32.16 ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 49.20/32.16 inference(skolemize,[status(sab)],[12913])).
% 49.20/32.16 tff(12915,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12914, 12907])).
% 49.20/32.16 tff(12916,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB101)) | (~v72(constB101)) | v71(constB101))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12917,plain,
% 49.20/32.16 ((v71(constB101) | (~v76(constB101)) | (~v72(constB101))) <=> ((~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12918,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB101) | (~v76(constB101)) | (~v72(constB101)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB101)) | (~v72(constB101)) | v71(constB101)))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[12917])).
% 49.20/32.16 tff(12919,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB101) | (~v76(constB101)) | (~v72(constB101)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 49.20/32.16 inference(transitivity,[status(thm)],[12918, 12916])).
% 49.20/32.16 tff(12920,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB101) | (~v76(constB101)) | (~v72(constB101)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12921,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 49.20/32.16 tff(12922,plain,
% 49.20/32.16 ((~v72(constB101)) | v71(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12921, 12915, 12905])).
% 49.20/32.16 tff(12923,plain,
% 49.20/32.16 (~v72(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12922, 12868])).
% 49.20/32.16 tff(12924,plain,
% 49.20/32.16 (^[VarCurr: state_type] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 49.20/32.16 inference(bind,[status(th)],[])).
% 49.20/32.16 tff(12925,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.20/32.16 inference(quant_intro,[status(thm)],[12924])).
% 49.20/32.16 tff(12926,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12927,plain,
% 49.20/32.16 (^[VarCurr: state_type] : rewrite(((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 49.20/32.16 inference(bind,[status(th)],[])).
% 49.20/32.16 tff(12928,plain,
% 49.20/32.16 (![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.20/32.16 inference(quant_intro,[status(thm)],[12927])).
% 49.20/32.16 tff(12929,axiom,(![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 49.20/32.16 tff(12930,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 49.20/32.16 tff(12931,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12930, 12926])).
% 49.20/32.16 tff(12932,plain,(
% 49.20/32.16 ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.20/32.16 inference(skolemize,[status(sab)],[12931])).
% 49.20/32.16 tff(12933,plain,
% 49.20/32.16 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12932, 12925])).
% 49.20/32.16 tff(12934,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12935,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12936,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12935, 12934])).
% 49.20/32.16 tff(12937,plain,
% 49.20/32.16 (v72(constB101) | v74(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12936, 12933, 12599])).
% 49.20/32.16 tff(12938,plain,
% 49.20/32.16 (v74(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12937, 12923])).
% 49.20/32.16 tff(12939,plain,
% 49.20/32.16 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 49.20/32.16 inference(bind,[status(th)],[])).
% 49.20/32.16 tff(12940,plain,
% 49.20/32.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.20/32.16 inference(quant_intro,[status(thm)],[12939])).
% 49.20/32.16 tff(12941,plain,
% 49.20/32.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12942,plain,
% 49.20/32.16 (^[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)))))),
% 49.20/32.16 inference(bind,[status(th)],[])).
% 49.20/32.16 tff(12943,plain,
% 49.20/32.16 (![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.20/32.16 inference(quant_intro,[status(thm)],[12942])).
% 49.20/32.16 tff(12944,axiom,(![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 49.20/32.16 tff(12945,plain,
% 49.20/32.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 49.20/32.16 tff(12946,plain,
% 49.20/32.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12945, 12941])).
% 49.20/32.16 tff(12947,plain,(
% 49.20/32.16 ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.20/32.16 inference(skolemize,[status(sab)],[12946])).
% 49.20/32.16 tff(12948,plain,
% 49.20/32.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12947, 12940])).
% 49.20/32.16 tff(12949,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12950,plain,
% 49.20/32.16 (((~v26(constB101)) | v60(constB101) | (~v74(constB101))) <=> (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12951,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[12950])).
% 49.20/32.16 tff(12952,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 49.20/32.16 inference(transitivity,[status(thm)],[12951, 12949])).
% 49.20/32.16 tff(12953,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12954,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 49.20/32.16 tff(12955,plain,
% 49.20/32.16 (v60(constB101) | (~v26(constB101))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12954, 12948, 12938])).
% 49.20/32.16 tff(12956,plain,
% 49.20/32.16 (~v26(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12955, 12857])).
% 49.20/32.16 tff(12957,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12958,plain,
% 49.20/32.16 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12959,plain,
% 49.20/32.16 (((~![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) | v112(constB101) | (~v113(constB101))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[12958])).
% 49.20/32.16 tff(12960,plain,
% 49.20/32.16 (((~![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) | v112(constB101) | (~v113(constB101)))),
% 49.20/32.16 inference(transitivity,[status(thm)],[12959, 12957])).
% 49.20/32.16 tff(12961,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12962,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12961, 12960])).
% 49.20/32.16 tff(12963,plain,
% 49.20/32.16 (v112(constB101) | (~v113(constB101))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12962, 280, 12956])).
% 49.20/32.16 tff(12964,plain,
% 49.20/32.16 (v112(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12963, 12727])).
% 49.20/32.16 tff(12965,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12966,plain,
% 49.20/32.16 (((~v112(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v112(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12967,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[12966])).
% 49.20/32.16 tff(12968,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 49.20/32.16 inference(transitivity,[status(thm)],[12967, 12965])).
% 49.20/32.16 tff(12969,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12970,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12969, 12968])).
% 49.20/32.16 tff(12971,plain,
% 49.20/32.16 (v108(constB101)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12970, 292, 12964])).
% 49.20/32.16 tff(12972,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12973,plain,
% 49.20/32.16 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12974,plain,
% 49.20/32.16 (((~![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))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[12973])).
% 49.20/32.16 tff(12975,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(transitivity,[status(thm)],[12974, 12972])).
% 49.20/32.16 tff(12976,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12977,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12976, 12975])).
% 49.20/32.16 tff(12978,plain,
% 49.20/32.16 (v110(constB102) | (~v108(constB101))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12977, 312, 12806])).
% 49.20/32.16 tff(12979,plain,
% 49.20/32.16 (v110(constB102)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12978, 12971])).
% 49.20/32.16 tff(12980,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12981,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12982,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12981, 12980])).
% 49.20/32.16 tff(12983,plain,
% 49.20/32.16 (~v104(constB102)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12982, 330, 12806, 12599])).
% 49.20/32.16 tff(12984,plain,
% 49.20/32.16 (((~![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)) | v102(constB102) | v104(constB102))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12985,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12986,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12985, 12984])).
% 49.20/32.16 tff(12987,plain,
% 49.20/32.16 (v102(constB102) | v104(constB102)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12986, 344, 12806])).
% 49.20/32.16 tff(12988,plain,
% 49.20/32.16 (v102(constB102)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12987, 12983])).
% 49.20/32.16 tff(12989,plain,
% 49.20/32.16 (((~![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)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12990,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12991,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 49.20/32.16 tff(12992,plain,
% 49.20/32.16 (v101(constB102) | (~v102(constB102))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12991, 362, 12806, 12763])).
% 49.20/32.16 tff(12993,plain,
% 49.20/32.16 (v101(constB102)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12992, 12988])).
% 49.20/32.16 tff(12994,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12995,plain,
% 49.20/32.16 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(12996,plain,
% 49.20/32.16 (((~![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))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[12995])).
% 49.20/32.16 tff(12997,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(transitivity,[status(thm)],[12996, 12994])).
% 49.20/32.16 tff(12998,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(12999,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 49.20/32.16 tff(13000,plain,
% 49.20/32.16 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[12999, 377, 12806])).
% 49.20/32.16 tff(13001,plain,
% 49.20/32.16 (v100(constB102) | (~v110(constB102))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13000, 12993])).
% 49.20/32.16 tff(13002,plain,
% 49.20/32.16 (v100(constB102)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13001, 12979])).
% 49.20/32.16 tff(13003,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13004,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13005,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13004, 13003])).
% 49.20/32.16 tff(13006,plain,
% 49.20/32.16 (~v130(constB101, 2)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13005, 1090, 12695])).
% 49.20/32.16 tff(13007,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13008,plain,
% 49.20/32.16 ((v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2))) <=> ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13009,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[13008])).
% 49.20/32.16 tff(13010,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 49.20/32.16 inference(transitivity,[status(thm)],[13009, 13007])).
% 49.20/32.16 tff(13011,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13012,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13011, 13010])).
% 49.20/32.16 tff(13013,plain,
% 49.20/32.16 ((~v127(constB101, 2)) | v130(constB101, 2)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13012, 593, 12956])).
% 49.20/32.16 tff(13014,plain,
% 49.20/32.16 (~v127(constB101, 2)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13013, 13006])).
% 49.20/32.16 tff(13015,plain,
% 49.20/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13016,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13017,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 49.20/32.16 tff(13018,plain,
% 49.20/32.16 (v127(constB101, 2) | (~v129(constB102, 2))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13017, 611, 12806])).
% 49.20/32.16 tff(13019,plain,
% 49.20/32.16 (~v129(constB102, 2)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13018, 13014])).
% 49.20/32.16 tff(13020,plain,
% 49.20/32.16 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13021,plain,
% 49.20/32.16 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13022,plain,
% 49.20/32.16 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 49.20/32.16 tff(13023,plain,
% 49.20/32.16 ((~v90(constB102, 2)) | (~v100(constB102))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13022, 626, 13019])).
% 49.20/32.16 tff(13024,plain,
% 49.20/32.16 (~v90(constB102, 2)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13023, 13002])).
% 49.20/32.16 tff(13025,plain,
% 49.20/32.16 ((~v1(constB103)) <=> (~v1(constB103))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13026,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 49.20/32.16 tff(13027,plain,
% 49.20/32.16 (~v1(constB103)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13026, 13025])).
% 49.20/32.16 tff(13028,plain,
% 49.20/32.16 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13029,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 49.20/32.16 tff(13030,plain,
% 49.20/32.16 (nextState(constB102, constB103)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 49.20/32.16 tff(13031,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13032,plain,
% 49.20/32.16 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13033,plain,
% 49.20/32.16 (((~![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))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[13032])).
% 49.20/32.16 tff(13034,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(transitivity,[status(thm)],[13033, 13031])).
% 49.20/32.16 tff(13035,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13036,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13035, 13034])).
% 49.20/32.16 tff(13037,plain,
% 49.20/32.16 (~v101(constB103)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13036, 90, 13030, 13027])).
% 49.20/32.16 tff(13038,plain,
% 49.20/32.16 (((~![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)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13039,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13040,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13039, 13038])).
% 49.20/32.16 tff(13041,plain,
% 49.20/32.16 (v101(constB103) | (~v100(constB103))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13040, 107, 13030])).
% 49.20/32.16 tff(13042,plain,
% 49.20/32.16 (~v100(constB103)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13041, 13037])).
% 49.20/32.16 tff(13043,plain,
% 49.20/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13044,plain,
% 49.20/32.16 (((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))) <=> (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13045,plain,
% 49.20/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[13044])).
% 49.20/32.16 tff(13046,plain,
% 49.20/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 49.20/32.16 inference(transitivity,[status(thm)],[13045, 13043])).
% 49.20/32.16 tff(13047,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13048,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13047, 13046])).
% 49.20/32.16 tff(13049,plain,
% 49.20/32.16 (v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13048, 122, 13030])).
% 49.20/32.16 tff(13050,plain,
% 49.20/32.16 (v90(constB102, 2) | (~v90(constB103, 2))),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13049, 13042])).
% 49.20/32.16 tff(13051,plain,
% 49.20/32.16 (~v90(constB103, 2)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13050, 13024])).
% 49.20/32.16 tff(13052,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13053,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13054,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13053, 13052])).
% 49.20/32.16 tff(13055,plain,
% 49.20/32.16 (v130(constB101, 0)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13054, 1184, 12695])).
% 49.20/32.16 tff(13056,plain,
% 49.20/32.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13057,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13058,plain,
% 49.20/32.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 49.20/32.16 tff(13059,plain,
% 49.20/32.16 ((~v130(constB101, 0)) | v127(constB101, 0)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13058, 515, 12956])).
% 49.20/32.16 tff(13060,plain,
% 49.20/32.16 (v127(constB101, 0)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13059, 13055])).
% 49.20/32.16 tff(13061,plain,
% 49.20/32.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13062,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 49.20/32.16 inference(quant_inst,[status(thm)],[])).
% 49.20/32.16 tff(13063,plain,
% 49.20/32.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0)),
% 49.20/32.16 inference(modus_ponens,[status(thm)],[13062, 13061])).
% 49.20/32.16 tff(13064,plain,
% 49.20/32.16 ((~v127(constB101, 0)) | v129(constB102, 0)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13063, 530, 12806])).
% 49.20/32.16 tff(13065,plain,
% 49.20/32.16 (v129(constB102, 0)),
% 49.20/32.16 inference(unit_resolution,[status(thm)],[13064, 13060])).
% 49.20/32.16 tff(13066,plain,
% 49.20/32.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13067,plain,
% 49.20/32.16 ((v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0))) <=> (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 49.20/32.16 inference(rewrite,[status(thm)],[])).
% 49.20/32.16 tff(13068,plain,
% 49.20/32.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))))),
% 49.20/32.16 inference(monotonicity,[status(thm)],[13067])).
% 49.20/32.16 tff(13069,plain,
% 49.20/32.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13068, 13066])).
% 49.20/32.17 tff(13070,plain,
% 49.20/32.17 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13071,plain,
% 49.20/32.17 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 49.20/32.17 tff(13072,plain,
% 49.20/32.17 (v90(constB102, 0) | (~v100(constB102))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13071, 545, 13065])).
% 49.20/32.17 tff(13073,plain,
% 49.20/32.17 (v90(constB102, 0)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13072, 13002])).
% 49.20/32.17 tff(13074,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13075,plain,
% 49.20/32.17 (((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)) <=> ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13076,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13075])).
% 49.20/32.17 tff(13077,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13076, 13074])).
% 49.20/32.17 tff(13078,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13079,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 49.20/32.17 tff(13080,plain,
% 49.20/32.17 ((~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13079, 563, 13030])).
% 49.20/32.17 tff(13081,plain,
% 49.20/32.17 ((~v90(constB102, 0)) | v90(constB103, 0)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13080, 13042])).
% 49.20/32.17 tff(13082,plain,
% 49.20/32.17 (v90(constB103, 0)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13081, 13073])).
% 49.20/32.17 tff(13083,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13084,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13085,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13084, 13083])).
% 49.20/32.17 tff(13086,plain,
% 49.20/32.17 (v130(constB101, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13085, 1146, 12695])).
% 49.20/32.17 tff(13087,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13088,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13089,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 49.20/32.17 tff(13090,plain,
% 49.20/32.17 ((~v130(constB101, 1)) | v127(constB101, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13089, 852, 12956])).
% 49.20/32.17 tff(13091,plain,
% 49.20/32.17 (v127(constB101, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13090, 13086])).
% 49.20/32.17 tff(13092,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13093,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13094,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13093, 13092])).
% 49.20/32.17 tff(13095,plain,
% 49.20/32.17 ((~v127(constB101, 1)) | v129(constB102, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13094, 867, 12806])).
% 49.20/32.17 tff(13096,plain,
% 49.20/32.17 (v129(constB102, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13095, 13091])).
% 49.20/32.17 tff(13097,plain,
% 49.20/32.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13098,plain,
% 49.20/32.17 ((v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1))) <=> (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13099,plain,
% 49.20/32.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13098])).
% 49.20/32.17 tff(13100,plain,
% 49.20/32.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13099, 13097])).
% 49.20/32.17 tff(13101,plain,
% 49.20/32.17 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13102,plain,
% 49.20/32.17 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 49.20/32.17 tff(13103,plain,
% 49.20/32.17 (v90(constB102, 1) | (~v100(constB102))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13102, 882, 13096])).
% 49.20/32.17 tff(13104,plain,
% 49.20/32.17 (v90(constB102, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13103, 13002])).
% 49.20/32.17 tff(13105,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13106,plain,
% 49.20/32.17 (((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)) <=> ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13107,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13106])).
% 49.20/32.17 tff(13108,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13107, 13105])).
% 49.20/32.17 tff(13109,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13110,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13109, 13108])).
% 49.20/32.17 tff(13111,plain,
% 49.20/32.17 ((~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13110, 900, 13030])).
% 49.20/32.17 tff(13112,plain,
% 49.20/32.17 ((~v90(constB102, 1)) | v90(constB103, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13111, 13042])).
% 49.20/32.17 tff(13113,plain,
% 49.20/32.17 (v90(constB103, 1)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13112, 13104])).
% 49.20/32.17 tff(13114,assumption,(~v122(constB103)), introduced(assumption)).
% 49.20/32.17 tff(13115,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13116,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13117,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13116, 13115])).
% 49.20/32.17 tff(13118,plain,
% 49.20/32.17 ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13117, 1225, 13114])).
% 49.20/32.17 tff(13119,plain,
% 49.20/32.17 ($false),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13118, 13113, 13082, 13051])).
% 49.20/32.17 tff(13120,plain,((~v121(constB101)) | v122(constB103)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.17 tff(13121,plain,
% 49.20/32.17 (v122(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13120, 12694])).
% 49.20/32.17 tff(13122,assumption,(v122(constB103)), introduced(assumption)).
% 49.20/32.17 tff(13123,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13124,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13125,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13124, 13123])).
% 49.20/32.17 tff(13126,plain,
% 49.20/32.17 (v116(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13125, 1236, 13122])).
% 49.20/32.17 tff(13127,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB103)) | v115(constB103))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13128,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13129,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB103)) | v115(constB103)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13128, 13127])).
% 49.20/32.17 tff(13130,plain,
% 49.20/32.17 (v115(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13129, 238, 13126])).
% 49.20/32.17 tff(13131,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13132,plain,
% 49.20/32.17 (((~v115(constB103)) | v114(constB103)) <=> (v114(constB103) | (~v115(constB103)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13133,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13132])).
% 49.20/32.17 tff(13134,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13133, 13131])).
% 49.20/32.17 tff(13135,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13136,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13135, 13134])).
% 49.20/32.17 tff(13137,plain,
% 49.20/32.17 (v114(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13136, 252, 13130])).
% 49.20/32.17 tff(13138,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13139,plain,
% 49.20/32.17 (((~v114(constB103)) | v113(constB103)) <=> (v113(constB103) | (~v114(constB103)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13140,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13139])).
% 49.20/32.17 tff(13141,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13140, 13138])).
% 49.20/32.17 tff(13142,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13143,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13142, 13141])).
% 49.20/32.17 tff(13144,plain,
% 49.20/32.17 (v113(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13143, 266, 13137])).
% 49.20/32.17 tff(13145,assumption,(v26(constB103)), introduced(assumption)).
% 49.20/32.17 tff(13146,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13147,plain,
% 49.20/32.17 ($false),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13146, 43, 13145])).
% 49.20/32.17 tff(13148,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.17 tff(13149,plain,
% 49.20/32.17 (((~![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) | (~v113(constB103)) | v112(constB103))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13150,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13151,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13150, 13149])).
% 49.20/32.17 tff(13152,plain,
% 49.20/32.17 ((~v113(constB103)) | v112(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13151, 280, 13148])).
% 49.20/32.17 tff(13153,plain,
% 49.20/32.17 (v112(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13152, 13144])).
% 49.20/32.17 tff(13154,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13155,plain,
% 49.20/32.17 (((~v112(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v112(constB103)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13156,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13155])).
% 49.20/32.17 tff(13157,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13156, 13154])).
% 49.20/32.17 tff(13158,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13159,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13158, 13157])).
% 49.20/32.17 tff(13160,plain,
% 49.20/32.17 (v108(constB103)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13159, 292, 13153])).
% 49.20/32.17 tff(13161,plain,
% 49.20/32.17 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13162,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 49.20/32.17 tff(13163,plain,
% 49.20/32.17 (nextState(constB103, constB104)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 49.20/32.17 tff(13164,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13165,plain,
% 49.20/32.17 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13166,plain,
% 49.20/32.17 (((~![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))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13165])).
% 49.20/32.17 tff(13167,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13166, 13164])).
% 49.20/32.17 tff(13168,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13169,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13168, 13167])).
% 49.20/32.17 tff(13170,plain,
% 49.20/32.17 (v110(constB104) | (~v108(constB103))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13169, 312, 13163])).
% 49.20/32.17 tff(13171,plain,
% 49.20/32.17 (v110(constB104)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13170, 13160])).
% 49.20/32.17 tff(13172,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13173,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13174,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13173, 13172])).
% 49.20/32.17 tff(13175,plain,
% 49.20/32.17 (~v104(constB104)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13174, 330, 13163, 13027])).
% 49.20/32.17 tff(13176,plain,
% 49.20/32.17 (((~![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)) | v102(constB104) | v104(constB104))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13177,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13178,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13177, 13176])).
% 49.20/32.17 tff(13179,plain,
% 49.20/32.17 (v102(constB104) | v104(constB104)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13178, 344, 13163])).
% 49.20/32.17 tff(13180,plain,
% 49.20/32.17 (v102(constB104)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13179, 13175])).
% 49.20/32.17 tff(13181,plain,
% 49.20/32.17 (v1(constB104) <=> v1(constB104)),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13182,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 49.20/32.17 tff(13183,plain,
% 49.20/32.17 (v1(constB104)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13182, 13181])).
% 49.20/32.17 tff(13184,plain,
% 49.20/32.17 (((~![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)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13185,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13186,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 49.20/32.17 tff(13187,plain,
% 49.20/32.17 (v101(constB104) | (~v102(constB104))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13186, 362, 13163, 13183])).
% 49.20/32.17 tff(13188,plain,
% 49.20/32.17 (v101(constB104)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13187, 13180])).
% 49.20/32.17 tff(13189,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13190,plain,
% 49.20/32.17 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13191,plain,
% 49.20/32.17 (((~![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))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13190])).
% 49.20/32.17 tff(13192,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13191, 13189])).
% 49.20/32.17 tff(13193,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13194,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 49.20/32.17 tff(13195,plain,
% 49.20/32.17 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13194, 377, 13163])).
% 49.20/32.17 tff(13196,plain,
% 49.20/32.17 (v100(constB104) | (~v110(constB104))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13195, 13188])).
% 49.20/32.17 tff(13197,plain,
% 49.20/32.17 (v100(constB104)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13196, 13171])).
% 49.20/32.17 tff(13198,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13199,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13200,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13199, 13198])).
% 49.20/32.17 tff(13201,plain,
% 49.20/32.17 (v130(constB103, 2)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13200, 1314, 13122])).
% 49.20/32.17 tff(13202,plain,
% 49.20/32.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13203,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13204,plain,
% 49.20/32.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 49.20/32.17 tff(13205,plain,
% 49.20/32.17 ((~v130(constB103, 2)) | v127(constB103, 2)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13204, 1328, 13148])).
% 49.20/32.17 tff(13206,plain,
% 49.20/32.17 (v127(constB103, 2)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13205, 13201])).
% 49.20/32.17 tff(13207,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13208,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13209,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 49.20/32.17 tff(13210,plain,
% 49.20/32.17 ((~v127(constB103, 2)) | v129(constB104, 2)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13209, 1343, 13163])).
% 49.20/32.17 tff(13211,plain,
% 49.20/32.17 (v129(constB104, 2)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13210, 13206])).
% 49.20/32.17 tff(13212,plain,
% 49.20/32.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13213,plain,
% 49.20/32.17 ((v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2))) <=> (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13214,plain,
% 49.20/32.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13213])).
% 49.20/32.17 tff(13215,plain,
% 49.20/32.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13214, 13212])).
% 49.20/32.17 tff(13216,plain,
% 49.20/32.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13217,plain,
% 49.20/32.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 49.20/32.17 tff(13218,plain,
% 49.20/32.17 (v90(constB104, 2) | (~v100(constB104))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13217, 1358, 13211])).
% 49.20/32.17 tff(13219,plain,
% 49.20/32.17 (v90(constB104, 2)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13218, 13197])).
% 49.20/32.17 tff(13220,plain,
% 49.20/32.17 ((~v1(constB105)) <=> (~v1(constB105))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13221,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 49.20/32.17 tff(13222,plain,
% 49.20/32.17 (~v1(constB105)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13221, 13220])).
% 49.20/32.17 tff(13223,plain,
% 49.20/32.17 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13224,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 49.20/32.17 tff(13225,plain,
% 49.20/32.17 (nextState(constB104, constB105)),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 49.20/32.17 tff(13226,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13227,plain,
% 49.20/32.17 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13228,plain,
% 49.20/32.17 (((~![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))))),
% 49.20/32.17 inference(monotonicity,[status(thm)],[13227])).
% 49.20/32.17 tff(13229,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(transitivity,[status(thm)],[13228, 13226])).
% 49.20/32.17 tff(13230,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13231,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 49.20/32.17 tff(13232,plain,
% 49.20/32.17 (~v101(constB105)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13231, 90, 13225, 13222])).
% 49.20/32.17 tff(13233,plain,
% 49.20/32.17 (((~![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)))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13234,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 49.20/32.17 inference(quant_inst,[status(thm)],[])).
% 49.20/32.17 tff(13235,plain,
% 49.20/32.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 49.20/32.17 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 49.20/32.17 tff(13236,plain,
% 49.20/32.17 (v101(constB105) | (~v100(constB105))),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13235, 107, 13225])).
% 49.20/32.17 tff(13237,plain,
% 49.20/32.17 (~v100(constB105)),
% 49.20/32.17 inference(unit_resolution,[status(thm)],[13236, 13232])).
% 49.20/32.17 tff(13238,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13239,plain,
% 49.20/32.17 (((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)) <=> ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 49.20/32.17 inference(rewrite,[status(thm)],[])).
% 49.20/32.17 tff(13240,plain,
% 49.20/32.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13239])).
% 49.20/32.18 tff(13241,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13240, 13238])).
% 49.20/32.18 tff(13242,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13243,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13242, 13241])).
% 49.20/32.18 tff(13244,plain,
% 49.20/32.18 ((~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13243, 1394, 13225])).
% 49.20/32.18 tff(13245,plain,
% 49.20/32.18 ((~v90(constB104, 2)) | v90(constB105, 2)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13244, 13237])).
% 49.20/32.18 tff(13246,plain,
% 49.20/32.18 (v90(constB105, 2)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13245, 13219])).
% 49.20/32.18 tff(13247,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13248,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13249,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 49.20/32.18 tff(13250,plain,
% 49.20/32.18 (~v130(constB103, 0)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13249, 1451, 13122])).
% 49.20/32.18 tff(13251,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13252,plain,
% 49.20/32.18 ((v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0))) <=> ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13253,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13252])).
% 49.20/32.18 tff(13254,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13253, 13251])).
% 49.20/32.18 tff(13255,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13256,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 49.20/32.18 tff(13257,plain,
% 49.20/32.18 ((~v127(constB103, 0)) | v130(constB103, 0)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13256, 930, 13148])).
% 49.20/32.18 tff(13258,plain,
% 49.20/32.18 (~v127(constB103, 0)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13257, 13250])).
% 49.20/32.18 tff(13259,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13260,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13261,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 49.20/32.18 tff(13262,plain,
% 49.20/32.18 (v127(constB103, 0) | (~v129(constB104, 0))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13261, 948, 13163])).
% 49.20/32.18 tff(13263,plain,
% 49.20/32.18 (~v129(constB104, 0)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13262, 13258])).
% 49.20/32.18 tff(13264,plain,
% 49.20/32.18 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13265,plain,
% 49.20/32.18 (((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0)) <=> ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13266,plain,
% 49.20/32.18 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13265])).
% 49.20/32.18 tff(13267,plain,
% 49.20/32.18 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13266, 13264])).
% 49.20/32.18 tff(13268,plain,
% 49.20/32.18 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13269,plain,
% 49.20/32.18 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13268, 13267])).
% 49.20/32.18 tff(13270,plain,
% 49.20/32.18 ((~v90(constB104, 0)) | (~v100(constB104))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13269, 963, 13263])).
% 49.20/32.18 tff(13271,plain,
% 49.20/32.18 (~v90(constB104, 0)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13270, 13197])).
% 49.20/32.18 tff(13272,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13273,plain,
% 49.20/32.18 (((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))) <=> (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13274,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13273])).
% 49.20/32.18 tff(13275,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13274, 13272])).
% 49.20/32.18 tff(13276,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13277,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13276, 13275])).
% 49.20/32.18 tff(13278,plain,
% 49.20/32.18 (v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13277, 164, 13225])).
% 49.20/32.18 tff(13279,plain,
% 49.20/32.18 (v90(constB104, 0) | (~v90(constB105, 0))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13278, 13237])).
% 49.20/32.18 tff(13280,plain,
% 49.20/32.18 (~v90(constB105, 0)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13279, 13271])).
% 49.20/32.18 tff(13281,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13282,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13283,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13282, 13281])).
% 49.20/32.18 tff(13284,plain,
% 49.20/32.18 (~v130(constB103, 1)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13283, 1410, 13122])).
% 49.20/32.18 tff(13285,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13286,plain,
% 49.20/32.18 ((v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1))) <=> ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13287,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13286])).
% 49.20/32.18 tff(13288,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13287, 13285])).
% 49.20/32.18 tff(13289,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13290,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13289, 13288])).
% 49.20/32.18 tff(13291,plain,
% 49.20/32.18 ((~v127(constB103, 1)) | v130(constB103, 1)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13290, 408, 13148])).
% 49.20/32.18 tff(13292,plain,
% 49.20/32.18 (~v127(constB103, 1)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13291, 13284])).
% 49.20/32.18 tff(13293,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13294,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13295,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13294, 13293])).
% 49.20/32.18 tff(13296,plain,
% 49.20/32.18 (v127(constB103, 1) | (~v129(constB104, 1))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13295, 438, 13163])).
% 49.20/32.18 tff(13297,plain,
% 49.20/32.18 (~v129(constB104, 1)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13296, 13292])).
% 49.20/32.18 tff(13298,plain,
% 49.20/32.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13299,plain,
% 49.20/32.18 (((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1)) <=> ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13300,plain,
% 49.20/32.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13299])).
% 49.20/32.18 tff(13301,plain,
% 49.20/32.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13300, 13298])).
% 49.20/32.18 tff(13302,plain,
% 49.20/32.18 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13303,plain,
% 49.20/32.18 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13302, 13301])).
% 49.20/32.18 tff(13304,plain,
% 49.20/32.18 ((~v90(constB104, 1)) | (~v100(constB104))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13303, 453, 13297])).
% 49.20/32.18 tff(13305,plain,
% 49.20/32.18 (~v90(constB104, 1)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13304, 13197])).
% 49.20/32.18 tff(13306,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13307,plain,
% 49.20/32.18 (((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))) <=> (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13308,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13307])).
% 49.20/32.18 tff(13309,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13308, 13306])).
% 49.20/32.18 tff(13310,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13311,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 49.20/32.18 tff(13312,plain,
% 49.20/32.18 (v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13311, 143, 13225])).
% 49.20/32.18 tff(13313,plain,
% 49.20/32.18 (v90(constB104, 1) | (~v90(constB105, 1))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13312, 13237])).
% 49.20/32.18 tff(13314,plain,
% 49.20/32.18 (~v90(constB105, 1)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13313, 13305])).
% 49.20/32.18 tff(13315,assumption,(~v123(constB105)), introduced(assumption)).
% 49.20/32.18 tff(13316,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13317,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13318,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13317, 13316])).
% 49.20/32.18 tff(13319,plain,
% 49.20/32.18 (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13318, 1495, 13315])).
% 49.20/32.18 tff(13320,plain,
% 49.20/32.18 ($false),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13319, 13314, 13280, 13246])).
% 49.20/32.18 tff(13321,plain,((~v122(constB103)) | v123(constB105)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.18 tff(13322,plain,
% 49.20/32.18 (v123(constB105)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13321, 13121])).
% 49.20/32.18 tff(13323,assumption,(v123(constB105)), introduced(assumption)).
% 49.20/32.18 tff(13324,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB105) | (~v123(constB105)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13325,plain,
% 49.20/32.18 (((~v123(constB105)) | v115(constB105)) <=> (v115(constB105) | (~v123(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13326,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB105) | (~v123(constB105))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13325])).
% 49.20/32.18 tff(13327,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13326, 13324])).
% 49.20/32.18 tff(13328,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13329,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13328, 13327])).
% 49.20/32.18 tff(13330,plain,
% 49.20/32.18 (v115(constB105)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13329, 1506, 13323])).
% 49.20/32.18 tff(13331,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13332,plain,
% 49.20/32.18 (((~v115(constB105)) | v114(constB105)) <=> (v114(constB105) | (~v115(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13333,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13332])).
% 49.20/32.18 tff(13334,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13333, 13331])).
% 49.20/32.18 tff(13335,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13336,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 49.20/32.18 tff(13337,plain,
% 49.20/32.18 (v114(constB105)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13336, 252, 13330])).
% 49.20/32.18 tff(13338,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v114(constB105)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13339,plain,
% 49.20/32.18 (((~v114(constB105)) | v113(constB105)) <=> (v113(constB105) | (~v114(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13340,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v114(constB105))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13339])).
% 49.20/32.18 tff(13341,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13340, 13338])).
% 49.20/32.18 tff(13342,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13343,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 49.20/32.18 tff(13344,plain,
% 49.20/32.18 (v113(constB105)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13343, 266, 13337])).
% 49.20/32.18 tff(13345,assumption,(v26(constB105)), introduced(assumption)).
% 49.20/32.18 tff(13346,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13347,plain,
% 49.20/32.18 ($false),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13346, 43, 13345])).
% 49.20/32.18 tff(13348,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.18 tff(13349,plain,
% 49.20/32.18 (((~![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) | (~v113(constB105)) | v112(constB105))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13350,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13351,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13350, 13349])).
% 49.20/32.18 tff(13352,plain,
% 49.20/32.18 ((~v113(constB105)) | v112(constB105)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13351, 280, 13348])).
% 49.20/32.18 tff(13353,plain,
% 49.20/32.18 (v112(constB105)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13352, 13344])).
% 49.20/32.18 tff(13354,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13355,plain,
% 49.20/32.18 (((~v112(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v112(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13356,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13355])).
% 49.20/32.18 tff(13357,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13356, 13354])).
% 49.20/32.18 tff(13358,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13359,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13358, 13357])).
% 49.20/32.18 tff(13360,plain,
% 49.20/32.18 (v108(constB105)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13359, 292, 13353])).
% 49.20/32.18 tff(13361,plain,
% 49.20/32.18 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13362,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 49.20/32.18 tff(13363,plain,
% 49.20/32.18 (nextState(constB105, constB106)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13362, 13361])).
% 49.20/32.18 tff(13364,plain,
% 49.20/32.18 (((~![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)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13365,plain,
% 49.20/32.18 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13366,plain,
% 49.20/32.18 (((~![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))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13365])).
% 49.20/32.18 tff(13367,plain,
% 49.20/32.18 (((~![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)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13366, 13364])).
% 49.20/32.18 tff(13368,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13369,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13368, 13367])).
% 49.20/32.18 tff(13370,plain,
% 49.20/32.18 (v110(constB106) | (~v108(constB105))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13369, 312, 13363])).
% 49.20/32.18 tff(13371,plain,
% 49.20/32.18 (v110(constB106)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13370, 13360])).
% 49.20/32.18 tff(13372,plain,
% 49.20/32.18 (((~![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)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13373,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13374,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 49.20/32.18 tff(13375,plain,
% 49.20/32.18 (~v104(constB106)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13374, 330, 13363, 13222])).
% 49.20/32.18 tff(13376,plain,
% 49.20/32.18 (((~![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)) | v102(constB106) | v104(constB106))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13377,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13378,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 49.20/32.18 tff(13379,plain,
% 49.20/32.18 (v102(constB106) | v104(constB106)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13378, 344, 13363])).
% 49.20/32.18 tff(13380,plain,
% 49.20/32.18 (v102(constB106)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13379, 13375])).
% 49.20/32.18 tff(13381,plain,
% 49.20/32.18 (v1(constB106) <=> v1(constB106)),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13382,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 49.20/32.18 tff(13383,plain,
% 49.20/32.18 (v1(constB106)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 49.20/32.18 tff(13384,plain,
% 49.20/32.18 (((~![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)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13385,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13386,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13385, 13384])).
% 49.20/32.18 tff(13387,plain,
% 49.20/32.18 (v101(constB106) | (~v102(constB106))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13386, 362, 13363, 13383])).
% 49.20/32.18 tff(13388,plain,
% 49.20/32.18 (v101(constB106)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13387, 13380])).
% 49.20/32.18 tff(13389,plain,
% 49.20/32.18 (((~![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)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13390,plain,
% 49.20/32.18 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13391,plain,
% 49.20/32.18 (((~![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))))),
% 49.20/32.18 inference(monotonicity,[status(thm)],[13390])).
% 49.20/32.18 tff(13392,plain,
% 49.20/32.18 (((~![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)))),
% 49.20/32.18 inference(transitivity,[status(thm)],[13391, 13389])).
% 49.20/32.18 tff(13393,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13394,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 49.20/32.18 tff(13395,plain,
% 49.20/32.18 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13394, 377, 13363])).
% 49.20/32.18 tff(13396,plain,
% 49.20/32.18 (v100(constB106) | (~v110(constB106))),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13395, 13388])).
% 49.20/32.18 tff(13397,plain,
% 49.20/32.18 (v100(constB106)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13396, 13371])).
% 49.20/32.18 tff(13398,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13399,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13400,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13399, 13398])).
% 49.20/32.18 tff(13401,plain,
% 49.20/32.18 (v130(constB105, 2)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13400, 1580, 13323])).
% 49.20/32.18 tff(13402,plain,
% 49.20/32.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13403,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 49.20/32.18 inference(quant_inst,[status(thm)],[])).
% 49.20/32.18 tff(13404,plain,
% 49.20/32.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2)),
% 49.20/32.18 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 49.20/32.18 tff(13405,plain,
% 49.20/32.18 ((~v130(constB105, 2)) | v127(constB105, 2)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13404, 1328, 13348])).
% 49.20/32.18 tff(13406,plain,
% 49.20/32.18 (v127(constB105, 2)),
% 49.20/32.18 inference(unit_resolution,[status(thm)],[13405, 13401])).
% 49.20/32.18 tff(13407,plain,
% 49.20/32.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 49.20/32.18 inference(rewrite,[status(thm)],[])).
% 49.20/32.18 tff(13408,plain,
% 49.20/32.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13409,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 49.20/32.19 tff(13410,plain,
% 49.20/32.19 ((~v127(constB105, 2)) | v129(constB106, 2)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13409, 1343, 13363])).
% 49.20/32.19 tff(13411,plain,
% 49.20/32.19 (v129(constB106, 2)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13410, 13406])).
% 49.20/32.19 tff(13412,plain,
% 49.20/32.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13413,plain,
% 49.20/32.19 ((v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2))) <=> (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13414,plain,
% 49.20/32.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13413])).
% 49.20/32.19 tff(13415,plain,
% 49.20/32.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13414, 13412])).
% 49.20/32.19 tff(13416,plain,
% 49.20/32.19 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13417,plain,
% 49.20/32.19 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 49.20/32.19 tff(13418,plain,
% 49.20/32.19 (v90(constB106, 2) | (~v100(constB106))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13417, 1358, 13411])).
% 49.20/32.19 tff(13419,plain,
% 49.20/32.19 (v90(constB106, 2)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13418, 13397])).
% 49.20/32.19 tff(13420,plain,
% 49.20/32.19 ((~v1(constB107)) <=> (~v1(constB107))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13421,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 49.20/32.19 tff(13422,plain,
% 49.20/32.19 (~v1(constB107)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13421, 13420])).
% 49.20/32.19 tff(13423,plain,
% 49.20/32.19 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13424,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 49.20/32.19 tff(13425,plain,
% 49.20/32.19 (nextState(constB106, constB107)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 49.20/32.19 tff(13426,plain,
% 49.20/32.19 (((~![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)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13427,plain,
% 49.20/32.19 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13428,plain,
% 49.20/32.19 (((~![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))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13427])).
% 49.20/32.19 tff(13429,plain,
% 49.20/32.19 (((~![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)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13428, 13426])).
% 49.20/32.19 tff(13430,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13431,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 49.20/32.19 tff(13432,plain,
% 49.20/32.19 (~v101(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13431, 90, 13425, 13422])).
% 49.20/32.19 tff(13433,plain,
% 49.20/32.19 (((~![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)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13434,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13435,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13434, 13433])).
% 49.20/32.19 tff(13436,plain,
% 49.20/32.19 (v101(constB107) | (~v100(constB107))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13435, 107, 13425])).
% 49.20/32.19 tff(13437,plain,
% 49.20/32.19 (~v100(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13436, 13432])).
% 49.20/32.19 tff(13438,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13439,plain,
% 49.20/32.19 (((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)) <=> ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13440,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13439])).
% 49.20/32.19 tff(13441,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13440, 13438])).
% 49.20/32.19 tff(13442,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13443,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13442, 13441])).
% 49.20/32.19 tff(13444,plain,
% 49.20/32.19 ((~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13443, 1394, 13425])).
% 49.20/32.19 tff(13445,plain,
% 49.20/32.19 ((~v90(constB106, 2)) | v90(constB107, 2)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13444, 13437])).
% 49.20/32.19 tff(13446,plain,
% 49.20/32.19 (v90(constB107, 2)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13445, 13419])).
% 49.20/32.19 tff(13447,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13448,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13449,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 49.20/32.19 tff(13450,plain,
% 49.20/32.19 (v130(constB105, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13449, 1677, 13323])).
% 49.20/32.19 tff(13451,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13452,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13453,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 49.20/32.19 tff(13454,plain,
% 49.20/32.19 ((~v130(constB105, 0)) | v127(constB105, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13453, 515, 13348])).
% 49.20/32.19 tff(13455,plain,
% 49.20/32.19 (v127(constB105, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13454, 13450])).
% 49.20/32.19 tff(13456,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13457,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13458,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13457, 13456])).
% 49.20/32.19 tff(13459,plain,
% 49.20/32.19 ((~v127(constB105, 0)) | v129(constB106, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13458, 530, 13363])).
% 49.20/32.19 tff(13460,plain,
% 49.20/32.19 (v129(constB106, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13459, 13455])).
% 49.20/32.19 tff(13461,plain,
% 49.20/32.19 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13462,plain,
% 49.20/32.19 ((v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0))) <=> (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13463,plain,
% 49.20/32.19 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13462])).
% 49.20/32.19 tff(13464,plain,
% 49.20/32.19 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13463, 13461])).
% 49.20/32.19 tff(13465,plain,
% 49.20/32.19 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13466,plain,
% 49.20/32.19 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13465, 13464])).
% 49.20/32.19 tff(13467,plain,
% 49.20/32.19 (v90(constB106, 0) | (~v100(constB106))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13466, 545, 13460])).
% 49.20/32.19 tff(13468,plain,
% 49.20/32.19 (v90(constB106, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13467, 13397])).
% 49.20/32.19 tff(13469,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13470,plain,
% 49.20/32.19 (((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)) <=> ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13471,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13470])).
% 49.20/32.19 tff(13472,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13471, 13469])).
% 49.20/32.19 tff(13473,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13474,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13473, 13472])).
% 49.20/32.19 tff(13475,plain,
% 49.20/32.19 ((~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13474, 563, 13425])).
% 49.20/32.19 tff(13476,plain,
% 49.20/32.19 ((~v90(constB106, 0)) | v90(constB107, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13475, 13437])).
% 49.20/32.19 tff(13477,plain,
% 49.20/32.19 (v90(constB107, 0)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13476, 13468])).
% 49.20/32.19 tff(13478,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13479,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13480,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13479, 13478])).
% 49.20/32.19 tff(13481,plain,
% 49.20/32.19 (~v130(constB105, 1)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13480, 1636, 13323])).
% 49.20/32.19 tff(13482,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13483,plain,
% 49.20/32.19 ((v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1))) <=> ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13484,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13483])).
% 49.20/32.19 tff(13485,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13484, 13482])).
% 49.20/32.19 tff(13486,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13487,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 49.20/32.19 tff(13488,plain,
% 49.20/32.19 ((~v127(constB105, 1)) | v130(constB105, 1)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13487, 408, 13348])).
% 49.20/32.19 tff(13489,plain,
% 49.20/32.19 (~v127(constB105, 1)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13488, 13481])).
% 49.20/32.19 tff(13490,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13491,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13492,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13491, 13490])).
% 49.20/32.19 tff(13493,plain,
% 49.20/32.19 (v127(constB105, 1) | (~v129(constB106, 1))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13492, 438, 13363])).
% 49.20/32.19 tff(13494,plain,
% 49.20/32.19 (~v129(constB106, 1)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13493, 13489])).
% 49.20/32.19 tff(13495,plain,
% 49.20/32.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13496,plain,
% 49.20/32.19 (((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1)) <=> ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13497,plain,
% 49.20/32.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13496])).
% 49.20/32.19 tff(13498,plain,
% 49.20/32.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13497, 13495])).
% 49.20/32.19 tff(13499,plain,
% 49.20/32.19 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13500,plain,
% 49.20/32.19 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 49.20/32.19 tff(13501,plain,
% 49.20/32.19 ((~v90(constB106, 1)) | (~v100(constB106))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13500, 453, 13494])).
% 49.20/32.19 tff(13502,plain,
% 49.20/32.19 (~v90(constB106, 1)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13501, 13397])).
% 49.20/32.19 tff(13503,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13504,plain,
% 49.20/32.19 (((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))) <=> (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13505,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13504])).
% 49.20/32.19 tff(13506,plain,
% 49.20/32.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13505, 13503])).
% 49.20/32.19 tff(13507,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13508,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 49.20/32.19 tff(13509,plain,
% 49.20/32.19 (v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13508, 143, 13425])).
% 49.20/32.19 tff(13510,plain,
% 49.20/32.19 (v90(constB106, 1) | (~v90(constB107, 1))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13509, 13437])).
% 49.20/32.19 tff(13511,plain,
% 49.20/32.19 (~v90(constB107, 1)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13510, 13502])).
% 49.20/32.19 tff(13512,assumption,(~v124(constB107)), introduced(assumption)).
% 49.20/32.19 tff(13513,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13514,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13515,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 49.20/32.19 tff(13516,plain,
% 49.20/32.19 ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13515, 1718, 13512])).
% 49.20/32.19 tff(13517,plain,
% 49.20/32.19 ($false),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13516, 13511, 13477, 13446])).
% 49.20/32.19 tff(13518,plain,((~v123(constB105)) | v124(constB107)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.19 tff(13519,plain,
% 49.20/32.19 (v124(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13518, 13322])).
% 49.20/32.19 tff(13520,assumption,(v124(constB107)), introduced(assumption)).
% 49.20/32.19 tff(13521,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v124(constB107)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13522,plain,
% 49.20/32.19 (((~v124(constB107)) | v114(constB107)) <=> (v114(constB107) | (~v124(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13523,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v124(constB107))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13522])).
% 49.20/32.19 tff(13524,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13523, 13521])).
% 49.20/32.19 tff(13525,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13526,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 49.20/32.19 tff(13527,plain,
% 49.20/32.19 (v114(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13526, 1775, 13520])).
% 49.20/32.19 tff(13528,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13529,plain,
% 49.20/32.19 (((~v114(constB107)) | v113(constB107)) <=> (v113(constB107) | (~v114(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13530,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13529])).
% 49.20/32.19 tff(13531,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13530, 13528])).
% 49.20/32.19 tff(13532,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13533,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 49.20/32.19 tff(13534,plain,
% 49.20/32.19 (v113(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13533, 266, 13527])).
% 49.20/32.19 tff(13535,assumption,(~v108(constB107)), introduced(assumption)).
% 49.20/32.19 tff(13536,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13537,plain,
% 49.20/32.19 (((~v112(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v112(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13538,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13537])).
% 49.20/32.19 tff(13539,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13538, 13536])).
% 49.20/32.19 tff(13540,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13541,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 49.20/32.19 tff(13542,plain,
% 49.20/32.19 (~v112(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13541, 292, 13535])).
% 49.20/32.19 tff(13543,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v26(constB107)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v26(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13544,plain,
% 49.20/32.19 (((~v26(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v26(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13545,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v26(constB107))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13544])).
% 49.20/32.19 tff(13546,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v26(constB107)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13545, 13543])).
% 49.20/32.19 tff(13547,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB107)) | v108(constB107))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13548,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v26(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13547, 13546])).
% 49.20/32.19 tff(13549,plain,
% 49.20/32.19 (~v26(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13548, 1761, 13535])).
% 49.20/32.19 tff(13550,assumption,(v113(constB107)), introduced(assumption)).
% 49.20/32.19 tff(13551,plain,
% 49.20/32.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | v112(constB107) | (~v113(constB107)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13552,plain,
% 49.20/32.19 ((v26(constB107) | (~v113(constB107)) | v112(constB107)) <=> (v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13553,plain,
% 49.20/32.19 (((~![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) | v112(constB107) | (~v113(constB107))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13552])).
% 49.20/32.19 tff(13554,plain,
% 49.20/32.19 (((~![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) | v112(constB107) | (~v113(constB107)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13553, 13551])).
% 49.20/32.19 tff(13555,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13556,plain,
% 49.20/32.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 49.20/32.19 tff(13557,plain,
% 49.20/32.19 (v26(constB107) | v112(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13556, 280, 13550])).
% 49.20/32.19 tff(13558,plain,
% 49.20/32.19 ($false),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13557, 13549, 13542])).
% 49.20/32.19 tff(13559,plain,(v108(constB107) | (~v113(constB107))), inference(lemma,lemma(discharge,[]))).
% 49.20/32.19 tff(13560,plain,
% 49.20/32.19 (v108(constB107)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13559, 13534])).
% 49.20/32.19 tff(13561,plain,
% 49.20/32.19 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13562,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 49.20/32.19 tff(13563,plain,
% 49.20/32.19 (nextState(constB107, constB108)),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13562, 13561])).
% 49.20/32.19 tff(13564,plain,
% 49.20/32.19 (((~![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)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13565,plain,
% 49.20/32.19 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13566,plain,
% 49.20/32.19 (((~![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))))),
% 49.20/32.19 inference(monotonicity,[status(thm)],[13565])).
% 49.20/32.19 tff(13567,plain,
% 49.20/32.19 (((~![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)))),
% 49.20/32.19 inference(transitivity,[status(thm)],[13566, 13564])).
% 49.20/32.19 tff(13568,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13569,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13568, 13567])).
% 49.20/32.19 tff(13570,plain,
% 49.20/32.19 (v110(constB108) | (~v108(constB107))),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13569, 312, 13563])).
% 49.20/32.19 tff(13571,plain,
% 49.20/32.19 (v110(constB108)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13570, 13560])).
% 49.20/32.19 tff(13572,plain,
% 49.20/32.19 (((~![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)))),
% 49.20/32.19 inference(rewrite,[status(thm)],[])).
% 49.20/32.19 tff(13573,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 49.20/32.19 inference(quant_inst,[status(thm)],[])).
% 49.20/32.19 tff(13574,plain,
% 49.20/32.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 49.20/32.19 inference(modus_ponens,[status(thm)],[13573, 13572])).
% 49.20/32.19 tff(13575,plain,
% 49.20/32.19 (~v104(constB108)),
% 49.20/32.19 inference(unit_resolution,[status(thm)],[13574, 330, 13563, 13422])).
% 49.20/32.19 tff(13576,plain,
% 49.20/32.19 (((~![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)) | v102(constB108) | v104(constB108))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13577,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13578,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13577, 13576])).
% 49.20/32.20 tff(13579,plain,
% 49.20/32.20 (v102(constB108) | v104(constB108)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13578, 344, 13563])).
% 49.20/32.20 tff(13580,plain,
% 49.20/32.20 (v102(constB108)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13579, 13575])).
% 49.20/32.20 tff(13581,plain,
% 49.20/32.20 (v1(constB108) <=> v1(constB108)),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13582,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 49.20/32.20 tff(13583,plain,
% 49.20/32.20 (v1(constB108)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 49.20/32.20 tff(13584,plain,
% 49.20/32.20 (((~![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)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13585,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13586,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13585, 13584])).
% 49.20/32.20 tff(13587,plain,
% 49.20/32.20 (v101(constB108) | (~v102(constB108))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13586, 362, 13563, 13583])).
% 49.20/32.20 tff(13588,plain,
% 49.20/32.20 (v101(constB108)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13587, 13580])).
% 49.20/32.20 tff(13589,plain,
% 49.20/32.20 (((~![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)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13590,plain,
% 49.20/32.20 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13591,plain,
% 49.20/32.20 (((~![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))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13590])).
% 49.20/32.20 tff(13592,plain,
% 49.20/32.20 (((~![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)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13591, 13589])).
% 49.20/32.20 tff(13593,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13594,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 49.20/32.20 tff(13595,plain,
% 49.20/32.20 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13594, 377, 13563])).
% 49.20/32.20 tff(13596,plain,
% 49.20/32.20 (v100(constB108) | (~v110(constB108))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13595, 13588])).
% 49.20/32.20 tff(13597,plain,
% 49.20/32.20 (v100(constB108)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13596, 13571])).
% 49.20/32.20 tff(13598,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13599,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13600,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 49.20/32.20 tff(13601,plain,
% 49.20/32.20 (v130(constB107, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13600, 1729, 13520])).
% 49.20/32.20 tff(13602,assumption,(v26(constB107)), introduced(assumption)).
% 49.20/32.20 tff(13603,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13604,plain,
% 49.20/32.20 ($false),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13603, 43, 13602])).
% 49.20/32.20 tff(13605,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.20 tff(13606,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13607,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13608,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13607, 13606])).
% 49.20/32.20 tff(13609,plain,
% 49.20/32.20 ((~v130(constB107, 2)) | v127(constB107, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13608, 1328, 13605])).
% 49.20/32.20 tff(13610,plain,
% 49.20/32.20 (v127(constB107, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13609, 13601])).
% 49.20/32.20 tff(13611,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13612,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13613,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 49.20/32.20 tff(13614,plain,
% 49.20/32.20 ((~v127(constB107, 2)) | v129(constB108, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13613, 1343, 13563])).
% 49.20/32.20 tff(13615,plain,
% 49.20/32.20 (v129(constB108, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13614, 13610])).
% 49.20/32.20 tff(13616,plain,
% 49.20/32.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13617,plain,
% 49.20/32.20 ((v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2))) <=> (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13618,plain,
% 49.20/32.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13617])).
% 49.20/32.20 tff(13619,plain,
% 49.20/32.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13618, 13616])).
% 49.20/32.20 tff(13620,plain,
% 49.20/32.20 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13621,plain,
% 49.20/32.20 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13620, 13619])).
% 49.20/32.20 tff(13622,plain,
% 49.20/32.20 (v90(constB108, 2) | (~v100(constB108))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13621, 1358, 13615])).
% 49.20/32.20 tff(13623,plain,
% 49.20/32.20 (v90(constB108, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13622, 13597])).
% 49.20/32.20 tff(13624,plain,
% 49.20/32.20 ((~v1(constB109)) <=> (~v1(constB109))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13625,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 49.20/32.20 tff(13626,plain,
% 49.20/32.20 (~v1(constB109)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13625, 13624])).
% 49.20/32.20 tff(13627,plain,
% 49.20/32.20 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13628,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 49.20/32.20 tff(13629,plain,
% 49.20/32.20 (nextState(constB108, constB109)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 49.20/32.20 tff(13630,plain,
% 49.20/32.20 (((~![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)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13631,plain,
% 49.20/32.20 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13632,plain,
% 49.20/32.20 (((~![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))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13631])).
% 49.20/32.20 tff(13633,plain,
% 49.20/32.20 (((~![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)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13632, 13630])).
% 49.20/32.20 tff(13634,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13635,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13634, 13633])).
% 49.20/32.20 tff(13636,plain,
% 49.20/32.20 (~v101(constB109)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13635, 90, 13629, 13626])).
% 49.20/32.20 tff(13637,plain,
% 49.20/32.20 (((~![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)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13638,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13639,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13638, 13637])).
% 49.20/32.20 tff(13640,plain,
% 49.20/32.20 (v101(constB109) | (~v100(constB109))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13639, 107, 13629])).
% 49.20/32.20 tff(13641,plain,
% 49.20/32.20 (~v100(constB109)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13640, 13636])).
% 49.20/32.20 tff(13642,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13643,plain,
% 49.20/32.20 (((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)) <=> ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13644,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13643])).
% 49.20/32.20 tff(13645,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13644, 13642])).
% 49.20/32.20 tff(13646,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13647,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13646, 13645])).
% 49.20/32.20 tff(13648,plain,
% 49.20/32.20 ((~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13647, 1394, 13629])).
% 49.20/32.20 tff(13649,plain,
% 49.20/32.20 ((~v90(constB108, 2)) | v90(constB109, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13648, 13641])).
% 49.20/32.20 tff(13650,plain,
% 49.20/32.20 (v90(constB109, 2)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13649, 13623])).
% 49.20/32.20 tff(13651,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13652,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13653,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13652, 13651])).
% 49.20/32.20 tff(13654,plain,
% 49.20/32.20 (v130(constB107, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13653, 1871, 13520])).
% 49.20/32.20 tff(13655,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13656,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13657,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13656, 13655])).
% 49.20/32.20 tff(13658,plain,
% 49.20/32.20 ((~v130(constB107, 1)) | v127(constB107, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13657, 852, 13605])).
% 49.20/32.20 tff(13659,plain,
% 49.20/32.20 (v127(constB107, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13658, 13654])).
% 49.20/32.20 tff(13660,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13661,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13662,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 49.20/32.20 tff(13663,plain,
% 49.20/32.20 ((~v127(constB107, 1)) | v129(constB108, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13662, 867, 13563])).
% 49.20/32.20 tff(13664,plain,
% 49.20/32.20 (v129(constB108, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13663, 13659])).
% 49.20/32.20 tff(13665,plain,
% 49.20/32.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13666,plain,
% 49.20/32.20 ((v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1))) <=> (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13667,plain,
% 49.20/32.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13666])).
% 49.20/32.20 tff(13668,plain,
% 49.20/32.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13667, 13665])).
% 49.20/32.20 tff(13669,plain,
% 49.20/32.20 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13670,plain,
% 49.20/32.20 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13669, 13668])).
% 49.20/32.20 tff(13671,plain,
% 49.20/32.20 (v90(constB108, 1) | (~v100(constB108))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13670, 882, 13664])).
% 49.20/32.20 tff(13672,plain,
% 49.20/32.20 (v90(constB108, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13671, 13597])).
% 49.20/32.20 tff(13673,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13674,plain,
% 49.20/32.20 (((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)) <=> ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13675,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13674])).
% 49.20/32.20 tff(13676,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13675, 13673])).
% 49.20/32.20 tff(13677,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13678,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13677, 13676])).
% 49.20/32.20 tff(13679,plain,
% 49.20/32.20 ((~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13678, 900, 13629])).
% 49.20/32.20 tff(13680,plain,
% 49.20/32.20 ((~v90(constB108, 1)) | v90(constB109, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13679, 13641])).
% 49.20/32.20 tff(13681,plain,
% 49.20/32.20 (v90(constB109, 1)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13680, 13672])).
% 49.20/32.20 tff(13682,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13683,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13684,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 49.20/32.20 tff(13685,plain,
% 49.20/32.20 (~v130(constB107, 0)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13684, 1909, 13520])).
% 49.20/32.20 tff(13686,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13687,plain,
% 49.20/32.20 ((v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0))) <=> ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13688,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13687])).
% 49.20/32.20 tff(13689,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13688, 13686])).
% 49.20/32.20 tff(13690,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13691,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 49.20/32.20 tff(13692,plain,
% 49.20/32.20 ((~v127(constB107, 0)) | v130(constB107, 0)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13691, 930, 13605])).
% 49.20/32.20 tff(13693,plain,
% 49.20/32.20 (~v127(constB107, 0)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13692, 13685])).
% 49.20/32.20 tff(13694,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13695,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13696,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13695, 13694])).
% 49.20/32.20 tff(13697,plain,
% 49.20/32.20 (v127(constB107, 0) | (~v129(constB108, 0))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13696, 948, 13563])).
% 49.20/32.20 tff(13698,plain,
% 49.20/32.20 (~v129(constB108, 0)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13697, 13693])).
% 49.20/32.20 tff(13699,plain,
% 49.20/32.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13700,plain,
% 49.20/32.20 (((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0)) <=> ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13701,plain,
% 49.20/32.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13700])).
% 49.20/32.20 tff(13702,plain,
% 49.20/32.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13701, 13699])).
% 49.20/32.20 tff(13703,plain,
% 49.20/32.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13704,plain,
% 49.20/32.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13703, 13702])).
% 49.20/32.20 tff(13705,plain,
% 49.20/32.20 ((~v90(constB108, 0)) | (~v100(constB108))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13704, 963, 13698])).
% 49.20/32.20 tff(13706,plain,
% 49.20/32.20 (~v90(constB108, 0)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13705, 13597])).
% 49.20/32.20 tff(13707,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13708,plain,
% 49.20/32.20 (((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))) <=> (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13709,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13708])).
% 49.20/32.20 tff(13710,plain,
% 49.20/32.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13709, 13707])).
% 49.20/32.20 tff(13711,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13712,plain,
% 49.20/32.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13711, 13710])).
% 49.20/32.20 tff(13713,plain,
% 49.20/32.20 (v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13712, 164, 13629])).
% 49.20/32.20 tff(13714,plain,
% 49.20/32.20 (v90(constB108, 0) | (~v90(constB109, 0))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13713, 13641])).
% 49.20/32.20 tff(13715,plain,
% 49.20/32.20 (~v90(constB109, 0)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13714, 13706])).
% 49.20/32.20 tff(13716,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13717,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13718,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109)),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 49.20/32.20 tff(13719,plain,
% 49.20/32.20 (v125(constB109)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13718, 1953, 13715, 13681, 13650])).
% 49.20/32.20 tff(13720,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v125(constB109)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13721,plain,
% 49.20/32.20 (((~v125(constB109)) | v113(constB109)) <=> (v113(constB109) | (~v125(constB109)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13722,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v125(constB109))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13721])).
% 49.20/32.20 tff(13723,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13722, 13720])).
% 49.20/32.20 tff(13724,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13725,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13724, 13723])).
% 49.20/32.20 tff(13726,plain,
% 49.20/32.20 (v113(constB109)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13725, 1964, 13719])).
% 49.20/32.20 tff(13727,assumption,(v26(constB109)), introduced(assumption)).
% 49.20/32.20 tff(13728,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13729,plain,
% 49.20/32.20 ($false),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13728, 43, 13727])).
% 49.20/32.20 tff(13730,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 49.20/32.20 tff(13731,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13732,plain,
% 49.20/32.20 ((v26(constB109) | (~v113(constB109)) | v112(constB109)) <=> (v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13733,plain,
% 49.20/32.20 (((~![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) | v112(constB109) | (~v113(constB109))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13732])).
% 49.20/32.20 tff(13734,plain,
% 49.20/32.20 (((~![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) | v112(constB109) | (~v113(constB109)))),
% 49.20/32.20 inference(transitivity,[status(thm)],[13733, 13731])).
% 49.20/32.20 tff(13735,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 49.20/32.20 inference(quant_inst,[status(thm)],[])).
% 49.20/32.20 tff(13736,plain,
% 49.20/32.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109))),
% 49.20/32.20 inference(modus_ponens,[status(thm)],[13735, 13734])).
% 49.20/32.20 tff(13737,plain,
% 49.20/32.20 (v112(constB109) | (~v113(constB109))),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13736, 280, 13730])).
% 49.20/32.20 tff(13738,plain,
% 49.20/32.20 (v112(constB109)),
% 49.20/32.20 inference(unit_resolution,[status(thm)],[13737, 13726])).
% 49.20/32.20 tff(13739,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13740,plain,
% 49.20/32.20 (((~v112(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v112(constB109)))),
% 49.20/32.20 inference(rewrite,[status(thm)],[])).
% 49.20/32.20 tff(13741,plain,
% 49.20/32.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109))))),
% 49.20/32.20 inference(monotonicity,[status(thm)],[13740])).
% 49.20/32.21 tff(13742,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 49.20/32.21 inference(transitivity,[status(thm)],[13741, 13739])).
% 49.20/32.21 tff(13743,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13744,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13743, 13742])).
% 49.20/32.21 tff(13745,plain,
% 49.20/32.21 (v108(constB109)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13744, 292, 13738])).
% 49.20/32.21 tff(13746,plain,
% 49.20/32.21 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13747,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 49.20/32.21 tff(13748,plain,
% 49.20/32.21 (nextState(constB109, constB110)),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13747, 13746])).
% 49.20/32.21 tff(13749,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13750,plain,
% 49.20/32.21 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13751,plain,
% 49.20/32.21 (((~![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))))),
% 49.20/32.21 inference(monotonicity,[status(thm)],[13750])).
% 49.20/32.21 tff(13752,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(transitivity,[status(thm)],[13751, 13749])).
% 49.20/32.21 tff(13753,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13754,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 49.20/32.21 tff(13755,plain,
% 49.20/32.21 (v110(constB110) | (~v108(constB109))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13754, 312, 13748])).
% 49.20/32.21 tff(13756,plain,
% 49.20/32.21 (v110(constB110)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13755, 13745])).
% 49.20/32.21 tff(13757,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13758,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13759,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13758, 13757])).
% 49.20/32.21 tff(13760,plain,
% 49.20/32.21 (~v104(constB110)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13759, 330, 13748, 13626])).
% 49.20/32.21 tff(13761,plain,
% 49.20/32.21 (((~![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)) | v102(constB110) | v104(constB110))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13762,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13763,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13762, 13761])).
% 49.20/32.21 tff(13764,plain,
% 49.20/32.21 (v102(constB110) | v104(constB110)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13763, 344, 13748])).
% 49.20/32.21 tff(13765,plain,
% 49.20/32.21 (v102(constB110)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13764, 13760])).
% 49.20/32.21 tff(13766,plain,
% 49.20/32.21 (v1(constB110) <=> v1(constB110)),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13767,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 49.20/32.21 tff(13768,plain,
% 49.20/32.21 (v1(constB110)),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13767, 13766])).
% 49.20/32.21 tff(13769,plain,
% 49.20/32.21 (((~![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)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13770,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13771,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13770, 13769])).
% 49.20/32.21 tff(13772,plain,
% 49.20/32.21 (v101(constB110) | (~v102(constB110))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13771, 362, 13748, 13768])).
% 49.20/32.21 tff(13773,plain,
% 49.20/32.21 (v101(constB110)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13772, 13765])).
% 49.20/32.21 tff(13774,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13775,plain,
% 49.20/32.21 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13776,plain,
% 49.20/32.21 (((~![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))))),
% 49.20/32.21 inference(monotonicity,[status(thm)],[13775])).
% 49.20/32.21 tff(13777,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(transitivity,[status(thm)],[13776, 13774])).
% 49.20/32.21 tff(13778,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13779,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 49.20/32.21 tff(13780,plain,
% 49.20/32.21 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13779, 377, 13748])).
% 49.20/32.21 tff(13781,plain,
% 49.20/32.21 (v100(constB110) | (~v110(constB110))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13780, 13773])).
% 49.20/32.21 tff(13782,plain,
% 49.20/32.21 (v100(constB110)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13781, 13756])).
% 49.20/32.21 tff(13783,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13784,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13785,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13784, 13783])).
% 49.20/32.21 tff(13786,plain,
% 49.20/32.21 (~v121(constB109)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13785, 2028, 13650])).
% 49.20/32.21 tff(13787,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13788,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13789,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13788, 13787])).
% 49.20/32.21 tff(13790,plain,
% 49.20/32.21 (~v122(constB109)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13789, 2039, 13650])).
% 49.20/32.21 tff(13791,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13792,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13793,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13792, 13791])).
% 49.20/32.21 tff(13794,plain,
% 49.20/32.21 (~v119(constB109)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13793, 2050, 13681])).
% 49.20/32.21 tff(13795,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13796,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13797,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13796, 13795])).
% 49.20/32.21 tff(13798,plain,
% 49.20/32.21 (~v120(constB109)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13797, 2061, 13681])).
% 49.20/32.21 tff(13799,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13800,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13801,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 49.20/32.21 tff(13802,plain,
% 49.20/32.21 (~v123(constB109)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13801, 2072, 13681])).
% 49.20/32.21 tff(13803,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13804,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13805,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13804, 13803])).
% 49.20/32.21 tff(13806,plain,
% 49.20/32.21 (~v124(constB109)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13805, 2083, 13681])).
% 49.20/32.21 tff(13807,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13808,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13809,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 49.20/32.21 tff(13810,plain,
% 49.20/32.21 (~v130(constB109, 2)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13809, 2097, 13806, 13802, 13798, 13794, 13790, 13786])).
% 49.20/32.21 tff(13811,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13812,plain,
% 49.20/32.21 ((v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2))) <=> ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13813,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)))),
% 49.20/32.21 inference(monotonicity,[status(thm)],[13812])).
% 49.20/32.21 tff(13814,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 49.20/32.21 inference(transitivity,[status(thm)],[13813, 13811])).
% 49.20/32.21 tff(13815,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13816,plain,
% 49.20/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13815, 13814])).
% 49.20/32.21 tff(13817,plain,
% 49.20/32.21 ((~v127(constB109, 2)) | v130(constB109, 2)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13816, 593, 13730])).
% 49.20/32.21 tff(13818,plain,
% 49.20/32.21 (~v127(constB109, 2)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13817, 13810])).
% 49.20/32.21 tff(13819,plain,
% 49.20/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13820,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13821,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13820, 13819])).
% 49.20/32.21 tff(13822,plain,
% 49.20/32.21 (v127(constB109, 2) | (~v129(constB110, 2))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13821, 611, 13748])).
% 49.20/32.21 tff(13823,plain,
% 49.20/32.21 (~v129(constB110, 2)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13822, 13818])).
% 49.20/32.21 tff(13824,plain,
% 49.20/32.21 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13825,plain,
% 49.20/32.21 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13826,plain,
% 49.20/32.21 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 49.20/32.21 tff(13827,plain,
% 49.20/32.21 ((~v90(constB110, 2)) | (~v100(constB110))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13826, 626, 13823])).
% 49.20/32.21 tff(13828,plain,
% 49.20/32.21 (~v90(constB110, 2)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13827, 13782])).
% 49.20/32.21 tff(13829,plain,
% 49.20/32.21 ((~v1(constB111)) <=> (~v1(constB111))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13830,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 49.20/32.21 tff(13831,plain,
% 49.20/32.21 (~v1(constB111)),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13830, 13829])).
% 49.20/32.21 tff(13832,plain,
% 49.20/32.21 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13833,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 49.20/32.21 tff(13834,plain,
% 49.20/32.21 (nextState(constB110, constB111)),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 49.20/32.21 tff(13835,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13836,plain,
% 49.20/32.21 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13837,plain,
% 49.20/32.21 (((~![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))))),
% 49.20/32.21 inference(monotonicity,[status(thm)],[13836])).
% 49.20/32.21 tff(13838,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(transitivity,[status(thm)],[13837, 13835])).
% 49.20/32.21 tff(13839,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13840,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 49.20/32.21 tff(13841,plain,
% 49.20/32.21 (~v101(constB111)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13840, 90, 13834, 13831])).
% 49.20/32.21 tff(13842,plain,
% 49.20/32.21 (((~![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)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13843,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13844,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13843, 13842])).
% 49.20/32.21 tff(13845,plain,
% 49.20/32.21 (v101(constB111) | (~v100(constB111))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13844, 107, 13834])).
% 49.20/32.21 tff(13846,plain,
% 49.20/32.21 (~v100(constB111)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13845, 13841])).
% 49.20/32.21 tff(13847,plain,
% 49.20/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13848,plain,
% 49.20/32.21 (((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))) <=> (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 49.20/32.21 inference(rewrite,[status(thm)],[])).
% 49.20/32.21 tff(13849,plain,
% 49.20/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))))),
% 49.20/32.21 inference(monotonicity,[status(thm)],[13848])).
% 49.20/32.21 tff(13850,plain,
% 49.20/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 49.20/32.21 inference(transitivity,[status(thm)],[13849, 13847])).
% 49.20/32.21 tff(13851,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))),
% 49.20/32.21 inference(quant_inst,[status(thm)],[])).
% 49.20/32.21 tff(13852,plain,
% 49.20/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))),
% 49.20/32.21 inference(modus_ponens,[status(thm)],[13851, 13850])).
% 49.20/32.21 tff(13853,plain,
% 49.20/32.21 (v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13852, 122, 13834])).
% 49.20/32.21 tff(13854,plain,
% 49.20/32.21 (v90(constB110, 2) | (~v90(constB111, 2))),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13853, 13846])).
% 49.20/32.21 tff(13855,plain,
% 49.20/32.21 (~v90(constB111, 2)),
% 49.20/32.21 inference(unit_resolution,[status(thm)],[13854, 13828])).
% 49.20/32.21 tff(13856,plain,
% 49.20/32.21 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13857,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 49.29/32.21 inference(quant_inst,[status(thm)],[])).
% 49.29/32.21 tff(13858,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0)),
% 49.29/32.21 inference(modus_ponens,[status(thm)],[13857, 13856])).
% 49.29/32.21 tff(13859,plain,
% 49.29/32.21 (v130(constB109, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13858, 2200, 13806, 13802, 13798, 13794, 13790, 13786])).
% 49.29/32.21 tff(13860,plain,
% 49.29/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13861,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 49.29/32.21 inference(quant_inst,[status(thm)],[])).
% 49.29/32.21 tff(13862,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0)),
% 49.29/32.21 inference(modus_ponens,[status(thm)],[13861, 13860])).
% 49.29/32.21 tff(13863,plain,
% 49.29/32.21 ((~v130(constB109, 0)) | v127(constB109, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13862, 515, 13730])).
% 49.29/32.21 tff(13864,plain,
% 49.29/32.21 (v127(constB109, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13863, 13859])).
% 49.29/32.21 tff(13865,plain,
% 49.29/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13866,plain,
% 49.29/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 49.29/32.21 inference(quant_inst,[status(thm)],[])).
% 49.29/32.21 tff(13867,plain,
% 49.29/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0)),
% 49.29/32.21 inference(modus_ponens,[status(thm)],[13866, 13865])).
% 49.29/32.21 tff(13868,plain,
% 49.29/32.21 ((~v127(constB109, 0)) | v129(constB110, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13867, 530, 13748])).
% 49.29/32.21 tff(13869,plain,
% 49.29/32.21 (v129(constB110, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13868, 13864])).
% 49.29/32.21 tff(13870,plain,
% 49.29/32.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13871,plain,
% 49.29/32.21 ((v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0))) <=> (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13872,plain,
% 49.29/32.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))))),
% 49.29/32.21 inference(monotonicity,[status(thm)],[13871])).
% 49.29/32.21 tff(13873,plain,
% 49.29/32.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 49.29/32.21 inference(transitivity,[status(thm)],[13872, 13870])).
% 49.29/32.21 tff(13874,plain,
% 49.29/32.21 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))),
% 49.29/32.21 inference(quant_inst,[status(thm)],[])).
% 49.29/32.21 tff(13875,plain,
% 49.29/32.21 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))),
% 49.29/32.21 inference(modus_ponens,[status(thm)],[13874, 13873])).
% 49.29/32.21 tff(13876,plain,
% 49.29/32.21 (v90(constB110, 0) | (~v100(constB110))),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13875, 545, 13869])).
% 49.29/32.21 tff(13877,plain,
% 49.29/32.21 (v90(constB110, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13876, 13782])).
% 49.29/32.21 tff(13878,plain,
% 49.29/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13879,plain,
% 49.29/32.21 (((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)) <=> ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13880,plain,
% 49.29/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)))),
% 49.29/32.21 inference(monotonicity,[status(thm)],[13879])).
% 49.29/32.21 tff(13881,plain,
% 49.29/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 49.29/32.21 inference(transitivity,[status(thm)],[13880, 13878])).
% 49.29/32.21 tff(13882,plain,
% 49.29/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))),
% 49.29/32.21 inference(quant_inst,[status(thm)],[])).
% 49.29/32.21 tff(13883,plain,
% 49.29/32.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)),
% 49.29/32.21 inference(modus_ponens,[status(thm)],[13882, 13881])).
% 49.29/32.21 tff(13884,plain,
% 49.29/32.21 ((~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13883, 563, 13834])).
% 49.29/32.21 tff(13885,plain,
% 49.29/32.21 ((~v90(constB110, 0)) | v90(constB111, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13884, 13846])).
% 49.29/32.21 tff(13886,plain,
% 49.29/32.21 (v90(constB111, 0)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13885, 13877])).
% 49.29/32.21 tff(13887,plain,
% 49.29/32.21 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13888,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 49.29/32.21 inference(quant_inst,[status(thm)],[])).
% 49.29/32.21 tff(13889,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1))),
% 49.29/32.21 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 49.29/32.21 tff(13890,plain,
% 49.29/32.21 (~v130(constB109, 1)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13889, 2156, 13806, 13802, 13798, 13794, 13790, 13786])).
% 49.29/32.21 tff(13891,plain,
% 49.29/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13892,plain,
% 49.29/32.21 ((v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1))) <=> ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.21 tff(13893,plain,
% 49.29/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)))),
% 49.29/32.21 inference(monotonicity,[status(thm)],[13892])).
% 49.29/32.21 tff(13894,plain,
% 49.29/32.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 49.29/32.21 inference(transitivity,[status(thm)],[13893, 13891])).
% 49.29/32.21 tff(13895,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))),
% 49.29/32.21 inference(quant_inst,[status(thm)],[])).
% 49.29/32.21 tff(13896,plain,
% 49.29/32.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)),
% 49.29/32.21 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 49.29/32.21 tff(13897,plain,
% 49.29/32.21 ((~v127(constB109, 1)) | v130(constB109, 1)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13896, 408, 13730])).
% 49.29/32.21 tff(13898,plain,
% 49.29/32.21 (~v127(constB109, 1)),
% 49.29/32.21 inference(unit_resolution,[status(thm)],[13897, 13890])).
% 49.29/32.21 tff(13899,plain,
% 49.29/32.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 49.29/32.21 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13900,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13901,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 49.29/32.22 tff(13902,plain,
% 49.29/32.22 (v127(constB109, 1) | (~v129(constB110, 1))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13901, 438, 13748])).
% 49.29/32.22 tff(13903,plain,
% 49.29/32.22 (~v129(constB110, 1)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13902, 13898])).
% 49.29/32.22 tff(13904,plain,
% 49.29/32.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13905,plain,
% 49.29/32.22 (((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1)) <=> ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13906,plain,
% 49.29/32.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13905])).
% 49.29/32.22 tff(13907,plain,
% 49.29/32.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13906, 13904])).
% 49.29/32.22 tff(13908,plain,
% 49.29/32.22 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13909,plain,
% 49.29/32.22 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 49.29/32.22 tff(13910,plain,
% 49.29/32.22 ((~v90(constB110, 1)) | (~v100(constB110))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13909, 453, 13903])).
% 49.29/32.22 tff(13911,plain,
% 49.29/32.22 (~v90(constB110, 1)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13910, 13782])).
% 49.29/32.22 tff(13912,plain,
% 49.29/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13913,plain,
% 49.29/32.22 (((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))) <=> (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13914,plain,
% 49.29/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13913])).
% 49.29/32.22 tff(13915,plain,
% 49.29/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13914, 13912])).
% 49.29/32.22 tff(13916,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13917,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 49.29/32.22 tff(13918,plain,
% 49.29/32.22 (v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13917, 143, 13834])).
% 49.29/32.22 tff(13919,plain,
% 49.29/32.22 (v90(constB110, 1) | (~v90(constB111, 1))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13918, 13846])).
% 49.29/32.22 tff(13920,plain,
% 49.29/32.22 (~v90(constB111, 1)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13919, 13911])).
% 49.29/32.22 tff(13921,assumption,(~v120(constB111)), introduced(assumption)).
% 49.29/32.22 tff(13922,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13923,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13924,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 49.29/32.22 tff(13925,plain,
% 49.29/32.22 ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13924, 651, 13921])).
% 49.29/32.22 tff(13926,plain,
% 49.29/32.22 ($false),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13925, 13920, 13886, 13855])).
% 49.29/32.22 tff(13927,plain,((~v124(constB107)) | v120(constB111)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.22 tff(13928,plain,
% 49.29/32.22 (v120(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13927, 13519])).
% 49.29/32.22 tff(13929,assumption,(v120(constB111)), introduced(assumption)).
% 49.29/32.22 tff(13930,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB111)) | v118(constB111))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13931,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13932,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB111)) | v118(constB111)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 49.29/32.22 tff(13933,plain,
% 49.29/32.22 (v118(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13932, 665, 13929])).
% 49.29/32.22 tff(13934,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13935,plain,
% 49.29/32.22 (((~v118(constB111)) | v117(constB111)) <=> (v117(constB111) | (~v118(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13936,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13935])).
% 49.29/32.22 tff(13937,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13936, 13934])).
% 49.29/32.22 tff(13938,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13939,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13938, 13937])).
% 49.29/32.22 tff(13940,plain,
% 49.29/32.22 (v117(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13939, 210, 13933])).
% 49.29/32.22 tff(13941,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13942,plain,
% 49.29/32.22 (((~v117(constB111)) | v116(constB111)) <=> (v116(constB111) | (~v117(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13943,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13942])).
% 49.29/32.22 tff(13944,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13943, 13941])).
% 49.29/32.22 tff(13945,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13946,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13945, 13944])).
% 49.29/32.22 tff(13947,plain,
% 49.29/32.22 (v116(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13946, 224, 13940])).
% 49.29/32.22 tff(13948,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13949,plain,
% 49.29/32.22 (((~v116(constB111)) | v115(constB111)) <=> (v115(constB111) | (~v116(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13950,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13949])).
% 49.29/32.22 tff(13951,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13950, 13948])).
% 49.29/32.22 tff(13952,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13953,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 49.29/32.22 tff(13954,plain,
% 49.29/32.22 (v115(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13953, 238, 13947])).
% 49.29/32.22 tff(13955,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13956,plain,
% 49.29/32.22 (((~v115(constB111)) | v114(constB111)) <=> (v114(constB111) | (~v115(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13957,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13956])).
% 49.29/32.22 tff(13958,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13957, 13955])).
% 49.29/32.22 tff(13959,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13960,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 49.29/32.22 tff(13961,plain,
% 49.29/32.22 (v114(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13960, 252, 13954])).
% 49.29/32.22 tff(13962,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB111)) | v113(constB111))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13963,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13964,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB111)) | v113(constB111)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 49.29/32.22 tff(13965,plain,
% 49.29/32.22 (v113(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13964, 266, 13961])).
% 49.29/32.22 tff(13966,assumption,(v26(constB111)), introduced(assumption)).
% 49.29/32.22 tff(13967,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13968,plain,
% 49.29/32.22 ($false),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13967, 43, 13966])).
% 49.29/32.22 tff(13969,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.22 tff(13970,plain,
% 49.29/32.22 (((~![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) | (~v113(constB111)) | v112(constB111))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13971,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13972,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13971, 13970])).
% 49.29/32.22 tff(13973,plain,
% 49.29/32.22 ((~v113(constB111)) | v112(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13972, 280, 13969])).
% 49.29/32.22 tff(13974,plain,
% 49.29/32.22 (v112(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13973, 13965])).
% 49.29/32.22 tff(13975,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13976,plain,
% 49.29/32.22 (((~v112(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v112(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13977,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13976])).
% 49.29/32.22 tff(13978,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13977, 13975])).
% 49.29/32.22 tff(13979,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13980,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13979, 13978])).
% 49.29/32.22 tff(13981,plain,
% 49.29/32.22 (v108(constB111)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13980, 292, 13974])).
% 49.29/32.22 tff(13982,plain,
% 49.29/32.22 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13983,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 49.29/32.22 tff(13984,plain,
% 49.29/32.22 (nextState(constB111, constB112)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13983, 13982])).
% 49.29/32.22 tff(13985,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13986,plain,
% 49.29/32.22 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13987,plain,
% 49.29/32.22 (((~![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))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[13986])).
% 49.29/32.22 tff(13988,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[13987, 13985])).
% 49.29/32.22 tff(13989,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13990,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13989, 13988])).
% 49.29/32.22 tff(13991,plain,
% 49.29/32.22 (v110(constB112) | (~v108(constB111))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13990, 312, 13984])).
% 49.29/32.22 tff(13992,plain,
% 49.29/32.22 (v110(constB112)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13991, 13981])).
% 49.29/32.22 tff(13993,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13994,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13995,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13994, 13993])).
% 49.29/32.22 tff(13996,plain,
% 49.29/32.22 (~v104(constB112)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13995, 330, 13984, 13831])).
% 49.29/32.22 tff(13997,plain,
% 49.29/32.22 (((~![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)) | v102(constB112) | v104(constB112))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(13998,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(13999,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[13998, 13997])).
% 49.29/32.22 tff(14000,plain,
% 49.29/32.22 (v102(constB112) | v104(constB112)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[13999, 344, 13984])).
% 49.29/32.22 tff(14001,plain,
% 49.29/32.22 (v102(constB112)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14000, 13996])).
% 49.29/32.22 tff(14002,plain,
% 49.29/32.22 (v1(constB112) <=> v1(constB112)),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14003,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 49.29/32.22 tff(14004,plain,
% 49.29/32.22 (v1(constB112)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14003, 14002])).
% 49.29/32.22 tff(14005,plain,
% 49.29/32.22 (((~![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)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14006,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14007,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14006, 14005])).
% 49.29/32.22 tff(14008,plain,
% 49.29/32.22 (v101(constB112) | (~v102(constB112))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14007, 362, 13984, 14004])).
% 49.29/32.22 tff(14009,plain,
% 49.29/32.22 (v101(constB112)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14008, 14001])).
% 49.29/32.22 tff(14010,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14011,plain,
% 49.29/32.22 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14012,plain,
% 49.29/32.22 (((~![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))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[14011])).
% 49.29/32.22 tff(14013,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[14012, 14010])).
% 49.29/32.22 tff(14014,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14015,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14014, 14013])).
% 49.29/32.22 tff(14016,plain,
% 49.29/32.22 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14015, 377, 13984])).
% 49.29/32.22 tff(14017,plain,
% 49.29/32.22 (v100(constB112) | (~v110(constB112))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14016, 14009])).
% 49.29/32.22 tff(14018,plain,
% 49.29/32.22 (v100(constB112)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14017, 13992])).
% 49.29/32.22 tff(14019,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14020,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14021,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 49.29/32.22 tff(14022,plain,
% 49.29/32.22 (~v130(constB111, 2)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14021, 767, 13929])).
% 49.29/32.22 tff(14023,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14024,plain,
% 49.29/32.22 ((v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2))) <=> ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14025,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[14024])).
% 49.29/32.22 tff(14026,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 49.29/32.22 inference(transitivity,[status(thm)],[14025, 14023])).
% 49.29/32.22 tff(14027,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14028,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14027, 14026])).
% 49.29/32.22 tff(14029,plain,
% 49.29/32.22 ((~v127(constB111, 2)) | v130(constB111, 2)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14028, 593, 13969])).
% 49.29/32.22 tff(14030,plain,
% 49.29/32.22 (~v127(constB111, 2)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14029, 14022])).
% 49.29/32.22 tff(14031,plain,
% 49.29/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14032,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14033,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14032, 14031])).
% 49.29/32.22 tff(14034,plain,
% 49.29/32.22 (v127(constB111, 2) | (~v129(constB112, 2))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14033, 611, 13984])).
% 49.29/32.22 tff(14035,plain,
% 49.29/32.22 (~v129(constB112, 2)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14034, 14030])).
% 49.29/32.22 tff(14036,plain,
% 49.29/32.22 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14037,plain,
% 49.29/32.22 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14038,plain,
% 49.29/32.22 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 49.29/32.22 tff(14039,plain,
% 49.29/32.22 ((~v90(constB112, 2)) | (~v100(constB112))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14038, 626, 14035])).
% 49.29/32.22 tff(14040,plain,
% 49.29/32.22 (~v90(constB112, 2)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14039, 14018])).
% 49.29/32.22 tff(14041,plain,
% 49.29/32.22 ((~v1(constB113)) <=> (~v1(constB113))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14042,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 49.29/32.22 tff(14043,plain,
% 49.29/32.22 (~v1(constB113)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14042, 14041])).
% 49.29/32.22 tff(14044,plain,
% 49.29/32.22 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14045,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 49.29/32.22 tff(14046,plain,
% 49.29/32.22 (nextState(constB112, constB113)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 49.29/32.22 tff(14047,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14048,plain,
% 49.29/32.22 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14049,plain,
% 49.29/32.22 (((~![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))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[14048])).
% 49.29/32.22 tff(14050,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[14049, 14047])).
% 49.29/32.22 tff(14051,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14052,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 49.29/32.22 tff(14053,plain,
% 49.29/32.22 (~v101(constB113)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14052, 90, 14046, 14043])).
% 49.29/32.22 tff(14054,plain,
% 49.29/32.22 (((~![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)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14055,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14056,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14055, 14054])).
% 49.29/32.22 tff(14057,plain,
% 49.29/32.22 (v101(constB113) | (~v100(constB113))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14056, 107, 14046])).
% 49.29/32.22 tff(14058,plain,
% 49.29/32.22 (~v100(constB113)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14057, 14053])).
% 49.29/32.22 tff(14059,plain,
% 49.29/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14060,plain,
% 49.29/32.22 (((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))) <=> (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14061,plain,
% 49.29/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))))),
% 49.29/32.22 inference(monotonicity,[status(thm)],[14060])).
% 49.29/32.22 tff(14062,plain,
% 49.29/32.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 49.29/32.22 inference(transitivity,[status(thm)],[14061, 14059])).
% 49.29/32.22 tff(14063,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14064,plain,
% 49.29/32.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14063, 14062])).
% 49.29/32.22 tff(14065,plain,
% 49.29/32.22 (v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14064, 122, 14046])).
% 49.29/32.22 tff(14066,plain,
% 49.29/32.22 (v90(constB112, 2) | (~v90(constB113, 2))),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14065, 14058])).
% 49.29/32.22 tff(14067,plain,
% 49.29/32.22 (~v90(constB113, 2)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14066, 14040])).
% 49.29/32.22 tff(14068,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14069,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.22 tff(14070,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1)),
% 49.29/32.22 inference(modus_ponens,[status(thm)],[14069, 14068])).
% 49.29/32.22 tff(14071,plain,
% 49.29/32.22 (v130(constB111, 1)),
% 49.29/32.22 inference(unit_resolution,[status(thm)],[14070, 838, 13929])).
% 49.29/32.22 tff(14072,plain,
% 49.29/32.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 49.29/32.22 inference(rewrite,[status(thm)],[])).
% 49.29/32.22 tff(14073,plain,
% 49.29/32.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 49.29/32.22 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14074,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14073, 14072])).
% 49.29/32.23 tff(14075,plain,
% 49.29/32.23 ((~v130(constB111, 1)) | v127(constB111, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14074, 852, 13969])).
% 49.29/32.23 tff(14076,plain,
% 49.29/32.23 (v127(constB111, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14075, 14071])).
% 49.29/32.23 tff(14077,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14078,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14079,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14078, 14077])).
% 49.29/32.23 tff(14080,plain,
% 49.29/32.23 ((~v127(constB111, 1)) | v129(constB112, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14079, 867, 13984])).
% 49.29/32.23 tff(14081,plain,
% 49.29/32.23 (v129(constB112, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14080, 14076])).
% 49.29/32.23 tff(14082,plain,
% 49.29/32.23 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14083,plain,
% 49.29/32.23 ((v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1))) <=> (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14084,plain,
% 49.29/32.23 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14083])).
% 49.29/32.23 tff(14085,plain,
% 49.29/32.23 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14084, 14082])).
% 49.29/32.23 tff(14086,plain,
% 49.29/32.23 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14087,plain,
% 49.29/32.23 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 49.29/32.23 tff(14088,plain,
% 49.29/32.23 (v90(constB112, 1) | (~v100(constB112))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14087, 882, 14081])).
% 49.29/32.23 tff(14089,plain,
% 49.29/32.23 (v90(constB112, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14088, 14018])).
% 49.29/32.23 tff(14090,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14091,plain,
% 49.29/32.23 (((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)) <=> ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14092,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14091])).
% 49.29/32.23 tff(14093,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14092, 14090])).
% 49.29/32.23 tff(14094,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14095,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 49.29/32.23 tff(14096,plain,
% 49.29/32.23 ((~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14095, 900, 14046])).
% 49.29/32.23 tff(14097,plain,
% 49.29/32.23 ((~v90(constB112, 1)) | v90(constB113, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14096, 14058])).
% 49.29/32.23 tff(14098,plain,
% 49.29/32.23 (v90(constB113, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14097, 14089])).
% 49.29/32.23 tff(14099,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14100,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14101,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14100, 14099])).
% 49.29/32.23 tff(14102,plain,
% 49.29/32.23 (~v130(constB111, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14101, 916, 13929])).
% 49.29/32.23 tff(14103,assumption,(v127(constB111, 0)), introduced(assumption)).
% 49.29/32.23 tff(14104,assumption,(~v130(constB111, 0)), introduced(assumption)).
% 49.29/32.23 tff(14105,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14106,plain,
% 49.29/32.23 ((v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0))) <=> ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14107,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14106])).
% 49.29/32.23 tff(14108,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14107, 14105])).
% 49.29/32.23 tff(14109,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14110,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 49.29/32.23 tff(14111,plain,
% 49.29/32.23 ((~v127(constB111, 0)) | v26(constB111)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14110, 930, 14104])).
% 49.29/32.23 tff(14112,plain,
% 49.29/32.23 (v26(constB111)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14111, 14103])).
% 49.29/32.23 tff(14113,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB111)) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB111)) | (~v127(constB111, 0)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14114,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB111)) | (~v127(constB111, 0)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14115,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB111)) | (~v127(constB111, 0))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14114, 14113])).
% 49.29/32.23 tff(14116,plain,
% 49.29/32.23 ($false),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14115, 3320, 14103, 14112])).
% 49.29/32.23 tff(14117,plain,((~v127(constB111, 0)) | v130(constB111, 0)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.23 tff(14118,plain,
% 49.29/32.23 (~v127(constB111, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14117, 14102])).
% 49.29/32.23 tff(14119,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14120,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14121,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14120, 14119])).
% 49.29/32.23 tff(14122,plain,
% 49.29/32.23 (v127(constB111, 0) | (~v129(constB112, 0))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14121, 948, 13984])).
% 49.29/32.23 tff(14123,plain,
% 49.29/32.23 (~v129(constB112, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14122, 14118])).
% 49.29/32.23 tff(14124,plain,
% 49.29/32.23 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14125,plain,
% 49.29/32.23 (((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0)) <=> ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14126,plain,
% 49.29/32.23 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14125])).
% 49.29/32.23 tff(14127,plain,
% 49.29/32.23 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14126, 14124])).
% 49.29/32.23 tff(14128,plain,
% 49.29/32.23 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14129,plain,
% 49.29/32.23 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 49.29/32.23 tff(14130,plain,
% 49.29/32.23 ((~v90(constB112, 0)) | (~v100(constB112))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14129, 963, 14123])).
% 49.29/32.23 tff(14131,plain,
% 49.29/32.23 (~v90(constB112, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14130, 14018])).
% 49.29/32.23 tff(14132,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14133,plain,
% 49.29/32.23 (((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))) <=> (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14134,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14133])).
% 49.29/32.23 tff(14135,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14134, 14132])).
% 49.29/32.23 tff(14136,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14137,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14136, 14135])).
% 49.29/32.23 tff(14138,plain,
% 49.29/32.23 (v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14137, 164, 14046])).
% 49.29/32.23 tff(14139,plain,
% 49.29/32.23 (v90(constB112, 0) | (~v90(constB113, 0))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14138, 14058])).
% 49.29/32.23 tff(14140,plain,
% 49.29/32.23 (~v90(constB113, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14139, 14131])).
% 49.29/32.23 tff(14141,assumption,(~v121(constB113)), introduced(assumption)).
% 49.29/32.23 tff(14142,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14143,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14144,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 49.29/32.23 tff(14145,plain,
% 49.29/32.23 (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14144, 990, 14141])).
% 49.29/32.23 tff(14146,plain,
% 49.29/32.23 ($false),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14145, 14140, 14098, 14067])).
% 49.29/32.23 tff(14147,plain,((~v120(constB111)) | v121(constB113)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.23 tff(14148,plain,
% 49.29/32.23 (v121(constB113)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14147, 13928])).
% 49.29/32.23 tff(14149,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14150,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14151,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14150, 14149])).
% 49.29/32.23 tff(14152,plain,
% 49.29/32.23 (v130(constB113, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14151, 1146, 14148])).
% 49.29/32.23 tff(14153,assumption,(v26(constB113)), introduced(assumption)).
% 49.29/32.23 tff(14154,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14155,plain,
% 49.29/32.23 ($false),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14154, 43, 14153])).
% 49.29/32.23 tff(14156,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.23 tff(14157,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14158,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14159,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14158, 14157])).
% 49.29/32.23 tff(14160,plain,
% 49.29/32.23 ((~v130(constB113, 1)) | v127(constB113, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14159, 852, 14156])).
% 49.29/32.23 tff(14161,plain,
% 49.29/32.23 (v127(constB113, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14160, 14152])).
% 49.29/32.23 tff(14162,plain,
% 49.29/32.23 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14163,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 49.29/32.23 tff(14164,plain,
% 49.29/32.23 (nextState(constB113, constB114)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14163, 14162])).
% 49.29/32.23 tff(14165,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14166,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14167,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14166, 14165])).
% 49.29/32.23 tff(14168,plain,
% 49.29/32.23 ((~v127(constB113, 1)) | v129(constB114, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14167, 867, 14164])).
% 49.29/32.23 tff(14169,plain,
% 49.29/32.23 (v129(constB114, 1)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14168, 14161])).
% 49.29/32.23 tff(14170,assumption,(~v90(constB114, 0)), introduced(assumption)).
% 49.29/32.23 tff(14171,assumption,(v121(constB113)), introduced(assumption)).
% 49.29/32.23 tff(14172,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14173,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14174,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14173, 14172])).
% 49.29/32.23 tff(14175,plain,
% 49.29/32.23 (v130(constB113, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14174, 1184, 14171])).
% 49.29/32.23 tff(14176,assumption,(~v26(constB113)), introduced(assumption)).
% 49.29/32.23 tff(14177,assumption,(v113(constB113)), introduced(assumption)).
% 49.29/32.23 tff(14178,plain,
% 49.29/32.23 (((~![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)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14179,plain,
% 49.29/32.23 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14180,plain,
% 49.29/32.23 (((~![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))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14179])).
% 49.29/32.23 tff(14181,plain,
% 49.29/32.23 (((~![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)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14180, 14178])).
% 49.29/32.23 tff(14182,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14183,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 49.29/32.23 tff(14184,plain,
% 49.29/32.23 (v26(constB113) | v112(constB113)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14183, 280, 14177])).
% 49.29/32.23 tff(14185,plain,
% 49.29/32.23 (v112(constB113)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14184, 14176])).
% 49.29/32.23 tff(14186,assumption,(v130(constB113, 0)), introduced(assumption)).
% 49.29/32.23 tff(14187,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14188,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14189,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14188, 14187])).
% 49.29/32.23 tff(14190,plain,
% 49.29/32.23 (v26(constB113) | v127(constB113, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14189, 515, 14186])).
% 49.29/32.23 tff(14191,plain,
% 49.29/32.23 (v127(constB113, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14190, 14176])).
% 49.29/32.23 tff(14192,plain,
% 49.29/32.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14193,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14194,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14193, 14192])).
% 49.29/32.23 tff(14195,plain,
% 49.29/32.23 ((~v127(constB113, 0)) | v129(constB114, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14194, 530, 14164])).
% 49.29/32.23 tff(14196,plain,
% 49.29/32.23 (v129(constB114, 0)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14195, 14191])).
% 49.29/32.23 tff(14197,plain,
% 49.29/32.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14198,plain,
% 49.29/32.23 ((v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0))) <=> (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14199,plain,
% 49.29/32.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14198])).
% 49.29/32.23 tff(14200,plain,
% 49.29/32.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14199, 14197])).
% 49.29/32.23 tff(14201,plain,
% 49.29/32.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14202,plain,
% 49.29/32.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14201, 14200])).
% 49.29/32.23 tff(14203,plain,
% 49.29/32.23 ((~v129(constB114, 0)) | (~v100(constB114))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14202, 545, 14170])).
% 49.29/32.23 tff(14204,plain,
% 49.29/32.23 (~v100(constB114)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14203, 14196])).
% 49.29/32.23 tff(14205,plain,
% 49.29/32.23 (((~![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)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14206,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14207,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 49.29/32.23 tff(14208,plain,
% 49.29/32.23 (~v104(constB114)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14207, 330, 14164, 14043])).
% 49.29/32.23 tff(14209,plain,
% 49.29/32.23 (((~![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)) | v102(constB114) | v104(constB114))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14210,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14211,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 49.29/32.23 tff(14212,plain,
% 49.29/32.23 (v102(constB114) | v104(constB114)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14211, 344, 14164])).
% 49.29/32.23 tff(14213,plain,
% 49.29/32.23 (v102(constB114)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14212, 14208])).
% 49.29/32.23 tff(14214,plain,
% 49.29/32.23 (v1(constB114) <=> v1(constB114)),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14215,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 49.29/32.23 tff(14216,plain,
% 49.29/32.23 (v1(constB114)),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14215, 14214])).
% 49.29/32.23 tff(14217,plain,
% 49.29/32.23 (((~![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)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14218,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14219,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 49.29/32.23 tff(14220,plain,
% 49.29/32.23 (v101(constB114) | (~v102(constB114))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14219, 362, 14164, 14216])).
% 49.29/32.23 tff(14221,plain,
% 49.29/32.23 (v101(constB114)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14220, 14213])).
% 49.29/32.23 tff(14222,plain,
% 49.29/32.23 (((~![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)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14223,plain,
% 49.29/32.23 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14224,plain,
% 49.29/32.23 (((~![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))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14223])).
% 49.29/32.23 tff(14225,plain,
% 49.29/32.23 (((~![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)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14224, 14222])).
% 49.29/32.23 tff(14226,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14227,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14226, 14225])).
% 49.29/32.23 tff(14228,plain,
% 49.29/32.23 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14227, 377, 14164])).
% 49.29/32.23 tff(14229,plain,
% 49.29/32.23 (v100(constB114) | (~v110(constB114))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14228, 14221])).
% 49.29/32.23 tff(14230,plain,
% 49.29/32.23 (~v110(constB114)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14229, 14204])).
% 49.29/32.23 tff(14231,plain,
% 49.29/32.23 (((~![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)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14232,plain,
% 49.29/32.23 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14233,plain,
% 49.29/32.23 (((~![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))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14232])).
% 49.29/32.23 tff(14234,plain,
% 49.29/32.23 (((~![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)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14233, 14231])).
% 49.29/32.23 tff(14235,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14236,plain,
% 49.29/32.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14235, 14234])).
% 49.29/32.23 tff(14237,plain,
% 49.29/32.23 (v110(constB114) | (~v108(constB113))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14236, 312, 14164])).
% 49.29/32.23 tff(14238,plain,
% 49.29/32.23 (~v108(constB113)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14237, 14230])).
% 49.29/32.23 tff(14239,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14240,plain,
% 49.29/32.23 (((~v112(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v112(constB113)))),
% 49.29/32.23 inference(rewrite,[status(thm)],[])).
% 49.29/32.23 tff(14241,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113))))),
% 49.29/32.23 inference(monotonicity,[status(thm)],[14240])).
% 49.29/32.23 tff(14242,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 49.29/32.23 inference(transitivity,[status(thm)],[14241, 14239])).
% 49.29/32.23 tff(14243,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))),
% 49.29/32.23 inference(quant_inst,[status(thm)],[])).
% 49.29/32.23 tff(14244,plain,
% 49.29/32.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113))),
% 49.29/32.23 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 49.29/32.23 tff(14245,plain,
% 49.29/32.23 ($false),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14244, 292, 14238, 14185])).
% 49.29/32.23 tff(14246,plain,(v26(constB113) | v90(constB114, 0) | (~v113(constB113)) | (~v130(constB113, 0))), inference(lemma,lemma(discharge,[]))).
% 49.29/32.23 tff(14247,plain,
% 49.29/32.23 (v90(constB114, 0) | (~v113(constB113)) | (~v130(constB113, 0))),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14246, 14156])).
% 49.29/32.23 tff(14248,plain,
% 49.29/32.23 (~v113(constB113)),
% 49.29/32.23 inference(unit_resolution,[status(thm)],[14247, 14175, 14170])).
% 49.29/32.23 tff(14249,plain,
% 49.29/32.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14250,plain,
% 49.29/32.24 (((~v114(constB113)) | v113(constB113)) <=> (v113(constB113) | (~v114(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14251,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14250])).
% 49.29/32.24 tff(14252,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14251, 14249])).
% 49.29/32.24 tff(14253,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14254,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 49.29/32.24 tff(14255,plain,
% 49.29/32.24 (~v114(constB113)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14254, 266, 14248])).
% 49.29/32.24 tff(14256,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14257,plain,
% 49.29/32.24 (((~v121(constB113)) | v117(constB113)) <=> (v117(constB113) | (~v121(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14258,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14257])).
% 49.29/32.24 tff(14259,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14258, 14256])).
% 49.29/32.24 tff(14260,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14261,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 49.29/32.24 tff(14262,plain,
% 49.29/32.24 (v117(constB113)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14261, 1001, 14171])).
% 49.29/32.24 tff(14263,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14264,plain,
% 49.29/32.24 (((~v117(constB113)) | v116(constB113)) <=> (v116(constB113) | (~v117(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14265,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14264])).
% 49.29/32.24 tff(14266,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14265, 14263])).
% 49.29/32.24 tff(14267,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14268,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 49.29/32.24 tff(14269,plain,
% 49.29/32.24 (v116(constB113)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14268, 224, 14262])).
% 49.29/32.24 tff(14270,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14271,plain,
% 49.29/32.24 (((~v116(constB113)) | v115(constB113)) <=> (v115(constB113) | (~v116(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14272,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v116(constB113))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14271])).
% 49.29/32.24 tff(14273,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14272, 14270])).
% 49.29/32.24 tff(14274,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14275,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14274, 14273])).
% 49.29/32.24 tff(14276,plain,
% 49.29/32.24 (v115(constB113)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14275, 238, 14269])).
% 49.29/32.24 tff(14277,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14278,plain,
% 49.29/32.24 (((~v115(constB113)) | v114(constB113)) <=> (v114(constB113) | (~v115(constB113)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14279,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14278])).
% 49.29/32.24 tff(14280,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14279, 14277])).
% 49.29/32.24 tff(14281,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14282,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14281, 14280])).
% 49.29/32.24 tff(14283,plain,
% 49.29/32.24 ($false),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14282, 252, 14276, 14255])).
% 49.29/32.24 tff(14284,plain,((~v121(constB113)) | v90(constB114, 0)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.24 tff(14285,plain,
% 49.29/32.24 (v90(constB114, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14284, 14148])).
% 49.29/32.24 tff(14286,plain,
% 49.29/32.24 (v118(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13932, 665, 13928])).
% 49.29/32.24 tff(14287,plain,
% 49.29/32.24 (v117(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13939, 210, 14286])).
% 49.29/32.24 tff(14288,plain,
% 49.29/32.24 (v116(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13946, 224, 14287])).
% 49.29/32.24 tff(14289,plain,
% 49.29/32.24 (v115(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13953, 238, 14288])).
% 49.29/32.24 tff(14290,plain,
% 49.29/32.24 (v114(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13960, 252, 14289])).
% 49.29/32.24 tff(14291,plain,
% 49.29/32.24 (v113(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13964, 266, 14290])).
% 49.29/32.24 tff(14292,plain,
% 49.29/32.24 (v112(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13973, 14291])).
% 49.29/32.24 tff(14293,plain,
% 49.29/32.24 (v108(constB111)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13980, 292, 14292])).
% 49.29/32.24 tff(14294,plain,
% 49.29/32.24 (v110(constB112)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[13991, 14293])).
% 49.29/32.24 tff(14295,plain,
% 49.29/32.24 (v100(constB112)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14017, 14294])).
% 49.29/32.24 tff(14296,plain,
% 49.29/32.24 (~v130(constB111, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14101, 916, 13928])).
% 49.29/32.24 tff(14297,plain,
% 49.29/32.24 (~v127(constB111, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14117, 14296])).
% 49.29/32.24 tff(14298,plain,
% 49.29/32.24 (~v129(constB112, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14122, 14297])).
% 49.29/32.24 tff(14299,plain,
% 49.29/32.24 ((~v90(constB112, 0)) | (~v100(constB112))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14129, 963, 14298])).
% 49.29/32.24 tff(14300,plain,
% 49.29/32.24 (~v90(constB112, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14299, 14295])).
% 49.29/32.24 tff(14301,plain,
% 49.29/32.24 (~v90(constB113, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14139, 14300])).
% 49.29/32.24 tff(14302,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB113, 0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB113, 0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, 0)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14303,plain,
% 49.29/32.24 (((~nextState(constB113, constB114)) | v90(constB113, 0) | v100(constB114) | (~v90(constB114, 0))) <=> (v90(constB113, 0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, 0)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14304,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB113, constB114)) | v90(constB113, 0) | v100(constB114) | (~v90(constB114, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB113, 0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, 0))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14303])).
% 49.29/32.24 tff(14305,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB113, constB114)) | v90(constB113, 0) | v100(constB114) | (~v90(constB114, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB113, 0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, 0)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14304, 14302])).
% 49.29/32.24 tff(14306,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB113, constB114)) | v90(constB113, 0) | v100(constB114) | (~v90(constB114, 0)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14307,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB113, 0) | (~nextState(constB113, constB114)) | v100(constB114) | (~v90(constB114, 0))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 49.29/32.24 tff(14308,plain,
% 49.29/32.24 (v90(constB113, 0) | v100(constB114) | (~v90(constB114, 0))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14307, 164, 14164])).
% 49.29/32.24 tff(14309,plain,
% 49.29/32.24 (v100(constB114)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14308, 14301, 14285])).
% 49.29/32.24 tff(14310,plain,
% 49.29/32.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14311,plain,
% 49.29/32.24 ((v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1))) <=> (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14312,plain,
% 49.29/32.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14311])).
% 49.29/32.24 tff(14313,plain,
% 49.29/32.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14312, 14310])).
% 49.29/32.24 tff(14314,plain,
% 49.29/32.24 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14315,plain,
% 49.29/32.24 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 49.29/32.24 tff(14316,plain,
% 49.29/32.24 (v90(constB114, 1) | (~v129(constB114, 1))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14315, 882, 14309])).
% 49.29/32.24 tff(14317,plain,
% 49.29/32.24 (v90(constB114, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14316, 14169])).
% 49.29/32.24 tff(14318,plain,
% 49.29/32.24 ((~v1(constB115)) <=> (~v1(constB115))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14319,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 49.29/32.24 tff(14320,plain,
% 49.29/32.24 (~v1(constB115)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 49.29/32.24 tff(14321,plain,
% 49.29/32.24 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14322,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 49.29/32.24 tff(14323,plain,
% 49.29/32.24 (nextState(constB114, constB115)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 49.29/32.24 tff(14324,plain,
% 49.29/32.24 (((~![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)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14325,plain,
% 49.29/32.24 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14326,plain,
% 49.29/32.24 (((~![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))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14325])).
% 49.29/32.24 tff(14327,plain,
% 49.29/32.24 (((~![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)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14326, 14324])).
% 49.29/32.24 tff(14328,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14329,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 49.29/32.24 tff(14330,plain,
% 49.29/32.24 (~v101(constB115)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14329, 90, 14323, 14320])).
% 49.29/32.24 tff(14331,plain,
% 49.29/32.24 (((~![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)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14332,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14333,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 49.29/32.24 tff(14334,plain,
% 49.29/32.24 (v101(constB115) | (~v100(constB115))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14333, 107, 14323])).
% 49.29/32.24 tff(14335,plain,
% 49.29/32.24 (~v100(constB115)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14334, 14330])).
% 49.29/32.24 tff(14336,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14337,plain,
% 49.29/32.24 (((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)) <=> ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14338,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14337])).
% 49.29/32.24 tff(14339,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14338, 14336])).
% 49.29/32.24 tff(14340,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14341,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14340, 14339])).
% 49.29/32.24 tff(14342,plain,
% 49.29/32.24 ((~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14341, 900, 14323])).
% 49.29/32.24 tff(14343,plain,
% 49.29/32.24 ((~v90(constB114, 1)) | v90(constB115, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14342, 14335])).
% 49.29/32.24 tff(14344,plain,
% 49.29/32.24 (v90(constB115, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14343, 14317])).
% 49.29/32.24 tff(14345,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14346,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14347,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 49.29/32.24 tff(14348,plain,
% 49.29/32.24 (~v130(constB113, 2)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14347, 1090, 14148])).
% 49.29/32.24 tff(14349,assumption,(v127(constB113, 2)), introduced(assumption)).
% 49.29/32.24 tff(14350,assumption,(~v130(constB113, 2)), introduced(assumption)).
% 49.29/32.24 tff(14351,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14352,plain,
% 49.29/32.24 ((v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2))) <=> ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14353,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14352])).
% 49.29/32.24 tff(14354,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14353, 14351])).
% 49.29/32.24 tff(14355,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14356,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14355, 14354])).
% 49.29/32.24 tff(14357,plain,
% 49.29/32.24 ((~v127(constB113, 2)) | v26(constB113)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14356, 593, 14350])).
% 49.29/32.24 tff(14358,plain,
% 49.29/32.24 (v26(constB113)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14357, 14349])).
% 49.29/32.24 tff(14359,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB113)) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB113)) | (~v127(constB113, 2)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14360,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB113)) | (~v127(constB113, 2)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14361,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB113)) | (~v127(constB113, 2))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14360, 14359])).
% 49.29/32.24 tff(14362,plain,
% 49.29/32.24 ($false),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14361, 788, 14349, 14358])).
% 49.29/32.24 tff(14363,plain,((~v127(constB113, 2)) | v130(constB113, 2)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.24 tff(14364,plain,
% 49.29/32.24 (~v127(constB113, 2)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14363, 14348])).
% 49.29/32.24 tff(14365,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14366,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14367,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14366, 14365])).
% 49.29/32.24 tff(14368,plain,
% 49.29/32.24 (v127(constB113, 2) | (~v129(constB114, 2))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14367, 611, 14164])).
% 49.29/32.24 tff(14369,plain,
% 49.29/32.24 (~v129(constB114, 2)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14368, 14364])).
% 49.29/32.24 tff(14370,plain,
% 49.29/32.24 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14371,plain,
% 49.29/32.24 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14372,plain,
% 49.29/32.24 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 49.29/32.24 tff(14373,plain,
% 49.29/32.24 ((~v90(constB114, 2)) | v129(constB114, 2)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14372, 626, 14309])).
% 49.29/32.24 tff(14374,plain,
% 49.29/32.24 (~v90(constB114, 2)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14373, 14369])).
% 49.29/32.24 tff(14375,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14376,plain,
% 49.29/32.24 (((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))) <=> (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14377,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14376])).
% 49.29/32.24 tff(14378,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14377, 14375])).
% 49.29/32.24 tff(14379,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14380,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 49.29/32.24 tff(14381,plain,
% 49.29/32.24 (v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14380, 122, 14323])).
% 49.29/32.24 tff(14382,plain,
% 49.29/32.24 (v90(constB114, 2) | (~v90(constB115, 2))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14381, 14335])).
% 49.29/32.24 tff(14383,plain,
% 49.29/32.24 (~v90(constB115, 2)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14382, 14374])).
% 49.29/32.24 tff(14384,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14385,plain,
% 49.29/32.24 (((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)) <=> ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14386,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14385])).
% 49.29/32.24 tff(14387,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14386, 14384])).
% 49.29/32.24 tff(14388,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14389,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14388, 14387])).
% 49.29/32.24 tff(14390,plain,
% 49.29/32.24 ((~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14389, 563, 14323])).
% 49.29/32.24 tff(14391,plain,
% 49.29/32.24 ((~v90(constB114, 0)) | v90(constB115, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14390, 14335])).
% 49.29/32.24 tff(14392,plain,
% 49.29/32.24 (v90(constB115, 0)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14391, 14285])).
% 49.29/32.24 tff(14393,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14394,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14395,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 49.29/32.24 tff(14396,plain,
% 49.29/32.24 ((~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14395, 1225, 14392])).
% 49.29/32.24 tff(14397,plain,
% 49.29/32.24 (v122(constB115)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14396, 14383, 14344])).
% 49.29/32.24 tff(14398,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14399,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14400,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14399, 14398])).
% 49.29/32.24 tff(14401,plain,
% 49.29/32.24 (~v130(constB115, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14400, 1410, 14397])).
% 49.29/32.24 tff(14402,assumption,(v26(constB115)), introduced(assumption)).
% 49.29/32.24 tff(14403,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14404,plain,
% 49.29/32.24 ($false),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14403, 43, 14402])).
% 49.29/32.24 tff(14405,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.24 tff(14406,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14407,plain,
% 49.29/32.24 ((v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1))) <=> ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14408,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14407])).
% 49.29/32.24 tff(14409,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14408, 14406])).
% 49.29/32.24 tff(14410,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14411,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14410, 14409])).
% 49.29/32.24 tff(14412,plain,
% 49.29/32.24 ((~v127(constB115, 1)) | v130(constB115, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14411, 408, 14405])).
% 49.29/32.24 tff(14413,plain,
% 49.29/32.24 (~v127(constB115, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14412, 14401])).
% 49.29/32.24 tff(14414,plain,
% 49.29/32.24 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14415,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 49.29/32.24 tff(14416,plain,
% 49.29/32.24 (nextState(constB115, constB116)),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14415, 14414])).
% 49.29/32.24 tff(14417,plain,
% 49.29/32.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14418,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14419,plain,
% 49.29/32.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14418, 14417])).
% 49.29/32.24 tff(14420,plain,
% 49.29/32.24 (v127(constB115, 1) | (~v129(constB116, 1))),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14419, 438, 14416])).
% 49.29/32.24 tff(14421,plain,
% 49.29/32.24 (~v129(constB116, 1)),
% 49.29/32.24 inference(unit_resolution,[status(thm)],[14420, 14413])).
% 49.29/32.24 tff(14422,assumption,(v122(constB115)), introduced(assumption)).
% 49.29/32.24 tff(14423,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB115) | (~v122(constB115)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v122(constB115)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14424,plain,
% 49.29/32.24 (((~v122(constB115)) | v116(constB115)) <=> (v116(constB115) | (~v122(constB115)))),
% 49.29/32.24 inference(rewrite,[status(thm)],[])).
% 49.29/32.24 tff(14425,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB115) | (~v122(constB115))))),
% 49.29/32.24 inference(monotonicity,[status(thm)],[14424])).
% 49.29/32.24 tff(14426,plain,
% 49.29/32.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v122(constB115)))),
% 49.29/32.24 inference(transitivity,[status(thm)],[14425, 14423])).
% 49.29/32.24 tff(14427,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))),
% 49.29/32.24 inference(quant_inst,[status(thm)],[])).
% 49.29/32.24 tff(14428,plain,
% 49.29/32.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v122(constB115))),
% 49.29/32.24 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 49.29/32.25 tff(14429,plain,
% 49.29/32.25 (v116(constB115)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14428, 1236, 14422])).
% 49.29/32.25 tff(14430,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14431,plain,
% 49.29/32.25 (((~v116(constB115)) | v115(constB115)) <=> (v115(constB115) | (~v116(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14432,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14431])).
% 49.29/32.25 tff(14433,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14432, 14430])).
% 49.29/32.25 tff(14434,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14435,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14434, 14433])).
% 49.29/32.25 tff(14436,plain,
% 49.29/32.25 (v115(constB115)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14435, 238, 14429])).
% 49.29/32.25 tff(14437,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14438,plain,
% 49.29/32.25 (((~v115(constB115)) | v114(constB115)) <=> (v114(constB115) | (~v115(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14439,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14438])).
% 49.29/32.25 tff(14440,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14439, 14437])).
% 49.29/32.25 tff(14441,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14442,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14441, 14440])).
% 49.29/32.25 tff(14443,plain,
% 49.29/32.25 (v114(constB115)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14442, 252, 14436])).
% 49.29/32.25 tff(14444,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14445,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14446,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14445, 14444])).
% 49.29/32.25 tff(14447,plain,
% 49.29/32.25 (~v130(constB115, 0)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14446, 1451, 14422])).
% 49.29/32.25 tff(14448,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14449,plain,
% 49.29/32.25 ((v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0))) <=> ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14450,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14449])).
% 49.29/32.25 tff(14451,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14450, 14448])).
% 49.29/32.25 tff(14452,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14453,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 49.29/32.25 tff(14454,plain,
% 49.29/32.25 ((~v127(constB115, 0)) | v130(constB115, 0)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14453, 930, 14405])).
% 49.29/32.25 tff(14455,plain,
% 49.29/32.25 (~v127(constB115, 0)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14454, 14447])).
% 49.29/32.25 tff(14456,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14457,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14458,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 49.29/32.25 tff(14459,plain,
% 49.29/32.25 (v127(constB115, 0) | (~v129(constB116, 0))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14458, 948, 14416])).
% 49.29/32.25 tff(14460,plain,
% 49.29/32.25 (~v129(constB116, 0)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14459, 14455])).
% 49.29/32.25 tff(14461,assumption,(v90(constB116, 0)), introduced(assumption)).
% 49.29/32.25 tff(14462,plain,
% 49.29/32.25 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14463,plain,
% 49.29/32.25 (((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0)) <=> ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14464,plain,
% 49.29/32.25 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14463])).
% 49.29/32.25 tff(14465,plain,
% 49.29/32.25 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14464, 14462])).
% 49.29/32.25 tff(14466,plain,
% 49.29/32.25 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14467,plain,
% 49.29/32.25 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14466, 14465])).
% 49.29/32.25 tff(14468,plain,
% 49.29/32.25 (v129(constB116, 0) | (~v100(constB116))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14467, 963, 14461])).
% 49.29/32.25 tff(14469,plain,
% 49.29/32.25 (~v100(constB116)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14468, 14460])).
% 49.29/32.25 tff(14470,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14471,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14472,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14471, 14470])).
% 49.29/32.25 tff(14473,plain,
% 49.29/32.25 (~v104(constB116)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14472, 330, 14416, 14320])).
% 49.29/32.25 tff(14474,plain,
% 49.29/32.25 (((~![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)) | v102(constB116) | v104(constB116))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14475,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14476,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14475, 14474])).
% 49.29/32.25 tff(14477,plain,
% 49.29/32.25 (v102(constB116) | v104(constB116)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14476, 344, 14416])).
% 49.29/32.25 tff(14478,plain,
% 49.29/32.25 (v102(constB116)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14477, 14473])).
% 49.29/32.25 tff(14479,plain,
% 49.29/32.25 (v1(constB116) <=> v1(constB116)),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14480,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 49.29/32.25 tff(14481,plain,
% 49.29/32.25 (v1(constB116)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14480, 14479])).
% 49.29/32.25 tff(14482,plain,
% 49.29/32.25 (((~![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)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14483,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14484,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14483, 14482])).
% 49.29/32.25 tff(14485,plain,
% 49.29/32.25 (v101(constB116) | (~v102(constB116))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14484, 362, 14416, 14481])).
% 49.29/32.25 tff(14486,plain,
% 49.29/32.25 (v101(constB116)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14485, 14478])).
% 49.29/32.25 tff(14487,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14488,plain,
% 49.29/32.25 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14489,plain,
% 49.29/32.25 (((~![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))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14488])).
% 49.29/32.25 tff(14490,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14489, 14487])).
% 49.29/32.25 tff(14491,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14492,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14491, 14490])).
% 49.29/32.25 tff(14493,plain,
% 49.29/32.25 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14492, 377, 14416])).
% 49.29/32.25 tff(14494,plain,
% 49.29/32.25 (v100(constB116) | (~v110(constB116))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14493, 14486])).
% 49.29/32.25 tff(14495,plain,
% 49.29/32.25 (~v110(constB116)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14494, 14469])).
% 49.29/32.25 tff(14496,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14497,plain,
% 49.29/32.25 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14498,plain,
% 49.29/32.25 (((~![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))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14497])).
% 49.29/32.25 tff(14499,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14498, 14496])).
% 49.29/32.25 tff(14500,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14501,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14500, 14499])).
% 49.29/32.25 tff(14502,plain,
% 49.29/32.25 (v110(constB116) | (~v108(constB115))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14501, 312, 14416])).
% 49.29/32.25 tff(14503,plain,
% 49.29/32.25 (~v108(constB115)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14502, 14495])).
% 49.29/32.25 tff(14504,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14505,plain,
% 49.29/32.25 (((~v112(constB115)) | v108(constB115)) <=> (v108(constB115) | (~v112(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14506,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14505])).
% 49.29/32.25 tff(14507,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14506, 14504])).
% 49.29/32.25 tff(14508,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14509,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 49.29/32.25 tff(14510,plain,
% 49.29/32.25 (~v112(constB115)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14509, 292, 14503])).
% 49.29/32.25 tff(14511,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14512,plain,
% 49.29/32.25 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14513,plain,
% 49.29/32.25 (((~![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) | v112(constB115) | (~v113(constB115))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14512])).
% 49.29/32.25 tff(14514,plain,
% 49.29/32.25 (((~![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) | v112(constB115) | (~v113(constB115)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14513, 14511])).
% 49.29/32.25 tff(14515,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14516,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 49.29/32.25 tff(14517,plain,
% 49.29/32.25 (v112(constB115) | (~v113(constB115))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14516, 280, 14405])).
% 49.29/32.25 tff(14518,plain,
% 49.29/32.25 (~v113(constB115)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14517, 14510])).
% 49.29/32.25 tff(14519,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB115) | (~v114(constB115)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB115) | (~v114(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14520,plain,
% 49.29/32.25 (((~v114(constB115)) | v113(constB115)) <=> (v113(constB115) | (~v114(constB115)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14521,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB115) | (~v114(constB115))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14520])).
% 49.29/32.25 tff(14522,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB115) | (~v114(constB115)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14521, 14519])).
% 49.29/32.25 tff(14523,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14524,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB115) | (~v114(constB115))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 49.29/32.25 tff(14525,plain,
% 49.29/32.25 ($false),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14524, 266, 14518, 14443])).
% 49.29/32.25 tff(14526,plain,((~v122(constB115)) | (~v90(constB116, 0))), inference(lemma,lemma(discharge,[]))).
% 49.29/32.25 tff(14527,plain,
% 49.29/32.25 (~v90(constB116, 0)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14526, 14397])).
% 49.29/32.25 tff(14528,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB115, 0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB115, 0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, 0))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14529,plain,
% 49.29/32.25 (((~nextState(constB115, constB116)) | (~v90(constB115, 0)) | v100(constB116) | v90(constB116, 0)) <=> ((~v90(constB115, 0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, 0))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14530,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, 0)) | v100(constB116) | v90(constB116, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB115, 0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, 0)))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14529])).
% 49.29/32.25 tff(14531,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, 0)) | v100(constB116) | v90(constB116, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB115, 0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, 0))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14530, 14528])).
% 49.29/32.25 tff(14532,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB115, constB116)) | (~v90(constB115, 0)) | v100(constB116) | v90(constB116, 0))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14533,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB115, 0)) | (~nextState(constB115, constB116)) | v100(constB116) | v90(constB116, 0)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14532, 14531])).
% 49.29/32.25 tff(14534,plain,
% 49.29/32.25 ((~v90(constB115, 0)) | v100(constB116) | v90(constB116, 0)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14533, 563, 14416])).
% 49.29/32.25 tff(14535,plain,
% 49.29/32.25 (v100(constB116)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14534, 14527, 14392])).
% 49.29/32.25 tff(14536,plain,
% 49.29/32.25 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14537,plain,
% 49.29/32.25 (((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1)) <=> ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14538,plain,
% 49.29/32.25 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14537])).
% 49.29/32.25 tff(14539,plain,
% 49.29/32.25 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14538, 14536])).
% 49.29/32.25 tff(14540,plain,
% 49.29/32.25 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14541,plain,
% 49.29/32.25 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 49.29/32.25 tff(14542,plain,
% 49.29/32.25 ((~v90(constB116, 1)) | v129(constB116, 1)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14541, 453, 14535])).
% 49.29/32.25 tff(14543,plain,
% 49.29/32.25 (~v90(constB116, 1)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14542, 14421])).
% 49.29/32.25 tff(14544,plain,
% 49.29/32.25 ((~v1(constB117)) <=> (~v1(constB117))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14545,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 49.29/32.25 tff(14546,plain,
% 49.29/32.25 (~v1(constB117)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 49.29/32.25 tff(14547,plain,
% 49.29/32.25 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14548,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 49.29/32.25 tff(14549,plain,
% 49.29/32.25 (nextState(constB116, constB117)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14548, 14547])).
% 49.29/32.25 tff(14550,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14551,plain,
% 49.29/32.25 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14552,plain,
% 49.29/32.25 (((~![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))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14551])).
% 49.29/32.25 tff(14553,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14552, 14550])).
% 49.29/32.25 tff(14554,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14555,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 49.29/32.25 tff(14556,plain,
% 49.29/32.25 (~v101(constB117)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14555, 90, 14549, 14546])).
% 49.29/32.25 tff(14557,plain,
% 49.29/32.25 (((~![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)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14558,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14559,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14558, 14557])).
% 49.29/32.25 tff(14560,plain,
% 49.29/32.25 (v101(constB117) | (~v100(constB117))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14559, 107, 14549])).
% 49.29/32.25 tff(14561,plain,
% 49.29/32.25 (~v100(constB117)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14560, 14556])).
% 49.29/32.25 tff(14562,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14563,plain,
% 49.29/32.25 (((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))) <=> (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14564,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14563])).
% 49.29/32.25 tff(14565,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 49.29/32.25 inference(transitivity,[status(thm)],[14564, 14562])).
% 49.29/32.25 tff(14566,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14567,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14566, 14565])).
% 49.29/32.25 tff(14568,plain,
% 49.29/32.25 (v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14567, 143, 14549])).
% 49.29/32.25 tff(14569,plain,
% 49.29/32.25 (v90(constB116, 1) | (~v90(constB117, 1))),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14568, 14561])).
% 49.29/32.25 tff(14570,plain,
% 49.29/32.25 (~v90(constB117, 1)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14569, 14543])).
% 49.29/32.25 tff(14571,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14572,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14573,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14572, 14571])).
% 49.29/32.25 tff(14574,plain,
% 49.29/32.25 (v130(constB115, 2)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14573, 1314, 14397])).
% 49.29/32.25 tff(14575,plain,
% 49.29/32.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14576,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14577,plain,
% 49.29/32.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14576, 14575])).
% 49.29/32.25 tff(14578,plain,
% 49.29/32.25 ((~v130(constB115, 2)) | v127(constB115, 2)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14577, 1328, 14405])).
% 49.29/32.25 tff(14579,plain,
% 49.29/32.25 (v127(constB115, 2)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14578, 14574])).
% 49.29/32.25 tff(14580,plain,
% 49.29/32.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14581,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 49.29/32.25 inference(quant_inst,[status(thm)],[])).
% 49.29/32.25 tff(14582,plain,
% 49.29/32.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2)),
% 49.29/32.25 inference(modus_ponens,[status(thm)],[14581, 14580])).
% 49.29/32.25 tff(14583,plain,
% 49.29/32.25 ((~v127(constB115, 2)) | v129(constB116, 2)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14582, 1343, 14416])).
% 49.29/32.25 tff(14584,plain,
% 49.29/32.25 (v129(constB116, 2)),
% 49.29/32.25 inference(unit_resolution,[status(thm)],[14583, 14579])).
% 49.29/32.25 tff(14585,plain,
% 49.29/32.25 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14586,plain,
% 49.29/32.25 ((v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2))) <=> (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 49.29/32.25 inference(rewrite,[status(thm)],[])).
% 49.29/32.25 tff(14587,plain,
% 49.29/32.25 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))))),
% 49.29/32.25 inference(monotonicity,[status(thm)],[14586])).
% 49.29/32.25 tff(14588,plain,
% 49.29/32.25 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14587, 14585])).
% 49.29/32.26 tff(14589,plain,
% 49.29/32.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14590,plain,
% 49.29/32.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14589, 14588])).
% 49.29/32.26 tff(14591,plain,
% 49.29/32.26 (v90(constB116, 2) | (~v129(constB116, 2))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14590, 1358, 14535])).
% 49.29/32.26 tff(14592,plain,
% 49.29/32.26 (v90(constB116, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14591, 14584])).
% 49.29/32.26 tff(14593,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14594,plain,
% 49.29/32.26 (((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)) <=> ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14595,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14594])).
% 49.29/32.26 tff(14596,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14595, 14593])).
% 49.29/32.26 tff(14597,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14598,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14597, 14596])).
% 49.29/32.26 tff(14599,plain,
% 49.29/32.26 ((~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14598, 1394, 14549])).
% 49.29/32.26 tff(14600,plain,
% 49.29/32.26 ((~v90(constB116, 2)) | v90(constB117, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14599, 14561])).
% 49.29/32.26 tff(14601,plain,
% 49.29/32.26 (v90(constB117, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14600, 14592])).
% 49.29/32.26 tff(14602,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14603,plain,
% 49.29/32.26 (((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))) <=> (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14604,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14603])).
% 49.29/32.26 tff(14605,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14604, 14602])).
% 49.29/32.26 tff(14606,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14607,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14606, 14605])).
% 49.29/32.26 tff(14608,plain,
% 49.29/32.26 (v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14607, 164, 14549])).
% 49.29/32.26 tff(14609,plain,
% 49.29/32.26 (v90(constB116, 0) | (~v90(constB117, 0))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14608, 14561])).
% 49.29/32.26 tff(14610,plain,
% 49.29/32.26 (~v90(constB117, 0)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14609, 14527])).
% 49.29/32.26 tff(14611,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14612,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14613,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 49.29/32.26 tff(14614,plain,
% 49.29/32.26 (v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14613, 1495, 14610])).
% 49.29/32.26 tff(14615,plain,
% 49.29/32.26 (v123(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14614, 14601, 14570])).
% 49.29/32.26 tff(14616,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14617,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14618,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 49.29/32.26 tff(14619,plain,
% 49.29/32.26 (v115(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14618, 1506, 14615])).
% 49.29/32.26 tff(14620,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14621,plain,
% 49.29/32.26 (((~v115(constB117)) | v114(constB117)) <=> (v114(constB117) | (~v115(constB117)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14622,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14621])).
% 49.29/32.26 tff(14623,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14622, 14620])).
% 49.29/32.26 tff(14624,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14625,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14624, 14623])).
% 49.29/32.26 tff(14626,plain,
% 49.29/32.26 (v114(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14625, 252, 14619])).
% 49.29/32.26 tff(14627,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14628,plain,
% 49.29/32.26 (((~v114(constB117)) | v113(constB117)) <=> (v113(constB117) | (~v114(constB117)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14629,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14628])).
% 49.29/32.26 tff(14630,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14629, 14627])).
% 49.29/32.26 tff(14631,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14632,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 49.29/32.26 tff(14633,plain,
% 49.29/32.26 (v113(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14632, 266, 14626])).
% 49.29/32.26 tff(14634,assumption,(v26(constB117)), introduced(assumption)).
% 49.29/32.26 tff(14635,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14636,plain,
% 49.29/32.26 ($false),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14635, 43, 14634])).
% 49.29/32.26 tff(14637,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.26 tff(14638,plain,
% 49.29/32.26 (((~![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) | (~v113(constB117)) | v112(constB117))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14639,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14640,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14639, 14638])).
% 49.29/32.26 tff(14641,plain,
% 49.29/32.26 ((~v113(constB117)) | v112(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14640, 280, 14637])).
% 49.29/32.26 tff(14642,plain,
% 49.29/32.26 (v112(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14641, 14633])).
% 49.29/32.26 tff(14643,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14644,plain,
% 49.29/32.26 (((~v112(constB117)) | v108(constB117)) <=> (v108(constB117) | (~v112(constB117)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14645,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14644])).
% 49.29/32.26 tff(14646,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14645, 14643])).
% 49.29/32.26 tff(14647,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14648,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14647, 14646])).
% 49.29/32.26 tff(14649,plain,
% 49.29/32.26 (v108(constB117)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14648, 292, 14642])).
% 49.29/32.26 tff(14650,plain,
% 49.29/32.26 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14651,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 49.29/32.26 tff(14652,plain,
% 49.29/32.26 (nextState(constB117, constB118)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 49.29/32.26 tff(14653,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14654,plain,
% 49.29/32.26 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14655,plain,
% 49.29/32.26 (((~![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))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14654])).
% 49.29/32.26 tff(14656,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14655, 14653])).
% 49.29/32.26 tff(14657,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14658,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14657, 14656])).
% 49.29/32.26 tff(14659,plain,
% 49.29/32.26 (v110(constB118) | (~v108(constB117))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14658, 312, 14652])).
% 49.29/32.26 tff(14660,plain,
% 49.29/32.26 (v110(constB118)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14659, 14649])).
% 49.29/32.26 tff(14661,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14662,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14663,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14662, 14661])).
% 49.29/32.26 tff(14664,plain,
% 49.29/32.26 (~v104(constB118)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14663, 330, 14652, 14546])).
% 49.29/32.26 tff(14665,plain,
% 49.29/32.26 (((~![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)) | v102(constB118) | v104(constB118))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14666,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14667,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14666, 14665])).
% 49.29/32.26 tff(14668,plain,
% 49.29/32.26 (v102(constB118) | v104(constB118)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14667, 344, 14652])).
% 49.29/32.26 tff(14669,plain,
% 49.29/32.26 (v102(constB118)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14668, 14664])).
% 49.29/32.26 tff(14670,plain,
% 49.29/32.26 (v1(constB118) <=> v1(constB118)),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14671,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 49.29/32.26 tff(14672,plain,
% 49.29/32.26 (v1(constB118)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14671, 14670])).
% 49.29/32.26 tff(14673,plain,
% 49.29/32.26 (((~![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)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14674,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14675,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14674, 14673])).
% 49.29/32.26 tff(14676,plain,
% 49.29/32.26 (v101(constB118) | (~v102(constB118))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14675, 362, 14652, 14672])).
% 49.29/32.26 tff(14677,plain,
% 49.29/32.26 (v101(constB118)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14676, 14669])).
% 49.29/32.26 tff(14678,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14679,plain,
% 49.29/32.26 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14680,plain,
% 49.29/32.26 (((~![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))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14679])).
% 49.29/32.26 tff(14681,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14680, 14678])).
% 49.29/32.26 tff(14682,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14683,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14682, 14681])).
% 49.29/32.26 tff(14684,plain,
% 49.29/32.26 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14683, 377, 14652])).
% 49.29/32.26 tff(14685,plain,
% 49.29/32.26 (v100(constB118) | (~v110(constB118))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14684, 14677])).
% 49.29/32.26 tff(14686,plain,
% 49.29/32.26 (v100(constB118)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14685, 14660])).
% 49.29/32.26 tff(14687,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14688,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14689,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14688, 14687])).
% 49.29/32.26 tff(14690,plain,
% 49.29/32.26 (v130(constB117, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14689, 1580, 14615])).
% 49.29/32.26 tff(14691,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14692,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14693,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 49.29/32.26 tff(14694,plain,
% 49.29/32.26 ((~v130(constB117, 2)) | v127(constB117, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14693, 1328, 14637])).
% 49.29/32.26 tff(14695,plain,
% 49.29/32.26 (v127(constB117, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14694, 14690])).
% 49.29/32.26 tff(14696,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14697,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14698,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 49.29/32.26 tff(14699,plain,
% 49.29/32.26 ((~v127(constB117, 2)) | v129(constB118, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14698, 1343, 14652])).
% 49.29/32.26 tff(14700,plain,
% 49.29/32.26 (v129(constB118, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14699, 14695])).
% 49.29/32.26 tff(14701,plain,
% 49.29/32.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14702,plain,
% 49.29/32.26 ((v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2))) <=> (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14703,plain,
% 49.29/32.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14702])).
% 49.29/32.26 tff(14704,plain,
% 49.29/32.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14703, 14701])).
% 49.29/32.26 tff(14705,plain,
% 49.29/32.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14706,plain,
% 49.29/32.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14705, 14704])).
% 49.29/32.26 tff(14707,plain,
% 49.29/32.26 (v90(constB118, 2) | (~v100(constB118))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14706, 1358, 14700])).
% 49.29/32.26 tff(14708,plain,
% 49.29/32.26 (v90(constB118, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14707, 14686])).
% 49.29/32.26 tff(14709,plain,
% 49.29/32.26 ((~v1(constB119)) <=> (~v1(constB119))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14710,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 49.29/32.26 tff(14711,plain,
% 49.29/32.26 (~v1(constB119)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 49.29/32.26 tff(14712,plain,
% 49.29/32.26 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14713,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 49.29/32.26 tff(14714,plain,
% 49.29/32.26 (nextState(constB118, constB119)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14713, 14712])).
% 49.29/32.26 tff(14715,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14716,plain,
% 49.29/32.26 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14717,plain,
% 49.29/32.26 (((~![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))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14716])).
% 49.29/32.26 tff(14718,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14717, 14715])).
% 49.29/32.26 tff(14719,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14720,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 49.29/32.26 tff(14721,plain,
% 49.29/32.26 (~v101(constB119)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14720, 90, 14714, 14711])).
% 49.29/32.26 tff(14722,plain,
% 49.29/32.26 (((~![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)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14723,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14724,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14723, 14722])).
% 49.29/32.26 tff(14725,plain,
% 49.29/32.26 (v101(constB119) | (~v100(constB119))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14724, 107, 14714])).
% 49.29/32.26 tff(14726,plain,
% 49.29/32.26 (~v100(constB119)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14725, 14721])).
% 49.29/32.26 tff(14727,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14728,plain,
% 49.29/32.26 (((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)) <=> ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14729,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14728])).
% 49.29/32.26 tff(14730,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14729, 14727])).
% 49.29/32.26 tff(14731,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14732,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 49.29/32.26 tff(14733,plain,
% 49.29/32.26 ((~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14732, 1394, 14714])).
% 49.29/32.26 tff(14734,plain,
% 49.29/32.26 ((~v90(constB118, 2)) | v90(constB119, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14733, 14726])).
% 49.29/32.26 tff(14735,plain,
% 49.29/32.26 (v90(constB119, 2)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14734, 14708])).
% 49.29/32.26 tff(14736,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14737,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14738,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14737, 14736])).
% 49.29/32.26 tff(14739,plain,
% 49.29/32.26 (~v130(constB117, 1)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14738, 1636, 14615])).
% 49.29/32.26 tff(14740,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14741,plain,
% 49.29/32.26 ((v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1))) <=> ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14742,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14741])).
% 49.29/32.26 tff(14743,plain,
% 49.29/32.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 49.29/32.26 inference(transitivity,[status(thm)],[14742, 14740])).
% 49.29/32.26 tff(14744,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14745,plain,
% 49.29/32.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 49.29/32.26 tff(14746,plain,
% 49.29/32.26 ((~v127(constB117, 1)) | v130(constB117, 1)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14745, 408, 14637])).
% 49.29/32.26 tff(14747,plain,
% 49.29/32.26 (~v127(constB117, 1)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14746, 14739])).
% 49.29/32.26 tff(14748,plain,
% 49.29/32.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14749,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 49.29/32.26 inference(quant_inst,[status(thm)],[])).
% 49.29/32.26 tff(14750,plain,
% 49.29/32.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1))),
% 49.29/32.26 inference(modus_ponens,[status(thm)],[14749, 14748])).
% 49.29/32.26 tff(14751,plain,
% 49.29/32.26 (v127(constB117, 1) | (~v129(constB118, 1))),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14750, 438, 14652])).
% 49.29/32.26 tff(14752,plain,
% 49.29/32.26 (~v129(constB118, 1)),
% 49.29/32.26 inference(unit_resolution,[status(thm)],[14751, 14747])).
% 49.29/32.26 tff(14753,plain,
% 49.29/32.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14754,plain,
% 49.29/32.26 (((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1)) <=> ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 49.29/32.26 inference(rewrite,[status(thm)],[])).
% 49.29/32.26 tff(14755,plain,
% 49.29/32.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))))),
% 49.29/32.26 inference(monotonicity,[status(thm)],[14754])).
% 49.29/32.26 tff(14756,plain,
% 49.29/32.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14755, 14753])).
% 49.29/32.27 tff(14757,plain,
% 49.29/32.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14758,plain,
% 49.29/32.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14757, 14756])).
% 49.29/32.27 tff(14759,plain,
% 49.29/32.27 ((~v90(constB118, 1)) | (~v100(constB118))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14758, 453, 14752])).
% 49.29/32.27 tff(14760,plain,
% 49.29/32.27 (~v90(constB118, 1)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14759, 14686])).
% 49.29/32.27 tff(14761,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14762,plain,
% 49.29/32.27 (((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))) <=> (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14763,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14762])).
% 49.29/32.27 tff(14764,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14763, 14761])).
% 49.29/32.27 tff(14765,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14766,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 49.29/32.27 tff(14767,plain,
% 49.29/32.27 (v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14766, 143, 14714])).
% 49.29/32.27 tff(14768,plain,
% 49.29/32.27 (v90(constB118, 1) | (~v90(constB119, 1))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14767, 14726])).
% 49.29/32.27 tff(14769,plain,
% 49.29/32.27 (~v90(constB119, 1)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14768, 14760])).
% 49.29/32.27 tff(14770,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14771,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14772,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 49.29/32.27 tff(14773,plain,
% 49.29/32.27 (v130(constB117, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14772, 1677, 14615])).
% 49.29/32.27 tff(14774,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14775,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14776,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 49.29/32.27 tff(14777,plain,
% 49.29/32.27 ((~v130(constB117, 0)) | v127(constB117, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14776, 515, 14637])).
% 49.29/32.27 tff(14778,plain,
% 49.29/32.27 (v127(constB117, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14777, 14773])).
% 49.29/32.27 tff(14779,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14780,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14781,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 49.29/32.27 tff(14782,plain,
% 49.29/32.27 ((~v127(constB117, 0)) | v129(constB118, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14781, 530, 14652])).
% 49.29/32.27 tff(14783,plain,
% 49.29/32.27 (v129(constB118, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14782, 14778])).
% 49.29/32.27 tff(14784,plain,
% 49.29/32.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14785,plain,
% 49.29/32.27 ((v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0))) <=> (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14786,plain,
% 49.29/32.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14785])).
% 49.29/32.27 tff(14787,plain,
% 49.29/32.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14786, 14784])).
% 49.29/32.27 tff(14788,plain,
% 49.29/32.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14789,plain,
% 49.29/32.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 49.29/32.27 tff(14790,plain,
% 49.29/32.27 (v90(constB118, 0) | (~v100(constB118))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14789, 545, 14783])).
% 49.29/32.27 tff(14791,plain,
% 49.29/32.27 (v90(constB118, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14790, 14686])).
% 49.29/32.27 tff(14792,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14793,plain,
% 49.29/32.27 (((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)) <=> ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14794,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14793])).
% 49.29/32.27 tff(14795,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14794, 14792])).
% 49.29/32.27 tff(14796,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14797,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14796, 14795])).
% 49.29/32.27 tff(14798,plain,
% 49.29/32.27 ((~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14797, 563, 14714])).
% 49.29/32.27 tff(14799,plain,
% 49.29/32.27 ((~v90(constB118, 0)) | v90(constB119, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14798, 14726])).
% 49.29/32.27 tff(14800,plain,
% 49.29/32.27 (v90(constB119, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14799, 14791])).
% 49.29/32.27 tff(14801,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14802,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14803,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 49.29/32.27 tff(14804,plain,
% 49.29/32.27 (v124(constB119)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14803, 1718, 14800, 14769, 14735])).
% 49.29/32.27 tff(14805,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v124(constB119)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14806,plain,
% 49.29/32.27 (((~v124(constB119)) | v114(constB119)) <=> (v114(constB119) | (~v124(constB119)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14807,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v124(constB119))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14806])).
% 49.29/32.27 tff(14808,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14807, 14805])).
% 49.29/32.27 tff(14809,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14810,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14809, 14808])).
% 49.29/32.27 tff(14811,plain,
% 49.29/32.27 (v114(constB119)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14810, 1775, 14804])).
% 49.29/32.27 tff(14812,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14813,plain,
% 49.29/32.27 (((~v114(constB119)) | v113(constB119)) <=> (v113(constB119) | (~v114(constB119)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14814,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14813])).
% 49.29/32.27 tff(14815,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14814, 14812])).
% 49.29/32.27 tff(14816,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14817,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14816, 14815])).
% 49.29/32.27 tff(14818,plain,
% 49.29/32.27 (v113(constB119)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14817, 266, 14811])).
% 49.29/32.27 tff(14819,assumption,(v26(constB119)), introduced(assumption)).
% 49.29/32.27 tff(14820,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14821,plain,
% 49.29/32.27 ($false),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14820, 43, 14819])).
% 49.29/32.27 tff(14822,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 49.29/32.27 tff(14823,plain,
% 49.29/32.27 (((~![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))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14824,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14825,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 49.29/32.27 tff(14826,plain,
% 49.29/32.27 ((~v113(constB119)) | v112(constB119)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14825, 280, 14822])).
% 49.29/32.27 tff(14827,plain,
% 49.29/32.27 (v112(constB119)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14826, 14818])).
% 49.29/32.27 tff(14828,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14829,plain,
% 49.29/32.27 (((~v112(constB119)) | v108(constB119)) <=> (v108(constB119) | (~v112(constB119)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14830,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14829])).
% 49.29/32.27 tff(14831,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14830, 14828])).
% 49.29/32.27 tff(14832,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14833,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 49.29/32.27 tff(14834,plain,
% 49.29/32.27 (v108(constB119)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14833, 292, 14827])).
% 49.29/32.27 tff(14835,plain,
% 49.29/32.27 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14836,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 49.29/32.27 tff(14837,plain,
% 49.29/32.27 (nextState(constB119, constB120)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14836, 14835])).
% 49.29/32.27 tff(14838,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14839,plain,
% 49.29/32.27 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14840,plain,
% 49.29/32.27 (((~![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))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14839])).
% 49.29/32.27 tff(14841,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14840, 14838])).
% 49.29/32.27 tff(14842,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14843,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 49.29/32.27 tff(14844,plain,
% 49.29/32.27 (v110(constB120) | (~v108(constB119))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14843, 312, 14837])).
% 49.29/32.27 tff(14845,plain,
% 49.29/32.27 (v110(constB120)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14844, 14834])).
% 49.29/32.27 tff(14846,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14847,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14848,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14847, 14846])).
% 49.29/32.27 tff(14849,plain,
% 49.29/32.27 (~v104(constB120)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14848, 330, 14837, 14711])).
% 49.29/32.27 tff(14850,plain,
% 49.29/32.27 (((~![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)) | v102(constB120) | v104(constB120))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14851,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14852,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 49.29/32.27 tff(14853,plain,
% 49.29/32.27 (v102(constB120) | v104(constB120)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14852, 344, 14837])).
% 49.29/32.27 tff(14854,plain,
% 49.29/32.27 (v102(constB120)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14853, 14849])).
% 49.29/32.27 tff(14855,plain,
% 49.29/32.27 (v1(constB120) <=> v1(constB120)),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14856,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 49.29/32.27 tff(14857,plain,
% 49.29/32.27 (v1(constB120)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14856, 14855])).
% 49.29/32.27 tff(14858,plain,
% 49.29/32.27 (((~![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)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14859,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14860,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 49.29/32.27 tff(14861,plain,
% 49.29/32.27 (v101(constB120) | (~v102(constB120))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14860, 362, 14837, 14857])).
% 49.29/32.27 tff(14862,plain,
% 49.29/32.27 (v101(constB120)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14861, 14854])).
% 49.29/32.27 tff(14863,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14864,plain,
% 49.29/32.27 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14865,plain,
% 49.29/32.27 (((~![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))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14864])).
% 49.29/32.27 tff(14866,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14865, 14863])).
% 49.29/32.27 tff(14867,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14868,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14867, 14866])).
% 49.29/32.27 tff(14869,plain,
% 49.29/32.27 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14868, 377, 14837])).
% 49.29/32.27 tff(14870,plain,
% 49.29/32.27 (v100(constB120) | (~v110(constB120))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14869, 14862])).
% 49.29/32.27 tff(14871,plain,
% 49.29/32.27 (v100(constB120)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14870, 14845])).
% 49.29/32.27 tff(14872,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14873,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14874,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 49.29/32.27 tff(14875,plain,
% 49.29/32.27 (~v130(constB119, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14874, 1909, 14804])).
% 49.29/32.27 tff(14876,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14877,plain,
% 49.29/32.27 ((v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0))) <=> ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14878,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14877])).
% 49.29/32.27 tff(14879,plain,
% 49.29/32.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14878, 14876])).
% 49.29/32.27 tff(14880,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14881,plain,
% 49.29/32.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14880, 14879])).
% 49.29/32.27 tff(14882,plain,
% 49.29/32.27 ((~v127(constB119, 0)) | v130(constB119, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14881, 930, 14822])).
% 49.29/32.27 tff(14883,plain,
% 49.29/32.27 (~v127(constB119, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14882, 14875])).
% 49.29/32.27 tff(14884,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14885,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14886,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 49.29/32.27 tff(14887,plain,
% 49.29/32.27 (v127(constB119, 0) | (~v129(constB120, 0))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14886, 948, 14837])).
% 49.29/32.27 tff(14888,plain,
% 49.29/32.27 (~v129(constB120, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14887, 14883])).
% 49.29/32.27 tff(14889,plain,
% 49.29/32.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14890,plain,
% 49.29/32.27 (((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0)) <=> ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14891,plain,
% 49.29/32.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14890])).
% 49.29/32.27 tff(14892,plain,
% 49.29/32.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14891, 14889])).
% 49.29/32.27 tff(14893,plain,
% 49.29/32.27 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14894,plain,
% 49.29/32.27 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14893, 14892])).
% 49.29/32.27 tff(14895,plain,
% 49.29/32.27 ((~v90(constB120, 0)) | (~v100(constB120))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14894, 963, 14888])).
% 49.29/32.27 tff(14896,plain,
% 49.29/32.27 (~v90(constB120, 0)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14895, 14871])).
% 49.29/32.27 tff(14897,plain,
% 49.29/32.27 ((~v1(constB121)) <=> (~v1(constB121))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14898,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 49.29/32.27 tff(14899,plain,
% 49.29/32.27 (~v1(constB121)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14898, 14897])).
% 49.29/32.27 tff(14900,plain,
% 49.29/32.27 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14901,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 49.29/32.27 tff(14902,plain,
% 49.29/32.27 (nextState(constB120, constB121)),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14901, 14900])).
% 49.29/32.27 tff(14903,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14904,plain,
% 49.29/32.27 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14905,plain,
% 49.29/32.27 (((~![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))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14904])).
% 49.29/32.27 tff(14906,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14905, 14903])).
% 49.29/32.27 tff(14907,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14908,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14907, 14906])).
% 49.29/32.27 tff(14909,plain,
% 49.29/32.27 (~v101(constB121)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14908, 90, 14902, 14899])).
% 49.29/32.27 tff(14910,plain,
% 49.29/32.27 (((~![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)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14911,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 49.29/32.27 inference(quant_inst,[status(thm)],[])).
% 49.29/32.27 tff(14912,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 49.29/32.27 inference(modus_ponens,[status(thm)],[14911, 14910])).
% 49.29/32.27 tff(14913,plain,
% 49.29/32.27 (v101(constB121) | (~v100(constB121))),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14912, 107, 14902])).
% 49.29/32.27 tff(14914,plain,
% 49.29/32.27 (~v100(constB121)),
% 49.29/32.27 inference(unit_resolution,[status(thm)],[14913, 14909])).
% 49.29/32.27 tff(14915,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14916,plain,
% 49.29/32.27 (((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))) <=> (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 49.29/32.27 inference(rewrite,[status(thm)],[])).
% 49.29/32.27 tff(14917,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))))),
% 49.29/32.27 inference(monotonicity,[status(thm)],[14916])).
% 49.29/32.27 tff(14918,plain,
% 49.29/32.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 49.29/32.27 inference(transitivity,[status(thm)],[14917, 14915])).
% 49.29/32.27 tff(14919,plain,
% 49.29/32.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14920,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14919, 14918])).
% 49.29/32.28 tff(14921,plain,
% 49.29/32.28 (v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14920, 164, 14902])).
% 49.29/32.28 tff(14922,plain,
% 49.29/32.28 (v90(constB120, 0) | (~v90(constB121, 0))),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14921, 14914])).
% 49.29/32.28 tff(14923,plain,
% 49.29/32.28 (~v90(constB121, 0)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14922, 14896])).
% 49.29/32.28 tff(14924,plain,
% 49.29/32.28 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ((~v88(VarCurr, 0)) | v90(VarCurr, 0)))),
% 49.29/32.28 inference(bind,[status(th)],[])).
% 49.29/32.28 tff(14925,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 49.29/32.28 inference(quant_intro,[status(thm)],[14924])).
% 49.29/32.28 tff(14926,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14927,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 49.29/32.28 tff(14928,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14927, 14926])).
% 49.29/32.28 tff(14929,plain,(
% 49.29/32.28 ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 49.29/32.28 inference(skolemize,[status(sab)],[14928])).
% 49.29/32.28 tff(14930,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14929, 14925])).
% 49.29/32.28 tff(14931,plain,
% 49.29/32.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB121, 0)) | v90(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB121, 0)) | v90(constB121, 0))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14932,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB121, 0)) | v90(constB121, 0))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14933,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB121, 0)) | v90(constB121, 0)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14932, 14931])).
% 49.29/32.28 tff(14934,plain,
% 49.29/32.28 (~v88(constB121, 0)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14933, 14930, 14923])).
% 49.29/32.28 tff(14935,plain,
% 49.29/32.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14936,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14937,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14936, 14935])).
% 49.29/32.28 tff(14938,plain,
% 49.29/32.28 (v130(constB119, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14937, 1729, 14804])).
% 49.29/32.28 tff(14939,plain,
% 49.29/32.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14940,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14941,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14940, 14939])).
% 49.29/32.28 tff(14942,plain,
% 49.29/32.28 ((~v130(constB119, 2)) | v127(constB119, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14941, 1328, 14822])).
% 49.29/32.28 tff(14943,plain,
% 49.29/32.28 (v127(constB119, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14942, 14938])).
% 49.29/32.28 tff(14944,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14945,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14946,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 49.29/32.28 tff(14947,plain,
% 49.29/32.28 ((~v127(constB119, 2)) | v129(constB120, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14946, 1343, 14837])).
% 49.29/32.28 tff(14948,plain,
% 49.29/32.28 (v129(constB120, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14947, 14943])).
% 49.29/32.28 tff(14949,plain,
% 49.29/32.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14950,plain,
% 49.29/32.28 ((v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2))) <=> (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14951,plain,
% 49.29/32.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))))),
% 49.29/32.28 inference(monotonicity,[status(thm)],[14950])).
% 49.29/32.28 tff(14952,plain,
% 49.29/32.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 49.29/32.28 inference(transitivity,[status(thm)],[14951, 14949])).
% 49.29/32.28 tff(14953,plain,
% 49.29/32.28 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14954,plain,
% 49.29/32.28 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14953, 14952])).
% 49.29/32.28 tff(14955,plain,
% 49.29/32.28 (v90(constB120, 2) | (~v100(constB120))),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14954, 1358, 14948])).
% 49.29/32.28 tff(14956,plain,
% 49.29/32.28 (v90(constB120, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14955, 14871])).
% 49.29/32.28 tff(14957,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14958,plain,
% 49.29/32.28 (((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)) <=> ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14959,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)))),
% 49.29/32.28 inference(monotonicity,[status(thm)],[14958])).
% 49.29/32.28 tff(14960,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 49.29/32.28 inference(transitivity,[status(thm)],[14959, 14957])).
% 49.29/32.28 tff(14961,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14962,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14961, 14960])).
% 49.29/32.28 tff(14963,plain,
% 49.29/32.28 ((~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14962, 1394, 14902])).
% 49.29/32.28 tff(14964,plain,
% 49.29/32.28 ((~v90(constB120, 2)) | v90(constB121, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14963, 14914])).
% 49.29/32.28 tff(14965,plain,
% 49.29/32.28 (v90(constB121, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14964, 14956])).
% 49.29/32.28 tff(14966,plain,
% 49.29/32.28 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ((~v90(VarCurr, 2)) | v88(VarCurr, 2)))),
% 49.29/32.28 inference(bind,[status(th)],[])).
% 49.29/32.28 tff(14967,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 49.29/32.28 inference(quant_intro,[status(thm)],[14966])).
% 49.29/32.28 tff(14968,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14969,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 49.29/32.28 tff(14970,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14969, 14968])).
% 49.29/32.28 tff(14971,plain,(
% 49.29/32.28 ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 49.29/32.28 inference(skolemize,[status(sab)],[14970])).
% 49.29/32.28 tff(14972,plain,
% 49.29/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14971, 14967])).
% 49.29/32.28 tff(14973,plain,
% 49.29/32.28 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB121, 2)) | v88(constB121, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB121, 2)) | v88(constB121, 2))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14974,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB121, 2)) | v88(constB121, 2))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14975,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB121, 2)) | v88(constB121, 2)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 49.29/32.28 tff(14976,plain,
% 49.29/32.28 (v88(constB121, 2)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14975, 14972, 14965])).
% 49.29/32.28 tff(14977,plain,
% 49.29/32.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14978,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14979,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 49.29/32.28 tff(14980,plain,
% 49.29/32.28 (v130(constB119, 1)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14979, 1871, 14804])).
% 49.29/32.28 tff(14981,plain,
% 49.29/32.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14982,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14983,plain,
% 49.29/32.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 49.29/32.28 tff(14984,plain,
% 49.29/32.28 ((~v130(constB119, 1)) | v127(constB119, 1)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14983, 852, 14822])).
% 49.29/32.28 tff(14985,plain,
% 49.29/32.28 (v127(constB119, 1)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14984, 14980])).
% 49.29/32.28 tff(14986,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14987,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14988,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1)),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14987, 14986])).
% 49.29/32.28 tff(14989,plain,
% 49.29/32.28 ((~v127(constB119, 1)) | v129(constB120, 1)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14988, 867, 14837])).
% 49.29/32.28 tff(14990,plain,
% 49.29/32.28 (v129(constB120, 1)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14989, 14985])).
% 49.29/32.28 tff(14991,plain,
% 49.29/32.28 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14992,plain,
% 49.29/32.28 ((v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1))) <=> (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(14993,plain,
% 49.29/32.28 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))))),
% 49.29/32.28 inference(monotonicity,[status(thm)],[14992])).
% 49.29/32.28 tff(14994,plain,
% 49.29/32.28 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 49.29/32.28 inference(transitivity,[status(thm)],[14993, 14991])).
% 49.29/32.28 tff(14995,plain,
% 49.29/32.28 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(14996,plain,
% 49.29/32.28 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))),
% 49.29/32.28 inference(modus_ponens,[status(thm)],[14995, 14994])).
% 49.29/32.28 tff(14997,plain,
% 49.29/32.28 (v90(constB120, 1) | (~v100(constB120))),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14996, 882, 14990])).
% 49.29/32.28 tff(14998,plain,
% 49.29/32.28 (v90(constB120, 1)),
% 49.29/32.28 inference(unit_resolution,[status(thm)],[14997, 14871])).
% 49.29/32.28 tff(14999,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(15000,plain,
% 49.29/32.28 (((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)) <=> ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 49.29/32.28 inference(rewrite,[status(thm)],[])).
% 49.29/32.28 tff(15001,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)))),
% 49.29/32.28 inference(monotonicity,[status(thm)],[15000])).
% 49.29/32.28 tff(15002,plain,
% 49.29/32.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 49.29/32.28 inference(transitivity,[status(thm)],[15001, 14999])).
% 49.29/32.28 tff(15003,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))),
% 49.29/32.28 inference(quant_inst,[status(thm)],[])).
% 49.29/32.28 tff(15004,plain,
% 49.29/32.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15003, 15002])).
% 49.36/32.28 tff(15005,plain,
% 49.36/32.28 ((~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15004, 900, 14902])).
% 49.36/32.28 tff(15006,plain,
% 49.36/32.28 ((~v90(constB120, 1)) | v90(constB121, 1)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15005, 14914])).
% 49.36/32.28 tff(15007,plain,
% 49.36/32.28 (v90(constB121, 1)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15006, 14998])).
% 49.36/32.28 tff(15008,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ((~v90(VarCurr, 1)) | v88(VarCurr, 1)))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15009,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15008])).
% 49.36/32.28 tff(15010,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15011,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 49.36/32.28 tff(15012,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15011, 15010])).
% 49.36/32.28 tff(15013,plain,(
% 49.36/32.28 ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15012])).
% 49.36/32.28 tff(15014,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15013, 15009])).
% 49.36/32.28 tff(15015,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB121, 1)) | v88(constB121, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB121, 1)) | v88(constB121, 1))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15016,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB121, 1)) | v88(constB121, 1))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15017,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB121, 1)) | v88(constB121, 1)),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 49.36/32.28 tff(15018,plain,
% 49.36/32.28 (v88(constB121, 1)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15017, 15014, 15007])).
% 49.36/32.28 tff(15019,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15020,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15019])).
% 49.36/32.28 tff(15021,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15022,plain,
% 49.36/32.28 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 0) | (~v88(VarCurr, 1))) <=> ((~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> (((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))))), rewrite((((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> (((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15023,plain,
% 49.36/32.28 (![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15022])).
% 49.36/32.28 tff(15024,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 49.36/32.28 tff(15025,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 49.36/32.28 tff(15026,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15025, 15021])).
% 49.36/32.28 tff(15027,plain,(
% 49.36/32.28 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15026])).
% 49.36/32.28 tff(15028,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15027, 15020])).
% 49.36/32.28 tff(15029,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB121, 0) | (~v88(constB121, 2)) | v144(constB121) | (~v88(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB121, 0) | (~v88(constB121, 2)) | v144(constB121) | (~v88(constB121, 1)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15030,plain,
% 49.36/32.28 (((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121)) <=> (v88(constB121, 0) | (~v88(constB121, 2)) | v144(constB121) | (~v88(constB121, 1)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15031,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB121, 0) | (~v88(constB121, 2)) | v144(constB121) | (~v88(constB121, 1))))),
% 49.36/32.28 inference(monotonicity,[status(thm)],[15030])).
% 49.36/32.28 tff(15032,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB121, 0) | (~v88(constB121, 2)) | v144(constB121) | (~v88(constB121, 1)))),
% 49.36/32.28 inference(transitivity,[status(thm)],[15031, 15029])).
% 49.36/32.28 tff(15033,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15034,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB121, 0) | (~v88(constB121, 2)) | v144(constB121) | (~v88(constB121, 1))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15033, 15032])).
% 49.36/32.28 tff(15035,plain,
% 49.36/32.28 (v144(constB121)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15034, 15028, 15018, 14976, 14934])).
% 49.36/32.28 tff(15036,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v142(VarCurr)) <=> ((~v144(VarCurr)) | v142(VarCurr)))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15037,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15036])).
% 49.36/32.28 tff(15038,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15039,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 49.36/32.28 tff(15040,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 49.36/32.28 tff(15041,plain,(
% 49.36/32.28 ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15040])).
% 49.36/32.28 tff(15042,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15041, 15037])).
% 49.36/32.28 tff(15043,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB121)) | v142(constB121))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB121)) | v142(constB121))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15044,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB121)) | v142(constB121))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15045,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB121)) | v142(constB121)),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15044, 15043])).
% 49.36/32.28 tff(15046,plain,
% 49.36/32.28 (v142(constB121)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15045, 15042, 15035])).
% 49.36/32.28 tff(15047,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v198(VarCurr)) <=> ((~v142(VarCurr)) | v198(VarCurr)))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15048,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15047])).
% 49.36/32.28 tff(15049,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15050,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_2')).
% 49.36/32.28 tff(15051,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15050, 15049])).
% 49.36/32.28 tff(15052,plain,(
% 49.36/32.28 ![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15051])).
% 49.36/32.28 tff(15053,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15052, 15048])).
% 49.36/32.28 tff(15054,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB121)) | v198(constB121))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB121)) | v198(constB121))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15055,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB121)) | v198(constB121))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15056,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB121)) | v198(constB121)),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15055, 15054])).
% 49.36/32.28 tff(15057,plain,
% 49.36/32.28 (v198(constB121)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15056, 15053, 15046])).
% 49.36/32.28 tff(15058,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl(((~v198(VarCurr)) | (~v201(VarCurr))) <=> ((~v198(VarCurr)) | (~v201(VarCurr))))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15059,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15058])).
% 49.36/32.28 tff(15060,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr))) <=> ![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15061,axiom,(![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_5_1_1_1')).
% 49.36/32.28 tff(15062,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15061, 15060])).
% 49.36/32.28 tff(15063,plain,(
% 49.36/32.28 ![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15062])).
% 49.36/32.28 tff(15064,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15063, 15059])).
% 49.36/32.28 tff(15065,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB121)) | (~v201(constB121)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB121)) | (~v201(constB121)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15066,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB121)) | (~v201(constB121)))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15067,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB121)) | (~v201(constB121))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 49.36/32.28 tff(15068,plain,
% 49.36/32.28 (~v201(constB121)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15067, 15064, 15057])).
% 49.36/32.28 tff(15069,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl((v197(VarCurr) | (~v198(VarCurr))) <=> (v197(VarCurr) | (~v198(VarCurr))))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15070,plain,
% 49.36/32.28 (![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15069])).
% 49.36/32.28 tff(15071,plain,
% 49.36/32.28 (![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15072,plain,
% 49.36/32.28 (^[VarCurr: state_type] : rewrite(((~v198(VarCurr)) | v197(VarCurr)) <=> (v197(VarCurr) | (~v198(VarCurr))))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15073,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v198(VarCurr)) | v197(VarCurr)) <=> ![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15072])).
% 49.36/32.28 tff(15074,axiom,(![VarCurr: state_type] : ((~v198(VarCurr)) | v197(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1')).
% 49.36/32.28 tff(15075,plain,
% 49.36/32.28 (![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15074, 15073])).
% 49.36/32.28 tff(15076,plain,
% 49.36/32.28 (![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15075, 15071])).
% 49.36/32.28 tff(15077,plain,(
% 49.36/32.28 ![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15076])).
% 49.36/32.28 tff(15078,plain,
% 49.36/32.28 (![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15077, 15070])).
% 49.36/32.28 tff(15079,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB121) | (~v198(constB121)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB121) | (~v198(constB121)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15080,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB121) | (~v198(constB121)))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15081,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB121) | (~v198(constB121))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 49.36/32.28 tff(15082,plain,
% 49.36/32.28 (v197(constB121)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15081, 15078, 15057])).
% 49.36/32.28 tff(15083,plain,
% 49.36/32.28 (^[VarNext: state_type] : refl(((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15084,plain,
% 49.36/32.28 (![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15083])).
% 49.36/32.28 tff(15085,plain,
% 49.36/32.28 (![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15086,plain,
% 49.36/32.28 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v197(VarNext)) | v227(VarNext)) <=> ((~v197(VarNext)) | v227(VarNext))), ((((~v197(VarNext)) | v227(VarNext)) | v201(VarNext)) <=> (((~v197(VarNext)) | v227(VarNext)) | v201(VarNext)))), rewrite((((~v197(VarNext)) | v227(VarNext)) | v201(VarNext)) <=> ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))), ((((~v197(VarNext)) | v227(VarNext)) | v201(VarNext)) <=> ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15087,plain,
% 49.36/32.28 (![VarNext: state_type] : (((~v197(VarNext)) | v227(VarNext)) | v201(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15086])).
% 49.36/32.28 tff(15088,axiom,(![VarNext: state_type] : (((~v197(VarNext)) | v227(VarNext)) | v201(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7_1_2')).
% 49.36/32.28 tff(15089,plain,
% 49.36/32.28 (![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15088, 15087])).
% 49.36/32.28 tff(15090,plain,
% 49.36/32.28 (![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15089, 15085])).
% 49.36/32.28 tff(15091,plain,(
% 49.36/32.28 ![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15090])).
% 49.36/32.28 tff(15092,plain,
% 49.36/32.28 (![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15091, 15084])).
% 49.36/32.28 tff(15093,plain,
% 49.36/32.28 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB121) | (~v197(constB121)) | v201(constB121))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB121) | (~v197(constB121)) | v201(constB121))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15094,plain,
% 49.36/32.28 (((~v197(constB121)) | v201(constB121) | v227(constB121)) <=> (v227(constB121) | (~v197(constB121)) | v201(constB121))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15095,plain,
% 49.36/32.28 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB121)) | v201(constB121) | v227(constB121))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB121) | (~v197(constB121)) | v201(constB121)))),
% 49.36/32.28 inference(monotonicity,[status(thm)],[15094])).
% 49.36/32.28 tff(15096,plain,
% 49.36/32.28 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB121)) | v201(constB121) | v227(constB121))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB121) | (~v197(constB121)) | v201(constB121))),
% 49.36/32.28 inference(transitivity,[status(thm)],[15095, 15093])).
% 49.36/32.28 tff(15097,plain,
% 49.36/32.28 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB121)) | v201(constB121) | v227(constB121))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15098,plain,
% 49.36/32.28 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB121) | (~v197(constB121)) | v201(constB121)),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15097, 15096])).
% 49.36/32.28 tff(15099,plain,
% 49.36/32.28 (v227(constB121)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15098, 15092, 15082, 15068])).
% 49.36/32.28 tff(15100,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl(((~v227(VarCurr)) | (~v223(VarCurr, 0))) <=> ((~v227(VarCurr)) | (~v223(VarCurr, 0))))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15101,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15100])).
% 49.36/32.28 tff(15102,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15103,plain,
% 49.36/32.28 (^[VarCurr: state_type] : rewrite(((~v223(VarCurr, 0)) | (~v227(VarCurr))) <=> ((~v227(VarCurr)) | (~v223(VarCurr, 0))))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15104,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v223(VarCurr, 0)) | (~v227(VarCurr))) <=> ![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15103])).
% 49.36/32.28 tff(15105,axiom,(![VarCurr: state_type] : ((~v223(VarCurr, 0)) | (~v227(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_15_1_1')).
% 49.36/32.28 tff(15106,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 49.36/32.28 tff(15107,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15106, 15102])).
% 49.36/32.28 tff(15108,plain,(
% 49.36/32.28 ![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15107])).
% 49.36/32.28 tff(15109,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15108, 15101])).
% 49.36/32.28 tff(15110,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB121)) | (~v223(constB121, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB121)) | (~v223(constB121, 0)))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15111,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB121)) | (~v223(constB121, 0)))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15112,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB121)) | (~v223(constB121, 0))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15111, 15110])).
% 49.36/32.28 tff(15113,plain,
% 49.36/32.28 (~v223(constB121, 0)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15112, 15109, 15099])).
% 49.36/32.28 tff(15114,plain,
% 49.36/32.28 (^[VarCurr: state_type] : refl(((~v222(VarCurr)) | v223(VarCurr, 0)) <=> ((~v222(VarCurr)) | v223(VarCurr, 0)))),
% 49.36/32.28 inference(bind,[status(th)],[])).
% 49.36/32.28 tff(15115,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))),
% 49.36/32.28 inference(quant_intro,[status(thm)],[15114])).
% 49.36/32.28 tff(15116,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15117,axiom,(![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_3')).
% 49.36/32.28 tff(15118,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15117, 15116])).
% 49.36/32.28 tff(15119,plain,(
% 49.36/32.28 ![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))),
% 49.36/32.28 inference(skolemize,[status(sab)],[15118])).
% 49.36/32.28 tff(15120,plain,
% 49.36/32.28 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15119, 15115])).
% 49.36/32.28 tff(15121,plain,
% 49.36/32.28 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB121)) | v223(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB121)) | v223(constB121, 0))),
% 49.36/32.28 inference(rewrite,[status(thm)],[])).
% 49.36/32.28 tff(15122,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB121)) | v223(constB121, 0))),
% 49.36/32.28 inference(quant_inst,[status(thm)],[])).
% 49.36/32.28 tff(15123,plain,
% 49.36/32.28 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB121)) | v223(constB121, 0)),
% 49.36/32.28 inference(modus_ponens,[status(thm)],[15122, 15121])).
% 49.36/32.28 tff(15124,plain,
% 49.36/32.28 (~v222(constB121)),
% 49.36/32.28 inference(unit_resolution,[status(thm)],[15123, 15120, 15113])).
% 49.36/32.29 tff(15125,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 1))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15126,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15125])).
% 49.36/32.29 tff(15127,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15128,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 49.36/32.29 tff(15129,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 49.36/32.29 tff(15130,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15129])).
% 49.36/32.29 tff(15131,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15130, 15126])).
% 49.36/32.29 tff(15132,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB121)) | (~v88(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB121)) | (~v88(constB121, 1)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15133,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB121)) | (~v88(constB121, 1)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15134,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB121)) | (~v88(constB121, 1))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 49.36/32.29 tff(15135,plain,
% 49.36/32.29 (~v139(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15134, 15131, 15018])).
% 49.36/32.29 tff(15136,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, 1))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15137,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15136])).
% 49.36/32.29 tff(15138,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15139,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 49.36/32.29 tff(15140,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15139, 15138])).
% 49.36/32.29 tff(15141,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15140])).
% 49.36/32.29 tff(15142,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15141, 15137])).
% 49.36/32.29 tff(15143,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB121)) | (~v88(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB121)) | (~v88(constB121, 1)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15144,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB121)) | (~v88(constB121, 1)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15145,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB121)) | (~v88(constB121, 1))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 49.36/32.29 tff(15146,plain,
% 49.36/32.29 (~v140(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15145, 15142, 15018])).
% 49.36/32.29 tff(15147,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15148,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15147])).
% 49.36/32.29 tff(15149,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15150,plain,
% 49.36/32.29 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v200(VarCurr)) | v139(VarCurr)) <=> (v139(VarCurr) | (~v200(VarCurr)))), ((((~v200(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> ((v139(VarCurr) | (~v200(VarCurr))) | v140(VarCurr)))), rewrite(((v139(VarCurr) | (~v200(VarCurr))) | v140(VarCurr)) <=> (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))), ((((~v200(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15151,plain,
% 49.36/32.29 (![VarCurr: state_type] : (((~v200(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15150])).
% 49.36/32.29 tff(15152,axiom,(![VarCurr: state_type] : (((~v200(VarCurr)) | v139(VarCurr)) | v140(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 49.36/32.29 tff(15153,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15152, 15151])).
% 49.36/32.29 tff(15154,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15153, 15149])).
% 49.36/32.29 tff(15155,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15154])).
% 49.36/32.29 tff(15156,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15155, 15148])).
% 49.36/32.29 tff(15157,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v200(constB121)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB121) | v140(constB121) | (~v200(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15158,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v200(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15159,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB121) | v140(constB121) | (~v200(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15158, 15157])).
% 49.36/32.29 tff(15160,plain,
% 49.36/32.29 (~v200(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15159, 15156, 15146, 15135])).
% 49.36/32.29 tff(15161,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v141(VarCurr)) | (~v88(VarCurr, 2))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15162,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15161])).
% 49.36/32.29 tff(15163,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15164,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_4')).
% 49.36/32.29 tff(15165,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15164, 15163])).
% 49.36/32.29 tff(15166,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15165])).
% 49.36/32.29 tff(15167,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15166, 15162])).
% 49.36/32.29 tff(15168,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB121)) | (~v88(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB121)) | (~v88(constB121, 2)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15169,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB121)) | (~v88(constB121, 2)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15170,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB121)) | (~v88(constB121, 2))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15169, 15168])).
% 49.36/32.29 tff(15171,plain,
% 49.36/32.29 (~v141(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15170, 15167, 14976])).
% 49.36/32.29 tff(15172,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr)) <=> (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr)))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15173,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15172])).
% 49.36/32.29 tff(15174,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15175,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((v141(VarCurr) | v200(VarCurr)) | (~v166(VarCurr))) <=> (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr)))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15176,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((v141(VarCurr) | v200(VarCurr)) | (~v166(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15175])).
% 49.36/32.29 tff(15177,axiom,(![VarCurr: state_type] : ((v141(VarCurr) | v200(VarCurr)) | (~v166(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1_1_1')).
% 49.36/32.29 tff(15178,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 49.36/32.29 tff(15179,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15178, 15174])).
% 49.36/32.29 tff(15180,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15179])).
% 49.36/32.29 tff(15181,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15180, 15173])).
% 49.36/32.29 tff(15182,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB121) | v200(constB121) | (~v166(constB121)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB121) | v200(constB121) | (~v166(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15183,plain,
% 49.36/32.29 ((v141(constB121) | (~v166(constB121)) | v200(constB121)) <=> (v141(constB121) | v200(constB121) | (~v166(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15184,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB121) | (~v166(constB121)) | v200(constB121))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB121) | v200(constB121) | (~v166(constB121))))),
% 49.36/32.29 inference(monotonicity,[status(thm)],[15183])).
% 49.36/32.29 tff(15185,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB121) | (~v166(constB121)) | v200(constB121))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB121) | v200(constB121) | (~v166(constB121)))),
% 49.36/32.29 inference(transitivity,[status(thm)],[15184, 15182])).
% 49.36/32.29 tff(15186,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB121) | (~v166(constB121)) | v200(constB121))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15187,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB121) | v200(constB121) | (~v166(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15186, 15185])).
% 49.36/32.29 tff(15188,plain,
% 49.36/32.29 (~v166(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15187, 15181, 15171, 15160])).
% 49.36/32.29 tff(15189,plain,
% 49.36/32.29 (^[VarNext: state_type] : refl(((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15190,plain,
% 49.36/32.29 (![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15189])).
% 49.36/32.29 tff(15191,plain,
% 49.36/32.29 (![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15192,plain,
% 49.36/32.29 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v197(VarNext)) | v241(VarNext)) <=> ((~v197(VarNext)) | v241(VarNext))), ((((~v197(VarNext)) | v241(VarNext)) | v166(VarNext)) <=> (((~v197(VarNext)) | v241(VarNext)) | v166(VarNext)))), rewrite((((~v197(VarNext)) | v241(VarNext)) | v166(VarNext)) <=> ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))), ((((~v197(VarNext)) | v241(VarNext)) | v166(VarNext)) <=> ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15193,plain,
% 49.36/32.29 (![VarNext: state_type] : (((~v197(VarNext)) | v241(VarNext)) | v166(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15192])).
% 49.36/32.29 tff(15194,axiom,(![VarNext: state_type] : (((~v197(VarNext)) | v241(VarNext)) | v166(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1_2')).
% 49.36/32.29 tff(15195,plain,
% 49.36/32.29 (![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 49.36/32.29 tff(15196,plain,
% 49.36/32.29 (![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15195, 15191])).
% 49.36/32.29 tff(15197,plain,(
% 49.36/32.29 ![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15196])).
% 49.36/32.29 tff(15198,plain,
% 49.36/32.29 (![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15197, 15190])).
% 49.36/32.29 tff(15199,plain,
% 49.36/32.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB121) | v166(constB121) | (~v197(constB121)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB121) | v166(constB121) | (~v197(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15200,plain,
% 49.36/32.29 (((~v197(constB121)) | v166(constB121) | v241(constB121)) <=> (v241(constB121) | v166(constB121) | (~v197(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15201,plain,
% 49.36/32.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB121)) | v166(constB121) | v241(constB121))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB121) | v166(constB121) | (~v197(constB121))))),
% 49.36/32.29 inference(monotonicity,[status(thm)],[15200])).
% 49.36/32.29 tff(15202,plain,
% 49.36/32.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB121)) | v166(constB121) | v241(constB121))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB121) | v166(constB121) | (~v197(constB121)))),
% 49.36/32.29 inference(transitivity,[status(thm)],[15201, 15199])).
% 49.36/32.29 tff(15203,plain,
% 49.36/32.29 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB121)) | v166(constB121) | v241(constB121))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15204,plain,
% 49.36/32.29 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB121) | v166(constB121) | (~v197(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15203, 15202])).
% 49.36/32.29 tff(15205,plain,
% 49.36/32.29 (v241(constB121) | (~v197(constB121))),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15204, 15198, 15188])).
% 49.36/32.29 tff(15206,plain,
% 49.36/32.29 (v241(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15205, 15082])).
% 49.36/32.29 tff(15207,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v241(VarCurr)) | (~v223(VarCurr, 2))) <=> ((~v241(VarCurr)) | (~v223(VarCurr, 2))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15208,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15207])).
% 49.36/32.29 tff(15209,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15210,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v223(VarCurr, 2)) | (~v241(VarCurr))) <=> ((~v241(VarCurr)) | (~v223(VarCurr, 2))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15211,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v223(VarCurr, 2)) | (~v241(VarCurr))) <=> ![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15210])).
% 49.36/32.29 tff(15212,axiom,(![VarCurr: state_type] : ((~v223(VarCurr, 2)) | (~v241(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_21_1_1')).
% 49.36/32.29 tff(15213,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15212, 15211])).
% 49.36/32.29 tff(15214,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15213, 15209])).
% 49.36/32.29 tff(15215,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15214])).
% 49.36/32.29 tff(15216,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15215, 15208])).
% 49.36/32.29 tff(15217,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB121)) | (~v223(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB121)) | (~v223(constB121, 2)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15218,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB121)) | (~v223(constB121, 2)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15219,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB121)) | (~v223(constB121, 2))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 49.36/32.29 tff(15220,plain,
% 49.36/32.29 (~v223(constB121, 2)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15219, 15216, 15206])).
% 49.36/32.29 tff(15221,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v224(VarCurr)) | v223(VarCurr, 2)) <=> ((~v224(VarCurr)) | v223(VarCurr, 2)))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15222,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15221])).
% 49.36/32.29 tff(15223,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15224,axiom,(![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_2')).
% 49.36/32.29 tff(15225,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 49.36/32.29 tff(15226,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15225])).
% 49.36/32.29 tff(15227,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15226, 15222])).
% 49.36/32.29 tff(15228,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB121)) | v223(constB121, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB121)) | v223(constB121, 2))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15229,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB121)) | v223(constB121, 2))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15230,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB121)) | v223(constB121, 2)),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15229, 15228])).
% 49.36/32.29 tff(15231,plain,
% 49.36/32.29 (~v224(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15230, 15227, 15220])).
% 49.36/32.29 tff(15232,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15233,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> ![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15232])).
% 49.36/32.29 tff(15234,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> ![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15235,plain,
% 49.36/32.29 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v236(VarCurr)) | v222(VarCurr)) <=> (v222(VarCurr) | (~v236(VarCurr)))), ((((~v236(VarCurr)) | v222(VarCurr)) | v224(VarCurr)) <=> ((v222(VarCurr) | (~v236(VarCurr))) | v224(VarCurr)))), rewrite(((v222(VarCurr) | (~v236(VarCurr))) | v224(VarCurr)) <=> (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))), ((((~v236(VarCurr)) | v222(VarCurr)) | v224(VarCurr)) <=> (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15236,plain,
% 49.36/32.29 (![VarCurr: state_type] : (((~v236(VarCurr)) | v222(VarCurr)) | v224(VarCurr)) <=> ![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15235])).
% 49.36/32.29 tff(15237,axiom,(![VarCurr: state_type] : (((~v236(VarCurr)) | v222(VarCurr)) | v224(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_3')).
% 49.36/32.29 tff(15238,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15237, 15236])).
% 49.36/32.29 tff(15239,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15238, 15234])).
% 49.36/32.29 tff(15240,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15239])).
% 49.36/32.29 tff(15241,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15240, 15233])).
% 49.36/32.29 tff(15242,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB121) | v224(constB121) | (~v236(constB121)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB121) | v224(constB121) | (~v236(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15243,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB121) | v224(constB121) | (~v236(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15244,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB121) | v224(constB121) | (~v236(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 49.36/32.29 tff(15245,plain,
% 49.36/32.29 (~v236(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15244, 15241, 15231, 15124])).
% 49.36/32.29 tff(15246,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v236(VarCurr) | (~v232(VarCurr))) <=> (v236(VarCurr) | (~v232(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15247,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr))) <=> ![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15246])).
% 49.36/32.29 tff(15248,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr))) <=> ![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15249,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v232(VarCurr)) | v236(VarCurr)) <=> (v236(VarCurr) | (~v232(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15250,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v232(VarCurr)) | v236(VarCurr)) <=> ![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15249])).
% 49.36/32.29 tff(15251,axiom,(![VarCurr: state_type] : ((~v232(VarCurr)) | v236(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_62_1_2')).
% 49.36/32.29 tff(15252,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15251, 15250])).
% 49.36/32.29 tff(15253,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15252, 15248])).
% 49.36/32.29 tff(15254,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15253])).
% 49.36/32.29 tff(15255,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15254, 15247])).
% 49.36/32.29 tff(15256,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB121) | (~v232(constB121)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB121) | (~v232(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15257,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB121) | (~v232(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15258,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB121) | (~v232(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 49.36/32.29 tff(15259,plain,
% 49.36/32.29 (~v232(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15258, 15255, 15245])).
% 49.36/32.29 tff(15260,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15261,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15260])).
% 49.36/32.29 tff(15262,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15263,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((v139(VarCurr) | v140(VarCurr)) | (~v148(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15264,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15263])).
% 49.36/32.29 tff(15265,axiom,(![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v148(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1_1')).
% 49.36/32.29 tff(15266,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15265, 15264])).
% 49.36/32.29 tff(15267,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15266, 15262])).
% 49.36/32.29 tff(15268,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15267])).
% 49.36/32.29 tff(15269,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15268, 15261])).
% 49.36/32.29 tff(15270,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v148(constB121)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB121) | v140(constB121) | (~v148(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15271,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v148(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15272,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB121) | v140(constB121) | (~v148(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 49.36/32.29 tff(15273,plain,
% 49.36/32.29 (~v148(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15272, 15269, 15146, 15135])).
% 49.36/32.29 tff(15274,plain,
% 49.36/32.29 (^[VarNext: state_type] : refl((v148(VarNext) | v252(VarNext) | (~v197(VarNext))) <=> (v148(VarNext) | v252(VarNext) | (~v197(VarNext))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15275,plain,
% 49.36/32.29 (![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext))) <=> ![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15274])).
% 49.36/32.29 tff(15276,plain,
% 49.36/32.29 (![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext))) <=> ![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15277,plain,
% 49.36/32.29 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v197(VarNext)) | v252(VarNext)) <=> (v252(VarNext) | (~v197(VarNext)))), ((((~v197(VarNext)) | v252(VarNext)) | v148(VarNext)) <=> ((v252(VarNext) | (~v197(VarNext))) | v148(VarNext)))), rewrite(((v252(VarNext) | (~v197(VarNext))) | v148(VarNext)) <=> (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))), ((((~v197(VarNext)) | v252(VarNext)) | v148(VarNext)) <=> (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15278,plain,
% 49.36/32.29 (![VarNext: state_type] : (((~v197(VarNext)) | v252(VarNext)) | v148(VarNext)) <=> ![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15277])).
% 49.36/32.29 tff(15279,axiom,(![VarNext: state_type] : (((~v197(VarNext)) | v252(VarNext)) | v148(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_2')).
% 49.36/32.29 tff(15280,plain,
% 49.36/32.29 (![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15279, 15278])).
% 49.36/32.29 tff(15281,plain,
% 49.36/32.29 (![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15280, 15276])).
% 49.36/32.29 tff(15282,plain,(
% 49.36/32.29 ![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15281])).
% 49.36/32.29 tff(15283,plain,
% 49.36/32.29 (![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15282, 15275])).
% 49.36/32.29 tff(15284,plain,
% 49.36/32.29 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB121) | v252(constB121) | (~v197(constB121)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB121) | v252(constB121) | (~v197(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15285,plain,
% 49.36/32.29 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB121) | v252(constB121) | (~v197(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15286,plain,
% 49.36/32.29 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB121) | v252(constB121) | (~v197(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15285, 15284])).
% 49.36/32.29 tff(15287,plain,
% 49.36/32.29 (v252(constB121) | (~v197(constB121))),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15286, 15283, 15273])).
% 49.36/32.29 tff(15288,plain,
% 49.36/32.29 (v252(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15287, 15082])).
% 49.36/32.29 tff(15289,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v252(VarCurr)) | (~v223(VarCurr, 3))) <=> ((~v252(VarCurr)) | (~v223(VarCurr, 3))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15290,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3))) <=> ![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15289])).
% 49.36/32.29 tff(15291,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3))) <=> ![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15292,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v223(VarCurr, 3)) | (~v252(VarCurr))) <=> ((~v252(VarCurr)) | (~v223(VarCurr, 3))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15293,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v223(VarCurr, 3)) | (~v252(VarCurr))) <=> ![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15292])).
% 49.36/32.29 tff(15294,axiom,(![VarCurr: state_type] : ((~v223(VarCurr, 3)) | (~v252(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_26_1_1')).
% 49.36/32.29 tff(15295,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15294, 15293])).
% 49.36/32.29 tff(15296,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15295, 15291])).
% 49.36/32.29 tff(15297,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15296])).
% 49.36/32.29 tff(15298,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15297, 15290])).
% 49.36/32.29 tff(15299,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB121)) | (~v223(constB121, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB121)) | (~v223(constB121, 3)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15300,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB121)) | (~v223(constB121, 3)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15301,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB121)) | (~v223(constB121, 3))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 49.36/32.29 tff(15302,plain,
% 49.36/32.29 (~v223(constB121, 3)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15301, 15298, 15288])).
% 49.36/32.29 tff(15303,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v237(VarCurr)) | v223(VarCurr, 3)) <=> ((~v237(VarCurr)) | v223(VarCurr, 3)))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15304,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3)) <=> ![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15303])).
% 49.36/32.29 tff(15305,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3)) <=> ![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15306,axiom,(![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_2')).
% 49.36/32.29 tff(15307,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 49.36/32.29 tff(15308,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15307])).
% 49.36/32.29 tff(15309,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15308, 15304])).
% 49.36/32.29 tff(15310,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB121)) | v223(constB121, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB121)) | v223(constB121, 3))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15311,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB121)) | v223(constB121, 3))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15312,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB121)) | v223(constB121, 3)),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 49.36/32.29 tff(15313,plain,
% 49.36/32.29 (~v237(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15312, 15309, 15302])).
% 49.36/32.29 tff(15314,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr))) <=> (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15315,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr))) <=> ![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15314])).
% 49.36/32.29 tff(15316,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr))) <=> ![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15317,plain,
% 49.36/32.29 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v248(VarCurr)) | v232(VarCurr)) <=> (v232(VarCurr) | (~v248(VarCurr)))), ((((~v248(VarCurr)) | v232(VarCurr)) | v237(VarCurr)) <=> ((v232(VarCurr) | (~v248(VarCurr))) | v237(VarCurr)))), rewrite(((v232(VarCurr) | (~v248(VarCurr))) | v237(VarCurr)) <=> (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))), ((((~v248(VarCurr)) | v232(VarCurr)) | v237(VarCurr)) <=> (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15318,plain,
% 49.36/32.29 (![VarCurr: state_type] : (((~v248(VarCurr)) | v232(VarCurr)) | v237(VarCurr)) <=> ![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15317])).
% 49.36/32.29 tff(15319,axiom,(![VarCurr: state_type] : (((~v248(VarCurr)) | v232(VarCurr)) | v237(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_72_1_3')).
% 49.36/32.29 tff(15320,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15319, 15318])).
% 49.36/32.29 tff(15321,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15320, 15316])).
% 49.36/32.29 tff(15322,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15321])).
% 49.36/32.29 tff(15323,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15322, 15315])).
% 49.36/32.29 tff(15324,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB121) | v237(constB121) | (~v248(constB121)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB121) | v237(constB121) | (~v248(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15325,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB121) | v237(constB121) | (~v248(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15326,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB121) | v237(constB121) | (~v248(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15325, 15324])).
% 49.36/32.29 tff(15327,plain,
% 49.36/32.29 (v232(constB121) | (~v248(constB121))),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15326, 15323, 15313])).
% 49.36/32.29 tff(15328,plain,
% 49.36/32.29 (~v248(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15327, 15259])).
% 49.36/32.29 tff(15329,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v248(VarCurr) | (~v244(VarCurr))) <=> (v248(VarCurr) | (~v244(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15330,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15329])).
% 49.36/32.29 tff(15331,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15332,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v244(VarCurr)) | v248(VarCurr)) <=> (v248(VarCurr) | (~v244(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15333,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v244(VarCurr)) | v248(VarCurr)) <=> ![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15332])).
% 49.36/32.29 tff(15334,axiom,(![VarCurr: state_type] : ((~v244(VarCurr)) | v248(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_73_1_2')).
% 49.36/32.29 tff(15335,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 49.36/32.29 tff(15336,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15335, 15331])).
% 49.36/32.29 tff(15337,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15336])).
% 49.36/32.29 tff(15338,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15337, 15330])).
% 49.36/32.29 tff(15339,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB121) | (~v244(constB121)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB121) | (~v244(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15340,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB121) | (~v244(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15341,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB121) | (~v244(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15340, 15339])).
% 49.36/32.29 tff(15342,plain,
% 49.36/32.29 (~v244(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15341, 15338, 15328])).
% 49.36/32.29 tff(15343,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v244(VarCurr) | (~v216(VarCurr, 1))) <=> (v244(VarCurr) | (~v216(VarCurr, 1))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15344,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1))) <=> ![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15343])).
% 49.36/32.29 tff(15345,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1))) <=> ![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15346,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v216(VarCurr, 1)) | v244(VarCurr)) <=> (v244(VarCurr) | (~v216(VarCurr, 1))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15347,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v216(VarCurr, 1)) | v244(VarCurr)) <=> ![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15346])).
% 49.36/32.29 tff(15348,axiom,(![VarCurr: state_type] : ((~v216(VarCurr, 1)) | v244(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_18_1_2')).
% 49.36/32.29 tff(15349,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15348, 15347])).
% 49.36/32.29 tff(15350,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15349, 15345])).
% 49.36/32.29 tff(15351,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15350])).
% 49.36/32.29 tff(15352,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15351, 15344])).
% 49.36/32.29 tff(15353,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB121) | (~v216(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB121) | (~v216(constB121, 1)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15354,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB121) | (~v216(constB121, 1)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15355,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB121) | (~v216(constB121, 1))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 49.36/32.29 tff(15356,plain,
% 49.36/32.29 (~v216(constB121, 1)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15355, 15352, 15342])).
% 49.36/32.29 tff(15357,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v254(VarCurr)) | v216(VarCurr, 1)) <=> ((~v254(VarCurr)) | v216(VarCurr, 1)))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15358,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15357])).
% 49.36/32.29 tff(15359,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15360,axiom,(![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_77_1_1_1_1')).
% 49.36/32.29 tff(15361,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15360, 15359])).
% 49.36/32.29 tff(15362,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15361])).
% 49.36/32.29 tff(15363,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15362, 15358])).
% 49.36/32.29 tff(15364,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB121)) | v216(constB121, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB121)) | v216(constB121, 1))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15365,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB121)) | v216(constB121, 1))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15366,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB121)) | v216(constB121, 1)),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15365, 15364])).
% 49.36/32.29 tff(15367,plain,
% 49.36/32.29 (~v254(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15366, 15363, 15356])).
% 49.36/32.29 tff(15368,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v224(VarCurr) | (~v221(VarCurr))) <=> (v224(VarCurr) | (~v221(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15369,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15368])).
% 49.36/32.29 tff(15370,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15371,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v221(VarCurr)) | v224(VarCurr)) <=> (v224(VarCurr) | (~v221(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15372,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v221(VarCurr)) | v224(VarCurr)) <=> ![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15371])).
% 49.36/32.29 tff(15373,axiom,(![VarCurr: state_type] : ((~v221(VarCurr)) | v224(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_2')).
% 49.36/32.29 tff(15374,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 49.36/32.29 tff(15375,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15374, 15370])).
% 49.36/32.29 tff(15376,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15375])).
% 49.36/32.29 tff(15377,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15376, 15369])).
% 49.36/32.29 tff(15378,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB121) | (~v221(constB121)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB121) | (~v221(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15379,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB121) | (~v221(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15380,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB121) | (~v221(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15379, 15378])).
% 49.36/32.29 tff(15381,plain,
% 49.36/32.29 (~v221(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15380, 15377, 15231])).
% 49.36/32.29 tff(15382,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v237(VarCurr) | (~v231(VarCurr))) <=> (v237(VarCurr) | (~v231(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15383,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15382])).
% 49.36/32.29 tff(15384,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15385,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v231(VarCurr)) | v237(VarCurr)) <=> (v237(VarCurr) | (~v231(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15386,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v231(VarCurr)) | v237(VarCurr)) <=> ![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15385])).
% 49.36/32.29 tff(15387,axiom,(![VarCurr: state_type] : ((~v231(VarCurr)) | v237(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_2')).
% 49.36/32.29 tff(15388,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 49.36/32.29 tff(15389,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15388, 15384])).
% 49.36/32.29 tff(15390,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15389])).
% 49.36/32.29 tff(15391,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15390, 15383])).
% 49.36/32.29 tff(15392,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB121) | (~v231(constB121)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB121) | (~v231(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15393,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB121) | (~v231(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15394,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB121) | (~v231(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15393, 15392])).
% 49.36/32.29 tff(15395,plain,
% 49.36/32.29 (~v231(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15394, 15391, 15313])).
% 49.36/32.29 tff(15396,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15397,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> ![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15396])).
% 49.36/32.29 tff(15398,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> ![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15399,plain,
% 49.36/32.29 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v243(VarCurr)) | v221(VarCurr)) <=> (v221(VarCurr) | (~v243(VarCurr)))), ((((~v243(VarCurr)) | v221(VarCurr)) | v231(VarCurr)) <=> ((v221(VarCurr) | (~v243(VarCurr))) | v231(VarCurr)))), rewrite(((v221(VarCurr) | (~v243(VarCurr))) | v231(VarCurr)) <=> (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))), ((((~v243(VarCurr)) | v221(VarCurr)) | v231(VarCurr)) <=> (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15400,plain,
% 49.36/32.29 (![VarCurr: state_type] : (((~v243(VarCurr)) | v221(VarCurr)) | v231(VarCurr)) <=> ![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15399])).
% 49.36/32.29 tff(15401,axiom,(![VarCurr: state_type] : (((~v243(VarCurr)) | v221(VarCurr)) | v231(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_69_1_3')).
% 49.36/32.29 tff(15402,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15401, 15400])).
% 49.36/32.29 tff(15403,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15402, 15398])).
% 49.36/32.29 tff(15404,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15403])).
% 49.36/32.29 tff(15405,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15404, 15397])).
% 49.36/32.29 tff(15406,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB121) | v231(constB121) | (~v243(constB121)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB121) | v231(constB121) | (~v243(constB121)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15407,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB121) | v231(constB121) | (~v243(constB121)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15408,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB121) | v231(constB121) | (~v243(constB121))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15407, 15406])).
% 49.36/32.29 tff(15409,plain,
% 49.36/32.29 (~v243(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15408, 15405, 15395, 15381])).
% 49.36/32.29 tff(15410,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v255(VarCurr) | v243(VarCurr)) <=> (v255(VarCurr) | v243(VarCurr)))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15411,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr)) <=> ![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15410])).
% 49.36/32.29 tff(15412,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr)) <=> ![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15413,axiom,(![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_70_1_1_2')).
% 49.36/32.29 tff(15414,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 49.36/32.29 tff(15415,plain,(
% 49.36/32.29 ![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15414])).
% 49.36/32.29 tff(15416,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15415, 15411])).
% 49.36/32.29 tff(15417,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB121) | v255(constB121))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB121) | v255(constB121))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15418,plain,
% 49.36/32.29 ((v255(constB121) | v243(constB121)) <=> (v243(constB121) | v255(constB121))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15419,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB121) | v243(constB121))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB121) | v255(constB121)))),
% 49.36/32.29 inference(monotonicity,[status(thm)],[15418])).
% 49.36/32.29 tff(15420,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB121) | v243(constB121))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB121) | v255(constB121))),
% 49.36/32.29 inference(transitivity,[status(thm)],[15419, 15417])).
% 49.36/32.29 tff(15421,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB121) | v243(constB121))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15422,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB121) | v255(constB121)),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 49.36/32.29 tff(15423,plain,
% 49.36/32.29 (v255(constB121)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15422, 15416, 15409])).
% 49.36/32.29 tff(15424,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl(((~v255(VarCurr)) | (~v216(VarCurr, 2))) <=> ((~v255(VarCurr)) | (~v216(VarCurr, 2))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15425,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15424])).
% 49.36/32.29 tff(15426,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15427,plain,
% 49.36/32.29 (^[VarCurr: state_type] : rewrite(((~v216(VarCurr, 2)) | (~v255(VarCurr))) <=> ((~v255(VarCurr)) | (~v216(VarCurr, 2))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15428,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v216(VarCurr, 2)) | (~v255(VarCurr))) <=> ![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15427])).
% 49.36/32.29 tff(15429,axiom,(![VarCurr: state_type] : ((~v216(VarCurr, 2)) | (~v255(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_27_1_1')).
% 49.36/32.29 tff(15430,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15429, 15428])).
% 49.36/32.29 tff(15431,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15430, 15426])).
% 49.36/32.29 tff(15432,plain,(
% 49.36/32.29 ![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))),
% 49.36/32.29 inference(skolemize,[status(sab)],[15431])).
% 49.36/32.29 tff(15433,plain,
% 49.36/32.29 (![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15432, 15425])).
% 49.36/32.29 tff(15434,plain,
% 49.36/32.29 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB121)) | (~v216(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB121)) | (~v216(constB121, 2)))),
% 49.36/32.29 inference(rewrite,[status(thm)],[])).
% 49.36/32.29 tff(15435,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB121)) | (~v216(constB121, 2)))),
% 49.36/32.29 inference(quant_inst,[status(thm)],[])).
% 49.36/32.29 tff(15436,plain,
% 49.36/32.29 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB121)) | (~v216(constB121, 2))),
% 49.36/32.29 inference(modus_ponens,[status(thm)],[15435, 15434])).
% 49.36/32.29 tff(15437,plain,
% 49.36/32.29 (~v216(constB121, 2)),
% 49.36/32.29 inference(unit_resolution,[status(thm)],[15436, 15433, 15423])).
% 49.36/32.29 tff(15438,plain,
% 49.36/32.29 (^[VarCurr: state_type] : refl((v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr))) <=> (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr))))),
% 49.36/32.29 inference(bind,[status(th)],[])).
% 49.36/32.29 tff(15439,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))),
% 49.36/32.29 inference(quant_intro,[status(thm)],[15438])).
% 49.36/32.29 tff(15440,plain,
% 49.36/32.29 (![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15441,plain,
% 49.36/32.30 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v215(VarCurr)) | v254(VarCurr)) <=> (v254(VarCurr) | (~v215(VarCurr)))), ((((~v215(VarCurr)) | v254(VarCurr)) | v216(VarCurr, 2)) <=> ((v254(VarCurr) | (~v215(VarCurr))) | v216(VarCurr, 2)))), rewrite(((v254(VarCurr) | (~v215(VarCurr))) | v216(VarCurr, 2)) <=> (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))), ((((~v215(VarCurr)) | v254(VarCurr)) | v216(VarCurr, 2)) <=> (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))))),
% 49.36/32.30 inference(bind,[status(th)],[])).
% 49.36/32.30 tff(15442,plain,
% 49.36/32.30 (![VarCurr: state_type] : (((~v215(VarCurr)) | v254(VarCurr)) | v216(VarCurr, 2)) <=> ![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))),
% 49.36/32.30 inference(quant_intro,[status(thm)],[15441])).
% 49.36/32.30 tff(15443,axiom,(![VarCurr: state_type] : (((~v215(VarCurr)) | v254(VarCurr)) | v216(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78_1_1_1_1')).
% 49.36/32.30 tff(15444,plain,
% 49.36/32.30 (![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15443, 15442])).
% 49.36/32.30 tff(15445,plain,
% 49.36/32.30 (![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15444, 15440])).
% 49.36/32.30 tff(15446,plain,(
% 49.36/32.30 ![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))),
% 49.36/32.30 inference(skolemize,[status(sab)],[15445])).
% 49.36/32.30 tff(15447,plain,
% 49.36/32.30 (![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15446, 15439])).
% 49.36/32.30 tff(15448,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB121, 2) | v254(constB121) | (~v215(constB121)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB121, 2) | v254(constB121) | (~v215(constB121)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15449,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB121, 2) | v254(constB121) | (~v215(constB121)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15450,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB121, 2) | v254(constB121) | (~v215(constB121))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15449, 15448])).
% 49.36/32.30 tff(15451,plain,
% 49.36/32.30 (v254(constB121) | (~v215(constB121))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15450, 15447, 15437])).
% 49.36/32.30 tff(15452,plain,
% 49.36/32.30 (~v215(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15451, 15367])).
% 49.36/32.30 tff(15453,plain,
% 49.36/32.30 ($false),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15452, 35])).
% 49.36/32.30 tff(15454,plain,(~(constB121 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.30 tff(15455,assumption,(constB193 = sK_VarCurr), introduced(assumption)).
% 49.36/32.30 tff(15456,plain,
% 49.36/32.30 (v215(constB193) <=> v215(sK_VarCurr)),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15455])).
% 49.36/32.30 tff(15457,plain,
% 49.36/32.30 (v215(sK_VarCurr) <=> v215(constB193)),
% 49.36/32.30 inference(symmetry,[status(thm)],[15456])).
% 49.36/32.30 tff(15458,plain,
% 49.36/32.30 (v215(constB193)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[34, 15457])).
% 49.36/32.30 tff(15459,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15460,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15461,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 49.36/32.30 tff(15462,plain,
% 49.36/32.30 (v125(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15461, 1953, 14923, 15007, 14965])).
% 49.36/32.30 tff(15463,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15464,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15465,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15464, 15463])).
% 49.36/32.30 tff(15466,plain,
% 49.36/32.30 (v113(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15465, 1964, 15462])).
% 49.36/32.30 tff(15467,assumption,(v26(constB121)), introduced(assumption)).
% 49.36/32.30 tff(15468,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15469,plain,
% 49.36/32.30 ($false),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15468, 43, 15467])).
% 49.36/32.30 tff(15470,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.30 tff(15471,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15472,plain,
% 49.36/32.30 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15473,plain,
% 49.36/32.30 (((~![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))))),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15472])).
% 49.36/32.30 tff(15474,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(transitivity,[status(thm)],[15473, 15471])).
% 49.36/32.30 tff(15475,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15476,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15475, 15474])).
% 49.36/32.30 tff(15477,plain,
% 49.36/32.30 (v112(constB121) | (~v113(constB121))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15476, 280, 15470])).
% 49.36/32.30 tff(15478,plain,
% 49.36/32.30 (v112(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15477, 15466])).
% 49.36/32.30 tff(15479,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15480,plain,
% 49.36/32.30 (((~v112(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v112(constB121)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15481,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121))))),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15480])).
% 49.36/32.30 tff(15482,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 49.36/32.30 inference(transitivity,[status(thm)],[15481, 15479])).
% 49.36/32.30 tff(15483,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15484,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 49.36/32.30 tff(15485,plain,
% 49.36/32.30 (v108(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15484, 292, 15478])).
% 49.36/32.30 tff(15486,plain,
% 49.36/32.30 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15487,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 49.36/32.30 tff(15488,plain,
% 49.36/32.30 (nextState(constB121, constB122)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15487, 15486])).
% 49.36/32.30 tff(15489,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15490,plain,
% 49.36/32.30 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15491,plain,
% 49.36/32.30 (((~![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))))),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15490])).
% 49.36/32.30 tff(15492,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(transitivity,[status(thm)],[15491, 15489])).
% 49.36/32.30 tff(15493,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15494,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 49.36/32.30 tff(15495,plain,
% 49.36/32.30 (v110(constB122) | (~v108(constB121))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15494, 312, 15488])).
% 49.36/32.30 tff(15496,plain,
% 49.36/32.30 (v110(constB122)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15495, 15485])).
% 49.36/32.30 tff(15497,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15498,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15499,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 49.36/32.30 tff(15500,plain,
% 49.36/32.30 (~v104(constB122)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15499, 330, 15488, 14899])).
% 49.36/32.30 tff(15501,plain,
% 49.36/32.30 (((~![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)) | v102(constB122) | v104(constB122))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15502,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15503,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15502, 15501])).
% 49.36/32.30 tff(15504,plain,
% 49.36/32.30 (v102(constB122) | v104(constB122)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15503, 344, 15488])).
% 49.36/32.30 tff(15505,plain,
% 49.36/32.30 (v102(constB122)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15504, 15500])).
% 49.36/32.30 tff(15506,plain,
% 49.36/32.30 (v1(constB122) <=> v1(constB122)),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15507,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 49.36/32.30 tff(15508,plain,
% 49.36/32.30 (v1(constB122)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 49.36/32.30 tff(15509,plain,
% 49.36/32.30 (((~![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)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15510,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15511,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15510, 15509])).
% 49.36/32.30 tff(15512,plain,
% 49.36/32.30 (v101(constB122) | (~v102(constB122))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15511, 362, 15488, 15508])).
% 49.36/32.30 tff(15513,plain,
% 49.36/32.30 (v101(constB122)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15512, 15505])).
% 49.36/32.30 tff(15514,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15515,plain,
% 49.36/32.30 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15516,plain,
% 49.36/32.30 (((~![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))))),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15515])).
% 49.36/32.30 tff(15517,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(transitivity,[status(thm)],[15516, 15514])).
% 49.36/32.30 tff(15518,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15519,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 49.36/32.30 tff(15520,plain,
% 49.36/32.30 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15519, 377, 15488])).
% 49.36/32.30 tff(15521,plain,
% 49.36/32.30 (v100(constB122) | (~v110(constB122))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15520, 15513])).
% 49.36/32.30 tff(15522,plain,
% 49.36/32.30 (v100(constB122)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15521, 15496])).
% 49.36/32.30 tff(15523,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15524,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15525,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 49.36/32.30 tff(15526,plain,
% 49.36/32.30 (~v119(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15525, 2050, 15007])).
% 49.36/32.30 tff(15527,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15528,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15529,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15528, 15527])).
% 49.36/32.30 tff(15530,plain,
% 49.36/32.30 (~v122(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15529, 2039, 14965])).
% 49.36/32.30 tff(15531,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15532,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15533,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15532, 15531])).
% 49.36/32.30 tff(15534,plain,
% 49.36/32.30 (~v123(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15533, 2072, 15007])).
% 49.36/32.30 tff(15535,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15536,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15537,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15536, 15535])).
% 49.36/32.30 tff(15538,plain,
% 49.36/32.30 (~v124(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15537, 2083, 15007])).
% 49.36/32.30 tff(15539,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15540,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15541,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15540, 15539])).
% 49.36/32.30 tff(15542,plain,
% 49.36/32.30 (~v120(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15541, 2061, 15007])).
% 49.36/32.30 tff(15543,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15544,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15545,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15544, 15543])).
% 49.36/32.30 tff(15546,plain,
% 49.36/32.30 (~v121(constB121)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15545, 2028, 14965])).
% 49.36/32.30 tff(15547,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15548,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15549,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15548, 15547])).
% 49.36/32.30 tff(15550,plain,
% 49.36/32.30 (~v130(constB121, 2)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15549, 2097, 15546, 15542, 15538, 15534, 15530, 15526])).
% 49.36/32.30 tff(15551,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15552,plain,
% 49.36/32.30 ((v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2))) <=> ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15553,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)))),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15552])).
% 49.36/32.30 tff(15554,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 49.36/32.30 inference(transitivity,[status(thm)],[15553, 15551])).
% 49.36/32.30 tff(15555,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15556,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 49.36/32.30 tff(15557,plain,
% 49.36/32.30 ((~v127(constB121, 2)) | v130(constB121, 2)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15556, 593, 15470])).
% 49.36/32.30 tff(15558,plain,
% 49.36/32.30 (~v127(constB121, 2)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15557, 15550])).
% 49.36/32.30 tff(15559,plain,
% 49.36/32.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15560,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15561,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15560, 15559])).
% 49.36/32.30 tff(15562,plain,
% 49.36/32.30 (v127(constB121, 2) | (~v129(constB122, 2))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15561, 611, 15488])).
% 49.36/32.30 tff(15563,plain,
% 49.36/32.30 (~v129(constB122, 2)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15562, 15558])).
% 49.36/32.30 tff(15564,plain,
% 49.36/32.30 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15565,plain,
% 49.36/32.30 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15566,plain,
% 49.36/32.30 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 49.36/32.30 tff(15567,plain,
% 49.36/32.30 ((~v90(constB122, 2)) | (~v100(constB122))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15566, 626, 15563])).
% 49.36/32.30 tff(15568,plain,
% 49.36/32.30 (~v90(constB122, 2)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15567, 15522])).
% 49.36/32.30 tff(15569,plain,
% 49.36/32.30 ((~v1(constB123)) <=> (~v1(constB123))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15570,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 49.36/32.30 tff(15571,plain,
% 49.36/32.30 (~v1(constB123)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15570, 15569])).
% 49.36/32.30 tff(15572,plain,
% 49.36/32.30 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15573,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 49.36/32.30 tff(15574,plain,
% 49.36/32.30 (nextState(constB122, constB123)),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 49.36/32.30 tff(15575,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15576,plain,
% 49.36/32.30 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15577,plain,
% 49.36/32.30 (((~![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))))),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15576])).
% 49.36/32.30 tff(15578,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(transitivity,[status(thm)],[15577, 15575])).
% 49.36/32.30 tff(15579,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15580,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15579, 15578])).
% 49.36/32.30 tff(15581,plain,
% 49.36/32.30 (~v101(constB123)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15580, 90, 15574, 15571])).
% 49.36/32.30 tff(15582,plain,
% 49.36/32.30 (((~![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)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15583,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15584,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15583, 15582])).
% 49.36/32.30 tff(15585,plain,
% 49.36/32.30 (v101(constB123) | (~v100(constB123))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15584, 107, 15574])).
% 49.36/32.30 tff(15586,plain,
% 49.36/32.30 (~v100(constB123)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15585, 15581])).
% 49.36/32.30 tff(15587,plain,
% 49.36/32.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15588,plain,
% 49.36/32.30 (((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))) <=> (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15589,plain,
% 49.36/32.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))))),
% 49.36/32.30 inference(monotonicity,[status(thm)],[15588])).
% 49.36/32.30 tff(15590,plain,
% 49.36/32.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 49.36/32.30 inference(transitivity,[status(thm)],[15589, 15587])).
% 49.36/32.30 tff(15591,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15592,plain,
% 49.36/32.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15591, 15590])).
% 49.36/32.30 tff(15593,plain,
% 49.36/32.30 (v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15592, 122, 15574])).
% 49.36/32.30 tff(15594,plain,
% 49.36/32.30 (v90(constB122, 2) | (~v90(constB123, 2))),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15593, 15586])).
% 49.36/32.30 tff(15595,plain,
% 49.36/32.30 (~v90(constB123, 2)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15594, 15568])).
% 49.36/32.30 tff(15596,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 49.36/32.30 inference(rewrite,[status(thm)],[])).
% 49.36/32.30 tff(15597,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 49.36/32.30 inference(quant_inst,[status(thm)],[])).
% 49.36/32.30 tff(15598,plain,
% 49.36/32.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1))),
% 49.36/32.30 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 49.36/32.30 tff(15599,plain,
% 49.36/32.30 (~v130(constB121, 1)),
% 49.36/32.30 inference(unit_resolution,[status(thm)],[15598, 2156, 15546, 15542, 15538, 15534, 15530, 15526])).
% 49.36/32.30 tff(15600,plain,
% 49.36/32.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15601,plain,
% 49.36/32.31 ((v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1))) <=> ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15602,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15601])).
% 49.36/32.31 tff(15603,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15602, 15600])).
% 49.36/32.31 tff(15604,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15605,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 49.36/32.31 tff(15606,plain,
% 49.36/32.31 ((~v127(constB121, 1)) | v130(constB121, 1)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15605, 408, 15470])).
% 49.36/32.31 tff(15607,plain,
% 49.36/32.31 (~v127(constB121, 1)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15606, 15599])).
% 49.36/32.31 tff(15608,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15609,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15610,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 49.36/32.31 tff(15611,plain,
% 49.36/32.31 (v127(constB121, 1) | (~v129(constB122, 1))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15610, 438, 15488])).
% 49.36/32.31 tff(15612,plain,
% 49.36/32.31 (~v129(constB122, 1)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15611, 15607])).
% 49.36/32.31 tff(15613,plain,
% 49.36/32.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15614,plain,
% 49.36/32.31 (((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1)) <=> ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15615,plain,
% 49.36/32.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15614])).
% 49.36/32.31 tff(15616,plain,
% 49.36/32.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15615, 15613])).
% 49.36/32.31 tff(15617,plain,
% 49.36/32.31 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15618,plain,
% 49.36/32.31 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15617, 15616])).
% 49.36/32.31 tff(15619,plain,
% 49.36/32.31 ((~v90(constB122, 1)) | (~v100(constB122))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15618, 453, 15612])).
% 49.36/32.31 tff(15620,plain,
% 49.36/32.31 (~v90(constB122, 1)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15619, 15522])).
% 49.36/32.31 tff(15621,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15622,plain,
% 49.36/32.31 (((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))) <=> (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15623,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15622])).
% 49.36/32.31 tff(15624,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15623, 15621])).
% 49.36/32.31 tff(15625,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15626,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15625, 15624])).
% 49.36/32.31 tff(15627,plain,
% 49.36/32.31 (v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15626, 143, 15574])).
% 49.36/32.31 tff(15628,plain,
% 49.36/32.31 (v90(constB122, 1) | (~v90(constB123, 1))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15627, 15586])).
% 49.36/32.31 tff(15629,plain,
% 49.36/32.31 (~v90(constB123, 1)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15628, 15620])).
% 49.36/32.31 tff(15630,assumption,(~v120(constB121)), introduced(assumption)).
% 49.36/32.31 tff(15631,assumption,(~v121(constB121)), introduced(assumption)).
% 49.36/32.31 tff(15632,assumption,(~v130(constB121, 0)), introduced(assumption)).
% 49.36/32.31 tff(15633,assumption,(~v122(constB121)), introduced(assumption)).
% 49.36/32.31 tff(15634,assumption,(~v123(constB121)), introduced(assumption)).
% 49.36/32.31 tff(15635,assumption,(~v124(constB121)), introduced(assumption)).
% 49.36/32.31 tff(15636,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15637,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15638,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15637, 15636])).
% 49.36/32.31 tff(15639,plain,
% 49.36/32.31 (v119(constB121) | v120(constB121) | v121(constB121) | v130(constB121, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15638, 2200, 15635, 15634, 15633])).
% 49.36/32.31 tff(15640,plain,
% 49.36/32.31 (v119(constB121)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15639, 15632, 15631, 15630])).
% 49.36/32.31 tff(15641,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB121)) | v130(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB121)) | v130(constB121, 0))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15642,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB121)) | v130(constB121, 0))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15643,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB121)) | v130(constB121, 0)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 49.36/32.31 tff(15644,plain,
% 49.36/32.31 ($false),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15643, 501, 15632, 15640])).
% 49.36/32.31 tff(15645,plain,(v130(constB121, 0) | v121(constB121) | v120(constB121) | v124(constB121) | v123(constB121) | v122(constB121)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.31 tff(15646,plain,
% 49.36/32.31 (v130(constB121, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15645, 15538, 15546, 15530, 15542, 15534])).
% 49.36/32.31 tff(15647,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15648,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15649,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15648, 15647])).
% 49.36/32.31 tff(15650,plain,
% 49.36/32.31 ((~v130(constB121, 0)) | v127(constB121, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15649, 515, 15470])).
% 49.36/32.31 tff(15651,plain,
% 49.36/32.31 (v127(constB121, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15650, 15646])).
% 49.36/32.31 tff(15652,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15653,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15654,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15653, 15652])).
% 49.36/32.31 tff(15655,plain,
% 49.36/32.31 ((~v127(constB121, 0)) | v129(constB122, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15654, 530, 15488])).
% 49.36/32.31 tff(15656,plain,
% 49.36/32.31 (v129(constB122, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15655, 15651])).
% 49.36/32.31 tff(15657,plain,
% 49.36/32.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15658,plain,
% 49.36/32.31 ((v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0))) <=> (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15659,plain,
% 49.36/32.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15658])).
% 49.36/32.31 tff(15660,plain,
% 49.36/32.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15659, 15657])).
% 49.36/32.31 tff(15661,plain,
% 49.36/32.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15662,plain,
% 49.36/32.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 49.36/32.31 tff(15663,plain,
% 49.36/32.31 (v90(constB122, 0) | (~v100(constB122))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15662, 545, 15656])).
% 49.36/32.31 tff(15664,plain,
% 49.36/32.31 (v90(constB122, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15663, 15522])).
% 49.36/32.31 tff(15665,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15666,plain,
% 49.36/32.31 (((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)) <=> ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15667,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15666])).
% 49.36/32.31 tff(15668,plain,
% 49.36/32.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15667, 15665])).
% 49.36/32.31 tff(15669,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15670,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 49.36/32.31 tff(15671,plain,
% 49.36/32.31 ((~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15670, 563, 15574])).
% 49.36/32.31 tff(15672,plain,
% 49.36/32.31 ((~v90(constB122, 0)) | v90(constB123, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15671, 15586])).
% 49.36/32.31 tff(15673,plain,
% 49.36/32.31 (v90(constB123, 0)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15672, 15664])).
% 49.36/32.31 tff(15674,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15675,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15676,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15675, 15674])).
% 49.36/32.31 tff(15677,plain,
% 49.36/32.31 (v120(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15676, 651, 15673, 15629, 15595])).
% 49.36/32.31 tff(15678,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15679,plain,
% 49.36/32.31 (((~v120(constB123)) | v118(constB123)) <=> (v118(constB123) | (~v120(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15680,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v120(constB123))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15679])).
% 49.36/32.31 tff(15681,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15680, 15678])).
% 49.36/32.31 tff(15682,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15683,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15682, 15681])).
% 49.36/32.31 tff(15684,plain,
% 49.36/32.31 (v118(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15683, 665, 15677])).
% 49.36/32.31 tff(15685,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15686,plain,
% 49.36/32.31 (((~v118(constB123)) | v117(constB123)) <=> (v117(constB123) | (~v118(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15687,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15686])).
% 49.36/32.31 tff(15688,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15687, 15685])).
% 49.36/32.31 tff(15689,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15690,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 49.36/32.31 tff(15691,plain,
% 49.36/32.31 (v117(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15690, 210, 15684])).
% 49.36/32.31 tff(15692,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15693,plain,
% 49.36/32.31 (((~v117(constB123)) | v116(constB123)) <=> (v116(constB123) | (~v117(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15694,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15693])).
% 49.36/32.31 tff(15695,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15694, 15692])).
% 49.36/32.31 tff(15696,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15697,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15696, 15695])).
% 49.36/32.31 tff(15698,plain,
% 49.36/32.31 (v116(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15697, 224, 15691])).
% 49.36/32.31 tff(15699,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15700,plain,
% 49.36/32.31 (((~v116(constB123)) | v115(constB123)) <=> (v115(constB123) | (~v116(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15701,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15700])).
% 49.36/32.31 tff(15702,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15701, 15699])).
% 49.36/32.31 tff(15703,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15704,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15703, 15702])).
% 49.36/32.31 tff(15705,plain,
% 49.36/32.31 (v115(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15704, 238, 15698])).
% 49.36/32.31 tff(15706,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15707,plain,
% 49.36/32.31 (((~v115(constB123)) | v114(constB123)) <=> (v114(constB123) | (~v115(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15708,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15707])).
% 49.36/32.31 tff(15709,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15708, 15706])).
% 49.36/32.31 tff(15710,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15711,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15710, 15709])).
% 49.36/32.31 tff(15712,plain,
% 49.36/32.31 (v114(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15711, 252, 15705])).
% 49.36/32.31 tff(15713,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15714,plain,
% 49.36/32.31 (((~v114(constB123)) | v113(constB123)) <=> (v113(constB123) | (~v114(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15715,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15714])).
% 49.36/32.31 tff(15716,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15715, 15713])).
% 49.36/32.31 tff(15717,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15718,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 49.36/32.31 tff(15719,plain,
% 49.36/32.31 (v113(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15718, 266, 15712])).
% 49.36/32.31 tff(15720,assumption,(v26(constB123)), introduced(assumption)).
% 49.36/32.31 tff(15721,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15722,plain,
% 49.36/32.31 ($false),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15721, 43, 15720])).
% 49.36/32.31 tff(15723,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.31 tff(15724,plain,
% 49.36/32.31 (((~![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)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15725,plain,
% 49.36/32.31 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15726,plain,
% 49.36/32.31 (((~![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))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15725])).
% 49.36/32.31 tff(15727,plain,
% 49.36/32.31 (((~![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)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15726, 15724])).
% 49.36/32.31 tff(15728,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15729,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 49.36/32.31 tff(15730,plain,
% 49.36/32.31 (v112(constB123) | (~v113(constB123))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15729, 280, 15723])).
% 49.36/32.31 tff(15731,plain,
% 49.36/32.31 (v112(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15730, 15719])).
% 49.36/32.31 tff(15732,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15733,plain,
% 49.36/32.31 (((~v112(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v112(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15734,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15733])).
% 49.36/32.31 tff(15735,plain,
% 49.36/32.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15734, 15732])).
% 49.36/32.31 tff(15736,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15737,plain,
% 49.36/32.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15736, 15735])).
% 49.36/32.31 tff(15738,plain,
% 49.36/32.31 (v108(constB123)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15737, 292, 15731])).
% 49.36/32.31 tff(15739,plain,
% 49.36/32.31 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15740,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 49.36/32.31 tff(15741,plain,
% 49.36/32.31 (nextState(constB123, constB124)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15740, 15739])).
% 49.36/32.31 tff(15742,plain,
% 49.36/32.31 (((~![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)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15743,plain,
% 49.36/32.31 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15744,plain,
% 49.36/32.31 (((~![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))))),
% 49.36/32.31 inference(monotonicity,[status(thm)],[15743])).
% 49.36/32.31 tff(15745,plain,
% 49.36/32.31 (((~![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)))),
% 49.36/32.31 inference(transitivity,[status(thm)],[15744, 15742])).
% 49.36/32.31 tff(15746,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15747,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15746, 15745])).
% 49.36/32.31 tff(15748,plain,
% 49.36/32.31 (v110(constB124) | (~v108(constB123))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15747, 312, 15741])).
% 49.36/32.31 tff(15749,plain,
% 49.36/32.31 (v110(constB124)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15748, 15738])).
% 49.36/32.31 tff(15750,plain,
% 49.36/32.31 (((~![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)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15751,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15752,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15751, 15750])).
% 49.36/32.31 tff(15753,plain,
% 49.36/32.31 (~v104(constB124)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15752, 330, 15741, 15571])).
% 49.36/32.31 tff(15754,plain,
% 49.36/32.31 (((~![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)) | v102(constB124) | v104(constB124))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15755,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15756,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15755, 15754])).
% 49.36/32.31 tff(15757,plain,
% 49.36/32.31 (v102(constB124) | v104(constB124)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15756, 344, 15741])).
% 49.36/32.31 tff(15758,plain,
% 49.36/32.31 (v102(constB124)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15757, 15753])).
% 49.36/32.31 tff(15759,plain,
% 49.36/32.31 (v1(constB124) <=> v1(constB124)),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15760,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 49.36/32.31 tff(15761,plain,
% 49.36/32.31 (v1(constB124)),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 49.36/32.31 tff(15762,plain,
% 49.36/32.31 (((~![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)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15763,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 49.36/32.31 inference(quant_inst,[status(thm)],[])).
% 49.36/32.31 tff(15764,plain,
% 49.36/32.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 49.36/32.31 inference(modus_ponens,[status(thm)],[15763, 15762])).
% 49.36/32.31 tff(15765,plain,
% 49.36/32.31 (v101(constB124) | (~v102(constB124))),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15764, 362, 15741, 15761])).
% 49.36/32.31 tff(15766,plain,
% 49.36/32.31 (v101(constB124)),
% 49.36/32.31 inference(unit_resolution,[status(thm)],[15765, 15758])).
% 49.36/32.31 tff(15767,plain,
% 49.36/32.31 (((~![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)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.31 tff(15768,plain,
% 49.36/32.31 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 49.36/32.31 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15769,plain,
% 49.36/32.32 (((~![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))))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15768])).
% 49.36/32.32 tff(15770,plain,
% 49.36/32.32 (((~![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)))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15769, 15767])).
% 49.36/32.32 tff(15771,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15772,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15771, 15770])).
% 49.36/32.32 tff(15773,plain,
% 49.36/32.32 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15772, 377, 15741])).
% 49.36/32.32 tff(15774,plain,
% 49.36/32.32 (v100(constB124) | (~v110(constB124))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15773, 15766])).
% 49.36/32.32 tff(15775,plain,
% 49.36/32.32 (v100(constB124)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15774, 15749])).
% 49.36/32.32 tff(15776,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15777,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15778,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15777, 15776])).
% 49.36/32.32 tff(15779,plain,
% 49.36/32.32 (~v130(constB123, 2)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15778, 767, 15677])).
% 49.36/32.32 tff(15780,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15781,plain,
% 49.36/32.32 ((v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2))) <=> ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15782,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15781])).
% 49.36/32.32 tff(15783,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15782, 15780])).
% 49.36/32.32 tff(15784,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15785,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15784, 15783])).
% 49.36/32.32 tff(15786,plain,
% 49.36/32.32 ((~v127(constB123, 2)) | v130(constB123, 2)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15785, 593, 15723])).
% 49.36/32.32 tff(15787,plain,
% 49.36/32.32 (~v127(constB123, 2)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15786, 15779])).
% 49.36/32.32 tff(15788,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15789,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15790,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 49.36/32.32 tff(15791,plain,
% 49.36/32.32 (v127(constB123, 2) | (~v129(constB124, 2))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15790, 611, 15741])).
% 49.36/32.32 tff(15792,plain,
% 49.36/32.32 (~v129(constB124, 2)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15791, 15787])).
% 49.36/32.32 tff(15793,plain,
% 49.36/32.32 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15794,plain,
% 49.36/32.32 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15795,plain,
% 49.36/32.32 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 49.36/32.32 tff(15796,plain,
% 49.36/32.32 ((~v90(constB124, 2)) | (~v100(constB124))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15795, 626, 15792])).
% 49.36/32.32 tff(15797,plain,
% 49.36/32.32 (~v90(constB124, 2)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15796, 15775])).
% 49.36/32.32 tff(15798,plain,
% 49.36/32.32 ((~v1(constB125)) <=> (~v1(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15799,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 49.36/32.32 tff(15800,plain,
% 49.36/32.32 (~v1(constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 49.36/32.32 tff(15801,plain,
% 49.36/32.32 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15802,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 49.36/32.32 tff(15803,plain,
% 49.36/32.32 (nextState(constB124, constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 49.36/32.32 tff(15804,plain,
% 49.36/32.32 (((~![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)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15805,plain,
% 49.36/32.32 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15806,plain,
% 49.36/32.32 (((~![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))))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15805])).
% 49.36/32.32 tff(15807,plain,
% 49.36/32.32 (((~![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)))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15806, 15804])).
% 49.36/32.32 tff(15808,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15809,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 49.36/32.32 tff(15810,plain,
% 49.36/32.32 (~v101(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15809, 90, 15803, 15800])).
% 49.36/32.32 tff(15811,plain,
% 49.36/32.32 (((~![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)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15812,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15813,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 49.36/32.32 tff(15814,plain,
% 49.36/32.32 (v101(constB125) | (~v100(constB125))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15813, 107, 15803])).
% 49.36/32.32 tff(15815,plain,
% 49.36/32.32 (~v100(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15814, 15810])).
% 49.36/32.32 tff(15816,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15817,plain,
% 49.36/32.32 (((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))) <=> (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15818,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15817])).
% 49.36/32.32 tff(15819,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15818, 15816])).
% 49.36/32.32 tff(15820,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15821,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 49.36/32.32 tff(15822,plain,
% 49.36/32.32 (v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15821, 122, 15803])).
% 49.36/32.32 tff(15823,plain,
% 49.36/32.32 (v90(constB124, 2) | (~v90(constB125, 2))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15822, 15815])).
% 49.36/32.32 tff(15824,plain,
% 49.36/32.32 (~v90(constB125, 2)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15823, 15797])).
% 49.36/32.32 tff(15825,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15826,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15827,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15826, 15825])).
% 49.36/32.32 tff(15828,plain,
% 49.36/32.32 (v130(constB123, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15827, 838, 15677])).
% 49.36/32.32 tff(15829,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15830,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15831,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 49.36/32.32 tff(15832,plain,
% 49.36/32.32 ((~v130(constB123, 1)) | v127(constB123, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15831, 852, 15723])).
% 49.36/32.32 tff(15833,plain,
% 49.36/32.32 (v127(constB123, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15832, 15828])).
% 49.36/32.32 tff(15834,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15835,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15836,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 49.36/32.32 tff(15837,plain,
% 49.36/32.32 ((~v127(constB123, 1)) | v129(constB124, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15836, 867, 15741])).
% 49.36/32.32 tff(15838,plain,
% 49.36/32.32 (v129(constB124, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15837, 15833])).
% 49.36/32.32 tff(15839,plain,
% 49.36/32.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15840,plain,
% 49.36/32.32 ((v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1))) <=> (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15841,plain,
% 49.36/32.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15840])).
% 49.36/32.32 tff(15842,plain,
% 49.36/32.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15841, 15839])).
% 49.36/32.32 tff(15843,plain,
% 49.36/32.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15844,plain,
% 49.36/32.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 49.36/32.32 tff(15845,plain,
% 49.36/32.32 (v90(constB124, 1) | (~v100(constB124))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15844, 882, 15838])).
% 49.36/32.32 tff(15846,plain,
% 49.36/32.32 (v90(constB124, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15845, 15775])).
% 49.36/32.32 tff(15847,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15848,plain,
% 49.36/32.32 (((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)) <=> ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15849,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15848])).
% 49.36/32.32 tff(15850,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15849, 15847])).
% 49.36/32.32 tff(15851,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15852,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 49.36/32.32 tff(15853,plain,
% 49.36/32.32 ((~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15852, 900, 15803])).
% 49.36/32.32 tff(15854,plain,
% 49.36/32.32 ((~v90(constB124, 1)) | v90(constB125, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15853, 15815])).
% 49.36/32.32 tff(15855,plain,
% 49.36/32.32 (v90(constB125, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15854, 15846])).
% 49.36/32.32 tff(15856,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15857,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15858,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 49.36/32.32 tff(15859,plain,
% 49.36/32.32 (~v130(constB123, 0)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15858, 916, 15677])).
% 49.36/32.32 tff(15860,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15861,plain,
% 49.36/32.32 ((v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0))) <=> ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15862,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15861])).
% 49.36/32.32 tff(15863,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15862, 15860])).
% 49.36/32.32 tff(15864,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15865,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15864, 15863])).
% 49.36/32.32 tff(15866,plain,
% 49.36/32.32 ((~v127(constB123, 0)) | v130(constB123, 0)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15865, 930, 15723])).
% 49.36/32.32 tff(15867,plain,
% 49.36/32.32 (~v127(constB123, 0)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15866, 15859])).
% 49.36/32.32 tff(15868,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15869,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15870,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 49.36/32.32 tff(15871,plain,
% 49.36/32.32 (v127(constB123, 0) | (~v129(constB124, 0))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15870, 948, 15741])).
% 49.36/32.32 tff(15872,plain,
% 49.36/32.32 (~v129(constB124, 0)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15871, 15867])).
% 49.36/32.32 tff(15873,plain,
% 49.36/32.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15874,plain,
% 49.36/32.32 (((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0)) <=> ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15875,plain,
% 49.36/32.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15874])).
% 49.36/32.32 tff(15876,plain,
% 49.36/32.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15875, 15873])).
% 49.36/32.32 tff(15877,plain,
% 49.36/32.32 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15878,plain,
% 49.36/32.32 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 49.36/32.32 tff(15879,plain,
% 49.36/32.32 ((~v90(constB124, 0)) | (~v100(constB124))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15878, 963, 15872])).
% 49.36/32.32 tff(15880,plain,
% 49.36/32.32 (~v90(constB124, 0)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15879, 15775])).
% 49.36/32.32 tff(15881,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15882,plain,
% 49.36/32.32 (((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))) <=> (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15883,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15882])).
% 49.36/32.32 tff(15884,plain,
% 49.36/32.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15883, 15881])).
% 49.36/32.32 tff(15885,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15886,plain,
% 49.36/32.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15885, 15884])).
% 49.36/32.32 tff(15887,plain,
% 49.36/32.32 (v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15886, 164, 15803])).
% 49.36/32.32 tff(15888,plain,
% 49.36/32.32 (v90(constB124, 0) | (~v90(constB125, 0))),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15887, 15815])).
% 49.36/32.32 tff(15889,plain,
% 49.36/32.32 (~v90(constB125, 0)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15888, 15880])).
% 49.36/32.32 tff(15890,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15891,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15892,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15891, 15890])).
% 49.36/32.32 tff(15893,plain,
% 49.36/32.32 (v121(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15892, 990, 15889, 15855, 15824])).
% 49.36/32.32 tff(15894,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15895,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15896,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15895, 15894])).
% 49.36/32.32 tff(15897,plain,
% 49.36/32.32 (v130(constB125, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15896, 1146, 15893])).
% 49.36/32.32 tff(15898,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2)))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15899,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15900,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2))),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 49.36/32.32 tff(15901,plain,
% 49.36/32.32 (~v130(constB125, 2)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15900, 1090, 15893])).
% 49.36/32.32 tff(15902,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15903,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15904,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 49.36/32.32 tff(15905,plain,
% 49.36/32.32 (v130(constB125, 0)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15904, 1184, 15893])).
% 49.36/32.32 tff(15906,assumption,(~v116(constB125)), introduced(assumption)).
% 49.36/32.32 tff(15907,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB125)) | v116(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15908,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15909,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB125)) | v116(constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15908, 15907])).
% 49.36/32.32 tff(15910,plain,
% 49.36/32.32 (~v117(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15909, 224, 15906])).
% 49.36/32.32 tff(15911,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB125)) | v117(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15912,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB125)) | v117(constB125))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15913,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB125)) | v117(constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 49.36/32.32 tff(15914,plain,
% 49.36/32.32 (~v118(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15913, 210, 15910])).
% 49.36/32.32 tff(15915,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB125)) | v118(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15916,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB125)) | v118(constB125))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15917,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB125)) | v118(constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 49.36/32.32 tff(15918,plain,
% 49.36/32.32 (~v120(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15917, 665, 15914])).
% 49.36/32.32 tff(15919,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB125)) | v117(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15920,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15921,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB125)) | v117(constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 49.36/32.32 tff(15922,plain,
% 49.36/32.32 (~v121(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15921, 1001, 15910])).
% 49.36/32.32 tff(15923,assumption,(~v90(constB125, 2)), introduced(assumption)).
% 49.36/32.32 tff(15924,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB125)) | v118(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15925,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))),
% 49.36/32.32 inference(quant_inst,[status(thm)],[])).
% 49.36/32.32 tff(15926,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB125)) | v118(constB125)),
% 49.36/32.32 inference(modus_ponens,[status(thm)],[15925, 15924])).
% 49.36/32.32 tff(15927,plain,
% 49.36/32.32 (~v119(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15926, 199, 15914])).
% 49.36/32.32 tff(15928,assumption,(~v119(constB125)), introduced(assumption)).
% 49.36/32.32 tff(15929,assumption,(~v90(constB125, 0)), introduced(assumption)).
% 49.36/32.32 tff(15930,assumption,(~v121(constB125)), introduced(assumption)).
% 49.36/32.32 tff(15931,plain,
% 49.36/32.32 (v90(constB125, 0) | (~v90(constB125, 1)) | v121(constB125)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15892, 990, 15923])).
% 49.36/32.32 tff(15932,plain,
% 49.36/32.32 (~v90(constB125, 1)),
% 49.36/32.32 inference(unit_resolution,[status(thm)],[15931, 15929, 15930])).
% 49.36/32.32 tff(15933,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15934,plain,
% 49.36/32.32 ((v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2)) <=> (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))),
% 49.36/32.32 inference(rewrite,[status(thm)],[])).
% 49.36/32.32 tff(15935,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125)))),
% 49.36/32.32 inference(monotonicity,[status(thm)],[15934])).
% 49.36/32.32 tff(15936,plain,
% 49.36/32.32 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))),
% 49.36/32.32 inference(transitivity,[status(thm)],[15935, 15933])).
% 49.36/32.32 tff(15937,plain,
% 49.36/32.32 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15938,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15937, 15936])).
% 49.36/32.33 tff(15939,plain,
% 49.36/32.33 (v90(constB125, 0) | v90(constB125, 1) | v119(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15938, 185, 15923])).
% 49.36/32.33 tff(15940,plain,
% 49.36/32.33 ($false),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15939, 15932, 15929, 15928])).
% 49.36/32.33 tff(15941,plain,(v90(constB125, 0) | v119(constB125) | v90(constB125, 2) | v121(constB125)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.33 tff(15942,plain,
% 49.36/32.33 (v90(constB125, 0)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15941, 15927, 15923, 15922])).
% 49.36/32.33 tff(15943,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB125)) | v116(constB125))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15944,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB125)) | v116(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15945,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB125)) | v116(constB125)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15944, 15943])).
% 49.36/32.33 tff(15946,plain,
% 49.36/32.33 (~v122(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15945, 1236, 15906])).
% 49.36/32.33 tff(15947,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB125, 0)) | (~v90(constB125, 1)) | v90(constB125, 2) | v122(constB125))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB125, 0)) | (~v90(constB125, 1)) | v90(constB125, 2) | v122(constB125))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15948,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB125, 0)) | (~v90(constB125, 1)) | v90(constB125, 2) | v122(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15949,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB125, 0)) | (~v90(constB125, 1)) | v90(constB125, 2) | v122(constB125)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 49.36/32.33 tff(15950,plain,
% 49.36/32.33 ((~v90(constB125, 0)) | (~v90(constB125, 1)) | v122(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15949, 1225, 15923])).
% 49.36/32.33 tff(15951,plain,
% 49.36/32.33 (~v90(constB125, 1)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15950, 15942, 15946])).
% 49.36/32.33 tff(15952,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB125, 0)) | v90(constB125, 1) | v90(constB125, 2) | v120(constB125))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB125, 0)) | v90(constB125, 1) | v90(constB125, 2) | v120(constB125))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15953,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB125, 0)) | v90(constB125, 1) | v90(constB125, 2) | v120(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15954,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB125, 0)) | v90(constB125, 1) | v90(constB125, 2) | v120(constB125)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15953, 15952])).
% 49.36/32.33 tff(15955,plain,
% 49.36/32.33 ((~v90(constB125, 0)) | v90(constB125, 1) | v120(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15954, 651, 15923])).
% 49.36/32.33 tff(15956,plain,
% 49.36/32.33 ($false),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15955, 15951, 15942, 15918])).
% 49.36/32.33 tff(15957,plain,(v116(constB125) | v90(constB125, 2)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.33 tff(15958,plain,
% 49.36/32.33 (v116(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15957, 15824])).
% 49.36/32.33 tff(15959,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB125)) | v115(constB125))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15960,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15961,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB125)) | v115(constB125)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 49.36/32.33 tff(15962,plain,
% 49.36/32.33 (v115(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15961, 238, 15958])).
% 49.36/32.33 tff(15963,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15964,plain,
% 49.36/32.33 (((~v115(constB125)) | v114(constB125)) <=> (v114(constB125) | (~v115(constB125)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15965,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[15964])).
% 49.36/32.33 tff(15966,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[15965, 15963])).
% 49.36/32.33 tff(15967,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15968,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15967, 15966])).
% 49.36/32.33 tff(15969,plain,
% 49.36/32.33 (v114(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15968, 252, 15962])).
% 49.36/32.33 tff(15970,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15971,plain,
% 49.36/32.33 (((~v114(constB125)) | v113(constB125)) <=> (v113(constB125) | (~v114(constB125)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15972,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[15971])).
% 49.36/32.33 tff(15973,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[15972, 15970])).
% 49.36/32.33 tff(15974,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15975,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15974, 15973])).
% 49.36/32.33 tff(15976,plain,
% 49.36/32.33 (v113(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15975, 266, 15969])).
% 49.36/32.33 tff(15977,assumption,(v26(constB125)), introduced(assumption)).
% 49.36/32.33 tff(15978,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15979,plain,
% 49.36/32.33 ($false),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15978, 43, 15977])).
% 49.36/32.33 tff(15980,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.33 tff(15981,assumption,(~v26(constB125)), introduced(assumption)).
% 49.36/32.33 tff(15982,assumption,(v113(constB125)), introduced(assumption)).
% 49.36/32.33 tff(15983,plain,
% 49.36/32.33 (((~![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) | (~v113(constB125)) | v112(constB125))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15984,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15985,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15984, 15983])).
% 49.36/32.33 tff(15986,plain,
% 49.36/32.33 (v26(constB125) | v112(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15985, 280, 15982])).
% 49.36/32.33 tff(15987,plain,
% 49.36/32.33 (v112(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15986, 15981])).
% 49.36/32.33 tff(15988,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15989,plain,
% 49.36/32.33 (((~v112(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v112(constB125)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15990,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[15989])).
% 49.36/32.33 tff(15991,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[15990, 15988])).
% 49.36/32.33 tff(15992,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(15993,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15992, 15991])).
% 49.36/32.33 tff(15994,plain,
% 49.36/32.33 (v108(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[15993, 292, 15987])).
% 49.36/32.33 tff(15995,plain,
% 49.36/32.33 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15996,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 49.36/32.33 tff(15997,plain,
% 49.36/32.33 (nextState(constB125, constB126)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 49.36/32.33 tff(15998,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(15999,plain,
% 49.36/32.33 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16000,plain,
% 49.36/32.33 (((~![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))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[15999])).
% 49.36/32.33 tff(16001,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[16000, 15998])).
% 49.36/32.33 tff(16002,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16003,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16002, 16001])).
% 49.36/32.33 tff(16004,plain,
% 49.36/32.33 (v110(constB126) | (~v108(constB125))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16003, 312, 15997])).
% 49.36/32.33 tff(16005,plain,
% 49.36/32.33 (v110(constB126)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16004, 15994])).
% 49.36/32.33 tff(16006,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16007,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16008,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16007, 16006])).
% 49.36/32.33 tff(16009,plain,
% 49.36/32.33 (~v104(constB126)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16008, 330, 15997, 15800])).
% 49.36/32.33 tff(16010,plain,
% 49.36/32.33 (((~![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)) | v102(constB126) | v104(constB126))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16011,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16012,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 49.36/32.33 tff(16013,plain,
% 49.36/32.33 (v102(constB126) | v104(constB126)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16012, 344, 15997])).
% 49.36/32.33 tff(16014,plain,
% 49.36/32.33 (v102(constB126)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16013, 16009])).
% 49.36/32.33 tff(16015,plain,
% 49.36/32.33 (v1(constB126) <=> v1(constB126)),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16016,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 49.36/32.33 tff(16017,plain,
% 49.36/32.33 (v1(constB126)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16016, 16015])).
% 49.36/32.33 tff(16018,plain,
% 49.36/32.33 (((~![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)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16019,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16020,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 49.36/32.33 tff(16021,plain,
% 49.36/32.33 (v101(constB126) | (~v102(constB126))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16020, 362, 15997, 16017])).
% 49.36/32.33 tff(16022,plain,
% 49.36/32.33 (v101(constB126)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16021, 16014])).
% 49.36/32.33 tff(16023,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16024,plain,
% 49.36/32.33 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16025,plain,
% 49.36/32.33 (((~![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))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[16024])).
% 49.36/32.33 tff(16026,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[16025, 16023])).
% 49.36/32.33 tff(16027,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16028,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 49.36/32.33 tff(16029,plain,
% 49.36/32.33 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16028, 377, 15997])).
% 49.36/32.33 tff(16030,plain,
% 49.36/32.33 (v100(constB126) | (~v110(constB126))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16029, 16022])).
% 49.36/32.33 tff(16031,plain,
% 49.36/32.33 (v100(constB126)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16030, 16005])).
% 49.36/32.33 tff(16032,assumption,(~v130(constB125, 2)), introduced(assumption)).
% 49.36/32.33 tff(16033,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16034,plain,
% 49.36/32.33 ((v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2))) <=> ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16035,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[16034])).
% 49.36/32.33 tff(16036,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 49.36/32.33 inference(transitivity,[status(thm)],[16035, 16033])).
% 49.36/32.33 tff(16037,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16038,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16037, 16036])).
% 49.36/32.33 tff(16039,plain,
% 49.36/32.33 ((~v127(constB125, 2)) | v26(constB125)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16038, 593, 16032])).
% 49.36/32.33 tff(16040,plain,
% 49.36/32.33 (~v127(constB125, 2)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16039, 15981])).
% 49.36/32.33 tff(16041,plain,
% 49.36/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16042,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16043,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16042, 16041])).
% 49.36/32.33 tff(16044,plain,
% 49.36/32.33 (v127(constB125, 2) | (~v129(constB126, 2))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16043, 611, 15997])).
% 49.36/32.33 tff(16045,plain,
% 49.36/32.33 (~v129(constB126, 2)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16044, 16040])).
% 49.36/32.33 tff(16046,plain,
% 49.36/32.33 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16047,plain,
% 49.36/32.33 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16048,plain,
% 49.36/32.33 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16047, 16046])).
% 49.36/32.33 tff(16049,plain,
% 49.36/32.33 ((~v90(constB126, 2)) | (~v100(constB126))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16048, 626, 16045])).
% 49.36/32.33 tff(16050,plain,
% 49.36/32.33 (~v90(constB126, 2)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16049, 16031])).
% 49.36/32.33 tff(16051,assumption,(v130(constB125, 0)), introduced(assumption)).
% 49.36/32.33 tff(16052,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16053,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16054,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 49.36/32.33 tff(16055,plain,
% 49.36/32.33 (v26(constB125) | v127(constB125, 0)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16054, 515, 16051])).
% 49.36/32.33 tff(16056,plain,
% 49.36/32.33 (v127(constB125, 0)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16055, 15981])).
% 49.36/32.33 tff(16057,plain,
% 49.36/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16058,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16059,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16058, 16057])).
% 49.36/32.33 tff(16060,plain,
% 49.36/32.33 ((~v127(constB125, 0)) | v129(constB126, 0)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16059, 530, 15997])).
% 49.36/32.33 tff(16061,plain,
% 49.36/32.33 (v129(constB126, 0)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16060, 16056])).
% 49.36/32.33 tff(16062,plain,
% 49.36/32.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16063,plain,
% 49.36/32.33 ((v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0))) <=> (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16064,plain,
% 49.36/32.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[16063])).
% 49.36/32.33 tff(16065,plain,
% 49.36/32.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[16064, 16062])).
% 49.36/32.33 tff(16066,plain,
% 49.36/32.33 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16067,plain,
% 49.36/32.33 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 49.36/32.33 tff(16068,plain,
% 49.36/32.33 (v90(constB126, 0) | (~v100(constB126))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16067, 545, 16061])).
% 49.36/32.33 tff(16069,plain,
% 49.36/32.33 (v90(constB126, 0)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16068, 16031])).
% 49.36/32.33 tff(16070,assumption,(v130(constB125, 1)), introduced(assumption)).
% 49.36/32.33 tff(16071,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16072,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16073,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 49.36/32.33 tff(16074,plain,
% 49.36/32.33 (v26(constB125) | v127(constB125, 1)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16073, 852, 16070])).
% 49.36/32.33 tff(16075,plain,
% 49.36/32.33 (v127(constB125, 1)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16074, 15981])).
% 49.36/32.33 tff(16076,plain,
% 49.36/32.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16077,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16078,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 49.36/32.33 tff(16079,plain,
% 49.36/32.33 ((~v127(constB125, 1)) | v129(constB126, 1)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16078, 867, 15997])).
% 49.36/32.33 tff(16080,plain,
% 49.36/32.33 (v129(constB126, 1)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16079, 16075])).
% 49.36/32.33 tff(16081,plain,
% 49.36/32.33 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16082,plain,
% 49.36/32.33 ((v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1))) <=> (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16083,plain,
% 49.36/32.33 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[16082])).
% 49.36/32.33 tff(16084,plain,
% 49.36/32.33 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[16083, 16081])).
% 49.36/32.33 tff(16085,plain,
% 49.36/32.33 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16086,plain,
% 49.36/32.33 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 49.36/32.33 tff(16087,plain,
% 49.36/32.33 (v90(constB126, 1) | (~v100(constB126))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16086, 882, 16080])).
% 49.36/32.33 tff(16088,plain,
% 49.36/32.33 (v90(constB126, 1)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16087, 16031])).
% 49.36/32.33 tff(16089,assumption,(~v122(constB126)), introduced(assumption)).
% 49.36/32.33 tff(16090,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB126, 0)) | (~v90(constB126, 1)) | v90(constB126, 2) | v122(constB126))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB126, 0)) | (~v90(constB126, 1)) | v90(constB126, 2) | v122(constB126))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16091,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB126, 0)) | (~v90(constB126, 1)) | v90(constB126, 2) | v122(constB126))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16092,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB126, 0)) | (~v90(constB126, 1)) | v90(constB126, 2) | v122(constB126)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16091, 16090])).
% 49.36/32.33 tff(16093,plain,
% 49.36/32.33 ((~v90(constB126, 0)) | (~v90(constB126, 1)) | v90(constB126, 2)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16092, 1225, 16089])).
% 49.36/32.33 tff(16094,plain,
% 49.36/32.33 ($false),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16093, 16088, 16069, 16050])).
% 49.36/32.33 tff(16095,plain,(v26(constB125) | v122(constB126) | (~v113(constB125)) | v130(constB125, 2) | (~v130(constB125, 1)) | (~v130(constB125, 0))), inference(lemma,lemma(discharge,[]))).
% 49.36/32.33 tff(16096,plain,
% 49.36/32.33 (v122(constB126) | (~v113(constB125)) | v130(constB125, 2) | (~v130(constB125, 1)) | (~v130(constB125, 0))),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16095, 15980])).
% 49.36/32.33 tff(16097,plain,
% 49.36/32.33 (v122(constB126)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16096, 15976, 15905, 15901, 15897])).
% 49.36/32.33 tff(16098,plain,
% 49.36/32.33 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ((~v122(VarCurr)) | v90(VarCurr, 1)))),
% 49.36/32.33 inference(bind,[status(th)],[])).
% 49.36/32.33 tff(16099,plain,
% 49.36/32.33 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 49.36/32.33 inference(quant_intro,[status(thm)],[16098])).
% 49.36/32.33 tff(16100,plain,
% 49.36/32.33 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16101,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 49.36/32.33 tff(16102,plain,
% 49.36/32.33 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16101, 16100])).
% 49.36/32.33 tff(16103,plain,(
% 49.36/32.33 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 49.36/32.33 inference(skolemize,[status(sab)],[16102])).
% 49.36/32.33 tff(16104,plain,
% 49.36/32.33 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16103, 16099])).
% 49.36/32.33 tff(16105,plain,
% 49.36/32.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB126)) | v90(constB126, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB126)) | v90(constB126, 1))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16106,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB126)) | v90(constB126, 1))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16107,plain,
% 49.36/32.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB126)) | v90(constB126, 1)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16106, 16105])).
% 49.36/32.33 tff(16108,plain,
% 49.36/32.33 (v90(constB126, 1)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16107, 16104, 16097])).
% 49.36/32.33 tff(16109,plain,
% 49.36/32.33 ((~v1(constB127)) <=> (~v1(constB127))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16110,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 49.36/32.33 tff(16111,plain,
% 49.36/32.33 (~v1(constB127)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 49.36/32.33 tff(16112,plain,
% 49.36/32.33 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16113,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 49.36/32.33 tff(16114,plain,
% 49.36/32.33 (nextState(constB126, constB127)),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16113, 16112])).
% 49.36/32.33 tff(16115,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16116,plain,
% 49.36/32.33 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 49.36/32.33 inference(rewrite,[status(thm)],[])).
% 49.36/32.33 tff(16117,plain,
% 49.36/32.33 (((~![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))))),
% 49.36/32.33 inference(monotonicity,[status(thm)],[16116])).
% 49.36/32.33 tff(16118,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.33 inference(transitivity,[status(thm)],[16117, 16115])).
% 49.36/32.33 tff(16119,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 49.36/32.33 inference(quant_inst,[status(thm)],[])).
% 49.36/32.33 tff(16120,plain,
% 49.36/32.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 49.36/32.33 inference(modus_ponens,[status(thm)],[16119, 16118])).
% 49.36/32.33 tff(16121,plain,
% 49.36/32.33 (~v101(constB127)),
% 49.36/32.33 inference(unit_resolution,[status(thm)],[16120, 90, 16114, 16111])).
% 49.36/32.33 tff(16122,plain,
% 49.36/32.33 (((~![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)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16123,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16124,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16123, 16122])).
% 49.36/32.34 tff(16125,plain,
% 49.36/32.34 (v101(constB127) | (~v100(constB127))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16124, 107, 16114])).
% 49.36/32.34 tff(16126,plain,
% 49.36/32.34 (~v100(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16125, 16121])).
% 49.36/32.34 tff(16127,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16128,plain,
% 49.36/32.34 (((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)) <=> ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16129,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16128])).
% 49.36/32.34 tff(16130,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16129, 16127])).
% 49.36/32.34 tff(16131,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16132,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 49.36/32.34 tff(16133,plain,
% 49.36/32.34 ((~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16132, 900, 16114])).
% 49.36/32.34 tff(16134,plain,
% 49.36/32.34 ((~v90(constB126, 1)) | v90(constB127, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16133, 16126])).
% 49.36/32.34 tff(16135,plain,
% 49.36/32.34 (v90(constB127, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16134, 16108])).
% 49.36/32.34 tff(16136,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB126)) | v90(constB126, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB126)) | v90(constB126, 0))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16137,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB126)) | v90(constB126, 0))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16138,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB126)) | v90(constB126, 0)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16137, 16136])).
% 49.36/32.34 tff(16139,plain,
% 49.36/32.34 (v90(constB126, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16138, 7927, 16097])).
% 49.36/32.34 tff(16140,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16141,plain,
% 49.36/32.34 (((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)) <=> ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16142,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16141])).
% 49.36/32.34 tff(16143,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16142, 16140])).
% 49.36/32.34 tff(16144,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16145,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16144, 16143])).
% 49.36/32.34 tff(16146,plain,
% 49.36/32.34 ((~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16145, 563, 16114])).
% 49.36/32.34 tff(16147,plain,
% 49.36/32.34 ((~v90(constB126, 0)) | v90(constB127, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16146, 16126])).
% 49.36/32.34 tff(16148,plain,
% 49.36/32.34 (v90(constB127, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16147, 16139])).
% 49.36/32.34 tff(16149,assumption,(v120(constB123)), introduced(assumption)).
% 49.36/32.34 tff(16150,plain,
% 49.36/32.34 (v118(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15683, 665, 16149])).
% 49.36/32.34 tff(16151,plain,
% 49.36/32.34 (v117(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15690, 210, 16150])).
% 49.36/32.34 tff(16152,plain,
% 49.36/32.34 (v116(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15697, 224, 16151])).
% 49.36/32.34 tff(16153,plain,
% 49.36/32.34 (v115(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15704, 238, 16152])).
% 49.36/32.34 tff(16154,plain,
% 49.36/32.34 (v114(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15711, 252, 16153])).
% 49.36/32.34 tff(16155,plain,
% 49.36/32.34 (v113(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15718, 266, 16154])).
% 49.36/32.34 tff(16156,plain,
% 49.36/32.34 (v112(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15730, 16155])).
% 49.36/32.34 tff(16157,plain,
% 49.36/32.34 (v108(constB123)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15737, 292, 16156])).
% 49.36/32.34 tff(16158,plain,
% 49.36/32.34 (v110(constB124)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15748, 16157])).
% 49.36/32.34 tff(16159,plain,
% 49.36/32.34 (v100(constB124)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15774, 16158])).
% 49.36/32.34 tff(16160,plain,
% 49.36/32.34 (~v130(constB123, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15778, 767, 16149])).
% 49.36/32.34 tff(16161,plain,
% 49.36/32.34 (~v127(constB123, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15786, 16160])).
% 49.36/32.34 tff(16162,plain,
% 49.36/32.34 (~v129(constB124, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15791, 16161])).
% 49.36/32.34 tff(16163,plain,
% 49.36/32.34 ((~v90(constB124, 2)) | (~v100(constB124))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15795, 626, 16162])).
% 49.36/32.34 tff(16164,plain,
% 49.36/32.34 (~v90(constB124, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16163, 16159])).
% 49.36/32.34 tff(16165,plain,
% 49.36/32.34 (~v90(constB125, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15823, 16164])).
% 49.36/32.34 tff(16166,plain,
% 49.36/32.34 (v130(constB123, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15827, 838, 16149])).
% 49.36/32.34 tff(16167,plain,
% 49.36/32.34 (v127(constB123, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15832, 16166])).
% 49.36/32.34 tff(16168,plain,
% 49.36/32.34 (v129(constB124, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15837, 16167])).
% 49.36/32.34 tff(16169,plain,
% 49.36/32.34 (v90(constB124, 1) | (~v100(constB124))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15844, 882, 16168])).
% 49.36/32.34 tff(16170,plain,
% 49.36/32.34 (v90(constB124, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16169, 16159])).
% 49.36/32.34 tff(16171,plain,
% 49.36/32.34 (v90(constB125, 1)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15854, 16170])).
% 49.36/32.34 tff(16172,plain,
% 49.36/32.34 (~v130(constB123, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15858, 916, 16149])).
% 49.36/32.34 tff(16173,plain,
% 49.36/32.34 (~v127(constB123, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15866, 16172])).
% 49.36/32.34 tff(16174,plain,
% 49.36/32.34 (~v129(constB124, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15871, 16173])).
% 49.36/32.34 tff(16175,plain,
% 49.36/32.34 ((~v90(constB124, 0)) | (~v100(constB124))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15878, 963, 16174])).
% 49.36/32.34 tff(16176,plain,
% 49.36/32.34 (~v90(constB124, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16175, 16159])).
% 49.36/32.34 tff(16177,plain,
% 49.36/32.34 (~v90(constB125, 0)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15888, 16176])).
% 49.36/32.34 tff(16178,plain,
% 49.36/32.34 (v121(constB125)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15892, 990, 16177, 16171, 16165])).
% 49.36/32.34 tff(16179,assumption,(v90(constB126, 2)), introduced(assumption)).
% 49.36/32.34 tff(16180,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16181,plain,
% 49.36/32.34 (((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2))) <=> (v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16182,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16181])).
% 49.36/32.34 tff(16183,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16182, 16180])).
% 49.36/32.34 tff(16184,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2)))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16185,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16184, 16183])).
% 49.36/32.34 tff(16186,plain,
% 49.36/32.34 (v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16185, 122, 15997])).
% 49.36/32.34 tff(16187,plain,
% 49.36/32.34 (v100(constB126)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16186, 16165, 16179])).
% 49.36/32.34 tff(16188,plain,
% 49.36/32.34 (v129(constB126, 2) | (~v100(constB126))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16048, 626, 16179])).
% 49.36/32.34 tff(16189,plain,
% 49.36/32.34 (v129(constB126, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16188, 16187])).
% 49.36/32.34 tff(16190,plain,
% 49.36/32.34 (v127(constB125, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16044, 16189])).
% 49.36/32.34 tff(16191,plain,
% 49.36/32.34 ((~v127(constB125, 2)) | v130(constB125, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16038, 593, 15980])).
% 49.36/32.34 tff(16192,plain,
% 49.36/32.34 (v130(constB125, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16191, 16190])).
% 49.36/32.34 tff(16193,plain,
% 49.36/32.34 ($false),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[15900, 1090, 16192, 16178])).
% 49.36/32.34 tff(16194,plain,((~v120(constB123)) | (~v90(constB126, 2))), inference(lemma,lemma(discharge,[]))).
% 49.36/32.34 tff(16195,plain,
% 49.36/32.34 (~v90(constB126, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16194, 15677])).
% 49.36/32.34 tff(16196,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16197,plain,
% 49.36/32.34 (((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))) <=> (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16198,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16197])).
% 49.36/32.34 tff(16199,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16198, 16196])).
% 49.36/32.34 tff(16200,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16201,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 49.36/32.34 tff(16202,plain,
% 49.36/32.34 (v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16201, 122, 16114])).
% 49.36/32.34 tff(16203,plain,
% 49.36/32.34 (v90(constB126, 2) | (~v90(constB127, 2))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16202, 16126])).
% 49.36/32.34 tff(16204,plain,
% 49.36/32.34 (~v90(constB127, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16203, 16195])).
% 49.36/32.34 tff(16205,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16206,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16207,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16206, 16205])).
% 49.36/32.34 tff(16208,plain,
% 49.36/32.34 ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v122(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16207, 1225, 16204])).
% 49.36/32.34 tff(16209,plain,
% 49.36/32.34 (v122(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16208, 16148, 16135])).
% 49.36/32.34 tff(16210,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB127)) | v116(constB127))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16211,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16212,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB127)) | v116(constB127)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16211, 16210])).
% 49.36/32.34 tff(16213,plain,
% 49.36/32.34 (v116(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16212, 1236, 16209])).
% 49.36/32.34 tff(16214,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16215,plain,
% 49.36/32.34 (((~v116(constB127)) | v115(constB127)) <=> (v115(constB127) | (~v116(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16216,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16215])).
% 49.36/32.34 tff(16217,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16216, 16214])).
% 49.36/32.34 tff(16218,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16219,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16218, 16217])).
% 49.36/32.34 tff(16220,plain,
% 49.36/32.34 (v115(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16219, 238, 16213])).
% 49.36/32.34 tff(16221,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16222,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16223,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 49.36/32.34 tff(16224,plain,
% 49.36/32.34 (v114(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16223, 252, 16220])).
% 49.36/32.34 tff(16225,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16226,plain,
% 49.36/32.34 (((~v114(constB127)) | v113(constB127)) <=> (v113(constB127) | (~v114(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16227,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16226])).
% 49.36/32.34 tff(16228,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16227, 16225])).
% 49.36/32.34 tff(16229,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16230,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16229, 16228])).
% 49.36/32.34 tff(16231,plain,
% 49.36/32.34 (v113(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16230, 266, 16224])).
% 49.36/32.34 tff(16232,assumption,(v26(constB127)), introduced(assumption)).
% 49.36/32.34 tff(16233,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16234,plain,
% 49.36/32.34 ($false),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16233, 43, 16232])).
% 49.36/32.34 tff(16235,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.34 tff(16236,plain,
% 49.36/32.34 (((~![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)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16237,plain,
% 49.36/32.34 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16238,plain,
% 49.36/32.34 (((~![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))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16237])).
% 49.36/32.34 tff(16239,plain,
% 49.36/32.34 (((~![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)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16238, 16236])).
% 49.36/32.34 tff(16240,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16241,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16240, 16239])).
% 49.36/32.34 tff(16242,plain,
% 49.36/32.34 (v112(constB127) | (~v113(constB127))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16241, 280, 16235])).
% 49.36/32.34 tff(16243,plain,
% 49.36/32.34 (v112(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16242, 16231])).
% 49.36/32.34 tff(16244,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16245,plain,
% 49.36/32.34 (((~v112(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v112(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16246,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16245])).
% 49.36/32.34 tff(16247,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16246, 16244])).
% 49.36/32.34 tff(16248,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16249,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 49.36/32.34 tff(16250,plain,
% 49.36/32.34 (v108(constB127)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16249, 292, 16243])).
% 49.36/32.34 tff(16251,plain,
% 49.36/32.34 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16252,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 49.36/32.34 tff(16253,plain,
% 49.36/32.34 (nextState(constB127, constB128)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16252, 16251])).
% 49.36/32.34 tff(16254,plain,
% 49.36/32.34 (((~![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)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16255,plain,
% 49.36/32.34 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16256,plain,
% 49.36/32.34 (((~![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))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16255])).
% 49.36/32.34 tff(16257,plain,
% 49.36/32.34 (((~![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)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16256, 16254])).
% 49.36/32.34 tff(16258,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16259,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 49.36/32.34 tff(16260,plain,
% 49.36/32.34 (v110(constB128) | (~v108(constB127))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16259, 312, 16253])).
% 49.36/32.34 tff(16261,plain,
% 49.36/32.34 (v110(constB128)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16260, 16250])).
% 49.36/32.34 tff(16262,plain,
% 49.36/32.34 (((~![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)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16263,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16264,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 49.36/32.34 tff(16265,plain,
% 49.36/32.34 (~v104(constB128)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16264, 330, 16253, 16111])).
% 49.36/32.34 tff(16266,plain,
% 49.36/32.34 (((~![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)) | v102(constB128) | v104(constB128))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16267,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16268,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 49.36/32.34 tff(16269,plain,
% 49.36/32.34 (v102(constB128) | v104(constB128)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16268, 344, 16253])).
% 49.36/32.34 tff(16270,plain,
% 49.36/32.34 (v102(constB128)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16269, 16265])).
% 49.36/32.34 tff(16271,plain,
% 49.36/32.34 (v1(constB128) <=> v1(constB128)),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16272,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 49.36/32.34 tff(16273,plain,
% 49.36/32.34 (v1(constB128)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16272, 16271])).
% 49.36/32.34 tff(16274,plain,
% 49.36/32.34 (((~![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)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16275,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16276,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 49.36/32.34 tff(16277,plain,
% 49.36/32.34 (v101(constB128) | (~v102(constB128))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16276, 362, 16253, 16273])).
% 49.36/32.34 tff(16278,plain,
% 49.36/32.34 (v101(constB128)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16277, 16270])).
% 49.36/32.34 tff(16279,plain,
% 49.36/32.34 (((~![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)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16280,plain,
% 49.36/32.34 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16281,plain,
% 49.36/32.34 (((~![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))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16280])).
% 49.36/32.34 tff(16282,plain,
% 49.36/32.34 (((~![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)))),
% 49.36/32.34 inference(transitivity,[status(thm)],[16281, 16279])).
% 49.36/32.34 tff(16283,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16284,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 49.36/32.34 tff(16285,plain,
% 49.36/32.34 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16284, 377, 16253])).
% 49.36/32.34 tff(16286,plain,
% 49.36/32.34 (v100(constB128) | (~v110(constB128))),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16285, 16278])).
% 49.36/32.34 tff(16287,plain,
% 49.36/32.34 (v100(constB128)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16286, 16261])).
% 49.36/32.34 tff(16288,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16289,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16290,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 49.36/32.34 tff(16291,plain,
% 49.36/32.34 (v130(constB127, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16290, 1314, 16209])).
% 49.36/32.34 tff(16292,plain,
% 49.36/32.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16293,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16294,plain,
% 49.36/32.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16293, 16292])).
% 49.36/32.34 tff(16295,plain,
% 49.36/32.34 ((~v130(constB127, 2)) | v127(constB127, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16294, 1328, 16235])).
% 49.36/32.34 tff(16296,plain,
% 49.36/32.34 (v127(constB127, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16295, 16291])).
% 49.36/32.34 tff(16297,plain,
% 49.36/32.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16298,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 49.36/32.34 inference(quant_inst,[status(thm)],[])).
% 49.36/32.34 tff(16299,plain,
% 49.36/32.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2)),
% 49.36/32.34 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 49.36/32.34 tff(16300,plain,
% 49.36/32.34 ((~v127(constB127, 2)) | v129(constB128, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16299, 1343, 16253])).
% 49.36/32.34 tff(16301,plain,
% 49.36/32.34 (v129(constB128, 2)),
% 49.36/32.34 inference(unit_resolution,[status(thm)],[16300, 16296])).
% 49.36/32.34 tff(16302,plain,
% 49.36/32.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16303,plain,
% 49.36/32.34 ((v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2))) <=> (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 49.36/32.34 inference(rewrite,[status(thm)],[])).
% 49.36/32.34 tff(16304,plain,
% 49.36/32.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))))),
% 49.36/32.34 inference(monotonicity,[status(thm)],[16303])).
% 49.36/32.34 tff(16305,plain,
% 49.36/32.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16304, 16302])).
% 49.36/32.35 tff(16306,plain,
% 49.36/32.35 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16307,plain,
% 49.36/32.35 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16306, 16305])).
% 49.36/32.35 tff(16308,plain,
% 49.36/32.35 (v90(constB128, 2) | (~v100(constB128))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16307, 1358, 16301])).
% 49.36/32.35 tff(16309,plain,
% 49.36/32.35 (v90(constB128, 2)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16308, 16287])).
% 49.36/32.35 tff(16310,plain,
% 49.36/32.35 ((~v1(constB129)) <=> (~v1(constB129))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16311,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 49.36/32.35 tff(16312,plain,
% 49.36/32.35 (~v1(constB129)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16311, 16310])).
% 49.36/32.35 tff(16313,plain,
% 49.36/32.35 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16314,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 49.36/32.35 tff(16315,plain,
% 49.36/32.35 (nextState(constB128, constB129)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 49.36/32.35 tff(16316,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16317,plain,
% 49.36/32.35 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16318,plain,
% 49.36/32.35 (((~![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))))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16317])).
% 49.36/32.35 tff(16319,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16318, 16316])).
% 49.36/32.35 tff(16320,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16321,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16320, 16319])).
% 49.36/32.35 tff(16322,plain,
% 49.36/32.35 (~v101(constB129)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16321, 90, 16315, 16312])).
% 49.36/32.35 tff(16323,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16324,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16325,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 49.36/32.35 tff(16326,plain,
% 49.36/32.35 (v101(constB129) | (~v100(constB129))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16325, 107, 16315])).
% 49.36/32.35 tff(16327,plain,
% 49.36/32.35 (~v100(constB129)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16326, 16322])).
% 49.36/32.35 tff(16328,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16329,plain,
% 49.36/32.35 (((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)) <=> ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16330,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16329])).
% 49.36/32.35 tff(16331,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16330, 16328])).
% 49.36/32.35 tff(16332,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16333,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16332, 16331])).
% 49.36/32.35 tff(16334,plain,
% 49.36/32.35 ((~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16333, 1394, 16315])).
% 49.36/32.35 tff(16335,plain,
% 49.36/32.35 ((~v90(constB128, 2)) | v90(constB129, 2)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16334, 16327])).
% 49.36/32.35 tff(16336,plain,
% 49.36/32.35 (v90(constB129, 2)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16335, 16309])).
% 49.36/32.35 tff(16337,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16338,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16339,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16338, 16337])).
% 49.36/32.35 tff(16340,plain,
% 49.36/32.35 (~v130(constB127, 1)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16339, 1410, 16209])).
% 49.36/32.35 tff(16341,assumption,(v127(constB127, 1)), introduced(assumption)).
% 49.36/32.35 tff(16342,assumption,(~v130(constB127, 1)), introduced(assumption)).
% 49.36/32.35 tff(16343,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16344,plain,
% 49.36/32.35 ((v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1))) <=> ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16345,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16344])).
% 49.36/32.35 tff(16346,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16345, 16343])).
% 49.36/32.35 tff(16347,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16348,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16347, 16346])).
% 49.36/32.35 tff(16349,plain,
% 49.36/32.35 ((~v127(constB127, 1)) | v26(constB127)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16348, 408, 16342])).
% 49.36/32.35 tff(16350,plain,
% 49.36/32.35 (v26(constB127)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16349, 16341])).
% 49.36/32.35 tff(16351,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB127)) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB127)) | (~v127(constB127, 1)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16352,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB127)) | (~v127(constB127, 1)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16353,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB127)) | (~v127(constB127, 1))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16352, 16351])).
% 49.36/32.35 tff(16354,plain,
% 49.36/32.35 ($false),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16353, 423, 16341, 16350])).
% 49.36/32.35 tff(16355,plain,((~v127(constB127, 1)) | v130(constB127, 1)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.35 tff(16356,plain,
% 49.36/32.35 (~v127(constB127, 1)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16355, 16340])).
% 49.36/32.35 tff(16357,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16358,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16359,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 49.36/32.35 tff(16360,plain,
% 49.36/32.35 (v127(constB127, 1) | (~v129(constB128, 1))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16359, 438, 16253])).
% 49.36/32.35 tff(16361,plain,
% 49.36/32.35 (~v129(constB128, 1)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16360, 16356])).
% 49.36/32.35 tff(16362,plain,
% 49.36/32.35 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16363,plain,
% 49.36/32.35 (((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1)) <=> ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16364,plain,
% 49.36/32.35 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16363])).
% 49.36/32.35 tff(16365,plain,
% 49.36/32.35 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16364, 16362])).
% 49.36/32.35 tff(16366,plain,
% 49.36/32.35 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16367,plain,
% 49.36/32.35 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16366, 16365])).
% 49.36/32.35 tff(16368,plain,
% 49.36/32.35 ((~v90(constB128, 1)) | (~v100(constB128))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16367, 453, 16361])).
% 49.36/32.35 tff(16369,plain,
% 49.36/32.35 (~v90(constB128, 1)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16368, 16287])).
% 49.36/32.35 tff(16370,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16371,plain,
% 49.36/32.35 (((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))) <=> (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16372,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16371])).
% 49.36/32.35 tff(16373,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16372, 16370])).
% 49.36/32.35 tff(16374,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16375,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16374, 16373])).
% 49.36/32.35 tff(16376,plain,
% 49.36/32.35 (v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16375, 143, 16315])).
% 49.36/32.35 tff(16377,plain,
% 49.36/32.35 (v90(constB128, 1) | (~v90(constB129, 1))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16376, 16327])).
% 49.36/32.35 tff(16378,plain,
% 49.36/32.35 (~v90(constB129, 1)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16377, 16369])).
% 49.36/32.35 tff(16379,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16380,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16381,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 49.36/32.35 tff(16382,plain,
% 49.36/32.35 (~v130(constB127, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16381, 1451, 16209])).
% 49.36/32.35 tff(16383,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16384,plain,
% 49.36/32.35 ((v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0))) <=> ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16385,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16384])).
% 49.36/32.35 tff(16386,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16385, 16383])).
% 49.36/32.35 tff(16387,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16388,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16387, 16386])).
% 49.36/32.35 tff(16389,plain,
% 49.36/32.35 ((~v127(constB127, 0)) | v130(constB127, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16388, 930, 16235])).
% 49.36/32.35 tff(16390,plain,
% 49.36/32.35 (~v127(constB127, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16389, 16382])).
% 49.36/32.35 tff(16391,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16392,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16393,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16392, 16391])).
% 49.36/32.35 tff(16394,plain,
% 49.36/32.35 (v127(constB127, 0) | (~v129(constB128, 0))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16393, 948, 16253])).
% 49.36/32.35 tff(16395,plain,
% 49.36/32.35 (~v129(constB128, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16394, 16390])).
% 49.36/32.35 tff(16396,plain,
% 49.36/32.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16397,plain,
% 49.36/32.35 (((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0)) <=> ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16398,plain,
% 49.36/32.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16397])).
% 49.36/32.35 tff(16399,plain,
% 49.36/32.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16398, 16396])).
% 49.36/32.35 tff(16400,plain,
% 49.36/32.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16401,plain,
% 49.36/32.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16400, 16399])).
% 49.36/32.35 tff(16402,plain,
% 49.36/32.35 ((~v90(constB128, 0)) | (~v100(constB128))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16401, 963, 16395])).
% 49.36/32.35 tff(16403,plain,
% 49.36/32.35 (~v90(constB128, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16402, 16287])).
% 49.36/32.35 tff(16404,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16405,plain,
% 49.36/32.35 (((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))) <=> (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16406,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16405])).
% 49.36/32.35 tff(16407,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16406, 16404])).
% 49.36/32.35 tff(16408,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16409,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 49.36/32.35 tff(16410,plain,
% 49.36/32.35 (v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16409, 164, 16315])).
% 49.36/32.35 tff(16411,plain,
% 49.36/32.35 (v90(constB128, 0) | (~v90(constB129, 0))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16410, 16327])).
% 49.36/32.35 tff(16412,plain,
% 49.36/32.35 (~v90(constB129, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16411, 16403])).
% 49.36/32.35 tff(16413,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16414,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16415,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 49.36/32.35 tff(16416,plain,
% 49.36/32.35 (v123(constB129)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16415, 1495, 16412, 16378, 16336])).
% 49.36/32.35 tff(16417,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16418,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16419,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16418, 16417])).
% 49.36/32.35 tff(16420,plain,
% 49.36/32.35 (v130(constB129, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16419, 1677, 16416])).
% 49.36/32.35 tff(16421,assumption,(v26(constB129)), introduced(assumption)).
% 49.36/32.35 tff(16422,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16423,plain,
% 49.36/32.35 ($false),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16422, 43, 16421])).
% 49.36/32.35 tff(16424,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.35 tff(16425,plain,
% 49.36/32.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16426,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16427,plain,
% 49.36/32.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16426, 16425])).
% 49.36/32.35 tff(16428,plain,
% 49.36/32.35 ((~v130(constB129, 0)) | v127(constB129, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16427, 515, 16424])).
% 49.36/32.35 tff(16429,plain,
% 49.36/32.35 (v127(constB129, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16428, 16420])).
% 49.36/32.35 tff(16430,plain,
% 49.36/32.35 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16431,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 49.36/32.35 tff(16432,plain,
% 49.36/32.35 (nextState(constB129, constB130)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 49.36/32.35 tff(16433,plain,
% 49.36/32.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16434,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16435,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 49.36/32.35 tff(16436,plain,
% 49.36/32.35 ((~v127(constB129, 0)) | v129(constB130, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16435, 530, 16432])).
% 49.36/32.35 tff(16437,plain,
% 49.36/32.35 (v129(constB130, 0)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16436, 16429])).
% 49.36/32.35 tff(16438,assumption,(~v100(constB130)), introduced(assumption)).
% 49.36/32.35 tff(16439,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16440,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16441,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16440, 16439])).
% 49.36/32.35 tff(16442,plain,
% 49.36/32.35 (~v104(constB130)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16441, 330, 16432, 16312])).
% 49.36/32.35 tff(16443,plain,
% 49.36/32.35 (((~![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)) | v102(constB130) | v104(constB130))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16444,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16445,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 49.36/32.35 tff(16446,plain,
% 49.36/32.35 (v102(constB130) | v104(constB130)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16445, 344, 16432])).
% 49.36/32.35 tff(16447,plain,
% 49.36/32.35 (v102(constB130)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16446, 16442])).
% 49.36/32.35 tff(16448,plain,
% 49.36/32.35 (v1(constB130) <=> v1(constB130)),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16449,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 49.36/32.35 tff(16450,plain,
% 49.36/32.35 (v1(constB130)),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16449, 16448])).
% 49.36/32.35 tff(16451,plain,
% 49.36/32.35 (((~![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)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16452,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16453,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 49.36/32.35 tff(16454,plain,
% 49.36/32.35 (v101(constB130) | (~v102(constB130))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16453, 362, 16432, 16450])).
% 49.36/32.35 tff(16455,plain,
% 49.36/32.35 (v101(constB130)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16454, 16447])).
% 49.36/32.35 tff(16456,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16457,plain,
% 49.36/32.35 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16458,plain,
% 49.36/32.35 (((~![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))))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16457])).
% 49.36/32.35 tff(16459,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.35 inference(transitivity,[status(thm)],[16458, 16456])).
% 49.36/32.35 tff(16460,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 49.36/32.35 inference(quant_inst,[status(thm)],[])).
% 49.36/32.35 tff(16461,plain,
% 49.36/32.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 49.36/32.35 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 49.36/32.35 tff(16462,plain,
% 49.36/32.35 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16461, 377, 16432])).
% 49.36/32.35 tff(16463,plain,
% 49.36/32.35 (v100(constB130) | (~v110(constB130))),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16462, 16455])).
% 49.36/32.35 tff(16464,plain,
% 49.36/32.35 (~v110(constB130)),
% 49.36/32.35 inference(unit_resolution,[status(thm)],[16463, 16438])).
% 49.36/32.35 tff(16465,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16466,plain,
% 49.36/32.35 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 49.36/32.35 inference(rewrite,[status(thm)],[])).
% 49.36/32.35 tff(16467,plain,
% 49.36/32.35 (((~![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))))),
% 49.36/32.35 inference(monotonicity,[status(thm)],[16466])).
% 49.36/32.35 tff(16468,plain,
% 49.36/32.35 (((~![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)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16467, 16465])).
% 49.36/32.36 tff(16469,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16470,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 49.36/32.36 tff(16471,plain,
% 49.36/32.36 (v110(constB130) | (~v108(constB129))),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16470, 312, 16432])).
% 49.36/32.36 tff(16472,plain,
% 49.36/32.36 (~v108(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16471, 16464])).
% 49.36/32.36 tff(16473,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16474,plain,
% 49.36/32.36 (((~v112(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v112(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16475,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16474])).
% 49.36/32.36 tff(16476,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16475, 16473])).
% 49.36/32.36 tff(16477,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16478,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16477, 16476])).
% 49.36/32.36 tff(16479,plain,
% 49.36/32.36 (~v112(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16478, 292, 16472])).
% 49.36/32.36 tff(16480,plain,
% 49.36/32.36 (((~![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))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16481,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16482,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 49.36/32.36 tff(16483,plain,
% 49.36/32.36 ((~v113(constB129)) | v112(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16482, 280, 16424])).
% 49.36/32.36 tff(16484,plain,
% 49.36/32.36 (~v113(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16483, 16479])).
% 49.36/32.36 tff(16485,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16486,plain,
% 49.36/32.36 (((~v114(constB129)) | v113(constB129)) <=> (v113(constB129) | (~v114(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16487,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16486])).
% 49.36/32.36 tff(16488,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16487, 16485])).
% 49.36/32.36 tff(16489,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16490,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16489, 16488])).
% 49.36/32.36 tff(16491,plain,
% 49.36/32.36 (~v114(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16490, 266, 16484])).
% 49.36/32.36 tff(16492,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16493,plain,
% 49.36/32.36 (((~v115(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v115(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16494,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16493])).
% 49.36/32.36 tff(16495,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16494, 16492])).
% 49.36/32.36 tff(16496,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16497,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 49.36/32.36 tff(16498,plain,
% 49.36/32.36 (~v115(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16497, 252, 16491])).
% 49.36/32.36 tff(16499,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB129)) | v115(constB129))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16500,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16501,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB129)) | v115(constB129)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16500, 16499])).
% 49.36/32.36 tff(16502,plain,
% 49.36/32.36 (~v116(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16501, 238, 16498])).
% 49.36/32.36 tff(16503,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16504,plain,
% 49.36/32.36 (((~v117(constB129)) | v116(constB129)) <=> (v116(constB129) | (~v117(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16505,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16504])).
% 49.36/32.36 tff(16506,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16505, 16503])).
% 49.36/32.36 tff(16507,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16508,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 49.36/32.36 tff(16509,plain,
% 49.36/32.36 (~v117(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16508, 224, 16502])).
% 49.36/32.36 tff(16510,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB129)) | v117(constB129))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16511,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16512,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB129)) | v117(constB129)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 49.36/32.36 tff(16513,plain,
% 49.36/32.36 (~v121(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16512, 1001, 16509])).
% 49.36/32.36 tff(16514,assumption,(v100(constB128)), introduced(assumption)).
% 49.36/32.36 tff(16515,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v118(constB129)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v118(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16516,plain,
% 49.36/32.36 (((~v118(constB129)) | v117(constB129)) <=> (v117(constB129) | (~v118(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16517,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v118(constB129))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16516])).
% 49.36/32.36 tff(16518,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v118(constB129)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16517, 16515])).
% 49.36/32.36 tff(16519,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB129)) | v117(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16520,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v118(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 49.36/32.36 tff(16521,plain,
% 49.36/32.36 (~v118(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16520, 210, 16509])).
% 49.36/32.36 tff(16522,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB129) | (~v120(constB129)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v120(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16523,plain,
% 49.36/32.36 (((~v120(constB129)) | v118(constB129)) <=> (v118(constB129) | (~v120(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16524,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB129)) | v118(constB129))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB129) | (~v120(constB129))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16523])).
% 49.36/32.36 tff(16525,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB129)) | v118(constB129))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v120(constB129)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16524, 16522])).
% 49.36/32.36 tff(16526,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB129)) | v118(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16527,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v120(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16526, 16525])).
% 49.36/32.36 tff(16528,plain,
% 49.36/32.36 (~v120(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16527, 665, 16521])).
% 49.36/32.36 tff(16529,assumption,(v119(constB127)), introduced(assumption)).
% 49.36/32.36 tff(16530,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB127)) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB127)) | (~v130(constB127, 2)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16531,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB127)) | (~v130(constB127, 2)))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16532,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB127)) | (~v130(constB127, 2))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 49.36/32.36 tff(16533,plain,
% 49.36/32.36 (~v130(constB127, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16532, 579, 16529])).
% 49.36/32.36 tff(16534,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16535,plain,
% 49.36/32.36 ((v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2))) <=> ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16536,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2)))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16535])).
% 49.36/32.36 tff(16537,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16536, 16534])).
% 49.36/32.36 tff(16538,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16539,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16538, 16537])).
% 49.36/32.36 tff(16540,plain,
% 49.36/32.36 ((~v127(constB127, 2)) | v130(constB127, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16539, 593, 16235])).
% 49.36/32.36 tff(16541,plain,
% 49.36/32.36 (~v127(constB127, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16540, 16533])).
% 49.36/32.36 tff(16542,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16543,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16544,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16543, 16542])).
% 49.36/32.36 tff(16545,plain,
% 49.36/32.36 (v127(constB127, 2) | (~v129(constB128, 2))),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16544, 611, 16253])).
% 49.36/32.36 tff(16546,plain,
% 49.36/32.36 (~v129(constB128, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16545, 16541])).
% 49.36/32.36 tff(16547,plain,
% 49.36/32.36 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16548,plain,
% 49.36/32.36 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16549,plain,
% 49.36/32.36 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16548, 16547])).
% 49.36/32.36 tff(16550,plain,
% 49.36/32.36 ((~v90(constB128, 2)) | v129(constB128, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16549, 626, 16514])).
% 49.36/32.36 tff(16551,plain,
% 49.36/32.36 (~v90(constB128, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16550, 16546])).
% 49.36/32.36 tff(16552,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16553,plain,
% 49.36/32.36 (((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2))) <=> (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16554,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16553])).
% 49.36/32.36 tff(16555,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16554, 16552])).
% 49.36/32.36 tff(16556,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16557,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 49.36/32.36 tff(16558,plain,
% 49.36/32.36 (v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2))),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16557, 122, 16315])).
% 49.36/32.36 tff(16559,plain,
% 49.36/32.36 (v90(constB128, 2) | (~v90(constB129, 2))),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16558, 16327])).
% 49.36/32.36 tff(16560,plain,
% 49.36/32.36 (~v90(constB129, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16559, 16551])).
% 49.36/32.36 tff(16561,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB127)) | v130(constB127, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB127)) | v130(constB127, 0))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16562,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB127)) | v130(constB127, 0))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16563,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB127)) | v130(constB127, 0)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16562, 16561])).
% 49.36/32.36 tff(16564,plain,
% 49.36/32.36 (v130(constB127, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16563, 501, 16529])).
% 49.36/32.36 tff(16565,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB127) | (~v130(constB127, 0)) | v127(constB127, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB127) | (~v130(constB127, 0)) | v127(constB127, 0))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16566,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB127) | (~v130(constB127, 0)) | v127(constB127, 0))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16567,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB127) | (~v130(constB127, 0)) | v127(constB127, 0)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16566, 16565])).
% 49.36/32.36 tff(16568,plain,
% 49.36/32.36 ((~v130(constB127, 0)) | v127(constB127, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16567, 515, 16235])).
% 49.36/32.36 tff(16569,plain,
% 49.36/32.36 (v127(constB127, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16568, 16564])).
% 49.36/32.36 tff(16570,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 0)) | v129(constB128, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB127, constB128)) | (~v127(constB127, 0)) | v129(constB128, 0))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16571,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 0)) | v129(constB128, 0))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16572,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB127, constB128)) | (~v127(constB127, 0)) | v129(constB128, 0)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16571, 16570])).
% 49.36/32.36 tff(16573,plain,
% 49.36/32.36 ((~v127(constB127, 0)) | v129(constB128, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16572, 530, 16253])).
% 49.36/32.36 tff(16574,plain,
% 49.36/32.36 (v129(constB128, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16573, 16569])).
% 49.36/32.36 tff(16575,plain,
% 49.36/32.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB128, 0) | (~v129(constB128, 0)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB128, 0) | (~v129(constB128, 0)) | (~v100(constB128)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16576,plain,
% 49.36/32.36 ((v90(constB128, 0) | (~v100(constB128)) | (~v129(constB128, 0))) <=> (v90(constB128, 0) | (~v129(constB128, 0)) | (~v100(constB128)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16577,plain,
% 49.36/32.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB128, 0) | (~v100(constB128)) | (~v129(constB128, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB128, 0) | (~v129(constB128, 0)) | (~v100(constB128))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16576])).
% 49.36/32.36 tff(16578,plain,
% 49.36/32.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB128, 0) | (~v100(constB128)) | (~v129(constB128, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB128, 0) | (~v129(constB128, 0)) | (~v100(constB128)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16577, 16575])).
% 49.36/32.36 tff(16579,plain,
% 49.36/32.36 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB128, 0) | (~v100(constB128)) | (~v129(constB128, 0)))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16580,plain,
% 49.36/32.36 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB128, 0) | (~v129(constB128, 0)) | (~v100(constB128))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16579, 16578])).
% 49.36/32.36 tff(16581,plain,
% 49.36/32.36 (v90(constB128, 0) | (~v129(constB128, 0))),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16580, 545, 16514])).
% 49.36/32.36 tff(16582,plain,
% 49.36/32.36 (v90(constB128, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16581, 16574])).
% 49.36/32.36 tff(16583,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB128, 0)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB128, 0)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 0))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16584,plain,
% 49.36/32.36 (((~nextState(constB128, constB129)) | (~v90(constB128, 0)) | v100(constB129) | v90(constB129, 0)) <=> ((~v90(constB128, 0)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 0))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16585,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 0)) | v100(constB129) | v90(constB129, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB128, 0)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 0)))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16584])).
% 49.36/32.36 tff(16586,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 0)) | v100(constB129) | v90(constB129, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB128, 0)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 0))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16585, 16583])).
% 49.36/32.36 tff(16587,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 0)) | v100(constB129) | v90(constB129, 0))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16588,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB128, 0)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 0)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 49.36/32.36 tff(16589,plain,
% 49.36/32.36 ((~v90(constB128, 0)) | v100(constB129) | v90(constB129, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16588, 563, 16315])).
% 49.36/32.36 tff(16590,plain,
% 49.36/32.36 ((~v90(constB128, 0)) | v90(constB129, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16589, 16327])).
% 49.36/32.36 tff(16591,plain,
% 49.36/32.36 (v90(constB129, 0)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16590, 16582])).
% 49.36/32.36 tff(16592,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB127)) | (~v130(constB127, 1)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16593,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB127)) | (~v130(constB127, 1)))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16594,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB127)) | (~v130(constB127, 1))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16593, 16592])).
% 49.36/32.36 tff(16595,plain,
% 49.36/32.36 (~v130(constB127, 1)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16594, 394, 16529])).
% 49.36/32.36 tff(16596,plain,
% 49.36/32.36 (~v127(constB127, 1)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16355, 16595])).
% 49.36/32.36 tff(16597,plain,
% 49.36/32.36 (~v129(constB128, 1)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16360, 16596])).
% 49.36/32.36 tff(16598,plain,
% 49.36/32.36 ((~v90(constB128, 1)) | v129(constB128, 1)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16367, 453, 16514])).
% 49.36/32.36 tff(16599,plain,
% 49.36/32.36 (~v90(constB128, 1)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16598, 16597])).
% 49.36/32.36 tff(16600,plain,
% 49.36/32.36 (~v90(constB129, 1)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16377, 16599])).
% 49.36/32.36 tff(16601,assumption,(~v120(constB129)), introduced(assumption)).
% 49.36/32.36 tff(16602,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB129, 0)) | v90(constB129, 1) | v90(constB129, 2) | v120(constB129))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB129, 0)) | v90(constB129, 1) | v90(constB129, 2) | v120(constB129))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16603,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB129, 0)) | v90(constB129, 1) | v90(constB129, 2) | v120(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16604,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB129, 0)) | v90(constB129, 1) | v90(constB129, 2) | v120(constB129)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 49.36/32.36 tff(16605,plain,
% 49.36/32.36 ((~v90(constB129, 0)) | v90(constB129, 1) | v90(constB129, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16604, 651, 16601])).
% 49.36/32.36 tff(16606,plain,
% 49.36/32.36 ($false),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16605, 16600, 16591, 16560])).
% 49.36/32.36 tff(16607,plain,((~v119(constB127)) | v120(constB129) | (~v100(constB128))), inference(lemma,lemma(discharge,[]))).
% 49.36/32.36 tff(16608,plain,
% 49.36/32.36 (~v119(constB127)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16607, 16514, 16528])).
% 49.36/32.36 tff(16609,assumption,(~v121(constB129)), introduced(assumption)).
% 49.36/32.36 tff(16610,assumption,(~v90(constB130, 2)), introduced(assumption)).
% 49.36/32.36 tff(16611,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16612,plain,
% 49.36/32.36 (((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2)) <=> ((~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16613,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2)))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16612])).
% 49.36/32.36 tff(16614,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16613, 16611])).
% 49.36/32.36 tff(16615,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16616,plain,
% 49.36/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2)),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 49.36/32.36 tff(16617,plain,
% 49.36/32.36 ((~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16616, 1394, 16432])).
% 49.36/32.36 tff(16618,plain,
% 49.36/32.36 (~v90(constB129, 2)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16617, 16610, 16438])).
% 49.36/32.36 tff(16619,assumption,(~v90(constB129, 2)), introduced(assumption)).
% 49.36/32.36 tff(16620,assumption,(~v90(constB130, 0)), introduced(assumption)).
% 49.36/32.36 tff(16621,assumption,(~v90(constB129, 1)), introduced(assumption)).
% 49.36/32.36 tff(16622,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v26(constB129)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v26(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16623,plain,
% 49.36/32.36 (((~v26(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v26(constB129)))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16624,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v26(constB129))))),
% 49.36/32.36 inference(monotonicity,[status(thm)],[16623])).
% 49.36/32.36 tff(16625,plain,
% 49.36/32.36 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v26(constB129)))),
% 49.36/32.36 inference(transitivity,[status(thm)],[16624, 16622])).
% 49.36/32.36 tff(16626,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB129)) | v108(constB129))),
% 49.36/32.36 inference(quant_inst,[status(thm)],[])).
% 49.36/32.36 tff(16627,plain,
% 49.36/32.36 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v26(constB129))),
% 49.36/32.36 inference(modus_ponens,[status(thm)],[16626, 16625])).
% 49.36/32.36 tff(16628,plain,
% 49.36/32.36 (~v26(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16627, 1761, 16472])).
% 49.36/32.36 tff(16629,plain,
% 49.36/32.36 (~v113(constB129)),
% 49.36/32.36 inference(unit_resolution,[status(thm)],[16482, 280, 16628, 16479])).
% 49.36/32.36 tff(16630,plain,
% 49.36/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB129, 0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB129, 0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 0))),
% 49.36/32.36 inference(rewrite,[status(thm)],[])).
% 49.36/32.36 tff(16631,plain,
% 49.36/32.36 (((~nextState(constB129, constB130)) | (~v90(constB129, 0)) | v100(constB130) | v90(constB130, 0)) <=> ((~v90(constB129, 0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 0))),
% 49.44/32.36 inference(rewrite,[status(thm)],[])).
% 49.44/32.36 tff(16632,plain,
% 49.44/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 0)) | v100(constB130) | v90(constB130, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB129, 0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 0)))),
% 49.44/32.36 inference(monotonicity,[status(thm)],[16631])).
% 49.44/32.36 tff(16633,plain,
% 49.44/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 0)) | v100(constB130) | v90(constB130, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB129, 0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 0))),
% 49.44/32.36 inference(transitivity,[status(thm)],[16632, 16630])).
% 49.44/32.36 tff(16634,plain,
% 49.44/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 0)) | v100(constB130) | v90(constB130, 0))),
% 49.44/32.36 inference(quant_inst,[status(thm)],[])).
% 49.44/32.36 tff(16635,plain,
% 49.44/32.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB129, 0)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 0)),
% 49.44/32.36 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 49.44/32.36 tff(16636,plain,
% 49.44/32.36 ((~v90(constB129, 0)) | v100(constB130) | v90(constB130, 0)),
% 49.44/32.36 inference(unit_resolution,[status(thm)],[16635, 563, 16432])).
% 49.44/32.36 tff(16637,plain,
% 49.44/32.36 (~v90(constB129, 0)),
% 49.44/32.36 inference(unit_resolution,[status(thm)],[16636, 16438, 16620])).
% 49.44/32.36 tff(16638,assumption,(v90(constB130, 2)), introduced(assumption)).
% 49.44/32.36 tff(16639,plain,
% 49.44/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 49.44/32.36 inference(rewrite,[status(thm)],[])).
% 49.44/32.36 tff(16640,plain,
% 49.44/32.36 (((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2))) <=> (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 49.44/32.36 inference(rewrite,[status(thm)],[])).
% 49.44/32.36 tff(16641,plain,
% 49.44/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2))))),
% 49.44/32.36 inference(monotonicity,[status(thm)],[16640])).
% 49.44/32.36 tff(16642,plain,
% 49.44/32.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16641, 16639])).
% 49.44/32.37 tff(16643,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16644,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16643, 16642])).
% 49.44/32.37 tff(16645,plain,
% 49.44/32.37 (v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2))),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16644, 122, 16432])).
% 49.44/32.37 tff(16646,plain,
% 49.44/32.37 (v90(constB129, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16645, 16438, 16638])).
% 49.44/32.37 tff(16647,plain,
% 49.44/32.37 (v90(constB129, 0) | (~v90(constB129, 2)) | v123(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16415, 1495, 16621])).
% 49.44/32.37 tff(16648,plain,
% 49.44/32.37 (v123(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16647, 16646, 16637])).
% 49.44/32.37 tff(16649,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v123(constB129)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16650,plain,
% 49.44/32.37 (((~v123(constB129)) | v115(constB129)) <=> (v115(constB129) | (~v123(constB129)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16651,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v123(constB129))))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16650])).
% 49.44/32.37 tff(16652,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129)))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16651, 16649])).
% 49.44/32.37 tff(16653,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16654,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 49.44/32.37 tff(16655,plain,
% 49.44/32.37 (v115(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16654, 1506, 16648])).
% 49.44/32.37 tff(16656,plain,
% 49.44/32.37 (v114(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16497, 252, 16655])).
% 49.44/32.37 tff(16657,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16490, 266, 16656, 16629])).
% 49.44/32.37 tff(16658,plain,(v100(constB130) | v90(constB129, 1) | (~v90(constB130, 2)) | v90(constB130, 0)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16659,plain,
% 49.44/32.37 (~v90(constB130, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16658, 16438, 16620, 16621])).
% 49.44/32.37 tff(16660,plain,
% 49.44/32.37 (~v90(constB129, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16617, 16438, 16610])).
% 49.44/32.37 tff(16661,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB129, 0) | v90(constB129, 1) | v90(constB129, 2) | v119(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB129, 0) | v90(constB129, 1) | v90(constB129, 2) | v119(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16662,plain,
% 49.44/32.37 ((v90(constB129, 0) | v119(constB129) | v90(constB129, 1) | v90(constB129, 2)) <=> (v90(constB129, 0) | v90(constB129, 1) | v90(constB129, 2) | v119(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16663,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB129, 0) | v119(constB129) | v90(constB129, 1) | v90(constB129, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB129, 0) | v90(constB129, 1) | v90(constB129, 2) | v119(constB129)))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16662])).
% 49.44/32.37 tff(16664,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB129, 0) | v119(constB129) | v90(constB129, 1) | v90(constB129, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB129, 0) | v90(constB129, 1) | v90(constB129, 2) | v119(constB129))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16663, 16661])).
% 49.44/32.37 tff(16665,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB129, 0) | v119(constB129) | v90(constB129, 1) | v90(constB129, 2))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16666,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB129, 0) | v90(constB129, 1) | v90(constB129, 2) | v119(constB129)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 49.44/32.37 tff(16667,plain,
% 49.44/32.37 (v90(constB129, 0) | v90(constB129, 2) | v119(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16666, 185, 16621])).
% 49.44/32.37 tff(16668,plain,
% 49.44/32.37 (v119(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16667, 16637, 16660])).
% 49.44/32.37 tff(16669,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB129) | (~v119(constB129)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v119(constB129)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16670,plain,
% 49.44/32.37 (((~v119(constB129)) | v118(constB129)) <=> (v118(constB129) | (~v119(constB129)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16671,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB129)) | v118(constB129))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB129) | (~v119(constB129))))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16670])).
% 49.44/32.37 tff(16672,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB129)) | v118(constB129))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v119(constB129)))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16671, 16669])).
% 49.44/32.37 tff(16673,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB129)) | v118(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16674,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB129) | (~v119(constB129))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 49.44/32.37 tff(16675,plain,
% 49.44/32.37 (v118(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16674, 199, 16668])).
% 49.44/32.37 tff(16676,plain,
% 49.44/32.37 (v117(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16520, 210, 16675])).
% 49.44/32.37 tff(16677,plain,
% 49.44/32.37 (v116(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16508, 224, 16676])).
% 49.44/32.37 tff(16678,plain,
% 49.44/32.37 (v115(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16501, 238, 16677])).
% 49.44/32.37 tff(16679,plain,
% 49.44/32.37 (~v114(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16490, 266, 16629])).
% 49.44/32.37 tff(16680,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16497, 252, 16679, 16678])).
% 49.44/32.37 tff(16681,plain,(v100(constB130) | v90(constB129, 1) | v90(constB130, 0) | v90(constB130, 2)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16682,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16681, 16659, 16438, 16621, 16620])).
% 49.44/32.37 tff(16683,plain,(v100(constB130) | v90(constB129, 1) | v90(constB130, 0)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16684,plain,
% 49.44/32.37 (v90(constB129, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16683, 16620, 16438])).
% 49.44/32.37 tff(16685,plain,
% 49.44/32.37 (~v90(constB129, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16636, 16620, 16438])).
% 49.44/32.37 tff(16686,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB129, 0) | (~v90(constB129, 1)) | v90(constB129, 2) | v121(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB129, 0) | (~v90(constB129, 1)) | v90(constB129, 2) | v121(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16687,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB129, 0) | (~v90(constB129, 1)) | v90(constB129, 2) | v121(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16688,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB129, 0) | (~v90(constB129, 1)) | v90(constB129, 2) | v121(constB129)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16687, 16686])).
% 49.44/32.37 tff(16689,plain,
% 49.44/32.37 (v90(constB129, 0) | (~v90(constB129, 1)) | v90(constB129, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16688, 990, 16609])).
% 49.44/32.37 tff(16690,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16689, 16685, 16684, 16619])).
% 49.44/32.37 tff(16691,plain,(v90(constB130, 0) | v90(constB129, 2) | v121(constB129) | v100(constB130)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16692,plain,
% 49.44/32.37 (v90(constB130, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16691, 16618, 16609, 16438])).
% 49.44/32.37 tff(16693,assumption,(v90(constB130, 0)), introduced(assumption)).
% 49.44/32.37 tff(16694,plain,
% 49.44/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16695,plain,
% 49.44/32.37 (((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0))) <=> (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16696,plain,
% 49.44/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0))))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16695])).
% 49.44/32.37 tff(16697,plain,
% 49.44/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16696, 16694])).
% 49.44/32.37 tff(16698,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16699,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 49.44/32.37 tff(16700,plain,
% 49.44/32.37 (v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0))),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16699, 164, 16432])).
% 49.44/32.37 tff(16701,plain,
% 49.44/32.37 (v90(constB129, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16700, 16438, 16693])).
% 49.44/32.37 tff(16702,plain,
% 49.44/32.37 ((~v90(constB129, 0)) | v90(constB129, 2) | v120(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16604, 651, 16621])).
% 49.44/32.37 tff(16703,plain,
% 49.44/32.37 (v120(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16702, 16701, 16660])).
% 49.44/32.37 tff(16704,plain,
% 49.44/32.37 (v118(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16527, 665, 16703])).
% 49.44/32.37 tff(16705,plain,
% 49.44/32.37 (v117(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16520, 210, 16704])).
% 49.44/32.37 tff(16706,plain,
% 49.44/32.37 (v116(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16508, 224, 16705])).
% 49.44/32.37 tff(16707,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16501, 238, 16706, 16498])).
% 49.44/32.37 tff(16708,plain,(v100(constB130) | v90(constB129, 1) | (~v90(constB130, 0)) | v90(constB130, 2)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16709,plain,
% 49.44/32.37 (v90(constB129, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16708, 16692, 16438, 16610])).
% 49.44/32.37 tff(16710,assumption,(v90(constB129, 1)), introduced(assumption)).
% 49.44/32.37 tff(16711,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16712,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16713,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16712, 16711])).
% 49.44/32.37 tff(16714,plain,
% 49.44/32.37 ((~v90(constB129, 0)) | v90(constB129, 2) | v122(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16713, 1225, 16710])).
% 49.44/32.37 tff(16715,plain,
% 49.44/32.37 (v122(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16714, 16701, 16660])).
% 49.44/32.37 tff(16716,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB129)) | v116(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16717,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB129)) | v116(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16718,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB129)) | v116(constB129)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16717, 16716])).
% 49.44/32.37 tff(16719,plain,
% 49.44/32.37 (v116(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16718, 1236, 16715])).
% 49.44/32.37 tff(16720,plain,
% 49.44/32.37 (v115(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16501, 238, 16719])).
% 49.44/32.37 tff(16721,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16497, 252, 16720, 16491])).
% 49.44/32.37 tff(16722,plain,(v100(constB130) | (~v90(constB129, 1)) | (~v90(constB130, 0)) | v90(constB130, 2)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16723,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16722, 16709, 16692, 16438, 16610])).
% 49.44/32.37 tff(16724,plain,(v90(constB130, 2) | v100(constB130) | v121(constB129)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16725,plain,
% 49.44/32.37 (v90(constB130, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16724, 16438, 16609])).
% 49.44/32.37 tff(16726,plain,
% 49.44/32.37 (v90(constB129, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16645, 16725, 16438])).
% 49.44/32.37 tff(16727,assumption,(v90(constB129, 2)), introduced(assumption)).
% 49.44/32.37 tff(16728,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB129)) | v113(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16729,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB129)) | v113(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16730,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB129)) | v113(constB129)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16729, 16728])).
% 49.44/32.37 tff(16731,plain,
% 49.44/32.37 (~v125(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16730, 1964, 16484])).
% 49.44/32.37 tff(16732,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB129, 0) | (~v90(constB129, 1)) | (~v90(constB129, 2)) | v125(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB129, 0) | (~v90(constB129, 1)) | (~v90(constB129, 2)) | v125(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16733,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB129, 0) | (~v90(constB129, 1)) | (~v90(constB129, 2)) | v125(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16734,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB129, 0) | (~v90(constB129, 1)) | (~v90(constB129, 2)) | v125(constB129)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16733, 16732])).
% 49.44/32.37 tff(16735,plain,
% 49.44/32.37 (v90(constB129, 0) | (~v90(constB129, 1)) | (~v90(constB129, 2))),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16734, 1953, 16731])).
% 49.44/32.37 tff(16736,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16735, 16685, 16684, 16727])).
% 49.44/32.37 tff(16737,plain,(v90(constB130, 0) | (~v90(constB129, 2)) | v100(constB130)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16738,plain,
% 49.44/32.37 (v90(constB130, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16737, 16726, 16438])).
% 49.44/32.37 tff(16739,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB129, 0)) | v90(constB129, 1) | (~v90(constB129, 2)) | v124(constB129))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB129, 0)) | v90(constB129, 1) | (~v90(constB129, 2)) | v124(constB129))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16740,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB129, 0)) | v90(constB129, 1) | (~v90(constB129, 2)) | v124(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16741,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB129, 0)) | v90(constB129, 1) | (~v90(constB129, 2)) | v124(constB129)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 49.44/32.37 tff(16742,plain,
% 49.44/32.37 ((~v90(constB129, 0)) | (~v90(constB129, 2)) | v124(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16741, 1718, 16621])).
% 49.44/32.37 tff(16743,plain,
% 49.44/32.37 (v124(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16742, 16646, 16701])).
% 49.44/32.37 tff(16744,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v124(constB129)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v124(constB129)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16745,plain,
% 49.44/32.37 (((~v124(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v124(constB129)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16746,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v124(constB129))))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16745])).
% 49.44/32.37 tff(16747,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v124(constB129)))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16746, 16744])).
% 49.44/32.37 tff(16748,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB129)) | v114(constB129))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16749,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v124(constB129))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16748, 16747])).
% 49.44/32.37 tff(16750,plain,
% 49.44/32.37 (v114(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16749, 1775, 16743])).
% 49.44/32.37 tff(16751,plain,
% 49.44/32.37 (v113(constB129)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16490, 266, 16750])).
% 49.44/32.37 tff(16752,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16482, 280, 16628, 16751, 16479])).
% 49.44/32.37 tff(16753,plain,(v100(constB130) | v90(constB129, 1) | (~v90(constB130, 2)) | (~v90(constB130, 0))), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16754,plain,
% 49.44/32.37 (v90(constB129, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16753, 16738, 16438, 16725])).
% 49.44/32.37 tff(16755,plain,
% 49.44/32.37 (v90(constB128, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16377, 16754])).
% 49.44/32.37 tff(16756,plain,
% 49.44/32.37 (v129(constB128, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16598, 16755])).
% 49.44/32.37 tff(16757,plain,
% 49.44/32.37 (v127(constB127, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16360, 16756])).
% 49.44/32.37 tff(16758,plain,
% 49.44/32.37 (v130(constB127, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16355, 16757])).
% 49.44/32.37 tff(16759,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB127)) | (~v130(constB127, 1)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16760,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB127)) | (~v130(constB127, 1)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16761,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB127)) | (~v130(constB127, 1))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16760, 16759])).
% 49.44/32.37 tff(16762,plain,
% 49.44/32.37 (~v123(constB127)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16761, 1636, 16758])).
% 49.44/32.37 tff(16763,plain,
% 49.44/32.37 (v90(constB128, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16559, 16726])).
% 49.44/32.37 tff(16764,plain,
% 49.44/32.37 (v129(constB128, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16550, 16763])).
% 49.44/32.37 tff(16765,plain,
% 49.44/32.37 (v127(constB127, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16545, 16764])).
% 49.44/32.37 tff(16766,plain,
% 49.44/32.37 (v130(constB127, 2)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16540, 16765])).
% 49.44/32.37 tff(16767,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB127)) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB127)) | (~v130(constB127, 2)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16768,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB127)) | (~v130(constB127, 2)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16769,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB127)) | (~v130(constB127, 2))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 49.44/32.37 tff(16770,plain,
% 49.44/32.37 (~v120(constB127)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16769, 767, 16766])).
% 49.44/32.37 tff(16771,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB127)) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB127)) | (~v130(constB127, 2)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16772,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB127)) | (~v130(constB127, 2)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16773,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB127)) | (~v130(constB127, 2))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16772, 16771])).
% 49.44/32.37 tff(16774,plain,
% 49.44/32.37 (~v121(constB127)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16773, 1090, 16766])).
% 49.44/32.37 tff(16775,plain,
% 49.44/32.37 (v90(constB129, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16700, 16738, 16438])).
% 49.44/32.37 tff(16776,plain,
% 49.44/32.37 (v90(constB128, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16411, 16775])).
% 49.44/32.37 tff(16777,plain,
% 49.44/32.37 ((~v90(constB128, 0)) | v129(constB128, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16401, 963, 16514])).
% 49.44/32.37 tff(16778,plain,
% 49.44/32.37 (v129(constB128, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16777, 16776])).
% 49.44/32.37 tff(16779,plain,
% 49.44/32.37 (v127(constB127, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16394, 16778])).
% 49.44/32.37 tff(16780,plain,
% 49.44/32.37 (v130(constB127, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16389, 16779])).
% 49.44/32.37 tff(16781,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB127)) | (~v130(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB127)) | (~v130(constB127, 0)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16782,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB127)) | (~v130(constB127, 0)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16783,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB127)) | (~v130(constB127, 0))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16782, 16781])).
% 49.44/32.37 tff(16784,plain,
% 49.44/32.37 (~v124(constB127)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16783, 1909, 16780])).
% 49.44/32.37 tff(16785,plain,
% 49.44/32.37 (~v122(constB127)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16381, 1451, 16780])).
% 49.44/32.37 tff(16786,assumption,(~v119(constB127)), introduced(assumption)).
% 49.44/32.37 tff(16787,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16788,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16789,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 49.44/32.37 tff(16790,plain,
% 49.44/32.37 (v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2))),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16789, 2097, 16786])).
% 49.44/32.37 tff(16791,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16790, 16785, 16784, 16774, 16770, 16766, 16762])).
% 49.44/32.37 tff(16792,plain,(v100(constB130) | v119(constB127) | (~v100(constB128)) | v121(constB129)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16793,plain,
% 49.44/32.37 ($false),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16792, 16608, 16514, 16438, 16513])).
% 49.44/32.37 tff(16794,plain,((~v100(constB128)) | v100(constB130)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.37 tff(16795,plain,
% 49.44/32.37 (v100(constB130)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16794, 16287])).
% 49.44/32.37 tff(16796,plain,
% 49.44/32.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16797,plain,
% 49.44/32.37 ((v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0))) <=> (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16798,plain,
% 49.44/32.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16797])).
% 49.44/32.37 tff(16799,plain,
% 49.44/32.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16798, 16796])).
% 49.44/32.37 tff(16800,plain,
% 49.44/32.37 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16801,plain,
% 49.44/32.37 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16800, 16799])).
% 49.44/32.37 tff(16802,plain,
% 49.44/32.37 (v90(constB130, 0) | (~v129(constB130, 0))),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16801, 545, 16795])).
% 49.44/32.37 tff(16803,plain,
% 49.44/32.37 (v90(constB130, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16802, 16437])).
% 49.44/32.37 tff(16804,plain,
% 49.44/32.37 ((~v1(constB131)) <=> (~v1(constB131))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16805,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 49.44/32.37 tff(16806,plain,
% 49.44/32.37 (~v1(constB131)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 49.44/32.37 tff(16807,plain,
% 49.44/32.37 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16808,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 49.44/32.37 tff(16809,plain,
% 49.44/32.37 (nextState(constB130, constB131)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16808, 16807])).
% 49.44/32.37 tff(16810,plain,
% 49.44/32.37 (((~![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)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16811,plain,
% 49.44/32.37 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16812,plain,
% 49.44/32.37 (((~![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))))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16811])).
% 49.44/32.37 tff(16813,plain,
% 49.44/32.37 (((~![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)))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16812, 16810])).
% 49.44/32.37 tff(16814,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16815,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 49.44/32.37 tff(16816,plain,
% 49.44/32.37 (~v101(constB131)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16815, 90, 16809, 16806])).
% 49.44/32.37 tff(16817,plain,
% 49.44/32.37 (((~![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)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16818,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16819,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 49.44/32.37 tff(16820,plain,
% 49.44/32.37 (v101(constB131) | (~v100(constB131))),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16819, 107, 16809])).
% 49.44/32.37 tff(16821,plain,
% 49.44/32.37 (~v100(constB131)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16820, 16816])).
% 49.44/32.37 tff(16822,plain,
% 49.44/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16823,plain,
% 49.44/32.37 (((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)) <=> ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16824,plain,
% 49.44/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16823])).
% 49.44/32.37 tff(16825,plain,
% 49.44/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16824, 16822])).
% 49.44/32.37 tff(16826,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16827,plain,
% 49.44/32.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 49.44/32.37 tff(16828,plain,
% 49.44/32.37 ((~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16827, 563, 16809])).
% 49.44/32.37 tff(16829,plain,
% 49.44/32.37 ((~v90(constB130, 0)) | v90(constB131, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16828, 16821])).
% 49.44/32.37 tff(16830,plain,
% 49.44/32.37 (v90(constB131, 0)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16829, 16803])).
% 49.44/32.37 tff(16831,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1)))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16832,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16833,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1))),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16832, 16831])).
% 49.44/32.37 tff(16834,plain,
% 49.44/32.37 (~v130(constB129, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16833, 1636, 16416])).
% 49.44/32.37 tff(16835,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16836,plain,
% 49.44/32.37 ((v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1))) <=> ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 49.44/32.37 inference(rewrite,[status(thm)],[])).
% 49.44/32.37 tff(16837,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)))),
% 49.44/32.37 inference(monotonicity,[status(thm)],[16836])).
% 49.44/32.37 tff(16838,plain,
% 49.44/32.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 49.44/32.37 inference(transitivity,[status(thm)],[16837, 16835])).
% 49.44/32.37 tff(16839,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))),
% 49.44/32.37 inference(quant_inst,[status(thm)],[])).
% 49.44/32.37 tff(16840,plain,
% 49.44/32.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)),
% 49.44/32.37 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 49.44/32.37 tff(16841,plain,
% 49.44/32.37 ((~v127(constB129, 1)) | v130(constB129, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16840, 408, 16424])).
% 49.44/32.37 tff(16842,plain,
% 49.44/32.37 (~v127(constB129, 1)),
% 49.44/32.37 inference(unit_resolution,[status(thm)],[16841, 16834])).
% 49.44/32.37 tff(16843,plain,
% 49.44/32.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16844,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16845,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16844, 16843])).
% 49.44/32.38 tff(16846,plain,
% 49.44/32.38 (v127(constB129, 1) | (~v129(constB130, 1))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16845, 438, 16432])).
% 49.44/32.38 tff(16847,plain,
% 49.44/32.38 (~v129(constB130, 1)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16846, 16842])).
% 49.44/32.38 tff(16848,plain,
% 49.44/32.38 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16849,plain,
% 49.44/32.38 (((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1)) <=> ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16850,plain,
% 49.44/32.38 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16849])).
% 49.44/32.38 tff(16851,plain,
% 49.44/32.38 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16850, 16848])).
% 49.44/32.38 tff(16852,plain,
% 49.44/32.38 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16853,plain,
% 49.44/32.38 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 49.44/32.38 tff(16854,plain,
% 49.44/32.38 ((~v90(constB130, 1)) | v129(constB130, 1)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16853, 453, 16795])).
% 49.44/32.38 tff(16855,plain,
% 49.44/32.38 (~v90(constB130, 1)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16854, 16847])).
% 49.44/32.38 tff(16856,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16857,plain,
% 49.44/32.38 (((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))) <=> (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16858,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16857])).
% 49.44/32.38 tff(16859,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16858, 16856])).
% 49.44/32.38 tff(16860,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16861,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16860, 16859])).
% 49.44/32.38 tff(16862,plain,
% 49.44/32.38 (v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16861, 143, 16809])).
% 49.44/32.38 tff(16863,plain,
% 49.44/32.38 (v90(constB130, 1) | (~v90(constB131, 1))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16862, 16821])).
% 49.44/32.38 tff(16864,plain,
% 49.44/32.38 (~v90(constB131, 1)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16863, 16855])).
% 49.44/32.38 tff(16865,assumption,(v122(constB127)), introduced(assumption)).
% 49.44/32.38 tff(16866,plain,
% 49.44/32.38 (v116(constB127)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16212, 1236, 16865])).
% 49.44/32.38 tff(16867,plain,
% 49.44/32.38 (v115(constB127)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16219, 238, 16866])).
% 49.44/32.38 tff(16868,plain,
% 49.44/32.38 (v114(constB127)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16223, 252, 16867])).
% 49.44/32.38 tff(16869,plain,
% 49.44/32.38 (v113(constB127)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16230, 266, 16868])).
% 49.44/32.38 tff(16870,assumption,(~v26(constB127)), introduced(assumption)).
% 49.44/32.38 tff(16871,plain,
% 49.44/32.38 (v112(constB127) | (~v113(constB127))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16241, 280, 16870])).
% 49.44/32.38 tff(16872,plain,
% 49.44/32.38 (v112(constB127)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16871, 16869])).
% 49.44/32.38 tff(16873,plain,
% 49.44/32.38 (v108(constB127)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16249, 292, 16872])).
% 49.44/32.38 tff(16874,plain,
% 49.44/32.38 (v110(constB128)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16260, 16873])).
% 49.44/32.38 tff(16875,plain,
% 49.44/32.38 (v100(constB128)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16286, 16874])).
% 49.44/32.38 tff(16876,plain,
% 49.44/32.38 (v130(constB127, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16290, 1314, 16865])).
% 49.44/32.38 tff(16877,plain,
% 49.44/32.38 ((~v130(constB127, 2)) | v127(constB127, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16294, 1328, 16870])).
% 49.44/32.38 tff(16878,plain,
% 49.44/32.38 (v127(constB127, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16877, 16876])).
% 49.44/32.38 tff(16879,plain,
% 49.44/32.38 (v129(constB128, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16300, 16878])).
% 49.44/32.38 tff(16880,plain,
% 49.44/32.38 (v90(constB128, 2) | (~v100(constB128))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16307, 1358, 16879])).
% 49.44/32.38 tff(16881,plain,
% 49.44/32.38 (v90(constB128, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16880, 16875])).
% 49.44/32.38 tff(16882,plain,
% 49.44/32.38 (v90(constB129, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16335, 16881])).
% 49.44/32.38 tff(16883,assumption,(~v129(constB128, 1)), introduced(assumption)).
% 49.44/32.38 tff(16884,plain,
% 49.44/32.38 ((~v90(constB128, 1)) | (~v100(constB128))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16367, 453, 16883])).
% 49.44/32.38 tff(16885,plain,
% 49.44/32.38 (~v90(constB128, 1)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16884, 16875])).
% 49.44/32.38 tff(16886,plain,
% 49.44/32.38 (~v90(constB129, 1)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16377, 16885])).
% 49.44/32.38 tff(16887,plain,
% 49.44/32.38 (~v130(constB127, 0)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16381, 1451, 16865])).
% 49.44/32.38 tff(16888,plain,
% 49.44/32.38 ((~v127(constB127, 0)) | v130(constB127, 0)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16388, 930, 16870])).
% 49.44/32.38 tff(16889,plain,
% 49.44/32.38 (~v127(constB127, 0)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16888, 16887])).
% 49.44/32.38 tff(16890,plain,
% 49.44/32.38 (~v129(constB128, 0)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16394, 16889])).
% 49.44/32.38 tff(16891,plain,
% 49.44/32.38 ((~v90(constB128, 0)) | (~v100(constB128))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16401, 963, 16890])).
% 49.44/32.38 tff(16892,plain,
% 49.44/32.38 (~v90(constB128, 0)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16891, 16875])).
% 49.44/32.38 tff(16893,plain,
% 49.44/32.38 (~v90(constB129, 0)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16411, 16892])).
% 49.44/32.38 tff(16894,plain,
% 49.44/32.38 (v123(constB129)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16415, 1495, 16893, 16886, 16882])).
% 49.44/32.38 tff(16895,plain,
% 49.44/32.38 (v100(constB130)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16617, 16882, 16610])).
% 49.44/32.38 tff(16896,plain,
% 49.44/32.38 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16897,plain,
% 49.44/32.38 ((v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2))) <=> (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16898,plain,
% 49.44/32.38 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16897])).
% 49.44/32.38 tff(16899,plain,
% 49.44/32.38 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16898, 16896])).
% 49.44/32.38 tff(16900,plain,
% 49.44/32.38 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16901,plain,
% 49.44/32.38 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16900, 16899])).
% 49.44/32.38 tff(16902,plain,
% 49.44/32.38 ((~v129(constB130, 2)) | (~v100(constB130))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16901, 1358, 16610])).
% 49.44/32.38 tff(16903,plain,
% 49.44/32.38 (~v129(constB130, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16902, 16895])).
% 49.44/32.38 tff(16904,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16905,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16906,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16905, 16904])).
% 49.44/32.38 tff(16907,plain,
% 49.44/32.38 ((~v127(constB129, 2)) | v129(constB130, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16906, 1343, 16432])).
% 49.44/32.38 tff(16908,plain,
% 49.44/32.38 (~v127(constB129, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16907, 16903])).
% 49.44/32.38 tff(16909,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16910,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16911,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 49.44/32.38 tff(16912,plain,
% 49.44/32.38 ((~v130(constB129, 2)) | v127(constB129, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16911, 1328, 16424])).
% 49.44/32.38 tff(16913,plain,
% 49.44/32.38 (~v130(constB129, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16912, 16908])).
% 49.44/32.38 tff(16914,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16915,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16916,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16915, 16914])).
% 49.44/32.38 tff(16917,plain,
% 49.44/32.38 ($false),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16916, 1580, 16913, 16894])).
% 49.44/32.38 tff(16918,plain,((~v122(constB127)) | v90(constB130, 2) | v129(constB128, 1) | v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.38 tff(16919,plain,
% 49.44/32.38 ((~v122(constB127)) | v90(constB130, 2) | v129(constB128, 1)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16918, 16235])).
% 49.44/32.38 tff(16920,plain,
% 49.44/32.38 (v90(constB130, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16919, 16361, 16209])).
% 49.44/32.38 tff(16921,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16922,plain,
% 49.44/32.38 (((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)) <=> ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16923,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16922])).
% 49.44/32.38 tff(16924,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16923, 16921])).
% 49.44/32.38 tff(16925,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16926,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16925, 16924])).
% 49.44/32.38 tff(16927,plain,
% 49.44/32.38 ((~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16926, 1394, 16809])).
% 49.44/32.38 tff(16928,plain,
% 49.44/32.38 ((~v90(constB130, 2)) | v90(constB131, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16927, 16821])).
% 49.44/32.38 tff(16929,plain,
% 49.44/32.38 (v90(constB131, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16928, 16920])).
% 49.44/32.38 tff(16930,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16931,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16932,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 49.44/32.38 tff(16933,plain,
% 49.44/32.38 ((~v90(constB131, 0)) | v90(constB131, 1) | v124(constB131)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16932, 1718, 16929])).
% 49.44/32.38 tff(16934,plain,
% 49.44/32.38 (v124(constB131)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16933, 16864, 16830])).
% 49.44/32.38 tff(16935,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16936,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16937,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16936, 16935])).
% 49.44/32.38 tff(16938,plain,
% 49.44/32.38 (v114(constB131)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16937, 1775, 16934])).
% 49.44/32.38 tff(16939,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB131)) | v113(constB131))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16940,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16941,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB131)) | v113(constB131)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 49.44/32.38 tff(16942,plain,
% 49.44/32.38 (v113(constB131)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16941, 266, 16938])).
% 49.44/32.38 tff(16943,assumption,(v26(constB131)), introduced(assumption)).
% 49.44/32.38 tff(16944,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16945,plain,
% 49.44/32.38 ($false),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16944, 43, 16943])).
% 49.44/32.38 tff(16946,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.38 tff(16947,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | v112(constB131) | (~v113(constB131)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16948,plain,
% 49.44/32.38 ((v26(constB131) | (~v113(constB131)) | v112(constB131)) <=> (v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16949,plain,
% 49.44/32.38 (((~![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) | v112(constB131) | (~v113(constB131))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16948])).
% 49.44/32.38 tff(16950,plain,
% 49.44/32.38 (((~![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) | v112(constB131) | (~v113(constB131)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16949, 16947])).
% 49.44/32.38 tff(16951,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16952,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16951, 16950])).
% 49.44/32.38 tff(16953,plain,
% 49.44/32.38 (v112(constB131) | (~v113(constB131))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16952, 280, 16946])).
% 49.44/32.38 tff(16954,plain,
% 49.44/32.38 (v112(constB131)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16953, 16942])).
% 49.44/32.38 tff(16955,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16956,plain,
% 49.44/32.38 (((~v112(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v112(constB131)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16957,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16956])).
% 49.44/32.38 tff(16958,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16957, 16955])).
% 49.44/32.38 tff(16959,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16960,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16959, 16958])).
% 49.44/32.38 tff(16961,plain,
% 49.44/32.38 (v108(constB131)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16960, 292, 16954])).
% 49.44/32.38 tff(16962,plain,
% 49.44/32.38 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16963,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 49.44/32.38 tff(16964,plain,
% 49.44/32.38 (nextState(constB131, constB132)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16963, 16962])).
% 49.44/32.38 tff(16965,plain,
% 49.44/32.38 (((~![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)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16966,plain,
% 49.44/32.38 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16967,plain,
% 49.44/32.38 (((~![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))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16966])).
% 49.44/32.38 tff(16968,plain,
% 49.44/32.38 (((~![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)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16967, 16965])).
% 49.44/32.38 tff(16969,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16970,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16969, 16968])).
% 49.44/32.38 tff(16971,plain,
% 49.44/32.38 (v110(constB132) | (~v108(constB131))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16970, 312, 16964])).
% 49.44/32.38 tff(16972,plain,
% 49.44/32.38 (v110(constB132)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16971, 16961])).
% 49.44/32.38 tff(16973,plain,
% 49.44/32.38 (((~![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)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16974,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16975,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 49.44/32.38 tff(16976,plain,
% 49.44/32.38 (~v104(constB132)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16975, 330, 16964, 16806])).
% 49.44/32.38 tff(16977,plain,
% 49.44/32.38 (((~![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)) | v102(constB132) | v104(constB132))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16978,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16979,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16978, 16977])).
% 49.44/32.38 tff(16980,plain,
% 49.44/32.38 (v102(constB132) | v104(constB132)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16979, 344, 16964])).
% 49.44/32.38 tff(16981,plain,
% 49.44/32.38 (v102(constB132)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16980, 16976])).
% 49.44/32.38 tff(16982,plain,
% 49.44/32.38 (v1(constB132) <=> v1(constB132)),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16983,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 49.44/32.38 tff(16984,plain,
% 49.44/32.38 (v1(constB132)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16983, 16982])).
% 49.44/32.38 tff(16985,plain,
% 49.44/32.38 (((~![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)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16986,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16987,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16986, 16985])).
% 49.44/32.38 tff(16988,plain,
% 49.44/32.38 (v101(constB132) | (~v102(constB132))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16987, 362, 16964, 16984])).
% 49.44/32.38 tff(16989,plain,
% 49.44/32.38 (v101(constB132)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16988, 16981])).
% 49.44/32.38 tff(16990,plain,
% 49.44/32.38 (((~![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)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16991,plain,
% 49.44/32.38 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(16992,plain,
% 49.44/32.38 (((~![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))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[16991])).
% 49.44/32.38 tff(16993,plain,
% 49.44/32.38 (((~![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)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[16992, 16990])).
% 49.44/32.38 tff(16994,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(16995,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[16994, 16993])).
% 49.44/32.38 tff(16996,plain,
% 49.44/32.38 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16995, 377, 16964])).
% 49.44/32.38 tff(16997,plain,
% 49.44/32.38 (v100(constB132) | (~v110(constB132))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16996, 16989])).
% 49.44/32.38 tff(16998,plain,
% 49.44/32.38 (v100(constB132)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[16997, 16972])).
% 49.44/32.38 tff(16999,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17000,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(17001,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 49.44/32.38 tff(17002,plain,
% 49.44/32.38 (v130(constB131, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[17001, 1729, 16934])).
% 49.44/32.38 tff(17003,plain,
% 49.44/32.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17004,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(17005,plain,
% 49.44/32.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[17004, 17003])).
% 49.44/32.38 tff(17006,plain,
% 49.44/32.38 ((~v130(constB131, 2)) | v127(constB131, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[17005, 1328, 16946])).
% 49.44/32.38 tff(17007,plain,
% 49.44/32.38 (v127(constB131, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[17006, 17002])).
% 49.44/32.38 tff(17008,plain,
% 49.44/32.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17009,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(17010,plain,
% 49.44/32.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[17009, 17008])).
% 49.44/32.38 tff(17011,plain,
% 49.44/32.38 ((~v127(constB131, 2)) | v129(constB132, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[17010, 1343, 16964])).
% 49.44/32.38 tff(17012,plain,
% 49.44/32.38 (v129(constB132, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[17011, 17007])).
% 49.44/32.38 tff(17013,plain,
% 49.44/32.38 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17014,plain,
% 49.44/32.38 ((v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2))) <=> (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17015,plain,
% 49.44/32.38 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))))),
% 49.44/32.38 inference(monotonicity,[status(thm)],[17014])).
% 49.44/32.38 tff(17016,plain,
% 49.44/32.38 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 49.44/32.38 inference(transitivity,[status(thm)],[17015, 17013])).
% 49.44/32.38 tff(17017,plain,
% 49.44/32.38 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))),
% 49.44/32.38 inference(quant_inst,[status(thm)],[])).
% 49.44/32.38 tff(17018,plain,
% 49.44/32.38 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 49.44/32.38 tff(17019,plain,
% 49.44/32.38 (v90(constB132, 2) | (~v100(constB132))),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[17018, 1358, 17012])).
% 49.44/32.38 tff(17020,plain,
% 49.44/32.38 (v90(constB132, 2)),
% 49.44/32.38 inference(unit_resolution,[status(thm)],[17019, 16998])).
% 49.44/32.38 tff(17021,plain,
% 49.44/32.38 ((~v1(constB133)) <=> (~v1(constB133))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17022,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 49.44/32.38 tff(17023,plain,
% 49.44/32.38 (~v1(constB133)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 49.44/32.38 tff(17024,plain,
% 49.44/32.38 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17025,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 49.44/32.38 tff(17026,plain,
% 49.44/32.38 (nextState(constB132, constB133)),
% 49.44/32.38 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 49.44/32.38 tff(17027,plain,
% 49.44/32.38 (((~![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)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17028,plain,
% 49.44/32.38 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 49.44/32.38 inference(rewrite,[status(thm)],[])).
% 49.44/32.38 tff(17029,plain,
% 49.44/32.38 (((~![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))))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17028])).
% 49.44/32.39 tff(17030,plain,
% 49.44/32.39 (((~![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)))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17029, 17027])).
% 49.44/32.39 tff(17031,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17032,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 49.44/32.39 tff(17033,plain,
% 49.44/32.39 (~v101(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17032, 90, 17026, 17023])).
% 49.44/32.39 tff(17034,plain,
% 49.44/32.39 (((~![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)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17035,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17036,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 49.44/32.39 tff(17037,plain,
% 49.44/32.39 (v101(constB133) | (~v100(constB133))),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17036, 107, 17026])).
% 49.44/32.39 tff(17038,plain,
% 49.44/32.39 (~v100(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17037, 17033])).
% 49.44/32.39 tff(17039,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17040,plain,
% 49.44/32.39 (((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)) <=> ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17041,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17040])).
% 49.44/32.39 tff(17042,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17041, 17039])).
% 49.44/32.39 tff(17043,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17044,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17043, 17042])).
% 49.44/32.39 tff(17045,plain,
% 49.44/32.39 ((~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17044, 1394, 17026])).
% 49.44/32.39 tff(17046,plain,
% 49.44/32.39 ((~v90(constB132, 2)) | v90(constB133, 2)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17045, 17038])).
% 49.44/32.39 tff(17047,plain,
% 49.44/32.39 (v90(constB133, 2)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17046, 17020])).
% 49.44/32.39 tff(17048,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17049,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17050,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17049, 17048])).
% 49.44/32.39 tff(17051,plain,
% 49.44/32.39 (~v122(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17050, 2039, 17047])).
% 49.44/32.39 tff(17052,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17053,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17054,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17053, 17052])).
% 49.44/32.39 tff(17055,plain,
% 49.44/32.39 (v130(constB131, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17054, 1871, 16934])).
% 49.44/32.39 tff(17056,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17057,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17058,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17057, 17056])).
% 49.44/32.39 tff(17059,plain,
% 49.44/32.39 ((~v130(constB131, 1)) | v127(constB131, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17058, 852, 16946])).
% 49.44/32.39 tff(17060,plain,
% 49.44/32.39 (v127(constB131, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17059, 17055])).
% 49.44/32.39 tff(17061,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17062,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17063,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17062, 17061])).
% 49.44/32.39 tff(17064,plain,
% 49.44/32.39 ((~v127(constB131, 1)) | v129(constB132, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17063, 867, 16964])).
% 49.44/32.39 tff(17065,plain,
% 49.44/32.39 (v129(constB132, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17064, 17060])).
% 49.44/32.39 tff(17066,plain,
% 49.44/32.39 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17067,plain,
% 49.44/32.39 ((v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1))) <=> (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17068,plain,
% 49.44/32.39 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17067])).
% 49.44/32.39 tff(17069,plain,
% 49.44/32.39 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17068, 17066])).
% 49.44/32.39 tff(17070,plain,
% 49.44/32.39 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17071,plain,
% 49.44/32.39 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17070, 17069])).
% 49.44/32.39 tff(17072,plain,
% 49.44/32.39 (v90(constB132, 1) | (~v100(constB132))),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17071, 882, 17065])).
% 49.44/32.39 tff(17073,plain,
% 49.44/32.39 (v90(constB132, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17072, 16998])).
% 49.44/32.39 tff(17074,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17075,plain,
% 49.44/32.39 (((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)) <=> ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17076,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17075])).
% 49.44/32.39 tff(17077,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17076, 17074])).
% 49.44/32.39 tff(17078,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17079,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17078, 17077])).
% 49.44/32.39 tff(17080,plain,
% 49.44/32.39 ((~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17079, 900, 17026])).
% 49.44/32.39 tff(17081,plain,
% 49.44/32.39 ((~v90(constB132, 1)) | v90(constB133, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17080, 17038])).
% 49.44/32.39 tff(17082,plain,
% 49.44/32.39 (v90(constB133, 1)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17081, 17073])).
% 49.44/32.39 tff(17083,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17084,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17085,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 49.44/32.39 tff(17086,plain,
% 49.44/32.39 (~v119(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17085, 2050, 17082])).
% 49.44/32.39 tff(17087,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17088,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17089,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 49.44/32.39 tff(17090,plain,
% 49.44/32.39 (~v120(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17089, 2061, 17082])).
% 49.44/32.39 tff(17091,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17092,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17093,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17092, 17091])).
% 49.44/32.39 tff(17094,plain,
% 49.44/32.39 (~v124(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17093, 2083, 17082])).
% 49.44/32.39 tff(17095,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17096,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17097,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17096, 17095])).
% 49.44/32.39 tff(17098,plain,
% 49.44/32.39 (~v123(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17097, 2072, 17082])).
% 49.44/32.39 tff(17099,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17100,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17101,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 49.44/32.39 tff(17102,plain,
% 49.44/32.39 (~v121(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17101, 2028, 17047])).
% 49.44/32.39 tff(17103,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17104,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17105,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 49.44/32.39 tff(17106,plain,
% 49.44/32.39 (~v130(constB133, 2)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17105, 2097, 17102, 17098, 17094, 17090, 17086, 17051])).
% 49.44/32.39 tff(17107,assumption,(v26(constB133)), introduced(assumption)).
% 49.44/32.39 tff(17108,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17109,plain,
% 49.44/32.39 ($false),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17108, 43, 17107])).
% 49.44/32.39 tff(17110,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 49.44/32.39 tff(17111,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17112,plain,
% 49.44/32.39 ((v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2))) <=> ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17113,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17112])).
% 49.44/32.39 tff(17114,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17113, 17111])).
% 49.44/32.39 tff(17115,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17116,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17115, 17114])).
% 49.44/32.39 tff(17117,plain,
% 49.44/32.39 ((~v127(constB133, 2)) | v130(constB133, 2)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17116, 593, 17110])).
% 49.44/32.39 tff(17118,plain,
% 49.44/32.39 (~v127(constB133, 2)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17117, 17106])).
% 49.44/32.39 tff(17119,plain,
% 49.44/32.39 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17120,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 49.44/32.39 tff(17121,plain,
% 49.44/32.39 (nextState(constB133, constB134)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 49.44/32.39 tff(17122,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17123,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17124,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17123, 17122])).
% 49.44/32.39 tff(17125,plain,
% 49.44/32.39 (v127(constB133, 2) | (~v129(constB134, 2))),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17124, 611, 17121])).
% 49.44/32.39 tff(17126,plain,
% 49.44/32.39 (~v129(constB134, 2)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17125, 17118])).
% 49.44/32.39 tff(17127,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17128,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17129,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 49.44/32.39 tff(17130,plain,
% 49.44/32.39 (~v130(constB131, 0)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17129, 1909, 16934])).
% 49.44/32.39 tff(17131,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17132,plain,
% 49.44/32.39 ((v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0))) <=> ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17133,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17132])).
% 49.44/32.39 tff(17134,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17133, 17131])).
% 49.44/32.39 tff(17135,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17136,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17135, 17134])).
% 49.44/32.39 tff(17137,plain,
% 49.44/32.39 ((~v127(constB131, 0)) | v130(constB131, 0)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17136, 930, 16946])).
% 49.44/32.39 tff(17138,plain,
% 49.44/32.39 (~v127(constB131, 0)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17137, 17130])).
% 49.44/32.39 tff(17139,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17140,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17141,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17140, 17139])).
% 49.44/32.39 tff(17142,plain,
% 49.44/32.39 (v127(constB131, 0) | (~v129(constB132, 0))),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17141, 948, 16964])).
% 49.44/32.39 tff(17143,plain,
% 49.44/32.39 (~v129(constB132, 0)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17142, 17138])).
% 49.44/32.39 tff(17144,plain,
% 49.44/32.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17145,plain,
% 49.44/32.39 (((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0)) <=> ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17146,plain,
% 49.44/32.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17145])).
% 49.44/32.39 tff(17147,plain,
% 49.44/32.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17146, 17144])).
% 49.44/32.39 tff(17148,plain,
% 49.44/32.39 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17149,plain,
% 49.44/32.39 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17148, 17147])).
% 49.44/32.39 tff(17150,plain,
% 49.44/32.39 ((~v90(constB132, 0)) | (~v100(constB132))),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17149, 963, 17143])).
% 49.44/32.39 tff(17151,plain,
% 49.44/32.39 (~v90(constB132, 0)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17150, 16998])).
% 49.44/32.39 tff(17152,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17153,plain,
% 49.44/32.39 (((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))) <=> (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17154,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17153])).
% 49.44/32.39 tff(17155,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17154, 17152])).
% 49.44/32.39 tff(17156,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17157,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 49.44/32.39 tff(17158,plain,
% 49.44/32.39 (v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17157, 164, 17026])).
% 49.44/32.39 tff(17159,plain,
% 49.44/32.39 (v90(constB132, 0) | (~v90(constB133, 0))),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17158, 17038])).
% 49.44/32.39 tff(17160,plain,
% 49.44/32.39 (~v90(constB133, 0)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17159, 17151])).
% 49.44/32.39 tff(17161,assumption,(~v113(constB133)), introduced(assumption)).
% 49.44/32.39 tff(17162,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v125(constB133)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17163,plain,
% 49.44/32.39 (((~v125(constB133)) | v113(constB133)) <=> (v113(constB133) | (~v125(constB133)))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17164,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v125(constB133))))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17163])).
% 49.44/32.39 tff(17165,plain,
% 49.44/32.39 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133)))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17164, 17162])).
% 49.44/32.39 tff(17166,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17167,plain,
% 49.44/32.39 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133))),
% 49.44/32.39 inference(modus_ponens,[status(thm)],[17166, 17165])).
% 49.44/32.39 tff(17168,plain,
% 49.44/32.39 (~v125(constB133)),
% 49.44/32.39 inference(unit_resolution,[status(thm)],[17167, 1964, 17161])).
% 49.44/32.39 tff(17169,assumption,(~v90(constB133, 0)), introduced(assumption)).
% 49.44/32.39 tff(17170,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17171,plain,
% 49.44/32.39 (((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0)) <=> ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 49.44/32.39 inference(rewrite,[status(thm)],[])).
% 49.44/32.39 tff(17172,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0)))),
% 49.44/32.39 inference(monotonicity,[status(thm)],[17171])).
% 49.44/32.39 tff(17173,plain,
% 49.44/32.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 49.44/32.39 inference(transitivity,[status(thm)],[17172, 17170])).
% 49.44/32.39 tff(17174,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))),
% 49.44/32.39 inference(quant_inst,[status(thm)],[])).
% 49.44/32.39 tff(17175,plain,
% 49.44/32.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0)),
% 49.44/32.40 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 49.44/32.40 tff(17176,plain,
% 49.44/32.40 ((~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[17175, 563, 17026])).
% 49.44/32.40 tff(17177,plain,
% 49.44/32.40 ((~v90(constB132, 0)) | v90(constB133, 0)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[17176, 17038])).
% 49.44/32.40 tff(17178,plain,
% 49.44/32.40 (~v90(constB132, 0)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[17177, 17169])).
% 49.44/32.40 tff(17179,assumption,(~v100(constB132)), introduced(assumption)).
% 49.44/32.40 tff(17180,plain,
% 49.44/32.40 (~v110(constB132)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[16997, 17179])).
% 49.44/32.40 tff(17181,plain,
% 49.44/32.40 (~v108(constB131)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[16971, 17180])).
% 49.44/32.40 tff(17182,plain,
% 49.44/32.40 (~v112(constB131)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[16960, 292, 17181])).
% 49.44/32.40 tff(17183,plain,
% 49.44/32.40 (~v113(constB131)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[16953, 17182])).
% 49.44/32.40 tff(17184,plain,
% 49.44/32.40 (~v114(constB131)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[16941, 266, 17183])).
% 49.44/32.40 tff(17185,plain,
% 49.44/32.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB131)) | v114(constB131))),
% 49.44/32.40 inference(rewrite,[status(thm)],[])).
% 49.44/32.40 tff(17186,plain,
% 49.44/32.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))),
% 49.44/32.40 inference(quant_inst,[status(thm)],[])).
% 49.44/32.40 tff(17187,plain,
% 49.44/32.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB131)) | v114(constB131)),
% 49.44/32.40 inference(modus_ponens,[status(thm)],[17186, 17185])).
% 49.44/32.40 tff(17188,plain,
% 49.44/32.40 (~v115(constB131)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[17187, 252, 17184])).
% 49.44/32.40 tff(17189,plain,
% 49.44/32.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB131)) | v115(constB131))),
% 49.44/32.40 inference(rewrite,[status(thm)],[])).
% 49.44/32.40 tff(17190,plain,
% 49.44/32.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))),
% 49.44/32.40 inference(quant_inst,[status(thm)],[])).
% 49.44/32.40 tff(17191,plain,
% 49.44/32.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB131)) | v115(constB131)),
% 49.44/32.40 inference(modus_ponens,[status(thm)],[17190, 17189])).
% 49.44/32.40 tff(17192,plain,
% 49.44/32.40 (~v123(constB131)),
% 49.44/32.40 inference(unit_resolution,[status(thm)],[17191, 1506, 17188])).
% 49.44/32.40 tff(17193,plain,
% 49.44/32.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131)))),
% 49.44/32.40 inference(rewrite,[status(thm)],[])).
% 49.44/32.40 tff(17194,plain,
% 49.44/32.40 (((~v116(constB131)) | v115(constB131)) <=> (v115(constB131) | (~v116(constB131)))),
% 49.44/32.40 inference(rewrite,[status(thm)],[])).
% 49.44/32.40 tff(17195,plain,
% 49.44/32.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v116(constB131))))),
% 49.44/32.40 inference(monotonicity,[status(thm)],[17194])).
% 49.44/32.40 tff(17196,plain,
% 49.44/32.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131)))),
% 49.44/32.40 inference(transitivity,[status(thm)],[17195, 17193])).
% 49.44/32.40 tff(17197,plain,
% 49.44/32.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))),
% 49.44/32.40 inference(quant_inst,[status(thm)],[])).
% 49.44/32.40 tff(17198,plain,
% 49.44/32.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131))),
% 49.44/32.40 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 49.47/32.40 tff(17199,plain,
% 49.47/32.40 (~v116(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17198, 238, 17188])).
% 49.47/32.40 tff(17200,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17201,plain,
% 49.47/32.40 (((~v117(constB131)) | v116(constB131)) <=> (v116(constB131) | (~v117(constB131)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17202,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131))))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17201])).
% 49.47/32.40 tff(17203,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17202, 17200])).
% 49.47/32.40 tff(17204,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17205,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 49.47/32.40 tff(17206,plain,
% 49.47/32.40 (~v117(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17205, 224, 17199])).
% 49.47/32.40 tff(17207,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB131)) | v117(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17208,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB131)) | v117(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17209,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB131)) | v117(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17208, 17207])).
% 49.47/32.40 tff(17210,plain,
% 49.47/32.40 (~v121(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17209, 1001, 17206])).
% 49.47/32.40 tff(17211,assumption,(~v90(constB132, 0)), introduced(assumption)).
% 49.47/32.40 tff(17212,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17213,plain,
% 49.47/32.40 (((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0)) <=> ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17214,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0)))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17213])).
% 49.47/32.40 tff(17215,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17214, 17212])).
% 49.47/32.40 tff(17216,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17217,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 49.47/32.40 tff(17218,plain,
% 49.47/32.40 ((~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17217, 563, 16964])).
% 49.47/32.40 tff(17219,plain,
% 49.47/32.40 (~v90(constB131, 0)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17218, 17179, 17211])).
% 49.47/32.40 tff(17220,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB131)) | v117(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17221,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17222,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB131)) | v117(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17221, 17220])).
% 49.47/32.40 tff(17223,plain,
% 49.47/32.40 (~v118(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17222, 210, 17206])).
% 49.47/32.40 tff(17224,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB131)) | v118(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17225,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB131)) | v118(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17226,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB131)) | v118(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 49.47/32.40 tff(17227,plain,
% 49.47/32.40 (~v119(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17226, 199, 17223])).
% 49.47/32.40 tff(17228,assumption,(~v119(constB131)), introduced(assumption)).
% 49.47/32.40 tff(17229,assumption,(~v90(constB131, 2)), introduced(assumption)).
% 49.47/32.40 tff(17230,assumption,(~v121(constB131)), introduced(assumption)).
% 49.47/32.40 tff(17231,assumption,(~v90(constB131, 0)), introduced(assumption)).
% 49.47/32.40 tff(17232,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17233,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17234,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17233, 17232])).
% 49.47/32.40 tff(17235,plain,
% 49.47/32.40 ((~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17234, 990, 17231])).
% 49.47/32.40 tff(17236,plain,
% 49.47/32.40 (~v90(constB131, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17235, 17229, 17230])).
% 49.47/32.40 tff(17237,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17238,plain,
% 49.47/32.40 ((v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2)) <=> (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17239,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131)))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17238])).
% 49.47/32.40 tff(17240,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17239, 17237])).
% 49.47/32.40 tff(17241,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17242,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17241, 17240])).
% 49.47/32.40 tff(17243,plain,
% 49.47/32.40 (v90(constB131, 1) | v90(constB131, 2) | v119(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17242, 185, 17231])).
% 49.47/32.40 tff(17244,plain,
% 49.47/32.40 ($false),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17243, 17236, 17229, 17228])).
% 49.47/32.40 tff(17245,plain,(v90(constB131, 2) | v119(constB131) | v90(constB131, 0) | v121(constB131)), inference(lemma,lemma(discharge,[]))).
% 49.47/32.40 tff(17246,plain,
% 49.47/32.40 (v90(constB131, 2)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17245, 17227, 17219, 17210])).
% 49.47/32.40 tff(17247,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB131)) | v113(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17248,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB131)) | v113(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17249,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB131)) | v113(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17248, 17247])).
% 49.47/32.40 tff(17250,plain,
% 49.47/32.40 (~v125(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17249, 1964, 17183])).
% 49.47/32.40 tff(17251,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17252,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17253,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17252, 17251])).
% 49.47/32.40 tff(17254,plain,
% 49.47/32.40 ((~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17253, 1953, 17219])).
% 49.47/32.40 tff(17255,plain,
% 49.47/32.40 (~v90(constB131, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17254, 17246, 17250])).
% 49.47/32.40 tff(17256,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17257,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17258,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17257, 17256])).
% 49.47/32.40 tff(17259,plain,
% 49.47/32.40 (v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17258, 1495, 17219])).
% 49.47/32.40 tff(17260,plain,
% 49.47/32.40 ($false),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17259, 17255, 17246, 17192])).
% 49.47/32.40 tff(17261,plain,(v100(constB132) | v90(constB132, 0)), inference(lemma,lemma(discharge,[]))).
% 49.47/32.40 tff(17262,plain,
% 49.47/32.40 (v100(constB132)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17261, 17178])).
% 49.47/32.40 tff(17263,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17264,plain,
% 49.47/32.40 (((~v114(constB133)) | v113(constB133)) <=> (v113(constB133) | (~v114(constB133)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17265,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133))))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17264])).
% 49.47/32.40 tff(17266,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17265, 17263])).
% 49.47/32.40 tff(17267,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17268,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 49.47/32.40 tff(17269,plain,
% 49.47/32.40 (~v114(constB133)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17268, 266, 17161])).
% 49.47/32.40 tff(17270,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17271,plain,
% 49.47/32.40 (((~v115(constB133)) | v114(constB133)) <=> (v114(constB133) | (~v115(constB133)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17272,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133))))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17271])).
% 49.47/32.40 tff(17273,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17272, 17270])).
% 49.47/32.40 tff(17274,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17275,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 49.47/32.40 tff(17276,plain,
% 49.47/32.40 (~v115(constB133)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17275, 252, 17269])).
% 49.47/32.40 tff(17277,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17278,plain,
% 49.47/32.40 (((~v123(constB133)) | v115(constB133)) <=> (v115(constB133) | (~v123(constB133)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17279,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133))))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17278])).
% 49.47/32.40 tff(17280,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17279, 17277])).
% 49.47/32.40 tff(17281,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17282,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 49.47/32.40 tff(17283,plain,
% 49.47/32.40 (~v123(constB133)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17282, 1506, 17276])).
% 49.47/32.40 tff(17284,assumption,(~v123(constB133)), introduced(assumption)).
% 49.47/32.40 tff(17285,assumption,(v122(constB131)), introduced(assumption)).
% 49.47/32.40 tff(17286,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB131)) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB131)) | (~v130(constB131, 1)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17287,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB131)) | (~v130(constB131, 1)))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17288,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB131)) | (~v130(constB131, 1))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 49.47/32.40 tff(17289,plain,
% 49.47/32.40 (~v130(constB131, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17288, 1410, 17285])).
% 49.47/32.40 tff(17290,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17291,plain,
% 49.47/32.40 ((v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1))) <=> ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17292,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1)))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17291])).
% 49.47/32.40 tff(17293,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17292, 17290])).
% 49.47/32.40 tff(17294,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17295,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17294, 17293])).
% 49.47/32.40 tff(17296,plain,
% 49.47/32.40 ((~v127(constB131, 1)) | v130(constB131, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17295, 408, 16946])).
% 49.47/32.40 tff(17297,plain,
% 49.47/32.40 (~v127(constB131, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17296, 17289])).
% 49.47/32.40 tff(17298,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17299,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17300,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 49.47/32.40 tff(17301,plain,
% 49.47/32.40 (v127(constB131, 1) | (~v129(constB132, 1))),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17300, 438, 16964])).
% 49.47/32.40 tff(17302,plain,
% 49.47/32.40 (~v129(constB132, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17301, 17297])).
% 49.47/32.40 tff(17303,assumption,(v100(constB132)), introduced(assumption)).
% 49.47/32.40 tff(17304,plain,
% 49.47/32.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17305,plain,
% 49.47/32.40 (((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1)) <=> ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17306,plain,
% 49.47/32.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132))))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17305])).
% 49.47/32.40 tff(17307,plain,
% 49.47/32.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17306, 17304])).
% 49.47/32.40 tff(17308,plain,
% 49.47/32.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17309,plain,
% 49.47/32.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17308, 17307])).
% 49.47/32.40 tff(17310,plain,
% 49.47/32.40 ((~v90(constB132, 1)) | v129(constB132, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17309, 453, 17303])).
% 49.47/32.40 tff(17311,plain,
% 49.47/32.40 (~v90(constB132, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17310, 17302])).
% 49.47/32.40 tff(17312,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17313,plain,
% 49.47/32.40 (((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1))) <=> (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17314,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1))))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17313])).
% 49.47/32.40 tff(17315,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17314, 17312])).
% 49.47/32.40 tff(17316,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17317,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 49.47/32.40 tff(17318,plain,
% 49.47/32.40 (v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1))),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17317, 143, 17026])).
% 49.47/32.40 tff(17319,plain,
% 49.47/32.40 (v90(constB132, 1) | (~v90(constB133, 1))),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17318, 17038])).
% 49.47/32.40 tff(17320,plain,
% 49.47/32.40 (~v90(constB133, 1)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17319, 17311])).
% 49.47/32.40 tff(17321,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB131)) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB131)) | v130(constB131, 2))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17322,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB131)) | v130(constB131, 2))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17323,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB131)) | v130(constB131, 2)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17322, 17321])).
% 49.47/32.40 tff(17324,plain,
% 49.47/32.40 (v130(constB131, 2)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17323, 1314, 17285])).
% 49.47/32.40 tff(17325,plain,
% 49.47/32.40 (v127(constB131, 2)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17006, 17324])).
% 49.47/32.40 tff(17326,plain,
% 49.47/32.40 (v129(constB132, 2)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17011, 17325])).
% 49.47/32.40 tff(17327,plain,
% 49.47/32.40 (v90(constB132, 2) | (~v129(constB132, 2))),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17018, 1358, 17303])).
% 49.47/32.40 tff(17328,plain,
% 49.47/32.40 (v90(constB132, 2)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17327, 17326])).
% 49.47/32.40 tff(17329,plain,
% 49.47/32.40 (v90(constB133, 2)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17046, 17328])).
% 49.47/32.40 tff(17330,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17331,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17332,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17331, 17330])).
% 49.47/32.40 tff(17333,plain,
% 49.47/32.40 (v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17332, 1495, 17169])).
% 49.47/32.40 tff(17334,plain,
% 49.47/32.40 ($false),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17333, 17329, 17320, 17284])).
% 49.47/32.40 tff(17335,plain,((~v122(constB131)) | v123(constB133) | v90(constB133, 0) | (~v100(constB132))), inference(lemma,lemma(discharge,[]))).
% 49.47/32.40 tff(17336,plain,
% 49.47/32.40 (~v122(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17335, 17283, 17169, 17262])).
% 49.47/32.40 tff(17337,plain,
% 49.47/32.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17338,plain,
% 49.47/32.40 ((v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0))) <=> (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17339,plain,
% 49.47/32.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132))))),
% 49.47/32.40 inference(monotonicity,[status(thm)],[17338])).
% 49.47/32.40 tff(17340,plain,
% 49.47/32.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 49.47/32.40 inference(transitivity,[status(thm)],[17339, 17337])).
% 49.47/32.40 tff(17341,plain,
% 49.47/32.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17342,plain,
% 49.47/32.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132))),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17341, 17340])).
% 49.47/32.40 tff(17343,plain,
% 49.47/32.40 (~v129(constB132, 0)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17342, 545, 17262, 17178])).
% 49.47/32.40 tff(17344,plain,
% 49.47/32.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17345,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17346,plain,
% 49.47/32.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 49.47/32.40 tff(17347,plain,
% 49.47/32.40 ((~v127(constB131, 0)) | v129(constB132, 0)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17346, 530, 16964])).
% 49.47/32.40 tff(17348,plain,
% 49.47/32.40 (~v127(constB131, 0)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17347, 17343])).
% 49.47/32.40 tff(17349,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17350,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17351,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 49.47/32.40 tff(17352,plain,
% 49.47/32.40 ((~v130(constB131, 0)) | v127(constB131, 0)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17351, 515, 16946])).
% 49.47/32.40 tff(17353,plain,
% 49.47/32.40 (~v130(constB131, 0)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17352, 17348])).
% 49.47/32.40 tff(17354,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB131)) | v130(constB131, 0))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17355,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB131)) | v130(constB131, 0))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17356,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB131)) | v130(constB131, 0)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17355, 17354])).
% 49.47/32.40 tff(17357,plain,
% 49.47/32.40 (~v121(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17356, 1184, 17353])).
% 49.47/32.40 tff(17358,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB131)) | v130(constB131, 0))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17359,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB131)) | v130(constB131, 0))),
% 49.47/32.40 inference(quant_inst,[status(thm)],[])).
% 49.47/32.40 tff(17360,plain,
% 49.47/32.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB131)) | v130(constB131, 0)),
% 49.47/32.40 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 49.47/32.40 tff(17361,plain,
% 49.47/32.40 (~v123(constB131)),
% 49.47/32.40 inference(unit_resolution,[status(thm)],[17360, 1677, 17353])).
% 49.47/32.40 tff(17362,plain,
% 49.47/32.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB131)) | v130(constB131, 0))),
% 49.47/32.40 inference(rewrite,[status(thm)],[])).
% 49.47/32.40 tff(17363,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB131)) | v130(constB131, 0))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17364,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB131)) | v130(constB131, 0)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17363, 17362])).
% 49.47/32.41 tff(17365,plain,
% 49.47/32.41 (~v119(constB131)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17364, 501, 17353])).
% 49.47/32.41 tff(17366,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v116(constB133)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17367,plain,
% 49.47/32.41 (((~v116(constB133)) | v115(constB133)) <=> (v115(constB133) | (~v116(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17368,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v116(constB133))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17367])).
% 49.47/32.41 tff(17369,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17368, 17366])).
% 49.47/32.41 tff(17370,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17371,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 49.47/32.41 tff(17372,plain,
% 49.47/32.41 (~v116(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17371, 238, 17276])).
% 49.47/32.41 tff(17373,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v117(constB133)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17374,plain,
% 49.47/32.41 (((~v117(constB133)) | v116(constB133)) <=> (v116(constB133) | (~v117(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17375,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v117(constB133))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17374])).
% 49.47/32.41 tff(17376,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17375, 17373])).
% 49.47/32.41 tff(17377,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17378,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 49.47/32.41 tff(17379,plain,
% 49.47/32.41 (~v117(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17378, 224, 17372])).
% 49.47/32.41 tff(17380,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v121(constB133)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17381,plain,
% 49.47/32.41 (((~v121(constB133)) | v117(constB133)) <=> (v117(constB133) | (~v121(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17382,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v121(constB133))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17381])).
% 49.47/32.41 tff(17383,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17382, 17380])).
% 49.47/32.41 tff(17384,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17385,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 49.47/32.41 tff(17386,plain,
% 49.47/32.41 (~v121(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17385, 1001, 17379])).
% 49.47/32.41 tff(17387,assumption,(~v121(constB133)), introduced(assumption)).
% 49.47/32.41 tff(17388,assumption,(v120(constB131)), introduced(assumption)).
% 49.47/32.41 tff(17389,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB131)) | v130(constB131, 1))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17390,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB131)) | v130(constB131, 1))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17391,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB131)) | v130(constB131, 1)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17390, 17389])).
% 49.47/32.41 tff(17392,plain,
% 49.47/32.41 (v130(constB131, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17391, 838, 17388])).
% 49.47/32.41 tff(17393,plain,
% 49.47/32.41 (v127(constB131, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17059, 17392])).
% 49.47/32.41 tff(17394,plain,
% 49.47/32.41 (v129(constB132, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17064, 17393])).
% 49.47/32.41 tff(17395,plain,
% 49.47/32.41 (v90(constB132, 1) | (~v129(constB132, 1))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17071, 882, 17303])).
% 49.47/32.41 tff(17396,plain,
% 49.47/32.41 (v90(constB132, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17395, 17394])).
% 49.47/32.41 tff(17397,plain,
% 49.47/32.41 (v90(constB133, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17081, 17396])).
% 49.47/32.41 tff(17398,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB131)) | (~v130(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB131)) | (~v130(constB131, 2)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17399,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB131)) | (~v130(constB131, 2)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17400,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB131)) | (~v130(constB131, 2))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 49.47/32.41 tff(17401,plain,
% 49.47/32.41 (~v130(constB131, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17400, 767, 17388])).
% 49.47/32.41 tff(17402,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17403,plain,
% 49.47/32.41 ((v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2))) <=> ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17404,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2)))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17403])).
% 49.47/32.41 tff(17405,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17404, 17402])).
% 49.47/32.41 tff(17406,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17407,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17406, 17405])).
% 49.47/32.41 tff(17408,plain,
% 49.47/32.41 ((~v127(constB131, 2)) | v130(constB131, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17407, 593, 16946])).
% 49.47/32.41 tff(17409,plain,
% 49.47/32.41 (~v127(constB131, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17408, 17401])).
% 49.47/32.41 tff(17410,plain,
% 49.47/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17411,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17412,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 49.47/32.41 tff(17413,plain,
% 49.47/32.41 (v127(constB131, 2) | (~v129(constB132, 2))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17412, 611, 16964])).
% 49.47/32.41 tff(17414,plain,
% 49.47/32.41 (~v129(constB132, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17413, 17409])).
% 49.47/32.41 tff(17415,plain,
% 49.47/32.41 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17416,plain,
% 49.47/32.41 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17417,plain,
% 49.47/32.41 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17416, 17415])).
% 49.47/32.41 tff(17418,plain,
% 49.47/32.41 ((~v90(constB132, 2)) | v129(constB132, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17417, 626, 17303])).
% 49.47/32.41 tff(17419,plain,
% 49.47/32.41 (~v90(constB132, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17418, 17414])).
% 49.47/32.41 tff(17420,plain,
% 49.47/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17421,plain,
% 49.47/32.41 (((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2))) <=> (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17422,plain,
% 49.47/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17421])).
% 49.47/32.41 tff(17423,plain,
% 49.47/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17422, 17420])).
% 49.47/32.41 tff(17424,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17425,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 49.47/32.41 tff(17426,plain,
% 49.47/32.41 (v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17425, 122, 17026])).
% 49.47/32.41 tff(17427,plain,
% 49.47/32.41 (v90(constB132, 2) | (~v90(constB133, 2))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17426, 17038])).
% 49.47/32.41 tff(17428,plain,
% 49.47/32.41 (~v90(constB133, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17427, 17419])).
% 49.47/32.41 tff(17429,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17430,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17431,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 49.47/32.41 tff(17432,plain,
% 49.47/32.41 ((~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17431, 990, 17169])).
% 49.47/32.41 tff(17433,plain,
% 49.47/32.41 ($false),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17432, 17428, 17397, 17387])).
% 49.47/32.41 tff(17434,plain,((~v120(constB131)) | v121(constB133) | v90(constB133, 0) | (~v100(constB132))), inference(lemma,lemma(discharge,[]))).
% 49.47/32.41 tff(17435,plain,
% 49.47/32.41 (~v120(constB131)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17434, 17386, 17262, 17169])).
% 49.47/32.41 tff(17436,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17437,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17438,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17437, 17436])).
% 49.47/32.41 tff(17439,plain,
% 49.47/32.41 (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17438, 2200, 17353])).
% 49.47/32.41 tff(17440,plain,
% 49.47/32.41 (v124(constB131)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17439, 17435, 17365, 17361, 17357, 17336])).
% 49.47/32.41 tff(17441,plain,
% 49.47/32.41 (v130(constB131, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17054, 1871, 17440])).
% 49.47/32.41 tff(17442,plain,
% 49.47/32.41 (v127(constB131, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17059, 17441])).
% 49.47/32.41 tff(17443,plain,
% 49.47/32.41 (v129(constB132, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17064, 17442])).
% 49.47/32.41 tff(17444,plain,
% 49.47/32.41 (v90(constB132, 1) | (~v129(constB132, 1))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17071, 882, 17262])).
% 49.47/32.41 tff(17445,plain,
% 49.47/32.41 (v90(constB132, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17444, 17443])).
% 49.47/32.41 tff(17446,plain,
% 49.47/32.41 (v90(constB133, 1)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17081, 17445])).
% 49.47/32.41 tff(17447,plain,
% 49.47/32.41 (v130(constB131, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17001, 1729, 17440])).
% 49.47/32.41 tff(17448,plain,
% 49.47/32.41 (v127(constB131, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17006, 17447])).
% 49.47/32.41 tff(17449,plain,
% 49.47/32.41 (v129(constB132, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17011, 17448])).
% 49.47/32.41 tff(17450,plain,
% 49.47/32.41 (v90(constB132, 2) | (~v129(constB132, 2))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17018, 1358, 17262])).
% 49.47/32.41 tff(17451,plain,
% 49.47/32.41 (v90(constB132, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17450, 17449])).
% 49.47/32.41 tff(17452,plain,
% 49.47/32.41 (v90(constB133, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17046, 17451])).
% 49.47/32.41 tff(17453,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17454,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17455,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17454, 17453])).
% 49.47/32.41 tff(17456,plain,
% 49.47/32.41 ((~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17455, 1953, 17169])).
% 49.47/32.41 tff(17457,plain,
% 49.47/32.41 ($false),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17456, 17452, 17446, 17168])).
% 49.47/32.41 tff(17458,plain,(v113(constB133) | v90(constB133, 0)), inference(lemma,lemma(discharge,[]))).
% 49.47/32.41 tff(17459,plain,
% 49.47/32.41 (v113(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17458, 17160])).
% 49.47/32.41 tff(17460,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17461,plain,
% 49.47/32.41 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17462,plain,
% 49.47/32.41 (((~![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) | v112(constB133) | (~v113(constB133))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17461])).
% 49.47/32.41 tff(17463,plain,
% 49.47/32.41 (((~![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) | v112(constB133) | (~v113(constB133)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17462, 17460])).
% 49.47/32.41 tff(17464,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17465,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17464, 17463])).
% 49.47/32.41 tff(17466,plain,
% 49.47/32.41 (v112(constB133) | (~v113(constB133))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17465, 280, 17110])).
% 49.47/32.41 tff(17467,plain,
% 49.47/32.41 (v112(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17466, 17459])).
% 49.47/32.41 tff(17468,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17469,plain,
% 49.47/32.41 (((~v112(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v112(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17470,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17469])).
% 49.47/32.41 tff(17471,plain,
% 49.47/32.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17470, 17468])).
% 49.47/32.41 tff(17472,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17473,plain,
% 49.47/32.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17472, 17471])).
% 49.47/32.41 tff(17474,plain,
% 49.47/32.41 (v108(constB133)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17473, 292, 17467])).
% 49.47/32.41 tff(17475,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17476,plain,
% 49.47/32.41 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17477,plain,
% 49.47/32.41 (((~![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))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17476])).
% 49.47/32.41 tff(17478,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17477, 17475])).
% 49.47/32.41 tff(17479,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17480,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 49.47/32.41 tff(17481,plain,
% 49.47/32.41 (v110(constB134) | (~v108(constB133))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17480, 312, 17121])).
% 49.47/32.41 tff(17482,plain,
% 49.47/32.41 (v110(constB134)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17481, 17474])).
% 49.47/32.41 tff(17483,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17484,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17485,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17484, 17483])).
% 49.47/32.41 tff(17486,plain,
% 49.47/32.41 (~v104(constB134)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17485, 330, 17121, 17023])).
% 49.47/32.41 tff(17487,plain,
% 49.47/32.41 (((~![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)) | v102(constB134) | v104(constB134))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17488,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17489,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17488, 17487])).
% 49.47/32.41 tff(17490,plain,
% 49.47/32.41 (v102(constB134) | v104(constB134)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17489, 344, 17121])).
% 49.47/32.41 tff(17491,plain,
% 49.47/32.41 (v102(constB134)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17490, 17486])).
% 49.47/32.41 tff(17492,plain,
% 49.47/32.41 (v1(constB134) <=> v1(constB134)),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17493,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 49.47/32.41 tff(17494,plain,
% 49.47/32.41 (v1(constB134)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17493, 17492])).
% 49.47/32.41 tff(17495,plain,
% 49.47/32.41 (((~![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)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17496,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17497,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 49.47/32.41 tff(17498,plain,
% 49.47/32.41 (v101(constB134) | (~v102(constB134))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17497, 362, 17121, 17494])).
% 49.47/32.41 tff(17499,plain,
% 49.47/32.41 (v101(constB134)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17498, 17491])).
% 49.47/32.41 tff(17500,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17501,plain,
% 49.47/32.41 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17502,plain,
% 49.47/32.41 (((~![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))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17501])).
% 49.47/32.41 tff(17503,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17502, 17500])).
% 49.47/32.41 tff(17504,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17505,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17504, 17503])).
% 49.47/32.41 tff(17506,plain,
% 49.47/32.41 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17505, 377, 17121])).
% 49.47/32.41 tff(17507,plain,
% 49.47/32.41 (v100(constB134) | (~v110(constB134))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17506, 17499])).
% 49.47/32.41 tff(17508,plain,
% 49.47/32.41 (v100(constB134)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17507, 17482])).
% 49.47/32.41 tff(17509,plain,
% 49.47/32.41 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17510,plain,
% 49.47/32.41 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17511,plain,
% 49.47/32.41 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 49.47/32.41 tff(17512,plain,
% 49.47/32.41 ((~v90(constB134, 2)) | v129(constB134, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17511, 626, 17508])).
% 49.47/32.41 tff(17513,plain,
% 49.47/32.41 (~v90(constB134, 2)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17512, 17126])).
% 49.47/32.41 tff(17514,plain,
% 49.47/32.41 ((~v1(constB135)) <=> (~v1(constB135))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17515,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 49.47/32.41 tff(17516,plain,
% 49.47/32.41 (~v1(constB135)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 49.47/32.41 tff(17517,plain,
% 49.47/32.41 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17518,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 49.47/32.41 tff(17519,plain,
% 49.47/32.41 (nextState(constB134, constB135)),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 49.47/32.41 tff(17520,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17521,plain,
% 49.47/32.41 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17522,plain,
% 49.47/32.41 (((~![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))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17521])).
% 49.47/32.41 tff(17523,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17522, 17520])).
% 49.47/32.41 tff(17524,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17525,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 49.47/32.41 tff(17526,plain,
% 49.47/32.41 (~v101(constB135)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17525, 90, 17519, 17516])).
% 49.47/32.41 tff(17527,plain,
% 49.47/32.41 (((~![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)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17528,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17529,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 49.47/32.41 tff(17530,plain,
% 49.47/32.41 (v101(constB135) | (~v100(constB135))),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17529, 107, 17519])).
% 49.47/32.41 tff(17531,plain,
% 49.47/32.41 (~v100(constB135)),
% 49.47/32.41 inference(unit_resolution,[status(thm)],[17530, 17526])).
% 49.47/32.41 tff(17532,plain,
% 49.47/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17533,plain,
% 49.47/32.41 (((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))) <=> (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 49.47/32.41 inference(rewrite,[status(thm)],[])).
% 49.47/32.41 tff(17534,plain,
% 49.47/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))))),
% 49.47/32.41 inference(monotonicity,[status(thm)],[17533])).
% 49.47/32.41 tff(17535,plain,
% 49.47/32.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 49.47/32.41 inference(transitivity,[status(thm)],[17534, 17532])).
% 49.47/32.41 tff(17536,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))),
% 49.47/32.41 inference(quant_inst,[status(thm)],[])).
% 49.47/32.41 tff(17537,plain,
% 49.47/32.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))),
% 49.47/32.41 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 49.47/32.41 tff(17538,plain,
% 49.47/32.41 (v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17537, 122, 17519])).
% 49.47/32.42 tff(17539,plain,
% 49.47/32.42 (v90(constB134, 2) | (~v90(constB135, 2))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17538, 17531])).
% 49.47/32.42 tff(17540,plain,
% 49.47/32.42 (~v90(constB135, 2)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17539, 17513])).
% 49.47/32.42 tff(17541,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17542,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17543,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17542, 17541])).
% 49.47/32.42 tff(17544,plain,
% 49.47/32.42 (~v130(constB133, 1)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17543, 2156, 17102, 17098, 17094, 17090, 17086, 17051])).
% 49.47/32.42 tff(17545,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17546,plain,
% 49.47/32.42 ((v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1))) <=> ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17547,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17546])).
% 49.47/32.42 tff(17548,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17547, 17545])).
% 49.47/32.42 tff(17549,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17550,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17549, 17548])).
% 49.47/32.42 tff(17551,plain,
% 49.47/32.42 ((~v127(constB133, 1)) | v130(constB133, 1)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17550, 408, 17110])).
% 49.47/32.42 tff(17552,plain,
% 49.47/32.42 (~v127(constB133, 1)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17551, 17544])).
% 49.47/32.42 tff(17553,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17554,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17555,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17554, 17553])).
% 49.47/32.42 tff(17556,plain,
% 49.47/32.42 (v127(constB133, 1) | (~v129(constB134, 1))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17555, 438, 17121])).
% 49.47/32.42 tff(17557,plain,
% 49.47/32.42 (~v129(constB134, 1)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17556, 17552])).
% 49.47/32.42 tff(17558,plain,
% 49.47/32.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17559,plain,
% 49.47/32.42 (((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1)) <=> ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17560,plain,
% 49.47/32.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17559])).
% 49.47/32.42 tff(17561,plain,
% 49.47/32.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17560, 17558])).
% 49.47/32.42 tff(17562,plain,
% 49.47/32.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17563,plain,
% 49.47/32.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 49.47/32.42 tff(17564,plain,
% 49.47/32.42 ((~v90(constB134, 1)) | v129(constB134, 1)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17563, 453, 17508])).
% 49.47/32.42 tff(17565,plain,
% 49.47/32.42 (~v90(constB134, 1)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17564, 17557])).
% 49.47/32.42 tff(17566,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17567,plain,
% 49.47/32.42 (((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))) <=> (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17568,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17567])).
% 49.47/32.42 tff(17569,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17568, 17566])).
% 49.47/32.42 tff(17570,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17571,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17570, 17569])).
% 49.47/32.42 tff(17572,plain,
% 49.47/32.42 (v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17571, 143, 17519])).
% 49.47/32.42 tff(17573,plain,
% 49.47/32.42 (v90(constB134, 1) | (~v90(constB135, 1))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17572, 17531])).
% 49.47/32.42 tff(17574,plain,
% 49.47/32.42 (~v90(constB135, 1)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17573, 17565])).
% 49.47/32.42 tff(17575,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17576,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17577,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17576, 17575])).
% 49.47/32.42 tff(17578,plain,
% 49.47/32.42 (v130(constB133, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17577, 2200, 17102, 17098, 17094, 17090, 17086, 17051])).
% 49.47/32.42 tff(17579,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17580,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17581,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17580, 17579])).
% 49.47/32.42 tff(17582,plain,
% 49.47/32.42 ((~v130(constB133, 0)) | v127(constB133, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17581, 515, 17110])).
% 49.47/32.42 tff(17583,plain,
% 49.47/32.42 (v127(constB133, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17582, 17578])).
% 49.47/32.42 tff(17584,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17585,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17586,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 49.47/32.42 tff(17587,plain,
% 49.47/32.42 ((~v127(constB133, 0)) | v129(constB134, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17586, 530, 17121])).
% 49.47/32.42 tff(17588,plain,
% 49.47/32.42 (v129(constB134, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17587, 17583])).
% 49.47/32.42 tff(17589,plain,
% 49.47/32.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17590,plain,
% 49.47/32.42 ((v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0))) <=> (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17591,plain,
% 49.47/32.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17590])).
% 49.47/32.42 tff(17592,plain,
% 49.47/32.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17591, 17589])).
% 49.47/32.42 tff(17593,plain,
% 49.47/32.42 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17594,plain,
% 49.47/32.42 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17593, 17592])).
% 49.47/32.42 tff(17595,plain,
% 49.47/32.42 (v90(constB134, 0) | (~v129(constB134, 0))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17594, 545, 17508])).
% 49.47/32.42 tff(17596,plain,
% 49.47/32.42 (v90(constB134, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17595, 17588])).
% 49.47/32.42 tff(17597,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17598,plain,
% 49.47/32.42 (((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)) <=> ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17599,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17598])).
% 49.47/32.42 tff(17600,plain,
% 49.47/32.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17599, 17597])).
% 49.47/32.42 tff(17601,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17602,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17601, 17600])).
% 49.47/32.42 tff(17603,plain,
% 49.47/32.42 ((~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17602, 563, 17519])).
% 49.47/32.42 tff(17604,plain,
% 49.47/32.42 ((~v90(constB134, 0)) | v90(constB135, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17603, 17531])).
% 49.47/32.42 tff(17605,plain,
% 49.47/32.42 (v90(constB135, 0)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17604, 17596])).
% 49.47/32.42 tff(17606,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17607,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17608,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17607, 17606])).
% 49.47/32.42 tff(17609,plain,
% 49.47/32.42 (v120(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17608, 651, 17605, 17574, 17540])).
% 49.47/32.42 tff(17610,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v120(constB135)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17611,plain,
% 49.47/32.42 (((~v120(constB135)) | v118(constB135)) <=> (v118(constB135) | (~v120(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17612,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v120(constB135))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17611])).
% 49.47/32.42 tff(17613,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17612, 17610])).
% 49.47/32.42 tff(17614,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17615,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 49.47/32.42 tff(17616,plain,
% 49.47/32.42 (v118(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17615, 665, 17609])).
% 49.47/32.42 tff(17617,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB135)) | v117(constB135))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17618,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17619,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB135)) | v117(constB135)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 49.47/32.42 tff(17620,plain,
% 49.47/32.42 (v117(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17619, 210, 17616])).
% 49.47/32.42 tff(17621,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17622,plain,
% 49.47/32.42 (((~v117(constB135)) | v116(constB135)) <=> (v116(constB135) | (~v117(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17623,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17622])).
% 49.47/32.42 tff(17624,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17623, 17621])).
% 49.47/32.42 tff(17625,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17626,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 49.47/32.42 tff(17627,plain,
% 49.47/32.42 (v116(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17626, 224, 17620])).
% 49.47/32.42 tff(17628,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17629,plain,
% 49.47/32.42 (((~v116(constB135)) | v115(constB135)) <=> (v115(constB135) | (~v116(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17630,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17629])).
% 49.47/32.42 tff(17631,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17630, 17628])).
% 49.47/32.42 tff(17632,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17633,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 49.47/32.42 tff(17634,plain,
% 49.47/32.42 (v115(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17633, 238, 17627])).
% 49.47/32.42 tff(17635,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB135)) | v114(constB135))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17636,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17637,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB135)) | v114(constB135)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17636, 17635])).
% 49.47/32.42 tff(17638,plain,
% 49.47/32.42 (v114(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17637, 252, 17634])).
% 49.47/32.42 tff(17639,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB135)) | v113(constB135))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17640,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17641,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB135)) | v113(constB135)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17640, 17639])).
% 49.47/32.42 tff(17642,plain,
% 49.47/32.42 (v113(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17641, 266, 17638])).
% 49.47/32.42 tff(17643,assumption,(v26(constB135)), introduced(assumption)).
% 49.47/32.42 tff(17644,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17645,plain,
% 49.47/32.42 ($false),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17644, 43, 17643])).
% 49.47/32.42 tff(17646,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 49.47/32.42 tff(17647,plain,
% 49.47/32.42 (((~![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) | (~v113(constB135)) | v112(constB135))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17648,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17649,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17648, 17647])).
% 49.47/32.42 tff(17650,plain,
% 49.47/32.42 ((~v113(constB135)) | v112(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17649, 280, 17646])).
% 49.47/32.42 tff(17651,plain,
% 49.47/32.42 (v112(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17650, 17642])).
% 49.47/32.42 tff(17652,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17653,plain,
% 49.47/32.42 (((~v112(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v112(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17654,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17653])).
% 49.47/32.42 tff(17655,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17654, 17652])).
% 49.47/32.42 tff(17656,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17657,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17656, 17655])).
% 49.47/32.42 tff(17658,plain,
% 49.47/32.42 (v108(constB135)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17657, 292, 17651])).
% 49.47/32.42 tff(17659,plain,
% 49.47/32.42 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17660,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 49.47/32.42 tff(17661,plain,
% 49.47/32.42 (nextState(constB135, constB136)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 49.47/32.42 tff(17662,plain,
% 49.47/32.42 (((~![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)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17663,plain,
% 49.47/32.42 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17664,plain,
% 49.47/32.42 (((~![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))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17663])).
% 49.47/32.42 tff(17665,plain,
% 49.47/32.42 (((~![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)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17664, 17662])).
% 49.47/32.42 tff(17666,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17667,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 49.47/32.42 tff(17668,plain,
% 49.47/32.42 (v110(constB136) | (~v108(constB135))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17667, 312, 17661])).
% 49.47/32.42 tff(17669,plain,
% 49.47/32.42 (v110(constB136)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17668, 17658])).
% 49.47/32.42 tff(17670,plain,
% 49.47/32.42 (((~![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)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17671,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17672,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17671, 17670])).
% 49.47/32.42 tff(17673,plain,
% 49.47/32.42 (~v104(constB136)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17672, 330, 17661, 17516])).
% 49.47/32.42 tff(17674,plain,
% 49.47/32.42 (((~![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)) | v102(constB136) | v104(constB136))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17675,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17676,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17675, 17674])).
% 49.47/32.42 tff(17677,plain,
% 49.47/32.42 (v102(constB136) | v104(constB136)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17676, 344, 17661])).
% 49.47/32.42 tff(17678,plain,
% 49.47/32.42 (v102(constB136)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17677, 17673])).
% 49.47/32.42 tff(17679,plain,
% 49.47/32.42 (v1(constB136) <=> v1(constB136)),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17680,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 49.47/32.42 tff(17681,plain,
% 49.47/32.42 (v1(constB136)),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17680, 17679])).
% 49.47/32.42 tff(17682,plain,
% 49.47/32.42 (((~![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)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17683,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17684,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 49.47/32.42 tff(17685,plain,
% 49.47/32.42 (v101(constB136) | (~v102(constB136))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17684, 362, 17661, 17681])).
% 49.47/32.42 tff(17686,plain,
% 49.47/32.42 (v101(constB136)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17685, 17678])).
% 49.47/32.42 tff(17687,plain,
% 49.47/32.42 (((~![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)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17688,plain,
% 49.47/32.42 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17689,plain,
% 49.47/32.42 (((~![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))))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17688])).
% 49.47/32.42 tff(17690,plain,
% 49.47/32.42 (((~![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)))),
% 49.47/32.42 inference(transitivity,[status(thm)],[17689, 17687])).
% 49.47/32.42 tff(17691,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17692,plain,
% 49.47/32.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17691, 17690])).
% 49.47/32.42 tff(17693,plain,
% 49.47/32.42 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17692, 377, 17661])).
% 49.47/32.42 tff(17694,plain,
% 49.47/32.42 (v100(constB136) | (~v110(constB136))),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17693, 17686])).
% 49.47/32.42 tff(17695,plain,
% 49.47/32.42 (v100(constB136)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17694, 17669])).
% 49.47/32.42 tff(17696,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2)))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17697,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))),
% 49.47/32.42 inference(quant_inst,[status(thm)],[])).
% 49.47/32.42 tff(17698,plain,
% 49.47/32.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2))),
% 49.47/32.42 inference(modus_ponens,[status(thm)],[17697, 17696])).
% 49.47/32.42 tff(17699,plain,
% 49.47/32.42 (~v130(constB135, 2)),
% 49.47/32.42 inference(unit_resolution,[status(thm)],[17698, 767, 17609])).
% 49.47/32.42 tff(17700,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17701,plain,
% 49.47/32.42 ((v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2))) <=> ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 49.47/32.42 inference(rewrite,[status(thm)],[])).
% 49.47/32.42 tff(17702,plain,
% 49.47/32.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)))),
% 49.47/32.42 inference(monotonicity,[status(thm)],[17701])).
% 49.47/32.42 tff(17703,plain,
% 49.47/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 49.47/32.43 inference(transitivity,[status(thm)],[17702, 17700])).
% 49.47/32.43 tff(17704,plain,
% 49.47/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))),
% 49.47/32.43 inference(quant_inst,[status(thm)],[])).
% 49.47/32.43 tff(17705,plain,
% 49.47/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)),
% 49.47/32.43 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 49.47/32.43 tff(17706,plain,
% 49.47/32.43 ((~v127(constB135, 2)) | v130(constB135, 2)),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17705, 593, 17646])).
% 49.47/32.43 tff(17707,plain,
% 49.47/32.43 (~v127(constB135, 2)),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17706, 17699])).
% 49.47/32.43 tff(17708,plain,
% 49.47/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17709,plain,
% 49.47/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 49.47/32.43 inference(quant_inst,[status(thm)],[])).
% 49.47/32.43 tff(17710,plain,
% 49.47/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2))),
% 49.47/32.43 inference(modus_ponens,[status(thm)],[17709, 17708])).
% 49.47/32.43 tff(17711,plain,
% 49.47/32.43 (v127(constB135, 2) | (~v129(constB136, 2))),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17710, 611, 17661])).
% 49.47/32.43 tff(17712,plain,
% 49.47/32.43 (~v129(constB136, 2)),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17711, 17707])).
% 49.47/32.43 tff(17713,plain,
% 49.47/32.43 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17714,plain,
% 49.47/32.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 49.47/32.43 inference(quant_inst,[status(thm)],[])).
% 49.47/32.43 tff(17715,plain,
% 49.47/32.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136))),
% 49.47/32.43 inference(modus_ponens,[status(thm)],[17714, 17713])).
% 49.47/32.43 tff(17716,plain,
% 49.47/32.43 ((~v90(constB136, 2)) | (~v100(constB136))),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17715, 626, 17712])).
% 49.47/32.43 tff(17717,plain,
% 49.47/32.43 (~v90(constB136, 2)),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17716, 17695])).
% 49.47/32.43 tff(17718,plain,
% 49.47/32.43 ((~v1(constB137)) <=> (~v1(constB137))),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17719,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 49.47/32.43 tff(17720,plain,
% 49.47/32.43 (~v1(constB137)),
% 49.47/32.43 inference(modus_ponens,[status(thm)],[17719, 17718])).
% 49.47/32.43 tff(17721,plain,
% 49.47/32.43 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17722,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 49.47/32.43 tff(17723,plain,
% 49.47/32.43 (nextState(constB136, constB137)),
% 49.47/32.43 inference(modus_ponens,[status(thm)],[17722, 17721])).
% 49.47/32.43 tff(17724,plain,
% 49.47/32.43 (((~![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)))),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17725,plain,
% 49.47/32.43 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17726,plain,
% 49.47/32.43 (((~![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))))),
% 49.47/32.43 inference(monotonicity,[status(thm)],[17725])).
% 49.47/32.43 tff(17727,plain,
% 49.47/32.43 (((~![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)))),
% 49.47/32.43 inference(transitivity,[status(thm)],[17726, 17724])).
% 49.47/32.43 tff(17728,plain,
% 49.47/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 49.47/32.43 inference(quant_inst,[status(thm)],[])).
% 49.47/32.43 tff(17729,plain,
% 49.47/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 49.47/32.43 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 49.47/32.43 tff(17730,plain,
% 49.47/32.43 (~v101(constB137)),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17729, 90, 17723, 17720])).
% 49.47/32.43 tff(17731,plain,
% 49.47/32.43 (((~![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)))),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17732,plain,
% 49.47/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 49.47/32.43 inference(quant_inst,[status(thm)],[])).
% 49.47/32.43 tff(17733,plain,
% 49.47/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 49.47/32.43 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 49.47/32.43 tff(17734,plain,
% 49.47/32.43 (v101(constB137) | (~v100(constB137))),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17733, 107, 17723])).
% 49.47/32.43 tff(17735,plain,
% 49.47/32.43 (~v100(constB137)),
% 49.47/32.43 inference(unit_resolution,[status(thm)],[17734, 17730])).
% 49.47/32.43 tff(17736,plain,
% 49.47/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 49.47/32.43 inference(rewrite,[status(thm)],[])).
% 49.47/32.43 tff(17737,plain,
% 49.47/32.43 (((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))) <=> (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17738,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17737])).
% 49.51/32.43 tff(17739,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17738, 17736])).
% 49.51/32.43 tff(17740,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17741,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 49.51/32.43 tff(17742,plain,
% 49.51/32.43 (v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17741, 122, 17723])).
% 49.51/32.43 tff(17743,plain,
% 49.51/32.43 (v90(constB136, 2) | (~v90(constB137, 2))),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17742, 17735])).
% 49.51/32.43 tff(17744,plain,
% 49.51/32.43 (~v90(constB137, 2)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17743, 17717])).
% 49.51/32.43 tff(17745,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17746,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17747,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1)),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17746, 17745])).
% 49.51/32.43 tff(17748,plain,
% 49.51/32.43 (v130(constB135, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17747, 838, 17609])).
% 49.51/32.43 tff(17749,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17750,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17751,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1)),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17750, 17749])).
% 49.51/32.43 tff(17752,plain,
% 49.51/32.43 ((~v130(constB135, 1)) | v127(constB135, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17751, 852, 17646])).
% 49.51/32.43 tff(17753,plain,
% 49.51/32.43 (v127(constB135, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17752, 17748])).
% 49.51/32.43 tff(17754,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17755,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17756,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1)),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17755, 17754])).
% 49.51/32.43 tff(17757,plain,
% 49.51/32.43 ((~v127(constB135, 1)) | v129(constB136, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17756, 867, 17661])).
% 49.51/32.43 tff(17758,plain,
% 49.51/32.43 (v129(constB136, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17757, 17753])).
% 49.51/32.43 tff(17759,plain,
% 49.51/32.43 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17760,plain,
% 49.51/32.43 ((v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1))) <=> (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17761,plain,
% 49.51/32.43 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17760])).
% 49.51/32.43 tff(17762,plain,
% 49.51/32.43 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17761, 17759])).
% 49.51/32.43 tff(17763,plain,
% 49.51/32.43 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17764,plain,
% 49.51/32.43 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17763, 17762])).
% 49.51/32.43 tff(17765,plain,
% 49.51/32.43 (v90(constB136, 1) | (~v100(constB136))),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17764, 882, 17758])).
% 49.51/32.43 tff(17766,plain,
% 49.51/32.43 (v90(constB136, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17765, 17695])).
% 49.51/32.43 tff(17767,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17768,plain,
% 49.51/32.43 (((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)) <=> ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17769,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17768])).
% 49.51/32.43 tff(17770,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17769, 17767])).
% 49.51/32.43 tff(17771,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17772,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17771, 17770])).
% 49.51/32.43 tff(17773,plain,
% 49.51/32.43 ((~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17772, 900, 17723])).
% 49.51/32.43 tff(17774,plain,
% 49.51/32.43 ((~v90(constB136, 1)) | v90(constB137, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17773, 17735])).
% 49.51/32.43 tff(17775,plain,
% 49.51/32.43 (v90(constB137, 1)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17774, 17766])).
% 49.51/32.43 tff(17776,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17777,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17778,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17777, 17776])).
% 49.51/32.43 tff(17779,plain,
% 49.51/32.43 (~v130(constB135, 0)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17778, 916, 17609])).
% 49.51/32.43 tff(17780,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17781,plain,
% 49.51/32.43 ((v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0))) <=> ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17782,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17781])).
% 49.51/32.43 tff(17783,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17782, 17780])).
% 49.51/32.43 tff(17784,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17785,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 49.51/32.43 tff(17786,plain,
% 49.51/32.43 ((~v127(constB135, 0)) | v130(constB135, 0)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17785, 930, 17646])).
% 49.51/32.43 tff(17787,plain,
% 49.51/32.43 (~v127(constB135, 0)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17786, 17779])).
% 49.51/32.43 tff(17788,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17789,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17790,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17789, 17788])).
% 49.51/32.43 tff(17791,plain,
% 49.51/32.43 (v127(constB135, 0) | (~v129(constB136, 0))),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17790, 948, 17661])).
% 49.51/32.43 tff(17792,plain,
% 49.51/32.43 (~v129(constB136, 0)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17791, 17787])).
% 49.51/32.43 tff(17793,plain,
% 49.51/32.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17794,plain,
% 49.51/32.43 (((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0)) <=> ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17795,plain,
% 49.51/32.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17794])).
% 49.51/32.43 tff(17796,plain,
% 49.51/32.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17795, 17793])).
% 49.51/32.43 tff(17797,plain,
% 49.51/32.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17798,plain,
% 49.51/32.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17797, 17796])).
% 49.51/32.43 tff(17799,plain,
% 49.51/32.43 ((~v90(constB136, 0)) | (~v100(constB136))),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17798, 963, 17792])).
% 49.51/32.43 tff(17800,plain,
% 49.51/32.43 (~v90(constB136, 0)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17799, 17695])).
% 49.51/32.43 tff(17801,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17802,plain,
% 49.51/32.43 (((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))) <=> (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17803,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17802])).
% 49.51/32.43 tff(17804,plain,
% 49.51/32.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17803, 17801])).
% 49.51/32.43 tff(17805,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17806,plain,
% 49.51/32.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 49.51/32.43 tff(17807,plain,
% 49.51/32.43 (v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17806, 164, 17723])).
% 49.51/32.43 tff(17808,plain,
% 49.51/32.43 (v90(constB136, 0) | (~v90(constB137, 0))),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17807, 17735])).
% 49.51/32.43 tff(17809,plain,
% 49.51/32.43 (~v90(constB137, 0)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17808, 17800])).
% 49.51/32.43 tff(17810,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17811,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17812,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137)),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17811, 17810])).
% 49.51/32.43 tff(17813,plain,
% 49.51/32.43 (v121(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17812, 990, 17809, 17775, 17744])).
% 49.51/32.43 tff(17814,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17815,plain,
% 49.51/32.43 (((~v121(constB137)) | v117(constB137)) <=> (v117(constB137) | (~v121(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17816,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17815])).
% 49.51/32.43 tff(17817,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17816, 17814])).
% 49.51/32.43 tff(17818,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17819,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 49.51/32.43 tff(17820,plain,
% 49.51/32.43 (v117(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17819, 1001, 17813])).
% 49.51/32.43 tff(17821,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17822,plain,
% 49.51/32.43 (((~v117(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v117(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17823,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17822])).
% 49.51/32.43 tff(17824,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17823, 17821])).
% 49.51/32.43 tff(17825,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17826,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17825, 17824])).
% 49.51/32.43 tff(17827,plain,
% 49.51/32.43 (v116(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17826, 224, 17820])).
% 49.51/32.43 tff(17828,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17829,plain,
% 49.51/32.43 (((~v116(constB137)) | v115(constB137)) <=> (v115(constB137) | (~v116(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17830,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17829])).
% 49.51/32.43 tff(17831,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17830, 17828])).
% 49.51/32.43 tff(17832,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17833,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17832, 17831])).
% 49.51/32.43 tff(17834,plain,
% 49.51/32.43 (v115(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17833, 238, 17827])).
% 49.51/32.43 tff(17835,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17836,plain,
% 49.51/32.43 (((~v115(constB137)) | v114(constB137)) <=> (v114(constB137) | (~v115(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17837,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17836])).
% 49.51/32.43 tff(17838,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17837, 17835])).
% 49.51/32.43 tff(17839,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17840,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17839, 17838])).
% 49.51/32.43 tff(17841,plain,
% 49.51/32.43 (v114(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17840, 252, 17834])).
% 49.51/32.43 tff(17842,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17843,plain,
% 49.51/32.43 (((~v114(constB137)) | v113(constB137)) <=> (v113(constB137) | (~v114(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17844,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137))))),
% 49.51/32.43 inference(monotonicity,[status(thm)],[17843])).
% 49.51/32.43 tff(17845,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 49.51/32.43 inference(transitivity,[status(thm)],[17844, 17842])).
% 49.51/32.43 tff(17846,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17847,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137))),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17846, 17845])).
% 49.51/32.43 tff(17848,plain,
% 49.51/32.43 (v113(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17847, 266, 17841])).
% 49.51/32.43 tff(17849,assumption,(v26(constB137)), introduced(assumption)).
% 49.51/32.43 tff(17850,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17851,plain,
% 49.51/32.43 ($false),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17850, 43, 17849])).
% 49.51/32.43 tff(17852,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 49.51/32.43 tff(17853,plain,
% 49.51/32.43 (((~![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))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.43 tff(17854,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 49.51/32.43 inference(quant_inst,[status(thm)],[])).
% 49.51/32.43 tff(17855,plain,
% 49.51/32.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 49.51/32.43 inference(modus_ponens,[status(thm)],[17854, 17853])).
% 49.51/32.43 tff(17856,plain,
% 49.51/32.43 ((~v113(constB137)) | v112(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17855, 280, 17852])).
% 49.51/32.43 tff(17857,plain,
% 49.51/32.43 (v112(constB137)),
% 49.51/32.43 inference(unit_resolution,[status(thm)],[17856, 17848])).
% 49.51/32.43 tff(17858,plain,
% 49.51/32.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 49.51/32.43 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17859,plain,
% 49.51/32.44 (((~v112(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v112(constB137)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17860,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137))))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17859])).
% 49.51/32.44 tff(17861,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17860, 17858])).
% 49.51/32.44 tff(17862,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17863,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17862, 17861])).
% 49.51/32.44 tff(17864,plain,
% 49.51/32.44 (v108(constB137)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17863, 292, 17857])).
% 49.51/32.44 tff(17865,plain,
% 49.51/32.44 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17866,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 49.51/32.44 tff(17867,plain,
% 49.51/32.44 (nextState(constB137, constB138)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17866, 17865])).
% 49.51/32.44 tff(17868,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17869,plain,
% 49.51/32.44 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17870,plain,
% 49.51/32.44 (((~![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))))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17869])).
% 49.51/32.44 tff(17871,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17870, 17868])).
% 49.51/32.44 tff(17872,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17873,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 49.51/32.44 tff(17874,plain,
% 49.51/32.44 (v110(constB138) | (~v108(constB137))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17873, 312, 17867])).
% 49.51/32.44 tff(17875,plain,
% 49.51/32.44 (v110(constB138)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17874, 17864])).
% 49.51/32.44 tff(17876,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17877,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17878,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17877, 17876])).
% 49.51/32.44 tff(17879,plain,
% 49.51/32.44 (~v104(constB138)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17878, 330, 17867, 17720])).
% 49.51/32.44 tff(17880,plain,
% 49.51/32.44 (((~![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)) | v102(constB138) | v104(constB138))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17881,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17882,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17881, 17880])).
% 49.51/32.44 tff(17883,plain,
% 49.51/32.44 (v102(constB138) | v104(constB138)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17882, 344, 17867])).
% 49.51/32.44 tff(17884,plain,
% 49.51/32.44 (v102(constB138)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17883, 17879])).
% 49.51/32.44 tff(17885,plain,
% 49.51/32.44 (v1(constB138) <=> v1(constB138)),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17886,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 49.51/32.44 tff(17887,plain,
% 49.51/32.44 (v1(constB138)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17886, 17885])).
% 49.51/32.44 tff(17888,plain,
% 49.51/32.44 (((~![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)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17889,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17890,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 49.51/32.44 tff(17891,plain,
% 49.51/32.44 (v101(constB138) | (~v102(constB138))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17890, 362, 17867, 17887])).
% 49.51/32.44 tff(17892,plain,
% 49.51/32.44 (v101(constB138)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17891, 17884])).
% 49.51/32.44 tff(17893,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17894,plain,
% 49.51/32.44 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17895,plain,
% 49.51/32.44 (((~![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))))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17894])).
% 49.51/32.44 tff(17896,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17895, 17893])).
% 49.51/32.44 tff(17897,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17898,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17897, 17896])).
% 49.51/32.44 tff(17899,plain,
% 49.51/32.44 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17898, 377, 17867])).
% 49.51/32.44 tff(17900,plain,
% 49.51/32.44 (v100(constB138) | (~v110(constB138))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17899, 17892])).
% 49.51/32.44 tff(17901,plain,
% 49.51/32.44 (v100(constB138)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17900, 17875])).
% 49.51/32.44 tff(17902,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17903,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17904,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17903, 17902])).
% 49.51/32.44 tff(17905,plain,
% 49.51/32.44 (~v130(constB137, 2)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17904, 1090, 17813])).
% 49.51/32.44 tff(17906,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17907,plain,
% 49.51/32.44 ((v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2))) <=> ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17908,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17907])).
% 49.51/32.44 tff(17909,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17908, 17906])).
% 49.51/32.44 tff(17910,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17911,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 49.51/32.44 tff(17912,plain,
% 49.51/32.44 ((~v127(constB137, 2)) | v130(constB137, 2)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17911, 593, 17852])).
% 49.51/32.44 tff(17913,plain,
% 49.51/32.44 (~v127(constB137, 2)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17912, 17905])).
% 49.51/32.44 tff(17914,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17915,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17916,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17915, 17914])).
% 49.51/32.44 tff(17917,plain,
% 49.51/32.44 (v127(constB137, 2) | (~v129(constB138, 2))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17916, 611, 17867])).
% 49.51/32.44 tff(17918,plain,
% 49.51/32.44 (~v129(constB138, 2)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17917, 17913])).
% 49.51/32.44 tff(17919,plain,
% 49.51/32.44 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17920,plain,
% 49.51/32.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17921,plain,
% 49.51/32.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17920, 17919])).
% 49.51/32.44 tff(17922,plain,
% 49.51/32.44 ((~v90(constB138, 2)) | (~v100(constB138))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17921, 626, 17918])).
% 49.51/32.44 tff(17923,plain,
% 49.51/32.44 (~v90(constB138, 2)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17922, 17901])).
% 49.51/32.44 tff(17924,plain,
% 49.51/32.44 ((~v1(constB139)) <=> (~v1(constB139))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17925,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 49.51/32.44 tff(17926,plain,
% 49.51/32.44 (~v1(constB139)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 49.51/32.44 tff(17927,plain,
% 49.51/32.44 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17928,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 49.51/32.44 tff(17929,plain,
% 49.51/32.44 (nextState(constB138, constB139)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17928, 17927])).
% 49.51/32.44 tff(17930,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17931,plain,
% 49.51/32.44 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17932,plain,
% 49.51/32.44 (((~![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))))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17931])).
% 49.51/32.44 tff(17933,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17932, 17930])).
% 49.51/32.44 tff(17934,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17935,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 49.51/32.44 tff(17936,plain,
% 49.51/32.44 (~v101(constB139)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17935, 90, 17929, 17926])).
% 49.51/32.44 tff(17937,plain,
% 49.51/32.44 (((~![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)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17938,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17939,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 49.51/32.44 tff(17940,plain,
% 49.51/32.44 (v101(constB139) | (~v100(constB139))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17939, 107, 17929])).
% 49.51/32.44 tff(17941,plain,
% 49.51/32.44 (~v100(constB139)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17940, 17936])).
% 49.51/32.44 tff(17942,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17943,plain,
% 49.51/32.44 (((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))) <=> (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17944,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17943])).
% 49.51/32.44 tff(17945,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17944, 17942])).
% 49.51/32.44 tff(17946,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17947,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17946, 17945])).
% 49.51/32.44 tff(17948,plain,
% 49.51/32.44 (v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17947, 122, 17929])).
% 49.51/32.44 tff(17949,plain,
% 49.51/32.44 (v90(constB138, 2) | (~v90(constB139, 2))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17948, 17941])).
% 49.51/32.44 tff(17950,plain,
% 49.51/32.44 (~v90(constB139, 2)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17949, 17923])).
% 49.51/32.44 tff(17951,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17952,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17953,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17952, 17951])).
% 49.51/32.44 tff(17954,plain,
% 49.51/32.44 (v130(constB137, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17953, 1146, 17813])).
% 49.51/32.44 tff(17955,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17956,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17957,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17956, 17955])).
% 49.51/32.44 tff(17958,plain,
% 49.51/32.44 ((~v130(constB137, 1)) | v127(constB137, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17957, 852, 17852])).
% 49.51/32.44 tff(17959,plain,
% 49.51/32.44 (v127(constB137, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17958, 17954])).
% 49.51/32.44 tff(17960,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17961,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17962,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17961, 17960])).
% 49.51/32.44 tff(17963,plain,
% 49.51/32.44 ((~v127(constB137, 1)) | v129(constB138, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17962, 867, 17867])).
% 49.51/32.44 tff(17964,plain,
% 49.51/32.44 (v129(constB138, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17963, 17959])).
% 49.51/32.44 tff(17965,plain,
% 49.51/32.44 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17966,plain,
% 49.51/32.44 ((v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1))) <=> (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17967,plain,
% 49.51/32.44 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17966])).
% 49.51/32.44 tff(17968,plain,
% 49.51/32.44 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17967, 17965])).
% 49.51/32.44 tff(17969,plain,
% 49.51/32.44 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17970,plain,
% 49.51/32.44 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 49.51/32.44 tff(17971,plain,
% 49.51/32.44 (v90(constB138, 1) | (~v100(constB138))),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17970, 882, 17964])).
% 49.51/32.44 tff(17972,plain,
% 49.51/32.44 (v90(constB138, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17971, 17901])).
% 49.51/32.44 tff(17973,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17974,plain,
% 49.51/32.44 (((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)) <=> ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17975,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17974])).
% 49.51/32.44 tff(17976,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17975, 17973])).
% 49.51/32.44 tff(17977,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17978,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17977, 17976])).
% 49.51/32.44 tff(17979,plain,
% 49.51/32.44 ((~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17978, 900, 17929])).
% 49.51/32.44 tff(17980,plain,
% 49.51/32.44 ((~v90(constB138, 1)) | v90(constB139, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17979, 17941])).
% 49.51/32.44 tff(17981,plain,
% 49.51/32.44 (v90(constB139, 1)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17980, 17972])).
% 49.51/32.44 tff(17982,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17983,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17984,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17983, 17982])).
% 49.51/32.44 tff(17985,plain,
% 49.51/32.44 (v130(constB137, 0)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17984, 1184, 17813])).
% 49.51/32.44 tff(17986,plain,
% 49.51/32.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17987,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17988,plain,
% 49.51/32.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17987, 17986])).
% 49.51/32.44 tff(17989,plain,
% 49.51/32.44 ((~v130(constB137, 0)) | v127(constB137, 0)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17988, 515, 17852])).
% 49.51/32.44 tff(17990,plain,
% 49.51/32.44 (v127(constB137, 0)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17989, 17985])).
% 49.51/32.44 tff(17991,plain,
% 49.51/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17992,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 49.51/32.44 inference(quant_inst,[status(thm)],[])).
% 49.51/32.44 tff(17993,plain,
% 49.51/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0)),
% 49.51/32.44 inference(modus_ponens,[status(thm)],[17992, 17991])).
% 49.51/32.44 tff(17994,plain,
% 49.51/32.44 ((~v127(constB137, 0)) | v129(constB138, 0)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17993, 530, 17867])).
% 49.51/32.44 tff(17995,plain,
% 49.51/32.44 (v129(constB138, 0)),
% 49.51/32.44 inference(unit_resolution,[status(thm)],[17994, 17990])).
% 49.51/32.44 tff(17996,plain,
% 49.51/32.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17997,plain,
% 49.51/32.44 ((v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0))) <=> (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 49.51/32.44 inference(rewrite,[status(thm)],[])).
% 49.51/32.44 tff(17998,plain,
% 49.51/32.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))))),
% 49.51/32.44 inference(monotonicity,[status(thm)],[17997])).
% 49.51/32.44 tff(17999,plain,
% 49.51/32.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 49.51/32.44 inference(transitivity,[status(thm)],[17998, 17996])).
% 49.51/32.44 tff(18000,plain,
% 49.51/32.44 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))),
% 49.52/32.44 inference(quant_inst,[status(thm)],[])).
% 49.52/32.44 tff(18001,plain,
% 49.52/32.44 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))),
% 49.52/32.44 inference(modus_ponens,[status(thm)],[18000, 17999])).
% 49.52/32.44 tff(18002,plain,
% 49.52/32.44 (v90(constB138, 0) | (~v100(constB138))),
% 49.52/32.44 inference(unit_resolution,[status(thm)],[18001, 545, 17995])).
% 49.52/32.44 tff(18003,plain,
% 49.52/32.44 (v90(constB138, 0)),
% 49.52/32.44 inference(unit_resolution,[status(thm)],[18002, 17901])).
% 49.52/32.44 tff(18004,plain,
% 49.52/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 49.52/32.44 inference(rewrite,[status(thm)],[])).
% 49.52/32.44 tff(18005,plain,
% 49.52/32.44 (((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)) <=> ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 49.52/32.44 inference(rewrite,[status(thm)],[])).
% 49.52/32.44 tff(18006,plain,
% 49.52/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)))),
% 49.52/32.44 inference(monotonicity,[status(thm)],[18005])).
% 49.52/32.44 tff(18007,plain,
% 49.52/32.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 49.52/32.44 inference(transitivity,[status(thm)],[18006, 18004])).
% 49.52/32.44 tff(18008,plain,
% 49.52/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))),
% 49.52/32.44 inference(quant_inst,[status(thm)],[])).
% 49.52/32.44 tff(18009,plain,
% 49.52/32.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)),
% 49.52/32.44 inference(modus_ponens,[status(thm)],[18008, 18007])).
% 49.52/32.44 tff(18010,plain,
% 49.52/32.44 ((~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)),
% 49.52/32.44 inference(unit_resolution,[status(thm)],[18009, 563, 17929])).
% 49.52/32.44 tff(18011,plain,
% 49.52/32.44 ((~v90(constB138, 0)) | v90(constB139, 0)),
% 49.52/32.44 inference(unit_resolution,[status(thm)],[18010, 17941])).
% 49.52/32.44 tff(18012,plain,
% 49.52/32.44 (v90(constB139, 0)),
% 49.52/32.44 inference(unit_resolution,[status(thm)],[18011, 18003])).
% 49.52/32.44 tff(18013,plain,
% 49.52/32.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 49.52/32.44 inference(rewrite,[status(thm)],[])).
% 49.52/32.44 tff(18014,plain,
% 49.52/32.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18015,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 49.52/32.45 tff(18016,plain,
% 49.52/32.45 (v122(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18015, 1225, 18012, 17981, 17950])).
% 49.52/32.45 tff(18017,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18018,plain,
% 49.52/32.45 (((~v122(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v122(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18019,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18018])).
% 49.52/32.45 tff(18020,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18019, 18017])).
% 49.52/32.45 tff(18021,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18022,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18021, 18020])).
% 49.52/32.45 tff(18023,plain,
% 49.52/32.45 (v116(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18022, 1236, 18016])).
% 49.52/32.45 tff(18024,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18025,plain,
% 49.52/32.45 (((~v116(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v116(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18026,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18025])).
% 49.52/32.45 tff(18027,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18026, 18024])).
% 49.52/32.45 tff(18028,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18029,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 49.52/32.45 tff(18030,plain,
% 49.52/32.45 (v115(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18029, 238, 18023])).
% 49.52/32.45 tff(18031,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18032,plain,
% 49.52/32.45 (((~v115(constB139)) | v114(constB139)) <=> (v114(constB139) | (~v115(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18033,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18032])).
% 49.52/32.45 tff(18034,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18033, 18031])).
% 49.52/32.45 tff(18035,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18036,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18035, 18034])).
% 49.52/32.45 tff(18037,plain,
% 49.52/32.45 (v114(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18036, 252, 18030])).
% 49.52/32.45 tff(18038,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18039,plain,
% 49.52/32.45 (((~v114(constB139)) | v113(constB139)) <=> (v113(constB139) | (~v114(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18040,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18039])).
% 49.52/32.45 tff(18041,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18040, 18038])).
% 49.52/32.45 tff(18042,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18043,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18042, 18041])).
% 49.52/32.45 tff(18044,plain,
% 49.52/32.45 (v113(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18043, 266, 18037])).
% 49.52/32.45 tff(18045,assumption,(~v108(constB139)), introduced(assumption)).
% 49.52/32.45 tff(18046,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18047,plain,
% 49.52/32.45 (((~v112(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v112(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18048,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18047])).
% 49.52/32.45 tff(18049,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18048, 18046])).
% 49.52/32.45 tff(18050,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18051,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 49.52/32.45 tff(18052,plain,
% 49.52/32.45 (~v112(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18051, 292, 18045])).
% 49.52/32.45 tff(18053,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v26(constB139)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18054,plain,
% 49.52/32.45 (((~v26(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v26(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18055,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v26(constB139))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18054])).
% 49.52/32.45 tff(18056,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18055, 18053])).
% 49.52/32.45 tff(18057,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18058,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 49.52/32.45 tff(18059,plain,
% 49.52/32.45 (~v26(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18058, 1761, 18045])).
% 49.52/32.45 tff(18060,assumption,(v113(constB139)), introduced(assumption)).
% 49.52/32.45 tff(18061,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18062,plain,
% 49.52/32.45 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18063,plain,
% 49.52/32.45 (((~![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))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18062])).
% 49.52/32.45 tff(18064,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18063, 18061])).
% 49.52/32.45 tff(18065,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18066,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18065, 18064])).
% 49.52/32.45 tff(18067,plain,
% 49.52/32.45 (v26(constB139) | v112(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18066, 280, 18060])).
% 49.52/32.45 tff(18068,plain,
% 49.52/32.45 ($false),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18067, 18059, 18052])).
% 49.52/32.45 tff(18069,plain,(v108(constB139) | (~v113(constB139))), inference(lemma,lemma(discharge,[]))).
% 49.52/32.45 tff(18070,plain,
% 49.52/32.45 (v108(constB139)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18069, 18044])).
% 49.52/32.45 tff(18071,plain,
% 49.52/32.45 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18072,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 49.52/32.45 tff(18073,plain,
% 49.52/32.45 (nextState(constB139, constB140)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18072, 18071])).
% 49.52/32.45 tff(18074,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18075,plain,
% 49.52/32.45 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18076,plain,
% 49.52/32.45 (((~![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))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18075])).
% 49.52/32.45 tff(18077,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18076, 18074])).
% 49.52/32.45 tff(18078,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18079,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18078, 18077])).
% 49.52/32.45 tff(18080,plain,
% 49.52/32.45 (v110(constB140) | (~v108(constB139))),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18079, 312, 18073])).
% 49.52/32.45 tff(18081,plain,
% 49.52/32.45 (v110(constB140)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18080, 18070])).
% 49.52/32.45 tff(18082,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18083,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18084,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 49.52/32.45 tff(18085,plain,
% 49.52/32.45 (~v104(constB140)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18084, 330, 18073, 17926])).
% 49.52/32.45 tff(18086,plain,
% 49.52/32.45 (((~![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)) | v102(constB140) | v104(constB140))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18087,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18088,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18087, 18086])).
% 49.52/32.45 tff(18089,plain,
% 49.52/32.45 (v102(constB140) | v104(constB140)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18088, 344, 18073])).
% 49.52/32.45 tff(18090,plain,
% 49.52/32.45 (v102(constB140)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18089, 18085])).
% 49.52/32.45 tff(18091,plain,
% 49.52/32.45 (v1(constB140) <=> v1(constB140)),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18092,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 49.52/32.45 tff(18093,plain,
% 49.52/32.45 (v1(constB140)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18092, 18091])).
% 49.52/32.45 tff(18094,plain,
% 49.52/32.45 (((~![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)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18095,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18096,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18095, 18094])).
% 49.52/32.45 tff(18097,plain,
% 49.52/32.45 (v101(constB140) | (~v102(constB140))),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18096, 362, 18073, 18093])).
% 49.52/32.45 tff(18098,plain,
% 49.52/32.45 (v101(constB140)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18097, 18090])).
% 49.52/32.45 tff(18099,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18100,plain,
% 49.52/32.45 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18101,plain,
% 49.52/32.45 (((~![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))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18100])).
% 49.52/32.45 tff(18102,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18101, 18099])).
% 49.52/32.45 tff(18103,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18104,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18103, 18102])).
% 49.52/32.45 tff(18105,plain,
% 49.52/32.45 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18104, 377, 18073])).
% 49.52/32.45 tff(18106,plain,
% 49.52/32.45 (v100(constB140) | (~v110(constB140))),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18105, 18098])).
% 49.52/32.45 tff(18107,plain,
% 49.52/32.45 (v100(constB140)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18106, 18081])).
% 49.52/32.45 tff(18108,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18109,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18110,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18109, 18108])).
% 49.52/32.45 tff(18111,plain,
% 49.52/32.45 (v130(constB139, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18110, 1314, 18016])).
% 49.52/32.45 tff(18112,assumption,(v26(constB139)), introduced(assumption)).
% 49.52/32.45 tff(18113,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18114,plain,
% 49.52/32.45 ($false),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18113, 43, 18112])).
% 49.52/32.45 tff(18115,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.45 tff(18116,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18117,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18118,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18117, 18116])).
% 49.52/32.45 tff(18119,plain,
% 49.52/32.45 ((~v130(constB139, 2)) | v127(constB139, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18118, 1328, 18115])).
% 49.52/32.45 tff(18120,plain,
% 49.52/32.45 (v127(constB139, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18119, 18111])).
% 49.52/32.45 tff(18121,plain,
% 49.52/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18122,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18123,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18122, 18121])).
% 49.52/32.45 tff(18124,plain,
% 49.52/32.45 ((~v127(constB139, 2)) | v129(constB140, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18123, 1343, 18073])).
% 49.52/32.45 tff(18125,plain,
% 49.52/32.45 (v129(constB140, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18124, 18120])).
% 49.52/32.45 tff(18126,plain,
% 49.52/32.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18127,plain,
% 49.52/32.45 ((v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2))) <=> (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18128,plain,
% 49.52/32.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18127])).
% 49.52/32.45 tff(18129,plain,
% 49.52/32.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18128, 18126])).
% 49.52/32.45 tff(18130,plain,
% 49.52/32.45 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18131,plain,
% 49.52/32.45 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 49.52/32.45 tff(18132,plain,
% 49.52/32.45 (v90(constB140, 2) | (~v100(constB140))),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18131, 1358, 18125])).
% 49.52/32.45 tff(18133,plain,
% 49.52/32.45 (v90(constB140, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18132, 18107])).
% 49.52/32.45 tff(18134,plain,
% 49.52/32.45 ((~v1(constB141)) <=> (~v1(constB141))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18135,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 49.52/32.45 tff(18136,plain,
% 49.52/32.45 (~v1(constB141)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18135, 18134])).
% 49.52/32.45 tff(18137,plain,
% 49.52/32.45 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18138,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 49.52/32.45 tff(18139,plain,
% 49.52/32.45 (nextState(constB140, constB141)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 49.52/32.45 tff(18140,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18141,plain,
% 49.52/32.45 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18142,plain,
% 49.52/32.45 (((~![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))))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18141])).
% 49.52/32.45 tff(18143,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18142, 18140])).
% 49.52/32.45 tff(18144,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18145,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18144, 18143])).
% 49.52/32.45 tff(18146,plain,
% 49.52/32.45 (~v101(constB141)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18145, 90, 18139, 18136])).
% 49.52/32.45 tff(18147,plain,
% 49.52/32.45 (((~![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)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18148,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18149,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18148, 18147])).
% 49.52/32.45 tff(18150,plain,
% 49.52/32.45 (v101(constB141) | (~v100(constB141))),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18149, 107, 18139])).
% 49.52/32.45 tff(18151,plain,
% 49.52/32.45 (~v100(constB141)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18150, 18146])).
% 49.52/32.45 tff(18152,plain,
% 49.52/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18153,plain,
% 49.52/32.45 (((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)) <=> ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18154,plain,
% 49.52/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18153])).
% 49.52/32.45 tff(18155,plain,
% 49.52/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18154, 18152])).
% 49.52/32.45 tff(18156,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18157,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18156, 18155])).
% 49.52/32.45 tff(18158,plain,
% 49.52/32.45 ((~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18157, 1394, 18139])).
% 49.52/32.45 tff(18159,plain,
% 49.52/32.45 ((~v90(constB140, 2)) | v90(constB141, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18158, 18151])).
% 49.52/32.45 tff(18160,plain,
% 49.52/32.45 (v90(constB141, 2)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18159, 18133])).
% 49.52/32.45 tff(18161,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18162,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18163,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18162, 18161])).
% 49.52/32.45 tff(18164,plain,
% 49.52/32.45 (~v130(constB139, 1)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18163, 1410, 18016])).
% 49.52/32.45 tff(18165,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18166,plain,
% 49.52/32.45 ((v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1))) <=> ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18167,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)))),
% 49.52/32.45 inference(monotonicity,[status(thm)],[18166])).
% 49.52/32.45 tff(18168,plain,
% 49.52/32.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 49.52/32.45 inference(transitivity,[status(thm)],[18167, 18165])).
% 49.52/32.45 tff(18169,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18170,plain,
% 49.52/32.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18169, 18168])).
% 49.52/32.45 tff(18171,plain,
% 49.52/32.45 ((~v127(constB139, 1)) | v130(constB139, 1)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18170, 408, 18115])).
% 49.52/32.45 tff(18172,plain,
% 49.52/32.45 (~v127(constB139, 1)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18171, 18164])).
% 49.52/32.45 tff(18173,plain,
% 49.52/32.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18174,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 49.52/32.45 inference(quant_inst,[status(thm)],[])).
% 49.52/32.45 tff(18175,plain,
% 49.52/32.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1))),
% 49.52/32.45 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 49.52/32.45 tff(18176,plain,
% 49.52/32.45 (v127(constB139, 1) | (~v129(constB140, 1))),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18175, 438, 18073])).
% 49.52/32.45 tff(18177,plain,
% 49.52/32.45 (~v129(constB140, 1)),
% 49.52/32.45 inference(unit_resolution,[status(thm)],[18176, 18172])).
% 49.52/32.45 tff(18178,plain,
% 49.52/32.45 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18179,plain,
% 49.52/32.45 (((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1)) <=> ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 49.52/32.45 inference(rewrite,[status(thm)],[])).
% 49.52/32.45 tff(18180,plain,
% 49.52/32.45 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18179])).
% 49.52/32.46 tff(18181,plain,
% 49.52/32.46 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18180, 18178])).
% 49.52/32.46 tff(18182,plain,
% 49.52/32.46 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18183,plain,
% 49.52/32.46 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 49.52/32.46 tff(18184,plain,
% 49.52/32.46 ((~v90(constB140, 1)) | (~v100(constB140))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18183, 453, 18177])).
% 49.52/32.46 tff(18185,plain,
% 49.52/32.46 (~v90(constB140, 1)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18184, 18107])).
% 49.52/32.46 tff(18186,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18187,plain,
% 49.52/32.46 (((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))) <=> (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18188,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18187])).
% 49.52/32.46 tff(18189,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18188, 18186])).
% 49.52/32.46 tff(18190,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18191,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 49.52/32.46 tff(18192,plain,
% 49.52/32.46 (v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18191, 143, 18139])).
% 49.52/32.46 tff(18193,plain,
% 49.52/32.46 (v90(constB140, 1) | (~v90(constB141, 1))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18192, 18151])).
% 49.52/32.46 tff(18194,plain,
% 49.52/32.46 (~v90(constB141, 1)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18193, 18185])).
% 49.52/32.46 tff(18195,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18196,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18197,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18196, 18195])).
% 49.52/32.46 tff(18198,plain,
% 49.52/32.46 (~v130(constB139, 0)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18197, 1451, 18016])).
% 49.52/32.46 tff(18199,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18200,plain,
% 49.52/32.46 ((v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0))) <=> ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18201,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18200])).
% 49.52/32.46 tff(18202,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18201, 18199])).
% 49.52/32.46 tff(18203,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18204,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18203, 18202])).
% 49.52/32.46 tff(18205,plain,
% 49.52/32.46 ((~v127(constB139, 0)) | v130(constB139, 0)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18204, 930, 18115])).
% 49.52/32.46 tff(18206,plain,
% 49.52/32.46 (~v127(constB139, 0)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18205, 18198])).
% 49.52/32.46 tff(18207,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18208,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18209,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18208, 18207])).
% 49.52/32.46 tff(18210,plain,
% 49.52/32.46 (v127(constB139, 0) | (~v129(constB140, 0))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18209, 948, 18073])).
% 49.52/32.46 tff(18211,plain,
% 49.52/32.46 (~v129(constB140, 0)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18210, 18206])).
% 49.52/32.46 tff(18212,plain,
% 49.52/32.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18213,plain,
% 49.52/32.46 (((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0)) <=> ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18214,plain,
% 49.52/32.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18213])).
% 49.52/32.46 tff(18215,plain,
% 49.52/32.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18214, 18212])).
% 49.52/32.46 tff(18216,plain,
% 49.52/32.46 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18217,plain,
% 49.52/32.46 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18216, 18215])).
% 49.52/32.46 tff(18218,plain,
% 49.52/32.46 ((~v90(constB140, 0)) | (~v100(constB140))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18217, 963, 18211])).
% 49.52/32.46 tff(18219,plain,
% 49.52/32.46 (~v90(constB140, 0)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18218, 18107])).
% 49.52/32.46 tff(18220,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18221,plain,
% 49.52/32.46 (((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))) <=> (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18222,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18221])).
% 49.52/32.46 tff(18223,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18222, 18220])).
% 49.52/32.46 tff(18224,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18225,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18224, 18223])).
% 49.52/32.46 tff(18226,plain,
% 49.52/32.46 (v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18225, 164, 18139])).
% 49.52/32.46 tff(18227,plain,
% 49.52/32.46 (v90(constB140, 0) | (~v90(constB141, 0))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18226, 18151])).
% 49.52/32.46 tff(18228,plain,
% 49.52/32.46 (~v90(constB141, 0)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18227, 18219])).
% 49.52/32.46 tff(18229,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18230,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18231,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18230, 18229])).
% 49.52/32.46 tff(18232,plain,
% 49.52/32.46 (v123(constB141)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18231, 1495, 18228, 18194, 18160])).
% 49.52/32.46 tff(18233,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18234,plain,
% 49.52/32.46 (((~v123(constB141)) | v115(constB141)) <=> (v115(constB141) | (~v123(constB141)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18235,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18234])).
% 49.52/32.46 tff(18236,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18235, 18233])).
% 49.52/32.46 tff(18237,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18238,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 49.52/32.46 tff(18239,plain,
% 49.52/32.46 (v115(constB141)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18238, 1506, 18232])).
% 49.52/32.46 tff(18240,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18241,plain,
% 49.52/32.46 (((~v115(constB141)) | v114(constB141)) <=> (v114(constB141) | (~v115(constB141)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18242,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18241])).
% 49.52/32.46 tff(18243,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18242, 18240])).
% 49.52/32.46 tff(18244,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18245,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18244, 18243])).
% 49.52/32.46 tff(18246,plain,
% 49.52/32.46 (v114(constB141)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18245, 252, 18239])).
% 49.52/32.46 tff(18247,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB141)) | v113(constB141))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18248,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18249,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB141)) | v113(constB141)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18248, 18247])).
% 49.52/32.46 tff(18250,plain,
% 49.52/32.46 (v113(constB141)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18249, 266, 18246])).
% 49.52/32.46 tff(18251,assumption,(v26(constB141)), introduced(assumption)).
% 49.52/32.46 tff(18252,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18253,plain,
% 49.52/32.46 ($false),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18252, 43, 18251])).
% 49.52/32.46 tff(18254,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.46 tff(18255,plain,
% 49.52/32.46 (((~![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) | (~v113(constB141)) | v112(constB141))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18256,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18257,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18256, 18255])).
% 49.52/32.46 tff(18258,plain,
% 49.52/32.46 ((~v113(constB141)) | v112(constB141)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18257, 280, 18254])).
% 49.52/32.46 tff(18259,plain,
% 49.52/32.46 (v112(constB141)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18258, 18250])).
% 49.52/32.46 tff(18260,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18261,plain,
% 49.52/32.46 (((~v112(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v112(constB141)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18262,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18261])).
% 49.52/32.46 tff(18263,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18262, 18260])).
% 49.52/32.46 tff(18264,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18265,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 49.52/32.46 tff(18266,plain,
% 49.52/32.46 (v108(constB141)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18265, 292, 18259])).
% 49.52/32.46 tff(18267,plain,
% 49.52/32.46 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18268,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 49.52/32.46 tff(18269,plain,
% 49.52/32.46 (nextState(constB141, constB142)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18268, 18267])).
% 49.52/32.46 tff(18270,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18271,plain,
% 49.52/32.46 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18272,plain,
% 49.52/32.46 (((~![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))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18271])).
% 49.52/32.46 tff(18273,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18272, 18270])).
% 49.52/32.46 tff(18274,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18275,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18274, 18273])).
% 49.52/32.46 tff(18276,plain,
% 49.52/32.46 (v110(constB142) | (~v108(constB141))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18275, 312, 18269])).
% 49.52/32.46 tff(18277,plain,
% 49.52/32.46 (v110(constB142)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18276, 18266])).
% 49.52/32.46 tff(18278,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18279,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18280,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18279, 18278])).
% 49.52/32.46 tff(18281,plain,
% 49.52/32.46 (~v104(constB142)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18280, 330, 18269, 18136])).
% 49.52/32.46 tff(18282,plain,
% 49.52/32.46 (((~![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)) | v102(constB142) | v104(constB142))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18283,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18284,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18283, 18282])).
% 49.52/32.46 tff(18285,plain,
% 49.52/32.46 (v102(constB142) | v104(constB142)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18284, 344, 18269])).
% 49.52/32.46 tff(18286,plain,
% 49.52/32.46 (v102(constB142)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18285, 18281])).
% 49.52/32.46 tff(18287,plain,
% 49.52/32.46 (v1(constB142) <=> v1(constB142)),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18288,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 49.52/32.46 tff(18289,plain,
% 49.52/32.46 (v1(constB142)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18288, 18287])).
% 49.52/32.46 tff(18290,plain,
% 49.52/32.46 (((~![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)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18291,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18292,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18291, 18290])).
% 49.52/32.46 tff(18293,plain,
% 49.52/32.46 (v101(constB142) | (~v102(constB142))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18292, 362, 18269, 18289])).
% 49.52/32.46 tff(18294,plain,
% 49.52/32.46 (v101(constB142)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18293, 18286])).
% 49.52/32.46 tff(18295,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18296,plain,
% 49.52/32.46 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18297,plain,
% 49.52/32.46 (((~![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))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18296])).
% 49.52/32.46 tff(18298,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18297, 18295])).
% 49.52/32.46 tff(18299,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18300,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18299, 18298])).
% 49.52/32.46 tff(18301,plain,
% 49.52/32.46 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18300, 377, 18269])).
% 49.52/32.46 tff(18302,plain,
% 49.52/32.46 (v100(constB142) | (~v110(constB142))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18301, 18294])).
% 49.52/32.46 tff(18303,plain,
% 49.52/32.46 (v100(constB142)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18302, 18277])).
% 49.52/32.46 tff(18304,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18305,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18306,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18305, 18304])).
% 49.52/32.46 tff(18307,plain,
% 49.52/32.46 (v130(constB141, 2)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18306, 1580, 18232])).
% 49.52/32.46 tff(18308,plain,
% 49.52/32.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18309,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18310,plain,
% 49.52/32.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18309, 18308])).
% 49.52/32.46 tff(18311,plain,
% 49.52/32.46 ((~v130(constB141, 2)) | v127(constB141, 2)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18310, 1328, 18254])).
% 49.52/32.46 tff(18312,plain,
% 49.52/32.46 (v127(constB141, 2)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18311, 18307])).
% 49.52/32.46 tff(18313,plain,
% 49.52/32.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18314,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18315,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18314, 18313])).
% 49.52/32.46 tff(18316,plain,
% 49.52/32.46 ((~v127(constB141, 2)) | v129(constB142, 2)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18315, 1343, 18269])).
% 49.52/32.46 tff(18317,plain,
% 49.52/32.46 (v129(constB142, 2)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18316, 18312])).
% 49.52/32.46 tff(18318,plain,
% 49.52/32.46 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18319,plain,
% 49.52/32.46 ((v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2))) <=> (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18320,plain,
% 49.52/32.46 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18319])).
% 49.52/32.46 tff(18321,plain,
% 49.52/32.46 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18320, 18318])).
% 49.52/32.46 tff(18322,plain,
% 49.52/32.46 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18323,plain,
% 49.52/32.46 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18322, 18321])).
% 49.52/32.46 tff(18324,plain,
% 49.52/32.46 (v90(constB142, 2) | (~v100(constB142))),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18323, 1358, 18317])).
% 49.52/32.46 tff(18325,plain,
% 49.52/32.46 (v90(constB142, 2)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18324, 18303])).
% 49.52/32.46 tff(18326,plain,
% 49.52/32.46 ((~v1(constB143)) <=> (~v1(constB143))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18327,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 49.52/32.46 tff(18328,plain,
% 49.52/32.46 (~v1(constB143)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18327, 18326])).
% 49.52/32.46 tff(18329,plain,
% 49.52/32.46 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18330,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 49.52/32.46 tff(18331,plain,
% 49.52/32.46 (nextState(constB142, constB143)),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18330, 18329])).
% 49.52/32.46 tff(18332,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18333,plain,
% 49.52/32.46 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 49.52/32.46 inference(rewrite,[status(thm)],[])).
% 49.52/32.46 tff(18334,plain,
% 49.52/32.46 (((~![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))))),
% 49.52/32.46 inference(monotonicity,[status(thm)],[18333])).
% 49.52/32.46 tff(18335,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.46 inference(transitivity,[status(thm)],[18334, 18332])).
% 49.52/32.46 tff(18336,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 49.52/32.46 inference(quant_inst,[status(thm)],[])).
% 49.52/32.46 tff(18337,plain,
% 49.52/32.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 49.52/32.46 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 49.52/32.46 tff(18338,plain,
% 49.52/32.46 (~v101(constB143)),
% 49.52/32.46 inference(unit_resolution,[status(thm)],[18337, 90, 18331, 18328])).
% 49.52/32.46 tff(18339,plain,
% 49.52/32.46 (((~![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)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18340,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18341,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18340, 18339])).
% 49.52/32.47 tff(18342,plain,
% 49.52/32.47 (v101(constB143) | (~v100(constB143))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18341, 107, 18331])).
% 49.52/32.47 tff(18343,plain,
% 49.52/32.47 (~v100(constB143)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18342, 18338])).
% 49.52/32.47 tff(18344,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18345,plain,
% 49.52/32.47 (((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)) <=> ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18346,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18345])).
% 49.52/32.47 tff(18347,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18346, 18344])).
% 49.52/32.47 tff(18348,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18349,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18348, 18347])).
% 49.52/32.47 tff(18350,plain,
% 49.52/32.47 ((~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18349, 1394, 18331])).
% 49.52/32.47 tff(18351,plain,
% 49.52/32.47 ((~v90(constB142, 2)) | v90(constB143, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18350, 18343])).
% 49.52/32.47 tff(18352,plain,
% 49.52/32.47 (v90(constB143, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18351, 18325])).
% 49.52/32.47 tff(18353,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18354,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18355,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 49.52/32.47 tff(18356,plain,
% 49.52/32.47 (~v130(constB141, 1)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18355, 1636, 18232])).
% 49.52/32.47 tff(18357,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18358,plain,
% 49.52/32.47 ((v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1))) <=> ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18359,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18358])).
% 49.52/32.47 tff(18360,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18359, 18357])).
% 49.52/32.47 tff(18361,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18362,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 49.52/32.47 tff(18363,plain,
% 49.52/32.47 ((~v127(constB141, 1)) | v130(constB141, 1)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18362, 408, 18254])).
% 49.52/32.47 tff(18364,plain,
% 49.52/32.47 (~v127(constB141, 1)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18363, 18356])).
% 49.52/32.47 tff(18365,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18366,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18367,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 49.52/32.47 tff(18368,plain,
% 49.52/32.47 (v127(constB141, 1) | (~v129(constB142, 1))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18367, 438, 18269])).
% 49.52/32.47 tff(18369,plain,
% 49.52/32.47 (~v129(constB142, 1)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18368, 18364])).
% 49.52/32.47 tff(18370,plain,
% 49.52/32.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18371,plain,
% 49.52/32.47 (((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1)) <=> ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18372,plain,
% 49.52/32.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18371])).
% 49.52/32.47 tff(18373,plain,
% 49.52/32.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18372, 18370])).
% 49.52/32.47 tff(18374,plain,
% 49.52/32.47 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18375,plain,
% 49.52/32.47 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18374, 18373])).
% 49.52/32.47 tff(18376,plain,
% 49.52/32.47 ((~v90(constB142, 1)) | (~v100(constB142))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18375, 453, 18369])).
% 49.52/32.47 tff(18377,plain,
% 49.52/32.47 (~v90(constB142, 1)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18376, 18303])).
% 49.52/32.47 tff(18378,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18379,plain,
% 49.52/32.47 (((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))) <=> (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18380,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18379])).
% 49.52/32.47 tff(18381,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18380, 18378])).
% 49.52/32.47 tff(18382,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18383,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18382, 18381])).
% 49.52/32.47 tff(18384,plain,
% 49.52/32.47 (v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18383, 143, 18331])).
% 49.52/32.47 tff(18385,plain,
% 49.52/32.47 (v90(constB142, 1) | (~v90(constB143, 1))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18384, 18343])).
% 49.52/32.47 tff(18386,plain,
% 49.52/32.47 (~v90(constB143, 1)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18385, 18377])).
% 49.52/32.47 tff(18387,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18388,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18389,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18388, 18387])).
% 49.52/32.47 tff(18390,plain,
% 49.52/32.47 (v130(constB141, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18389, 1677, 18232])).
% 49.52/32.47 tff(18391,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18392,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18393,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 49.52/32.47 tff(18394,plain,
% 49.52/32.47 ((~v130(constB141, 0)) | v127(constB141, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18393, 515, 18254])).
% 49.52/32.47 tff(18395,plain,
% 49.52/32.47 (v127(constB141, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18394, 18390])).
% 49.52/32.47 tff(18396,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18397,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18398,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18397, 18396])).
% 49.52/32.47 tff(18399,plain,
% 49.52/32.47 ((~v127(constB141, 0)) | v129(constB142, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18398, 530, 18269])).
% 49.52/32.47 tff(18400,plain,
% 49.52/32.47 (v129(constB142, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18399, 18395])).
% 49.52/32.47 tff(18401,plain,
% 49.52/32.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18402,plain,
% 49.52/32.47 ((v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0))) <=> (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18403,plain,
% 49.52/32.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18402])).
% 49.52/32.47 tff(18404,plain,
% 49.52/32.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18403, 18401])).
% 49.52/32.47 tff(18405,plain,
% 49.52/32.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18406,plain,
% 49.52/32.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18405, 18404])).
% 49.52/32.47 tff(18407,plain,
% 49.52/32.47 (v90(constB142, 0) | (~v100(constB142))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18406, 545, 18400])).
% 49.52/32.47 tff(18408,plain,
% 49.52/32.47 (v90(constB142, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18407, 18303])).
% 49.52/32.47 tff(18409,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18410,plain,
% 49.52/32.47 (((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)) <=> ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18411,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18410])).
% 49.52/32.47 tff(18412,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18411, 18409])).
% 49.52/32.47 tff(18413,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18414,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18413, 18412])).
% 49.52/32.47 tff(18415,plain,
% 49.52/32.47 ((~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18414, 563, 18331])).
% 49.52/32.47 tff(18416,plain,
% 49.52/32.47 ((~v90(constB142, 0)) | v90(constB143, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18415, 18343])).
% 49.52/32.47 tff(18417,plain,
% 49.52/32.47 (v90(constB143, 0)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18416, 18408])).
% 49.52/32.47 tff(18418,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18419,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18420,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18419, 18418])).
% 49.52/32.47 tff(18421,plain,
% 49.52/32.47 (v124(constB143)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18420, 1718, 18417, 18386, 18352])).
% 49.52/32.47 tff(18422,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18423,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18424,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18423, 18422])).
% 49.52/32.47 tff(18425,plain,
% 49.52/32.47 (v114(constB143)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18424, 1775, 18421])).
% 49.52/32.47 tff(18426,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB143)) | v113(constB143))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18427,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18428,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB143)) | v113(constB143)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18427, 18426])).
% 49.52/32.47 tff(18429,plain,
% 49.52/32.47 (v113(constB143)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18428, 266, 18425])).
% 49.52/32.47 tff(18430,assumption,(v26(constB143)), introduced(assumption)).
% 49.52/32.47 tff(18431,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18432,plain,
% 49.52/32.47 ($false),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18431, 43, 18430])).
% 49.52/32.47 tff(18433,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.47 tff(18434,plain,
% 49.52/32.47 (((~![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)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18435,plain,
% 49.52/32.47 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18436,plain,
% 49.52/32.47 (((~![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))))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18435])).
% 49.52/32.47 tff(18437,plain,
% 49.52/32.47 (((~![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)))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18436, 18434])).
% 49.52/32.47 tff(18438,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18439,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18438, 18437])).
% 49.52/32.47 tff(18440,plain,
% 49.52/32.47 (v112(constB143) | (~v113(constB143))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18439, 280, 18433])).
% 49.52/32.47 tff(18441,plain,
% 49.52/32.47 (v112(constB143)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18440, 18429])).
% 49.52/32.47 tff(18442,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18443,plain,
% 49.52/32.47 (((~v112(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v112(constB143)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18444,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143))))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18443])).
% 49.52/32.47 tff(18445,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18444, 18442])).
% 49.52/32.47 tff(18446,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18447,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18446, 18445])).
% 49.52/32.47 tff(18448,plain,
% 49.52/32.47 (v108(constB143)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18447, 292, 18441])).
% 49.52/32.47 tff(18449,plain,
% 49.52/32.47 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18450,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 49.52/32.47 tff(18451,plain,
% 49.52/32.47 (nextState(constB143, constB144)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18450, 18449])).
% 49.52/32.47 tff(18452,plain,
% 49.52/32.47 (((~![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)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18453,plain,
% 49.52/32.47 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18454,plain,
% 49.52/32.47 (((~![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))))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18453])).
% 49.52/32.47 tff(18455,plain,
% 49.52/32.47 (((~![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)))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18454, 18452])).
% 49.52/32.47 tff(18456,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18457,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 49.52/32.47 tff(18458,plain,
% 49.52/32.47 (v110(constB144) | (~v108(constB143))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18457, 312, 18451])).
% 49.52/32.47 tff(18459,plain,
% 49.52/32.47 (v110(constB144)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18458, 18448])).
% 49.52/32.47 tff(18460,plain,
% 49.52/32.47 (((~![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)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18461,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18462,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 49.52/32.47 tff(18463,plain,
% 49.52/32.47 (~v104(constB144)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18462, 330, 18451, 18328])).
% 49.52/32.47 tff(18464,plain,
% 49.52/32.47 (((~![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)) | v102(constB144) | v104(constB144))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18465,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18466,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18465, 18464])).
% 49.52/32.47 tff(18467,plain,
% 49.52/32.47 (v102(constB144) | v104(constB144)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18466, 344, 18451])).
% 49.52/32.47 tff(18468,plain,
% 49.52/32.47 (v102(constB144)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18467, 18463])).
% 49.52/32.47 tff(18469,plain,
% 49.52/32.47 (v1(constB144) <=> v1(constB144)),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18470,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 49.52/32.47 tff(18471,plain,
% 49.52/32.47 (v1(constB144)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18470, 18469])).
% 49.52/32.47 tff(18472,plain,
% 49.52/32.47 (((~![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)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18473,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18474,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18473, 18472])).
% 49.52/32.47 tff(18475,plain,
% 49.52/32.47 (v101(constB144) | (~v102(constB144))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18474, 362, 18451, 18471])).
% 49.52/32.47 tff(18476,plain,
% 49.52/32.47 (v101(constB144)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18475, 18468])).
% 49.52/32.47 tff(18477,plain,
% 49.52/32.47 (((~![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)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18478,plain,
% 49.52/32.47 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18479,plain,
% 49.52/32.47 (((~![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))))),
% 49.52/32.47 inference(monotonicity,[status(thm)],[18478])).
% 49.52/32.47 tff(18480,plain,
% 49.52/32.47 (((~![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)))),
% 49.52/32.47 inference(transitivity,[status(thm)],[18479, 18477])).
% 49.52/32.47 tff(18481,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18482,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 49.52/32.47 tff(18483,plain,
% 49.52/32.47 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18482, 377, 18451])).
% 49.52/32.47 tff(18484,plain,
% 49.52/32.47 (v100(constB144) | (~v110(constB144))),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18483, 18476])).
% 49.52/32.47 tff(18485,plain,
% 49.52/32.47 (v100(constB144)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18484, 18459])).
% 49.52/32.47 tff(18486,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18487,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18488,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18487, 18486])).
% 49.52/32.47 tff(18489,plain,
% 49.52/32.47 (v130(constB143, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18488, 1729, 18421])).
% 49.52/32.47 tff(18490,plain,
% 49.52/32.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18491,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18492,plain,
% 49.52/32.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18491, 18490])).
% 49.52/32.47 tff(18493,plain,
% 49.52/32.47 ((~v130(constB143, 2)) | v127(constB143, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18492, 1328, 18433])).
% 49.52/32.47 tff(18494,plain,
% 49.52/32.47 (v127(constB143, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18493, 18489])).
% 49.52/32.47 tff(18495,plain,
% 49.52/32.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18496,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 49.52/32.47 inference(quant_inst,[status(thm)],[])).
% 49.52/32.47 tff(18497,plain,
% 49.52/32.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2)),
% 49.52/32.47 inference(modus_ponens,[status(thm)],[18496, 18495])).
% 49.52/32.47 tff(18498,plain,
% 49.52/32.47 ((~v127(constB143, 2)) | v129(constB144, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18497, 1343, 18451])).
% 49.52/32.47 tff(18499,plain,
% 49.52/32.47 (v129(constB144, 2)),
% 49.52/32.47 inference(unit_resolution,[status(thm)],[18498, 18494])).
% 49.52/32.47 tff(18500,plain,
% 49.52/32.47 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 49.52/32.47 inference(rewrite,[status(thm)],[])).
% 49.52/32.47 tff(18501,plain,
% 49.52/32.47 ((v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2))) <=> (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18502,plain,
% 49.52/32.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18501])).
% 49.52/32.48 tff(18503,plain,
% 49.52/32.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18502, 18500])).
% 49.52/32.48 tff(18504,plain,
% 49.52/32.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18505,plain,
% 49.52/32.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18504, 18503])).
% 49.52/32.48 tff(18506,plain,
% 49.52/32.48 (v90(constB144, 2) | (~v100(constB144))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18505, 1358, 18499])).
% 49.52/32.48 tff(18507,plain,
% 49.52/32.48 (v90(constB144, 2)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18506, 18485])).
% 49.52/32.48 tff(18508,plain,
% 49.52/32.48 ((~v1(constB145)) <=> (~v1(constB145))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18509,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 49.52/32.48 tff(18510,plain,
% 49.52/32.48 (~v1(constB145)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18509, 18508])).
% 49.52/32.48 tff(18511,plain,
% 49.52/32.48 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18512,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 49.52/32.48 tff(18513,plain,
% 49.52/32.48 (nextState(constB144, constB145)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18512, 18511])).
% 49.52/32.48 tff(18514,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18515,plain,
% 49.52/32.48 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18516,plain,
% 49.52/32.48 (((~![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))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18515])).
% 49.52/32.48 tff(18517,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18516, 18514])).
% 49.52/32.48 tff(18518,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18519,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18518, 18517])).
% 49.52/32.48 tff(18520,plain,
% 49.52/32.48 (~v101(constB145)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18519, 90, 18513, 18510])).
% 49.52/32.48 tff(18521,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18522,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18523,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18522, 18521])).
% 49.52/32.48 tff(18524,plain,
% 49.52/32.48 (v101(constB145) | (~v100(constB145))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18523, 107, 18513])).
% 49.52/32.48 tff(18525,plain,
% 49.52/32.48 (~v100(constB145)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18524, 18520])).
% 49.52/32.48 tff(18526,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18527,plain,
% 49.52/32.48 (((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)) <=> ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18528,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18527])).
% 49.52/32.48 tff(18529,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18528, 18526])).
% 49.52/32.48 tff(18530,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18531,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18530, 18529])).
% 49.52/32.48 tff(18532,plain,
% 49.52/32.48 ((~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18531, 1394, 18513])).
% 49.52/32.48 tff(18533,plain,
% 49.52/32.48 ((~v90(constB144, 2)) | v90(constB145, 2)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18532, 18525])).
% 49.52/32.48 tff(18534,plain,
% 49.52/32.48 (v90(constB145, 2)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18533, 18507])).
% 49.52/32.48 tff(18535,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18536,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18537,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 49.52/32.48 tff(18538,plain,
% 49.52/32.48 (v130(constB143, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18537, 1871, 18421])).
% 49.52/32.48 tff(18539,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18540,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18541,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18540, 18539])).
% 49.52/32.48 tff(18542,plain,
% 49.52/32.48 ((~v130(constB143, 1)) | v127(constB143, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18541, 852, 18433])).
% 49.52/32.48 tff(18543,plain,
% 49.52/32.48 (v127(constB143, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18542, 18538])).
% 49.52/32.48 tff(18544,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18545,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18546,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 49.52/32.48 tff(18547,plain,
% 49.52/32.48 ((~v127(constB143, 1)) | v129(constB144, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18546, 867, 18451])).
% 49.52/32.48 tff(18548,plain,
% 49.52/32.48 (v129(constB144, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18547, 18543])).
% 49.52/32.48 tff(18549,plain,
% 49.52/32.48 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18550,plain,
% 49.52/32.48 ((v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1))) <=> (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18551,plain,
% 49.52/32.48 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18550])).
% 49.52/32.48 tff(18552,plain,
% 49.52/32.48 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18551, 18549])).
% 49.52/32.48 tff(18553,plain,
% 49.52/32.48 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18554,plain,
% 49.52/32.48 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18553, 18552])).
% 49.52/32.48 tff(18555,plain,
% 49.52/32.48 (v90(constB144, 1) | (~v100(constB144))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18554, 882, 18548])).
% 49.52/32.48 tff(18556,plain,
% 49.52/32.48 (v90(constB144, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18555, 18485])).
% 49.52/32.48 tff(18557,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18558,plain,
% 49.52/32.48 (((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)) <=> ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18559,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18558])).
% 49.52/32.48 tff(18560,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18559, 18557])).
% 49.52/32.48 tff(18561,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18562,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18561, 18560])).
% 49.52/32.48 tff(18563,plain,
% 49.52/32.48 ((~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18562, 900, 18513])).
% 49.52/32.48 tff(18564,plain,
% 49.52/32.48 ((~v90(constB144, 1)) | v90(constB145, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18563, 18525])).
% 49.52/32.48 tff(18565,plain,
% 49.52/32.48 (v90(constB145, 1)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18564, 18556])).
% 49.52/32.48 tff(18566,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18567,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18568,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18567, 18566])).
% 49.52/32.48 tff(18569,plain,
% 49.52/32.48 (~v130(constB143, 0)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18568, 1909, 18421])).
% 49.52/32.48 tff(18570,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18571,plain,
% 49.52/32.48 ((v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0))) <=> ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18572,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18571])).
% 49.52/32.48 tff(18573,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18572, 18570])).
% 49.52/32.48 tff(18574,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18575,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 49.52/32.48 tff(18576,plain,
% 49.52/32.48 ((~v127(constB143, 0)) | v130(constB143, 0)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18575, 930, 18433])).
% 49.52/32.48 tff(18577,plain,
% 49.52/32.48 (~v127(constB143, 0)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18576, 18569])).
% 49.52/32.48 tff(18578,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18579,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18580,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18579, 18578])).
% 49.52/32.48 tff(18581,plain,
% 49.52/32.48 (v127(constB143, 0) | (~v129(constB144, 0))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18580, 948, 18451])).
% 49.52/32.48 tff(18582,plain,
% 49.52/32.48 (~v129(constB144, 0)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18581, 18577])).
% 49.52/32.48 tff(18583,plain,
% 49.52/32.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18584,plain,
% 49.52/32.48 (((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0)) <=> ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18585,plain,
% 49.52/32.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18584])).
% 49.52/32.48 tff(18586,plain,
% 49.52/32.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18585, 18583])).
% 49.52/32.48 tff(18587,plain,
% 49.52/32.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18588,plain,
% 49.52/32.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18587, 18586])).
% 49.52/32.48 tff(18589,plain,
% 49.52/32.48 ((~v90(constB144, 0)) | (~v100(constB144))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18588, 963, 18582])).
% 49.52/32.48 tff(18590,plain,
% 49.52/32.48 (~v90(constB144, 0)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18589, 18485])).
% 49.52/32.48 tff(18591,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18592,plain,
% 49.52/32.48 (((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))) <=> (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18593,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18592])).
% 49.52/32.48 tff(18594,plain,
% 49.52/32.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18593, 18591])).
% 49.52/32.48 tff(18595,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18596,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18595, 18594])).
% 49.52/32.48 tff(18597,plain,
% 49.52/32.48 (v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18596, 164, 18513])).
% 49.52/32.48 tff(18598,plain,
% 49.52/32.48 (v90(constB144, 0) | (~v90(constB145, 0))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18597, 18525])).
% 49.52/32.48 tff(18599,plain,
% 49.52/32.48 (~v90(constB145, 0)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18598, 18590])).
% 49.52/32.48 tff(18600,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18601,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18602,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18601, 18600])).
% 49.52/32.48 tff(18603,plain,
% 49.52/32.48 (v125(constB145)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18602, 1953, 18599, 18565, 18534])).
% 49.52/32.48 tff(18604,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v125(constB145)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18605,plain,
% 49.52/32.48 (((~v125(constB145)) | v113(constB145)) <=> (v113(constB145) | (~v125(constB145)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18606,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v125(constB145))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18605])).
% 49.52/32.48 tff(18607,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v125(constB145)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18606, 18604])).
% 49.52/32.48 tff(18608,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18609,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v125(constB145))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18608, 18607])).
% 49.52/32.48 tff(18610,plain,
% 49.52/32.48 (v113(constB145)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18609, 1964, 18603])).
% 49.52/32.48 tff(18611,assumption,(v26(constB145)), introduced(assumption)).
% 49.52/32.48 tff(18612,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18613,plain,
% 49.52/32.48 ($false),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18612, 43, 18611])).
% 49.52/32.48 tff(18614,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.48 tff(18615,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18616,plain,
% 49.52/32.48 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18617,plain,
% 49.52/32.48 (((~![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))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18616])).
% 49.52/32.48 tff(18618,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18617, 18615])).
% 49.52/32.48 tff(18619,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18620,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18619, 18618])).
% 49.52/32.48 tff(18621,plain,
% 49.52/32.48 (v112(constB145) | (~v113(constB145))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18620, 280, 18614])).
% 49.52/32.48 tff(18622,plain,
% 49.52/32.48 (v112(constB145)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18621, 18610])).
% 49.52/32.48 tff(18623,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18624,plain,
% 49.52/32.48 (((~v112(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v112(constB145)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18625,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18624])).
% 49.52/32.48 tff(18626,plain,
% 49.52/32.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18625, 18623])).
% 49.52/32.48 tff(18627,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18628,plain,
% 49.52/32.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18627, 18626])).
% 49.52/32.48 tff(18629,plain,
% 49.52/32.48 (v108(constB145)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18628, 292, 18622])).
% 49.52/32.48 tff(18630,plain,
% 49.52/32.48 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18631,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 49.52/32.48 tff(18632,plain,
% 49.52/32.48 (nextState(constB145, constB146)),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18631, 18630])).
% 49.52/32.48 tff(18633,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18634,plain,
% 49.52/32.48 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18635,plain,
% 49.52/32.48 (((~![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))))),
% 49.52/32.48 inference(monotonicity,[status(thm)],[18634])).
% 49.52/32.48 tff(18636,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(transitivity,[status(thm)],[18635, 18633])).
% 49.52/32.48 tff(18637,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18638,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 49.52/32.48 tff(18639,plain,
% 49.52/32.48 (v110(constB146) | (~v108(constB145))),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18638, 312, 18632])).
% 49.52/32.48 tff(18640,plain,
% 49.52/32.48 (v110(constB146)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18639, 18629])).
% 49.52/32.48 tff(18641,plain,
% 49.52/32.48 (((~![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)))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18642,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18643,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 49.52/32.48 inference(modus_ponens,[status(thm)],[18642, 18641])).
% 49.52/32.48 tff(18644,plain,
% 49.52/32.48 (~v104(constB146)),
% 49.52/32.48 inference(unit_resolution,[status(thm)],[18643, 330, 18632, 18510])).
% 49.52/32.48 tff(18645,plain,
% 49.52/32.48 (((~![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)) | v102(constB146) | v104(constB146))),
% 49.52/32.48 inference(rewrite,[status(thm)],[])).
% 49.52/32.48 tff(18646,plain,
% 49.52/32.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 49.52/32.48 inference(quant_inst,[status(thm)],[])).
% 49.52/32.48 tff(18647,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18646, 18645])).
% 49.52/32.49 tff(18648,plain,
% 49.52/32.49 (v102(constB146) | v104(constB146)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18647, 344, 18632])).
% 49.52/32.49 tff(18649,plain,
% 49.52/32.49 (v102(constB146)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18648, 18644])).
% 49.52/32.49 tff(18650,plain,
% 49.52/32.49 (v1(constB146) <=> v1(constB146)),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18651,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 49.52/32.49 tff(18652,plain,
% 49.52/32.49 (v1(constB146)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18651, 18650])).
% 49.52/32.49 tff(18653,plain,
% 49.52/32.49 (((~![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)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18654,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18655,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18654, 18653])).
% 49.52/32.49 tff(18656,plain,
% 49.52/32.49 (v101(constB146) | (~v102(constB146))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18655, 362, 18632, 18652])).
% 49.52/32.49 tff(18657,plain,
% 49.52/32.49 (v101(constB146)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18656, 18649])).
% 49.52/32.49 tff(18658,plain,
% 49.52/32.49 (((~![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)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18659,plain,
% 49.52/32.49 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18660,plain,
% 49.52/32.49 (((~![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))))),
% 49.52/32.49 inference(monotonicity,[status(thm)],[18659])).
% 49.52/32.49 tff(18661,plain,
% 49.52/32.49 (((~![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)))),
% 49.52/32.49 inference(transitivity,[status(thm)],[18660, 18658])).
% 49.52/32.49 tff(18662,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18663,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18662, 18661])).
% 49.52/32.49 tff(18664,plain,
% 49.52/32.49 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18663, 377, 18632])).
% 49.52/32.49 tff(18665,plain,
% 49.52/32.49 (v100(constB146) | (~v110(constB146))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18664, 18657])).
% 49.52/32.49 tff(18666,plain,
% 49.52/32.49 (v100(constB146)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18665, 18640])).
% 49.52/32.49 tff(18667,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18668,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18669,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 49.52/32.49 tff(18670,plain,
% 49.52/32.49 (~v119(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18669, 2050, 18565])).
% 49.52/32.49 tff(18671,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18672,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18673,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18672, 18671])).
% 49.52/32.49 tff(18674,plain,
% 49.52/32.49 (~v120(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18673, 2061, 18565])).
% 49.52/32.49 tff(18675,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18676,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18677,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 49.52/32.49 tff(18678,plain,
% 49.52/32.49 (~v124(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18677, 2083, 18565])).
% 49.52/32.49 tff(18679,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18680,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18681,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 49.52/32.49 tff(18682,plain,
% 49.52/32.49 (~v121(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18681, 2028, 18534])).
% 49.52/32.49 tff(18683,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18684,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18685,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18684, 18683])).
% 49.52/32.49 tff(18686,plain,
% 49.52/32.49 (~v122(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18685, 2039, 18534])).
% 49.52/32.49 tff(18687,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18688,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18689,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 49.52/32.49 tff(18690,plain,
% 49.52/32.49 (~v123(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18689, 2072, 18565])).
% 49.52/32.49 tff(18691,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18692,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18693,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18692, 18691])).
% 49.52/32.49 tff(18694,plain,
% 49.52/32.49 (~v130(constB145, 2)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18693, 2097, 18690, 18686, 18682, 18678, 18674, 18670])).
% 49.52/32.49 tff(18695,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18696,plain,
% 49.52/32.49 ((v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2))) <=> ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18697,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)))),
% 49.52/32.49 inference(monotonicity,[status(thm)],[18696])).
% 49.52/32.49 tff(18698,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 49.52/32.49 inference(transitivity,[status(thm)],[18697, 18695])).
% 49.52/32.49 tff(18699,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18700,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18699, 18698])).
% 49.52/32.49 tff(18701,plain,
% 49.52/32.49 ((~v127(constB145, 2)) | v130(constB145, 2)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18700, 593, 18614])).
% 49.52/32.49 tff(18702,plain,
% 49.52/32.49 (~v127(constB145, 2)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18701, 18694])).
% 49.52/32.49 tff(18703,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18704,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18705,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18704, 18703])).
% 49.52/32.49 tff(18706,plain,
% 49.52/32.49 (v127(constB145, 2) | (~v129(constB146, 2))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18705, 611, 18632])).
% 49.52/32.49 tff(18707,plain,
% 49.52/32.49 (~v129(constB146, 2)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18706, 18702])).
% 49.52/32.49 tff(18708,plain,
% 49.52/32.49 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18709,plain,
% 49.52/32.49 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18710,plain,
% 49.52/32.49 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18709, 18708])).
% 49.52/32.49 tff(18711,plain,
% 49.52/32.49 ((~v90(constB146, 2)) | (~v100(constB146))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18710, 626, 18707])).
% 49.52/32.49 tff(18712,plain,
% 49.52/32.49 (~v90(constB146, 2)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18711, 18666])).
% 49.52/32.49 tff(18713,plain,
% 49.52/32.49 ((~v1(constB147)) <=> (~v1(constB147))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18714,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 49.52/32.49 tff(18715,plain,
% 49.52/32.49 (~v1(constB147)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18714, 18713])).
% 49.52/32.49 tff(18716,plain,
% 49.52/32.49 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18717,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 49.52/32.49 tff(18718,plain,
% 49.52/32.49 (nextState(constB146, constB147)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18717, 18716])).
% 49.52/32.49 tff(18719,plain,
% 49.52/32.49 (((~![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)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18720,plain,
% 49.52/32.49 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18721,plain,
% 49.52/32.49 (((~![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))))),
% 49.52/32.49 inference(monotonicity,[status(thm)],[18720])).
% 49.52/32.49 tff(18722,plain,
% 49.52/32.49 (((~![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)))),
% 49.52/32.49 inference(transitivity,[status(thm)],[18721, 18719])).
% 49.52/32.49 tff(18723,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18724,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18723, 18722])).
% 49.52/32.49 tff(18725,plain,
% 49.52/32.49 (~v101(constB147)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18724, 90, 18718, 18715])).
% 49.52/32.49 tff(18726,plain,
% 49.52/32.49 (((~![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)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18727,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18728,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18727, 18726])).
% 49.52/32.49 tff(18729,plain,
% 49.52/32.49 (v101(constB147) | (~v100(constB147))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18728, 107, 18718])).
% 49.52/32.49 tff(18730,plain,
% 49.52/32.49 (~v100(constB147)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18729, 18725])).
% 49.52/32.49 tff(18731,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18732,plain,
% 49.52/32.49 (((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))) <=> (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18733,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))))),
% 49.52/32.49 inference(monotonicity,[status(thm)],[18732])).
% 49.52/32.49 tff(18734,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 49.52/32.49 inference(transitivity,[status(thm)],[18733, 18731])).
% 49.52/32.49 tff(18735,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18736,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18735, 18734])).
% 49.52/32.49 tff(18737,plain,
% 49.52/32.49 (v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18736, 122, 18718])).
% 49.52/32.49 tff(18738,plain,
% 49.52/32.49 (v90(constB146, 2) | (~v90(constB147, 2))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18737, 18730])).
% 49.52/32.49 tff(18739,plain,
% 49.52/32.49 (~v90(constB147, 2)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18738, 18712])).
% 49.52/32.49 tff(18740,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18741,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18742,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18741, 18740])).
% 49.52/32.49 tff(18743,plain,
% 49.52/32.49 (~v130(constB145, 1)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18742, 2156, 18690, 18686, 18682, 18678, 18674, 18670])).
% 49.52/32.49 tff(18744,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18745,plain,
% 49.52/32.49 ((v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1))) <=> ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18746,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)))),
% 49.52/32.49 inference(monotonicity,[status(thm)],[18745])).
% 49.52/32.49 tff(18747,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 49.52/32.49 inference(transitivity,[status(thm)],[18746, 18744])).
% 49.52/32.49 tff(18748,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18749,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18748, 18747])).
% 49.52/32.49 tff(18750,plain,
% 49.52/32.49 ((~v127(constB145, 1)) | v130(constB145, 1)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18749, 408, 18614])).
% 49.52/32.49 tff(18751,plain,
% 49.52/32.49 (~v127(constB145, 1)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18750, 18743])).
% 49.52/32.49 tff(18752,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18753,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18754,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18753, 18752])).
% 49.52/32.49 tff(18755,plain,
% 49.52/32.49 (v127(constB145, 1) | (~v129(constB146, 1))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18754, 438, 18632])).
% 49.52/32.49 tff(18756,plain,
% 49.52/32.49 (~v129(constB146, 1)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18755, 18751])).
% 49.52/32.49 tff(18757,plain,
% 49.52/32.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18758,plain,
% 49.52/32.49 (((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1)) <=> ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18759,plain,
% 49.52/32.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))))),
% 49.52/32.49 inference(monotonicity,[status(thm)],[18758])).
% 49.52/32.49 tff(18760,plain,
% 49.52/32.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 49.52/32.49 inference(transitivity,[status(thm)],[18759, 18757])).
% 49.52/32.49 tff(18761,plain,
% 49.52/32.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18762,plain,
% 49.52/32.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18761, 18760])).
% 49.52/32.49 tff(18763,plain,
% 49.52/32.49 ((~v90(constB146, 1)) | (~v100(constB146))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18762, 453, 18756])).
% 49.52/32.49 tff(18764,plain,
% 49.52/32.49 (~v90(constB146, 1)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18763, 18666])).
% 49.52/32.49 tff(18765,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18766,plain,
% 49.52/32.49 (((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))) <=> (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18767,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))))),
% 49.52/32.49 inference(monotonicity,[status(thm)],[18766])).
% 49.52/32.49 tff(18768,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 49.52/32.49 inference(transitivity,[status(thm)],[18767, 18765])).
% 49.52/32.49 tff(18769,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18770,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18769, 18768])).
% 49.52/32.49 tff(18771,plain,
% 49.52/32.49 (v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18770, 143, 18718])).
% 49.52/32.49 tff(18772,plain,
% 49.52/32.49 (v90(constB146, 1) | (~v90(constB147, 1))),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18771, 18730])).
% 49.52/32.49 tff(18773,plain,
% 49.52/32.49 (~v90(constB147, 1)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18772, 18764])).
% 49.52/32.49 tff(18774,assumption,(~v90(constB145, 0)), introduced(assumption)).
% 49.52/32.49 tff(18775,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB145)) | v90(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB145)) | v90(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18776,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB145)) | v90(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18777,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB145)) | v90(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18776, 18775])).
% 49.52/32.49 tff(18778,plain,
% 49.52/32.49 (~v124(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18777, 3169, 18774])).
% 49.52/32.49 tff(18779,assumption,(~v130(constB145, 0)), introduced(assumption)).
% 49.52/32.49 tff(18780,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB145)) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB145)) | v130(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18781,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB145)) | v130(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18782,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB145)) | v130(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18781, 18780])).
% 49.52/32.49 tff(18783,plain,
% 49.52/32.49 (~v123(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18782, 1677, 18779])).
% 49.52/32.49 tff(18784,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB145)) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB145)) | v130(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18785,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB145)) | v130(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18786,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB145)) | v130(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 49.52/32.49 tff(18787,plain,
% 49.52/32.49 (~v119(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18786, 501, 18779])).
% 49.52/32.49 tff(18788,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB145)) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB145)) | v130(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18789,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB145)) | v130(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18790,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB145)) | v130(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18789, 18788])).
% 49.52/32.49 tff(18791,plain,
% 49.52/32.49 (~v121(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18790, 1184, 18779])).
% 49.52/32.49 tff(18792,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB145)) | v90(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB145)) | v90(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18793,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB145)) | v90(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18794,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB145)) | v90(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18793, 18792])).
% 49.52/32.49 tff(18795,plain,
% 49.52/32.49 (~v122(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18794, 7927, 18774])).
% 49.52/32.49 tff(18796,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB145)) | v90(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB145)) | v90(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18797,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB145)) | v90(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18798,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB145)) | v90(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18797, 18796])).
% 49.52/32.49 tff(18799,plain,
% 49.52/32.49 (~v120(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18798, 7947, 18774])).
% 49.52/32.49 tff(18800,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18801,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18802,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18801, 18800])).
% 49.52/32.49 tff(18803,plain,
% 49.52/32.49 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18802, 2200, 18779])).
% 49.52/32.49 tff(18804,plain,
% 49.52/32.49 ($false),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18803, 18799, 18795, 18791, 18787, 18783, 18778])).
% 49.52/32.49 tff(18805,plain,(v90(constB145, 0) | v130(constB145, 0)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.49 tff(18806,plain,
% 49.52/32.49 (v130(constB145, 0)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18805, 18599])).
% 49.52/32.49 tff(18807,plain,
% 49.52/32.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18808,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.49 tff(18809,plain,
% 49.52/32.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0)),
% 49.52/32.49 inference(modus_ponens,[status(thm)],[18808, 18807])).
% 49.52/32.49 tff(18810,plain,
% 49.52/32.49 ((~v130(constB145, 0)) | v127(constB145, 0)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18809, 515, 18614])).
% 49.52/32.49 tff(18811,plain,
% 49.52/32.49 (v127(constB145, 0)),
% 49.52/32.49 inference(unit_resolution,[status(thm)],[18810, 18806])).
% 49.52/32.49 tff(18812,plain,
% 49.52/32.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 49.52/32.49 inference(rewrite,[status(thm)],[])).
% 49.52/32.49 tff(18813,plain,
% 49.52/32.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 49.52/32.49 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18814,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 49.52/32.50 tff(18815,plain,
% 49.52/32.50 ((~v127(constB145, 0)) | v129(constB146, 0)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18814, 530, 18632])).
% 49.52/32.50 tff(18816,plain,
% 49.52/32.50 (v129(constB146, 0)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18815, 18811])).
% 49.52/32.50 tff(18817,plain,
% 49.52/32.50 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18818,plain,
% 49.52/32.50 ((v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0))) <=> (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18819,plain,
% 49.52/32.50 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18818])).
% 49.52/32.50 tff(18820,plain,
% 49.52/32.50 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18819, 18817])).
% 49.52/32.50 tff(18821,plain,
% 49.52/32.50 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18822,plain,
% 49.52/32.50 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 49.52/32.50 tff(18823,plain,
% 49.52/32.50 (v90(constB146, 0) | (~v100(constB146))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18822, 545, 18816])).
% 49.52/32.50 tff(18824,plain,
% 49.52/32.50 (v90(constB146, 0)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18823, 18666])).
% 49.52/32.50 tff(18825,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18826,plain,
% 49.52/32.50 (((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)) <=> ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18827,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18826])).
% 49.52/32.50 tff(18828,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18827, 18825])).
% 49.52/32.50 tff(18829,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18830,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18829, 18828])).
% 49.52/32.50 tff(18831,plain,
% 49.52/32.50 ((~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18830, 563, 18718])).
% 49.52/32.50 tff(18832,plain,
% 49.52/32.50 ((~v90(constB146, 0)) | v90(constB147, 0)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18831, 18730])).
% 49.52/32.50 tff(18833,plain,
% 49.52/32.50 (v90(constB147, 0)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18832, 18824])).
% 49.52/32.50 tff(18834,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18835,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18836,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18835, 18834])).
% 49.52/32.50 tff(18837,plain,
% 49.52/32.50 (v120(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18836, 651, 18833, 18773, 18739])).
% 49.52/32.50 tff(18838,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18839,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18840,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18839, 18838])).
% 49.52/32.50 tff(18841,plain,
% 49.52/32.50 (v118(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18840, 665, 18837])).
% 49.52/32.50 tff(18842,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18843,plain,
% 49.52/32.50 (((~v118(constB147)) | v117(constB147)) <=> (v117(constB147) | (~v118(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18844,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18843])).
% 49.52/32.50 tff(18845,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18844, 18842])).
% 49.52/32.50 tff(18846,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18847,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18846, 18845])).
% 49.52/32.50 tff(18848,plain,
% 49.52/32.50 (v117(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18847, 210, 18841])).
% 49.52/32.50 tff(18849,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18850,plain,
% 49.52/32.50 (((~v117(constB147)) | v116(constB147)) <=> (v116(constB147) | (~v117(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18851,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18850])).
% 49.52/32.50 tff(18852,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18851, 18849])).
% 49.52/32.50 tff(18853,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18854,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18853, 18852])).
% 49.52/32.50 tff(18855,plain,
% 49.52/32.50 (v116(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18854, 224, 18848])).
% 49.52/32.50 tff(18856,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18857,plain,
% 49.52/32.50 (((~v116(constB147)) | v115(constB147)) <=> (v115(constB147) | (~v116(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18858,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18857])).
% 49.52/32.50 tff(18859,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18858, 18856])).
% 49.52/32.50 tff(18860,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18861,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18860, 18859])).
% 49.52/32.50 tff(18862,plain,
% 49.52/32.50 (v115(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18861, 238, 18855])).
% 49.52/32.50 tff(18863,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18864,plain,
% 49.52/32.50 (((~v115(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v115(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18865,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18864])).
% 49.52/32.50 tff(18866,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18865, 18863])).
% 49.52/32.50 tff(18867,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18868,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18867, 18866])).
% 49.52/32.50 tff(18869,plain,
% 49.52/32.50 (v114(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18868, 252, 18862])).
% 49.52/32.50 tff(18870,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB147)) | v113(constB147))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18871,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18872,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB147)) | v113(constB147)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 49.52/32.50 tff(18873,plain,
% 49.52/32.50 (v113(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18872, 266, 18869])).
% 49.52/32.50 tff(18874,assumption,(v26(constB147)), introduced(assumption)).
% 49.52/32.50 tff(18875,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18876,plain,
% 49.52/32.50 ($false),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18875, 43, 18874])).
% 49.52/32.50 tff(18877,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.50 tff(18878,plain,
% 49.52/32.50 (((~![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))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18879,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18880,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18879, 18878])).
% 49.52/32.50 tff(18881,plain,
% 49.52/32.50 ((~v113(constB147)) | v112(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18880, 280, 18877])).
% 49.52/32.50 tff(18882,plain,
% 49.52/32.50 (v112(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18881, 18873])).
% 49.52/32.50 tff(18883,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18884,plain,
% 49.52/32.50 (((~v112(constB147)) | v108(constB147)) <=> (v108(constB147) | (~v112(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18885,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18884])).
% 49.52/32.50 tff(18886,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18885, 18883])).
% 49.52/32.50 tff(18887,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18888,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18887, 18886])).
% 49.52/32.50 tff(18889,plain,
% 49.52/32.50 (v108(constB147)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18888, 292, 18882])).
% 49.52/32.50 tff(18890,plain,
% 49.52/32.50 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18891,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 49.52/32.50 tff(18892,plain,
% 49.52/32.50 (nextState(constB147, constB148)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18891, 18890])).
% 49.52/32.50 tff(18893,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18894,plain,
% 49.52/32.50 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18895,plain,
% 49.52/32.50 (((~![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))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18894])).
% 49.52/32.50 tff(18896,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18895, 18893])).
% 49.52/32.50 tff(18897,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18898,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18897, 18896])).
% 49.52/32.50 tff(18899,plain,
% 49.52/32.50 (v110(constB148) | (~v108(constB147))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18898, 312, 18892])).
% 49.52/32.50 tff(18900,plain,
% 49.52/32.50 (v110(constB148)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18899, 18889])).
% 49.52/32.50 tff(18901,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18902,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18903,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18902, 18901])).
% 49.52/32.50 tff(18904,plain,
% 49.52/32.50 (~v104(constB148)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18903, 330, 18892, 18715])).
% 49.52/32.50 tff(18905,plain,
% 49.52/32.50 (((~![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)) | v102(constB148) | v104(constB148))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18906,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18907,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 49.52/32.50 tff(18908,plain,
% 49.52/32.50 (v102(constB148) | v104(constB148)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18907, 344, 18892])).
% 49.52/32.50 tff(18909,plain,
% 49.52/32.50 (v102(constB148)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18908, 18904])).
% 49.52/32.50 tff(18910,plain,
% 49.52/32.50 (v1(constB148) <=> v1(constB148)),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18911,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 49.52/32.50 tff(18912,plain,
% 49.52/32.50 (v1(constB148)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 49.52/32.50 tff(18913,plain,
% 49.52/32.50 (((~![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)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18914,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18915,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18914, 18913])).
% 49.52/32.50 tff(18916,plain,
% 49.52/32.50 (v101(constB148) | (~v102(constB148))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18915, 362, 18892, 18912])).
% 49.52/32.50 tff(18917,plain,
% 49.52/32.50 (v101(constB148)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18916, 18909])).
% 49.52/32.50 tff(18918,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18919,plain,
% 49.52/32.50 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18920,plain,
% 49.52/32.50 (((~![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))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18919])).
% 49.52/32.50 tff(18921,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18920, 18918])).
% 49.52/32.50 tff(18922,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18923,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18922, 18921])).
% 49.52/32.50 tff(18924,plain,
% 49.52/32.50 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18923, 377, 18892])).
% 49.52/32.50 tff(18925,plain,
% 49.52/32.50 (v100(constB148) | (~v110(constB148))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18924, 18917])).
% 49.52/32.50 tff(18926,plain,
% 49.52/32.50 (v100(constB148)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18925, 18900])).
% 49.52/32.50 tff(18927,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18928,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18929,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18928, 18927])).
% 49.52/32.50 tff(18930,plain,
% 49.52/32.50 (~v130(constB147, 2)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18929, 767, 18837])).
% 49.52/32.50 tff(18931,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18932,plain,
% 49.52/32.50 ((v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2))) <=> ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18933,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18932])).
% 49.52/32.50 tff(18934,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18933, 18931])).
% 49.52/32.50 tff(18935,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18936,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18935, 18934])).
% 49.52/32.50 tff(18937,plain,
% 49.52/32.50 ((~v127(constB147, 2)) | v130(constB147, 2)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18936, 593, 18877])).
% 49.52/32.50 tff(18938,plain,
% 49.52/32.50 (~v127(constB147, 2)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18937, 18930])).
% 49.52/32.50 tff(18939,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18940,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18941,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 49.52/32.50 tff(18942,plain,
% 49.52/32.50 (v127(constB147, 2) | (~v129(constB148, 2))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18941, 611, 18892])).
% 49.52/32.50 tff(18943,plain,
% 49.52/32.50 (~v129(constB148, 2)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18942, 18938])).
% 49.52/32.50 tff(18944,plain,
% 49.52/32.50 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18945,plain,
% 49.52/32.50 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18946,plain,
% 49.52/32.50 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18945, 18944])).
% 49.52/32.50 tff(18947,plain,
% 49.52/32.50 ((~v90(constB148, 2)) | (~v100(constB148))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18946, 626, 18943])).
% 49.52/32.50 tff(18948,plain,
% 49.52/32.50 (~v90(constB148, 2)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18947, 18926])).
% 49.52/32.50 tff(18949,plain,
% 49.52/32.50 ((~v1(constB149)) <=> (~v1(constB149))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18950,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 49.52/32.50 tff(18951,plain,
% 49.52/32.50 (~v1(constB149)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18950, 18949])).
% 49.52/32.50 tff(18952,plain,
% 49.52/32.50 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18953,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 49.52/32.50 tff(18954,plain,
% 49.52/32.50 (nextState(constB148, constB149)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18953, 18952])).
% 49.52/32.50 tff(18955,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18956,plain,
% 49.52/32.50 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18957,plain,
% 49.52/32.50 (((~![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))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18956])).
% 49.52/32.50 tff(18958,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18957, 18955])).
% 49.52/32.50 tff(18959,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18960,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18959, 18958])).
% 49.52/32.50 tff(18961,plain,
% 49.52/32.50 (~v101(constB149)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18960, 90, 18954, 18951])).
% 49.52/32.50 tff(18962,plain,
% 49.52/32.50 (((~![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)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18963,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18964,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 49.52/32.50 tff(18965,plain,
% 49.52/32.50 (v101(constB149) | (~v100(constB149))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18964, 107, 18954])).
% 49.52/32.50 tff(18966,plain,
% 49.52/32.50 (~v100(constB149)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18965, 18961])).
% 49.52/32.50 tff(18967,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18968,plain,
% 49.52/32.50 (((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))) <=> (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18969,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))))),
% 49.52/32.50 inference(monotonicity,[status(thm)],[18968])).
% 49.52/32.50 tff(18970,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 49.52/32.50 inference(transitivity,[status(thm)],[18969, 18967])).
% 49.52/32.50 tff(18971,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18972,plain,
% 49.52/32.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18971, 18970])).
% 49.52/32.50 tff(18973,plain,
% 49.52/32.50 (v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18972, 122, 18954])).
% 49.52/32.50 tff(18974,plain,
% 49.52/32.50 (v90(constB148, 2) | (~v90(constB149, 2))),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18973, 18966])).
% 49.52/32.50 tff(18975,plain,
% 49.52/32.50 (~v90(constB149, 2)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18974, 18948])).
% 49.52/32.50 tff(18976,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18977,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18978,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 49.52/32.50 tff(18979,plain,
% 49.52/32.50 (v130(constB147, 1)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18978, 838, 18837])).
% 49.52/32.50 tff(18980,plain,
% 49.52/32.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 49.52/32.50 inference(rewrite,[status(thm)],[])).
% 49.52/32.50 tff(18981,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 49.52/32.50 inference(quant_inst,[status(thm)],[])).
% 49.52/32.50 tff(18982,plain,
% 49.52/32.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1)),
% 49.52/32.50 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 49.52/32.50 tff(18983,plain,
% 49.52/32.50 ((~v130(constB147, 1)) | v127(constB147, 1)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18982, 852, 18877])).
% 49.52/32.50 tff(18984,plain,
% 49.52/32.50 (v127(constB147, 1)),
% 49.52/32.50 inference(unit_resolution,[status(thm)],[18983, 18979])).
% 49.52/32.50 tff(18985,plain,
% 49.52/32.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(18986,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(18987,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1)),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[18986, 18985])).
% 49.52/32.51 tff(18988,plain,
% 49.52/32.51 ((~v127(constB147, 1)) | v129(constB148, 1)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[18987, 867, 18892])).
% 49.52/32.51 tff(18989,plain,
% 49.52/32.51 (v129(constB148, 1)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[18988, 18984])).
% 49.52/32.51 tff(18990,plain,
% 49.52/32.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(18991,plain,
% 49.52/32.51 ((v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1))) <=> (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(18992,plain,
% 49.52/32.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[18991])).
% 49.52/32.51 tff(18993,plain,
% 49.52/32.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[18992, 18990])).
% 49.52/32.51 tff(18994,plain,
% 49.52/32.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(18995,plain,
% 49.52/32.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[18994, 18993])).
% 49.52/32.51 tff(18996,plain,
% 49.52/32.51 (v90(constB148, 1) | (~v100(constB148))),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[18995, 882, 18989])).
% 49.52/32.51 tff(18997,plain,
% 49.52/32.51 (v90(constB148, 1)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[18996, 18926])).
% 49.52/32.51 tff(18998,plain,
% 49.52/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(18999,plain,
% 49.52/32.51 (((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)) <=> ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19000,plain,
% 49.52/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[18999])).
% 49.52/32.51 tff(19001,plain,
% 49.52/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19000, 18998])).
% 49.52/32.51 tff(19002,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19003,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19002, 19001])).
% 49.52/32.51 tff(19004,plain,
% 49.52/32.51 ((~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19003, 900, 18954])).
% 49.52/32.51 tff(19005,plain,
% 49.52/32.51 ((~v90(constB148, 1)) | v90(constB149, 1)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19004, 18966])).
% 49.52/32.51 tff(19006,plain,
% 49.52/32.51 (v90(constB149, 1)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19005, 18997])).
% 49.52/32.51 tff(19007,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19008,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19009,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19008, 19007])).
% 49.52/32.51 tff(19010,plain,
% 49.52/32.51 (~v130(constB147, 0)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19009, 916, 18837])).
% 49.52/32.51 tff(19011,assumption,(v127(constB147, 0)), introduced(assumption)).
% 49.52/32.51 tff(19012,assumption,(~v130(constB147, 0)), introduced(assumption)).
% 49.52/32.51 tff(19013,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19014,plain,
% 49.52/32.51 ((v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0))) <=> ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19015,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19014])).
% 49.52/32.51 tff(19016,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19015, 19013])).
% 49.52/32.51 tff(19017,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19018,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19017, 19016])).
% 49.52/32.51 tff(19019,plain,
% 49.52/32.51 ((~v127(constB147, 0)) | v26(constB147)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19018, 930, 19012])).
% 49.52/32.51 tff(19020,plain,
% 49.52/32.51 (v26(constB147)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19019, 19011])).
% 49.52/32.51 tff(19021,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB147)) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB147)) | (~v127(constB147, 0)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19022,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB147)) | (~v127(constB147, 0)))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19023,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB147)) | (~v127(constB147, 0))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19022, 19021])).
% 49.52/32.51 tff(19024,plain,
% 49.52/32.51 ($false),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19023, 3320, 19011, 19020])).
% 49.52/32.51 tff(19025,plain,((~v127(constB147, 0)) | v130(constB147, 0)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.51 tff(19026,plain,
% 49.52/32.51 (~v127(constB147, 0)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19025, 19010])).
% 49.52/32.51 tff(19027,plain,
% 49.52/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19028,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19029,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19028, 19027])).
% 49.52/32.51 tff(19030,plain,
% 49.52/32.51 (v127(constB147, 0) | (~v129(constB148, 0))),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19029, 948, 18892])).
% 49.52/32.51 tff(19031,plain,
% 49.52/32.51 (~v129(constB148, 0)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19030, 19026])).
% 49.52/32.51 tff(19032,plain,
% 49.52/32.51 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19033,plain,
% 49.52/32.51 (((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0)) <=> ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19034,plain,
% 49.52/32.51 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19033])).
% 49.52/32.51 tff(19035,plain,
% 49.52/32.51 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19034, 19032])).
% 49.52/32.51 tff(19036,plain,
% 49.52/32.51 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19037,plain,
% 49.52/32.51 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 49.52/32.51 tff(19038,plain,
% 49.52/32.51 ((~v90(constB148, 0)) | (~v100(constB148))),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19037, 963, 19031])).
% 49.52/32.51 tff(19039,plain,
% 49.52/32.51 (~v90(constB148, 0)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19038, 18926])).
% 49.52/32.51 tff(19040,plain,
% 49.52/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19041,plain,
% 49.52/32.51 (((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))) <=> (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19042,plain,
% 49.52/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19041])).
% 49.52/32.51 tff(19043,plain,
% 49.52/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19042, 19040])).
% 49.52/32.51 tff(19044,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19045,plain,
% 49.52/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19044, 19043])).
% 49.52/32.51 tff(19046,plain,
% 49.52/32.51 (v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19045, 164, 18954])).
% 49.52/32.51 tff(19047,plain,
% 49.52/32.51 (v90(constB148, 0) | (~v90(constB149, 0))),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19046, 18966])).
% 49.52/32.51 tff(19048,plain,
% 49.52/32.51 (~v90(constB149, 0)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19047, 19039])).
% 49.52/32.51 tff(19049,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19050,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19051,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149)),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 49.52/32.51 tff(19052,plain,
% 49.52/32.51 (v121(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19051, 990, 19048, 19006, 18975])).
% 49.52/32.51 tff(19053,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB149)) | v117(constB149))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19054,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19055,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB149)) | v117(constB149)),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 49.52/32.51 tff(19056,plain,
% 49.52/32.51 (v117(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19055, 1001, 19052])).
% 49.52/32.51 tff(19057,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19058,plain,
% 49.52/32.51 (((~v117(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v117(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19059,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19058])).
% 49.52/32.51 tff(19060,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19059, 19057])).
% 49.52/32.51 tff(19061,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19062,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19061, 19060])).
% 49.52/32.51 tff(19063,plain,
% 49.52/32.51 (v116(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19062, 224, 19056])).
% 49.52/32.51 tff(19064,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19065,plain,
% 49.52/32.51 (((~v116(constB149)) | v115(constB149)) <=> (v115(constB149) | (~v116(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19066,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19065])).
% 49.52/32.51 tff(19067,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19066, 19064])).
% 49.52/32.51 tff(19068,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19069,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 49.52/32.51 tff(19070,plain,
% 49.52/32.51 (v115(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19069, 238, 19063])).
% 49.52/32.51 tff(19071,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19072,plain,
% 49.52/32.51 (((~v115(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v115(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19073,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19072])).
% 49.52/32.51 tff(19074,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19073, 19071])).
% 49.52/32.51 tff(19075,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19076,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19075, 19074])).
% 49.52/32.51 tff(19077,plain,
% 49.52/32.51 (v114(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19076, 252, 19070])).
% 49.52/32.51 tff(19078,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19079,plain,
% 49.52/32.51 (((~v114(constB149)) | v113(constB149)) <=> (v113(constB149) | (~v114(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19080,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19079])).
% 49.52/32.51 tff(19081,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19080, 19078])).
% 49.52/32.51 tff(19082,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19083,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19082, 19081])).
% 49.52/32.51 tff(19084,plain,
% 49.52/32.51 (v113(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19083, 266, 19077])).
% 49.52/32.51 tff(19085,assumption,(v26(constB149)), introduced(assumption)).
% 49.52/32.51 tff(19086,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19087,plain,
% 49.52/32.51 ($false),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19086, 43, 19085])).
% 49.52/32.51 tff(19088,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 49.52/32.51 tff(19089,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19090,plain,
% 49.52/32.51 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19091,plain,
% 49.52/32.51 (((~![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) | v112(constB149) | (~v113(constB149))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19090])).
% 49.52/32.51 tff(19092,plain,
% 49.52/32.51 (((~![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) | v112(constB149) | (~v113(constB149)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19091, 19089])).
% 49.52/32.51 tff(19093,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19094,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19093, 19092])).
% 49.52/32.51 tff(19095,plain,
% 49.52/32.51 (v112(constB149) | (~v113(constB149))),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19094, 280, 19088])).
% 49.52/32.51 tff(19096,plain,
% 49.52/32.51 (v112(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19095, 19084])).
% 49.52/32.51 tff(19097,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19098,plain,
% 49.52/32.51 (((~v112(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v112(constB149)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19099,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149))))),
% 49.52/32.51 inference(monotonicity,[status(thm)],[19098])).
% 49.52/32.51 tff(19100,plain,
% 49.52/32.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 49.52/32.51 inference(transitivity,[status(thm)],[19099, 19097])).
% 49.52/32.51 tff(19101,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))),
% 49.52/32.51 inference(quant_inst,[status(thm)],[])).
% 49.52/32.51 tff(19102,plain,
% 49.52/32.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149))),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19101, 19100])).
% 49.52/32.51 tff(19103,plain,
% 49.52/32.51 (v108(constB149)),
% 49.52/32.51 inference(unit_resolution,[status(thm)],[19102, 292, 19096])).
% 49.52/32.51 tff(19104,plain,
% 49.52/32.51 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19105,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 49.52/32.51 tff(19106,plain,
% 49.52/32.51 (nextState(constB149, constB150)),
% 49.52/32.51 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 49.52/32.51 tff(19107,plain,
% 49.52/32.51 (((~![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)))),
% 49.52/32.51 inference(rewrite,[status(thm)],[])).
% 49.52/32.51 tff(19108,plain,
% 49.52/32.51 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19109,plain,
% 49.59/32.51 (((~![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))))),
% 49.59/32.51 inference(monotonicity,[status(thm)],[19108])).
% 49.59/32.51 tff(19110,plain,
% 49.59/32.51 (((~![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)))),
% 49.59/32.51 inference(transitivity,[status(thm)],[19109, 19107])).
% 49.59/32.51 tff(19111,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 49.59/32.51 inference(quant_inst,[status(thm)],[])).
% 49.59/32.51 tff(19112,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19111, 19110])).
% 49.59/32.51 tff(19113,plain,
% 49.59/32.51 (v110(constB150) | (~v108(constB149))),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19112, 312, 19106])).
% 49.59/32.51 tff(19114,plain,
% 49.59/32.51 (v110(constB150)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19113, 19103])).
% 49.59/32.51 tff(19115,plain,
% 49.59/32.51 (((~![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)))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19116,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 49.59/32.51 inference(quant_inst,[status(thm)],[])).
% 49.59/32.51 tff(19117,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 49.59/32.51 tff(19118,plain,
% 49.59/32.51 (~v104(constB150)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19117, 330, 19106, 18951])).
% 49.59/32.51 tff(19119,plain,
% 49.59/32.51 (((~![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)) | v102(constB150) | v104(constB150))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19120,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 49.59/32.51 inference(quant_inst,[status(thm)],[])).
% 49.59/32.51 tff(19121,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 49.59/32.51 tff(19122,plain,
% 49.59/32.51 (v102(constB150) | v104(constB150)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19121, 344, 19106])).
% 49.59/32.51 tff(19123,plain,
% 49.59/32.51 (v102(constB150)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19122, 19118])).
% 49.59/32.51 tff(19124,plain,
% 49.59/32.51 (v1(constB150) <=> v1(constB150)),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19125,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 49.59/32.51 tff(19126,plain,
% 49.59/32.51 (v1(constB150)),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19125, 19124])).
% 49.59/32.51 tff(19127,plain,
% 49.59/32.51 (((~![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)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19128,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 49.59/32.51 inference(quant_inst,[status(thm)],[])).
% 49.59/32.51 tff(19129,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19128, 19127])).
% 49.59/32.51 tff(19130,plain,
% 49.59/32.51 (v101(constB150) | (~v102(constB150))),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19129, 362, 19106, 19126])).
% 49.59/32.51 tff(19131,plain,
% 49.59/32.51 (v101(constB150)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19130, 19123])).
% 49.59/32.51 tff(19132,plain,
% 49.59/32.51 (((~![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)))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19133,plain,
% 49.59/32.51 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19134,plain,
% 49.59/32.51 (((~![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))))),
% 49.59/32.51 inference(monotonicity,[status(thm)],[19133])).
% 49.59/32.51 tff(19135,plain,
% 49.59/32.51 (((~![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)))),
% 49.59/32.51 inference(transitivity,[status(thm)],[19134, 19132])).
% 49.59/32.51 tff(19136,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 49.59/32.51 inference(quant_inst,[status(thm)],[])).
% 49.59/32.51 tff(19137,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 49.59/32.51 tff(19138,plain,
% 49.59/32.51 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19137, 377, 19106])).
% 49.59/32.51 tff(19139,plain,
% 49.59/32.51 (v100(constB150) | (~v110(constB150))),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19138, 19131])).
% 49.59/32.51 tff(19140,plain,
% 49.59/32.51 (v100(constB150)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19139, 19114])).
% 49.59/32.51 tff(19141,plain,
% 49.59/32.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2)))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19142,plain,
% 49.59/32.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))),
% 49.59/32.51 inference(quant_inst,[status(thm)],[])).
% 49.59/32.51 tff(19143,plain,
% 49.59/32.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2))),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 49.59/32.51 tff(19144,plain,
% 49.59/32.51 (~v130(constB149, 2)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19143, 1090, 19052])).
% 49.59/32.51 tff(19145,plain,
% 49.59/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19146,plain,
% 49.59/32.51 ((v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2))) <=> ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19147,plain,
% 49.59/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)))),
% 49.59/32.51 inference(monotonicity,[status(thm)],[19146])).
% 49.59/32.51 tff(19148,plain,
% 49.59/32.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 49.59/32.51 inference(transitivity,[status(thm)],[19147, 19145])).
% 49.59/32.51 tff(19149,plain,
% 49.59/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))),
% 49.59/32.51 inference(quant_inst,[status(thm)],[])).
% 49.59/32.51 tff(19150,plain,
% 49.59/32.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)),
% 49.59/32.51 inference(modus_ponens,[status(thm)],[19149, 19148])).
% 49.59/32.51 tff(19151,plain,
% 49.59/32.51 ((~v127(constB149, 2)) | v130(constB149, 2)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19150, 593, 19088])).
% 49.59/32.51 tff(19152,plain,
% 49.59/32.51 (~v127(constB149, 2)),
% 49.59/32.51 inference(unit_resolution,[status(thm)],[19151, 19144])).
% 49.59/32.51 tff(19153,plain,
% 49.59/32.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 49.59/32.51 inference(rewrite,[status(thm)],[])).
% 49.59/32.51 tff(19154,plain,
% 49.59/32.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19155,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19154, 19153])).
% 49.59/32.52 tff(19156,plain,
% 49.59/32.52 (v127(constB149, 2) | (~v129(constB150, 2))),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19155, 611, 19106])).
% 49.59/32.52 tff(19157,plain,
% 49.59/32.52 (~v129(constB150, 2)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19156, 19152])).
% 49.59/32.52 tff(19158,plain,
% 49.59/32.52 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19159,plain,
% 49.59/32.52 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19160,plain,
% 49.59/32.52 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 49.59/32.52 tff(19161,plain,
% 49.59/32.52 ((~v90(constB150, 2)) | (~v100(constB150))),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19160, 626, 19157])).
% 49.59/32.52 tff(19162,plain,
% 49.59/32.52 (~v90(constB150, 2)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19161, 19140])).
% 49.59/32.52 tff(19163,plain,
% 49.59/32.52 ((~v1(constB151)) <=> (~v1(constB151))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19164,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 49.59/32.52 tff(19165,plain,
% 49.59/32.52 (~v1(constB151)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19164, 19163])).
% 49.59/32.52 tff(19166,plain,
% 49.59/32.52 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19167,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 49.59/32.52 tff(19168,plain,
% 49.59/32.52 (nextState(constB150, constB151)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19167, 19166])).
% 49.59/32.52 tff(19169,plain,
% 49.59/32.52 (((~![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)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19170,plain,
% 49.59/32.52 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19171,plain,
% 49.59/32.52 (((~![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))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19170])).
% 49.59/32.52 tff(19172,plain,
% 49.59/32.52 (((~![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)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19171, 19169])).
% 49.59/32.52 tff(19173,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19174,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19173, 19172])).
% 49.59/32.52 tff(19175,plain,
% 49.59/32.52 (~v101(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19174, 90, 19168, 19165])).
% 49.59/32.52 tff(19176,plain,
% 49.59/32.52 (((~![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)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19177,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19178,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19177, 19176])).
% 49.59/32.52 tff(19179,plain,
% 49.59/32.52 (v101(constB151) | (~v100(constB151))),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19178, 107, 19168])).
% 49.59/32.52 tff(19180,plain,
% 49.59/32.52 (~v100(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19179, 19175])).
% 49.59/32.52 tff(19181,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19182,plain,
% 49.59/32.52 (((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))) <=> (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19183,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19182])).
% 49.59/32.52 tff(19184,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19183, 19181])).
% 49.59/32.52 tff(19185,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19186,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19185, 19184])).
% 49.59/32.52 tff(19187,plain,
% 49.59/32.52 (v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19186, 122, 19168])).
% 49.59/32.52 tff(19188,plain,
% 49.59/32.52 (v90(constB150, 2) | (~v90(constB151, 2))),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19187, 19180])).
% 49.59/32.52 tff(19189,plain,
% 49.59/32.52 (~v90(constB151, 2)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19188, 19162])).
% 49.59/32.52 tff(19190,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19191,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19192,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19191, 19190])).
% 49.59/32.52 tff(19193,plain,
% 49.59/32.52 (v130(constB149, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19192, 1146, 19052])).
% 49.59/32.52 tff(19194,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19195,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19196,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 49.59/32.52 tff(19197,plain,
% 49.59/32.52 ((~v130(constB149, 1)) | v127(constB149, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19196, 852, 19088])).
% 49.59/32.52 tff(19198,plain,
% 49.59/32.52 (v127(constB149, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19197, 19193])).
% 49.59/32.52 tff(19199,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19200,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19201,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19200, 19199])).
% 49.59/32.52 tff(19202,plain,
% 49.59/32.52 ((~v127(constB149, 1)) | v129(constB150, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19201, 867, 19106])).
% 49.59/32.52 tff(19203,plain,
% 49.59/32.52 (v129(constB150, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19202, 19198])).
% 49.59/32.52 tff(19204,plain,
% 49.59/32.52 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19205,plain,
% 49.59/32.52 ((v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1))) <=> (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19206,plain,
% 49.59/32.52 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19205])).
% 49.59/32.52 tff(19207,plain,
% 49.59/32.52 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19206, 19204])).
% 49.59/32.52 tff(19208,plain,
% 49.59/32.52 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19209,plain,
% 49.59/32.52 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19208, 19207])).
% 49.59/32.52 tff(19210,plain,
% 49.59/32.52 (v90(constB150, 1) | (~v100(constB150))),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19209, 882, 19203])).
% 49.59/32.52 tff(19211,plain,
% 49.59/32.52 (v90(constB150, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19210, 19140])).
% 49.59/32.52 tff(19212,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19213,plain,
% 49.59/32.52 (((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)) <=> ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19214,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19213])).
% 49.59/32.52 tff(19215,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19214, 19212])).
% 49.59/32.52 tff(19216,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19217,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19216, 19215])).
% 49.59/32.52 tff(19218,plain,
% 49.59/32.52 ((~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19217, 900, 19168])).
% 49.59/32.52 tff(19219,plain,
% 49.59/32.52 ((~v90(constB150, 1)) | v90(constB151, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19218, 19180])).
% 49.59/32.52 tff(19220,plain,
% 49.59/32.52 (v90(constB151, 1)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19219, 19211])).
% 49.59/32.52 tff(19221,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19222,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19223,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19222, 19221])).
% 49.59/32.52 tff(19224,plain,
% 49.59/32.52 (v130(constB149, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19223, 1184, 19052])).
% 49.59/32.52 tff(19225,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19226,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19227,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 49.59/32.52 tff(19228,plain,
% 49.59/32.52 ((~v130(constB149, 0)) | v127(constB149, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19227, 515, 19088])).
% 49.59/32.52 tff(19229,plain,
% 49.59/32.52 (v127(constB149, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19228, 19224])).
% 49.59/32.52 tff(19230,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19231,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19232,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 49.59/32.52 tff(19233,plain,
% 49.59/32.52 ((~v127(constB149, 0)) | v129(constB150, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19232, 530, 19106])).
% 49.59/32.52 tff(19234,plain,
% 49.59/32.52 (v129(constB150, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19233, 19229])).
% 49.59/32.52 tff(19235,plain,
% 49.59/32.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19236,plain,
% 49.59/32.52 ((v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0))) <=> (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19237,plain,
% 49.59/32.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19236])).
% 49.59/32.52 tff(19238,plain,
% 49.59/32.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19237, 19235])).
% 49.59/32.52 tff(19239,plain,
% 49.59/32.52 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19240,plain,
% 49.59/32.52 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19239, 19238])).
% 49.59/32.52 tff(19241,plain,
% 49.59/32.52 (v90(constB150, 0) | (~v100(constB150))),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19240, 545, 19234])).
% 49.59/32.52 tff(19242,plain,
% 49.59/32.52 (v90(constB150, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19241, 19140])).
% 49.59/32.52 tff(19243,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19244,plain,
% 49.59/32.52 (((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)) <=> ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19245,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19244])).
% 49.59/32.52 tff(19246,plain,
% 49.59/32.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19245, 19243])).
% 49.59/32.52 tff(19247,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19248,plain,
% 49.59/32.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 49.59/32.52 tff(19249,plain,
% 49.59/32.52 ((~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19248, 563, 19168])).
% 49.59/32.52 tff(19250,plain,
% 49.59/32.52 ((~v90(constB150, 0)) | v90(constB151, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19249, 19180])).
% 49.59/32.52 tff(19251,plain,
% 49.59/32.52 (v90(constB151, 0)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19250, 19242])).
% 49.59/32.52 tff(19252,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19253,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19254,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19253, 19252])).
% 49.59/32.52 tff(19255,plain,
% 49.59/32.52 (v122(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19254, 1225, 19251, 19220, 19189])).
% 49.59/32.52 tff(19256,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19257,plain,
% 49.59/32.52 (((~v122(constB151)) | v116(constB151)) <=> (v116(constB151) | (~v122(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19258,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v122(constB151))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19257])).
% 49.59/32.52 tff(19259,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19258, 19256])).
% 49.59/32.52 tff(19260,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19261,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19260, 19259])).
% 49.59/32.52 tff(19262,plain,
% 49.59/32.52 (v116(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19261, 1236, 19255])).
% 49.59/32.52 tff(19263,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19264,plain,
% 49.59/32.52 (((~v116(constB151)) | v115(constB151)) <=> (v115(constB151) | (~v116(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19265,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19264])).
% 49.59/32.52 tff(19266,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19265, 19263])).
% 49.59/32.52 tff(19267,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19268,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19267, 19266])).
% 49.59/32.52 tff(19269,plain,
% 49.59/32.52 (v115(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19268, 238, 19262])).
% 49.59/32.52 tff(19270,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19271,plain,
% 49.59/32.52 (((~v115(constB151)) | v114(constB151)) <=> (v114(constB151) | (~v115(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19272,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19271])).
% 49.59/32.52 tff(19273,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19272, 19270])).
% 49.59/32.52 tff(19274,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19275,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 49.59/32.52 tff(19276,plain,
% 49.59/32.52 (v114(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19275, 252, 19269])).
% 49.59/32.52 tff(19277,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19278,plain,
% 49.59/32.52 (((~v114(constB151)) | v113(constB151)) <=> (v113(constB151) | (~v114(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19279,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19278])).
% 49.59/32.52 tff(19280,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19279, 19277])).
% 49.59/32.52 tff(19281,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19282,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 49.59/32.52 tff(19283,plain,
% 49.59/32.52 (v113(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19282, 266, 19276])).
% 49.59/32.52 tff(19284,assumption,(~v108(constB151)), introduced(assumption)).
% 49.59/32.52 tff(19285,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19286,plain,
% 49.59/32.52 (((~v112(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v112(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19287,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19286])).
% 49.59/32.52 tff(19288,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19287, 19285])).
% 49.59/32.52 tff(19289,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19290,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 49.59/32.52 tff(19291,plain,
% 49.59/32.52 (~v112(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19290, 292, 19284])).
% 49.59/32.52 tff(19292,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19293,plain,
% 49.59/32.52 (((~v26(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v26(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19294,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19293])).
% 49.59/32.52 tff(19295,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19294, 19292])).
% 49.59/32.52 tff(19296,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19297,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 49.59/32.52 tff(19298,plain,
% 49.59/32.52 (~v26(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19297, 1761, 19284])).
% 49.59/32.52 tff(19299,assumption,(v113(constB151)), introduced(assumption)).
% 49.59/32.52 tff(19300,plain,
% 49.59/32.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19301,plain,
% 49.59/32.52 ((v26(constB151) | (~v113(constB151)) | v112(constB151)) <=> (v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19302,plain,
% 49.59/32.52 (((~![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) | v112(constB151) | (~v113(constB151))))),
% 49.59/32.52 inference(monotonicity,[status(thm)],[19301])).
% 49.59/32.52 tff(19303,plain,
% 49.59/32.52 (((~![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) | v112(constB151) | (~v113(constB151)))),
% 49.59/32.52 inference(transitivity,[status(thm)],[19302, 19300])).
% 49.59/32.52 tff(19304,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 49.59/32.52 inference(quant_inst,[status(thm)],[])).
% 49.59/32.52 tff(19305,plain,
% 49.59/32.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151))),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 49.59/32.52 tff(19306,plain,
% 49.59/32.52 (v26(constB151) | v112(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19305, 280, 19299])).
% 49.59/32.52 tff(19307,plain,
% 49.59/32.52 ($false),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19306, 19298, 19291])).
% 49.59/32.52 tff(19308,plain,(v108(constB151) | (~v113(constB151))), inference(lemma,lemma(discharge,[]))).
% 49.59/32.52 tff(19309,plain,
% 49.59/32.52 (v108(constB151)),
% 49.59/32.52 inference(unit_resolution,[status(thm)],[19308, 19283])).
% 49.59/32.52 tff(19310,plain,
% 49.59/32.52 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 49.59/32.52 inference(rewrite,[status(thm)],[])).
% 49.59/32.52 tff(19311,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 49.59/32.52 tff(19312,plain,
% 49.59/32.52 (nextState(constB151, constB152)),
% 49.59/32.52 inference(modus_ponens,[status(thm)],[19311, 19310])).
% 49.59/32.52 tff(19313,plain,
% 49.59/32.52 (((~![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)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19314,plain,
% 49.59/32.53 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19315,plain,
% 49.59/32.53 (((~![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))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19314])).
% 49.59/32.53 tff(19316,plain,
% 49.59/32.53 (((~![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)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19315, 19313])).
% 49.59/32.53 tff(19317,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19318,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19317, 19316])).
% 49.59/32.53 tff(19319,plain,
% 49.59/32.53 (v110(constB152) | (~v108(constB151))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19318, 312, 19312])).
% 49.59/32.53 tff(19320,plain,
% 49.59/32.53 (v110(constB152)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19319, 19309])).
% 49.59/32.53 tff(19321,plain,
% 49.59/32.53 (((~![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)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19322,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19323,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19322, 19321])).
% 49.59/32.53 tff(19324,plain,
% 49.59/32.53 (~v104(constB152)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19323, 330, 19312, 19165])).
% 49.59/32.53 tff(19325,plain,
% 49.59/32.53 (((~![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)) | v102(constB152) | v104(constB152))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19326,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19327,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19326, 19325])).
% 49.59/32.53 tff(19328,plain,
% 49.59/32.53 (v102(constB152) | v104(constB152)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19327, 344, 19312])).
% 49.59/32.53 tff(19329,plain,
% 49.59/32.53 (v102(constB152)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19328, 19324])).
% 49.59/32.53 tff(19330,plain,
% 49.59/32.53 (v1(constB152) <=> v1(constB152)),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19331,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 49.59/32.53 tff(19332,plain,
% 49.59/32.53 (v1(constB152)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19331, 19330])).
% 49.59/32.53 tff(19333,plain,
% 49.59/32.53 (((~![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)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19334,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19335,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19334, 19333])).
% 49.59/32.53 tff(19336,plain,
% 49.59/32.53 (v101(constB152) | (~v102(constB152))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19335, 362, 19312, 19332])).
% 49.59/32.53 tff(19337,plain,
% 49.59/32.53 (v101(constB152)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19336, 19329])).
% 49.59/32.53 tff(19338,plain,
% 49.59/32.53 (((~![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)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19339,plain,
% 49.59/32.53 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19340,plain,
% 49.59/32.53 (((~![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))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19339])).
% 49.59/32.53 tff(19341,plain,
% 49.59/32.53 (((~![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)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19340, 19338])).
% 49.59/32.53 tff(19342,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19343,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19342, 19341])).
% 49.59/32.53 tff(19344,plain,
% 49.59/32.53 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19343, 377, 19312])).
% 49.59/32.53 tff(19345,plain,
% 49.59/32.53 (v100(constB152) | (~v110(constB152))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19344, 19337])).
% 49.59/32.53 tff(19346,plain,
% 49.59/32.53 (v100(constB152)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19345, 19320])).
% 49.59/32.53 tff(19347,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19348,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19349,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19348, 19347])).
% 49.59/32.53 tff(19350,plain,
% 49.59/32.53 (v130(constB151, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19349, 1314, 19255])).
% 49.59/32.53 tff(19351,assumption,(v26(constB151)), introduced(assumption)).
% 49.59/32.53 tff(19352,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19353,plain,
% 49.59/32.53 ($false),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19352, 43, 19351])).
% 49.59/32.53 tff(19354,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 49.59/32.53 tff(19355,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19356,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19357,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19356, 19355])).
% 49.59/32.53 tff(19358,plain,
% 49.59/32.53 ((~v130(constB151, 2)) | v127(constB151, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19357, 1328, 19354])).
% 49.59/32.53 tff(19359,plain,
% 49.59/32.53 (v127(constB151, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19358, 19350])).
% 49.59/32.53 tff(19360,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19361,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19362,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19361, 19360])).
% 49.59/32.53 tff(19363,plain,
% 49.59/32.53 ((~v127(constB151, 2)) | v129(constB152, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19362, 1343, 19312])).
% 49.59/32.53 tff(19364,plain,
% 49.59/32.53 (v129(constB152, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19363, 19359])).
% 49.59/32.53 tff(19365,plain,
% 49.59/32.53 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19366,plain,
% 49.59/32.53 ((v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2))) <=> (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19367,plain,
% 49.59/32.53 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19366])).
% 49.59/32.53 tff(19368,plain,
% 49.59/32.53 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19367, 19365])).
% 49.59/32.53 tff(19369,plain,
% 49.59/32.53 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19370,plain,
% 49.59/32.53 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 49.59/32.53 tff(19371,plain,
% 49.59/32.53 (v90(constB152, 2) | (~v100(constB152))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19370, 1358, 19364])).
% 49.59/32.53 tff(19372,plain,
% 49.59/32.53 (v90(constB152, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19371, 19346])).
% 49.59/32.53 tff(19373,plain,
% 49.59/32.53 ((~v1(constB153)) <=> (~v1(constB153))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19374,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 49.59/32.53 tff(19375,plain,
% 49.59/32.53 (~v1(constB153)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 49.59/32.53 tff(19376,plain,
% 49.59/32.53 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19377,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 49.59/32.53 tff(19378,plain,
% 49.59/32.53 (nextState(constB152, constB153)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19377, 19376])).
% 49.59/32.53 tff(19379,plain,
% 49.59/32.53 (((~![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)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19380,plain,
% 49.59/32.53 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19381,plain,
% 49.59/32.53 (((~![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))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19380])).
% 49.59/32.53 tff(19382,plain,
% 49.59/32.53 (((~![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)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19381, 19379])).
% 49.59/32.53 tff(19383,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19384,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19383, 19382])).
% 49.59/32.53 tff(19385,plain,
% 49.59/32.53 (~v101(constB153)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19384, 90, 19378, 19375])).
% 49.59/32.53 tff(19386,plain,
% 49.59/32.53 (((~![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)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19387,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19388,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19387, 19386])).
% 49.59/32.53 tff(19389,plain,
% 49.59/32.53 (v101(constB153) | (~v100(constB153))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19388, 107, 19378])).
% 49.59/32.53 tff(19390,plain,
% 49.59/32.53 (~v100(constB153)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19389, 19385])).
% 49.59/32.53 tff(19391,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19392,plain,
% 49.59/32.53 (((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)) <=> ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19393,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19392])).
% 49.59/32.53 tff(19394,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19393, 19391])).
% 49.59/32.53 tff(19395,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19396,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19395, 19394])).
% 49.59/32.53 tff(19397,plain,
% 49.59/32.53 ((~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19396, 1394, 19378])).
% 49.59/32.53 tff(19398,plain,
% 49.59/32.53 ((~v90(constB152, 2)) | v90(constB153, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19397, 19390])).
% 49.59/32.53 tff(19399,plain,
% 49.59/32.53 (v90(constB153, 2)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19398, 19372])).
% 49.59/32.53 tff(19400,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19401,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19402,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19401, 19400])).
% 49.59/32.53 tff(19403,plain,
% 49.59/32.53 (~v130(constB151, 1)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19402, 1410, 19255])).
% 49.59/32.53 tff(19404,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19405,plain,
% 49.59/32.53 ((v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1))) <=> ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19406,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19405])).
% 49.59/32.53 tff(19407,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19406, 19404])).
% 49.59/32.53 tff(19408,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19409,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 49.59/32.53 tff(19410,plain,
% 49.59/32.53 ((~v127(constB151, 1)) | v130(constB151, 1)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19409, 408, 19354])).
% 49.59/32.53 tff(19411,plain,
% 49.59/32.53 (~v127(constB151, 1)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19410, 19403])).
% 49.59/32.53 tff(19412,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19413,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19414,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19413, 19412])).
% 49.59/32.53 tff(19415,plain,
% 49.59/32.53 (v127(constB151, 1) | (~v129(constB152, 1))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19414, 438, 19312])).
% 49.59/32.53 tff(19416,plain,
% 49.59/32.53 (~v129(constB152, 1)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19415, 19411])).
% 49.59/32.53 tff(19417,plain,
% 49.59/32.53 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19418,plain,
% 49.59/32.53 (((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1)) <=> ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19419,plain,
% 49.59/32.53 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19418])).
% 49.59/32.53 tff(19420,plain,
% 49.59/32.53 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19419, 19417])).
% 49.59/32.53 tff(19421,plain,
% 49.59/32.53 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19422,plain,
% 49.59/32.53 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19421, 19420])).
% 49.59/32.53 tff(19423,plain,
% 49.59/32.53 ((~v90(constB152, 1)) | (~v100(constB152))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19422, 453, 19416])).
% 49.59/32.53 tff(19424,plain,
% 49.59/32.53 (~v90(constB152, 1)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19423, 19346])).
% 49.59/32.53 tff(19425,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19426,plain,
% 49.59/32.53 (((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))) <=> (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19427,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19426])).
% 49.59/32.53 tff(19428,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19427, 19425])).
% 49.59/32.53 tff(19429,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19430,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19429, 19428])).
% 49.59/32.53 tff(19431,plain,
% 49.59/32.53 (v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19430, 143, 19378])).
% 49.59/32.53 tff(19432,plain,
% 49.59/32.53 (v90(constB152, 1) | (~v90(constB153, 1))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19431, 19390])).
% 49.59/32.53 tff(19433,plain,
% 49.59/32.53 (~v90(constB153, 1)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19432, 19424])).
% 49.59/32.53 tff(19434,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19435,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19436,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19435, 19434])).
% 49.59/32.53 tff(19437,plain,
% 49.59/32.53 (~v130(constB151, 0)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19436, 1451, 19255])).
% 49.59/32.53 tff(19438,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19439,plain,
% 49.59/32.53 ((v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0))) <=> ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19440,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19439])).
% 49.59/32.53 tff(19441,plain,
% 49.59/32.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19440, 19438])).
% 49.59/32.53 tff(19442,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19443,plain,
% 49.59/32.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19442, 19441])).
% 49.59/32.53 tff(19444,plain,
% 49.59/32.53 ((~v127(constB151, 0)) | v130(constB151, 0)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19443, 930, 19354])).
% 49.59/32.53 tff(19445,plain,
% 49.59/32.53 (~v127(constB151, 0)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19444, 19437])).
% 49.59/32.53 tff(19446,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19447,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19448,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19447, 19446])).
% 49.59/32.53 tff(19449,plain,
% 49.59/32.53 (v127(constB151, 0) | (~v129(constB152, 0))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19448, 948, 19312])).
% 49.59/32.53 tff(19450,plain,
% 49.59/32.53 (~v129(constB152, 0)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19449, 19445])).
% 49.59/32.53 tff(19451,plain,
% 49.59/32.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19452,plain,
% 49.59/32.53 (((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0)) <=> ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19453,plain,
% 49.59/32.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19452])).
% 49.59/32.53 tff(19454,plain,
% 49.59/32.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19453, 19451])).
% 49.59/32.53 tff(19455,plain,
% 49.59/32.53 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19456,plain,
% 49.59/32.53 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19455, 19454])).
% 49.59/32.53 tff(19457,plain,
% 49.59/32.53 ((~v90(constB152, 0)) | (~v100(constB152))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19456, 963, 19450])).
% 49.59/32.53 tff(19458,plain,
% 49.59/32.53 (~v90(constB152, 0)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19457, 19346])).
% 49.59/32.53 tff(19459,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19460,plain,
% 49.59/32.53 (((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))) <=> (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 49.59/32.53 inference(rewrite,[status(thm)],[])).
% 49.59/32.53 tff(19461,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))))),
% 49.59/32.53 inference(monotonicity,[status(thm)],[19460])).
% 49.59/32.53 tff(19462,plain,
% 49.59/32.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 49.59/32.53 inference(transitivity,[status(thm)],[19461, 19459])).
% 49.59/32.53 tff(19463,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))),
% 49.59/32.53 inference(quant_inst,[status(thm)],[])).
% 49.59/32.53 tff(19464,plain,
% 49.59/32.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))),
% 49.59/32.53 inference(modus_ponens,[status(thm)],[19463, 19462])).
% 49.59/32.53 tff(19465,plain,
% 49.59/32.53 (v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19464, 164, 19378])).
% 49.59/32.53 tff(19466,plain,
% 49.59/32.53 (v90(constB152, 0) | (~v90(constB153, 0))),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19465, 19390])).
% 49.59/32.53 tff(19467,plain,
% 49.59/32.53 (~v90(constB153, 0)),
% 49.59/32.53 inference(unit_resolution,[status(thm)],[19466, 19458])).
% 49.59/32.53 tff(19468,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19469,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19470,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19469, 19468])).
% 49.59/32.54 tff(19471,plain,
% 49.59/32.54 (v123(constB153)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19470, 1495, 19467, 19433, 19399])).
% 49.59/32.54 tff(19472,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19473,plain,
% 49.59/32.54 (((~v123(constB153)) | v115(constB153)) <=> (v115(constB153) | (~v123(constB153)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19474,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153))))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19473])).
% 49.59/32.54 tff(19475,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19474, 19472])).
% 49.59/32.54 tff(19476,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19477,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19476, 19475])).
% 49.59/32.54 tff(19478,plain,
% 49.59/32.54 (v115(constB153)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19477, 1506, 19471])).
% 49.59/32.54 tff(19479,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB153)) | v114(constB153))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19480,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19481,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB153)) | v114(constB153)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19480, 19479])).
% 49.59/32.54 tff(19482,plain,
% 49.59/32.54 (v114(constB153)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19481, 252, 19478])).
% 49.59/32.54 tff(19483,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19484,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19485,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19484, 19483])).
% 49.59/32.54 tff(19486,plain,
% 49.59/32.54 (v113(constB153)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19485, 266, 19482])).
% 49.59/32.54 tff(19487,assumption,(v26(constB153)), introduced(assumption)).
% 49.59/32.54 tff(19488,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19489,plain,
% 49.59/32.54 ($false),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19488, 43, 19487])).
% 49.59/32.54 tff(19490,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 49.59/32.54 tff(19491,plain,
% 49.59/32.54 (((~![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) | (~v113(constB153)) | v112(constB153))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19492,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19493,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19492, 19491])).
% 49.59/32.54 tff(19494,plain,
% 49.59/32.54 ((~v113(constB153)) | v112(constB153)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19493, 280, 19490])).
% 49.59/32.54 tff(19495,plain,
% 49.59/32.54 (v112(constB153)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19494, 19486])).
% 49.59/32.54 tff(19496,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19497,plain,
% 49.59/32.54 (((~v112(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v112(constB153)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19498,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153))))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19497])).
% 49.59/32.54 tff(19499,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19498, 19496])).
% 49.59/32.54 tff(19500,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19501,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19500, 19499])).
% 49.59/32.54 tff(19502,plain,
% 49.59/32.54 (v108(constB153)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19501, 292, 19495])).
% 49.59/32.54 tff(19503,plain,
% 49.59/32.54 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19504,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 49.59/32.54 tff(19505,plain,
% 49.59/32.54 (nextState(constB153, constB154)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 49.59/32.54 tff(19506,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19507,plain,
% 49.59/32.54 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19508,plain,
% 49.59/32.54 (((~![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))))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19507])).
% 49.59/32.54 tff(19509,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19508, 19506])).
% 49.59/32.54 tff(19510,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19511,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19510, 19509])).
% 49.59/32.54 tff(19512,plain,
% 49.59/32.54 (v110(constB154) | (~v108(constB153))),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19511, 312, 19505])).
% 49.59/32.54 tff(19513,plain,
% 49.59/32.54 (v110(constB154)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19512, 19502])).
% 49.59/32.54 tff(19514,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19515,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19516,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19515, 19514])).
% 49.59/32.54 tff(19517,plain,
% 49.59/32.54 (~v104(constB154)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19516, 330, 19505, 19375])).
% 49.59/32.54 tff(19518,plain,
% 49.59/32.54 (((~![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)) | v102(constB154) | v104(constB154))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19519,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19520,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19519, 19518])).
% 49.59/32.54 tff(19521,plain,
% 49.59/32.54 (v102(constB154) | v104(constB154)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19520, 344, 19505])).
% 49.59/32.54 tff(19522,plain,
% 49.59/32.54 (v102(constB154)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19521, 19517])).
% 49.59/32.54 tff(19523,plain,
% 49.59/32.54 (v1(constB154) <=> v1(constB154)),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19524,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 49.59/32.54 tff(19525,plain,
% 49.59/32.54 (v1(constB154)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 49.59/32.54 tff(19526,plain,
% 49.59/32.54 (((~![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)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19527,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19528,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19527, 19526])).
% 49.59/32.54 tff(19529,plain,
% 49.59/32.54 (v101(constB154) | (~v102(constB154))),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19528, 362, 19505, 19525])).
% 49.59/32.54 tff(19530,plain,
% 49.59/32.54 (v101(constB154)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19529, 19522])).
% 49.59/32.54 tff(19531,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19532,plain,
% 49.59/32.54 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19533,plain,
% 49.59/32.54 (((~![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))))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19532])).
% 49.59/32.54 tff(19534,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19533, 19531])).
% 49.59/32.54 tff(19535,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19536,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19535, 19534])).
% 49.59/32.54 tff(19537,plain,
% 49.59/32.54 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19536, 377, 19505])).
% 49.59/32.54 tff(19538,plain,
% 49.59/32.54 (v100(constB154) | (~v110(constB154))),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19537, 19530])).
% 49.59/32.54 tff(19539,plain,
% 49.59/32.54 (v100(constB154)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19538, 19513])).
% 49.59/32.54 tff(19540,assumption,(v123(constB153)), introduced(assumption)).
% 49.59/32.54 tff(19541,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19542,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19543,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19542, 19541])).
% 49.59/32.54 tff(19544,plain,
% 49.59/32.54 (v130(constB153, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19543, 1580, 19540])).
% 49.59/32.54 tff(19545,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19546,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19547,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19546, 19545])).
% 49.59/32.54 tff(19548,plain,
% 49.59/32.54 ((~v130(constB153, 2)) | v127(constB153, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19547, 1328, 19490])).
% 49.59/32.54 tff(19549,plain,
% 49.59/32.54 (v127(constB153, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19548, 19544])).
% 49.59/32.54 tff(19550,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19551,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19552,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 49.59/32.54 tff(19553,plain,
% 49.59/32.54 ((~v127(constB153, 2)) | v129(constB154, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19552, 1343, 19505])).
% 49.59/32.54 tff(19554,plain,
% 49.59/32.54 (v129(constB154, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19553, 19549])).
% 49.59/32.54 tff(19555,assumption,(v100(constB154)), introduced(assumption)).
% 49.59/32.54 tff(19556,plain,
% 49.59/32.54 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19557,plain,
% 49.59/32.54 ((v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2))) <=> (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19558,plain,
% 49.59/32.54 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19557])).
% 49.59/32.54 tff(19559,plain,
% 49.59/32.54 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19558, 19556])).
% 49.59/32.54 tff(19560,plain,
% 49.59/32.54 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19561,plain,
% 49.59/32.54 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19560, 19559])).
% 49.59/32.54 tff(19562,plain,
% 49.59/32.54 (v90(constB154, 2) | (~v129(constB154, 2))),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19561, 1358, 19555])).
% 49.59/32.54 tff(19563,plain,
% 49.59/32.54 (v90(constB154, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19562, 19554])).
% 49.59/32.54 tff(19564,plain,
% 49.59/32.54 ((~v1(constB155)) <=> (~v1(constB155))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19565,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 49.59/32.54 tff(19566,plain,
% 49.59/32.54 (~v1(constB155)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 49.59/32.54 tff(19567,plain,
% 49.59/32.54 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19568,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 49.59/32.54 tff(19569,plain,
% 49.59/32.54 (nextState(constB154, constB155)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19568, 19567])).
% 49.59/32.54 tff(19570,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19571,plain,
% 49.59/32.54 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19572,plain,
% 49.59/32.54 (((~![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))))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19571])).
% 49.59/32.54 tff(19573,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19572, 19570])).
% 49.59/32.54 tff(19574,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19575,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 49.59/32.54 tff(19576,plain,
% 49.59/32.54 (~v101(constB155)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19575, 90, 19569, 19566])).
% 49.59/32.54 tff(19577,plain,
% 49.59/32.54 (((~![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)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19578,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19579,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19578, 19577])).
% 49.59/32.54 tff(19580,plain,
% 49.59/32.54 (v101(constB155) | (~v100(constB155))),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19579, 107, 19569])).
% 49.59/32.54 tff(19581,plain,
% 49.59/32.54 (~v100(constB155)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19580, 19576])).
% 49.59/32.54 tff(19582,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19583,plain,
% 49.59/32.54 (((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)) <=> ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19584,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19583])).
% 49.59/32.54 tff(19585,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19584, 19582])).
% 49.59/32.54 tff(19586,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19587,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19586, 19585])).
% 49.59/32.54 tff(19588,plain,
% 49.59/32.54 ((~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19587, 1394, 19569])).
% 49.59/32.54 tff(19589,plain,
% 49.59/32.54 ((~v90(constB154, 2)) | v90(constB155, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19588, 19581])).
% 49.59/32.54 tff(19590,plain,
% 49.59/32.54 (v90(constB155, 2)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19589, 19563])).
% 49.59/32.54 tff(19591,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19592,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19593,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19592, 19591])).
% 49.59/32.54 tff(19594,plain,
% 49.59/32.54 (v130(constB153, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19593, 1677, 19540])).
% 49.59/32.54 tff(19595,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19596,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19597,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 49.59/32.54 tff(19598,plain,
% 49.59/32.54 ((~v130(constB153, 0)) | v127(constB153, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19597, 515, 19490])).
% 49.59/32.54 tff(19599,plain,
% 49.59/32.54 (v127(constB153, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19598, 19594])).
% 49.59/32.54 tff(19600,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19601,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19602,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19601, 19600])).
% 49.59/32.54 tff(19603,plain,
% 49.59/32.54 ((~v127(constB153, 0)) | v129(constB154, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19602, 530, 19505])).
% 49.59/32.54 tff(19604,plain,
% 49.59/32.54 (v129(constB154, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19603, 19599])).
% 49.59/32.54 tff(19605,plain,
% 49.59/32.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19606,plain,
% 49.59/32.54 ((v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0))) <=> (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19607,plain,
% 49.59/32.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19606])).
% 49.59/32.54 tff(19608,plain,
% 49.59/32.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19607, 19605])).
% 49.59/32.54 tff(19609,plain,
% 49.59/32.54 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19610,plain,
% 49.59/32.54 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19609, 19608])).
% 49.59/32.54 tff(19611,plain,
% 49.59/32.54 (v90(constB154, 0) | (~v129(constB154, 0))),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19610, 545, 19555])).
% 49.59/32.54 tff(19612,plain,
% 49.59/32.54 (v90(constB154, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19611, 19604])).
% 49.59/32.54 tff(19613,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19614,plain,
% 49.59/32.54 (((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)) <=> ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19615,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19614])).
% 49.59/32.54 tff(19616,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19615, 19613])).
% 49.59/32.54 tff(19617,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19618,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19617, 19616])).
% 49.59/32.54 tff(19619,plain,
% 49.59/32.54 ((~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19618, 563, 19569])).
% 49.59/32.54 tff(19620,plain,
% 49.59/32.54 ((~v90(constB154, 0)) | v90(constB155, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19619, 19581])).
% 49.59/32.54 tff(19621,plain,
% 49.59/32.54 (v90(constB155, 0)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19620, 19612])).
% 49.59/32.54 tff(19622,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19623,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19624,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19623, 19622])).
% 49.59/32.54 tff(19625,plain,
% 49.59/32.54 (~v130(constB153, 1)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19624, 1636, 19540])).
% 49.59/32.54 tff(19626,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19627,plain,
% 49.59/32.54 ((v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1))) <=> ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19628,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)))),
% 49.59/32.54 inference(monotonicity,[status(thm)],[19627])).
% 49.59/32.54 tff(19629,plain,
% 49.59/32.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 49.59/32.54 inference(transitivity,[status(thm)],[19628, 19626])).
% 49.59/32.54 tff(19630,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19631,plain,
% 49.59/32.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 49.59/32.54 tff(19632,plain,
% 49.59/32.54 ((~v127(constB153, 1)) | v130(constB153, 1)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19631, 408, 19490])).
% 49.59/32.54 tff(19633,plain,
% 49.59/32.54 (~v127(constB153, 1)),
% 49.59/32.54 inference(unit_resolution,[status(thm)],[19632, 19625])).
% 49.59/32.54 tff(19634,plain,
% 49.59/32.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 49.59/32.54 inference(rewrite,[status(thm)],[])).
% 49.59/32.54 tff(19635,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 49.59/32.54 inference(quant_inst,[status(thm)],[])).
% 49.59/32.54 tff(19636,plain,
% 49.59/32.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1))),
% 49.59/32.54 inference(modus_ponens,[status(thm)],[19635, 19634])).
% 49.59/32.55 tff(19637,plain,
% 49.59/32.55 (v127(constB153, 1) | (~v129(constB154, 1))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19636, 438, 19505])).
% 49.59/32.55 tff(19638,plain,
% 49.59/32.55 (~v129(constB154, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19637, 19633])).
% 49.59/32.55 tff(19639,plain,
% 49.59/32.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19640,plain,
% 49.59/32.55 (((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1)) <=> ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19641,plain,
% 49.59/32.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19640])).
% 49.59/32.55 tff(19642,plain,
% 49.59/32.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19641, 19639])).
% 49.59/32.55 tff(19643,plain,
% 49.59/32.55 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19644,plain,
% 49.59/32.55 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19643, 19642])).
% 49.59/32.55 tff(19645,plain,
% 49.59/32.55 ((~v90(constB154, 1)) | v129(constB154, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19644, 453, 19555])).
% 49.59/32.55 tff(19646,plain,
% 49.59/32.55 (~v90(constB154, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19645, 19638])).
% 49.59/32.55 tff(19647,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19648,plain,
% 49.59/32.55 (((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))) <=> (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19649,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19648])).
% 49.59/32.55 tff(19650,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19649, 19647])).
% 49.59/32.55 tff(19651,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19652,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19651, 19650])).
% 49.59/32.55 tff(19653,plain,
% 49.59/32.55 (v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19652, 143, 19569])).
% 49.59/32.55 tff(19654,plain,
% 49.59/32.55 (v90(constB154, 1) | (~v90(constB155, 1))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19653, 19581])).
% 49.59/32.55 tff(19655,plain,
% 49.59/32.55 (~v90(constB155, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19654, 19646])).
% 49.59/32.55 tff(19656,assumption,(~v124(constB155)), introduced(assumption)).
% 49.59/32.55 tff(19657,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19658,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19659,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19658, 19657])).
% 49.59/32.55 tff(19660,plain,
% 49.59/32.55 ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19659, 1718, 19656])).
% 49.59/32.55 tff(19661,plain,
% 49.59/32.55 ($false),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19660, 19655, 19621, 19590])).
% 49.59/32.55 tff(19662,plain,((~v123(constB153)) | v124(constB155) | (~v100(constB154))), inference(lemma,lemma(discharge,[]))).
% 49.59/32.55 tff(19663,plain,
% 49.59/32.55 (v124(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19662, 19539, 19471])).
% 49.59/32.55 tff(19664,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB155)) | v114(constB155))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19665,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19666,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB155)) | v114(constB155)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 49.59/32.55 tff(19667,plain,
% 49.59/32.55 (v114(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19666, 1775, 19663])).
% 49.59/32.55 tff(19668,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19669,plain,
% 49.59/32.55 (((~v114(constB155)) | v113(constB155)) <=> (v113(constB155) | (~v114(constB155)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19670,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19669])).
% 49.59/32.55 tff(19671,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19670, 19668])).
% 49.59/32.55 tff(19672,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19673,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19672, 19671])).
% 49.59/32.55 tff(19674,plain,
% 49.59/32.55 (v113(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19673, 266, 19667])).
% 49.59/32.55 tff(19675,assumption,(v26(constB155)), introduced(assumption)).
% 49.59/32.55 tff(19676,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19677,plain,
% 49.59/32.55 ($false),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19676, 43, 19675])).
% 49.59/32.55 tff(19678,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 49.59/32.55 tff(19679,plain,
% 49.59/32.55 (((~![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))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19680,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19681,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 49.59/32.55 tff(19682,plain,
% 49.59/32.55 ((~v113(constB155)) | v112(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19681, 280, 19678])).
% 49.59/32.55 tff(19683,plain,
% 49.59/32.55 (v112(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19682, 19674])).
% 49.59/32.55 tff(19684,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19685,plain,
% 49.59/32.55 (((~v112(constB155)) | v108(constB155)) <=> (v108(constB155) | (~v112(constB155)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19686,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19685])).
% 49.59/32.55 tff(19687,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19686, 19684])).
% 49.59/32.55 tff(19688,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19689,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 49.59/32.55 tff(19690,plain,
% 49.59/32.55 (v108(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19689, 292, 19683])).
% 49.59/32.55 tff(19691,plain,
% 49.59/32.55 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19692,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 49.59/32.55 tff(19693,plain,
% 49.59/32.55 (nextState(constB155, constB156)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19692, 19691])).
% 49.59/32.55 tff(19694,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19695,plain,
% 49.59/32.55 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19696,plain,
% 49.59/32.55 (((~![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))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19695])).
% 49.59/32.55 tff(19697,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19696, 19694])).
% 49.59/32.55 tff(19698,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19699,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19698, 19697])).
% 49.59/32.55 tff(19700,plain,
% 49.59/32.55 (v110(constB156) | (~v108(constB155))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19699, 312, 19693])).
% 49.59/32.55 tff(19701,plain,
% 49.59/32.55 (v110(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19700, 19690])).
% 49.59/32.55 tff(19702,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19703,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19704,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19703, 19702])).
% 49.59/32.55 tff(19705,plain,
% 49.59/32.55 (~v104(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19704, 330, 19693, 19566])).
% 49.59/32.55 tff(19706,plain,
% 49.59/32.55 (((~![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)) | v102(constB156) | v104(constB156))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19707,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19708,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19707, 19706])).
% 49.59/32.55 tff(19709,plain,
% 49.59/32.55 (v102(constB156) | v104(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19708, 344, 19693])).
% 49.59/32.55 tff(19710,plain,
% 49.59/32.55 (v102(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19709, 19705])).
% 49.59/32.55 tff(19711,plain,
% 49.59/32.55 (v1(constB156) <=> v1(constB156)),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19712,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 49.59/32.55 tff(19713,plain,
% 49.59/32.55 (v1(constB156)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19712, 19711])).
% 49.59/32.55 tff(19714,plain,
% 49.59/32.55 (((~![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)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19715,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19716,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19715, 19714])).
% 49.59/32.55 tff(19717,plain,
% 49.59/32.55 (v101(constB156) | (~v102(constB156))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19716, 362, 19693, 19713])).
% 49.59/32.55 tff(19718,plain,
% 49.59/32.55 (v101(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19717, 19710])).
% 49.59/32.55 tff(19719,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19720,plain,
% 49.59/32.55 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19721,plain,
% 49.59/32.55 (((~![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))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19720])).
% 49.59/32.55 tff(19722,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19721, 19719])).
% 49.59/32.55 tff(19723,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19724,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19723, 19722])).
% 49.59/32.55 tff(19725,plain,
% 49.59/32.55 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19724, 377, 19693])).
% 49.59/32.55 tff(19726,plain,
% 49.59/32.55 (v100(constB156) | (~v110(constB156))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19725, 19718])).
% 49.59/32.55 tff(19727,plain,
% 49.59/32.55 (v100(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19726, 19701])).
% 49.59/32.55 tff(19728,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19729,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19730,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 49.59/32.55 tff(19731,plain,
% 49.59/32.55 (v130(constB155, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19730, 1871, 19663])).
% 49.59/32.55 tff(19732,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19733,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19734,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 49.59/32.55 tff(19735,plain,
% 49.59/32.55 ((~v130(constB155, 1)) | v127(constB155, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19734, 852, 19678])).
% 49.59/32.55 tff(19736,plain,
% 49.59/32.55 (v127(constB155, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19735, 19731])).
% 49.59/32.55 tff(19737,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19738,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19739,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 49.59/32.55 tff(19740,plain,
% 49.59/32.55 ((~v127(constB155, 1)) | v129(constB156, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19739, 867, 19693])).
% 49.59/32.55 tff(19741,plain,
% 49.59/32.55 (v129(constB156, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19740, 19736])).
% 49.59/32.55 tff(19742,plain,
% 49.59/32.55 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19743,plain,
% 49.59/32.55 ((v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1))) <=> (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19744,plain,
% 49.59/32.55 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19743])).
% 49.59/32.55 tff(19745,plain,
% 49.59/32.55 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19744, 19742])).
% 49.59/32.55 tff(19746,plain,
% 49.59/32.55 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19747,plain,
% 49.59/32.55 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19746, 19745])).
% 49.59/32.55 tff(19748,plain,
% 49.59/32.55 (v90(constB156, 1) | (~v100(constB156))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19747, 882, 19741])).
% 49.59/32.55 tff(19749,plain,
% 49.59/32.55 (v90(constB156, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19748, 19727])).
% 49.59/32.55 tff(19750,plain,
% 49.59/32.55 ((~v1(constB157)) <=> (~v1(constB157))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19751,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 49.59/32.55 tff(19752,plain,
% 49.59/32.55 (~v1(constB157)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19751, 19750])).
% 49.59/32.55 tff(19753,plain,
% 49.59/32.55 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19754,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 49.59/32.55 tff(19755,plain,
% 49.59/32.55 (nextState(constB156, constB157)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19754, 19753])).
% 49.59/32.55 tff(19756,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19757,plain,
% 49.59/32.55 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19758,plain,
% 49.59/32.55 (((~![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))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19757])).
% 49.59/32.55 tff(19759,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19758, 19756])).
% 49.59/32.55 tff(19760,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19761,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19760, 19759])).
% 49.59/32.55 tff(19762,plain,
% 49.59/32.55 (~v101(constB157)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19761, 90, 19755, 19752])).
% 49.59/32.55 tff(19763,plain,
% 49.59/32.55 (((~![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)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19764,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19765,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19764, 19763])).
% 49.59/32.55 tff(19766,plain,
% 49.59/32.55 (v101(constB157) | (~v100(constB157))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19765, 107, 19755])).
% 49.59/32.55 tff(19767,plain,
% 49.59/32.55 (~v100(constB157)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19766, 19762])).
% 49.59/32.55 tff(19768,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19769,plain,
% 49.59/32.55 (((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)) <=> ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19770,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19769])).
% 49.59/32.55 tff(19771,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19770, 19768])).
% 49.59/32.55 tff(19772,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19773,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 49.59/32.55 tff(19774,plain,
% 49.59/32.55 ((~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19773, 900, 19755])).
% 49.59/32.55 tff(19775,plain,
% 49.59/32.55 ((~v90(constB156, 1)) | v90(constB157, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19774, 19767])).
% 49.59/32.55 tff(19776,plain,
% 49.59/32.55 (v90(constB157, 1)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19775, 19749])).
% 49.59/32.55 tff(19777,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19778,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19779,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19778, 19777])).
% 49.59/32.55 tff(19780,plain,
% 49.59/32.55 (~v124(constB157)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19779, 2083, 19776])).
% 49.59/32.55 tff(19781,assumption,(v124(constB155)), introduced(assumption)).
% 49.59/32.55 tff(19782,plain,
% 49.59/32.55 (v114(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19666, 1775, 19781])).
% 49.59/32.55 tff(19783,plain,
% 49.59/32.55 (v113(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19673, 266, 19782])).
% 49.59/32.55 tff(19784,plain,
% 49.59/32.55 (v112(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19682, 19783])).
% 49.59/32.55 tff(19785,plain,
% 49.59/32.55 (v108(constB155)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19689, 292, 19784])).
% 49.59/32.55 tff(19786,plain,
% 49.59/32.55 (v110(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19700, 19785])).
% 49.59/32.55 tff(19787,plain,
% 49.59/32.55 (v100(constB156)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19726, 19786])).
% 49.59/32.55 tff(19788,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19789,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19790,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19789, 19788])).
% 49.59/32.55 tff(19791,plain,
% 49.59/32.55 (v130(constB155, 2)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19790, 1729, 19781])).
% 49.59/32.55 tff(19792,plain,
% 49.59/32.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19793,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19794,plain,
% 49.59/32.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 49.59/32.55 tff(19795,plain,
% 49.59/32.55 ((~v130(constB155, 2)) | v127(constB155, 2)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19794, 1328, 19678])).
% 49.59/32.55 tff(19796,plain,
% 49.59/32.55 (v127(constB155, 2)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19795, 19791])).
% 49.59/32.55 tff(19797,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19798,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19799,plain,
% 49.59/32.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2)),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19798, 19797])).
% 49.59/32.55 tff(19800,plain,
% 49.59/32.55 ((~v127(constB155, 2)) | v129(constB156, 2)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19799, 1343, 19693])).
% 49.59/32.55 tff(19801,plain,
% 49.59/32.55 (v129(constB156, 2)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19800, 19796])).
% 49.59/32.55 tff(19802,plain,
% 49.59/32.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19803,plain,
% 49.59/32.55 ((v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2))) <=> (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 49.59/32.55 inference(rewrite,[status(thm)],[])).
% 49.59/32.55 tff(19804,plain,
% 49.59/32.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))))),
% 49.59/32.55 inference(monotonicity,[status(thm)],[19803])).
% 49.59/32.55 tff(19805,plain,
% 49.59/32.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 49.59/32.55 inference(transitivity,[status(thm)],[19804, 19802])).
% 49.59/32.55 tff(19806,plain,
% 49.59/32.55 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))),
% 49.59/32.55 inference(quant_inst,[status(thm)],[])).
% 49.59/32.55 tff(19807,plain,
% 49.59/32.55 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))),
% 49.59/32.55 inference(modus_ponens,[status(thm)],[19806, 19805])).
% 49.59/32.55 tff(19808,plain,
% 49.59/32.55 (v90(constB156, 2) | (~v100(constB156))),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19807, 1358, 19801])).
% 49.59/32.55 tff(19809,plain,
% 49.59/32.55 (v90(constB156, 2)),
% 49.59/32.55 inference(unit_resolution,[status(thm)],[19808, 19787])).
% 49.59/32.55 tff(19810,plain,
% 49.59/32.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19811,plain,
% 49.59/32.56 (((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)) <=> ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19812,plain,
% 49.59/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19811])).
% 49.59/32.56 tff(19813,plain,
% 49.59/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19812, 19810])).
% 49.59/32.56 tff(19814,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19815,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19814, 19813])).
% 49.59/32.56 tff(19816,plain,
% 49.59/32.56 ((~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19815, 1394, 19755])).
% 49.59/32.56 tff(19817,plain,
% 49.59/32.56 ((~v90(constB156, 2)) | v90(constB157, 2)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19816, 19767])).
% 49.59/32.56 tff(19818,plain,
% 49.59/32.56 (v90(constB157, 2)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19817, 19809])).
% 49.59/32.56 tff(19819,plain,
% 49.59/32.56 (v130(constB155, 1)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19730, 1871, 19781])).
% 49.59/32.56 tff(19820,plain,
% 49.59/32.56 (v127(constB155, 1)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19735, 19819])).
% 49.59/32.56 tff(19821,plain,
% 49.59/32.56 (v129(constB156, 1)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19740, 19820])).
% 49.59/32.56 tff(19822,plain,
% 49.59/32.56 (v90(constB156, 1) | (~v100(constB156))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19747, 882, 19821])).
% 49.59/32.56 tff(19823,plain,
% 49.59/32.56 (v90(constB156, 1)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19822, 19787])).
% 49.59/32.56 tff(19824,plain,
% 49.59/32.56 (v90(constB157, 1)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19775, 19823])).
% 49.59/32.56 tff(19825,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19826,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19827,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19826, 19825])).
% 49.59/32.56 tff(19828,plain,
% 49.59/32.56 (~v130(constB155, 0)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19827, 1909, 19781])).
% 49.59/32.56 tff(19829,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19830,plain,
% 49.59/32.56 ((v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0))) <=> ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19831,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19830])).
% 49.59/32.56 tff(19832,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19831, 19829])).
% 49.59/32.56 tff(19833,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19834,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19833, 19832])).
% 49.59/32.56 tff(19835,plain,
% 49.59/32.56 ((~v127(constB155, 0)) | v130(constB155, 0)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19834, 930, 19678])).
% 49.59/32.56 tff(19836,plain,
% 49.59/32.56 (~v127(constB155, 0)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19835, 19828])).
% 49.59/32.56 tff(19837,plain,
% 49.59/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19838,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19839,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19838, 19837])).
% 49.59/32.56 tff(19840,plain,
% 49.59/32.56 (v127(constB155, 0) | (~v129(constB156, 0))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19839, 948, 19693])).
% 49.59/32.56 tff(19841,plain,
% 49.59/32.56 (~v129(constB156, 0)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19840, 19836])).
% 49.59/32.56 tff(19842,plain,
% 49.59/32.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19843,plain,
% 49.59/32.56 (((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0)) <=> ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19844,plain,
% 49.59/32.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19843])).
% 49.59/32.56 tff(19845,plain,
% 49.59/32.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19844, 19842])).
% 49.59/32.56 tff(19846,plain,
% 49.59/32.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19847,plain,
% 49.59/32.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 49.59/32.56 tff(19848,plain,
% 49.59/32.56 ((~v90(constB156, 0)) | (~v100(constB156))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19847, 963, 19841])).
% 49.59/32.56 tff(19849,plain,
% 49.59/32.56 (~v90(constB156, 0)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19848, 19787])).
% 49.59/32.56 tff(19850,plain,
% 49.59/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19851,plain,
% 49.59/32.56 (((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))) <=> (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19852,plain,
% 49.59/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19851])).
% 49.59/32.56 tff(19853,plain,
% 49.59/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19852, 19850])).
% 49.59/32.56 tff(19854,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19855,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 49.59/32.56 tff(19856,plain,
% 49.59/32.56 (v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19855, 164, 19755])).
% 49.59/32.56 tff(19857,plain,
% 49.59/32.56 (v90(constB156, 0) | (~v90(constB157, 0))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19856, 19767])).
% 49.59/32.56 tff(19858,plain,
% 49.59/32.56 (~v90(constB157, 0)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19857, 19849])).
% 49.59/32.56 tff(19859,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19860,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19861,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157)),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19860, 19859])).
% 49.59/32.56 tff(19862,plain,
% 49.59/32.56 (v125(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19861, 1953, 19858, 19824, 19818])).
% 49.59/32.56 tff(19863,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB157) | (~v125(constB157)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19864,plain,
% 49.59/32.56 (((~v125(constB157)) | v113(constB157)) <=> (v113(constB157) | (~v125(constB157)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19865,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB157) | (~v125(constB157))))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19864])).
% 49.59/32.56 tff(19866,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157)))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19865, 19863])).
% 49.59/32.56 tff(19867,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19868,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19867, 19866])).
% 49.59/32.56 tff(19869,plain,
% 49.59/32.56 (v113(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19868, 1964, 19862])).
% 49.59/32.56 tff(19870,assumption,(v26(constB157)), introduced(assumption)).
% 49.59/32.56 tff(19871,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19872,plain,
% 49.59/32.56 ($false),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19871, 43, 19870])).
% 49.59/32.56 tff(19873,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 49.59/32.56 tff(19874,plain,
% 49.59/32.56 (((~![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)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19875,plain,
% 49.59/32.56 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19876,plain,
% 49.59/32.56 (((~![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))))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19875])).
% 49.59/32.56 tff(19877,plain,
% 49.59/32.56 (((~![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)))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19876, 19874])).
% 49.59/32.56 tff(19878,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19879,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19878, 19877])).
% 49.59/32.56 tff(19880,plain,
% 49.59/32.56 (v112(constB157) | (~v113(constB157))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19879, 280, 19873])).
% 49.59/32.56 tff(19881,plain,
% 49.59/32.56 (v112(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19880, 19869])).
% 49.59/32.56 tff(19882,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19883,plain,
% 49.59/32.56 (((~v112(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v112(constB157)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19884,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157))))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19883])).
% 49.59/32.56 tff(19885,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19884, 19882])).
% 49.59/32.56 tff(19886,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19887,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19886, 19885])).
% 49.59/32.56 tff(19888,plain,
% 49.59/32.56 (v108(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19887, 292, 19881])).
% 49.59/32.56 tff(19889,plain,
% 49.59/32.56 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19890,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 49.59/32.56 tff(19891,plain,
% 49.59/32.56 (nextState(constB157, constB158)),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19890, 19889])).
% 49.59/32.56 tff(19892,plain,
% 49.59/32.56 (((~![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)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19893,plain,
% 49.59/32.56 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19894,plain,
% 49.59/32.56 (((~![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))))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19893])).
% 49.59/32.56 tff(19895,plain,
% 49.59/32.56 (((~![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)))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19894, 19892])).
% 49.59/32.56 tff(19896,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19897,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19896, 19895])).
% 49.59/32.56 tff(19898,plain,
% 49.59/32.56 (v110(constB158) | (~v108(constB157))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19897, 312, 19891])).
% 49.59/32.56 tff(19899,plain,
% 49.59/32.56 (v110(constB158)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19898, 19888])).
% 49.59/32.56 tff(19900,plain,
% 49.59/32.56 (((~![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)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19901,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19902,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19901, 19900])).
% 49.59/32.56 tff(19903,plain,
% 49.59/32.56 (~v104(constB158)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19902, 330, 19891, 19752])).
% 49.59/32.56 tff(19904,plain,
% 49.59/32.56 (((~![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)) | v102(constB158) | v104(constB158))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19905,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19906,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19905, 19904])).
% 49.59/32.56 tff(19907,plain,
% 49.59/32.56 (v102(constB158) | v104(constB158)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19906, 344, 19891])).
% 49.59/32.56 tff(19908,plain,
% 49.59/32.56 (v102(constB158)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19907, 19903])).
% 49.59/32.56 tff(19909,plain,
% 49.59/32.56 (v1(constB158) <=> v1(constB158)),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19910,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 49.59/32.56 tff(19911,plain,
% 49.59/32.56 (v1(constB158)),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 49.59/32.56 tff(19912,plain,
% 49.59/32.56 (((~![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)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19913,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19914,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19913, 19912])).
% 49.59/32.56 tff(19915,plain,
% 49.59/32.56 (v101(constB158) | (~v102(constB158))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19914, 362, 19891, 19911])).
% 49.59/32.56 tff(19916,plain,
% 49.59/32.56 (v101(constB158)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19915, 19908])).
% 49.59/32.56 tff(19917,plain,
% 49.59/32.56 (((~![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)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19918,plain,
% 49.59/32.56 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19919,plain,
% 49.59/32.56 (((~![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))))),
% 49.59/32.56 inference(monotonicity,[status(thm)],[19918])).
% 49.59/32.56 tff(19920,plain,
% 49.59/32.56 (((~![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)))),
% 49.59/32.56 inference(transitivity,[status(thm)],[19919, 19917])).
% 49.59/32.56 tff(19921,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19922,plain,
% 49.59/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19921, 19920])).
% 49.59/32.56 tff(19923,plain,
% 49.59/32.56 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19922, 377, 19891])).
% 49.59/32.56 tff(19924,plain,
% 49.59/32.56 (v100(constB158) | (~v110(constB158))),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19923, 19916])).
% 49.59/32.56 tff(19925,plain,
% 49.59/32.56 (v100(constB158)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19924, 19899])).
% 49.59/32.56 tff(19926,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19927,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19928,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19927, 19926])).
% 49.59/32.56 tff(19929,plain,
% 49.59/32.56 (~v119(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19928, 2050, 19824])).
% 49.59/32.56 tff(19930,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19931,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19932,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19931, 19930])).
% 49.59/32.56 tff(19933,plain,
% 49.59/32.56 (~v123(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19932, 2072, 19824])).
% 49.59/32.56 tff(19934,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19935,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19936,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19935, 19934])).
% 49.59/32.56 tff(19937,plain,
% 49.59/32.56 (~v122(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19936, 2039, 19818])).
% 49.59/32.56 tff(19938,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19939,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19940,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19939, 19938])).
% 49.59/32.56 tff(19941,plain,
% 49.59/32.56 (~v121(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19940, 2028, 19818])).
% 49.59/32.56 tff(19942,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.56 inference(rewrite,[status(thm)],[])).
% 49.59/32.56 tff(19943,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))),
% 49.59/32.56 inference(quant_inst,[status(thm)],[])).
% 49.59/32.56 tff(19944,plain,
% 49.59/32.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1))),
% 49.59/32.56 inference(modus_ponens,[status(thm)],[19943, 19942])).
% 49.59/32.56 tff(19945,plain,
% 49.59/32.56 (~v120(constB157)),
% 49.59/32.56 inference(unit_resolution,[status(thm)],[19944, 2061, 19824])).
% 49.59/32.56 tff(19946,assumption,(~v124(constB157)), introduced(assumption)).
% 49.59/32.56 tff(19947,plain,
% 49.59/32.56 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19948,plain,
% 49.64/32.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 49.64/32.56 inference(quant_inst,[status(thm)],[])).
% 49.64/32.56 tff(19949,plain,
% 49.64/32.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2))),
% 49.64/32.56 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 49.64/32.56 tff(19950,plain,
% 49.64/32.56 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | (~v130(constB157, 2))),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19949, 2097, 19946])).
% 49.64/32.56 tff(19951,plain,
% 49.64/32.56 (~v130(constB157, 2)),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19950, 19945, 19941, 19937, 19933, 19929])).
% 49.64/32.56 tff(19952,plain,
% 49.64/32.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19953,plain,
% 49.64/32.56 ((v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2))) <=> ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19954,plain,
% 49.64/32.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)))),
% 49.64/32.56 inference(monotonicity,[status(thm)],[19953])).
% 49.64/32.56 tff(19955,plain,
% 49.64/32.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 49.64/32.56 inference(transitivity,[status(thm)],[19954, 19952])).
% 49.64/32.56 tff(19956,plain,
% 49.64/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))),
% 49.64/32.56 inference(quant_inst,[status(thm)],[])).
% 49.64/32.56 tff(19957,plain,
% 49.64/32.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)),
% 49.64/32.56 inference(modus_ponens,[status(thm)],[19956, 19955])).
% 49.64/32.56 tff(19958,plain,
% 49.64/32.56 ((~v127(constB157, 2)) | v130(constB157, 2)),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19957, 593, 19873])).
% 49.64/32.56 tff(19959,plain,
% 49.64/32.56 (~v127(constB157, 2)),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19958, 19951])).
% 49.64/32.56 tff(19960,plain,
% 49.64/32.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19961,plain,
% 49.64/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 49.64/32.56 inference(quant_inst,[status(thm)],[])).
% 49.64/32.56 tff(19962,plain,
% 49.64/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2))),
% 49.64/32.56 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 49.64/32.56 tff(19963,plain,
% 49.64/32.56 (v127(constB157, 2) | (~v129(constB158, 2))),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19962, 611, 19891])).
% 49.64/32.56 tff(19964,plain,
% 49.64/32.56 (~v129(constB158, 2)),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19963, 19959])).
% 49.64/32.56 tff(19965,plain,
% 49.64/32.56 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19966,plain,
% 49.64/32.56 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 49.64/32.56 inference(quant_inst,[status(thm)],[])).
% 49.64/32.56 tff(19967,plain,
% 49.64/32.56 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158))),
% 49.64/32.56 inference(modus_ponens,[status(thm)],[19966, 19965])).
% 49.64/32.56 tff(19968,plain,
% 49.64/32.56 ((~v90(constB158, 2)) | (~v100(constB158))),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19967, 626, 19964])).
% 49.64/32.56 tff(19969,plain,
% 49.64/32.56 (~v90(constB158, 2)),
% 49.64/32.56 inference(unit_resolution,[status(thm)],[19968, 19925])).
% 49.64/32.56 tff(19970,plain,
% 49.64/32.56 ((~v1(constB159)) <=> (~v1(constB159))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19971,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 49.64/32.56 tff(19972,plain,
% 49.64/32.56 (~v1(constB159)),
% 49.64/32.56 inference(modus_ponens,[status(thm)],[19971, 19970])).
% 49.64/32.56 tff(19973,plain,
% 49.64/32.56 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19974,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 49.64/32.56 tff(19975,plain,
% 49.64/32.56 (nextState(constB158, constB159)),
% 49.64/32.56 inference(modus_ponens,[status(thm)],[19974, 19973])).
% 49.64/32.56 tff(19976,plain,
% 49.64/32.56 (((~![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)))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19977,plain,
% 49.64/32.56 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 49.64/32.56 inference(rewrite,[status(thm)],[])).
% 49.64/32.56 tff(19978,plain,
% 49.64/32.56 (((~![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))))),
% 49.64/32.56 inference(monotonicity,[status(thm)],[19977])).
% 49.64/32.56 tff(19979,plain,
% 49.64/32.56 (((~![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)))),
% 49.64/32.56 inference(transitivity,[status(thm)],[19978, 19976])).
% 49.64/32.56 tff(19980,plain,
% 49.64/32.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 49.64/32.56 inference(quant_inst,[status(thm)],[])).
% 49.64/32.56 tff(19981,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[19980, 19979])).
% 49.64/32.57 tff(19982,plain,
% 49.64/32.57 (~v101(constB159)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[19981, 90, 19975, 19972])).
% 49.64/32.57 tff(19983,plain,
% 49.64/32.57 (((~![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)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(19984,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(19985,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[19984, 19983])).
% 49.64/32.57 tff(19986,plain,
% 49.64/32.57 (v101(constB159) | (~v100(constB159))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[19985, 107, 19975])).
% 49.64/32.57 tff(19987,plain,
% 49.64/32.57 (~v100(constB159)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[19986, 19982])).
% 49.64/32.57 tff(19988,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(19989,plain,
% 49.64/32.57 (((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))) <=> (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(19990,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[19989])).
% 49.64/32.57 tff(19991,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 49.64/32.57 inference(transitivity,[status(thm)],[19990, 19988])).
% 49.64/32.57 tff(19992,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(19993,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[19992, 19991])).
% 49.64/32.57 tff(19994,plain,
% 49.64/32.57 (v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[19993, 122, 19975])).
% 49.64/32.57 tff(19995,plain,
% 49.64/32.57 (v90(constB158, 2) | (~v90(constB159, 2))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[19994, 19987])).
% 49.64/32.57 tff(19996,plain,
% 49.64/32.57 (~v90(constB159, 2)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[19995, 19969])).
% 49.64/32.57 tff(19997,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(19998,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(19999,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[19998, 19997])).
% 49.64/32.57 tff(20000,plain,
% 49.64/32.57 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | (~v130(constB157, 1))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[19999, 2156, 19946])).
% 49.64/32.57 tff(20001,plain,
% 49.64/32.57 (~v130(constB157, 1)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20000, 19945, 19941, 19937, 19933, 19929])).
% 49.64/32.57 tff(20002,assumption,(v127(constB157, 1)), introduced(assumption)).
% 49.64/32.57 tff(20003,assumption,(~v130(constB157, 1)), introduced(assumption)).
% 49.64/32.57 tff(20004,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20005,plain,
% 49.64/32.57 ((v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1))) <=> ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20006,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20005])).
% 49.64/32.57 tff(20007,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20006, 20004])).
% 49.64/32.57 tff(20008,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20009,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 49.64/32.57 tff(20010,plain,
% 49.64/32.57 ((~v127(constB157, 1)) | v26(constB157)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20009, 408, 20003])).
% 49.64/32.57 tff(20011,plain,
% 49.64/32.57 (v26(constB157)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20010, 20002])).
% 49.64/32.57 tff(20012,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB157)) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB157)) | (~v127(constB157, 1)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20013,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB157)) | (~v127(constB157, 1)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20014,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB157)) | (~v127(constB157, 1))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20013, 20012])).
% 49.64/32.57 tff(20015,plain,
% 49.64/32.57 ($false),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20014, 423, 20002, 20011])).
% 49.64/32.57 tff(20016,plain,((~v127(constB157, 1)) | v130(constB157, 1)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.57 tff(20017,plain,
% 49.64/32.57 (~v127(constB157, 1)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20016, 20001])).
% 49.64/32.57 tff(20018,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20019,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20020,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20019, 20018])).
% 49.64/32.57 tff(20021,plain,
% 49.64/32.57 (v127(constB157, 1) | (~v129(constB158, 1))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20020, 438, 19891])).
% 49.64/32.57 tff(20022,plain,
% 49.64/32.57 (~v129(constB158, 1)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20021, 20017])).
% 49.64/32.57 tff(20023,plain,
% 49.64/32.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20024,plain,
% 49.64/32.57 (((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1)) <=> ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20025,plain,
% 49.64/32.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20024])).
% 49.64/32.57 tff(20026,plain,
% 49.64/32.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20025, 20023])).
% 49.64/32.57 tff(20027,plain,
% 49.64/32.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20028,plain,
% 49.64/32.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20027, 20026])).
% 49.64/32.57 tff(20029,plain,
% 49.64/32.57 ((~v90(constB158, 1)) | (~v100(constB158))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20028, 453, 20022])).
% 49.64/32.57 tff(20030,plain,
% 49.64/32.57 (~v90(constB158, 1)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20029, 19925])).
% 49.64/32.57 tff(20031,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20032,plain,
% 49.64/32.57 (((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))) <=> (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20033,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20032])).
% 49.64/32.57 tff(20034,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20033, 20031])).
% 49.64/32.57 tff(20035,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20036,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20035, 20034])).
% 49.64/32.57 tff(20037,plain,
% 49.64/32.57 (v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20036, 143, 19975])).
% 49.64/32.57 tff(20038,plain,
% 49.64/32.57 (v90(constB158, 1) | (~v90(constB159, 1))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20037, 19987])).
% 49.64/32.57 tff(20039,plain,
% 49.64/32.57 (~v90(constB159, 1)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20038, 20030])).
% 49.64/32.57 tff(20040,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20041,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20042,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20041, 20040])).
% 49.64/32.57 tff(20043,plain,
% 49.64/32.57 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v130(constB157, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20042, 2200, 19946])).
% 49.64/32.57 tff(20044,plain,
% 49.64/32.57 (v130(constB157, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20043, 19945, 19941, 19937, 19933, 19929])).
% 49.64/32.57 tff(20045,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20046,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20047,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 49.64/32.57 tff(20048,plain,
% 49.64/32.57 ((~v130(constB157, 0)) | v127(constB157, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20047, 515, 19873])).
% 49.64/32.57 tff(20049,plain,
% 49.64/32.57 (v127(constB157, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20048, 20044])).
% 49.64/32.57 tff(20050,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20051,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20052,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20051, 20050])).
% 49.64/32.57 tff(20053,plain,
% 49.64/32.57 ((~v127(constB157, 0)) | v129(constB158, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20052, 530, 19891])).
% 49.64/32.57 tff(20054,plain,
% 49.64/32.57 (v129(constB158, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20053, 20049])).
% 49.64/32.57 tff(20055,plain,
% 49.64/32.57 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20056,plain,
% 49.64/32.57 ((v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0))) <=> (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20057,plain,
% 49.64/32.57 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20056])).
% 49.64/32.57 tff(20058,plain,
% 49.64/32.57 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20057, 20055])).
% 49.64/32.57 tff(20059,plain,
% 49.64/32.57 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20060,plain,
% 49.64/32.57 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20059, 20058])).
% 49.64/32.57 tff(20061,plain,
% 49.64/32.57 (v90(constB158, 0) | (~v100(constB158))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20060, 545, 20054])).
% 49.64/32.57 tff(20062,plain,
% 49.64/32.57 (v90(constB158, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20061, 19925])).
% 49.64/32.57 tff(20063,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20064,plain,
% 49.64/32.57 (((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)) <=> ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20065,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20064])).
% 49.64/32.57 tff(20066,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20065, 20063])).
% 49.64/32.57 tff(20067,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20068,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20067, 20066])).
% 49.64/32.57 tff(20069,plain,
% 49.64/32.57 ((~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20068, 563, 19975])).
% 49.64/32.57 tff(20070,plain,
% 49.64/32.57 ((~v90(constB158, 0)) | v90(constB159, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20069, 19987])).
% 49.64/32.57 tff(20071,plain,
% 49.64/32.57 (v90(constB159, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20070, 20062])).
% 49.64/32.57 tff(20072,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20073,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20074,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 49.64/32.57 tff(20075,plain,
% 49.64/32.57 (v120(constB159)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20074, 651, 20071, 20039, 19996])).
% 49.64/32.57 tff(20076,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20077,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20078,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 49.64/32.57 tff(20079,plain,
% 49.64/32.57 (~v130(constB159, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20078, 916, 20075])).
% 49.64/32.57 tff(20080,assumption,(v26(constB159)), introduced(assumption)).
% 49.64/32.57 tff(20081,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20082,plain,
% 49.64/32.57 ($false),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20081, 43, 20080])).
% 49.64/32.57 tff(20083,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.57 tff(20084,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20085,plain,
% 49.64/32.57 ((v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0))) <=> ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20086,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20085])).
% 49.64/32.57 tff(20087,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20086, 20084])).
% 49.64/32.57 tff(20088,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20089,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20088, 20087])).
% 49.64/32.57 tff(20090,plain,
% 49.64/32.57 ((~v127(constB159, 0)) | v130(constB159, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20089, 930, 20083])).
% 49.64/32.57 tff(20091,plain,
% 49.64/32.57 (~v127(constB159, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20090, 20079])).
% 49.64/32.57 tff(20092,assumption,(~v127(constB159, 0)), introduced(assumption)).
% 49.64/32.57 tff(20093,plain,
% 49.64/32.57 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20094,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 49.64/32.57 tff(20095,plain,
% 49.64/32.57 (nextState(constB159, constB160)),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20094, 20093])).
% 49.64/32.57 tff(20096,plain,
% 49.64/32.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20097,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20098,plain,
% 49.64/32.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20097, 20096])).
% 49.64/32.57 tff(20099,plain,
% 49.64/32.57 (v127(constB159, 0) | (~v129(constB160, 0))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20098, 948, 20095])).
% 49.64/32.57 tff(20100,plain,
% 49.64/32.57 (~v129(constB160, 0)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20099, 20092])).
% 49.64/32.57 tff(20101,assumption,(v90(constB160, 0)), introduced(assumption)).
% 49.64/32.57 tff(20102,plain,
% 49.64/32.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20103,plain,
% 49.64/32.57 (((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0)) <=> ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20104,plain,
% 49.64/32.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20103])).
% 49.64/32.57 tff(20105,plain,
% 49.64/32.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20104, 20102])).
% 49.64/32.57 tff(20106,plain,
% 49.64/32.57 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20107,plain,
% 49.64/32.57 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 49.64/32.57 tff(20108,plain,
% 49.64/32.57 (v129(constB160, 0) | (~v100(constB160))),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20107, 963, 20101])).
% 49.64/32.57 tff(20109,plain,
% 49.64/32.57 (~v100(constB160)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20108, 20100])).
% 49.64/32.57 tff(20110,assumption,(~v108(constB159)), introduced(assumption)).
% 49.64/32.57 tff(20111,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20112,plain,
% 49.64/32.57 (((~v112(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v112(constB159)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20113,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20112])).
% 49.64/32.57 tff(20114,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20113, 20111])).
% 49.64/32.57 tff(20115,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20116,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20115, 20114])).
% 49.64/32.57 tff(20117,plain,
% 49.64/32.57 (~v112(constB159)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20116, 292, 20110])).
% 49.64/32.57 tff(20118,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20119,plain,
% 49.64/32.57 (((~v26(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v26(constB159)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20120,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v26(constB159))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20119])).
% 49.64/32.57 tff(20121,plain,
% 49.64/32.57 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159)))),
% 49.64/32.57 inference(transitivity,[status(thm)],[20120, 20118])).
% 49.64/32.57 tff(20122,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))),
% 49.64/32.57 inference(quant_inst,[status(thm)],[])).
% 49.64/32.57 tff(20123,plain,
% 49.64/32.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159))),
% 49.64/32.57 inference(modus_ponens,[status(thm)],[20122, 20121])).
% 49.64/32.57 tff(20124,plain,
% 49.64/32.57 (~v26(constB159)),
% 49.64/32.57 inference(unit_resolution,[status(thm)],[20123, 1761, 20110])).
% 49.64/32.57 tff(20125,plain,
% 49.64/32.57 (((~![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)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20126,plain,
% 49.64/32.57 ((v26(constB159) | (~v113(constB159)) | v112(constB159)) <=> (v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 49.64/32.57 inference(rewrite,[status(thm)],[])).
% 49.64/32.57 tff(20127,plain,
% 49.64/32.57 (((~![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))))),
% 49.64/32.57 inference(monotonicity,[status(thm)],[20126])).
% 49.64/32.57 tff(20128,plain,
% 49.64/32.57 (((~![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)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20127, 20125])).
% 49.64/32.58 tff(20129,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20130,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20129, 20128])).
% 49.64/32.58 tff(20131,plain,
% 49.64/32.58 (~v113(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20130, 280, 20124, 20117])).
% 49.64/32.58 tff(20132,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20133,plain,
% 49.64/32.58 (((~v114(constB159)) | v113(constB159)) <=> (v113(constB159) | (~v114(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20134,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20133])).
% 49.64/32.58 tff(20135,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20134, 20132])).
% 49.64/32.58 tff(20136,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20137,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20136, 20135])).
% 49.64/32.58 tff(20138,plain,
% 49.64/32.58 (~v114(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20137, 266, 20131])).
% 49.64/32.58 tff(20139,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20140,plain,
% 49.64/32.58 (((~v115(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v115(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20141,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20140])).
% 49.64/32.58 tff(20142,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20141, 20139])).
% 49.64/32.58 tff(20143,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20144,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20143, 20142])).
% 49.64/32.58 tff(20145,plain,
% 49.64/32.58 (~v115(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20144, 252, 20138])).
% 49.64/32.58 tff(20146,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20147,plain,
% 49.64/32.58 (((~v116(constB159)) | v115(constB159)) <=> (v115(constB159) | (~v116(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20148,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20147])).
% 49.64/32.58 tff(20149,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20148, 20146])).
% 49.64/32.58 tff(20150,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20151,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20150, 20149])).
% 49.64/32.58 tff(20152,plain,
% 49.64/32.58 (~v116(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20151, 238, 20145])).
% 49.64/32.58 tff(20153,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20154,plain,
% 49.64/32.58 (((~v117(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v117(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20155,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20154])).
% 49.64/32.58 tff(20156,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20155, 20153])).
% 49.64/32.58 tff(20157,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20158,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20157, 20156])).
% 49.64/32.58 tff(20159,plain,
% 49.64/32.58 (~v117(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20158, 224, 20152])).
% 49.64/32.58 tff(20160,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20161,plain,
% 49.64/32.58 (((~v118(constB159)) | v117(constB159)) <=> (v117(constB159) | (~v118(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20162,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20161])).
% 49.64/32.58 tff(20163,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20162, 20160])).
% 49.64/32.58 tff(20164,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20165,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20164, 20163])).
% 49.64/32.58 tff(20166,plain,
% 49.64/32.58 (~v118(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20165, 210, 20159])).
% 49.64/32.58 tff(20167,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v124(constB159)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20168,plain,
% 49.64/32.58 (((~v124(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v124(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20169,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v124(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20168])).
% 49.64/32.58 tff(20170,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20169, 20167])).
% 49.64/32.58 tff(20171,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20172,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 49.64/32.58 tff(20173,plain,
% 49.64/32.58 (~v124(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20172, 1775, 20138])).
% 49.64/32.58 tff(20174,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20175,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20176,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20175, 20174])).
% 49.64/32.58 tff(20177,plain,
% 49.64/32.58 (v26(constB159) | (~v130(constB159, 0))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20176, 515, 20092])).
% 49.64/32.58 tff(20178,plain,
% 49.64/32.58 (~v130(constB159, 0)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20177, 20124])).
% 49.64/32.58 tff(20179,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB159)) | v130(constB159, 0))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20180,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB159)) | v130(constB159, 0))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20181,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB159)) | v130(constB159, 0)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20180, 20179])).
% 49.64/32.58 tff(20182,plain,
% 49.64/32.58 (~v123(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20181, 1677, 20178])).
% 49.64/32.58 tff(20183,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20184,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20185,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20184, 20183])).
% 49.64/32.58 tff(20186,plain,
% 49.64/32.58 (~v119(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20185, 501, 20178])).
% 49.64/32.58 tff(20187,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB159)) | v130(constB159, 0))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20188,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB159)) | v130(constB159, 0))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20189,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB159)) | v130(constB159, 0)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20188, 20187])).
% 49.64/32.58 tff(20190,plain,
% 49.64/32.58 (~v121(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20189, 1184, 20178])).
% 49.64/32.58 tff(20191,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v122(constB159)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v122(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20192,plain,
% 49.64/32.58 (((~v122(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v122(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20193,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v122(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20192])).
% 49.64/32.58 tff(20194,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v122(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20193, 20191])).
% 49.64/32.58 tff(20195,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20196,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v122(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20195, 20194])).
% 49.64/32.58 tff(20197,plain,
% 49.64/32.58 (~v122(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20196, 1236, 20152])).
% 49.64/32.58 tff(20198,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20199,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20200,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20199, 20198])).
% 49.64/32.58 tff(20201,plain,
% 49.64/32.58 (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20200, 2200, 20178])).
% 49.64/32.58 tff(20202,plain,
% 49.64/32.58 (v120(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20201, 20197, 20190, 20186, 20182, 20173])).
% 49.64/32.58 tff(20203,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v120(constB159)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20204,plain,
% 49.64/32.58 (((~v120(constB159)) | v118(constB159)) <=> (v118(constB159) | (~v120(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20205,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v120(constB159))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20204])).
% 49.64/32.58 tff(20206,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20205, 20203])).
% 49.64/32.58 tff(20207,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20208,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20207, 20206])).
% 49.64/32.58 tff(20209,plain,
% 49.64/32.58 ($false),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20208, 665, 20202, 20166])).
% 49.64/32.58 tff(20210,plain,(v108(constB159) | v127(constB159, 0)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.58 tff(20211,plain,
% 49.64/32.58 (v108(constB159)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20210, 20092])).
% 49.64/32.58 tff(20212,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20213,plain,
% 49.64/32.58 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20214,plain,
% 49.64/32.58 (((~![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))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20213])).
% 49.64/32.58 tff(20215,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20214, 20212])).
% 49.64/32.58 tff(20216,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20217,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20216, 20215])).
% 49.64/32.58 tff(20218,plain,
% 49.64/32.58 (v110(constB160) | (~v108(constB159))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20217, 312, 20095])).
% 49.64/32.58 tff(20219,plain,
% 49.64/32.58 (v110(constB160)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20218, 20211])).
% 49.64/32.58 tff(20220,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20221,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20222,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20221, 20220])).
% 49.64/32.58 tff(20223,plain,
% 49.64/32.58 (~v104(constB160)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20222, 330, 20095, 19972])).
% 49.64/32.58 tff(20224,plain,
% 49.64/32.58 (((~![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)) | v102(constB160) | v104(constB160))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20225,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20226,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20225, 20224])).
% 49.64/32.58 tff(20227,plain,
% 49.64/32.58 (v102(constB160) | v104(constB160)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20226, 344, 20095])).
% 49.64/32.58 tff(20228,plain,
% 49.64/32.58 (v102(constB160)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20227, 20223])).
% 49.64/32.58 tff(20229,plain,
% 49.64/32.58 (v1(constB160) <=> v1(constB160)),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20230,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 49.64/32.58 tff(20231,plain,
% 49.64/32.58 (v1(constB160)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 49.64/32.58 tff(20232,plain,
% 49.64/32.58 (((~![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)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20233,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20234,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20233, 20232])).
% 49.64/32.58 tff(20235,plain,
% 49.64/32.58 (v101(constB160) | (~v102(constB160))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20234, 362, 20095, 20231])).
% 49.64/32.58 tff(20236,plain,
% 49.64/32.58 (v101(constB160)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20235, 20228])).
% 49.64/32.58 tff(20237,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20238,plain,
% 49.64/32.58 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20239,plain,
% 49.64/32.58 (((~![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))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20238])).
% 49.64/32.58 tff(20240,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20239, 20237])).
% 49.64/32.58 tff(20241,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20242,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20241, 20240])).
% 49.64/32.58 tff(20243,plain,
% 49.64/32.58 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20242, 377, 20095])).
% 49.64/32.58 tff(20244,plain,
% 49.64/32.58 (v100(constB160) | (~v110(constB160))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20243, 20236])).
% 49.64/32.58 tff(20245,plain,
% 49.64/32.58 ($false),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20244, 20219, 20109])).
% 49.64/32.58 tff(20246,plain,(v127(constB159, 0) | (~v90(constB160, 0))), inference(lemma,lemma(discharge,[]))).
% 49.64/32.58 tff(20247,plain,
% 49.64/32.58 (~v90(constB160, 0)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20246, 20091])).
% 49.64/32.58 tff(20248,plain,
% 49.64/32.58 ((~v1(constB161)) <=> (~v1(constB161))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20249,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 49.64/32.58 tff(20250,plain,
% 49.64/32.58 (~v1(constB161)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20249, 20248])).
% 49.64/32.58 tff(20251,plain,
% 49.64/32.58 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20252,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 49.64/32.58 tff(20253,plain,
% 49.64/32.58 (nextState(constB160, constB161)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 49.64/32.58 tff(20254,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20255,plain,
% 49.64/32.58 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20256,plain,
% 49.64/32.58 (((~![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))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20255])).
% 49.64/32.58 tff(20257,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20256, 20254])).
% 49.64/32.58 tff(20258,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20259,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20258, 20257])).
% 49.64/32.58 tff(20260,plain,
% 49.64/32.58 (~v101(constB161)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20259, 90, 20253, 20250])).
% 49.64/32.58 tff(20261,plain,
% 49.64/32.58 (((~![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)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20262,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20263,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 49.64/32.58 tff(20264,plain,
% 49.64/32.58 (v101(constB161) | (~v100(constB161))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20263, 107, 20253])).
% 49.64/32.58 tff(20265,plain,
% 49.64/32.58 (~v100(constB161)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20264, 20260])).
% 49.64/32.58 tff(20266,plain,
% 49.64/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20267,plain,
% 49.64/32.58 (((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))) <=> (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20268,plain,
% 49.64/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20267])).
% 49.64/32.58 tff(20269,plain,
% 49.64/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20268, 20266])).
% 49.64/32.58 tff(20270,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20271,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20270, 20269])).
% 49.64/32.58 tff(20272,plain,
% 49.64/32.58 (v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20271, 164, 20253])).
% 49.64/32.58 tff(20273,plain,
% 49.64/32.58 (v90(constB160, 0) | (~v90(constB161, 0))),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20272, 20265])).
% 49.64/32.58 tff(20274,plain,
% 49.64/32.58 (~v90(constB161, 0)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20273, 20247])).
% 49.64/32.58 tff(20275,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20276,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20277,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 49.64/32.58 tff(20278,plain,
% 49.64/32.58 (v130(constB159, 1)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20277, 838, 20075])).
% 49.64/32.58 tff(20279,plain,
% 49.64/32.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20280,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20281,plain,
% 49.64/32.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 49.64/32.58 tff(20282,plain,
% 49.64/32.58 ((~v130(constB159, 1)) | v127(constB159, 1)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20281, 852, 20083])).
% 49.64/32.58 tff(20283,plain,
% 49.64/32.58 (v127(constB159, 1)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20282, 20278])).
% 49.64/32.58 tff(20284,plain,
% 49.64/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20285,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20286,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20285, 20284])).
% 49.64/32.58 tff(20287,plain,
% 49.64/32.58 ((~v127(constB159, 1)) | v129(constB160, 1)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20286, 867, 20095])).
% 49.64/32.58 tff(20288,plain,
% 49.64/32.58 (v129(constB160, 1)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20287, 20283])).
% 49.64/32.58 tff(20289,plain,
% 49.64/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20290,plain,
% 49.64/32.58 (((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0)) <=> ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20291,plain,
% 49.64/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0)))),
% 49.64/32.58 inference(monotonicity,[status(thm)],[20290])).
% 49.64/32.58 tff(20292,plain,
% 49.64/32.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 49.64/32.58 inference(transitivity,[status(thm)],[20291, 20289])).
% 49.64/32.58 tff(20293,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))),
% 49.64/32.58 inference(quant_inst,[status(thm)],[])).
% 49.64/32.58 tff(20294,plain,
% 49.64/32.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0)),
% 49.64/32.58 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 49.64/32.58 tff(20295,plain,
% 49.64/32.58 ((~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20294, 563, 20095])).
% 49.64/32.58 tff(20296,plain,
% 49.64/32.58 (v100(constB160)),
% 49.64/32.58 inference(unit_resolution,[status(thm)],[20295, 20247, 20071])).
% 49.64/32.58 tff(20297,plain,
% 49.64/32.58 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20298,plain,
% 49.64/32.58 ((v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1))) <=> (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 49.64/32.58 inference(rewrite,[status(thm)],[])).
% 49.64/32.58 tff(20299,plain,
% 49.64/32.58 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20298])).
% 49.64/32.59 tff(20300,plain,
% 49.64/32.59 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20299, 20297])).
% 49.64/32.59 tff(20301,plain,
% 49.64/32.59 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20302,plain,
% 49.64/32.59 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20301, 20300])).
% 49.64/32.59 tff(20303,plain,
% 49.64/32.59 (v90(constB160, 1)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20302, 882, 20296, 20288])).
% 49.64/32.59 tff(20304,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20305,plain,
% 49.64/32.59 (((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)) <=> ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20306,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20305])).
% 49.64/32.59 tff(20307,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20306, 20304])).
% 49.64/32.59 tff(20308,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20309,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20308, 20307])).
% 49.64/32.59 tff(20310,plain,
% 49.64/32.59 ((~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20309, 900, 20253])).
% 49.64/32.59 tff(20311,plain,
% 49.64/32.59 ((~v90(constB160, 1)) | v90(constB161, 1)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20310, 20265])).
% 49.64/32.59 tff(20312,plain,
% 49.64/32.59 (v90(constB161, 1)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20311, 20303])).
% 49.64/32.59 tff(20313,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20314,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20315,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20314, 20313])).
% 49.64/32.59 tff(20316,plain,
% 49.64/32.59 (~v130(constB159, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20315, 767, 20075])).
% 49.64/32.59 tff(20317,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20318,plain,
% 49.64/32.59 ((v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2))) <=> ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20319,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20318])).
% 49.64/32.59 tff(20320,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20319, 20317])).
% 49.64/32.59 tff(20321,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20322,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20321, 20320])).
% 49.64/32.59 tff(20323,plain,
% 49.64/32.59 ((~v127(constB159, 2)) | v130(constB159, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20322, 593, 20083])).
% 49.64/32.59 tff(20324,plain,
% 49.64/32.59 (~v127(constB159, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20323, 20316])).
% 49.64/32.59 tff(20325,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20326,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20327,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20326, 20325])).
% 49.64/32.59 tff(20328,plain,
% 49.64/32.59 (v127(constB159, 2) | (~v129(constB160, 2))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20327, 611, 20095])).
% 49.64/32.59 tff(20329,plain,
% 49.64/32.59 (~v129(constB160, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20328, 20324])).
% 49.64/32.59 tff(20330,plain,
% 49.64/32.59 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20331,plain,
% 49.64/32.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20332,plain,
% 49.64/32.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20331, 20330])).
% 49.64/32.59 tff(20333,plain,
% 49.64/32.59 (~v90(constB160, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20332, 626, 20296, 20329])).
% 49.64/32.59 tff(20334,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20335,plain,
% 49.64/32.59 (((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))) <=> (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20336,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20335])).
% 49.64/32.59 tff(20337,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20336, 20334])).
% 49.64/32.59 tff(20338,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20339,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20338, 20337])).
% 49.64/32.59 tff(20340,plain,
% 49.64/32.59 (v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20339, 122, 20253])).
% 49.64/32.59 tff(20341,plain,
% 49.64/32.59 (v90(constB160, 2) | (~v90(constB161, 2))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20340, 20265])).
% 49.64/32.59 tff(20342,plain,
% 49.64/32.59 (~v90(constB161, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20341, 20333])).
% 49.64/32.59 tff(20343,assumption,(~v121(constB161)), introduced(assumption)).
% 49.64/32.59 tff(20344,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20345,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20346,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20345, 20344])).
% 49.64/32.59 tff(20347,plain,
% 49.64/32.59 (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20346, 990, 20343])).
% 49.64/32.59 tff(20348,plain,
% 49.64/32.59 ($false),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20347, 20342, 20312, 20274])).
% 49.64/32.59 tff(20349,plain,((~v124(constB155)) | v121(constB161) | v124(constB157)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.59 tff(20350,plain,
% 49.64/32.59 (v121(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20349, 19780, 19663])).
% 49.64/32.59 tff(20351,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20352,plain,
% 49.64/32.59 (((~v121(constB161)) | v117(constB161)) <=> (v117(constB161) | (~v121(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20353,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20352])).
% 49.64/32.59 tff(20354,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20353, 20351])).
% 49.64/32.59 tff(20355,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20356,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20355, 20354])).
% 49.64/32.59 tff(20357,plain,
% 49.64/32.59 (v117(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20356, 1001, 20350])).
% 49.64/32.59 tff(20358,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20359,plain,
% 49.64/32.59 (((~v117(constB161)) | v116(constB161)) <=> (v116(constB161) | (~v117(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20360,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20359])).
% 49.64/32.59 tff(20361,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20360, 20358])).
% 49.64/32.59 tff(20362,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20363,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 49.64/32.59 tff(20364,plain,
% 49.64/32.59 (v116(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20363, 224, 20357])).
% 49.64/32.59 tff(20365,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20366,plain,
% 49.64/32.59 (((~v116(constB161)) | v115(constB161)) <=> (v115(constB161) | (~v116(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20367,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20366])).
% 49.64/32.59 tff(20368,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20367, 20365])).
% 49.64/32.59 tff(20369,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20370,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 49.64/32.59 tff(20371,plain,
% 49.64/32.59 (v115(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20370, 238, 20364])).
% 49.64/32.59 tff(20372,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20373,plain,
% 49.64/32.59 (((~v115(constB161)) | v114(constB161)) <=> (v114(constB161) | (~v115(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20374,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20373])).
% 49.64/32.59 tff(20375,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20374, 20372])).
% 49.64/32.59 tff(20376,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20377,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20376, 20375])).
% 49.64/32.59 tff(20378,plain,
% 49.64/32.59 (v114(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20377, 252, 20371])).
% 49.64/32.59 tff(20379,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20380,plain,
% 49.64/32.59 (((~v114(constB161)) | v113(constB161)) <=> (v113(constB161) | (~v114(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20381,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20380])).
% 49.64/32.59 tff(20382,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20381, 20379])).
% 49.64/32.59 tff(20383,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20384,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20383, 20382])).
% 49.64/32.59 tff(20385,plain,
% 49.64/32.59 (v113(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20384, 266, 20378])).
% 49.64/32.59 tff(20386,assumption,(v26(constB161)), introduced(assumption)).
% 49.64/32.59 tff(20387,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20388,plain,
% 49.64/32.59 ($false),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20387, 43, 20386])).
% 49.64/32.59 tff(20389,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.59 tff(20390,plain,
% 49.64/32.59 (((~![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) | (~v113(constB161)) | v112(constB161))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20391,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20392,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20391, 20390])).
% 49.64/32.59 tff(20393,plain,
% 49.64/32.59 ((~v113(constB161)) | v112(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20392, 280, 20389])).
% 49.64/32.59 tff(20394,plain,
% 49.64/32.59 (v112(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20393, 20385])).
% 49.64/32.59 tff(20395,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20396,plain,
% 49.64/32.59 (((~v112(constB161)) | v108(constB161)) <=> (v108(constB161) | (~v112(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20397,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20396])).
% 49.64/32.59 tff(20398,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20397, 20395])).
% 49.64/32.59 tff(20399,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20400,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20399, 20398])).
% 49.64/32.59 tff(20401,plain,
% 49.64/32.59 (v108(constB161)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20400, 292, 20394])).
% 49.64/32.59 tff(20402,plain,
% 49.64/32.59 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20403,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 49.64/32.59 tff(20404,plain,
% 49.64/32.59 (nextState(constB161, constB162)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20403, 20402])).
% 49.64/32.59 tff(20405,plain,
% 49.64/32.59 (((~![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)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20406,plain,
% 49.64/32.59 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20407,plain,
% 49.64/32.59 (((~![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))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20406])).
% 49.64/32.59 tff(20408,plain,
% 49.64/32.59 (((~![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)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20407, 20405])).
% 49.64/32.59 tff(20409,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20410,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20409, 20408])).
% 49.64/32.59 tff(20411,plain,
% 49.64/32.59 (v110(constB162) | (~v108(constB161))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20410, 312, 20404])).
% 49.64/32.59 tff(20412,plain,
% 49.64/32.59 (v110(constB162)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20411, 20401])).
% 49.64/32.59 tff(20413,plain,
% 49.64/32.59 (((~![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)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20414,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20415,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 49.64/32.59 tff(20416,plain,
% 49.64/32.59 (~v104(constB162)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20415, 330, 20404, 20250])).
% 49.64/32.59 tff(20417,plain,
% 49.64/32.59 (((~![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)) | v102(constB162) | v104(constB162))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20418,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20419,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 49.64/32.59 tff(20420,plain,
% 49.64/32.59 (v102(constB162) | v104(constB162)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20419, 344, 20404])).
% 49.64/32.59 tff(20421,plain,
% 49.64/32.59 (v102(constB162)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20420, 20416])).
% 49.64/32.59 tff(20422,plain,
% 49.64/32.59 (v1(constB162) <=> v1(constB162)),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20423,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 49.64/32.59 tff(20424,plain,
% 49.64/32.59 (v1(constB162)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 49.64/32.59 tff(20425,plain,
% 49.64/32.59 (((~![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)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20426,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20427,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 49.64/32.59 tff(20428,plain,
% 49.64/32.59 (v101(constB162) | (~v102(constB162))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20427, 362, 20404, 20424])).
% 49.64/32.59 tff(20429,plain,
% 49.64/32.59 (v101(constB162)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20428, 20421])).
% 49.64/32.59 tff(20430,plain,
% 49.64/32.59 (((~![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)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20431,plain,
% 49.64/32.59 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20432,plain,
% 49.64/32.59 (((~![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))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20431])).
% 49.64/32.59 tff(20433,plain,
% 49.64/32.59 (((~![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)))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20432, 20430])).
% 49.64/32.59 tff(20434,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20435,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20434, 20433])).
% 49.64/32.59 tff(20436,plain,
% 49.64/32.59 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20435, 377, 20404])).
% 49.64/32.59 tff(20437,plain,
% 49.64/32.59 (v100(constB162) | (~v110(constB162))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20436, 20429])).
% 49.64/32.59 tff(20438,plain,
% 49.64/32.59 (v100(constB162)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20437, 20412])).
% 49.64/32.59 tff(20439,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20440,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20441,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20440, 20439])).
% 49.64/32.59 tff(20442,plain,
% 49.64/32.59 (~v130(constB161, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20441, 1090, 20350])).
% 49.64/32.59 tff(20443,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20444,plain,
% 49.64/32.59 ((v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2))) <=> ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20445,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20444])).
% 49.64/32.59 tff(20446,plain,
% 49.64/32.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 49.64/32.59 inference(transitivity,[status(thm)],[20445, 20443])).
% 49.64/32.59 tff(20447,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20448,plain,
% 49.64/32.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20447, 20446])).
% 49.64/32.59 tff(20449,plain,
% 49.64/32.59 ((~v127(constB161, 2)) | v130(constB161, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20448, 593, 20389])).
% 49.64/32.59 tff(20450,plain,
% 49.64/32.59 (~v127(constB161, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20449, 20442])).
% 49.64/32.59 tff(20451,plain,
% 49.64/32.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20452,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20453,plain,
% 49.64/32.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20452, 20451])).
% 49.64/32.59 tff(20454,plain,
% 49.64/32.59 (v127(constB161, 2) | (~v129(constB162, 2))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20453, 611, 20404])).
% 49.64/32.59 tff(20455,plain,
% 49.64/32.59 (~v129(constB162, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20454, 20450])).
% 49.64/32.59 tff(20456,plain,
% 49.64/32.59 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20457,plain,
% 49.64/32.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 49.64/32.59 inference(quant_inst,[status(thm)],[])).
% 49.64/32.59 tff(20458,plain,
% 49.64/32.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162))),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20457, 20456])).
% 49.64/32.59 tff(20459,plain,
% 49.64/32.59 ((~v90(constB162, 2)) | (~v100(constB162))),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20458, 626, 20455])).
% 49.64/32.59 tff(20460,plain,
% 49.64/32.59 (~v90(constB162, 2)),
% 49.64/32.59 inference(unit_resolution,[status(thm)],[20459, 20438])).
% 49.64/32.59 tff(20461,plain,
% 49.64/32.59 ((~v1(constB163)) <=> (~v1(constB163))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20462,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 49.64/32.59 tff(20463,plain,
% 49.64/32.59 (~v1(constB163)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20462, 20461])).
% 49.64/32.59 tff(20464,plain,
% 49.64/32.59 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20465,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 49.64/32.59 tff(20466,plain,
% 49.64/32.59 (nextState(constB162, constB163)),
% 49.64/32.59 inference(modus_ponens,[status(thm)],[20465, 20464])).
% 49.64/32.59 tff(20467,plain,
% 49.64/32.59 (((~![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)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20468,plain,
% 49.64/32.59 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 49.64/32.59 inference(rewrite,[status(thm)],[])).
% 49.64/32.59 tff(20469,plain,
% 49.64/32.59 (((~![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))))),
% 49.64/32.59 inference(monotonicity,[status(thm)],[20468])).
% 49.64/32.59 tff(20470,plain,
% 49.64/32.59 (((~![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)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20469, 20467])).
% 49.64/32.60 tff(20471,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20472,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20471, 20470])).
% 49.64/32.60 tff(20473,plain,
% 49.64/32.60 (~v101(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20472, 90, 20466, 20463])).
% 49.64/32.60 tff(20474,plain,
% 49.64/32.60 (((~![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)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20475,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20476,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 49.64/32.60 tff(20477,plain,
% 49.64/32.60 (v101(constB163) | (~v100(constB163))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20476, 107, 20466])).
% 49.64/32.60 tff(20478,plain,
% 49.64/32.60 (~v100(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20477, 20473])).
% 49.64/32.60 tff(20479,plain,
% 49.64/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20480,plain,
% 49.64/32.60 (((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))) <=> (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20481,plain,
% 49.64/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20480])).
% 49.64/32.60 tff(20482,plain,
% 49.64/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20481, 20479])).
% 49.64/32.60 tff(20483,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20484,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20483, 20482])).
% 49.64/32.60 tff(20485,plain,
% 49.64/32.60 (v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20484, 122, 20466])).
% 49.64/32.60 tff(20486,plain,
% 49.64/32.60 (v90(constB162, 2) | (~v90(constB163, 2))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20485, 20478])).
% 49.64/32.60 tff(20487,plain,
% 49.64/32.60 (~v90(constB163, 2)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20486, 20460])).
% 49.64/32.60 tff(20488,assumption,(~v116(constB163)), introduced(assumption)).
% 49.64/32.60 tff(20489,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v117(constB163)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v117(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20490,plain,
% 49.64/32.60 (((~v117(constB163)) | v116(constB163)) <=> (v116(constB163) | (~v117(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20491,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v117(constB163))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20490])).
% 49.64/32.60 tff(20492,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v117(constB163)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20491, 20489])).
% 49.64/32.60 tff(20493,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB163)) | v116(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20494,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v117(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20493, 20492])).
% 49.64/32.60 tff(20495,plain,
% 49.64/32.60 (~v117(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20494, 224, 20488])).
% 49.64/32.60 tff(20496,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB163)) | v117(constB163))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB163)) | v117(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20497,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB163)) | v117(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20498,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB163)) | v117(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20497, 20496])).
% 49.64/32.60 tff(20499,plain,
% 49.64/32.60 (~v118(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20498, 210, 20495])).
% 49.64/32.60 tff(20500,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB163)) | v118(constB163))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB163)) | v118(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20501,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB163)) | v118(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20502,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB163)) | v118(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20501, 20500])).
% 49.64/32.60 tff(20503,plain,
% 49.64/32.60 (~v120(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20502, 665, 20499])).
% 49.64/32.60 tff(20504,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB163)) | v117(constB163))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB163)) | v117(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20505,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB163)) | v117(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20506,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB163)) | v117(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20505, 20504])).
% 49.64/32.60 tff(20507,plain,
% 49.64/32.60 (~v121(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20506, 1001, 20495])).
% 49.64/32.60 tff(20508,assumption,(~v90(constB163, 2)), introduced(assumption)).
% 49.64/32.60 tff(20509,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB163)) | v118(constB163))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB163)) | v118(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20510,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB163)) | v118(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20511,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB163)) | v118(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 49.64/32.60 tff(20512,plain,
% 49.64/32.60 (~v119(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20511, 199, 20499])).
% 49.64/32.60 tff(20513,assumption,(~v119(constB163)), introduced(assumption)).
% 49.64/32.60 tff(20514,assumption,(~v90(constB163, 0)), introduced(assumption)).
% 49.64/32.60 tff(20515,assumption,(~v121(constB163)), introduced(assumption)).
% 49.64/32.60 tff(20516,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20517,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20518,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 49.64/32.60 tff(20519,plain,
% 49.64/32.60 (v90(constB163, 0) | (~v90(constB163, 1)) | v121(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20518, 990, 20508])).
% 49.64/32.60 tff(20520,plain,
% 49.64/32.60 (~v90(constB163, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20519, 20514, 20515])).
% 49.64/32.60 tff(20521,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB163, 0) | v90(constB163, 1) | v90(constB163, 2) | v119(constB163))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB163, 0) | v90(constB163, 1) | v90(constB163, 2) | v119(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20522,plain,
% 49.64/32.60 ((v90(constB163, 0) | v119(constB163) | v90(constB163, 1) | v90(constB163, 2)) <=> (v90(constB163, 0) | v90(constB163, 1) | v90(constB163, 2) | v119(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20523,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB163, 0) | v119(constB163) | v90(constB163, 1) | v90(constB163, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB163, 0) | v90(constB163, 1) | v90(constB163, 2) | v119(constB163)))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20522])).
% 49.64/32.60 tff(20524,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB163, 0) | v119(constB163) | v90(constB163, 1) | v90(constB163, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB163, 0) | v90(constB163, 1) | v90(constB163, 2) | v119(constB163))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20523, 20521])).
% 49.64/32.60 tff(20525,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB163, 0) | v119(constB163) | v90(constB163, 1) | v90(constB163, 2))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20526,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB163, 0) | v90(constB163, 1) | v90(constB163, 2) | v119(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 49.64/32.60 tff(20527,plain,
% 49.64/32.60 (v90(constB163, 0) | v90(constB163, 1) | v119(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20526, 185, 20508])).
% 49.64/32.60 tff(20528,plain,
% 49.64/32.60 ($false),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20527, 20520, 20514, 20513])).
% 49.64/32.60 tff(20529,plain,(v90(constB163, 0) | v119(constB163) | v90(constB163, 2) | v121(constB163)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.60 tff(20530,plain,
% 49.64/32.60 (v90(constB163, 0)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20529, 20512, 20508, 20507])).
% 49.64/32.60 tff(20531,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v122(constB163)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20532,plain,
% 49.64/32.60 (((~v122(constB163)) | v116(constB163)) <=> (v116(constB163) | (~v122(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20533,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v122(constB163))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20532])).
% 49.64/32.60 tff(20534,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20533, 20531])).
% 49.64/32.60 tff(20535,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20536,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20535, 20534])).
% 49.64/32.60 tff(20537,plain,
% 49.64/32.60 (~v122(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20536, 1236, 20488])).
% 49.64/32.60 tff(20538,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20539,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20540,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20539, 20538])).
% 49.64/32.60 tff(20541,plain,
% 49.64/32.60 ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v122(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20540, 1225, 20508])).
% 49.64/32.60 tff(20542,plain,
% 49.64/32.60 (~v90(constB163, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20541, 20530, 20537])).
% 49.64/32.60 tff(20543,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20544,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20545,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20544, 20543])).
% 49.64/32.60 tff(20546,plain,
% 49.64/32.60 ((~v90(constB163, 0)) | v90(constB163, 1) | v120(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20545, 651, 20508])).
% 49.64/32.60 tff(20547,plain,
% 49.64/32.60 ($false),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20546, 20542, 20530, 20503])).
% 49.64/32.60 tff(20548,plain,(v116(constB163) | v90(constB163, 2)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.60 tff(20549,plain,
% 49.64/32.60 (v116(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20548, 20487])).
% 49.64/32.60 tff(20550,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20551,plain,
% 49.64/32.60 (((~v116(constB163)) | v115(constB163)) <=> (v115(constB163) | (~v116(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20552,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20551])).
% 49.64/32.60 tff(20553,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20552, 20550])).
% 49.64/32.60 tff(20554,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20555,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 49.64/32.60 tff(20556,plain,
% 49.64/32.60 (v115(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20555, 238, 20549])).
% 49.64/32.60 tff(20557,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20558,plain,
% 49.64/32.60 (((~v115(constB163)) | v114(constB163)) <=> (v114(constB163) | (~v115(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20559,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20558])).
% 49.64/32.60 tff(20560,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20559, 20557])).
% 49.64/32.60 tff(20561,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20562,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20561, 20560])).
% 49.64/32.60 tff(20563,plain,
% 49.64/32.60 (v114(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20562, 252, 20556])).
% 49.64/32.60 tff(20564,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20565,plain,
% 49.64/32.60 (((~v114(constB163)) | v113(constB163)) <=> (v113(constB163) | (~v114(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20566,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20565])).
% 49.64/32.60 tff(20567,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20566, 20564])).
% 49.64/32.60 tff(20568,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20569,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20568, 20567])).
% 49.64/32.60 tff(20570,plain,
% 49.64/32.60 (v113(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20569, 266, 20563])).
% 49.64/32.60 tff(20571,assumption,(v26(constB163)), introduced(assumption)).
% 49.64/32.60 tff(20572,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20573,plain,
% 49.64/32.60 ($false),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20572, 43, 20571])).
% 49.64/32.60 tff(20574,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.60 tff(20575,plain,
% 49.64/32.60 (((~![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) | (~v113(constB163)) | v112(constB163))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20576,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20577,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20576, 20575])).
% 49.64/32.60 tff(20578,plain,
% 49.64/32.60 ((~v113(constB163)) | v112(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20577, 280, 20574])).
% 49.64/32.60 tff(20579,plain,
% 49.64/32.60 (v112(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20578, 20570])).
% 49.64/32.60 tff(20580,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20581,plain,
% 49.64/32.60 (((~v112(constB163)) | v108(constB163)) <=> (v108(constB163) | (~v112(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20582,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20581])).
% 49.64/32.60 tff(20583,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20582, 20580])).
% 49.64/32.60 tff(20584,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20585,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20584, 20583])).
% 49.64/32.60 tff(20586,plain,
% 49.64/32.60 (v108(constB163)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20585, 292, 20579])).
% 49.64/32.60 tff(20587,plain,
% 49.64/32.60 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20588,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 49.64/32.60 tff(20589,plain,
% 49.64/32.60 (nextState(constB163, constB164)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20588, 20587])).
% 49.64/32.60 tff(20590,plain,
% 49.64/32.60 (((~![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)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20591,plain,
% 49.64/32.60 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20592,plain,
% 49.64/32.60 (((~![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))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20591])).
% 49.64/32.60 tff(20593,plain,
% 49.64/32.60 (((~![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)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20592, 20590])).
% 49.64/32.60 tff(20594,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20595,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 49.64/32.60 tff(20596,plain,
% 49.64/32.60 (v110(constB164) | (~v108(constB163))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20595, 312, 20589])).
% 49.64/32.60 tff(20597,plain,
% 49.64/32.60 (v110(constB164)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20596, 20586])).
% 49.64/32.60 tff(20598,plain,
% 49.64/32.60 (((~![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)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20599,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20600,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20599, 20598])).
% 49.64/32.60 tff(20601,plain,
% 49.64/32.60 (~v104(constB164)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20600, 330, 20589, 20463])).
% 49.64/32.60 tff(20602,plain,
% 49.64/32.60 (((~![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)) | v102(constB164) | v104(constB164))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20603,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20604,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20603, 20602])).
% 49.64/32.60 tff(20605,plain,
% 49.64/32.60 (v102(constB164) | v104(constB164)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20604, 344, 20589])).
% 49.64/32.60 tff(20606,plain,
% 49.64/32.60 (v102(constB164)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20605, 20601])).
% 49.64/32.60 tff(20607,plain,
% 49.64/32.60 (v1(constB164) <=> v1(constB164)),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20608,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 49.64/32.60 tff(20609,plain,
% 49.64/32.60 (v1(constB164)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20608, 20607])).
% 49.64/32.60 tff(20610,plain,
% 49.64/32.60 (((~![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)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20611,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20612,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20611, 20610])).
% 49.64/32.60 tff(20613,plain,
% 49.64/32.60 (v101(constB164) | (~v102(constB164))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20612, 362, 20589, 20609])).
% 49.64/32.60 tff(20614,plain,
% 49.64/32.60 (v101(constB164)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20613, 20606])).
% 49.64/32.60 tff(20615,plain,
% 49.64/32.60 (((~![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)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20616,plain,
% 49.64/32.60 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20617,plain,
% 49.64/32.60 (((~![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))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20616])).
% 49.64/32.60 tff(20618,plain,
% 49.64/32.60 (((~![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)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20617, 20615])).
% 49.64/32.60 tff(20619,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20620,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 49.64/32.60 tff(20621,plain,
% 49.64/32.60 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20620, 377, 20589])).
% 49.64/32.60 tff(20622,plain,
% 49.64/32.60 (v100(constB164) | (~v110(constB164))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20621, 20614])).
% 49.64/32.60 tff(20623,plain,
% 49.64/32.60 (v100(constB164)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20622, 20597])).
% 49.64/32.60 tff(20624,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20625,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20626,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20625, 20624])).
% 49.64/32.60 tff(20627,plain,
% 49.64/32.60 (v130(constB161, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20626, 1146, 20350])).
% 49.64/32.60 tff(20628,plain,
% 49.64/32.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20629,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20630,plain,
% 49.64/32.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 49.64/32.60 tff(20631,plain,
% 49.64/32.60 ((~v130(constB161, 1)) | v127(constB161, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20630, 852, 20389])).
% 49.64/32.60 tff(20632,plain,
% 49.64/32.60 (v127(constB161, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20631, 20627])).
% 49.64/32.60 tff(20633,plain,
% 49.64/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20634,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20635,plain,
% 49.64/32.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1)),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 49.64/32.60 tff(20636,plain,
% 49.64/32.60 ((~v127(constB161, 1)) | v129(constB162, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20635, 867, 20404])).
% 49.64/32.60 tff(20637,plain,
% 49.64/32.60 (v129(constB162, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20636, 20632])).
% 49.64/32.60 tff(20638,plain,
% 49.64/32.60 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20639,plain,
% 49.64/32.60 ((v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1))) <=> (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20640,plain,
% 49.64/32.60 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))))),
% 49.64/32.60 inference(monotonicity,[status(thm)],[20639])).
% 49.64/32.60 tff(20641,plain,
% 49.64/32.60 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 49.64/32.60 inference(transitivity,[status(thm)],[20640, 20638])).
% 49.64/32.60 tff(20642,plain,
% 49.64/32.60 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))),
% 49.64/32.60 inference(quant_inst,[status(thm)],[])).
% 49.64/32.60 tff(20643,plain,
% 49.64/32.60 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))),
% 49.64/32.60 inference(modus_ponens,[status(thm)],[20642, 20641])).
% 49.64/32.60 tff(20644,plain,
% 49.64/32.60 (v90(constB162, 1) | (~v100(constB162))),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20643, 882, 20637])).
% 49.64/32.60 tff(20645,plain,
% 49.64/32.60 (v90(constB162, 1)),
% 49.64/32.60 inference(unit_resolution,[status(thm)],[20644, 20438])).
% 49.64/32.60 tff(20646,plain,
% 49.64/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20647,plain,
% 49.64/32.60 (((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)) <=> ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 49.64/32.60 inference(rewrite,[status(thm)],[])).
% 49.64/32.60 tff(20648,plain,
% 49.64/32.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20647])).
% 49.64/32.61 tff(20649,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20648, 20646])).
% 49.64/32.61 tff(20650,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20651,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20650, 20649])).
% 49.64/32.61 tff(20652,plain,
% 49.64/32.61 ((~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20651, 900, 20466])).
% 49.64/32.61 tff(20653,plain,
% 49.64/32.61 ((~v90(constB162, 1)) | v90(constB163, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20652, 20478])).
% 49.64/32.61 tff(20654,plain,
% 49.64/32.61 (v90(constB163, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20653, 20645])).
% 49.64/32.61 tff(20655,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20656,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20657,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 49.64/32.61 tff(20658,plain,
% 49.64/32.61 (v130(constB161, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20657, 1184, 20350])).
% 49.64/32.61 tff(20659,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20660,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20661,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20660, 20659])).
% 49.64/32.61 tff(20662,plain,
% 49.64/32.61 ((~v130(constB161, 0)) | v127(constB161, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20661, 515, 20389])).
% 49.64/32.61 tff(20663,plain,
% 49.64/32.61 (v127(constB161, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20662, 20658])).
% 49.64/32.61 tff(20664,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20665,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20666,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20665, 20664])).
% 49.64/32.61 tff(20667,plain,
% 49.64/32.61 ((~v127(constB161, 0)) | v129(constB162, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20666, 530, 20404])).
% 49.64/32.61 tff(20668,plain,
% 49.64/32.61 (v129(constB162, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20667, 20663])).
% 49.64/32.61 tff(20669,plain,
% 49.64/32.61 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20670,plain,
% 49.64/32.61 ((v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0))) <=> (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20671,plain,
% 49.64/32.61 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20670])).
% 49.64/32.61 tff(20672,plain,
% 49.64/32.61 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20671, 20669])).
% 49.64/32.61 tff(20673,plain,
% 49.64/32.61 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20674,plain,
% 49.64/32.61 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20673, 20672])).
% 49.64/32.61 tff(20675,plain,
% 49.64/32.61 (v90(constB162, 0) | (~v100(constB162))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20674, 545, 20668])).
% 49.64/32.61 tff(20676,plain,
% 49.64/32.61 (v90(constB162, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20675, 20438])).
% 49.64/32.61 tff(20677,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20678,plain,
% 49.64/32.61 (((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)) <=> ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20679,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20678])).
% 49.64/32.61 tff(20680,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20679, 20677])).
% 49.64/32.61 tff(20681,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20682,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20681, 20680])).
% 49.64/32.61 tff(20683,plain,
% 49.64/32.61 ((~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20682, 563, 20466])).
% 49.64/32.61 tff(20684,plain,
% 49.64/32.61 ((~v90(constB162, 0)) | v90(constB163, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20683, 20478])).
% 49.64/32.61 tff(20685,plain,
% 49.64/32.61 (v90(constB163, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20684, 20676])).
% 49.64/32.61 tff(20686,plain,
% 49.64/32.61 (v122(constB163)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20540, 1225, 20685, 20654, 20487])).
% 49.64/32.61 tff(20687,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20688,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20689,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 49.64/32.61 tff(20690,plain,
% 49.64/32.61 (v130(constB163, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20689, 1314, 20686])).
% 49.64/32.61 tff(20691,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20692,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20693,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20692, 20691])).
% 49.64/32.61 tff(20694,plain,
% 49.64/32.61 ((~v130(constB163, 2)) | v127(constB163, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20693, 1328, 20574])).
% 49.64/32.61 tff(20695,plain,
% 49.64/32.61 (v127(constB163, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20694, 20690])).
% 49.64/32.61 tff(20696,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20697,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20698,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20697, 20696])).
% 49.64/32.61 tff(20699,plain,
% 49.64/32.61 ((~v127(constB163, 2)) | v129(constB164, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20698, 1343, 20589])).
% 49.64/32.61 tff(20700,plain,
% 49.64/32.61 (v129(constB164, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20699, 20695])).
% 49.64/32.61 tff(20701,plain,
% 49.64/32.61 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20702,plain,
% 49.64/32.61 ((v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2))) <=> (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20703,plain,
% 49.64/32.61 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20702])).
% 49.64/32.61 tff(20704,plain,
% 49.64/32.61 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20703, 20701])).
% 49.64/32.61 tff(20705,plain,
% 49.64/32.61 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20706,plain,
% 49.64/32.61 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 49.64/32.61 tff(20707,plain,
% 49.64/32.61 (v90(constB164, 2) | (~v100(constB164))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20706, 1358, 20700])).
% 49.64/32.61 tff(20708,plain,
% 49.64/32.61 (v90(constB164, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20707, 20623])).
% 49.64/32.61 tff(20709,plain,
% 49.64/32.61 ((~v1(constB165)) <=> (~v1(constB165))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20710,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 49.64/32.61 tff(20711,plain,
% 49.64/32.61 (~v1(constB165)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20710, 20709])).
% 49.64/32.61 tff(20712,plain,
% 49.64/32.61 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20713,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 49.64/32.61 tff(20714,plain,
% 49.64/32.61 (nextState(constB164, constB165)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20713, 20712])).
% 49.64/32.61 tff(20715,plain,
% 49.64/32.61 (((~![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)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20716,plain,
% 49.64/32.61 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20717,plain,
% 49.64/32.61 (((~![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))))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20716])).
% 49.64/32.61 tff(20718,plain,
% 49.64/32.61 (((~![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)))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20717, 20715])).
% 49.64/32.61 tff(20719,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20720,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20719, 20718])).
% 49.64/32.61 tff(20721,plain,
% 49.64/32.61 (~v101(constB165)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20720, 90, 20714, 20711])).
% 49.64/32.61 tff(20722,plain,
% 49.64/32.61 (((~![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)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20723,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20724,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 49.64/32.61 tff(20725,plain,
% 49.64/32.61 (v101(constB165) | (~v100(constB165))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20724, 107, 20714])).
% 49.64/32.61 tff(20726,plain,
% 49.64/32.61 (~v100(constB165)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20725, 20721])).
% 49.64/32.61 tff(20727,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20728,plain,
% 49.64/32.61 (((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)) <=> ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20729,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20728])).
% 49.64/32.61 tff(20730,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20729, 20727])).
% 49.64/32.61 tff(20731,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20732,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 49.64/32.61 tff(20733,plain,
% 49.64/32.61 ((~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20732, 1394, 20714])).
% 49.64/32.61 tff(20734,plain,
% 49.64/32.61 ((~v90(constB164, 2)) | v90(constB165, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20733, 20726])).
% 49.64/32.61 tff(20735,plain,
% 49.64/32.61 (v90(constB165, 2)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20734, 20708])).
% 49.64/32.61 tff(20736,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20737,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20738,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 49.64/32.61 tff(20739,plain,
% 49.64/32.61 (~v130(constB163, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20738, 1410, 20686])).
% 49.64/32.61 tff(20740,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20741,plain,
% 49.64/32.61 ((v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1))) <=> ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20742,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20741])).
% 49.64/32.61 tff(20743,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20742, 20740])).
% 49.64/32.61 tff(20744,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20745,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20744, 20743])).
% 49.64/32.61 tff(20746,plain,
% 49.64/32.61 ((~v127(constB163, 1)) | v130(constB163, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20745, 408, 20574])).
% 49.64/32.61 tff(20747,plain,
% 49.64/32.61 (~v127(constB163, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20746, 20739])).
% 49.64/32.61 tff(20748,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20749,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20750,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20749, 20748])).
% 49.64/32.61 tff(20751,plain,
% 49.64/32.61 (v127(constB163, 1) | (~v129(constB164, 1))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20750, 438, 20589])).
% 49.64/32.61 tff(20752,plain,
% 49.64/32.61 (~v129(constB164, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20751, 20747])).
% 49.64/32.61 tff(20753,plain,
% 49.64/32.61 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20754,plain,
% 49.64/32.61 (((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1)) <=> ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20755,plain,
% 49.64/32.61 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20754])).
% 49.64/32.61 tff(20756,plain,
% 49.64/32.61 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20755, 20753])).
% 49.64/32.61 tff(20757,plain,
% 49.64/32.61 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20758,plain,
% 49.64/32.61 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 49.64/32.61 tff(20759,plain,
% 49.64/32.61 ((~v90(constB164, 1)) | (~v100(constB164))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20758, 453, 20752])).
% 49.64/32.61 tff(20760,plain,
% 49.64/32.61 (~v90(constB164, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20759, 20623])).
% 49.64/32.61 tff(20761,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20762,plain,
% 49.64/32.61 (((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))) <=> (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20763,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20762])).
% 49.64/32.61 tff(20764,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20763, 20761])).
% 49.64/32.61 tff(20765,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20766,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20765, 20764])).
% 49.64/32.61 tff(20767,plain,
% 49.64/32.61 (v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20766, 143, 20714])).
% 49.64/32.61 tff(20768,plain,
% 49.64/32.61 (v90(constB164, 1) | (~v90(constB165, 1))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20767, 20726])).
% 49.64/32.61 tff(20769,plain,
% 49.64/32.61 (~v90(constB165, 1)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20768, 20760])).
% 49.64/32.61 tff(20770,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20771,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20772,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 49.64/32.61 tff(20773,plain,
% 49.64/32.61 (~v130(constB163, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20772, 1451, 20686])).
% 49.64/32.61 tff(20774,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20775,plain,
% 49.64/32.61 ((v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0))) <=> ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20776,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20775])).
% 49.64/32.61 tff(20777,plain,
% 49.64/32.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 49.64/32.61 inference(transitivity,[status(thm)],[20776, 20774])).
% 49.64/32.61 tff(20778,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20779,plain,
% 49.64/32.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20778, 20777])).
% 49.64/32.61 tff(20780,plain,
% 49.64/32.61 ((~v127(constB163, 0)) | v130(constB163, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20779, 930, 20574])).
% 49.64/32.61 tff(20781,plain,
% 49.64/32.61 (~v127(constB163, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20780, 20773])).
% 49.64/32.61 tff(20782,plain,
% 49.64/32.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20783,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 49.64/32.61 inference(quant_inst,[status(thm)],[])).
% 49.64/32.61 tff(20784,plain,
% 49.64/32.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0))),
% 49.64/32.61 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 49.64/32.61 tff(20785,plain,
% 49.64/32.61 (v127(constB163, 0) | (~v129(constB164, 0))),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20784, 948, 20589])).
% 49.64/32.61 tff(20786,plain,
% 49.64/32.61 (~v129(constB164, 0)),
% 49.64/32.61 inference(unit_resolution,[status(thm)],[20785, 20781])).
% 49.64/32.61 tff(20787,plain,
% 49.64/32.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20788,plain,
% 49.64/32.61 (((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0)) <=> ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 49.64/32.61 inference(rewrite,[status(thm)],[])).
% 49.64/32.61 tff(20789,plain,
% 49.64/32.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))))),
% 49.64/32.61 inference(monotonicity,[status(thm)],[20788])).
% 49.64/32.61 tff(20790,plain,
% 49.64/32.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20789, 20787])).
% 49.64/32.62 tff(20791,plain,
% 49.64/32.62 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20792,plain,
% 49.64/32.62 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20791, 20790])).
% 49.64/32.62 tff(20793,plain,
% 49.64/32.62 ((~v90(constB164, 0)) | (~v100(constB164))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20792, 963, 20786])).
% 49.64/32.62 tff(20794,plain,
% 49.64/32.62 (~v90(constB164, 0)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20793, 20623])).
% 49.64/32.62 tff(20795,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20796,plain,
% 49.64/32.62 (((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))) <=> (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20797,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20796])).
% 49.64/32.62 tff(20798,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20797, 20795])).
% 49.64/32.62 tff(20799,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20800,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 49.64/32.62 tff(20801,plain,
% 49.64/32.62 (v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20800, 164, 20714])).
% 49.64/32.62 tff(20802,plain,
% 49.64/32.62 (v90(constB164, 0) | (~v90(constB165, 0))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20801, 20726])).
% 49.64/32.62 tff(20803,plain,
% 49.64/32.62 (~v90(constB165, 0)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20802, 20794])).
% 49.64/32.62 tff(20804,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20805,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20806,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20805, 20804])).
% 49.64/32.62 tff(20807,plain,
% 49.64/32.62 (v123(constB165)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20806, 1495, 20803, 20769, 20735])).
% 49.64/32.62 tff(20808,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB165)) | v115(constB165))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20809,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20810,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB165)) | v115(constB165)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 49.64/32.62 tff(20811,plain,
% 49.64/32.62 (v115(constB165)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20810, 1506, 20807])).
% 49.64/32.62 tff(20812,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB165)) | v114(constB165))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20813,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20814,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB165)) | v114(constB165)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20813, 20812])).
% 49.64/32.62 tff(20815,plain,
% 49.64/32.62 (v114(constB165)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20814, 252, 20811])).
% 49.64/32.62 tff(20816,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB165)) | v113(constB165))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20817,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20818,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB165)) | v113(constB165)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20817, 20816])).
% 49.64/32.62 tff(20819,plain,
% 49.64/32.62 (v113(constB165)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20818, 266, 20815])).
% 49.64/32.62 tff(20820,assumption,(v26(constB165)), introduced(assumption)).
% 49.64/32.62 tff(20821,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20822,plain,
% 49.64/32.62 ($false),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20821, 43, 20820])).
% 49.64/32.62 tff(20823,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.62 tff(20824,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20825,plain,
% 49.64/32.62 ((v26(constB165) | (~v113(constB165)) | v112(constB165)) <=> (v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20826,plain,
% 49.64/32.62 (((~![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))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20825])).
% 49.64/32.62 tff(20827,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20826, 20824])).
% 49.64/32.62 tff(20828,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20829,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 49.64/32.62 tff(20830,plain,
% 49.64/32.62 (v112(constB165) | (~v113(constB165))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20829, 280, 20823])).
% 49.64/32.62 tff(20831,plain,
% 49.64/32.62 (v112(constB165)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20830, 20819])).
% 49.64/32.62 tff(20832,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20833,plain,
% 49.64/32.62 (((~v112(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v112(constB165)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20834,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20833])).
% 49.64/32.62 tff(20835,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20834, 20832])).
% 49.64/32.62 tff(20836,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20837,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20836, 20835])).
% 49.64/32.62 tff(20838,plain,
% 49.64/32.62 (v108(constB165)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20837, 292, 20831])).
% 49.64/32.62 tff(20839,plain,
% 49.64/32.62 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20840,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 49.64/32.62 tff(20841,plain,
% 49.64/32.62 (nextState(constB165, constB166)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20840, 20839])).
% 49.64/32.62 tff(20842,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20843,plain,
% 49.64/32.62 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20844,plain,
% 49.64/32.62 (((~![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))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20843])).
% 49.64/32.62 tff(20845,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20844, 20842])).
% 49.64/32.62 tff(20846,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20847,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20846, 20845])).
% 49.64/32.62 tff(20848,plain,
% 49.64/32.62 (v110(constB166) | (~v108(constB165))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20847, 312, 20841])).
% 49.64/32.62 tff(20849,plain,
% 49.64/32.62 (v110(constB166)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20848, 20838])).
% 49.64/32.62 tff(20850,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20851,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20852,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20851, 20850])).
% 49.64/32.62 tff(20853,plain,
% 49.64/32.62 (~v104(constB166)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20852, 330, 20841, 20711])).
% 49.64/32.62 tff(20854,plain,
% 49.64/32.62 (((~![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)) | v102(constB166) | v104(constB166))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20855,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20856,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20855, 20854])).
% 49.64/32.62 tff(20857,plain,
% 49.64/32.62 (v102(constB166) | v104(constB166)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20856, 344, 20841])).
% 49.64/32.62 tff(20858,plain,
% 49.64/32.62 (v102(constB166)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20857, 20853])).
% 49.64/32.62 tff(20859,plain,
% 49.64/32.62 (v1(constB166) <=> v1(constB166)),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20860,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 49.64/32.62 tff(20861,plain,
% 49.64/32.62 (v1(constB166)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20860, 20859])).
% 49.64/32.62 tff(20862,plain,
% 49.64/32.62 (((~![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)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20863,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20864,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 49.64/32.62 tff(20865,plain,
% 49.64/32.62 (v101(constB166) | (~v102(constB166))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20864, 362, 20841, 20861])).
% 49.64/32.62 tff(20866,plain,
% 49.64/32.62 (v101(constB166)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20865, 20858])).
% 49.64/32.62 tff(20867,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20868,plain,
% 49.64/32.62 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20869,plain,
% 49.64/32.62 (((~![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))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20868])).
% 49.64/32.62 tff(20870,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20869, 20867])).
% 49.64/32.62 tff(20871,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20872,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20871, 20870])).
% 49.64/32.62 tff(20873,plain,
% 49.64/32.62 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20872, 377, 20841])).
% 49.64/32.62 tff(20874,plain,
% 49.64/32.62 (v100(constB166) | (~v110(constB166))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20873, 20866])).
% 49.64/32.62 tff(20875,plain,
% 49.64/32.62 (v100(constB166)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20874, 20849])).
% 49.64/32.62 tff(20876,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20877,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20878,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 49.64/32.62 tff(20879,plain,
% 49.64/32.62 (v130(constB165, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20878, 1580, 20807])).
% 49.64/32.62 tff(20880,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20881,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20882,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20881, 20880])).
% 49.64/32.62 tff(20883,plain,
% 49.64/32.62 ((~v130(constB165, 2)) | v127(constB165, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20882, 1328, 20823])).
% 49.64/32.62 tff(20884,plain,
% 49.64/32.62 (v127(constB165, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20883, 20879])).
% 49.64/32.62 tff(20885,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20886,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20887,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20886, 20885])).
% 49.64/32.62 tff(20888,plain,
% 49.64/32.62 ((~v127(constB165, 2)) | v129(constB166, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20887, 1343, 20841])).
% 49.64/32.62 tff(20889,plain,
% 49.64/32.62 (v129(constB166, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20888, 20884])).
% 49.64/32.62 tff(20890,plain,
% 49.64/32.62 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20891,plain,
% 49.64/32.62 ((v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2))) <=> (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20892,plain,
% 49.64/32.62 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20891])).
% 49.64/32.62 tff(20893,plain,
% 49.64/32.62 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20892, 20890])).
% 49.64/32.62 tff(20894,plain,
% 49.64/32.62 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20895,plain,
% 49.64/32.62 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 49.64/32.62 tff(20896,plain,
% 49.64/32.62 (v90(constB166, 2) | (~v100(constB166))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20895, 1358, 20889])).
% 49.64/32.62 tff(20897,plain,
% 49.64/32.62 (v90(constB166, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20896, 20875])).
% 49.64/32.62 tff(20898,plain,
% 49.64/32.62 ((~v1(constB167)) <=> (~v1(constB167))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20899,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 49.64/32.62 tff(20900,plain,
% 49.64/32.62 (~v1(constB167)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 49.64/32.62 tff(20901,plain,
% 49.64/32.62 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20902,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 49.64/32.62 tff(20903,plain,
% 49.64/32.62 (nextState(constB166, constB167)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20902, 20901])).
% 49.64/32.62 tff(20904,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20905,plain,
% 49.64/32.62 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20906,plain,
% 49.64/32.62 (((~![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))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20905])).
% 49.64/32.62 tff(20907,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20906, 20904])).
% 49.64/32.62 tff(20908,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20909,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20908, 20907])).
% 49.64/32.62 tff(20910,plain,
% 49.64/32.62 (~v101(constB167)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20909, 90, 20903, 20900])).
% 49.64/32.62 tff(20911,plain,
% 49.64/32.62 (((~![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)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20912,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20913,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20912, 20911])).
% 49.64/32.62 tff(20914,plain,
% 49.64/32.62 (v101(constB167) | (~v100(constB167))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20913, 107, 20903])).
% 49.64/32.62 tff(20915,plain,
% 49.64/32.62 (~v100(constB167)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20914, 20910])).
% 49.64/32.62 tff(20916,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20917,plain,
% 49.64/32.62 (((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)) <=> ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20918,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20917])).
% 49.64/32.62 tff(20919,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20918, 20916])).
% 49.64/32.62 tff(20920,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20921,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 49.64/32.62 tff(20922,plain,
% 49.64/32.62 ((~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20921, 1394, 20903])).
% 49.64/32.62 tff(20923,plain,
% 49.64/32.62 ((~v90(constB166, 2)) | v90(constB167, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20922, 20915])).
% 49.64/32.62 tff(20924,plain,
% 49.64/32.62 (v90(constB167, 2)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20923, 20897])).
% 49.64/32.62 tff(20925,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20926,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20927,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20926, 20925])).
% 49.64/32.62 tff(20928,plain,
% 49.64/32.62 (~v130(constB165, 1)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20927, 1636, 20807])).
% 49.64/32.62 tff(20929,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20930,plain,
% 49.64/32.62 ((v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1))) <=> ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20931,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20930])).
% 49.64/32.62 tff(20932,plain,
% 49.64/32.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20931, 20929])).
% 49.64/32.62 tff(20933,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20934,plain,
% 49.64/32.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 49.64/32.62 tff(20935,plain,
% 49.64/32.62 ((~v127(constB165, 1)) | v130(constB165, 1)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20934, 408, 20823])).
% 49.64/32.62 tff(20936,plain,
% 49.64/32.62 (~v127(constB165, 1)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20935, 20928])).
% 49.64/32.62 tff(20937,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20938,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20939,plain,
% 49.64/32.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20938, 20937])).
% 49.64/32.62 tff(20940,plain,
% 49.64/32.62 (v127(constB165, 1) | (~v129(constB166, 1))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20939, 438, 20841])).
% 49.64/32.62 tff(20941,plain,
% 49.64/32.62 (~v129(constB166, 1)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20940, 20936])).
% 49.64/32.62 tff(20942,plain,
% 49.64/32.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20943,plain,
% 49.64/32.62 (((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1)) <=> ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20944,plain,
% 49.64/32.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20943])).
% 49.64/32.62 tff(20945,plain,
% 49.64/32.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20944, 20942])).
% 49.64/32.62 tff(20946,plain,
% 49.64/32.62 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))),
% 49.64/32.62 inference(quant_inst,[status(thm)],[])).
% 49.64/32.62 tff(20947,plain,
% 49.64/32.62 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))),
% 49.64/32.62 inference(modus_ponens,[status(thm)],[20946, 20945])).
% 49.64/32.62 tff(20948,plain,
% 49.64/32.62 ((~v90(constB166, 1)) | (~v100(constB166))),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20947, 453, 20941])).
% 49.64/32.62 tff(20949,plain,
% 49.64/32.62 (~v90(constB166, 1)),
% 49.64/32.62 inference(unit_resolution,[status(thm)],[20948, 20875])).
% 49.64/32.62 tff(20950,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20951,plain,
% 49.64/32.62 (((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))) <=> (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 49.64/32.62 inference(rewrite,[status(thm)],[])).
% 49.64/32.62 tff(20952,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))))),
% 49.64/32.62 inference(monotonicity,[status(thm)],[20951])).
% 49.64/32.62 tff(20953,plain,
% 49.64/32.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 49.64/32.62 inference(transitivity,[status(thm)],[20952, 20950])).
% 49.64/32.63 tff(20954,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20955,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20954, 20953])).
% 49.64/32.63 tff(20956,plain,
% 49.64/32.63 (v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20955, 143, 20903])).
% 49.64/32.63 tff(20957,plain,
% 49.64/32.63 (v90(constB166, 1) | (~v90(constB167, 1))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20956, 20915])).
% 49.64/32.63 tff(20958,plain,
% 49.64/32.63 (~v90(constB167, 1)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20957, 20949])).
% 49.64/32.63 tff(20959,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20960,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20961,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20960, 20959])).
% 49.64/32.63 tff(20962,plain,
% 49.64/32.63 (v130(constB165, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20961, 1677, 20807])).
% 49.64/32.63 tff(20963,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20964,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20965,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 49.64/32.63 tff(20966,plain,
% 49.64/32.63 ((~v130(constB165, 0)) | v127(constB165, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20965, 515, 20823])).
% 49.64/32.63 tff(20967,plain,
% 49.64/32.63 (v127(constB165, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20966, 20962])).
% 49.64/32.63 tff(20968,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20969,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20970,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 49.64/32.63 tff(20971,plain,
% 49.64/32.63 ((~v127(constB165, 0)) | v129(constB166, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20970, 530, 20841])).
% 49.64/32.63 tff(20972,plain,
% 49.64/32.63 (v129(constB166, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20971, 20967])).
% 49.64/32.63 tff(20973,plain,
% 49.64/32.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20974,plain,
% 49.64/32.63 ((v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0))) <=> (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20975,plain,
% 49.64/32.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[20974])).
% 49.64/32.63 tff(20976,plain,
% 49.64/32.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[20975, 20973])).
% 49.64/32.63 tff(20977,plain,
% 49.64/32.63 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20978,plain,
% 49.64/32.63 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20977, 20976])).
% 49.64/32.63 tff(20979,plain,
% 49.64/32.63 (v90(constB166, 0) | (~v100(constB166))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20978, 545, 20972])).
% 49.64/32.63 tff(20980,plain,
% 49.64/32.63 (v90(constB166, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20979, 20875])).
% 49.64/32.63 tff(20981,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20982,plain,
% 49.64/32.63 (((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)) <=> ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20983,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[20982])).
% 49.64/32.63 tff(20984,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 49.64/32.63 inference(transitivity,[status(thm)],[20983, 20981])).
% 49.64/32.63 tff(20985,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20986,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20985, 20984])).
% 49.64/32.63 tff(20987,plain,
% 49.64/32.63 ((~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20986, 563, 20903])).
% 49.64/32.63 tff(20988,plain,
% 49.64/32.63 ((~v90(constB166, 0)) | v90(constB167, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20987, 20915])).
% 49.64/32.63 tff(20989,plain,
% 49.64/32.63 (v90(constB167, 0)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20988, 20980])).
% 49.64/32.63 tff(20990,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20991,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20992,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 49.64/32.63 tff(20993,plain,
% 49.64/32.63 (v124(constB167)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20992, 1718, 20989, 20958, 20924])).
% 49.64/32.63 tff(20994,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20995,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(20996,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20995, 20994])).
% 49.64/32.63 tff(20997,plain,
% 49.64/32.63 (v114(constB167)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[20996, 1775, 20993])).
% 49.64/32.63 tff(20998,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB167)) | v113(constB167))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(20999,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21000,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB167)) | v113(constB167)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 49.64/32.63 tff(21001,plain,
% 49.64/32.63 (v113(constB167)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21000, 266, 20997])).
% 49.64/32.63 tff(21002,assumption,(~v108(constB167)), introduced(assumption)).
% 49.64/32.63 tff(21003,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21004,plain,
% 49.64/32.63 (((~v112(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v112(constB167)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21005,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21004])).
% 49.64/32.63 tff(21006,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21005, 21003])).
% 49.64/32.63 tff(21007,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21008,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21007, 21006])).
% 49.64/32.63 tff(21009,plain,
% 49.64/32.63 (~v112(constB167)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21008, 292, 21002])).
% 49.64/32.63 tff(21010,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v26(constB167)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21011,plain,
% 49.64/32.63 (((~v26(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v26(constB167)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21012,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v26(constB167))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21011])).
% 49.64/32.63 tff(21013,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21012, 21010])).
% 49.64/32.63 tff(21014,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21015,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21014, 21013])).
% 49.64/32.63 tff(21016,plain,
% 49.64/32.63 (~v26(constB167)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21015, 1761, 21002])).
% 49.64/32.63 tff(21017,assumption,(v113(constB167)), introduced(assumption)).
% 49.64/32.63 tff(21018,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21019,plain,
% 49.64/32.63 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21020,plain,
% 49.64/32.63 (((~![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))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21019])).
% 49.64/32.63 tff(21021,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21020, 21018])).
% 49.64/32.63 tff(21022,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21023,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21022, 21021])).
% 49.64/32.63 tff(21024,plain,
% 49.64/32.63 (v26(constB167) | v112(constB167)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21023, 280, 21017])).
% 49.64/32.63 tff(21025,plain,
% 49.64/32.63 ($false),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21024, 21016, 21009])).
% 49.64/32.63 tff(21026,plain,(v108(constB167) | (~v113(constB167))), inference(lemma,lemma(discharge,[]))).
% 49.64/32.63 tff(21027,plain,
% 49.64/32.63 (v108(constB167)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21026, 21001])).
% 49.64/32.63 tff(21028,plain,
% 49.64/32.63 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21029,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 49.64/32.63 tff(21030,plain,
% 49.64/32.63 (nextState(constB167, constB168)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 49.64/32.63 tff(21031,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21032,plain,
% 49.64/32.63 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21033,plain,
% 49.64/32.63 (((~![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))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21032])).
% 49.64/32.63 tff(21034,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21033, 21031])).
% 49.64/32.63 tff(21035,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21036,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21035, 21034])).
% 49.64/32.63 tff(21037,plain,
% 49.64/32.63 (v110(constB168) | (~v108(constB167))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21036, 312, 21030])).
% 49.64/32.63 tff(21038,plain,
% 49.64/32.63 (v110(constB168)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21037, 21027])).
% 49.64/32.63 tff(21039,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21040,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21041,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21040, 21039])).
% 49.64/32.63 tff(21042,plain,
% 49.64/32.63 (~v104(constB168)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21041, 330, 21030, 20900])).
% 49.64/32.63 tff(21043,plain,
% 49.64/32.63 (((~![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)) | v102(constB168) | v104(constB168))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21044,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21045,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21044, 21043])).
% 49.64/32.63 tff(21046,plain,
% 49.64/32.63 (v102(constB168) | v104(constB168)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21045, 344, 21030])).
% 49.64/32.63 tff(21047,plain,
% 49.64/32.63 (v102(constB168)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21046, 21042])).
% 49.64/32.63 tff(21048,plain,
% 49.64/32.63 (v1(constB168) <=> v1(constB168)),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21049,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 49.64/32.63 tff(21050,plain,
% 49.64/32.63 (v1(constB168)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21049, 21048])).
% 49.64/32.63 tff(21051,plain,
% 49.64/32.63 (((~![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)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21052,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21053,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21052, 21051])).
% 49.64/32.63 tff(21054,plain,
% 49.64/32.63 (v101(constB168) | (~v102(constB168))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21053, 362, 21030, 21050])).
% 49.64/32.63 tff(21055,plain,
% 49.64/32.63 (v101(constB168)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21054, 21047])).
% 49.64/32.63 tff(21056,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21057,plain,
% 49.64/32.63 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21058,plain,
% 49.64/32.63 (((~![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))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21057])).
% 49.64/32.63 tff(21059,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21058, 21056])).
% 49.64/32.63 tff(21060,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21061,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 49.64/32.63 tff(21062,plain,
% 49.64/32.63 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21061, 377, 21030])).
% 49.64/32.63 tff(21063,plain,
% 49.64/32.63 (v100(constB168) | (~v110(constB168))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21062, 21055])).
% 49.64/32.63 tff(21064,plain,
% 49.64/32.63 (v100(constB168)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21063, 21038])).
% 49.64/32.63 tff(21065,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21066,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21067,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21066, 21065])).
% 49.64/32.63 tff(21068,plain,
% 49.64/32.63 (v130(constB167, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21067, 1729, 20993])).
% 49.64/32.63 tff(21069,assumption,(v26(constB167)), introduced(assumption)).
% 49.64/32.63 tff(21070,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21071,plain,
% 49.64/32.63 ($false),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21070, 43, 21069])).
% 49.64/32.63 tff(21072,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.63 tff(21073,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21074,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21075,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21074, 21073])).
% 49.64/32.63 tff(21076,plain,
% 49.64/32.63 ((~v130(constB167, 2)) | v127(constB167, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21075, 1328, 21072])).
% 49.64/32.63 tff(21077,plain,
% 49.64/32.63 (v127(constB167, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21076, 21068])).
% 49.64/32.63 tff(21078,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21079,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21080,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21079, 21078])).
% 49.64/32.63 tff(21081,plain,
% 49.64/32.63 ((~v127(constB167, 2)) | v129(constB168, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21080, 1343, 21030])).
% 49.64/32.63 tff(21082,plain,
% 49.64/32.63 (v129(constB168, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21081, 21077])).
% 49.64/32.63 tff(21083,plain,
% 49.64/32.63 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21084,plain,
% 49.64/32.63 ((v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2))) <=> (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21085,plain,
% 49.64/32.63 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21084])).
% 49.64/32.63 tff(21086,plain,
% 49.64/32.63 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21085, 21083])).
% 49.64/32.63 tff(21087,plain,
% 49.64/32.63 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21088,plain,
% 49.64/32.63 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21087, 21086])).
% 49.64/32.63 tff(21089,plain,
% 49.64/32.63 (v90(constB168, 2) | (~v100(constB168))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21088, 1358, 21082])).
% 49.64/32.63 tff(21090,plain,
% 49.64/32.63 (v90(constB168, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21089, 21064])).
% 49.64/32.63 tff(21091,plain,
% 49.64/32.63 ((~v1(constB169)) <=> (~v1(constB169))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21092,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 49.64/32.63 tff(21093,plain,
% 49.64/32.63 (~v1(constB169)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21092, 21091])).
% 49.64/32.63 tff(21094,plain,
% 49.64/32.63 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21095,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 49.64/32.63 tff(21096,plain,
% 49.64/32.63 (nextState(constB168, constB169)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 49.64/32.63 tff(21097,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21098,plain,
% 49.64/32.63 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21099,plain,
% 49.64/32.63 (((~![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))))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21098])).
% 49.64/32.63 tff(21100,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21099, 21097])).
% 49.64/32.63 tff(21101,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21102,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21101, 21100])).
% 49.64/32.63 tff(21103,plain,
% 49.64/32.63 (~v101(constB169)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21102, 90, 21096, 21093])).
% 49.64/32.63 tff(21104,plain,
% 49.64/32.63 (((~![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)))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21105,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21106,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 49.64/32.63 tff(21107,plain,
% 49.64/32.63 (v101(constB169) | (~v100(constB169))),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21106, 107, 21096])).
% 49.64/32.63 tff(21108,plain,
% 49.64/32.63 (~v100(constB169)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21107, 21103])).
% 49.64/32.63 tff(21109,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21110,plain,
% 49.64/32.63 (((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)) <=> ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21111,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)))),
% 49.64/32.63 inference(monotonicity,[status(thm)],[21110])).
% 49.64/32.63 tff(21112,plain,
% 49.64/32.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 49.64/32.63 inference(transitivity,[status(thm)],[21111, 21109])).
% 49.64/32.63 tff(21113,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21114,plain,
% 49.64/32.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21113, 21112])).
% 49.64/32.63 tff(21115,plain,
% 49.64/32.63 ((~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21114, 1394, 21096])).
% 49.64/32.63 tff(21116,plain,
% 49.64/32.63 ((~v90(constB168, 2)) | v90(constB169, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21115, 21108])).
% 49.64/32.63 tff(21117,plain,
% 49.64/32.63 (v90(constB169, 2)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21116, 21090])).
% 49.64/32.63 tff(21118,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21119,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21120,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 49.64/32.63 tff(21121,plain,
% 49.64/32.63 (v130(constB167, 1)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21120, 1871, 20993])).
% 49.64/32.63 tff(21122,plain,
% 49.64/32.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 49.64/32.63 inference(rewrite,[status(thm)],[])).
% 49.64/32.63 tff(21123,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 49.64/32.63 inference(quant_inst,[status(thm)],[])).
% 49.64/32.63 tff(21124,plain,
% 49.64/32.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1)),
% 49.64/32.63 inference(modus_ponens,[status(thm)],[21123, 21122])).
% 49.64/32.63 tff(21125,plain,
% 49.64/32.63 ((~v130(constB167, 1)) | v127(constB167, 1)),
% 49.64/32.63 inference(unit_resolution,[status(thm)],[21124, 852, 21072])).
% 49.64/32.64 tff(21126,plain,
% 49.64/32.64 (v127(constB167, 1)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21125, 21121])).
% 49.64/32.64 tff(21127,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21128,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21129,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 49.64/32.64 tff(21130,plain,
% 49.64/32.64 ((~v127(constB167, 1)) | v129(constB168, 1)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21129, 867, 21030])).
% 49.64/32.64 tff(21131,plain,
% 49.64/32.64 (v129(constB168, 1)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21130, 21126])).
% 49.64/32.64 tff(21132,plain,
% 49.64/32.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21133,plain,
% 49.64/32.64 ((v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1))) <=> (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21134,plain,
% 49.64/32.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21133])).
% 49.64/32.64 tff(21135,plain,
% 49.64/32.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21134, 21132])).
% 49.64/32.64 tff(21136,plain,
% 49.64/32.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21137,plain,
% 49.64/32.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21136, 21135])).
% 49.64/32.64 tff(21138,plain,
% 49.64/32.64 (v90(constB168, 1) | (~v100(constB168))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21137, 882, 21131])).
% 49.64/32.64 tff(21139,plain,
% 49.64/32.64 (v90(constB168, 1)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21138, 21064])).
% 49.64/32.64 tff(21140,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21141,plain,
% 49.64/32.64 (((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)) <=> ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21142,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21141])).
% 49.64/32.64 tff(21143,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21142, 21140])).
% 49.64/32.64 tff(21144,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21145,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 49.64/32.64 tff(21146,plain,
% 49.64/32.64 ((~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21145, 900, 21096])).
% 49.64/32.64 tff(21147,plain,
% 49.64/32.64 ((~v90(constB168, 1)) | v90(constB169, 1)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21146, 21108])).
% 49.64/32.64 tff(21148,plain,
% 49.64/32.64 (v90(constB169, 1)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21147, 21139])).
% 49.64/32.64 tff(21149,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21150,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21151,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21150, 21149])).
% 49.64/32.64 tff(21152,plain,
% 49.64/32.64 (~v130(constB167, 0)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21151, 1909, 20993])).
% 49.64/32.64 tff(21153,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21154,plain,
% 49.64/32.64 ((v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0))) <=> ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21155,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21154])).
% 49.64/32.64 tff(21156,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21155, 21153])).
% 49.64/32.64 tff(21157,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21158,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21157, 21156])).
% 49.64/32.64 tff(21159,plain,
% 49.64/32.64 ((~v127(constB167, 0)) | v130(constB167, 0)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21158, 930, 21072])).
% 49.64/32.64 tff(21160,plain,
% 49.64/32.64 (~v127(constB167, 0)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21159, 21152])).
% 49.64/32.64 tff(21161,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21162,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21163,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21162, 21161])).
% 49.64/32.64 tff(21164,plain,
% 49.64/32.64 (v127(constB167, 0) | (~v129(constB168, 0))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21163, 948, 21030])).
% 49.64/32.64 tff(21165,plain,
% 49.64/32.64 (~v129(constB168, 0)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21164, 21160])).
% 49.64/32.64 tff(21166,plain,
% 49.64/32.64 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21167,plain,
% 49.64/32.64 (((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0)) <=> ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21168,plain,
% 49.64/32.64 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21167])).
% 49.64/32.64 tff(21169,plain,
% 49.64/32.64 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21168, 21166])).
% 49.64/32.64 tff(21170,plain,
% 49.64/32.64 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21171,plain,
% 49.64/32.64 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 49.64/32.64 tff(21172,plain,
% 49.64/32.64 ((~v90(constB168, 0)) | (~v100(constB168))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21171, 963, 21165])).
% 49.64/32.64 tff(21173,plain,
% 49.64/32.64 (~v90(constB168, 0)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21172, 21064])).
% 49.64/32.64 tff(21174,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21175,plain,
% 49.64/32.64 (((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))) <=> (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21176,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21175])).
% 49.64/32.64 tff(21177,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21176, 21174])).
% 49.64/32.64 tff(21178,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21179,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 49.64/32.64 tff(21180,plain,
% 49.64/32.64 (v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21179, 164, 21096])).
% 49.64/32.64 tff(21181,plain,
% 49.64/32.64 (v90(constB168, 0) | (~v90(constB169, 0))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21180, 21108])).
% 49.64/32.64 tff(21182,plain,
% 49.64/32.64 (~v90(constB169, 0)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21181, 21173])).
% 49.64/32.64 tff(21183,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21184,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21185,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21184, 21183])).
% 49.64/32.64 tff(21186,plain,
% 49.64/32.64 (v125(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21185, 1953, 21182, 21148, 21117])).
% 49.64/32.64 tff(21187,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21188,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21189,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21188, 21187])).
% 49.64/32.64 tff(21190,plain,
% 49.64/32.64 (v113(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21189, 1964, 21186])).
% 49.64/32.64 tff(21191,assumption,(v26(constB169)), introduced(assumption)).
% 49.64/32.64 tff(21192,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21193,plain,
% 49.64/32.64 ($false),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21192, 43, 21191])).
% 49.64/32.64 tff(21194,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 49.64/32.64 tff(21195,plain,
% 49.64/32.64 (((~![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))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21196,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21197,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21196, 21195])).
% 49.64/32.64 tff(21198,plain,
% 49.64/32.64 ((~v113(constB169)) | v112(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21197, 280, 21194])).
% 49.64/32.64 tff(21199,plain,
% 49.64/32.64 (v112(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21198, 21190])).
% 49.64/32.64 tff(21200,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21201,plain,
% 49.64/32.64 (((~v112(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v112(constB169)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21202,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169))))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21201])).
% 49.64/32.64 tff(21203,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21202, 21200])).
% 49.64/32.64 tff(21204,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21205,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 49.64/32.64 tff(21206,plain,
% 49.64/32.64 (v108(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21205, 292, 21199])).
% 49.64/32.64 tff(21207,plain,
% 49.64/32.64 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21208,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 49.64/32.64 tff(21209,plain,
% 49.64/32.64 (nextState(constB169, constB170)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21208, 21207])).
% 49.64/32.64 tff(21210,plain,
% 49.64/32.64 (((~![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)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21211,plain,
% 49.64/32.64 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21212,plain,
% 49.64/32.64 (((~![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))))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21211])).
% 49.64/32.64 tff(21213,plain,
% 49.64/32.64 (((~![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)))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21212, 21210])).
% 49.64/32.64 tff(21214,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21215,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 49.64/32.64 tff(21216,plain,
% 49.64/32.64 (v110(constB170) | (~v108(constB169))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21215, 312, 21209])).
% 49.64/32.64 tff(21217,plain,
% 49.64/32.64 (v110(constB170)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21216, 21206])).
% 49.64/32.64 tff(21218,plain,
% 49.64/32.64 (((~![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)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21219,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21220,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 49.64/32.64 tff(21221,plain,
% 49.64/32.64 (~v104(constB170)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21220, 330, 21209, 21093])).
% 49.64/32.64 tff(21222,plain,
% 49.64/32.64 (((~![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)) | v102(constB170) | v104(constB170))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21223,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21224,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21223, 21222])).
% 49.64/32.64 tff(21225,plain,
% 49.64/32.64 (v102(constB170) | v104(constB170)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21224, 344, 21209])).
% 49.64/32.64 tff(21226,plain,
% 49.64/32.64 (v102(constB170)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21225, 21221])).
% 49.64/32.64 tff(21227,plain,
% 49.64/32.64 (v1(constB170) <=> v1(constB170)),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21228,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 49.64/32.64 tff(21229,plain,
% 49.64/32.64 (v1(constB170)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21228, 21227])).
% 49.64/32.64 tff(21230,plain,
% 49.64/32.64 (((~![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)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21231,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21232,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21231, 21230])).
% 49.64/32.64 tff(21233,plain,
% 49.64/32.64 (v101(constB170) | (~v102(constB170))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21232, 362, 21209, 21229])).
% 49.64/32.64 tff(21234,plain,
% 49.64/32.64 (v101(constB170)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21233, 21226])).
% 49.64/32.64 tff(21235,plain,
% 49.64/32.64 (((~![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)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21236,plain,
% 49.64/32.64 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21237,plain,
% 49.64/32.64 (((~![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))))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21236])).
% 49.64/32.64 tff(21238,plain,
% 49.64/32.64 (((~![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)))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21237, 21235])).
% 49.64/32.64 tff(21239,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21240,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21239, 21238])).
% 49.64/32.64 tff(21241,plain,
% 49.64/32.64 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21240, 377, 21209])).
% 49.64/32.64 tff(21242,plain,
% 49.64/32.64 (v100(constB170) | (~v110(constB170))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21241, 21234])).
% 49.64/32.64 tff(21243,plain,
% 49.64/32.64 (v100(constB170)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21242, 21217])).
% 49.64/32.64 tff(21244,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21245,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21246,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 49.64/32.64 tff(21247,plain,
% 49.64/32.64 (~v124(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21246, 2083, 21148])).
% 49.64/32.64 tff(21248,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21249,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21250,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 49.64/32.64 tff(21251,plain,
% 49.64/32.64 (~v121(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21250, 2028, 21117])).
% 49.64/32.64 tff(21252,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21253,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21254,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 49.64/32.64 tff(21255,plain,
% 49.64/32.64 (~v122(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21254, 2039, 21117])).
% 49.64/32.64 tff(21256,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21257,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21258,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21257, 21256])).
% 49.64/32.64 tff(21259,plain,
% 49.64/32.64 (~v120(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21258, 2061, 21148])).
% 49.64/32.64 tff(21260,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21261,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21262,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21261, 21260])).
% 49.64/32.64 tff(21263,plain,
% 49.64/32.64 (~v123(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21262, 2072, 21148])).
% 49.64/32.64 tff(21264,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21265,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21266,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21265, 21264])).
% 49.64/32.64 tff(21267,plain,
% 49.64/32.64 (~v119(constB169)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21266, 2050, 21148])).
% 49.64/32.64 tff(21268,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21269,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21270,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 49.64/32.64 tff(21271,plain,
% 49.64/32.64 (~v130(constB169, 2)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21270, 2097, 21267, 21263, 21259, 21255, 21251, 21247])).
% 49.64/32.64 tff(21272,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21273,plain,
% 49.64/32.64 ((v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2))) <=> ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21274,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)))),
% 49.64/32.64 inference(monotonicity,[status(thm)],[21273])).
% 49.64/32.64 tff(21275,plain,
% 49.64/32.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 49.64/32.64 inference(transitivity,[status(thm)],[21274, 21272])).
% 49.64/32.64 tff(21276,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21277,plain,
% 49.64/32.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21276, 21275])).
% 49.64/32.64 tff(21278,plain,
% 49.64/32.64 ((~v127(constB169, 2)) | v130(constB169, 2)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21277, 593, 21194])).
% 49.64/32.64 tff(21279,plain,
% 49.64/32.64 (~v127(constB169, 2)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21278, 21271])).
% 49.64/32.64 tff(21280,plain,
% 49.64/32.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21281,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21282,plain,
% 49.64/32.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21281, 21280])).
% 49.64/32.64 tff(21283,plain,
% 49.64/32.64 (v127(constB169, 2) | (~v129(constB170, 2))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21282, 611, 21209])).
% 49.64/32.64 tff(21284,plain,
% 49.64/32.64 (~v129(constB170, 2)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21283, 21279])).
% 49.64/32.64 tff(21285,plain,
% 49.64/32.64 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21286,plain,
% 49.64/32.64 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 49.64/32.64 inference(quant_inst,[status(thm)],[])).
% 49.64/32.64 tff(21287,plain,
% 49.64/32.64 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170))),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21286, 21285])).
% 49.64/32.64 tff(21288,plain,
% 49.64/32.64 ((~v90(constB170, 2)) | (~v100(constB170))),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21287, 626, 21284])).
% 49.64/32.64 tff(21289,plain,
% 49.64/32.64 (~v90(constB170, 2)),
% 49.64/32.64 inference(unit_resolution,[status(thm)],[21288, 21243])).
% 49.64/32.64 tff(21290,plain,
% 49.64/32.64 ((~v1(constB171)) <=> (~v1(constB171))),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21291,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 49.64/32.64 tff(21292,plain,
% 49.64/32.64 (~v1(constB171)),
% 49.64/32.64 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 49.64/32.64 tff(21293,plain,
% 49.64/32.64 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 49.64/32.64 inference(rewrite,[status(thm)],[])).
% 49.64/32.64 tff(21294,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 49.64/32.65 tff(21295,plain,
% 49.64/32.65 (nextState(constB170, constB171)),
% 49.64/32.65 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 49.64/32.65 tff(21296,plain,
% 49.64/32.65 (((~![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)))),
% 49.64/32.65 inference(rewrite,[status(thm)],[])).
% 49.64/32.65 tff(21297,plain,
% 49.64/32.65 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 49.64/32.65 inference(rewrite,[status(thm)],[])).
% 49.64/32.65 tff(21298,plain,
% 49.64/32.65 (((~![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))))),
% 49.64/32.65 inference(monotonicity,[status(thm)],[21297])).
% 49.64/32.65 tff(21299,plain,
% 49.64/32.65 (((~![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)))),
% 49.64/32.65 inference(transitivity,[status(thm)],[21298, 21296])).
% 49.64/32.65 tff(21300,plain,
% 49.64/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 49.64/32.65 inference(quant_inst,[status(thm)],[])).
% 49.64/32.65 tff(21301,plain,
% 49.64/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 49.64/32.65 inference(modus_ponens,[status(thm)],[21300, 21299])).
% 49.64/32.65 tff(21302,plain,
% 49.64/32.65 (~v101(constB171)),
% 49.64/32.65 inference(unit_resolution,[status(thm)],[21301, 90, 21295, 21292])).
% 49.64/32.65 tff(21303,plain,
% 49.64/32.65 (((~![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)))),
% 49.64/32.65 inference(rewrite,[status(thm)],[])).
% 49.64/32.65 tff(21304,plain,
% 49.64/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 49.64/32.65 inference(quant_inst,[status(thm)],[])).
% 49.64/32.65 tff(21305,plain,
% 49.64/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 49.64/32.65 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 49.64/32.65 tff(21306,plain,
% 49.64/32.65 (v101(constB171) | (~v100(constB171))),
% 49.64/32.65 inference(unit_resolution,[status(thm)],[21305, 107, 21295])).
% 49.64/32.65 tff(21307,plain,
% 49.64/32.65 (~v100(constB171)),
% 49.64/32.65 inference(unit_resolution,[status(thm)],[21306, 21302])).
% 49.64/32.65 tff(21308,plain,
% 49.64/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 49.64/32.65 inference(rewrite,[status(thm)],[])).
% 49.64/32.65 tff(21309,plain,
% 49.64/32.65 (((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))) <=> (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 49.64/32.65 inference(rewrite,[status(thm)],[])).
% 49.64/32.65 tff(21310,plain,
% 49.64/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))))),
% 49.64/32.65 inference(monotonicity,[status(thm)],[21309])).
% 49.64/32.65 tff(21311,plain,
% 49.64/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 49.64/32.65 inference(transitivity,[status(thm)],[21310, 21308])).
% 49.64/32.65 tff(21312,plain,
% 49.64/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))),
% 49.64/32.65 inference(quant_inst,[status(thm)],[])).
% 49.64/32.65 tff(21313,plain,
% 49.64/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))),
% 49.64/32.65 inference(modus_ponens,[status(thm)],[21312, 21311])).
% 49.64/32.65 tff(21314,plain,
% 49.64/32.65 (v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))),
% 49.64/32.65 inference(unit_resolution,[status(thm)],[21313, 122, 21295])).
% 49.64/32.65 tff(21315,plain,
% 49.64/32.65 (v90(constB170, 2) | (~v90(constB171, 2))),
% 49.64/32.65 inference(unit_resolution,[status(thm)],[21314, 21307])).
% 49.64/32.65 tff(21316,plain,
% 49.64/32.65 (~v90(constB171, 2)),
% 49.64/32.65 inference(unit_resolution,[status(thm)],[21315, 21289])).
% 49.64/32.65 tff(21317,plain,
% 49.64/32.65 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 49.64/32.65 inference(rewrite,[status(thm)],[])).
% 49.64/32.65 tff(21318,plain,
% 49.64/32.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 49.64/32.65 inference(quant_inst,[status(thm)],[])).
% 49.64/32.65 tff(21319,plain,
% 49.64/32.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1))),
% 49.64/32.65 inference(modus_ponens,[status(thm)],[21318, 21317])).
% 49.64/32.65 tff(21320,plain,
% 49.64/32.65 (~v130(constB169, 1)),
% 49.64/32.65 inference(unit_resolution,[status(thm)],[21319, 2156, 21267, 21263, 21259, 21255, 21251, 21247])).
% 49.64/32.65 tff(21321,plain,
% 49.64/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21322,plain,
% 49.73/32.65 ((v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1))) <=> ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21323,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21322])).
% 49.73/32.65 tff(21324,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21323, 21321])).
% 49.73/32.65 tff(21325,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21326,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 49.73/32.65 tff(21327,plain,
% 49.73/32.65 ((~v127(constB169, 1)) | v130(constB169, 1)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21326, 408, 21194])).
% 49.73/32.65 tff(21328,plain,
% 49.73/32.65 (~v127(constB169, 1)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21327, 21320])).
% 49.73/32.65 tff(21329,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21330,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21331,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21330, 21329])).
% 49.73/32.65 tff(21332,plain,
% 49.73/32.65 (v127(constB169, 1) | (~v129(constB170, 1))),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21331, 438, 21209])).
% 49.73/32.65 tff(21333,plain,
% 49.73/32.65 (~v129(constB170, 1)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21332, 21328])).
% 49.73/32.65 tff(21334,plain,
% 49.73/32.65 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21335,plain,
% 49.73/32.65 (((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1)) <=> ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21336,plain,
% 49.73/32.65 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21335])).
% 49.73/32.65 tff(21337,plain,
% 49.73/32.65 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21336, 21334])).
% 49.73/32.65 tff(21338,plain,
% 49.73/32.65 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21339,plain,
% 49.73/32.65 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 49.73/32.65 tff(21340,plain,
% 49.73/32.65 ((~v90(constB170, 1)) | (~v100(constB170))),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21339, 453, 21333])).
% 49.73/32.65 tff(21341,plain,
% 49.73/32.65 (~v90(constB170, 1)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21340, 21243])).
% 49.73/32.65 tff(21342,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21343,plain,
% 49.73/32.65 (((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))) <=> (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21344,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21343])).
% 49.73/32.65 tff(21345,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21344, 21342])).
% 49.73/32.65 tff(21346,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21347,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21346, 21345])).
% 49.73/32.65 tff(21348,plain,
% 49.73/32.65 (v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21347, 143, 21295])).
% 49.73/32.65 tff(21349,plain,
% 49.73/32.65 (v90(constB170, 1) | (~v90(constB171, 1))),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21348, 21307])).
% 49.73/32.65 tff(21350,plain,
% 49.73/32.65 (~v90(constB171, 1)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21349, 21341])).
% 49.73/32.65 tff(21351,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21352,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21353,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0)),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21352, 21351])).
% 49.73/32.65 tff(21354,plain,
% 49.73/32.65 (v130(constB169, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21353, 2200, 21267, 21263, 21259, 21255, 21251, 21247])).
% 49.73/32.65 tff(21355,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21356,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21357,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0)),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21356, 21355])).
% 49.73/32.65 tff(21358,plain,
% 49.73/32.65 ((~v130(constB169, 0)) | v127(constB169, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21357, 515, 21194])).
% 49.73/32.65 tff(21359,plain,
% 49.73/32.65 (v127(constB169, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21358, 21354])).
% 49.73/32.65 tff(21360,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21361,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21362,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0)),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21361, 21360])).
% 49.73/32.65 tff(21363,plain,
% 49.73/32.65 ((~v127(constB169, 0)) | v129(constB170, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21362, 530, 21209])).
% 49.73/32.65 tff(21364,plain,
% 49.73/32.65 (v129(constB170, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21363, 21359])).
% 49.73/32.65 tff(21365,plain,
% 49.73/32.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21366,plain,
% 49.73/32.65 ((v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0))) <=> (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21367,plain,
% 49.73/32.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21366])).
% 49.73/32.65 tff(21368,plain,
% 49.73/32.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21367, 21365])).
% 49.73/32.65 tff(21369,plain,
% 49.73/32.65 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21370,plain,
% 49.73/32.65 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21369, 21368])).
% 49.73/32.65 tff(21371,plain,
% 49.73/32.65 (v90(constB170, 0) | (~v100(constB170))),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21370, 545, 21364])).
% 49.73/32.65 tff(21372,plain,
% 49.73/32.65 (v90(constB170, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21371, 21243])).
% 49.73/32.65 tff(21373,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21374,plain,
% 49.73/32.65 (((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)) <=> ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21375,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21374])).
% 49.73/32.65 tff(21376,plain,
% 49.73/32.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21375, 21373])).
% 49.73/32.65 tff(21377,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21378,plain,
% 49.73/32.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21377, 21376])).
% 49.73/32.65 tff(21379,plain,
% 49.73/32.65 ((~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21378, 563, 21295])).
% 49.73/32.65 tff(21380,plain,
% 49.73/32.65 ((~v90(constB170, 0)) | v90(constB171, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21379, 21307])).
% 49.73/32.65 tff(21381,plain,
% 49.73/32.65 (v90(constB171, 0)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21380, 21372])).
% 49.73/32.65 tff(21382,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21383,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21384,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171)),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21383, 21382])).
% 49.73/32.65 tff(21385,plain,
% 49.73/32.65 (v120(constB171)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21384, 651, 21381, 21350, 21316])).
% 49.73/32.65 tff(21386,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21387,plain,
% 49.73/32.65 (((~v120(constB171)) | v118(constB171)) <=> (v118(constB171) | (~v120(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21388,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21387])).
% 49.73/32.65 tff(21389,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21388, 21386])).
% 49.73/32.65 tff(21390,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21391,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21390, 21389])).
% 49.73/32.65 tff(21392,plain,
% 49.73/32.65 (v118(constB171)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21391, 665, 21385])).
% 49.73/32.65 tff(21393,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21394,plain,
% 49.73/32.65 (((~v118(constB171)) | v117(constB171)) <=> (v117(constB171) | (~v118(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21395,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21394])).
% 49.73/32.65 tff(21396,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21395, 21393])).
% 49.73/32.65 tff(21397,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21398,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21397, 21396])).
% 49.73/32.65 tff(21399,plain,
% 49.73/32.65 (v117(constB171)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21398, 210, 21392])).
% 49.73/32.65 tff(21400,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21401,plain,
% 49.73/32.65 (((~v117(constB171)) | v116(constB171)) <=> (v116(constB171) | (~v117(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21402,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21401])).
% 49.73/32.65 tff(21403,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21402, 21400])).
% 49.73/32.65 tff(21404,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21405,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21404, 21403])).
% 49.73/32.65 tff(21406,plain,
% 49.73/32.65 (v116(constB171)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21405, 224, 21399])).
% 49.73/32.65 tff(21407,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21408,plain,
% 49.73/32.65 (((~v116(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v116(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21409,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21408])).
% 49.73/32.65 tff(21410,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21409, 21407])).
% 49.73/32.65 tff(21411,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21412,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21411, 21410])).
% 49.73/32.65 tff(21413,plain,
% 49.73/32.65 (v115(constB171)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21412, 238, 21406])).
% 49.73/32.65 tff(21414,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21415,plain,
% 49.73/32.65 (((~v115(constB171)) | v114(constB171)) <=> (v114(constB171) | (~v115(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21416,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21415])).
% 49.73/32.65 tff(21417,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21416, 21414])).
% 49.73/32.65 tff(21418,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21419,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 49.73/32.65 tff(21420,plain,
% 49.73/32.65 (v114(constB171)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21419, 252, 21413])).
% 49.73/32.65 tff(21421,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21422,plain,
% 49.73/32.65 (((~v114(constB171)) | v113(constB171)) <=> (v113(constB171) | (~v114(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21423,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21422])).
% 49.73/32.65 tff(21424,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21423, 21421])).
% 49.73/32.65 tff(21425,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21426,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171))),
% 49.73/32.65 inference(modus_ponens,[status(thm)],[21425, 21424])).
% 49.73/32.65 tff(21427,plain,
% 49.73/32.65 (v113(constB171)),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21426, 266, 21420])).
% 49.73/32.65 tff(21428,assumption,(v26(constB171)), introduced(assumption)).
% 49.73/32.65 tff(21429,plain,
% 49.73/32.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 49.73/32.65 inference(quant_inst,[status(thm)],[])).
% 49.73/32.65 tff(21430,plain,
% 49.73/32.65 ($false),
% 49.73/32.65 inference(unit_resolution,[status(thm)],[21429, 43, 21428])).
% 49.73/32.65 tff(21431,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 49.73/32.65 tff(21432,plain,
% 49.73/32.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21433,plain,
% 49.73/32.65 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 49.73/32.65 inference(rewrite,[status(thm)],[])).
% 49.73/32.65 tff(21434,plain,
% 49.73/32.65 (((~![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) | v112(constB171) | (~v113(constB171))))),
% 49.73/32.65 inference(monotonicity,[status(thm)],[21433])).
% 49.73/32.65 tff(21435,plain,
% 49.73/32.65 (((~![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) | v112(constB171) | (~v113(constB171)))),
% 49.73/32.65 inference(transitivity,[status(thm)],[21434, 21432])).
% 49.73/32.65 tff(21436,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21437,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21436, 21435])).
% 49.73/32.66 tff(21438,plain,
% 49.73/32.66 (v112(constB171) | (~v113(constB171))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21437, 280, 21431])).
% 49.73/32.66 tff(21439,plain,
% 49.73/32.66 (v112(constB171)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21438, 21427])).
% 49.73/32.66 tff(21440,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21441,plain,
% 49.73/32.66 (((~v112(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v112(constB171)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21442,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21441])).
% 49.73/32.66 tff(21443,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21442, 21440])).
% 49.73/32.66 tff(21444,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21445,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 49.73/32.66 tff(21446,plain,
% 49.73/32.66 (v108(constB171)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21445, 292, 21439])).
% 49.73/32.66 tff(21447,plain,
% 49.73/32.66 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21448,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 49.73/32.66 tff(21449,plain,
% 49.73/32.66 (nextState(constB171, constB172)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21448, 21447])).
% 49.73/32.66 tff(21450,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21451,plain,
% 49.73/32.66 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21452,plain,
% 49.73/32.66 (((~![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))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21451])).
% 49.73/32.66 tff(21453,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21452, 21450])).
% 49.73/32.66 tff(21454,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21455,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21454, 21453])).
% 49.73/32.66 tff(21456,plain,
% 49.73/32.66 (v110(constB172) | (~v108(constB171))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21455, 312, 21449])).
% 49.73/32.66 tff(21457,plain,
% 49.73/32.66 (v110(constB172)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21456, 21446])).
% 49.73/32.66 tff(21458,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21459,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21460,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 49.73/32.66 tff(21461,plain,
% 49.73/32.66 (~v104(constB172)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21460, 330, 21449, 21292])).
% 49.73/32.66 tff(21462,plain,
% 49.73/32.66 (((~![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)) | v102(constB172) | v104(constB172))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21463,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21464,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21463, 21462])).
% 49.73/32.66 tff(21465,plain,
% 49.73/32.66 (v102(constB172) | v104(constB172)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21464, 344, 21449])).
% 49.73/32.66 tff(21466,plain,
% 49.73/32.66 (v102(constB172)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21465, 21461])).
% 49.73/32.66 tff(21467,plain,
% 49.73/32.66 (v1(constB172) <=> v1(constB172)),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21468,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 49.73/32.66 tff(21469,plain,
% 49.73/32.66 (v1(constB172)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21468, 21467])).
% 49.73/32.66 tff(21470,plain,
% 49.73/32.66 (((~![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)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21471,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21472,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21471, 21470])).
% 49.73/32.66 tff(21473,plain,
% 49.73/32.66 (v101(constB172) | (~v102(constB172))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21472, 362, 21449, 21469])).
% 49.73/32.66 tff(21474,plain,
% 49.73/32.66 (v101(constB172)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21473, 21466])).
% 49.73/32.66 tff(21475,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21476,plain,
% 49.73/32.66 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21477,plain,
% 49.73/32.66 (((~![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))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21476])).
% 49.73/32.66 tff(21478,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21477, 21475])).
% 49.73/32.66 tff(21479,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21480,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 49.73/32.66 tff(21481,plain,
% 49.73/32.66 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21480, 377, 21449])).
% 49.73/32.66 tff(21482,plain,
% 49.73/32.66 (v100(constB172) | (~v110(constB172))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21481, 21474])).
% 49.73/32.66 tff(21483,plain,
% 49.73/32.66 (v100(constB172)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21482, 21457])).
% 49.73/32.66 tff(21484,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21485,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21486,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21485, 21484])).
% 49.73/32.66 tff(21487,plain,
% 49.73/32.66 (~v130(constB171, 2)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21486, 767, 21385])).
% 49.73/32.66 tff(21488,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21489,plain,
% 49.73/32.66 ((v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2))) <=> ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21490,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21489])).
% 49.73/32.66 tff(21491,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21490, 21488])).
% 49.73/32.66 tff(21492,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21493,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 49.73/32.66 tff(21494,plain,
% 49.73/32.66 ((~v127(constB171, 2)) | v130(constB171, 2)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21493, 593, 21431])).
% 49.73/32.66 tff(21495,plain,
% 49.73/32.66 (~v127(constB171, 2)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21494, 21487])).
% 49.73/32.66 tff(21496,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21497,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21498,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 49.73/32.66 tff(21499,plain,
% 49.73/32.66 (v127(constB171, 2) | (~v129(constB172, 2))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21498, 611, 21449])).
% 49.73/32.66 tff(21500,plain,
% 49.73/32.66 (~v129(constB172, 2)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21499, 21495])).
% 49.73/32.66 tff(21501,plain,
% 49.73/32.66 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21502,plain,
% 49.73/32.66 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21503,plain,
% 49.73/32.66 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21502, 21501])).
% 49.73/32.66 tff(21504,plain,
% 49.73/32.66 ((~v90(constB172, 2)) | (~v100(constB172))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21503, 626, 21500])).
% 49.73/32.66 tff(21505,plain,
% 49.73/32.66 (~v90(constB172, 2)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21504, 21483])).
% 49.73/32.66 tff(21506,plain,
% 49.73/32.66 ((~v1(constB173)) <=> (~v1(constB173))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21507,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 49.73/32.66 tff(21508,plain,
% 49.73/32.66 (~v1(constB173)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21507, 21506])).
% 49.73/32.66 tff(21509,plain,
% 49.73/32.66 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21510,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 49.73/32.66 tff(21511,plain,
% 49.73/32.66 (nextState(constB172, constB173)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21510, 21509])).
% 49.73/32.66 tff(21512,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21513,plain,
% 49.73/32.66 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21514,plain,
% 49.73/32.66 (((~![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))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21513])).
% 49.73/32.66 tff(21515,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21514, 21512])).
% 49.73/32.66 tff(21516,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21517,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21516, 21515])).
% 49.73/32.66 tff(21518,plain,
% 49.73/32.66 (~v101(constB173)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21517, 90, 21511, 21508])).
% 49.73/32.66 tff(21519,plain,
% 49.73/32.66 (((~![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)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21520,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21521,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21520, 21519])).
% 49.73/32.66 tff(21522,plain,
% 49.73/32.66 (v101(constB173) | (~v100(constB173))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21521, 107, 21511])).
% 49.73/32.66 tff(21523,plain,
% 49.73/32.66 (~v100(constB173)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21522, 21518])).
% 49.73/32.66 tff(21524,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21525,plain,
% 49.73/32.66 (((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))) <=> (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21526,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21525])).
% 49.73/32.66 tff(21527,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21526, 21524])).
% 49.73/32.66 tff(21528,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21529,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21528, 21527])).
% 49.73/32.66 tff(21530,plain,
% 49.73/32.66 (v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21529, 122, 21511])).
% 49.73/32.66 tff(21531,plain,
% 49.73/32.66 (v90(constB172, 2) | (~v90(constB173, 2))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21530, 21523])).
% 49.73/32.66 tff(21532,plain,
% 49.73/32.66 (~v90(constB173, 2)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21531, 21505])).
% 49.73/32.66 tff(21533,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21534,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21535,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 49.73/32.66 tff(21536,plain,
% 49.73/32.66 (v130(constB171, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21535, 838, 21385])).
% 49.73/32.66 tff(21537,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21538,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21539,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21538, 21537])).
% 49.73/32.66 tff(21540,plain,
% 49.73/32.66 ((~v130(constB171, 1)) | v127(constB171, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21539, 852, 21431])).
% 49.73/32.66 tff(21541,plain,
% 49.73/32.66 (v127(constB171, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21540, 21536])).
% 49.73/32.66 tff(21542,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21543,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21544,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 49.73/32.66 tff(21545,plain,
% 49.73/32.66 ((~v127(constB171, 1)) | v129(constB172, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21544, 867, 21449])).
% 49.73/32.66 tff(21546,plain,
% 49.73/32.66 (v129(constB172, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21545, 21541])).
% 49.73/32.66 tff(21547,plain,
% 49.73/32.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21548,plain,
% 49.73/32.66 ((v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1))) <=> (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21549,plain,
% 49.73/32.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21548])).
% 49.73/32.66 tff(21550,plain,
% 49.73/32.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21549, 21547])).
% 49.73/32.66 tff(21551,plain,
% 49.73/32.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21552,plain,
% 49.73/32.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21551, 21550])).
% 49.73/32.66 tff(21553,plain,
% 49.73/32.66 (v90(constB172, 1) | (~v100(constB172))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21552, 882, 21546])).
% 49.73/32.66 tff(21554,plain,
% 49.73/32.66 (v90(constB172, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21553, 21483])).
% 49.73/32.66 tff(21555,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21556,plain,
% 49.73/32.66 (((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)) <=> ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21557,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21556])).
% 49.73/32.66 tff(21558,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21557, 21555])).
% 49.73/32.66 tff(21559,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21560,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 49.73/32.66 tff(21561,plain,
% 49.73/32.66 ((~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21560, 900, 21511])).
% 49.73/32.66 tff(21562,plain,
% 49.73/32.66 ((~v90(constB172, 1)) | v90(constB173, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21561, 21523])).
% 49.73/32.66 tff(21563,plain,
% 49.73/32.66 (v90(constB173, 1)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21562, 21554])).
% 49.73/32.66 tff(21564,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21565,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21566,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21565, 21564])).
% 49.73/32.66 tff(21567,plain,
% 49.73/32.66 (~v130(constB171, 0)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21566, 916, 21385])).
% 49.73/32.66 tff(21568,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21569,plain,
% 49.73/32.66 ((v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0))) <=> ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21570,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21569])).
% 49.73/32.66 tff(21571,plain,
% 49.73/32.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21570, 21568])).
% 49.73/32.66 tff(21572,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21573,plain,
% 49.73/32.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21572, 21571])).
% 49.73/32.66 tff(21574,plain,
% 49.73/32.66 ((~v127(constB171, 0)) | v130(constB171, 0)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21573, 930, 21431])).
% 49.73/32.66 tff(21575,plain,
% 49.73/32.66 (~v127(constB171, 0)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21574, 21567])).
% 49.73/32.66 tff(21576,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21577,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21578,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 49.73/32.66 tff(21579,plain,
% 49.73/32.66 (v127(constB171, 0) | (~v129(constB172, 0))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21578, 948, 21449])).
% 49.73/32.66 tff(21580,plain,
% 49.73/32.66 (~v129(constB172, 0)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21579, 21575])).
% 49.73/32.66 tff(21581,plain,
% 49.73/32.66 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21582,plain,
% 49.73/32.66 (((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0)) <=> ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21583,plain,
% 49.73/32.66 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21582])).
% 49.73/32.66 tff(21584,plain,
% 49.73/32.66 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21583, 21581])).
% 49.73/32.66 tff(21585,plain,
% 49.73/32.66 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21586,plain,
% 49.73/32.66 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 49.73/32.66 tff(21587,plain,
% 49.73/32.66 ((~v90(constB172, 0)) | (~v100(constB172))),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21586, 963, 21580])).
% 49.73/32.66 tff(21588,plain,
% 49.73/32.66 (~v90(constB172, 0)),
% 49.73/32.66 inference(unit_resolution,[status(thm)],[21587, 21483])).
% 49.73/32.66 tff(21589,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21590,plain,
% 49.73/32.66 (((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))) <=> (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 49.73/32.66 inference(rewrite,[status(thm)],[])).
% 49.73/32.66 tff(21591,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))))),
% 49.73/32.66 inference(monotonicity,[status(thm)],[21590])).
% 49.73/32.66 tff(21592,plain,
% 49.73/32.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 49.73/32.66 inference(transitivity,[status(thm)],[21591, 21589])).
% 49.73/32.66 tff(21593,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))),
% 49.73/32.66 inference(quant_inst,[status(thm)],[])).
% 49.73/32.66 tff(21594,plain,
% 49.73/32.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))),
% 49.73/32.66 inference(modus_ponens,[status(thm)],[21593, 21592])).
% 49.73/32.66 tff(21595,plain,
% 49.73/32.67 (v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21594, 164, 21511])).
% 49.73/32.67 tff(21596,plain,
% 49.73/32.67 (v90(constB172, 0) | (~v90(constB173, 0))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21595, 21523])).
% 49.73/32.67 tff(21597,plain,
% 49.73/32.67 (~v90(constB173, 0)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21596, 21588])).
% 49.73/32.67 tff(21598,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21599,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21600,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 49.73/32.67 tff(21601,plain,
% 49.73/32.67 (v121(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21600, 990, 21597, 21563, 21532])).
% 49.73/32.67 tff(21602,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21603,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21604,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21603, 21602])).
% 49.73/32.67 tff(21605,plain,
% 49.73/32.67 (v117(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21604, 1001, 21601])).
% 49.73/32.67 tff(21606,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21607,plain,
% 49.73/32.67 (((~v117(constB173)) | v116(constB173)) <=> (v116(constB173) | (~v117(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21608,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21607])).
% 49.73/32.67 tff(21609,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21608, 21606])).
% 49.73/32.67 tff(21610,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21611,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 49.73/32.67 tff(21612,plain,
% 49.73/32.67 (v116(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21611, 224, 21605])).
% 49.73/32.67 tff(21613,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21614,plain,
% 49.73/32.67 (((~v116(constB173)) | v115(constB173)) <=> (v115(constB173) | (~v116(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21615,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21614])).
% 49.73/32.67 tff(21616,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21615, 21613])).
% 49.73/32.67 tff(21617,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21618,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 49.73/32.67 tff(21619,plain,
% 49.73/32.67 (v115(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21618, 238, 21612])).
% 49.73/32.67 tff(21620,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21621,plain,
% 49.73/32.67 (((~v115(constB173)) | v114(constB173)) <=> (v114(constB173) | (~v115(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21622,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21621])).
% 49.73/32.67 tff(21623,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21622, 21620])).
% 49.73/32.67 tff(21624,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21625,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 49.73/32.67 tff(21626,plain,
% 49.73/32.67 (v114(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21625, 252, 21619])).
% 49.73/32.67 tff(21627,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21628,plain,
% 49.73/32.67 (((~v114(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v114(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21629,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21628])).
% 49.73/32.67 tff(21630,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21629, 21627])).
% 49.73/32.67 tff(21631,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21632,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21631, 21630])).
% 49.73/32.67 tff(21633,plain,
% 49.73/32.67 (v113(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21632, 266, 21626])).
% 49.73/32.67 tff(21634,assumption,(v26(constB173)), introduced(assumption)).
% 49.73/32.67 tff(21635,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21636,plain,
% 49.73/32.67 ($false),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21635, 43, 21634])).
% 49.73/32.67 tff(21637,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 49.73/32.67 tff(21638,plain,
% 49.73/32.67 (((~![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))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21639,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21640,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21639, 21638])).
% 49.73/32.67 tff(21641,plain,
% 49.73/32.67 ((~v113(constB173)) | v112(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21640, 280, 21637])).
% 49.73/32.67 tff(21642,plain,
% 49.73/32.67 (v112(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21641, 21633])).
% 49.73/32.67 tff(21643,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21644,plain,
% 49.73/32.67 (((~v112(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v112(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21645,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21644])).
% 49.73/32.67 tff(21646,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21645, 21643])).
% 49.73/32.67 tff(21647,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21648,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21647, 21646])).
% 49.73/32.67 tff(21649,plain,
% 49.73/32.67 (v108(constB173)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21648, 292, 21642])).
% 49.73/32.67 tff(21650,plain,
% 49.73/32.67 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21651,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 49.73/32.67 tff(21652,plain,
% 49.73/32.67 (nextState(constB173, constB174)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21651, 21650])).
% 49.73/32.67 tff(21653,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21654,plain,
% 49.73/32.67 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21655,plain,
% 49.73/32.67 (((~![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))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21654])).
% 49.73/32.67 tff(21656,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21655, 21653])).
% 49.73/32.67 tff(21657,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21658,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 49.73/32.67 tff(21659,plain,
% 49.73/32.67 (v110(constB174) | (~v108(constB173))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21658, 312, 21652])).
% 49.73/32.67 tff(21660,plain,
% 49.73/32.67 (v110(constB174)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21659, 21649])).
% 49.73/32.67 tff(21661,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21662,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21663,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 49.73/32.67 tff(21664,plain,
% 49.73/32.67 (~v104(constB174)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21663, 330, 21652, 21508])).
% 49.73/32.67 tff(21665,plain,
% 49.73/32.67 (((~![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)) | v102(constB174) | v104(constB174))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21666,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21667,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21666, 21665])).
% 49.73/32.67 tff(21668,plain,
% 49.73/32.67 (v102(constB174) | v104(constB174)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21667, 344, 21652])).
% 49.73/32.67 tff(21669,plain,
% 49.73/32.67 (v102(constB174)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21668, 21664])).
% 49.73/32.67 tff(21670,plain,
% 49.73/32.67 (v1(constB174) <=> v1(constB174)),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21671,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 49.73/32.67 tff(21672,plain,
% 49.73/32.67 (v1(constB174)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 49.73/32.67 tff(21673,plain,
% 49.73/32.67 (((~![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)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21674,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21675,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21674, 21673])).
% 49.73/32.67 tff(21676,plain,
% 49.73/32.67 (v101(constB174) | (~v102(constB174))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21675, 362, 21652, 21672])).
% 49.73/32.67 tff(21677,plain,
% 49.73/32.67 (v101(constB174)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21676, 21669])).
% 49.73/32.67 tff(21678,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21679,plain,
% 49.73/32.67 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21680,plain,
% 49.73/32.67 (((~![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))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21679])).
% 49.73/32.67 tff(21681,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21680, 21678])).
% 49.73/32.67 tff(21682,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21683,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21682, 21681])).
% 49.73/32.67 tff(21684,plain,
% 49.73/32.67 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21683, 377, 21652])).
% 49.73/32.67 tff(21685,plain,
% 49.73/32.67 (v100(constB174) | (~v110(constB174))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21684, 21677])).
% 49.73/32.67 tff(21686,plain,
% 49.73/32.67 (v100(constB174)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21685, 21660])).
% 49.73/32.67 tff(21687,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21688,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21689,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 49.73/32.67 tff(21690,plain,
% 49.73/32.67 (~v130(constB173, 2)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21689, 1090, 21601])).
% 49.73/32.67 tff(21691,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21692,plain,
% 49.73/32.67 ((v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2))) <=> ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21693,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21692])).
% 49.73/32.67 tff(21694,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21693, 21691])).
% 49.73/32.67 tff(21695,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21696,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21695, 21694])).
% 49.73/32.67 tff(21697,plain,
% 49.73/32.67 ((~v127(constB173, 2)) | v130(constB173, 2)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21696, 593, 21637])).
% 49.73/32.67 tff(21698,plain,
% 49.73/32.67 (~v127(constB173, 2)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21697, 21690])).
% 49.73/32.67 tff(21699,plain,
% 49.73/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21700,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21701,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21700, 21699])).
% 49.73/32.67 tff(21702,plain,
% 49.73/32.67 (v127(constB173, 2) | (~v129(constB174, 2))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21701, 611, 21652])).
% 49.73/32.67 tff(21703,plain,
% 49.73/32.67 (~v129(constB174, 2)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21702, 21698])).
% 49.73/32.67 tff(21704,plain,
% 49.73/32.67 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21705,plain,
% 49.73/32.67 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21706,plain,
% 49.73/32.67 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21705, 21704])).
% 49.73/32.67 tff(21707,plain,
% 49.73/32.67 ((~v90(constB174, 2)) | (~v100(constB174))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21706, 626, 21703])).
% 49.73/32.67 tff(21708,plain,
% 49.73/32.67 (~v90(constB174, 2)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21707, 21686])).
% 49.73/32.67 tff(21709,plain,
% 49.73/32.67 ((~v1(constB175)) <=> (~v1(constB175))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21710,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 49.73/32.67 tff(21711,plain,
% 49.73/32.67 (~v1(constB175)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21710, 21709])).
% 49.73/32.67 tff(21712,plain,
% 49.73/32.67 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21713,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 49.73/32.67 tff(21714,plain,
% 49.73/32.67 (nextState(constB174, constB175)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 49.73/32.67 tff(21715,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21716,plain,
% 49.73/32.67 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21717,plain,
% 49.73/32.67 (((~![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))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21716])).
% 49.73/32.67 tff(21718,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21717, 21715])).
% 49.73/32.67 tff(21719,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21720,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 49.73/32.67 tff(21721,plain,
% 49.73/32.67 (~v101(constB175)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21720, 90, 21714, 21711])).
% 49.73/32.67 tff(21722,plain,
% 49.73/32.67 (((~![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)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21723,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21724,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21723, 21722])).
% 49.73/32.67 tff(21725,plain,
% 49.73/32.67 (v101(constB175) | (~v100(constB175))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21724, 107, 21714])).
% 49.73/32.67 tff(21726,plain,
% 49.73/32.67 (~v100(constB175)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21725, 21721])).
% 49.73/32.67 tff(21727,plain,
% 49.73/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21728,plain,
% 49.73/32.67 (((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))) <=> (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21729,plain,
% 49.73/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))))),
% 49.73/32.67 inference(monotonicity,[status(thm)],[21728])).
% 49.73/32.67 tff(21730,plain,
% 49.73/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 49.73/32.67 inference(transitivity,[status(thm)],[21729, 21727])).
% 49.73/32.67 tff(21731,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21732,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21731, 21730])).
% 49.73/32.67 tff(21733,plain,
% 49.73/32.67 (v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21732, 122, 21714])).
% 49.73/32.67 tff(21734,plain,
% 49.73/32.67 (v90(constB174, 2) | (~v90(constB175, 2))),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21733, 21726])).
% 49.73/32.67 tff(21735,plain,
% 49.73/32.67 (~v90(constB175, 2)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21734, 21708])).
% 49.73/32.67 tff(21736,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21737,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21738,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21737, 21736])).
% 49.73/32.67 tff(21739,plain,
% 49.73/32.67 (v130(constB173, 1)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21738, 1146, 21601])).
% 49.73/32.67 tff(21740,plain,
% 49.73/32.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21741,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21742,plain,
% 49.73/32.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21741, 21740])).
% 49.73/32.67 tff(21743,plain,
% 49.73/32.67 ((~v130(constB173, 1)) | v127(constB173, 1)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21742, 852, 21637])).
% 49.73/32.67 tff(21744,plain,
% 49.73/32.67 (v127(constB173, 1)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21743, 21739])).
% 49.73/32.67 tff(21745,plain,
% 49.73/32.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21746,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 49.73/32.67 inference(quant_inst,[status(thm)],[])).
% 49.73/32.67 tff(21747,plain,
% 49.73/32.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1)),
% 49.73/32.67 inference(modus_ponens,[status(thm)],[21746, 21745])).
% 49.73/32.67 tff(21748,plain,
% 49.73/32.67 ((~v127(constB173, 1)) | v129(constB174, 1)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21747, 867, 21652])).
% 49.73/32.67 tff(21749,plain,
% 49.73/32.67 (v129(constB174, 1)),
% 49.73/32.67 inference(unit_resolution,[status(thm)],[21748, 21744])).
% 49.73/32.67 tff(21750,plain,
% 49.73/32.67 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21751,plain,
% 49.73/32.67 ((v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1))) <=> (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 49.73/32.67 inference(rewrite,[status(thm)],[])).
% 49.73/32.67 tff(21752,plain,
% 49.73/32.67 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))))),
% 49.73/32.68 inference(monotonicity,[status(thm)],[21751])).
% 49.73/32.68 tff(21753,plain,
% 49.73/32.68 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 49.73/32.68 inference(transitivity,[status(thm)],[21752, 21750])).
% 49.73/32.68 tff(21754,plain,
% 49.73/32.68 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21755,plain,
% 49.73/32.68 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 49.73/32.68 tff(21756,plain,
% 49.73/32.68 (v90(constB174, 1) | (~v100(constB174))),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21755, 882, 21749])).
% 49.73/32.68 tff(21757,plain,
% 49.73/32.68 (v90(constB174, 1)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21756, 21686])).
% 49.73/32.68 tff(21758,plain,
% 49.73/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21759,plain,
% 49.73/32.68 (((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)) <=> ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21760,plain,
% 49.73/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)))),
% 49.73/32.68 inference(monotonicity,[status(thm)],[21759])).
% 49.73/32.68 tff(21761,plain,
% 49.73/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 49.73/32.68 inference(transitivity,[status(thm)],[21760, 21758])).
% 49.73/32.68 tff(21762,plain,
% 49.73/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21763,plain,
% 49.73/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21762, 21761])).
% 49.73/32.68 tff(21764,plain,
% 49.73/32.68 ((~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21763, 900, 21714])).
% 49.73/32.68 tff(21765,plain,
% 49.73/32.68 ((~v90(constB174, 1)) | v90(constB175, 1)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21764, 21726])).
% 49.73/32.68 tff(21766,plain,
% 49.73/32.68 (v90(constB175, 1)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21765, 21757])).
% 49.73/32.68 tff(21767,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21768,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21769,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 49.73/32.68 tff(21770,plain,
% 49.73/32.68 (v130(constB173, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21769, 1184, 21601])).
% 49.73/32.68 tff(21771,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21772,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21773,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21772, 21771])).
% 49.73/32.68 tff(21774,plain,
% 49.73/32.68 ((~v130(constB173, 0)) | v127(constB173, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21773, 515, 21637])).
% 49.73/32.68 tff(21775,plain,
% 49.73/32.68 (v127(constB173, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21774, 21770])).
% 49.73/32.68 tff(21776,plain,
% 49.73/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21777,plain,
% 49.73/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21778,plain,
% 49.73/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21777, 21776])).
% 49.73/32.68 tff(21779,plain,
% 49.73/32.68 ((~v127(constB173, 0)) | v129(constB174, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21778, 530, 21652])).
% 49.73/32.68 tff(21780,plain,
% 49.73/32.68 (v129(constB174, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21779, 21775])).
% 49.73/32.68 tff(21781,plain,
% 49.73/32.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21782,plain,
% 49.73/32.68 ((v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0))) <=> (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21783,plain,
% 49.73/32.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))))),
% 49.73/32.68 inference(monotonicity,[status(thm)],[21782])).
% 49.73/32.68 tff(21784,plain,
% 49.73/32.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 49.73/32.68 inference(transitivity,[status(thm)],[21783, 21781])).
% 49.73/32.68 tff(21785,plain,
% 49.73/32.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21786,plain,
% 49.73/32.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21785, 21784])).
% 49.73/32.68 tff(21787,plain,
% 49.73/32.68 (v90(constB174, 0) | (~v100(constB174))),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21786, 545, 21780])).
% 49.73/32.68 tff(21788,plain,
% 49.73/32.68 (v90(constB174, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21787, 21686])).
% 49.73/32.68 tff(21789,plain,
% 49.73/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21790,plain,
% 49.73/32.68 (((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)) <=> ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21791,plain,
% 49.73/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)))),
% 49.73/32.68 inference(monotonicity,[status(thm)],[21790])).
% 49.73/32.68 tff(21792,plain,
% 49.73/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 49.73/32.68 inference(transitivity,[status(thm)],[21791, 21789])).
% 49.73/32.68 tff(21793,plain,
% 49.73/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21794,plain,
% 49.73/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 49.73/32.68 tff(21795,plain,
% 49.73/32.68 ((~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21794, 563, 21714])).
% 49.73/32.68 tff(21796,plain,
% 49.73/32.68 ((~v90(constB174, 0)) | v90(constB175, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21795, 21726])).
% 49.73/32.68 tff(21797,plain,
% 49.73/32.68 (v90(constB175, 0)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21796, 21788])).
% 49.73/32.68 tff(21798,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21799,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21800,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21799, 21798])).
% 49.73/32.68 tff(21801,plain,
% 49.73/32.68 (v122(constB175)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21800, 1225, 21797, 21766, 21735])).
% 49.73/32.68 tff(21802,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21803,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21804,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 49.73/32.68 tff(21805,plain,
% 49.73/32.68 (v116(constB175)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21804, 1236, 21801])).
% 49.73/32.68 tff(21806,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB175)) | v115(constB175))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21807,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21808,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB175)) | v115(constB175)),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21807, 21806])).
% 49.73/32.68 tff(21809,plain,
% 49.73/32.68 (v115(constB175)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21808, 238, 21805])).
% 49.73/32.68 tff(21810,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21811,plain,
% 49.73/32.68 (((~v115(constB175)) | v114(constB175)) <=> (v114(constB175) | (~v115(constB175)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21812,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175))))),
% 49.73/32.68 inference(monotonicity,[status(thm)],[21811])).
% 49.73/32.68 tff(21813,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 49.73/32.68 inference(transitivity,[status(thm)],[21812, 21810])).
% 49.73/32.68 tff(21814,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21815,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175))),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21814, 21813])).
% 49.73/32.68 tff(21816,plain,
% 49.73/32.68 (v114(constB175)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21815, 252, 21809])).
% 49.73/32.68 tff(21817,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21818,plain,
% 49.73/32.68 (((~v114(constB175)) | v113(constB175)) <=> (v113(constB175) | (~v114(constB175)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21819,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175))))),
% 49.73/32.68 inference(monotonicity,[status(thm)],[21818])).
% 49.73/32.68 tff(21820,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 49.73/32.68 inference(transitivity,[status(thm)],[21819, 21817])).
% 49.73/32.68 tff(21821,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21822,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175))),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21821, 21820])).
% 49.73/32.68 tff(21823,plain,
% 49.73/32.68 (v113(constB175)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21822, 266, 21816])).
% 49.73/32.68 tff(21824,assumption,(v26(constB175)), introduced(assumption)).
% 49.73/32.68 tff(21825,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21826,plain,
% 49.73/32.68 ($false),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21825, 43, 21824])).
% 49.73/32.68 tff(21827,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 49.73/32.68 tff(21828,plain,
% 49.73/32.68 (((~![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)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21829,plain,
% 49.73/32.68 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21830,plain,
% 49.73/32.68 (((~![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))))),
% 49.73/32.68 inference(monotonicity,[status(thm)],[21829])).
% 49.73/32.68 tff(21831,plain,
% 49.73/32.68 (((~![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)))),
% 49.73/32.68 inference(transitivity,[status(thm)],[21830, 21828])).
% 49.73/32.68 tff(21832,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 49.73/32.68 inference(quant_inst,[status(thm)],[])).
% 49.73/32.68 tff(21833,plain,
% 49.73/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 49.73/32.68 inference(modus_ponens,[status(thm)],[21832, 21831])).
% 49.73/32.68 tff(21834,plain,
% 49.73/32.68 (v112(constB175) | (~v113(constB175))),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21833, 280, 21827])).
% 49.73/32.68 tff(21835,plain,
% 49.73/32.68 (v112(constB175)),
% 49.73/32.68 inference(unit_resolution,[status(thm)],[21834, 21823])).
% 49.73/32.68 tff(21836,plain,
% 49.73/32.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 49.73/32.68 inference(rewrite,[status(thm)],[])).
% 49.73/32.68 tff(21837,plain,
% 49.73/32.68 (((~v112(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v112(constB175)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21838,plain,
% 49.76/32.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175))))),
% 49.76/32.68 inference(monotonicity,[status(thm)],[21837])).
% 49.76/32.68 tff(21839,plain,
% 49.76/32.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 49.76/32.68 inference(transitivity,[status(thm)],[21838, 21836])).
% 49.76/32.68 tff(21840,plain,
% 49.76/32.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21841,plain,
% 49.76/32.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21840, 21839])).
% 49.76/32.68 tff(21842,plain,
% 49.76/32.68 (v108(constB175)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21841, 292, 21835])).
% 49.76/32.68 tff(21843,plain,
% 49.76/32.68 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21844,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 49.76/32.68 tff(21845,plain,
% 49.76/32.68 (nextState(constB175, constB176)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21844, 21843])).
% 49.76/32.68 tff(21846,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21847,plain,
% 49.76/32.68 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21848,plain,
% 49.76/32.68 (((~![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))))),
% 49.76/32.68 inference(monotonicity,[status(thm)],[21847])).
% 49.76/32.68 tff(21849,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(transitivity,[status(thm)],[21848, 21846])).
% 49.76/32.68 tff(21850,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21851,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21850, 21849])).
% 49.76/32.68 tff(21852,plain,
% 49.76/32.68 (v110(constB176) | (~v108(constB175))),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21851, 312, 21845])).
% 49.76/32.68 tff(21853,plain,
% 49.76/32.68 (v110(constB176)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21852, 21842])).
% 49.76/32.68 tff(21854,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21855,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21856,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21855, 21854])).
% 49.76/32.68 tff(21857,plain,
% 49.76/32.68 (~v104(constB176)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21856, 330, 21845, 21711])).
% 49.76/32.68 tff(21858,plain,
% 49.76/32.68 (((~![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)) | v102(constB176) | v104(constB176))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21859,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21860,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21859, 21858])).
% 49.76/32.68 tff(21861,plain,
% 49.76/32.68 (v102(constB176) | v104(constB176)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21860, 344, 21845])).
% 49.76/32.68 tff(21862,plain,
% 49.76/32.68 (v102(constB176)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21861, 21857])).
% 49.76/32.68 tff(21863,plain,
% 49.76/32.68 (v1(constB176) <=> v1(constB176)),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21864,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 49.76/32.68 tff(21865,plain,
% 49.76/32.68 (v1(constB176)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21864, 21863])).
% 49.76/32.68 tff(21866,plain,
% 49.76/32.68 (((~![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)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21867,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21868,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21867, 21866])).
% 49.76/32.68 tff(21869,plain,
% 49.76/32.68 (v101(constB176) | (~v102(constB176))),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21868, 362, 21845, 21865])).
% 49.76/32.68 tff(21870,plain,
% 49.76/32.68 (v101(constB176)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21869, 21862])).
% 49.76/32.68 tff(21871,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21872,plain,
% 49.76/32.68 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21873,plain,
% 49.76/32.68 (((~![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))))),
% 49.76/32.68 inference(monotonicity,[status(thm)],[21872])).
% 49.76/32.68 tff(21874,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(transitivity,[status(thm)],[21873, 21871])).
% 49.76/32.68 tff(21875,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21876,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21875, 21874])).
% 49.76/32.68 tff(21877,plain,
% 49.76/32.68 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21876, 377, 21845])).
% 49.76/32.68 tff(21878,plain,
% 49.76/32.68 (v100(constB176) | (~v110(constB176))),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21877, 21870])).
% 49.76/32.68 tff(21879,plain,
% 49.76/32.68 (v100(constB176)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21878, 21853])).
% 49.76/32.68 tff(21880,plain,
% 49.76/32.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21881,plain,
% 49.76/32.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21882,plain,
% 49.76/32.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21881, 21880])).
% 49.76/32.68 tff(21883,plain,
% 49.76/32.68 (v130(constB175, 2)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21882, 1314, 21801])).
% 49.76/32.68 tff(21884,plain,
% 49.76/32.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21885,plain,
% 49.76/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21886,plain,
% 49.76/32.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21885, 21884])).
% 49.76/32.68 tff(21887,plain,
% 49.76/32.68 ((~v130(constB175, 2)) | v127(constB175, 2)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21886, 1328, 21827])).
% 49.76/32.68 tff(21888,plain,
% 49.76/32.68 (v127(constB175, 2)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21887, 21883])).
% 49.76/32.68 tff(21889,plain,
% 49.76/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21890,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21891,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 49.76/32.68 tff(21892,plain,
% 49.76/32.68 ((~v127(constB175, 2)) | v129(constB176, 2)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21891, 1343, 21845])).
% 49.76/32.68 tff(21893,plain,
% 49.76/32.68 (v129(constB176, 2)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21892, 21888])).
% 49.76/32.68 tff(21894,plain,
% 49.76/32.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21895,plain,
% 49.76/32.68 ((v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2))) <=> (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21896,plain,
% 49.76/32.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))))),
% 49.76/32.68 inference(monotonicity,[status(thm)],[21895])).
% 49.76/32.68 tff(21897,plain,
% 49.76/32.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 49.76/32.68 inference(transitivity,[status(thm)],[21896, 21894])).
% 49.76/32.68 tff(21898,plain,
% 49.76/32.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21899,plain,
% 49.76/32.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21898, 21897])).
% 49.76/32.68 tff(21900,plain,
% 49.76/32.68 (v90(constB176, 2) | (~v100(constB176))),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21899, 1358, 21893])).
% 49.76/32.68 tff(21901,plain,
% 49.76/32.68 (v90(constB176, 2)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21900, 21879])).
% 49.76/32.68 tff(21902,plain,
% 49.76/32.68 ((~v1(constB177)) <=> (~v1(constB177))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21903,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 49.76/32.68 tff(21904,plain,
% 49.76/32.68 (~v1(constB177)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21903, 21902])).
% 49.76/32.68 tff(21905,plain,
% 49.76/32.68 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21906,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 49.76/32.68 tff(21907,plain,
% 49.76/32.68 (nextState(constB176, constB177)),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21906, 21905])).
% 49.76/32.68 tff(21908,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21909,plain,
% 49.76/32.68 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21910,plain,
% 49.76/32.68 (((~![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))))),
% 49.76/32.68 inference(monotonicity,[status(thm)],[21909])).
% 49.76/32.68 tff(21911,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(transitivity,[status(thm)],[21910, 21908])).
% 49.76/32.68 tff(21912,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21913,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21912, 21911])).
% 49.76/32.68 tff(21914,plain,
% 49.76/32.68 (~v101(constB177)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21913, 90, 21907, 21904])).
% 49.76/32.68 tff(21915,plain,
% 49.76/32.68 (((~![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)))),
% 49.76/32.68 inference(rewrite,[status(thm)],[])).
% 49.76/32.68 tff(21916,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 49.76/32.68 inference(quant_inst,[status(thm)],[])).
% 49.76/32.68 tff(21917,plain,
% 49.76/32.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 49.76/32.68 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 49.76/32.68 tff(21918,plain,
% 49.76/32.68 (v101(constB177) | (~v100(constB177))),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21917, 107, 21907])).
% 49.76/32.68 tff(21919,plain,
% 49.76/32.68 (~v100(constB177)),
% 49.76/32.68 inference(unit_resolution,[status(thm)],[21918, 21914])).
% 49.76/32.68 tff(21920,plain,
% 49.76/32.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21921,plain,
% 49.76/32.69 (((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)) <=> ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21922,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[21921])).
% 49.76/32.69 tff(21923,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 49.76/32.69 inference(transitivity,[status(thm)],[21922, 21920])).
% 49.76/32.69 tff(21924,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21925,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21924, 21923])).
% 49.76/32.69 tff(21926,plain,
% 49.76/32.69 ((~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21925, 1394, 21907])).
% 49.76/32.69 tff(21927,plain,
% 49.76/32.69 ((~v90(constB176, 2)) | v90(constB177, 2)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21926, 21919])).
% 49.76/32.69 tff(21928,plain,
% 49.76/32.69 (v90(constB177, 2)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21927, 21901])).
% 49.76/32.69 tff(21929,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21930,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21931,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 49.76/32.69 tff(21932,plain,
% 49.76/32.69 (~v130(constB175, 1)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21931, 1410, 21801])).
% 49.76/32.69 tff(21933,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21934,plain,
% 49.76/32.69 ((v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1))) <=> ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21935,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[21934])).
% 49.76/32.69 tff(21936,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 49.76/32.69 inference(transitivity,[status(thm)],[21935, 21933])).
% 49.76/32.69 tff(21937,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21938,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 49.76/32.69 tff(21939,plain,
% 49.76/32.69 ((~v127(constB175, 1)) | v130(constB175, 1)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21938, 408, 21827])).
% 49.76/32.69 tff(21940,plain,
% 49.76/32.69 (~v127(constB175, 1)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21939, 21932])).
% 49.76/32.69 tff(21941,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21942,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21943,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 49.76/32.69 tff(21944,plain,
% 49.76/32.69 (v127(constB175, 1) | (~v129(constB176, 1))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21943, 438, 21845])).
% 49.76/32.69 tff(21945,plain,
% 49.76/32.69 (~v129(constB176, 1)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21944, 21940])).
% 49.76/32.69 tff(21946,plain,
% 49.76/32.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21947,plain,
% 49.76/32.69 (((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1)) <=> ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21948,plain,
% 49.76/32.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[21947])).
% 49.76/32.69 tff(21949,plain,
% 49.76/32.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[21948, 21946])).
% 49.76/32.69 tff(21950,plain,
% 49.76/32.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21951,plain,
% 49.76/32.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21950, 21949])).
% 49.76/32.69 tff(21952,plain,
% 49.76/32.69 ((~v90(constB176, 1)) | (~v100(constB176))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21951, 453, 21945])).
% 49.76/32.69 tff(21953,plain,
% 49.76/32.69 (~v90(constB176, 1)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21952, 21879])).
% 49.76/32.69 tff(21954,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21955,plain,
% 49.76/32.69 (((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))) <=> (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21956,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[21955])).
% 49.76/32.69 tff(21957,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[21956, 21954])).
% 49.76/32.69 tff(21958,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21959,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 49.76/32.69 tff(21960,plain,
% 49.76/32.69 (v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21959, 143, 21907])).
% 49.76/32.69 tff(21961,plain,
% 49.76/32.69 (v90(constB176, 1) | (~v90(constB177, 1))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21960, 21919])).
% 49.76/32.69 tff(21962,plain,
% 49.76/32.69 (~v90(constB177, 1)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21961, 21953])).
% 49.76/32.69 tff(21963,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21964,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21965,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 49.76/32.69 tff(21966,plain,
% 49.76/32.69 (~v130(constB175, 0)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21965, 1451, 21801])).
% 49.76/32.69 tff(21967,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21968,plain,
% 49.76/32.69 ((v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0))) <=> ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21969,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[21968])).
% 49.76/32.69 tff(21970,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 49.76/32.69 inference(transitivity,[status(thm)],[21969, 21967])).
% 49.76/32.69 tff(21971,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21972,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21971, 21970])).
% 49.76/32.69 tff(21973,plain,
% 49.76/32.69 ((~v127(constB175, 0)) | v130(constB175, 0)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21972, 930, 21827])).
% 49.76/32.69 tff(21974,plain,
% 49.76/32.69 (~v127(constB175, 0)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21973, 21966])).
% 49.76/32.69 tff(21975,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21976,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21977,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21976, 21975])).
% 49.76/32.69 tff(21978,plain,
% 49.76/32.69 (v127(constB175, 0) | (~v129(constB176, 0))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21977, 948, 21845])).
% 49.76/32.69 tff(21979,plain,
% 49.76/32.69 (~v129(constB176, 0)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21978, 21974])).
% 49.76/32.69 tff(21980,plain,
% 49.76/32.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21981,plain,
% 49.76/32.69 (((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0)) <=> ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21982,plain,
% 49.76/32.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[21981])).
% 49.76/32.69 tff(21983,plain,
% 49.76/32.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[21982, 21980])).
% 49.76/32.69 tff(21984,plain,
% 49.76/32.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21985,plain,
% 49.76/32.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21984, 21983])).
% 49.76/32.69 tff(21986,plain,
% 49.76/32.69 ((~v90(constB176, 0)) | (~v100(constB176))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21985, 963, 21979])).
% 49.76/32.69 tff(21987,plain,
% 49.76/32.69 (~v90(constB176, 0)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21986, 21879])).
% 49.76/32.69 tff(21988,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21989,plain,
% 49.76/32.69 (((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))) <=> (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21990,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[21989])).
% 49.76/32.69 tff(21991,plain,
% 49.76/32.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[21990, 21988])).
% 49.76/32.69 tff(21992,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21993,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21992, 21991])).
% 49.76/32.69 tff(21994,plain,
% 49.76/32.69 (v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21993, 164, 21907])).
% 49.76/32.69 tff(21995,plain,
% 49.76/32.69 (v90(constB176, 0) | (~v90(constB177, 0))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21994, 21919])).
% 49.76/32.69 tff(21996,plain,
% 49.76/32.69 (~v90(constB177, 0)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21995, 21987])).
% 49.76/32.69 tff(21997,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(21998,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(21999,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[21998, 21997])).
% 49.76/32.69 tff(22000,plain,
% 49.76/32.69 (v123(constB177)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[21999, 1495, 21996, 21962, 21928])).
% 49.76/32.69 tff(22001,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB177)) | v115(constB177))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22002,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22003,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB177)) | v115(constB177)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22002, 22001])).
% 49.76/32.69 tff(22004,plain,
% 49.76/32.69 (v115(constB177)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22003, 1506, 22000])).
% 49.76/32.69 tff(22005,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22006,plain,
% 49.76/32.69 (((~v115(constB177)) | v114(constB177)) <=> (v114(constB177) | (~v115(constB177)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22007,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[22006])).
% 49.76/32.69 tff(22008,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[22007, 22005])).
% 49.76/32.69 tff(22009,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22010,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22009, 22008])).
% 49.76/32.69 tff(22011,plain,
% 49.76/32.69 (v114(constB177)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22010, 252, 22004])).
% 49.76/32.69 tff(22012,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22013,plain,
% 49.76/32.69 (((~v114(constB177)) | v113(constB177)) <=> (v113(constB177) | (~v114(constB177)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22014,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[22013])).
% 49.76/32.69 tff(22015,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[22014, 22012])).
% 49.76/32.69 tff(22016,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22017,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22016, 22015])).
% 49.76/32.69 tff(22018,plain,
% 49.76/32.69 (v113(constB177)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22017, 266, 22011])).
% 49.76/32.69 tff(22019,assumption,(v26(constB177)), introduced(assumption)).
% 49.76/32.69 tff(22020,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22021,plain,
% 49.76/32.69 ($false),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22020, 43, 22019])).
% 49.76/32.69 tff(22022,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.69 tff(22023,plain,
% 49.76/32.69 (((~![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))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22024,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22025,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22024, 22023])).
% 49.76/32.69 tff(22026,plain,
% 49.76/32.69 ((~v113(constB177)) | v112(constB177)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22025, 280, 22022])).
% 49.76/32.69 tff(22027,plain,
% 49.76/32.69 (v112(constB177)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22026, 22018])).
% 49.76/32.69 tff(22028,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22029,plain,
% 49.76/32.69 (((~v112(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v112(constB177)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22030,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[22029])).
% 49.76/32.69 tff(22031,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[22030, 22028])).
% 49.76/32.69 tff(22032,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22033,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22032, 22031])).
% 49.76/32.69 tff(22034,plain,
% 49.76/32.69 (v108(constB177)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22033, 292, 22027])).
% 49.76/32.69 tff(22035,plain,
% 49.76/32.69 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22036,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 49.76/32.69 tff(22037,plain,
% 49.76/32.69 (nextState(constB177, constB178)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22036, 22035])).
% 49.76/32.69 tff(22038,plain,
% 49.76/32.69 (((~![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)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22039,plain,
% 49.76/32.69 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22040,plain,
% 49.76/32.69 (((~![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))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[22039])).
% 49.76/32.69 tff(22041,plain,
% 49.76/32.69 (((~![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)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[22040, 22038])).
% 49.76/32.69 tff(22042,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22043,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 49.76/32.69 tff(22044,plain,
% 49.76/32.69 (v110(constB178) | (~v108(constB177))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22043, 312, 22037])).
% 49.76/32.69 tff(22045,plain,
% 49.76/32.69 (v110(constB178)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22044, 22034])).
% 49.76/32.69 tff(22046,plain,
% 49.76/32.69 (((~![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)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22047,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22048,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22047, 22046])).
% 49.76/32.69 tff(22049,plain,
% 49.76/32.69 (~v104(constB178)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22048, 330, 22037, 21904])).
% 49.76/32.69 tff(22050,plain,
% 49.76/32.69 (((~![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)) | v102(constB178) | v104(constB178))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22051,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22052,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22051, 22050])).
% 49.76/32.69 tff(22053,plain,
% 49.76/32.69 (v102(constB178) | v104(constB178)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22052, 344, 22037])).
% 49.76/32.69 tff(22054,plain,
% 49.76/32.69 (v102(constB178)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22053, 22049])).
% 49.76/32.69 tff(22055,plain,
% 49.76/32.69 (v1(constB178) <=> v1(constB178)),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22056,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 49.76/32.69 tff(22057,plain,
% 49.76/32.69 (v1(constB178)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22056, 22055])).
% 49.76/32.69 tff(22058,plain,
% 49.76/32.69 (((~![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)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22059,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22060,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22059, 22058])).
% 49.76/32.69 tff(22061,plain,
% 49.76/32.69 (v101(constB178) | (~v102(constB178))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22060, 362, 22037, 22057])).
% 49.76/32.69 tff(22062,plain,
% 49.76/32.69 (v101(constB178)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22061, 22054])).
% 49.76/32.69 tff(22063,plain,
% 49.76/32.69 (((~![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)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22064,plain,
% 49.76/32.69 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22065,plain,
% 49.76/32.69 (((~![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))))),
% 49.76/32.69 inference(monotonicity,[status(thm)],[22064])).
% 49.76/32.69 tff(22066,plain,
% 49.76/32.69 (((~![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)))),
% 49.76/32.69 inference(transitivity,[status(thm)],[22065, 22063])).
% 49.76/32.69 tff(22067,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22068,plain,
% 49.76/32.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 49.76/32.69 tff(22069,plain,
% 49.76/32.69 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22068, 377, 22037])).
% 49.76/32.69 tff(22070,plain,
% 49.76/32.69 (v100(constB178) | (~v110(constB178))),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22069, 22062])).
% 49.76/32.69 tff(22071,plain,
% 49.76/32.69 (v100(constB178)),
% 49.76/32.69 inference(unit_resolution,[status(thm)],[22070, 22045])).
% 49.76/32.69 tff(22072,plain,
% 49.76/32.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2))),
% 49.76/32.69 inference(rewrite,[status(thm)],[])).
% 49.76/32.69 tff(22073,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))),
% 49.76/32.69 inference(quant_inst,[status(thm)],[])).
% 49.76/32.69 tff(22074,plain,
% 49.76/32.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2)),
% 49.76/32.69 inference(modus_ponens,[status(thm)],[22073, 22072])).
% 49.76/32.69 tff(22075,plain,
% 49.76/32.69 (v130(constB177, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22074, 1580, 22000])).
% 49.76/32.70 tff(22076,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22077,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22078,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 49.76/32.70 tff(22079,plain,
% 49.76/32.70 ((~v130(constB177, 2)) | v127(constB177, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22078, 1328, 22022])).
% 49.76/32.70 tff(22080,plain,
% 49.76/32.70 (v127(constB177, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22079, 22075])).
% 49.76/32.70 tff(22081,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22082,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22083,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22082, 22081])).
% 49.76/32.70 tff(22084,plain,
% 49.76/32.70 ((~v127(constB177, 2)) | v129(constB178, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22083, 1343, 22037])).
% 49.76/32.70 tff(22085,plain,
% 49.76/32.70 (v129(constB178, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22084, 22080])).
% 49.76/32.70 tff(22086,plain,
% 49.76/32.70 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22087,plain,
% 49.76/32.70 ((v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2))) <=> (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22088,plain,
% 49.76/32.70 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22087])).
% 49.76/32.70 tff(22089,plain,
% 49.76/32.70 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22088, 22086])).
% 49.76/32.70 tff(22090,plain,
% 49.76/32.70 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22091,plain,
% 49.76/32.70 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22090, 22089])).
% 49.76/32.70 tff(22092,plain,
% 49.76/32.70 (v90(constB178, 2) | (~v100(constB178))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22091, 1358, 22085])).
% 49.76/32.70 tff(22093,plain,
% 49.76/32.70 (v90(constB178, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22092, 22071])).
% 49.76/32.70 tff(22094,plain,
% 49.76/32.70 ((~v1(constB179)) <=> (~v1(constB179))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22095,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 49.76/32.70 tff(22096,plain,
% 49.76/32.70 (~v1(constB179)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22095, 22094])).
% 49.76/32.70 tff(22097,plain,
% 49.76/32.70 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22098,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 49.76/32.70 tff(22099,plain,
% 49.76/32.70 (nextState(constB178, constB179)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22098, 22097])).
% 49.76/32.70 tff(22100,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22101,plain,
% 49.76/32.70 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22102,plain,
% 49.76/32.70 (((~![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))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22101])).
% 49.76/32.70 tff(22103,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22102, 22100])).
% 49.76/32.70 tff(22104,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22105,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22104, 22103])).
% 49.76/32.70 tff(22106,plain,
% 49.76/32.70 (~v101(constB179)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22105, 90, 22099, 22096])).
% 49.76/32.70 tff(22107,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22108,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22109,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22108, 22107])).
% 49.76/32.70 tff(22110,plain,
% 49.76/32.70 (v101(constB179) | (~v100(constB179))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22109, 107, 22099])).
% 49.76/32.70 tff(22111,plain,
% 49.76/32.70 (~v100(constB179)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22110, 22106])).
% 49.76/32.70 tff(22112,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22113,plain,
% 49.76/32.70 (((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2)) <=> ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22114,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2)))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22113])).
% 49.76/32.70 tff(22115,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22114, 22112])).
% 49.76/32.70 tff(22116,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22117,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22116, 22115])).
% 49.76/32.70 tff(22118,plain,
% 49.76/32.70 ((~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22117, 1394, 22099])).
% 49.76/32.70 tff(22119,plain,
% 49.76/32.70 ((~v90(constB178, 2)) | v90(constB179, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22118, 22111])).
% 49.76/32.70 tff(22120,plain,
% 49.76/32.70 (v90(constB179, 2)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22119, 22093])).
% 49.76/32.70 tff(22121,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB177)) | (~v130(constB177, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB177)) | (~v130(constB177, 1)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22122,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB177)) | (~v130(constB177, 1)))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22123,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB177)) | (~v130(constB177, 1))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 49.76/32.70 tff(22124,plain,
% 49.76/32.70 (~v130(constB177, 1)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22123, 1636, 22000])).
% 49.76/32.70 tff(22125,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22126,plain,
% 49.76/32.70 ((v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1))) <=> ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22127,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1)))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22126])).
% 49.76/32.70 tff(22128,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22127, 22125])).
% 49.76/32.70 tff(22129,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22130,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22129, 22128])).
% 49.76/32.70 tff(22131,plain,
% 49.76/32.70 ((~v127(constB177, 1)) | v130(constB177, 1)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22130, 408, 22022])).
% 49.76/32.70 tff(22132,plain,
% 49.76/32.70 (~v127(constB177, 1)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22131, 22124])).
% 49.76/32.70 tff(22133,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22134,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22135,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22134, 22133])).
% 49.76/32.70 tff(22136,plain,
% 49.76/32.70 (v127(constB177, 1) | (~v129(constB178, 1))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22135, 438, 22037])).
% 49.76/32.70 tff(22137,plain,
% 49.76/32.70 (~v129(constB178, 1)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22136, 22132])).
% 49.76/32.70 tff(22138,plain,
% 49.76/32.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22139,plain,
% 49.76/32.70 (((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1)) <=> ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22140,plain,
% 49.76/32.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22139])).
% 49.76/32.70 tff(22141,plain,
% 49.76/32.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22140, 22138])).
% 49.76/32.70 tff(22142,plain,
% 49.76/32.70 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22143,plain,
% 49.76/32.70 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22142, 22141])).
% 49.76/32.70 tff(22144,plain,
% 49.76/32.70 ((~v90(constB178, 1)) | (~v100(constB178))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22143, 453, 22137])).
% 49.76/32.70 tff(22145,plain,
% 49.76/32.70 (~v90(constB178, 1)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22144, 22071])).
% 49.76/32.70 tff(22146,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22147,plain,
% 49.76/32.70 (((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1))) <=> (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22148,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22147])).
% 49.76/32.70 tff(22149,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22148, 22146])).
% 49.76/32.70 tff(22150,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22151,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22150, 22149])).
% 49.76/32.70 tff(22152,plain,
% 49.76/32.70 (v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22151, 143, 22099])).
% 49.76/32.70 tff(22153,plain,
% 49.76/32.70 (v90(constB178, 1) | (~v90(constB179, 1))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22152, 22111])).
% 49.76/32.70 tff(22154,plain,
% 49.76/32.70 (~v90(constB179, 1)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22153, 22145])).
% 49.76/32.70 tff(22155,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB177)) | v130(constB177, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB177)) | v130(constB177, 0))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22156,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB177)) | v130(constB177, 0))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22157,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB177)) | v130(constB177, 0)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22156, 22155])).
% 49.76/32.70 tff(22158,plain,
% 49.76/32.70 (v130(constB177, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22157, 1677, 22000])).
% 49.76/32.70 tff(22159,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22160,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22161,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22160, 22159])).
% 49.76/32.70 tff(22162,plain,
% 49.76/32.70 ((~v130(constB177, 0)) | v127(constB177, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22161, 515, 22022])).
% 49.76/32.70 tff(22163,plain,
% 49.76/32.70 (v127(constB177, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22162, 22158])).
% 49.76/32.70 tff(22164,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22165,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22166,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22165, 22164])).
% 49.76/32.70 tff(22167,plain,
% 49.76/32.70 ((~v127(constB177, 0)) | v129(constB178, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22166, 530, 22037])).
% 49.76/32.70 tff(22168,plain,
% 49.76/32.70 (v129(constB178, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22167, 22163])).
% 49.76/32.70 tff(22169,plain,
% 49.76/32.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22170,plain,
% 49.76/32.70 ((v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0))) <=> (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22171,plain,
% 49.76/32.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22170])).
% 49.76/32.70 tff(22172,plain,
% 49.76/32.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22171, 22169])).
% 49.76/32.70 tff(22173,plain,
% 49.76/32.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22174,plain,
% 49.76/32.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22173, 22172])).
% 49.76/32.70 tff(22175,plain,
% 49.76/32.70 (v90(constB178, 0) | (~v100(constB178))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22174, 545, 22168])).
% 49.76/32.70 tff(22176,plain,
% 49.76/32.70 (v90(constB178, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22175, 22071])).
% 49.76/32.70 tff(22177,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22178,plain,
% 49.76/32.70 (((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0)) <=> ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22179,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0)))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22178])).
% 49.76/32.70 tff(22180,plain,
% 49.76/32.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22179, 22177])).
% 49.76/32.70 tff(22181,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22182,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22181, 22180])).
% 49.76/32.70 tff(22183,plain,
% 49.76/32.70 ((~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22182, 563, 22099])).
% 49.76/32.70 tff(22184,plain,
% 49.76/32.70 ((~v90(constB178, 0)) | v90(constB179, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22183, 22111])).
% 49.76/32.70 tff(22185,plain,
% 49.76/32.70 (v90(constB179, 0)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22184, 22176])).
% 49.76/32.70 tff(22186,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22187,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22188,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 49.76/32.70 tff(22189,plain,
% 49.76/32.70 (v124(constB179)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22188, 1718, 22185, 22154, 22120])).
% 49.76/32.70 tff(22190,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB179)) | v114(constB179))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22191,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22192,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB179)) | v114(constB179)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22191, 22190])).
% 49.76/32.70 tff(22193,plain,
% 49.76/32.70 (v114(constB179)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22192, 1775, 22189])).
% 49.76/32.70 tff(22194,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22195,plain,
% 49.76/32.70 (((~v114(constB179)) | v113(constB179)) <=> (v113(constB179) | (~v114(constB179)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22196,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22195])).
% 49.76/32.70 tff(22197,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22196, 22194])).
% 49.76/32.70 tff(22198,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22199,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22198, 22197])).
% 49.76/32.70 tff(22200,plain,
% 49.76/32.70 (v113(constB179)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22199, 266, 22193])).
% 49.76/32.70 tff(22201,assumption,(v26(constB179)), introduced(assumption)).
% 49.76/32.70 tff(22202,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22203,plain,
% 49.76/32.70 ($false),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22202, 43, 22201])).
% 49.76/32.70 tff(22204,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.70 tff(22205,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22206,plain,
% 49.76/32.70 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22207,plain,
% 49.76/32.70 (((~![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))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22206])).
% 49.76/32.70 tff(22208,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22207, 22205])).
% 49.76/32.70 tff(22209,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22210,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22209, 22208])).
% 49.76/32.70 tff(22211,plain,
% 49.76/32.70 (v112(constB179) | (~v113(constB179))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22210, 280, 22204])).
% 49.76/32.70 tff(22212,plain,
% 49.76/32.70 (v112(constB179)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22211, 22200])).
% 49.76/32.70 tff(22213,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22214,plain,
% 49.76/32.70 (((~v112(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v112(constB179)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22215,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22214])).
% 49.76/32.70 tff(22216,plain,
% 49.76/32.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22215, 22213])).
% 49.76/32.70 tff(22217,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22218,plain,
% 49.76/32.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22217, 22216])).
% 49.76/32.70 tff(22219,plain,
% 49.76/32.70 (v108(constB179)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22218, 292, 22212])).
% 49.76/32.70 tff(22220,plain,
% 49.76/32.70 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22221,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 49.76/32.70 tff(22222,plain,
% 49.76/32.70 (nextState(constB179, constB180)),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22221, 22220])).
% 49.76/32.70 tff(22223,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22224,plain,
% 49.76/32.70 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 49.76/32.70 inference(rewrite,[status(thm)],[])).
% 49.76/32.70 tff(22225,plain,
% 49.76/32.70 (((~![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))))),
% 49.76/32.70 inference(monotonicity,[status(thm)],[22224])).
% 49.76/32.70 tff(22226,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.70 inference(transitivity,[status(thm)],[22225, 22223])).
% 49.76/32.70 tff(22227,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 49.76/32.70 inference(quant_inst,[status(thm)],[])).
% 49.76/32.70 tff(22228,plain,
% 49.76/32.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 49.76/32.70 inference(modus_ponens,[status(thm)],[22227, 22226])).
% 49.76/32.70 tff(22229,plain,
% 49.76/32.70 (v110(constB180) | (~v108(constB179))),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22228, 312, 22222])).
% 49.76/32.70 tff(22230,plain,
% 49.76/32.70 (v110(constB180)),
% 49.76/32.70 inference(unit_resolution,[status(thm)],[22229, 22219])).
% 49.76/32.70 tff(22231,plain,
% 49.76/32.70 (((~![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)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22232,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22233,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22232, 22231])).
% 49.76/32.71 tff(22234,plain,
% 49.76/32.71 (~v104(constB180)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22233, 330, 22222, 22096])).
% 49.76/32.71 tff(22235,plain,
% 49.76/32.71 (((~![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)) | v102(constB180) | v104(constB180))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22236,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22237,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22236, 22235])).
% 49.76/32.71 tff(22238,plain,
% 49.76/32.71 (v102(constB180) | v104(constB180)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22237, 344, 22222])).
% 49.76/32.71 tff(22239,plain,
% 49.76/32.71 (v102(constB180)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22238, 22234])).
% 49.76/32.71 tff(22240,plain,
% 49.76/32.71 (v1(constB180) <=> v1(constB180)),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22241,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 49.76/32.71 tff(22242,plain,
% 49.76/32.71 (v1(constB180)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22241, 22240])).
% 49.76/32.71 tff(22243,plain,
% 49.76/32.71 (((~![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)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22244,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22245,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22244, 22243])).
% 49.76/32.71 tff(22246,plain,
% 49.76/32.71 (v101(constB180) | (~v102(constB180))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22245, 362, 22222, 22242])).
% 49.76/32.71 tff(22247,plain,
% 49.76/32.71 (v101(constB180)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22246, 22239])).
% 49.76/32.71 tff(22248,plain,
% 49.76/32.71 (((~![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)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22249,plain,
% 49.76/32.71 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22250,plain,
% 49.76/32.71 (((~![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))))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22249])).
% 49.76/32.71 tff(22251,plain,
% 49.76/32.71 (((~![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)))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22250, 22248])).
% 49.76/32.71 tff(22252,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22253,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 49.76/32.71 tff(22254,plain,
% 49.76/32.71 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22253, 377, 22222])).
% 49.76/32.71 tff(22255,plain,
% 49.76/32.71 (v100(constB180) | (~v110(constB180))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22254, 22247])).
% 49.76/32.71 tff(22256,plain,
% 49.76/32.71 (v100(constB180)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22255, 22230])).
% 49.76/32.71 tff(22257,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB179)) | v130(constB179, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB179)) | v130(constB179, 2))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22258,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB179)) | v130(constB179, 2))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22259,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB179)) | v130(constB179, 2)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22258, 22257])).
% 49.76/32.71 tff(22260,plain,
% 49.76/32.71 (v130(constB179, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22259, 1729, 22189])).
% 49.76/32.71 tff(22261,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22262,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22263,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22262, 22261])).
% 49.76/32.71 tff(22264,plain,
% 49.76/32.71 ((~v130(constB179, 2)) | v127(constB179, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22263, 1328, 22204])).
% 49.76/32.71 tff(22265,plain,
% 49.76/32.71 (v127(constB179, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22264, 22260])).
% 49.76/32.71 tff(22266,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22267,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22268,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22267, 22266])).
% 49.76/32.71 tff(22269,plain,
% 49.76/32.71 ((~v127(constB179, 2)) | v129(constB180, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22268, 1343, 22222])).
% 49.76/32.71 tff(22270,plain,
% 49.76/32.71 (v129(constB180, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22269, 22265])).
% 49.76/32.71 tff(22271,plain,
% 49.76/32.71 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22272,plain,
% 49.76/32.71 ((v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2))) <=> (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22273,plain,
% 49.76/32.71 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180))))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22272])).
% 49.76/32.71 tff(22274,plain,
% 49.76/32.71 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22273, 22271])).
% 49.76/32.71 tff(22275,plain,
% 49.76/32.71 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22276,plain,
% 49.76/32.71 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22275, 22274])).
% 49.76/32.71 tff(22277,plain,
% 49.76/32.71 (v90(constB180, 2) | (~v100(constB180))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22276, 1358, 22270])).
% 49.76/32.71 tff(22278,plain,
% 49.76/32.71 (v90(constB180, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22277, 22256])).
% 49.76/32.71 tff(22279,plain,
% 49.76/32.71 ((~v1(constB181)) <=> (~v1(constB181))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22280,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 49.76/32.71 tff(22281,plain,
% 49.76/32.71 (~v1(constB181)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22280, 22279])).
% 49.76/32.71 tff(22282,plain,
% 49.76/32.71 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22283,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 49.76/32.71 tff(22284,plain,
% 49.76/32.71 (nextState(constB180, constB181)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22283, 22282])).
% 49.76/32.71 tff(22285,plain,
% 49.76/32.71 (((~![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)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22286,plain,
% 49.76/32.71 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22287,plain,
% 49.76/32.71 (((~![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))))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22286])).
% 49.76/32.71 tff(22288,plain,
% 49.76/32.71 (((~![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)))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22287, 22285])).
% 49.76/32.71 tff(22289,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22290,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22289, 22288])).
% 49.76/32.71 tff(22291,plain,
% 49.76/32.71 (~v101(constB181)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22290, 90, 22284, 22281])).
% 49.76/32.71 tff(22292,plain,
% 49.76/32.71 (((~![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)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22293,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22294,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22293, 22292])).
% 49.76/32.71 tff(22295,plain,
% 49.76/32.71 (v101(constB181) | (~v100(constB181))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22294, 107, 22284])).
% 49.76/32.71 tff(22296,plain,
% 49.76/32.71 (~v100(constB181)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22295, 22291])).
% 49.76/32.71 tff(22297,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22298,plain,
% 49.76/32.71 (((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2)) <=> ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22299,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2)))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22298])).
% 49.76/32.71 tff(22300,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22299, 22297])).
% 49.76/32.71 tff(22301,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22302,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 49.76/32.71 tff(22303,plain,
% 49.76/32.71 ((~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22302, 1394, 22284])).
% 49.76/32.71 tff(22304,plain,
% 49.76/32.71 ((~v90(constB180, 2)) | v90(constB181, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22303, 22296])).
% 49.76/32.71 tff(22305,plain,
% 49.76/32.71 (v90(constB181, 2)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22304, 22278])).
% 49.76/32.71 tff(22306,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB179)) | v130(constB179, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB179)) | v130(constB179, 1))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22307,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB179)) | v130(constB179, 1))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22308,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB179)) | v130(constB179, 1)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 49.76/32.71 tff(22309,plain,
% 49.76/32.71 (v130(constB179, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22308, 1871, 22189])).
% 49.76/32.71 tff(22310,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22311,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22312,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22311, 22310])).
% 49.76/32.71 tff(22313,plain,
% 49.76/32.71 ((~v130(constB179, 1)) | v127(constB179, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22312, 852, 22204])).
% 49.76/32.71 tff(22314,plain,
% 49.76/32.71 (v127(constB179, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22313, 22309])).
% 49.76/32.71 tff(22315,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22316,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22317,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 49.76/32.71 tff(22318,plain,
% 49.76/32.71 ((~v127(constB179, 1)) | v129(constB180, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22317, 867, 22222])).
% 49.76/32.71 tff(22319,plain,
% 49.76/32.71 (v129(constB180, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22318, 22314])).
% 49.76/32.71 tff(22320,plain,
% 49.76/32.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22321,plain,
% 49.76/32.71 ((v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1))) <=> (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22322,plain,
% 49.76/32.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180))))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22321])).
% 49.76/32.71 tff(22323,plain,
% 49.76/32.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22322, 22320])).
% 49.76/32.71 tff(22324,plain,
% 49.76/32.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22325,plain,
% 49.76/32.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 49.76/32.71 tff(22326,plain,
% 49.76/32.71 (v90(constB180, 1) | (~v100(constB180))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22325, 882, 22319])).
% 49.76/32.71 tff(22327,plain,
% 49.76/32.71 (v90(constB180, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22326, 22256])).
% 49.76/32.71 tff(22328,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22329,plain,
% 49.76/32.71 (((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1)) <=> ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22330,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1)))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22329])).
% 49.76/32.71 tff(22331,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22330, 22328])).
% 49.76/32.71 tff(22332,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22333,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 49.76/32.71 tff(22334,plain,
% 49.76/32.71 ((~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22333, 900, 22284])).
% 49.76/32.71 tff(22335,plain,
% 49.76/32.71 ((~v90(constB180, 1)) | v90(constB181, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22334, 22296])).
% 49.76/32.71 tff(22336,plain,
% 49.76/32.71 (v90(constB181, 1)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22335, 22327])).
% 49.76/32.71 tff(22337,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB179)) | (~v130(constB179, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB179)) | (~v130(constB179, 0)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22338,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB179)) | (~v130(constB179, 0)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22339,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB179)) | (~v130(constB179, 0))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22338, 22337])).
% 49.76/32.71 tff(22340,plain,
% 49.76/32.71 (~v130(constB179, 0)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22339, 1909, 22189])).
% 49.76/32.71 tff(22341,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22342,plain,
% 49.76/32.71 ((v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0))) <=> ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22343,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0)))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22342])).
% 49.76/32.71 tff(22344,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22343, 22341])).
% 49.76/32.71 tff(22345,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22346,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22345, 22344])).
% 49.76/32.71 tff(22347,plain,
% 49.76/32.71 ((~v127(constB179, 0)) | v130(constB179, 0)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22346, 930, 22204])).
% 49.76/32.71 tff(22348,plain,
% 49.76/32.71 (~v127(constB179, 0)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22347, 22340])).
% 49.76/32.71 tff(22349,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22350,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22351,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22350, 22349])).
% 49.76/32.71 tff(22352,plain,
% 49.76/32.71 (v127(constB179, 0) | (~v129(constB180, 0))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22351, 948, 22222])).
% 49.76/32.71 tff(22353,plain,
% 49.76/32.71 (~v129(constB180, 0)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22352, 22348])).
% 49.76/32.71 tff(22354,plain,
% 49.76/32.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22355,plain,
% 49.76/32.71 (((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0)) <=> ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22356,plain,
% 49.76/32.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180))))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22355])).
% 49.76/32.71 tff(22357,plain,
% 49.76/32.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22356, 22354])).
% 49.76/32.71 tff(22358,plain,
% 49.76/32.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22359,plain,
% 49.76/32.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22358, 22357])).
% 49.76/32.71 tff(22360,plain,
% 49.76/32.71 ((~v90(constB180, 0)) | (~v100(constB180))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22359, 963, 22353])).
% 49.76/32.71 tff(22361,plain,
% 49.76/32.71 (~v90(constB180, 0)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22360, 22256])).
% 49.76/32.71 tff(22362,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22363,plain,
% 49.76/32.71 (((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0))) <=> (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22364,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0))))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22363])).
% 49.76/32.71 tff(22365,plain,
% 49.76/32.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22364, 22362])).
% 49.76/32.71 tff(22366,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22367,plain,
% 49.76/32.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22366, 22365])).
% 49.76/32.71 tff(22368,plain,
% 49.76/32.71 (v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22367, 164, 22284])).
% 49.76/32.71 tff(22369,plain,
% 49.76/32.71 (v90(constB180, 0) | (~v90(constB181, 0))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22368, 22296])).
% 49.76/32.71 tff(22370,plain,
% 49.76/32.71 (~v90(constB181, 0)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22369, 22361])).
% 49.76/32.71 tff(22371,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22372,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22373,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 49.76/32.71 tff(22374,plain,
% 49.76/32.71 (v125(constB181)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22373, 1953, 22370, 22336, 22305])).
% 49.76/32.71 tff(22375,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB181)) | v113(constB181))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22376,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22377,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB181)) | v113(constB181)),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 49.76/32.71 tff(22378,plain,
% 49.76/32.71 (v113(constB181)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22377, 1964, 22374])).
% 49.76/32.71 tff(22379,assumption,(v26(constB181)), introduced(assumption)).
% 49.76/32.71 tff(22380,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22381,plain,
% 49.76/32.71 ($false),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22380, 43, 22379])).
% 49.76/32.71 tff(22382,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.71 tff(22383,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | v112(constB181) | (~v113(constB181)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22384,plain,
% 49.76/32.71 ((v26(constB181) | (~v113(constB181)) | v112(constB181)) <=> (v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22385,plain,
% 49.76/32.71 (((~![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) | v112(constB181) | (~v113(constB181))))),
% 49.76/32.71 inference(monotonicity,[status(thm)],[22384])).
% 49.76/32.71 tff(22386,plain,
% 49.76/32.71 (((~![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) | v112(constB181) | (~v113(constB181)))),
% 49.76/32.71 inference(transitivity,[status(thm)],[22385, 22383])).
% 49.76/32.71 tff(22387,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 49.76/32.71 inference(quant_inst,[status(thm)],[])).
% 49.76/32.71 tff(22388,plain,
% 49.76/32.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181))),
% 49.76/32.71 inference(modus_ponens,[status(thm)],[22387, 22386])).
% 49.76/32.71 tff(22389,plain,
% 49.76/32.71 (v112(constB181) | (~v113(constB181))),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22388, 280, 22382])).
% 49.76/32.71 tff(22390,plain,
% 49.76/32.71 (v112(constB181)),
% 49.76/32.71 inference(unit_resolution,[status(thm)],[22389, 22378])).
% 49.76/32.71 tff(22391,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22392,plain,
% 49.76/32.71 (((~v112(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v112(constB181)))),
% 49.76/32.71 inference(rewrite,[status(thm)],[])).
% 49.76/32.71 tff(22393,plain,
% 49.76/32.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22392])).
% 49.76/32.72 tff(22394,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22393, 22391])).
% 49.76/32.72 tff(22395,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22396,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22395, 22394])).
% 49.76/32.72 tff(22397,plain,
% 49.76/32.72 (v108(constB181)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22396, 292, 22390])).
% 49.76/32.72 tff(22398,plain,
% 49.76/32.72 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22399,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 49.76/32.72 tff(22400,plain,
% 49.76/32.72 (nextState(constB181, constB182)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 49.76/32.72 tff(22401,plain,
% 49.76/32.72 (((~![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)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22402,plain,
% 49.76/32.72 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22403,plain,
% 49.76/32.72 (((~![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))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22402])).
% 49.76/32.72 tff(22404,plain,
% 49.76/32.72 (((~![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)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22403, 22401])).
% 49.76/32.72 tff(22405,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22406,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22405, 22404])).
% 49.76/32.72 tff(22407,plain,
% 49.76/32.72 (v110(constB182) | (~v108(constB181))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22406, 312, 22400])).
% 49.76/32.72 tff(22408,plain,
% 49.76/32.72 (v110(constB182)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22407, 22397])).
% 49.76/32.72 tff(22409,plain,
% 49.76/32.72 (((~![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)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22410,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22411,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 49.76/32.72 tff(22412,plain,
% 49.76/32.72 (~v104(constB182)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22411, 330, 22400, 22281])).
% 49.76/32.72 tff(22413,plain,
% 49.76/32.72 (((~![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)) | v102(constB182) | v104(constB182))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22414,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22415,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22414, 22413])).
% 49.76/32.72 tff(22416,plain,
% 49.76/32.72 (v102(constB182) | v104(constB182)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22415, 344, 22400])).
% 49.76/32.72 tff(22417,plain,
% 49.76/32.72 (v102(constB182)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22416, 22412])).
% 49.76/32.72 tff(22418,plain,
% 49.76/32.72 (v1(constB182) <=> v1(constB182)),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22419,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 49.76/32.72 tff(22420,plain,
% 49.76/32.72 (v1(constB182)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22419, 22418])).
% 49.76/32.72 tff(22421,plain,
% 49.76/32.72 (((~![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)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22422,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22423,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 49.76/32.72 tff(22424,plain,
% 49.76/32.72 (v101(constB182) | (~v102(constB182))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22423, 362, 22400, 22420])).
% 49.76/32.72 tff(22425,plain,
% 49.76/32.72 (v101(constB182)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22424, 22417])).
% 49.76/32.72 tff(22426,plain,
% 49.76/32.72 (((~![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)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22427,plain,
% 49.76/32.72 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22428,plain,
% 49.76/32.72 (((~![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))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22427])).
% 49.76/32.72 tff(22429,plain,
% 49.76/32.72 (((~![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)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22428, 22426])).
% 49.76/32.72 tff(22430,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22431,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22430, 22429])).
% 49.76/32.72 tff(22432,plain,
% 49.76/32.72 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22431, 377, 22400])).
% 49.76/32.72 tff(22433,plain,
% 49.76/32.72 (v100(constB182) | (~v110(constB182))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22432, 22425])).
% 49.76/32.72 tff(22434,plain,
% 49.76/32.72 (v100(constB182)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22433, 22408])).
% 49.76/32.72 tff(22435,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB181)) | (~v90(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB181)) | (~v90(constB181, 2)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22436,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB181)) | (~v90(constB181, 2)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22437,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB181)) | (~v90(constB181, 2))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22436, 22435])).
% 49.76/32.72 tff(22438,plain,
% 49.76/32.72 (~v122(constB181)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22437, 2039, 22305])).
% 49.76/32.72 tff(22439,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22440,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22441,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB181)) | (~v90(constB181, 1))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22440, 22439])).
% 49.76/32.72 tff(22442,plain,
% 49.76/32.72 (~v119(constB181)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22441, 2050, 22336])).
% 49.76/32.72 tff(22443,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22444,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22445,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB181)) | (~v90(constB181, 1))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22444, 22443])).
% 49.76/32.72 tff(22446,plain,
% 49.76/32.72 (~v120(constB181)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22445, 2061, 22336])).
% 49.76/32.72 tff(22447,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22448,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22449,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB181)) | (~v90(constB181, 1))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22448, 22447])).
% 49.76/32.72 tff(22450,plain,
% 49.76/32.72 (~v123(constB181)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22449, 2072, 22336])).
% 49.76/32.72 tff(22451,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22452,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB181)) | (~v90(constB181, 1)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22453,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB181)) | (~v90(constB181, 1))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22452, 22451])).
% 49.76/32.72 tff(22454,plain,
% 49.76/32.72 (~v124(constB181)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22453, 2083, 22336])).
% 49.76/32.72 tff(22455,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB181)) | (~v90(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB181)) | (~v90(constB181, 2)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22456,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB181)) | (~v90(constB181, 2)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22457,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB181)) | (~v90(constB181, 2))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22456, 22455])).
% 49.76/32.72 tff(22458,plain,
% 49.76/32.72 (~v121(constB181)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22457, 2028, 22305])).
% 49.76/32.72 tff(22459,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22460,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22461,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22460, 22459])).
% 49.76/32.72 tff(22462,plain,
% 49.76/32.72 (~v130(constB181, 2)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22461, 2097, 22458, 22454, 22450, 22446, 22442, 22438])).
% 49.76/32.72 tff(22463,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22464,plain,
% 49.76/32.72 ((v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2))) <=> ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22465,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2)))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22464])).
% 49.76/32.72 tff(22466,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22465, 22463])).
% 49.76/32.72 tff(22467,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22468,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22467, 22466])).
% 49.76/32.72 tff(22469,plain,
% 49.76/32.72 ((~v127(constB181, 2)) | v130(constB181, 2)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22468, 593, 22382])).
% 49.76/32.72 tff(22470,plain,
% 49.76/32.72 (~v127(constB181, 2)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22469, 22462])).
% 49.76/32.72 tff(22471,plain,
% 49.76/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22472,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22473,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22472, 22471])).
% 49.76/32.72 tff(22474,plain,
% 49.76/32.72 (v127(constB181, 2) | (~v129(constB182, 2))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22473, 611, 22400])).
% 49.76/32.72 tff(22475,plain,
% 49.76/32.72 (~v129(constB182, 2)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22474, 22470])).
% 49.76/32.72 tff(22476,plain,
% 49.76/32.72 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22477,plain,
% 49.76/32.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22478,plain,
% 49.76/32.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22477, 22476])).
% 49.76/32.72 tff(22479,plain,
% 49.76/32.72 ((~v90(constB182, 2)) | (~v100(constB182))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22478, 626, 22475])).
% 49.76/32.72 tff(22480,plain,
% 49.76/32.72 (~v90(constB182, 2)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22479, 22434])).
% 49.76/32.72 tff(22481,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22482,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22483,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22482, 22481])).
% 49.76/32.72 tff(22484,plain,
% 49.76/32.72 (~v130(constB181, 1)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22483, 2156, 22458, 22454, 22450, 22446, 22442, 22438])).
% 49.76/32.72 tff(22485,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22486,plain,
% 49.76/32.72 ((v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1))) <=> ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22487,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1)))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22486])).
% 49.76/32.72 tff(22488,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22487, 22485])).
% 49.76/32.72 tff(22489,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22490,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22489, 22488])).
% 49.76/32.72 tff(22491,plain,
% 49.76/32.72 ((~v127(constB181, 1)) | v130(constB181, 1)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22490, 408, 22382])).
% 49.76/32.72 tff(22492,plain,
% 49.76/32.72 (~v127(constB181, 1)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22491, 22484])).
% 49.76/32.72 tff(22493,plain,
% 49.76/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22494,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22495,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22494, 22493])).
% 49.76/32.72 tff(22496,plain,
% 49.76/32.72 (v127(constB181, 1) | (~v129(constB182, 1))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22495, 438, 22400])).
% 49.76/32.72 tff(22497,plain,
% 49.76/32.72 (~v129(constB182, 1)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22496, 22492])).
% 49.76/32.72 tff(22498,plain,
% 49.76/32.72 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22499,plain,
% 49.76/32.72 (((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1)) <=> ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22500,plain,
% 49.76/32.72 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22499])).
% 49.76/32.72 tff(22501,plain,
% 49.76/32.72 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22500, 22498])).
% 49.76/32.72 tff(22502,plain,
% 49.76/32.72 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22503,plain,
% 49.76/32.72 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22502, 22501])).
% 49.76/32.72 tff(22504,plain,
% 49.76/32.72 ((~v90(constB182, 1)) | (~v100(constB182))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22503, 453, 22497])).
% 49.76/32.72 tff(22505,plain,
% 49.76/32.72 (~v90(constB182, 1)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22504, 22434])).
% 49.76/32.72 tff(22506,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22507,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22508,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22507, 22506])).
% 49.76/32.72 tff(22509,plain,
% 49.76/32.72 (v130(constB181, 0)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22508, 2200, 22458, 22454, 22450, 22446, 22442, 22438])).
% 49.76/32.72 tff(22510,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22511,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22512,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22511, 22510])).
% 49.76/32.72 tff(22513,plain,
% 49.76/32.72 ((~v130(constB181, 0)) | v127(constB181, 0)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22512, 515, 22382])).
% 49.76/32.72 tff(22514,plain,
% 49.76/32.72 (v127(constB181, 0)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22513, 22509])).
% 49.76/32.72 tff(22515,plain,
% 49.76/32.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22516,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22517,plain,
% 49.76/32.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22516, 22515])).
% 49.76/32.72 tff(22518,plain,
% 49.76/32.72 ((~v127(constB181, 0)) | v129(constB182, 0)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22517, 530, 22400])).
% 49.76/32.72 tff(22519,plain,
% 49.76/32.72 (v129(constB182, 0)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22518, 22514])).
% 49.76/32.72 tff(22520,plain,
% 49.76/32.72 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22521,plain,
% 49.76/32.72 ((v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0))) <=> (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22522,plain,
% 49.76/32.72 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22521])).
% 49.76/32.72 tff(22523,plain,
% 49.76/32.72 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22522, 22520])).
% 49.76/32.72 tff(22524,plain,
% 49.76/32.72 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22525,plain,
% 49.76/32.72 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 49.76/32.72 tff(22526,plain,
% 49.76/32.72 (v90(constB182, 0) | (~v100(constB182))),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22525, 545, 22519])).
% 49.76/32.72 tff(22527,plain,
% 49.76/32.72 (v90(constB182, 0)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22526, 22434])).
% 49.76/32.72 tff(22528,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB182, 0)) | v90(constB182, 1) | v90(constB182, 2) | v120(constB182))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB182, 0)) | v90(constB182, 1) | v90(constB182, 2) | v120(constB182))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22529,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB182, 0)) | v90(constB182, 1) | v90(constB182, 2) | v120(constB182))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22530,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB182, 0)) | v90(constB182, 1) | v90(constB182, 2) | v120(constB182)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22529, 22528])).
% 49.76/32.72 tff(22531,plain,
% 49.76/32.72 (v120(constB182)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22530, 651, 22527, 22505, 22480])).
% 49.76/32.72 tff(22532,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB182)) | (~v130(constB182, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB182)) | (~v130(constB182, 0)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22533,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB182)) | (~v130(constB182, 0)))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22534,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB182)) | (~v130(constB182, 0))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22533, 22532])).
% 49.76/32.72 tff(22535,plain,
% 49.76/32.72 (~v130(constB182, 0)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22534, 916, 22531])).
% 49.76/32.72 tff(22536,assumption,(~v114(constB183)), introduced(assumption)).
% 49.76/32.72 tff(22537,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22538,plain,
% 49.76/32.72 (((~v115(constB183)) | v114(constB183)) <=> (v114(constB183) | (~v115(constB183)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22539,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22538])).
% 49.76/32.72 tff(22540,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22539, 22537])).
% 49.76/32.72 tff(22541,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22542,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22541, 22540])).
% 49.76/32.72 tff(22543,plain,
% 49.76/32.72 (~v115(constB183)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22542, 252, 22536])).
% 49.76/32.72 tff(22544,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB183)) | v115(constB183))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22545,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22546,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB183)) | v115(constB183)),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 49.76/32.72 tff(22547,plain,
% 49.76/32.72 (~v116(constB183)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22546, 238, 22543])).
% 49.76/32.72 tff(22548,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22549,plain,
% 49.76/32.72 (((~v117(constB183)) | v116(constB183)) <=> (v116(constB183) | (~v117(constB183)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22550,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22549])).
% 49.76/32.72 tff(22551,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22550, 22548])).
% 49.76/32.72 tff(22552,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22553,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22552, 22551])).
% 49.76/32.72 tff(22554,plain,
% 49.76/32.72 (~v117(constB183)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22553, 224, 22547])).
% 49.76/32.72 tff(22555,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22556,plain,
% 49.76/32.72 (((~v118(constB183)) | v117(constB183)) <=> (v117(constB183) | (~v118(constB183)))),
% 49.76/32.72 inference(rewrite,[status(thm)],[])).
% 49.76/32.72 tff(22557,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183))))),
% 49.76/32.72 inference(monotonicity,[status(thm)],[22556])).
% 49.76/32.72 tff(22558,plain,
% 49.76/32.72 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 49.76/32.72 inference(transitivity,[status(thm)],[22557, 22555])).
% 49.76/32.72 tff(22559,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))),
% 49.76/32.72 inference(quant_inst,[status(thm)],[])).
% 49.76/32.72 tff(22560,plain,
% 49.76/32.72 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183))),
% 49.76/32.72 inference(modus_ponens,[status(thm)],[22559, 22558])).
% 49.76/32.72 tff(22561,plain,
% 49.76/32.72 (~v118(constB183)),
% 49.76/32.72 inference(unit_resolution,[status(thm)],[22560, 210, 22554])).
% 49.76/32.73 tff(22562,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v120(constB183)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183)))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22563,plain,
% 49.76/32.73 (((~v120(constB183)) | v118(constB183)) <=> (v118(constB183) | (~v120(constB183)))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22564,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v120(constB183))))),
% 49.76/32.73 inference(monotonicity,[status(thm)],[22563])).
% 49.76/32.73 tff(22565,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183)))),
% 49.76/32.73 inference(transitivity,[status(thm)],[22564, 22562])).
% 49.76/32.73 tff(22566,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))),
% 49.76/32.73 inference(quant_inst,[status(thm)],[])).
% 49.76/32.73 tff(22567,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183))),
% 49.76/32.73 inference(modus_ponens,[status(thm)],[22566, 22565])).
% 49.76/32.73 tff(22568,plain,
% 49.76/32.73 (~v120(constB183)),
% 49.76/32.73 inference(unit_resolution,[status(thm)],[22567, 665, 22561])).
% 49.76/32.73 tff(22569,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v119(constB183)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183)))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22570,plain,
% 49.76/32.73 (((~v119(constB183)) | v118(constB183)) <=> (v118(constB183) | (~v119(constB183)))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22571,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v119(constB183))))),
% 49.76/32.73 inference(monotonicity,[status(thm)],[22570])).
% 49.76/32.73 tff(22572,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183)))),
% 49.76/32.73 inference(transitivity,[status(thm)],[22571, 22569])).
% 49.76/32.73 tff(22573,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))),
% 49.76/32.73 inference(quant_inst,[status(thm)],[])).
% 49.76/32.73 tff(22574,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183))),
% 49.76/32.73 inference(modus_ponens,[status(thm)],[22573, 22572])).
% 49.76/32.73 tff(22575,plain,
% 49.76/32.73 (~v119(constB183)),
% 49.76/32.73 inference(unit_resolution,[status(thm)],[22574, 199, 22561])).
% 49.76/32.73 tff(22576,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v124(constB183)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v124(constB183)))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22577,plain,
% 49.76/32.73 (((~v124(constB183)) | v114(constB183)) <=> (v114(constB183) | (~v124(constB183)))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22578,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v124(constB183))))),
% 49.76/32.73 inference(monotonicity,[status(thm)],[22577])).
% 49.76/32.73 tff(22579,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v124(constB183)))),
% 49.76/32.73 inference(transitivity,[status(thm)],[22578, 22576])).
% 49.76/32.73 tff(22580,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB183)) | v114(constB183))),
% 49.76/32.73 inference(quant_inst,[status(thm)],[])).
% 49.76/32.73 tff(22581,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v124(constB183))),
% 49.76/32.73 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 49.76/32.73 tff(22582,plain,
% 49.76/32.73 (~v124(constB183)),
% 49.76/32.73 inference(unit_resolution,[status(thm)],[22581, 1775, 22536])).
% 49.76/32.73 tff(22583,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB183)) | v115(constB183))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22584,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB183)) | v115(constB183))),
% 49.76/32.73 inference(quant_inst,[status(thm)],[])).
% 49.76/32.73 tff(22585,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB183)) | v115(constB183)),
% 49.76/32.73 inference(modus_ponens,[status(thm)],[22584, 22583])).
% 49.76/32.73 tff(22586,plain,
% 49.76/32.73 (~v123(constB183)),
% 49.76/32.73 inference(unit_resolution,[status(thm)],[22585, 1506, 22543])).
% 49.76/32.73 tff(22587,assumption,(~v90(constB183, 1)), introduced(assumption)).
% 49.76/32.73 tff(22588,assumption,(~v120(constB183)), introduced(assumption)).
% 49.76/32.73 tff(22589,assumption,(~v119(constB183)), introduced(assumption)).
% 49.76/32.73 tff(22590,assumption,(~v90(constB183, 2)), introduced(assumption)).
% 49.76/32.73 tff(22591,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22592,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))),
% 49.76/32.73 inference(quant_inst,[status(thm)],[])).
% 49.76/32.73 tff(22593,plain,
% 49.76/32.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183)),
% 49.76/32.73 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 49.76/32.73 tff(22594,plain,
% 49.76/32.73 ((~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2)),
% 49.76/32.73 inference(unit_resolution,[status(thm)],[22593, 651, 22588])).
% 49.76/32.73 tff(22595,plain,
% 49.76/32.73 (~v90(constB183, 0)),
% 49.76/32.73 inference(unit_resolution,[status(thm)],[22594, 22590, 22587])).
% 49.76/32.73 tff(22596,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22597,plain,
% 49.76/32.73 ((v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2)) <=> (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 49.76/32.73 inference(rewrite,[status(thm)],[])).
% 49.76/32.73 tff(22598,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183)))),
% 49.76/32.73 inference(monotonicity,[status(thm)],[22597])).
% 49.76/32.73 tff(22599,plain,
% 49.76/32.73 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22598, 22596])).
% 49.81/32.73 tff(22600,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22601,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22600, 22599])).
% 49.81/32.73 tff(22602,plain,
% 49.81/32.73 (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22601, 185, 22589])).
% 49.81/32.73 tff(22603,plain,
% 49.81/32.73 ($false),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22602, 22595, 22590, 22587])).
% 49.81/32.73 tff(22604,plain,(v90(constB183, 2) | v90(constB183, 1) | v119(constB183) | v120(constB183)), inference(lemma,lemma(discharge,[]))).
% 49.81/32.73 tff(22605,plain,
% 49.81/32.73 (v90(constB183, 2)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22604, 22587, 22589, 22588])).
% 49.81/32.73 tff(22606,assumption,(~v124(constB183)), introduced(assumption)).
% 49.81/32.73 tff(22607,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | (~v90(constB183, 2)) | v124(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | (~v90(constB183, 2)) | v124(constB183))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22608,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | (~v90(constB183, 2)) | v124(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22609,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | (~v90(constB183, 2)) | v124(constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22608, 22607])).
% 49.81/32.73 tff(22610,plain,
% 49.81/32.73 ((~v90(constB183, 0)) | v90(constB183, 1) | (~v90(constB183, 2))),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22609, 1718, 22606])).
% 49.81/32.73 tff(22611,plain,
% 49.81/32.73 (~v90(constB183, 0)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22610, 22605, 22587])).
% 49.81/32.73 tff(22612,assumption,(~v123(constB183)), introduced(assumption)).
% 49.81/32.73 tff(22613,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2)) | v123(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2)) | v123(constB183))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22614,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2)) | v123(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22615,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2)) | v123(constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22614, 22613])).
% 49.81/32.73 tff(22616,plain,
% 49.81/32.73 (v90(constB183, 0) | v90(constB183, 1) | (~v90(constB183, 2))),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22615, 1495, 22612])).
% 49.81/32.73 tff(22617,plain,
% 49.81/32.73 ($false),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22616, 22611, 22605, 22587])).
% 49.81/32.73 tff(22618,plain,(v90(constB183, 1) | v123(constB183) | v124(constB183) | v119(constB183) | v120(constB183)), inference(lemma,lemma(discharge,[]))).
% 49.81/32.73 tff(22619,plain,
% 49.81/32.73 (v90(constB183, 1)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22618, 22586, 22582, 22575, 22568])).
% 49.81/32.73 tff(22620,plain,
% 49.81/32.73 ((~v1(constB183)) <=> (~v1(constB183))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22621,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 49.81/32.73 tff(22622,plain,
% 49.81/32.73 (~v1(constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22621, 22620])).
% 49.81/32.73 tff(22623,plain,
% 49.81/32.73 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22624,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 49.81/32.73 tff(22625,plain,
% 49.81/32.73 (nextState(constB182, constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22624, 22623])).
% 49.81/32.73 tff(22626,plain,
% 49.81/32.73 (((~![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)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22627,plain,
% 49.81/32.73 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22628,plain,
% 49.81/32.73 (((~![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))))),
% 49.81/32.73 inference(monotonicity,[status(thm)],[22627])).
% 49.81/32.73 tff(22629,plain,
% 49.81/32.73 (((~![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)))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22628, 22626])).
% 49.81/32.73 tff(22630,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22631,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 49.81/32.73 tff(22632,plain,
% 49.81/32.73 (~v101(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22631, 90, 22625, 22622])).
% 49.81/32.73 tff(22633,plain,
% 49.81/32.73 (((~![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)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22634,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22635,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 49.81/32.73 tff(22636,plain,
% 49.81/32.73 (v101(constB183) | (~v100(constB183))),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22635, 107, 22625])).
% 49.81/32.73 tff(22637,plain,
% 49.81/32.73 (~v100(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22636, 22632])).
% 49.81/32.73 tff(22638,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22639,plain,
% 49.81/32.73 (((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1))) <=> (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22640,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1))))),
% 49.81/32.73 inference(monotonicity,[status(thm)],[22639])).
% 49.81/32.73 tff(22641,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22640, 22638])).
% 49.81/32.73 tff(22642,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22643,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 49.81/32.73 tff(22644,plain,
% 49.81/32.73 (v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1))),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22643, 143, 22625])).
% 49.81/32.73 tff(22645,plain,
% 49.81/32.73 (v90(constB182, 1) | (~v90(constB183, 1))),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22644, 22637])).
% 49.81/32.73 tff(22646,plain,
% 49.81/32.73 (v90(constB182, 1)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22645, 22619])).
% 49.81/32.73 tff(22647,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB182)) | (~v90(constB182, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB182)) | (~v90(constB182, 1)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22648,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB182)) | (~v90(constB182, 1)))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22649,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB182)) | (~v90(constB182, 1))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 49.81/32.73 tff(22650,plain,
% 49.81/32.73 (~v124(constB182)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22649, 2083, 22646])).
% 49.81/32.73 tff(22651,assumption,(~v130(constB182, 0)), introduced(assumption)).
% 49.81/32.73 tff(22652,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB182)) | v130(constB182, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB182)) | v130(constB182, 0))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22653,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB182)) | v130(constB182, 0))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22654,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB182)) | v130(constB182, 0)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22653, 22652])).
% 49.81/32.73 tff(22655,plain,
% 49.81/32.73 (~v123(constB182)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22654, 1677, 22651])).
% 49.81/32.73 tff(22656,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB182)) | v130(constB182, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB182)) | v130(constB182, 0))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22657,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB182)) | v130(constB182, 0))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22658,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB182)) | v130(constB182, 0)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 49.81/32.73 tff(22659,plain,
% 49.81/32.73 (~v119(constB182)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22658, 501, 22651])).
% 49.81/32.73 tff(22660,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB182)) | v130(constB182, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB182)) | v130(constB182, 0))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22661,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB182)) | v130(constB182, 0))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22662,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB182)) | v130(constB182, 0)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22661, 22660])).
% 49.81/32.73 tff(22663,plain,
% 49.81/32.73 (~v121(constB182)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22662, 1184, 22651])).
% 49.81/32.73 tff(22664,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB182)) | (~v90(constB182, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB182)) | (~v90(constB182, 1)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22665,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB182)) | (~v90(constB182, 1)))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22666,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB182)) | (~v90(constB182, 1))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 49.81/32.73 tff(22667,plain,
% 49.81/32.73 (~v120(constB182)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22666, 2061, 22646])).
% 49.81/32.73 tff(22668,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB182) | v120(constB182) | v121(constB182) | v122(constB182) | v123(constB182) | v124(constB182) | v130(constB182, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB182) | v120(constB182) | v121(constB182) | v122(constB182) | v123(constB182) | v124(constB182) | v130(constB182, 0))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22669,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB182) | v120(constB182) | v121(constB182) | v122(constB182) | v123(constB182) | v124(constB182) | v130(constB182, 0))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22670,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB182) | v120(constB182) | v121(constB182) | v122(constB182) | v123(constB182) | v124(constB182) | v130(constB182, 0)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 49.81/32.73 tff(22671,plain,
% 49.81/32.73 (v119(constB182) | v120(constB182) | v121(constB182) | v122(constB182) | v123(constB182) | v124(constB182)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22670, 2200, 22651])).
% 49.81/32.73 tff(22672,plain,
% 49.81/32.73 (v122(constB182)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22671, 22667, 22663, 22659, 22655, 22650])).
% 49.81/32.73 tff(22673,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB182)) | (~v90(constB182, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB182)) | (~v90(constB182, 2)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22674,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB182)) | (~v90(constB182, 2)))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22675,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB182)) | (~v90(constB182, 2))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22674, 22673])).
% 49.81/32.73 tff(22676,plain,
% 49.81/32.73 (~v90(constB182, 2)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22675, 2039, 22672])).
% 49.81/32.73 tff(22677,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22678,plain,
% 49.81/32.73 (((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2))) <=> (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22679,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2))))),
% 49.81/32.73 inference(monotonicity,[status(thm)],[22678])).
% 49.81/32.73 tff(22680,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22679, 22677])).
% 49.81/32.73 tff(22681,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22682,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22681, 22680])).
% 49.81/32.73 tff(22683,plain,
% 49.81/32.73 (v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2))),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22682, 122, 22625])).
% 49.81/32.73 tff(22684,plain,
% 49.81/32.73 (v90(constB182, 2) | (~v90(constB183, 2))),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22683, 22637])).
% 49.81/32.73 tff(22685,plain,
% 49.81/32.73 (~v90(constB183, 2)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22684, 22676])).
% 49.81/32.73 tff(22686,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB182)) | v90(constB182, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB182)) | v90(constB182, 0))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22687,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB182)) | v90(constB182, 0))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22688,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB182)) | v90(constB182, 0)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22687, 22686])).
% 49.81/32.73 tff(22689,plain,
% 49.81/32.73 (v90(constB182, 0)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22688, 7927, 22672])).
% 49.81/32.73 tff(22690,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22691,plain,
% 49.81/32.73 (((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0)) <=> ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22692,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0)))),
% 49.81/32.73 inference(monotonicity,[status(thm)],[22691])).
% 49.81/32.73 tff(22693,plain,
% 49.81/32.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22692, 22690])).
% 49.81/32.73 tff(22694,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22695,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22694, 22693])).
% 49.81/32.73 tff(22696,plain,
% 49.81/32.73 ((~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22695, 563, 22625])).
% 49.81/32.73 tff(22697,plain,
% 49.81/32.73 ((~v90(constB182, 0)) | v90(constB183, 0)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22696, 22637])).
% 49.81/32.73 tff(22698,plain,
% 49.81/32.73 (v90(constB183, 0)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22697, 22689])).
% 49.81/32.73 tff(22699,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB183)) | v116(constB183))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22700,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB183)) | v116(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22701,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB183)) | v116(constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22700, 22699])).
% 49.81/32.73 tff(22702,plain,
% 49.81/32.73 (~v122(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22701, 1236, 22547])).
% 49.81/32.73 tff(22703,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22704,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22705,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 49.81/32.73 tff(22706,plain,
% 49.81/32.73 ((~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22705, 1225, 22702])).
% 49.81/32.73 tff(22707,plain,
% 49.81/32.73 ($false),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22706, 22698, 22685, 22619])).
% 49.81/32.73 tff(22708,plain,(v114(constB183) | v130(constB182, 0)), inference(lemma,lemma(discharge,[]))).
% 49.81/32.73 tff(22709,plain,
% 49.81/32.73 (v114(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22708, 22535])).
% 49.81/32.73 tff(22710,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22711,plain,
% 49.81/32.73 (((~v114(constB183)) | v113(constB183)) <=> (v113(constB183) | (~v114(constB183)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22712,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183))))),
% 49.81/32.73 inference(monotonicity,[status(thm)],[22711])).
% 49.81/32.73 tff(22713,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22712, 22710])).
% 49.81/32.73 tff(22714,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22715,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22714, 22713])).
% 49.81/32.73 tff(22716,plain,
% 49.81/32.73 (v113(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22715, 266, 22709])).
% 49.81/32.73 tff(22717,assumption,(v26(constB183)), introduced(assumption)).
% 49.81/32.73 tff(22718,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22719,plain,
% 49.81/32.73 ($false),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22718, 43, 22717])).
% 49.81/32.73 tff(22720,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 49.81/32.73 tff(22721,plain,
% 49.81/32.73 (((~![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))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22722,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22723,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 49.81/32.73 tff(22724,plain,
% 49.81/32.73 ((~v113(constB183)) | v112(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22723, 280, 22720])).
% 49.81/32.73 tff(22725,plain,
% 49.81/32.73 (v112(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22724, 22716])).
% 49.81/32.73 tff(22726,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22727,plain,
% 49.81/32.73 (((~v112(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v112(constB183)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22728,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183))))),
% 49.81/32.73 inference(monotonicity,[status(thm)],[22727])).
% 49.81/32.73 tff(22729,plain,
% 49.81/32.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22728, 22726])).
% 49.81/32.73 tff(22730,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))),
% 49.81/32.73 inference(quant_inst,[status(thm)],[])).
% 49.81/32.73 tff(22731,plain,
% 49.81/32.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183))),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22730, 22729])).
% 49.81/32.73 tff(22732,plain,
% 49.81/32.73 (v108(constB183)),
% 49.81/32.73 inference(unit_resolution,[status(thm)],[22731, 292, 22725])).
% 49.81/32.73 tff(22733,plain,
% 49.81/32.73 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22734,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 49.81/32.73 tff(22735,plain,
% 49.81/32.73 (nextState(constB183, constB184)),
% 49.81/32.73 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 49.81/32.73 tff(22736,plain,
% 49.81/32.73 (((~![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)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22737,plain,
% 49.81/32.73 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 49.81/32.73 inference(rewrite,[status(thm)],[])).
% 49.81/32.73 tff(22738,plain,
% 49.81/32.73 (((~![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))))),
% 49.81/32.73 inference(monotonicity,[status(thm)],[22737])).
% 49.81/32.73 tff(22739,plain,
% 49.81/32.73 (((~![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)))),
% 49.81/32.73 inference(transitivity,[status(thm)],[22738, 22736])).
% 49.81/32.73 tff(22740,plain,
% 49.81/32.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22741,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22740, 22739])).
% 49.81/32.74 tff(22742,plain,
% 49.81/32.74 (v110(constB184) | (~v108(constB183))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22741, 312, 22735])).
% 49.81/32.74 tff(22743,plain,
% 49.81/32.74 (v110(constB184)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22742, 22732])).
% 49.81/32.74 tff(22744,plain,
% 49.81/32.74 (((~![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)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22745,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22746,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22745, 22744])).
% 49.81/32.74 tff(22747,plain,
% 49.81/32.74 (~v104(constB184)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22746, 330, 22735, 22622])).
% 49.81/32.74 tff(22748,plain,
% 49.81/32.74 (((~![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)) | v102(constB184) | v104(constB184))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22749,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22750,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22749, 22748])).
% 49.81/32.74 tff(22751,plain,
% 49.81/32.74 (v102(constB184) | v104(constB184)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22750, 344, 22735])).
% 49.81/32.74 tff(22752,plain,
% 49.81/32.74 (v102(constB184)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22751, 22747])).
% 49.81/32.74 tff(22753,plain,
% 49.81/32.74 (v1(constB184) <=> v1(constB184)),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22754,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 49.81/32.74 tff(22755,plain,
% 49.81/32.74 (v1(constB184)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22754, 22753])).
% 49.81/32.74 tff(22756,plain,
% 49.81/32.74 (((~![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)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22757,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22758,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22757, 22756])).
% 49.81/32.74 tff(22759,plain,
% 49.81/32.74 (v101(constB184) | (~v102(constB184))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22758, 362, 22735, 22755])).
% 49.81/32.74 tff(22760,plain,
% 49.81/32.74 (v101(constB184)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22759, 22752])).
% 49.81/32.74 tff(22761,plain,
% 49.81/32.74 (((~![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)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22762,plain,
% 49.81/32.74 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22763,plain,
% 49.81/32.74 (((~![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))))),
% 49.81/32.74 inference(monotonicity,[status(thm)],[22762])).
% 49.81/32.74 tff(22764,plain,
% 49.81/32.74 (((~![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)))),
% 49.81/32.74 inference(transitivity,[status(thm)],[22763, 22761])).
% 49.81/32.74 tff(22765,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22766,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22765, 22764])).
% 49.81/32.74 tff(22767,plain,
% 49.81/32.74 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22766, 377, 22735])).
% 49.81/32.74 tff(22768,plain,
% 49.81/32.74 (v100(constB184) | (~v110(constB184))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22767, 22760])).
% 49.81/32.74 tff(22769,plain,
% 49.81/32.74 (v100(constB184)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22768, 22743])).
% 49.81/32.74 tff(22770,plain,
% 49.81/32.74 (~v90(constB183, 2)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22684, 22480])).
% 49.81/32.74 tff(22771,plain,
% 49.81/32.74 (~v90(constB183, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22645, 22505])).
% 49.81/32.74 tff(22772,plain,
% 49.81/32.74 (v90(constB183, 0)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22697, 22527])).
% 49.81/32.74 tff(22773,plain,
% 49.81/32.74 (v120(constB183)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22593, 651, 22772, 22771, 22770])).
% 49.81/32.74 tff(22774,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB183)) | (~v130(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB183)) | (~v130(constB183, 2)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22775,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB183)) | (~v130(constB183, 2)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22776,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB183)) | (~v130(constB183, 2))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22775, 22774])).
% 49.81/32.74 tff(22777,plain,
% 49.81/32.74 (~v130(constB183, 2)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22776, 767, 22773])).
% 49.81/32.74 tff(22778,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22779,plain,
% 49.81/32.74 ((v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2))) <=> ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22780,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2)))),
% 49.81/32.74 inference(monotonicity,[status(thm)],[22779])).
% 49.81/32.74 tff(22781,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 49.81/32.74 inference(transitivity,[status(thm)],[22780, 22778])).
% 49.81/32.74 tff(22782,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22783,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22782, 22781])).
% 49.81/32.74 tff(22784,plain,
% 49.81/32.74 ((~v127(constB183, 2)) | v130(constB183, 2)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22783, 593, 22720])).
% 49.81/32.74 tff(22785,plain,
% 49.81/32.74 (~v127(constB183, 2)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22784, 22777])).
% 49.81/32.74 tff(22786,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22787,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22788,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22787, 22786])).
% 49.81/32.74 tff(22789,plain,
% 49.81/32.74 (v127(constB183, 2) | (~v129(constB184, 2))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22788, 611, 22735])).
% 49.81/32.74 tff(22790,plain,
% 49.81/32.74 (~v129(constB184, 2)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22789, 22785])).
% 49.81/32.74 tff(22791,plain,
% 49.81/32.74 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22792,plain,
% 49.81/32.74 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22793,plain,
% 49.81/32.74 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 49.81/32.74 tff(22794,plain,
% 49.81/32.74 ((~v90(constB184, 2)) | (~v100(constB184))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22793, 626, 22790])).
% 49.81/32.74 tff(22795,plain,
% 49.81/32.74 (~v90(constB184, 2)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22794, 22769])).
% 49.81/32.74 tff(22796,plain,
% 49.81/32.74 ((~v1(constB185)) <=> (~v1(constB185))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22797,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 49.81/32.74 tff(22798,plain,
% 49.81/32.74 (~v1(constB185)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22797, 22796])).
% 49.81/32.74 tff(22799,plain,
% 49.81/32.74 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22800,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 49.81/32.74 tff(22801,plain,
% 49.81/32.74 (nextState(constB184, constB185)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 49.81/32.74 tff(22802,plain,
% 49.81/32.74 (((~![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)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22803,plain,
% 49.81/32.74 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22804,plain,
% 49.81/32.74 (((~![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))))),
% 49.81/32.74 inference(monotonicity,[status(thm)],[22803])).
% 49.81/32.74 tff(22805,plain,
% 49.81/32.74 (((~![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)))),
% 49.81/32.74 inference(transitivity,[status(thm)],[22804, 22802])).
% 49.81/32.74 tff(22806,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22807,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22806, 22805])).
% 49.81/32.74 tff(22808,plain,
% 49.81/32.74 (~v101(constB185)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22807, 90, 22801, 22798])).
% 49.81/32.74 tff(22809,plain,
% 49.81/32.74 (((~![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)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22810,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22811,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 49.81/32.74 tff(22812,plain,
% 49.81/32.74 (v101(constB185) | (~v100(constB185))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22811, 107, 22801])).
% 49.81/32.74 tff(22813,plain,
% 49.81/32.74 (~v100(constB185)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22812, 22808])).
% 49.81/32.74 tff(22814,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22815,plain,
% 49.81/32.74 (((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2))) <=> (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22816,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2))))),
% 49.81/32.74 inference(monotonicity,[status(thm)],[22815])).
% 49.81/32.74 tff(22817,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 49.81/32.74 inference(transitivity,[status(thm)],[22816, 22814])).
% 49.81/32.74 tff(22818,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22819,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 49.81/32.74 tff(22820,plain,
% 49.81/32.74 (v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22819, 122, 22801])).
% 49.81/32.74 tff(22821,plain,
% 49.81/32.74 (v90(constB184, 2) | (~v90(constB185, 2))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22820, 22813])).
% 49.81/32.74 tff(22822,plain,
% 49.81/32.74 (~v90(constB185, 2)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22821, 22795])).
% 49.81/32.74 tff(22823,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB183)) | v130(constB183, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB183)) | v130(constB183, 1))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22824,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB183)) | v130(constB183, 1))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22825,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB183)) | v130(constB183, 1)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22824, 22823])).
% 49.81/32.74 tff(22826,plain,
% 49.81/32.74 (v130(constB183, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22825, 838, 22773])).
% 49.81/32.74 tff(22827,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22828,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22829,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22828, 22827])).
% 49.81/32.74 tff(22830,plain,
% 49.81/32.74 ((~v130(constB183, 1)) | v127(constB183, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22829, 852, 22720])).
% 49.81/32.74 tff(22831,plain,
% 49.81/32.74 (v127(constB183, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22830, 22826])).
% 49.81/32.74 tff(22832,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22833,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22834,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 49.81/32.74 tff(22835,plain,
% 49.81/32.74 ((~v127(constB183, 1)) | v129(constB184, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22834, 867, 22735])).
% 49.81/32.74 tff(22836,plain,
% 49.81/32.74 (v129(constB184, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22835, 22831])).
% 49.81/32.74 tff(22837,plain,
% 49.81/32.74 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22838,plain,
% 49.81/32.74 ((v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1))) <=> (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22839,plain,
% 49.81/32.74 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184))))),
% 49.81/32.74 inference(monotonicity,[status(thm)],[22838])).
% 49.81/32.74 tff(22840,plain,
% 49.81/32.74 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 49.81/32.74 inference(transitivity,[status(thm)],[22839, 22837])).
% 49.81/32.74 tff(22841,plain,
% 49.81/32.74 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22842,plain,
% 49.81/32.74 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 49.81/32.74 tff(22843,plain,
% 49.81/32.74 (v90(constB184, 1) | (~v100(constB184))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22842, 882, 22836])).
% 49.81/32.74 tff(22844,plain,
% 49.81/32.74 (v90(constB184, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22843, 22769])).
% 49.81/32.74 tff(22845,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22846,plain,
% 49.81/32.74 (((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1)) <=> ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22847,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1)))),
% 49.81/32.74 inference(monotonicity,[status(thm)],[22846])).
% 49.81/32.74 tff(22848,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 49.81/32.74 inference(transitivity,[status(thm)],[22847, 22845])).
% 49.81/32.74 tff(22849,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22850,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22849, 22848])).
% 49.81/32.74 tff(22851,plain,
% 49.81/32.74 ((~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22850, 900, 22801])).
% 49.81/32.74 tff(22852,plain,
% 49.81/32.74 ((~v90(constB184, 1)) | v90(constB185, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22851, 22813])).
% 49.81/32.74 tff(22853,plain,
% 49.81/32.74 (v90(constB185, 1)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22852, 22844])).
% 49.81/32.74 tff(22854,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB183)) | (~v130(constB183, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB183)) | (~v130(constB183, 0)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22855,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB183)) | (~v130(constB183, 0)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22856,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB183)) | (~v130(constB183, 0))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22855, 22854])).
% 49.81/32.74 tff(22857,plain,
% 49.81/32.74 (~v130(constB183, 0)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22856, 916, 22773])).
% 49.81/32.74 tff(22858,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22859,plain,
% 49.81/32.74 ((v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0))) <=> ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22860,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0)))),
% 49.81/32.74 inference(monotonicity,[status(thm)],[22859])).
% 49.81/32.74 tff(22861,plain,
% 49.81/32.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 49.81/32.74 inference(transitivity,[status(thm)],[22860, 22858])).
% 49.81/32.74 tff(22862,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22863,plain,
% 49.81/32.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0)),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 49.81/32.74 tff(22864,plain,
% 49.81/32.74 ((~v127(constB183, 0)) | v130(constB183, 0)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22863, 930, 22720])).
% 49.81/32.74 tff(22865,plain,
% 49.81/32.74 (~v127(constB183, 0)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22864, 22857])).
% 49.81/32.74 tff(22866,plain,
% 49.81/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))),
% 49.81/32.74 inference(rewrite,[status(thm)],[])).
% 49.81/32.74 tff(22867,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))),
% 49.81/32.74 inference(quant_inst,[status(thm)],[])).
% 49.81/32.74 tff(22868,plain,
% 49.81/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0))),
% 49.81/32.74 inference(modus_ponens,[status(thm)],[22867, 22866])).
% 49.81/32.74 tff(22869,plain,
% 49.81/32.74 (v127(constB183, 0) | (~v129(constB184, 0))),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22868, 948, 22735])).
% 49.81/32.74 tff(22870,plain,
% 49.81/32.74 (~v129(constB184, 0)),
% 49.81/32.74 inference(unit_resolution,[status(thm)],[22869, 22865])).
% 49.81/32.74 tff(22871,plain,
% 49.81/32.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 49.82/32.74 inference(rewrite,[status(thm)],[])).
% 49.82/32.74 tff(22872,plain,
% 49.82/32.74 (((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0)) <=> ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 49.82/32.74 inference(rewrite,[status(thm)],[])).
% 49.82/32.74 tff(22873,plain,
% 49.82/32.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184))))),
% 49.82/32.74 inference(monotonicity,[status(thm)],[22872])).
% 49.82/32.74 tff(22874,plain,
% 49.82/32.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 49.82/32.74 inference(transitivity,[status(thm)],[22873, 22871])).
% 49.82/32.74 tff(22875,plain,
% 49.82/32.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))),
% 49.82/32.74 inference(quant_inst,[status(thm)],[])).
% 49.82/32.74 tff(22876,plain,
% 49.82/32.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184))),
% 49.82/32.74 inference(modus_ponens,[status(thm)],[22875, 22874])).
% 49.82/32.74 tff(22877,plain,
% 49.82/32.74 ((~v90(constB184, 0)) | (~v100(constB184))),
% 49.82/32.74 inference(unit_resolution,[status(thm)],[22876, 963, 22870])).
% 49.82/32.74 tff(22878,plain,
% 49.82/32.74 (~v90(constB184, 0)),
% 49.82/32.74 inference(unit_resolution,[status(thm)],[22877, 22769])).
% 49.82/32.74 tff(22879,plain,
% 49.82/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 49.82/32.74 inference(rewrite,[status(thm)],[])).
% 49.82/32.74 tff(22880,plain,
% 49.82/32.74 (((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0))) <=> (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 49.82/32.74 inference(rewrite,[status(thm)],[])).
% 49.82/32.74 tff(22881,plain,
% 49.82/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0))))),
% 49.82/32.74 inference(monotonicity,[status(thm)],[22880])).
% 49.82/32.74 tff(22882,plain,
% 49.82/32.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 49.82/32.74 inference(transitivity,[status(thm)],[22881, 22879])).
% 49.82/32.74 tff(22883,plain,
% 49.82/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))),
% 49.82/32.74 inference(quant_inst,[status(thm)],[])).
% 49.82/32.74 tff(22884,plain,
% 49.82/32.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 49.82/32.75 tff(22885,plain,
% 49.82/32.75 (v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22884, 164, 22801])).
% 49.82/32.75 tff(22886,plain,
% 49.82/32.75 (v90(constB184, 0) | (~v90(constB185, 0))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22885, 22813])).
% 49.82/32.75 tff(22887,plain,
% 49.82/32.75 (~v90(constB185, 0)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22886, 22878])).
% 49.82/32.75 tff(22888,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22889,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22890,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22889, 22888])).
% 49.82/32.75 tff(22891,plain,
% 49.82/32.75 (v121(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22890, 990, 22887, 22853, 22822])).
% 49.82/32.75 tff(22892,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB185)) | v117(constB185))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22893,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22894,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB185)) | v117(constB185)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22893, 22892])).
% 49.82/32.75 tff(22895,plain,
% 49.82/32.75 (v117(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22894, 1001, 22891])).
% 49.82/32.75 tff(22896,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22897,plain,
% 49.82/32.75 (((~v117(constB185)) | v116(constB185)) <=> (v116(constB185) | (~v117(constB185)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22898,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[22897])).
% 49.82/32.75 tff(22899,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[22898, 22896])).
% 49.82/32.75 tff(22900,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22901,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22900, 22899])).
% 49.82/32.75 tff(22902,plain,
% 49.82/32.75 (v116(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22901, 224, 22895])).
% 49.82/32.75 tff(22903,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22904,plain,
% 49.82/32.75 (((~v116(constB185)) | v115(constB185)) <=> (v115(constB185) | (~v116(constB185)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22905,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[22904])).
% 49.82/32.75 tff(22906,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[22905, 22903])).
% 49.82/32.75 tff(22907,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22908,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 49.82/32.75 tff(22909,plain,
% 49.82/32.75 (v115(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22908, 238, 22902])).
% 49.82/32.75 tff(22910,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB185)) | v114(constB185))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22911,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22912,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB185)) | v114(constB185)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22911, 22910])).
% 49.82/32.75 tff(22913,plain,
% 49.82/32.75 (v114(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22912, 252, 22909])).
% 49.82/32.75 tff(22914,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB185)) | v113(constB185))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22915,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22916,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB185)) | v113(constB185)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 49.82/32.75 tff(22917,plain,
% 49.82/32.75 (v113(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22916, 266, 22913])).
% 49.82/32.75 tff(22918,assumption,(v26(constB185)), introduced(assumption)).
% 49.82/32.75 tff(22919,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22920,plain,
% 49.82/32.75 ($false),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22919, 43, 22918])).
% 49.82/32.75 tff(22921,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 49.82/32.75 tff(22922,plain,
% 49.82/32.75 (((~![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) | (~v113(constB185)) | v112(constB185))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22923,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22924,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 49.82/32.75 tff(22925,plain,
% 49.82/32.75 ((~v113(constB185)) | v112(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22924, 280, 22921])).
% 49.82/32.75 tff(22926,plain,
% 49.82/32.75 (v112(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22925, 22917])).
% 49.82/32.75 tff(22927,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22928,plain,
% 49.82/32.75 (((~v112(constB185)) | v108(constB185)) <=> (v108(constB185) | (~v112(constB185)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22929,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[22928])).
% 49.82/32.75 tff(22930,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[22929, 22927])).
% 49.82/32.75 tff(22931,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22932,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 49.82/32.75 tff(22933,plain,
% 49.82/32.75 (v108(constB185)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22932, 292, 22926])).
% 49.82/32.75 tff(22934,plain,
% 49.82/32.75 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22935,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 49.82/32.75 tff(22936,plain,
% 49.82/32.75 (nextState(constB185, constB186)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22935, 22934])).
% 49.82/32.75 tff(22937,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22938,plain,
% 49.82/32.75 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22939,plain,
% 49.82/32.75 (((~![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))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[22938])).
% 49.82/32.75 tff(22940,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[22939, 22937])).
% 49.82/32.75 tff(22941,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22942,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22941, 22940])).
% 49.82/32.75 tff(22943,plain,
% 49.82/32.75 (v110(constB186) | (~v108(constB185))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22942, 312, 22936])).
% 49.82/32.75 tff(22944,plain,
% 49.82/32.75 (v110(constB186)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22943, 22933])).
% 49.82/32.75 tff(22945,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22946,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22947,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 49.82/32.75 tff(22948,plain,
% 49.82/32.75 (~v104(constB186)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22947, 330, 22936, 22798])).
% 49.82/32.75 tff(22949,plain,
% 49.82/32.75 (((~![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)) | v102(constB186) | v104(constB186))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22950,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22951,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22950, 22949])).
% 49.82/32.75 tff(22952,plain,
% 49.82/32.75 (v102(constB186) | v104(constB186)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22951, 344, 22936])).
% 49.82/32.75 tff(22953,plain,
% 49.82/32.75 (v102(constB186)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22952, 22948])).
% 49.82/32.75 tff(22954,plain,
% 49.82/32.75 (v1(constB186) <=> v1(constB186)),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22955,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 49.82/32.75 tff(22956,plain,
% 49.82/32.75 (v1(constB186)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22955, 22954])).
% 49.82/32.75 tff(22957,plain,
% 49.82/32.75 (((~![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)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22958,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22959,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22958, 22957])).
% 49.82/32.75 tff(22960,plain,
% 49.82/32.75 (v101(constB186) | (~v102(constB186))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22959, 362, 22936, 22956])).
% 49.82/32.75 tff(22961,plain,
% 49.82/32.75 (v101(constB186)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22960, 22953])).
% 49.82/32.75 tff(22962,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22963,plain,
% 49.82/32.75 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22964,plain,
% 49.82/32.75 (((~![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))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[22963])).
% 49.82/32.75 tff(22965,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[22964, 22962])).
% 49.82/32.75 tff(22966,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22967,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22966, 22965])).
% 49.82/32.75 tff(22968,plain,
% 49.82/32.75 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22967, 377, 22936])).
% 49.82/32.75 tff(22969,plain,
% 49.82/32.75 (v100(constB186) | (~v110(constB186))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22968, 22961])).
% 49.82/32.75 tff(22970,plain,
% 49.82/32.75 (v100(constB186)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22969, 22944])).
% 49.82/32.75 tff(22971,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB185)) | (~v130(constB185, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB185)) | (~v130(constB185, 2)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22972,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB185)) | (~v130(constB185, 2)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22973,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB185)) | (~v130(constB185, 2))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 49.82/32.75 tff(22974,plain,
% 49.82/32.75 (~v130(constB185, 2)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22973, 1090, 22891])).
% 49.82/32.75 tff(22975,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22976,plain,
% 49.82/32.75 ((v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2))) <=> ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22977,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2)))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[22976])).
% 49.82/32.75 tff(22978,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 49.82/32.75 inference(transitivity,[status(thm)],[22977, 22975])).
% 49.82/32.75 tff(22979,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22980,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22979, 22978])).
% 49.82/32.75 tff(22981,plain,
% 49.82/32.75 ((~v127(constB185, 2)) | v130(constB185, 2)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22980, 593, 22921])).
% 49.82/32.75 tff(22982,plain,
% 49.82/32.75 (~v127(constB185, 2)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22981, 22974])).
% 49.82/32.75 tff(22983,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22984,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22985,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 49.82/32.75 tff(22986,plain,
% 49.82/32.75 (v127(constB185, 2) | (~v129(constB186, 2))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22985, 611, 22936])).
% 49.82/32.75 tff(22987,plain,
% 49.82/32.75 (~v129(constB186, 2)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22986, 22982])).
% 49.82/32.75 tff(22988,plain,
% 49.82/32.75 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22989,plain,
% 49.82/32.75 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(22990,plain,
% 49.82/32.75 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22989, 22988])).
% 49.82/32.75 tff(22991,plain,
% 49.82/32.75 ((~v90(constB186, 2)) | (~v100(constB186))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22990, 626, 22987])).
% 49.82/32.75 tff(22992,plain,
% 49.82/32.75 (~v90(constB186, 2)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[22991, 22970])).
% 49.82/32.75 tff(22993,plain,
% 49.82/32.75 ((~v1(constB187)) <=> (~v1(constB187))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22994,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 49.82/32.75 tff(22995,plain,
% 49.82/32.75 (~v1(constB187)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22994, 22993])).
% 49.82/32.75 tff(22996,plain,
% 49.82/32.75 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(22997,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 49.82/32.75 tff(22998,plain,
% 49.82/32.75 (nextState(constB186, constB187)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[22997, 22996])).
% 49.82/32.75 tff(22999,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23000,plain,
% 49.82/32.75 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23001,plain,
% 49.82/32.75 (((~![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))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[23000])).
% 49.82/32.75 tff(23002,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[23001, 22999])).
% 49.82/32.75 tff(23003,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23004,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23003, 23002])).
% 49.82/32.75 tff(23005,plain,
% 49.82/32.75 (~v101(constB187)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23004, 90, 22998, 22995])).
% 49.82/32.75 tff(23006,plain,
% 49.82/32.75 (((~![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)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23007,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23008,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23007, 23006])).
% 49.82/32.75 tff(23009,plain,
% 49.82/32.75 (v101(constB187) | (~v100(constB187))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23008, 107, 22998])).
% 49.82/32.75 tff(23010,plain,
% 49.82/32.75 (~v100(constB187)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23009, 23005])).
% 49.82/32.75 tff(23011,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23012,plain,
% 49.82/32.75 (((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2))) <=> (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23013,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[23012])).
% 49.82/32.75 tff(23014,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[23013, 23011])).
% 49.82/32.75 tff(23015,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23016,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23015, 23014])).
% 49.82/32.75 tff(23017,plain,
% 49.82/32.75 (v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23016, 122, 22998])).
% 49.82/32.75 tff(23018,plain,
% 49.82/32.75 (v90(constB186, 2) | (~v90(constB187, 2))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23017, 23010])).
% 49.82/32.75 tff(23019,plain,
% 49.82/32.75 (~v90(constB187, 2)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23018, 22992])).
% 49.82/32.75 tff(23020,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB185)) | v130(constB185, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB185)) | v130(constB185, 1))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23021,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB185)) | v130(constB185, 1))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23022,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB185)) | v130(constB185, 1)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 49.82/32.75 tff(23023,plain,
% 49.82/32.75 (v130(constB185, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23022, 1146, 22891])).
% 49.82/32.75 tff(23024,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23025,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23026,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23025, 23024])).
% 49.82/32.75 tff(23027,plain,
% 49.82/32.75 ((~v130(constB185, 1)) | v127(constB185, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23026, 852, 22921])).
% 49.82/32.75 tff(23028,plain,
% 49.82/32.75 (v127(constB185, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23027, 23023])).
% 49.82/32.75 tff(23029,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23030,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23031,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23030, 23029])).
% 49.82/32.75 tff(23032,plain,
% 49.82/32.75 ((~v127(constB185, 1)) | v129(constB186, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23031, 867, 22936])).
% 49.82/32.75 tff(23033,plain,
% 49.82/32.75 (v129(constB186, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23032, 23028])).
% 49.82/32.75 tff(23034,plain,
% 49.82/32.75 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23035,plain,
% 49.82/32.75 ((v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1))) <=> (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23036,plain,
% 49.82/32.75 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186))))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[23035])).
% 49.82/32.75 tff(23037,plain,
% 49.82/32.75 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 49.82/32.75 inference(transitivity,[status(thm)],[23036, 23034])).
% 49.82/32.75 tff(23038,plain,
% 49.82/32.75 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23039,plain,
% 49.82/32.75 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186))),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23038, 23037])).
% 49.82/32.75 tff(23040,plain,
% 49.82/32.75 (v90(constB186, 1) | (~v100(constB186))),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23039, 882, 23033])).
% 49.82/32.75 tff(23041,plain,
% 49.82/32.75 (v90(constB186, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23040, 22970])).
% 49.82/32.75 tff(23042,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23043,plain,
% 49.82/32.75 (((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1)) <=> ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23044,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1)))),
% 49.82/32.75 inference(monotonicity,[status(thm)],[23043])).
% 49.82/32.75 tff(23045,plain,
% 49.82/32.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 49.82/32.75 inference(transitivity,[status(thm)],[23044, 23042])).
% 49.82/32.75 tff(23046,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23047,plain,
% 49.82/32.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 49.82/32.75 tff(23048,plain,
% 49.82/32.75 ((~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23047, 900, 22998])).
% 49.82/32.75 tff(23049,plain,
% 49.82/32.75 ((~v90(constB186, 1)) | v90(constB187, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23048, 23010])).
% 49.82/32.75 tff(23050,plain,
% 49.82/32.75 (v90(constB187, 1)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23049, 23041])).
% 49.82/32.75 tff(23051,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB185)) | v130(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB185)) | v130(constB185, 0))),
% 49.82/32.75 inference(rewrite,[status(thm)],[])).
% 49.82/32.75 tff(23052,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB185)) | v130(constB185, 0))),
% 49.82/32.75 inference(quant_inst,[status(thm)],[])).
% 49.82/32.75 tff(23053,plain,
% 49.82/32.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB185)) | v130(constB185, 0)),
% 49.82/32.75 inference(modus_ponens,[status(thm)],[23052, 23051])).
% 49.82/32.75 tff(23054,plain,
% 49.82/32.75 (v130(constB185, 0)),
% 49.82/32.75 inference(unit_resolution,[status(thm)],[23053, 1184, 22891])).
% 49.82/32.75 tff(23055,plain,
% 49.82/32.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23056,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23057,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23056, 23055])).
% 49.82/32.76 tff(23058,plain,
% 49.82/32.76 ((~v130(constB185, 0)) | v127(constB185, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23057, 515, 22921])).
% 49.82/32.76 tff(23059,plain,
% 49.82/32.76 (v127(constB185, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23058, 23054])).
% 49.82/32.76 tff(23060,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23061,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23062,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23061, 23060])).
% 49.82/32.76 tff(23063,plain,
% 49.82/32.76 ((~v127(constB185, 0)) | v129(constB186, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23062, 530, 22936])).
% 49.82/32.76 tff(23064,plain,
% 49.82/32.76 (v129(constB186, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23063, 23059])).
% 49.82/32.76 tff(23065,plain,
% 49.82/32.76 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23066,plain,
% 49.82/32.76 ((v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0))) <=> (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23067,plain,
% 49.82/32.76 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23066])).
% 49.82/32.76 tff(23068,plain,
% 49.82/32.76 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23067, 23065])).
% 49.82/32.76 tff(23069,plain,
% 49.82/32.76 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23070,plain,
% 49.82/32.76 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 49.82/32.76 tff(23071,plain,
% 49.82/32.76 (v90(constB186, 0) | (~v100(constB186))),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23070, 545, 23064])).
% 49.82/32.76 tff(23072,plain,
% 49.82/32.76 (v90(constB186, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23071, 22970])).
% 49.82/32.76 tff(23073,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23074,plain,
% 49.82/32.76 (((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0)) <=> ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23075,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0)))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23074])).
% 49.82/32.76 tff(23076,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23075, 23073])).
% 49.82/32.76 tff(23077,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23078,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 49.82/32.76 tff(23079,plain,
% 49.82/32.76 ((~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23078, 563, 22998])).
% 49.82/32.76 tff(23080,plain,
% 49.82/32.76 ((~v90(constB186, 0)) | v90(constB187, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23079, 23010])).
% 49.82/32.76 tff(23081,plain,
% 49.82/32.76 (v90(constB187, 0)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23080, 23072])).
% 49.82/32.76 tff(23082,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23083,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23084,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23083, 23082])).
% 49.82/32.76 tff(23085,plain,
% 49.82/32.76 (v122(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23084, 1225, 23081, 23050, 23019])).
% 49.82/32.76 tff(23086,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23087,plain,
% 49.82/32.76 (((~v122(constB187)) | v116(constB187)) <=> (v116(constB187) | (~v122(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23088,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v122(constB187))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23087])).
% 49.82/32.76 tff(23089,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23088, 23086])).
% 49.82/32.76 tff(23090,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23091,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23090, 23089])).
% 49.82/32.76 tff(23092,plain,
% 49.82/32.76 (v116(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23091, 1236, 23085])).
% 49.82/32.76 tff(23093,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23094,plain,
% 49.82/32.76 (((~v116(constB187)) | v115(constB187)) <=> (v115(constB187) | (~v116(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23095,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23094])).
% 49.82/32.76 tff(23096,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23095, 23093])).
% 49.82/32.76 tff(23097,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23098,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23097, 23096])).
% 49.82/32.76 tff(23099,plain,
% 49.82/32.76 (v115(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23098, 238, 23092])).
% 49.82/32.76 tff(23100,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23101,plain,
% 49.82/32.76 (((~v115(constB187)) | v114(constB187)) <=> (v114(constB187) | (~v115(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23102,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23101])).
% 49.82/32.76 tff(23103,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23102, 23100])).
% 49.82/32.76 tff(23104,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23105,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 49.82/32.76 tff(23106,plain,
% 49.82/32.76 (v114(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23105, 252, 23099])).
% 49.82/32.76 tff(23107,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23108,plain,
% 49.82/32.76 (((~v114(constB187)) | v113(constB187)) <=> (v113(constB187) | (~v114(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23109,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23108])).
% 49.82/32.76 tff(23110,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23109, 23107])).
% 49.82/32.76 tff(23111,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23112,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23111, 23110])).
% 49.82/32.76 tff(23113,plain,
% 49.82/32.76 (v113(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23112, 266, 23106])).
% 49.82/32.76 tff(23114,assumption,(~v108(constB187)), introduced(assumption)).
% 49.82/32.76 tff(23115,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23116,plain,
% 49.82/32.76 (((~v112(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v112(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23117,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23116])).
% 49.82/32.76 tff(23118,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23117, 23115])).
% 49.82/32.76 tff(23119,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23120,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23119, 23118])).
% 49.82/32.76 tff(23121,plain,
% 49.82/32.76 (~v112(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23120, 292, 23114])).
% 49.82/32.76 tff(23122,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v26(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23123,plain,
% 49.82/32.76 (((~v26(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v26(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23124,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v26(constB187))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23123])).
% 49.82/32.76 tff(23125,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v26(constB187)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23124, 23122])).
% 49.82/32.76 tff(23126,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB187)) | v108(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23127,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v26(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23126, 23125])).
% 49.82/32.76 tff(23128,plain,
% 49.82/32.76 (~v26(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23127, 1761, 23114])).
% 49.82/32.76 tff(23129,assumption,(v113(constB187)), introduced(assumption)).
% 49.82/32.76 tff(23130,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23131,plain,
% 49.82/32.76 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23132,plain,
% 49.82/32.76 (((~![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))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23131])).
% 49.82/32.76 tff(23133,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23132, 23130])).
% 49.82/32.76 tff(23134,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23135,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 49.82/32.76 tff(23136,plain,
% 49.82/32.76 (v26(constB187) | v112(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23135, 280, 23129])).
% 49.82/32.76 tff(23137,plain,
% 49.82/32.76 ($false),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23136, 23128, 23121])).
% 49.82/32.76 tff(23138,plain,(v108(constB187) | (~v113(constB187))), inference(lemma,lemma(discharge,[]))).
% 49.82/32.76 tff(23139,plain,
% 49.82/32.76 (v108(constB187)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23138, 23113])).
% 49.82/32.76 tff(23140,plain,
% 49.82/32.76 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23141,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 49.82/32.76 tff(23142,plain,
% 49.82/32.76 (nextState(constB187, constB188)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23141, 23140])).
% 49.82/32.76 tff(23143,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23144,plain,
% 49.82/32.76 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23145,plain,
% 49.82/32.76 (((~![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))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23144])).
% 49.82/32.76 tff(23146,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23145, 23143])).
% 49.82/32.76 tff(23147,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23148,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23147, 23146])).
% 49.82/32.76 tff(23149,plain,
% 49.82/32.76 (v110(constB188) | (~v108(constB187))),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23148, 312, 23142])).
% 49.82/32.76 tff(23150,plain,
% 49.82/32.76 (v110(constB188)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23149, 23139])).
% 49.82/32.76 tff(23151,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23152,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23153,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23152, 23151])).
% 49.82/32.76 tff(23154,plain,
% 49.82/32.76 (~v104(constB188)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23153, 330, 23142, 22995])).
% 49.82/32.76 tff(23155,plain,
% 49.82/32.76 (((~![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)) | v102(constB188) | v104(constB188))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23156,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23157,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23156, 23155])).
% 49.82/32.76 tff(23158,plain,
% 49.82/32.76 (v102(constB188) | v104(constB188)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23157, 344, 23142])).
% 49.82/32.76 tff(23159,plain,
% 49.82/32.76 (v102(constB188)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23158, 23154])).
% 49.82/32.76 tff(23160,plain,
% 49.82/32.76 (v1(constB188) <=> v1(constB188)),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23161,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 49.82/32.76 tff(23162,plain,
% 49.82/32.76 (v1(constB188)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23161, 23160])).
% 49.82/32.76 tff(23163,plain,
% 49.82/32.76 (((~![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)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23164,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23165,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23164, 23163])).
% 49.82/32.76 tff(23166,plain,
% 49.82/32.76 (v101(constB188) | (~v102(constB188))),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23165, 362, 23142, 23162])).
% 49.82/32.76 tff(23167,plain,
% 49.82/32.76 (v101(constB188)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23166, 23159])).
% 49.82/32.76 tff(23168,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23169,plain,
% 49.82/32.76 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23170,plain,
% 49.82/32.76 (((~![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))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23169])).
% 49.82/32.76 tff(23171,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23170, 23168])).
% 49.82/32.76 tff(23172,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23173,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23172, 23171])).
% 49.82/32.76 tff(23174,plain,
% 49.82/32.76 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23173, 377, 23142])).
% 49.82/32.76 tff(23175,plain,
% 49.82/32.76 (v100(constB188) | (~v110(constB188))),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23174, 23167])).
% 49.82/32.76 tff(23176,plain,
% 49.82/32.76 (v100(constB188)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23175, 23150])).
% 49.82/32.76 tff(23177,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB187)) | v130(constB187, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB187)) | v130(constB187, 2))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23178,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB187)) | v130(constB187, 2))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23179,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB187)) | v130(constB187, 2)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 49.82/32.76 tff(23180,plain,
% 49.82/32.76 (v130(constB187, 2)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23179, 1314, 23085])).
% 49.82/32.76 tff(23181,assumption,(v26(constB187)), introduced(assumption)).
% 49.82/32.76 tff(23182,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23183,plain,
% 49.82/32.76 ($false),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23182, 43, 23181])).
% 49.82/32.76 tff(23184,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 49.82/32.76 tff(23185,plain,
% 49.82/32.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23186,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23187,plain,
% 49.82/32.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 49.82/32.76 tff(23188,plain,
% 49.82/32.76 ((~v130(constB187, 2)) | v127(constB187, 2)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23187, 1328, 23184])).
% 49.82/32.76 tff(23189,plain,
% 49.82/32.76 (v127(constB187, 2)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23188, 23180])).
% 49.82/32.76 tff(23190,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23191,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23192,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23191, 23190])).
% 49.82/32.76 tff(23193,plain,
% 49.82/32.76 ((~v127(constB187, 2)) | v129(constB188, 2)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23192, 1343, 23142])).
% 49.82/32.76 tff(23194,plain,
% 49.82/32.76 (v129(constB188, 2)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23193, 23189])).
% 49.82/32.76 tff(23195,plain,
% 49.82/32.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23196,plain,
% 49.82/32.76 ((v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2))) <=> (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23197,plain,
% 49.82/32.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23196])).
% 49.82/32.76 tff(23198,plain,
% 49.82/32.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23197, 23195])).
% 49.82/32.76 tff(23199,plain,
% 49.82/32.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23200,plain,
% 49.82/32.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 49.82/32.76 tff(23201,plain,
% 49.82/32.76 (v90(constB188, 2) | (~v100(constB188))),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23200, 1358, 23194])).
% 49.82/32.76 tff(23202,plain,
% 49.82/32.76 (v90(constB188, 2)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23201, 23176])).
% 49.82/32.76 tff(23203,plain,
% 49.82/32.76 ((~v1(constB189)) <=> (~v1(constB189))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23204,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 49.82/32.76 tff(23205,plain,
% 49.82/32.76 (~v1(constB189)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23204, 23203])).
% 49.82/32.76 tff(23206,plain,
% 49.82/32.76 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23207,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 49.82/32.76 tff(23208,plain,
% 49.82/32.76 (nextState(constB188, constB189)),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 49.82/32.76 tff(23209,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23210,plain,
% 49.82/32.76 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23211,plain,
% 49.82/32.76 (((~![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))))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23210])).
% 49.82/32.76 tff(23212,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23211, 23209])).
% 49.82/32.76 tff(23213,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23214,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23213, 23212])).
% 49.82/32.76 tff(23215,plain,
% 49.82/32.76 (~v101(constB189)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23214, 90, 23208, 23205])).
% 49.82/32.76 tff(23216,plain,
% 49.82/32.76 (((~![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)))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23217,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23218,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 49.82/32.76 inference(modus_ponens,[status(thm)],[23217, 23216])).
% 49.82/32.76 tff(23219,plain,
% 49.82/32.76 (v101(constB189) | (~v100(constB189))),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23218, 107, 23208])).
% 49.82/32.76 tff(23220,plain,
% 49.82/32.76 (~v100(constB189)),
% 49.82/32.76 inference(unit_resolution,[status(thm)],[23219, 23215])).
% 49.82/32.76 tff(23221,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23222,plain,
% 49.82/32.76 (((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2)) <=> ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 49.82/32.76 inference(rewrite,[status(thm)],[])).
% 49.82/32.76 tff(23223,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2)))),
% 49.82/32.76 inference(monotonicity,[status(thm)],[23222])).
% 49.82/32.76 tff(23224,plain,
% 49.82/32.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 49.82/32.76 inference(transitivity,[status(thm)],[23223, 23221])).
% 49.82/32.76 tff(23225,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))),
% 49.82/32.76 inference(quant_inst,[status(thm)],[])).
% 49.82/32.76 tff(23226,plain,
% 49.82/32.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23225, 23224])).
% 49.82/32.77 tff(23227,plain,
% 49.82/32.77 ((~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23226, 1394, 23208])).
% 49.82/32.77 tff(23228,plain,
% 49.82/32.77 ((~v90(constB188, 2)) | v90(constB189, 2)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23227, 23220])).
% 49.82/32.77 tff(23229,plain,
% 49.82/32.77 (v90(constB189, 2)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23228, 23202])).
% 49.82/32.77 tff(23230,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB187)) | (~v130(constB187, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB187)) | (~v130(constB187, 1)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23231,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB187)) | (~v130(constB187, 1)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23232,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB187)) | (~v130(constB187, 1))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23231, 23230])).
% 49.82/32.77 tff(23233,plain,
% 49.82/32.77 (~v130(constB187, 1)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23232, 1410, 23085])).
% 49.82/32.77 tff(23234,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23235,plain,
% 49.82/32.77 ((v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1))) <=> ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23236,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1)))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23235])).
% 49.82/32.77 tff(23237,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23236, 23234])).
% 49.82/32.77 tff(23238,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23239,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 49.82/32.77 tff(23240,plain,
% 49.82/32.77 ((~v127(constB187, 1)) | v130(constB187, 1)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23239, 408, 23184])).
% 49.82/32.77 tff(23241,plain,
% 49.82/32.77 (~v127(constB187, 1)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23240, 23233])).
% 49.82/32.77 tff(23242,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23243,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23244,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23243, 23242])).
% 49.82/32.77 tff(23245,plain,
% 49.82/32.77 (v127(constB187, 1) | (~v129(constB188, 1))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23244, 438, 23142])).
% 49.82/32.77 tff(23246,plain,
% 49.82/32.77 (~v129(constB188, 1)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23245, 23241])).
% 49.82/32.77 tff(23247,plain,
% 49.82/32.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23248,plain,
% 49.82/32.77 (((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1)) <=> ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23249,plain,
% 49.82/32.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23248])).
% 49.82/32.77 tff(23250,plain,
% 49.82/32.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23249, 23247])).
% 49.82/32.77 tff(23251,plain,
% 49.82/32.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23252,plain,
% 49.82/32.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 49.82/32.77 tff(23253,plain,
% 49.82/32.77 ((~v90(constB188, 1)) | (~v100(constB188))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23252, 453, 23246])).
% 49.82/32.77 tff(23254,plain,
% 49.82/32.77 (~v90(constB188, 1)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23253, 23176])).
% 49.82/32.77 tff(23255,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23256,plain,
% 49.82/32.77 (((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1))) <=> (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23257,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23256])).
% 49.82/32.77 tff(23258,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23257, 23255])).
% 49.82/32.77 tff(23259,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23260,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23259, 23258])).
% 49.82/32.77 tff(23261,plain,
% 49.82/32.77 (v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23260, 143, 23208])).
% 49.82/32.77 tff(23262,plain,
% 49.82/32.77 (v90(constB188, 1) | (~v90(constB189, 1))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23261, 23220])).
% 49.82/32.77 tff(23263,plain,
% 49.82/32.77 (~v90(constB189, 1)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23262, 23254])).
% 49.82/32.77 tff(23264,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB187)) | (~v130(constB187, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB187)) | (~v130(constB187, 0)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23265,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB187)) | (~v130(constB187, 0)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23266,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB187)) | (~v130(constB187, 0))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 49.82/32.77 tff(23267,plain,
% 49.82/32.77 (~v130(constB187, 0)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23266, 1451, 23085])).
% 49.82/32.77 tff(23268,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23269,plain,
% 49.82/32.77 ((v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0))) <=> ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23270,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0)))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23269])).
% 49.82/32.77 tff(23271,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23270, 23268])).
% 49.82/32.77 tff(23272,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23273,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23272, 23271])).
% 49.82/32.77 tff(23274,plain,
% 49.82/32.77 ((~v127(constB187, 0)) | v130(constB187, 0)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23273, 930, 23184])).
% 49.82/32.77 tff(23275,plain,
% 49.82/32.77 (~v127(constB187, 0)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23274, 23267])).
% 49.82/32.77 tff(23276,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23277,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23278,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 49.82/32.77 tff(23279,plain,
% 49.82/32.77 (v127(constB187, 0) | (~v129(constB188, 0))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23278, 948, 23142])).
% 49.82/32.77 tff(23280,plain,
% 49.82/32.77 (~v129(constB188, 0)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23279, 23275])).
% 49.82/32.77 tff(23281,plain,
% 49.82/32.77 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23282,plain,
% 49.82/32.77 (((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0)) <=> ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23283,plain,
% 49.82/32.77 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23282])).
% 49.82/32.77 tff(23284,plain,
% 49.82/32.77 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23283, 23281])).
% 49.82/32.77 tff(23285,plain,
% 49.82/32.77 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23286,plain,
% 49.82/32.77 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 49.82/32.77 tff(23287,plain,
% 49.82/32.77 ((~v90(constB188, 0)) | (~v100(constB188))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23286, 963, 23280])).
% 49.82/32.77 tff(23288,plain,
% 49.82/32.77 (~v90(constB188, 0)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23287, 23176])).
% 49.82/32.77 tff(23289,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23290,plain,
% 49.82/32.77 (((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0))) <=> (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23291,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23290])).
% 49.82/32.77 tff(23292,plain,
% 49.82/32.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23291, 23289])).
% 49.82/32.77 tff(23293,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23294,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 49.82/32.77 tff(23295,plain,
% 49.82/32.77 (v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23294, 164, 23208])).
% 49.82/32.77 tff(23296,plain,
% 49.82/32.77 (v90(constB188, 0) | (~v90(constB189, 0))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23295, 23220])).
% 49.82/32.77 tff(23297,plain,
% 49.82/32.77 (~v90(constB189, 0)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23296, 23288])).
% 49.82/32.77 tff(23298,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23299,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23300,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23299, 23298])).
% 49.82/32.77 tff(23301,plain,
% 49.82/32.77 (v123(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23300, 1495, 23297, 23263, 23229])).
% 49.82/32.77 tff(23302,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB189)) | v115(constB189))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23303,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23304,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB189)) | v115(constB189)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23303, 23302])).
% 49.82/32.77 tff(23305,plain,
% 49.82/32.77 (v115(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23304, 1506, 23301])).
% 49.82/32.77 tff(23306,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23307,plain,
% 49.82/32.77 (((~v115(constB189)) | v114(constB189)) <=> (v114(constB189) | (~v115(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23308,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23307])).
% 49.82/32.77 tff(23309,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23308, 23306])).
% 49.82/32.77 tff(23310,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23311,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23310, 23309])).
% 49.82/32.77 tff(23312,plain,
% 49.82/32.77 (v114(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23311, 252, 23305])).
% 49.82/32.77 tff(23313,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23314,plain,
% 49.82/32.77 (((~v114(constB189)) | v113(constB189)) <=> (v113(constB189) | (~v114(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23315,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23314])).
% 49.82/32.77 tff(23316,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23315, 23313])).
% 49.82/32.77 tff(23317,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23318,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23317, 23316])).
% 49.82/32.77 tff(23319,plain,
% 49.82/32.77 (v113(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23318, 266, 23312])).
% 49.82/32.77 tff(23320,assumption,(~v108(constB189)), introduced(assumption)).
% 49.82/32.77 tff(23321,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23322,plain,
% 49.82/32.77 (((~v112(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v112(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23323,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23322])).
% 49.82/32.77 tff(23324,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23323, 23321])).
% 49.82/32.77 tff(23325,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23326,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23325, 23324])).
% 49.82/32.77 tff(23327,plain,
% 49.82/32.77 (~v112(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23326, 292, 23320])).
% 49.82/32.77 tff(23328,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v26(constB189)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v26(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23329,plain,
% 49.82/32.77 (((~v26(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v26(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23330,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v26(constB189))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23329])).
% 49.82/32.77 tff(23331,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v26(constB189)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23330, 23328])).
% 49.82/32.77 tff(23332,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB189)) | v108(constB189))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23333,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v26(constB189))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23332, 23331])).
% 49.82/32.77 tff(23334,plain,
% 49.82/32.77 (~v26(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23333, 1761, 23320])).
% 49.82/32.77 tff(23335,assumption,(v113(constB189)), introduced(assumption)).
% 49.82/32.77 tff(23336,plain,
% 49.82/32.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | v112(constB189) | (~v113(constB189)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23337,plain,
% 49.82/32.77 ((v26(constB189) | (~v113(constB189)) | v112(constB189)) <=> (v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23338,plain,
% 49.82/32.77 (((~![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) | v112(constB189) | (~v113(constB189))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23337])).
% 49.82/32.77 tff(23339,plain,
% 49.82/32.77 (((~![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) | v112(constB189) | (~v113(constB189)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23338, 23336])).
% 49.82/32.77 tff(23340,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23341,plain,
% 49.82/32.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23340, 23339])).
% 49.82/32.77 tff(23342,plain,
% 49.82/32.77 (v26(constB189) | v112(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23341, 280, 23335])).
% 49.82/32.77 tff(23343,plain,
% 49.82/32.77 ($false),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23342, 23334, 23327])).
% 49.82/32.77 tff(23344,plain,(v108(constB189) | (~v113(constB189))), inference(lemma,lemma(discharge,[]))).
% 49.82/32.77 tff(23345,plain,
% 49.82/32.77 (v108(constB189)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23344, 23319])).
% 49.82/32.77 tff(23346,plain,
% 49.82/32.77 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23347,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 49.82/32.77 tff(23348,plain,
% 49.82/32.77 (nextState(constB189, constB190)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23347, 23346])).
% 49.82/32.77 tff(23349,plain,
% 49.82/32.77 (((~![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)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23350,plain,
% 49.82/32.77 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23351,plain,
% 49.82/32.77 (((~![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))))),
% 49.82/32.77 inference(monotonicity,[status(thm)],[23350])).
% 49.82/32.77 tff(23352,plain,
% 49.82/32.77 (((~![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)))),
% 49.82/32.77 inference(transitivity,[status(thm)],[23351, 23349])).
% 49.82/32.77 tff(23353,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23354,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23353, 23352])).
% 49.82/32.77 tff(23355,plain,
% 49.82/32.77 (v110(constB190) | (~v108(constB189))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23354, 312, 23348])).
% 49.82/32.77 tff(23356,plain,
% 49.82/32.77 (v110(constB190)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23355, 23345])).
% 49.82/32.77 tff(23357,plain,
% 49.82/32.77 (((~![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)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23358,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23359,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23358, 23357])).
% 49.82/32.77 tff(23360,plain,
% 49.82/32.77 (~v104(constB190)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23359, 330, 23348, 23205])).
% 49.82/32.77 tff(23361,plain,
% 49.82/32.77 (((~![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)) | v102(constB190) | v104(constB190))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23362,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23363,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23362, 23361])).
% 49.82/32.77 tff(23364,plain,
% 49.82/32.77 (v102(constB190) | v104(constB190)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23363, 344, 23348])).
% 49.82/32.77 tff(23365,plain,
% 49.82/32.77 (v102(constB190)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23364, 23360])).
% 49.82/32.77 tff(23366,plain,
% 49.82/32.77 (v1(constB190) <=> v1(constB190)),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23367,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 49.82/32.77 tff(23368,plain,
% 49.82/32.77 (v1(constB190)),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23367, 23366])).
% 49.82/32.77 tff(23369,plain,
% 49.82/32.77 (((~![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)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23370,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 49.82/32.77 inference(quant_inst,[status(thm)],[])).
% 49.82/32.77 tff(23371,plain,
% 49.82/32.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 49.82/32.77 inference(modus_ponens,[status(thm)],[23370, 23369])).
% 49.82/32.77 tff(23372,plain,
% 49.82/32.77 (v101(constB190) | (~v102(constB190))),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23371, 362, 23348, 23368])).
% 49.82/32.77 tff(23373,plain,
% 49.82/32.77 (v101(constB190)),
% 49.82/32.77 inference(unit_resolution,[status(thm)],[23372, 23365])).
% 49.82/32.77 tff(23374,plain,
% 49.82/32.77 (((~![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)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23375,plain,
% 49.82/32.77 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 49.82/32.77 inference(rewrite,[status(thm)],[])).
% 49.82/32.77 tff(23376,plain,
% 49.82/32.77 (((~![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))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23375])).
% 49.82/32.78 tff(23377,plain,
% 49.82/32.78 (((~![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)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23376, 23374])).
% 49.82/32.78 tff(23378,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23379,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23378, 23377])).
% 49.82/32.78 tff(23380,plain,
% 49.82/32.78 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23379, 377, 23348])).
% 49.82/32.78 tff(23381,plain,
% 49.82/32.78 (v100(constB190) | (~v110(constB190))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23380, 23373])).
% 49.82/32.78 tff(23382,plain,
% 49.82/32.78 (v100(constB190)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23381, 23356])).
% 49.82/32.78 tff(23383,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB189)) | v130(constB189, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB189)) | v130(constB189, 2))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23384,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB189)) | v130(constB189, 2))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23385,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB189)) | v130(constB189, 2)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23384, 23383])).
% 49.82/32.78 tff(23386,plain,
% 49.82/32.78 (v130(constB189, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23385, 1580, 23301])).
% 49.82/32.78 tff(23387,assumption,(v26(constB189)), introduced(assumption)).
% 49.82/32.78 tff(23388,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23389,plain,
% 49.82/32.78 ($false),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23388, 43, 23387])).
% 49.82/32.78 tff(23390,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 49.82/32.78 tff(23391,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23392,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23393,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23392, 23391])).
% 49.82/32.78 tff(23394,plain,
% 49.82/32.78 ((~v130(constB189, 2)) | v127(constB189, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23393, 1328, 23390])).
% 49.82/32.78 tff(23395,plain,
% 49.82/32.78 (v127(constB189, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23394, 23386])).
% 49.82/32.78 tff(23396,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23397,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23398,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23397, 23396])).
% 49.82/32.78 tff(23399,plain,
% 49.82/32.78 ((~v127(constB189, 2)) | v129(constB190, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23398, 1343, 23348])).
% 49.82/32.78 tff(23400,plain,
% 49.82/32.78 (v129(constB190, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23399, 23395])).
% 49.82/32.78 tff(23401,plain,
% 49.82/32.78 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23402,plain,
% 49.82/32.78 ((v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2))) <=> (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23403,plain,
% 49.82/32.78 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23402])).
% 49.82/32.78 tff(23404,plain,
% 49.82/32.78 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23403, 23401])).
% 49.82/32.78 tff(23405,plain,
% 49.82/32.78 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23406,plain,
% 49.82/32.78 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 49.82/32.78 tff(23407,plain,
% 49.82/32.78 (v90(constB190, 2) | (~v100(constB190))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23406, 1358, 23400])).
% 49.82/32.78 tff(23408,plain,
% 49.82/32.78 (v90(constB190, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23407, 23382])).
% 49.82/32.78 tff(23409,plain,
% 49.82/32.78 ((~v1(constB191)) <=> (~v1(constB191))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23410,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 49.82/32.78 tff(23411,plain,
% 49.82/32.78 (~v1(constB191)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23410, 23409])).
% 49.82/32.78 tff(23412,plain,
% 49.82/32.78 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23413,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 49.82/32.78 tff(23414,plain,
% 49.82/32.78 (nextState(constB190, constB191)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23413, 23412])).
% 49.82/32.78 tff(23415,plain,
% 49.82/32.78 (((~![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)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23416,plain,
% 49.82/32.78 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23417,plain,
% 49.82/32.78 (((~![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))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23416])).
% 49.82/32.78 tff(23418,plain,
% 49.82/32.78 (((~![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)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23417, 23415])).
% 49.82/32.78 tff(23419,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23420,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23419, 23418])).
% 49.82/32.78 tff(23421,plain,
% 49.82/32.78 (~v101(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23420, 90, 23414, 23411])).
% 49.82/32.78 tff(23422,plain,
% 49.82/32.78 (((~![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)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23423,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23424,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23423, 23422])).
% 49.82/32.78 tff(23425,plain,
% 49.82/32.78 (v101(constB191) | (~v100(constB191))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23424, 107, 23414])).
% 49.82/32.78 tff(23426,plain,
% 49.82/32.78 (~v100(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23425, 23421])).
% 49.82/32.78 tff(23427,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23428,plain,
% 49.82/32.78 (((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2)) <=> ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23429,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2)))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23428])).
% 49.82/32.78 tff(23430,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23429, 23427])).
% 49.82/32.78 tff(23431,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23432,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23431, 23430])).
% 49.82/32.78 tff(23433,plain,
% 49.82/32.78 ((~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23432, 1394, 23414])).
% 49.82/32.78 tff(23434,plain,
% 49.82/32.78 ((~v90(constB190, 2)) | v90(constB191, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23433, 23426])).
% 49.82/32.78 tff(23435,plain,
% 49.82/32.78 (v90(constB191, 2)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23434, 23408])).
% 49.82/32.78 tff(23436,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB189)) | (~v130(constB189, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB189)) | (~v130(constB189, 1)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23437,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB189)) | (~v130(constB189, 1)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23438,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB189)) | (~v130(constB189, 1))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23437, 23436])).
% 49.82/32.78 tff(23439,plain,
% 49.82/32.78 (~v130(constB189, 1)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23438, 1636, 23301])).
% 49.82/32.78 tff(23440,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23441,plain,
% 49.82/32.78 ((v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1))) <=> ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23442,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1)))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23441])).
% 49.82/32.78 tff(23443,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23442, 23440])).
% 49.82/32.78 tff(23444,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23445,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23444, 23443])).
% 49.82/32.78 tff(23446,plain,
% 49.82/32.78 ((~v127(constB189, 1)) | v130(constB189, 1)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23445, 408, 23390])).
% 49.82/32.78 tff(23447,plain,
% 49.82/32.78 (~v127(constB189, 1)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23446, 23439])).
% 49.82/32.78 tff(23448,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23449,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23450,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23449, 23448])).
% 49.82/32.78 tff(23451,plain,
% 49.82/32.78 (v127(constB189, 1) | (~v129(constB190, 1))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23450, 438, 23348])).
% 49.82/32.78 tff(23452,plain,
% 49.82/32.78 (~v129(constB190, 1)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23451, 23447])).
% 49.82/32.78 tff(23453,plain,
% 49.82/32.78 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23454,plain,
% 49.82/32.78 (((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1)) <=> ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23455,plain,
% 49.82/32.78 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23454])).
% 49.82/32.78 tff(23456,plain,
% 49.82/32.78 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23455, 23453])).
% 49.82/32.78 tff(23457,plain,
% 49.82/32.78 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23458,plain,
% 49.82/32.78 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23457, 23456])).
% 49.82/32.78 tff(23459,plain,
% 49.82/32.78 ((~v90(constB190, 1)) | (~v100(constB190))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23458, 453, 23452])).
% 49.82/32.78 tff(23460,plain,
% 49.82/32.78 (~v90(constB190, 1)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23459, 23382])).
% 49.82/32.78 tff(23461,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23462,plain,
% 49.82/32.78 (((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1))) <=> (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23463,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23462])).
% 49.82/32.78 tff(23464,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23463, 23461])).
% 49.82/32.78 tff(23465,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23466,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23465, 23464])).
% 49.82/32.78 tff(23467,plain,
% 49.82/32.78 (v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23466, 143, 23414])).
% 49.82/32.78 tff(23468,plain,
% 49.82/32.78 (v90(constB190, 1) | (~v90(constB191, 1))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23467, 23426])).
% 49.82/32.78 tff(23469,plain,
% 49.82/32.78 (~v90(constB191, 1)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23468, 23460])).
% 49.82/32.78 tff(23470,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB189)) | v130(constB189, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB189)) | v130(constB189, 0))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23471,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB189)) | v130(constB189, 0))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23472,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB189)) | v130(constB189, 0)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23471, 23470])).
% 49.82/32.78 tff(23473,plain,
% 49.82/32.78 (v130(constB189, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23472, 1677, 23301])).
% 49.82/32.78 tff(23474,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23475,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23476,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23475, 23474])).
% 49.82/32.78 tff(23477,plain,
% 49.82/32.78 ((~v130(constB189, 0)) | v127(constB189, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23476, 515, 23390])).
% 49.82/32.78 tff(23478,plain,
% 49.82/32.78 (v127(constB189, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23477, 23473])).
% 49.82/32.78 tff(23479,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23480,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23481,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 49.82/32.78 tff(23482,plain,
% 49.82/32.78 ((~v127(constB189, 0)) | v129(constB190, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23481, 530, 23348])).
% 49.82/32.78 tff(23483,plain,
% 49.82/32.78 (v129(constB190, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23482, 23478])).
% 49.82/32.78 tff(23484,plain,
% 49.82/32.78 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23485,plain,
% 49.82/32.78 ((v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0))) <=> (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23486,plain,
% 49.82/32.78 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23485])).
% 49.82/32.78 tff(23487,plain,
% 49.82/32.78 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23486, 23484])).
% 49.82/32.78 tff(23488,plain,
% 49.82/32.78 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23489,plain,
% 49.82/32.78 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 49.82/32.78 tff(23490,plain,
% 49.82/32.78 (v90(constB190, 0) | (~v100(constB190))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23489, 545, 23483])).
% 49.82/32.78 tff(23491,plain,
% 49.82/32.78 (v90(constB190, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23490, 23382])).
% 49.82/32.78 tff(23492,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23493,plain,
% 49.82/32.78 (((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0)) <=> ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23494,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0)))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23493])).
% 49.82/32.78 tff(23495,plain,
% 49.82/32.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23494, 23492])).
% 49.82/32.78 tff(23496,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23497,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23496, 23495])).
% 49.82/32.78 tff(23498,plain,
% 49.82/32.78 ((~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23497, 563, 23414])).
% 49.82/32.78 tff(23499,plain,
% 49.82/32.78 ((~v90(constB190, 0)) | v90(constB191, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23498, 23426])).
% 49.82/32.78 tff(23500,plain,
% 49.82/32.78 (v90(constB191, 0)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23499, 23491])).
% 49.82/32.78 tff(23501,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23502,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23503,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23502, 23501])).
% 49.82/32.78 tff(23504,plain,
% 49.82/32.78 (v124(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23503, 1718, 23500, 23469, 23435])).
% 49.82/32.78 tff(23505,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB191)) | v114(constB191))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23506,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23507,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB191)) | v114(constB191)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23506, 23505])).
% 49.82/32.78 tff(23508,plain,
% 49.82/32.78 (v114(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23507, 1775, 23504])).
% 49.82/32.78 tff(23509,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23510,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23511,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23510, 23509])).
% 49.82/32.78 tff(23512,plain,
% 49.82/32.78 (v113(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23511, 266, 23508])).
% 49.82/32.78 tff(23513,assumption,(v26(constB191)), introduced(assumption)).
% 49.82/32.78 tff(23514,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23515,plain,
% 49.82/32.78 ($false),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23514, 43, 23513])).
% 49.82/32.78 tff(23516,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 49.82/32.78 tff(23517,plain,
% 49.82/32.78 (((~![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) | (~v113(constB191)) | v112(constB191))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23518,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23519,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23518, 23517])).
% 49.82/32.78 tff(23520,plain,
% 49.82/32.78 ((~v113(constB191)) | v112(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23519, 280, 23516])).
% 49.82/32.78 tff(23521,plain,
% 49.82/32.78 (v112(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23520, 23512])).
% 49.82/32.78 tff(23522,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23523,plain,
% 49.82/32.78 (((~v112(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v112(constB191)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23524,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23523])).
% 49.82/32.78 tff(23525,plain,
% 49.82/32.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23524, 23522])).
% 49.82/32.78 tff(23526,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23527,plain,
% 49.82/32.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23526, 23525])).
% 49.82/32.78 tff(23528,plain,
% 49.82/32.78 (v108(constB191)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23527, 292, 23521])).
% 49.82/32.78 tff(23529,plain,
% 49.82/32.78 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23530,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 49.82/32.78 tff(23531,plain,
% 49.82/32.78 (nextState(constB191, constB192)),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 49.82/32.78 tff(23532,plain,
% 49.82/32.78 (((~![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)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23533,plain,
% 49.82/32.78 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23534,plain,
% 49.82/32.78 (((~![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))))),
% 49.82/32.78 inference(monotonicity,[status(thm)],[23533])).
% 49.82/32.78 tff(23535,plain,
% 49.82/32.78 (((~![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)))),
% 49.82/32.78 inference(transitivity,[status(thm)],[23534, 23532])).
% 49.82/32.78 tff(23536,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23537,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23536, 23535])).
% 49.82/32.78 tff(23538,plain,
% 49.82/32.78 (v110(constB192) | (~v108(constB191))),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23537, 312, 23531])).
% 49.82/32.78 tff(23539,plain,
% 49.82/32.78 (v110(constB192)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23538, 23528])).
% 49.82/32.78 tff(23540,plain,
% 49.82/32.78 (((~![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)))),
% 49.82/32.78 inference(rewrite,[status(thm)],[])).
% 49.82/32.78 tff(23541,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 49.82/32.78 inference(quant_inst,[status(thm)],[])).
% 49.82/32.78 tff(23542,plain,
% 49.82/32.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 49.82/32.78 inference(modus_ponens,[status(thm)],[23541, 23540])).
% 49.82/32.78 tff(23543,plain,
% 49.82/32.78 (~v104(constB192)),
% 49.82/32.78 inference(unit_resolution,[status(thm)],[23542, 330, 23531, 23411])).
% 49.82/32.78 tff(23544,plain,
% 49.82/32.78 (((~![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)) | v102(constB192) | v104(constB192))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23545,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23546,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23545, 23544])).
% 49.82/32.79 tff(23547,plain,
% 49.82/32.79 (v102(constB192) | v104(constB192)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23546, 344, 23531])).
% 49.82/32.79 tff(23548,plain,
% 49.82/32.79 (v102(constB192)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23547, 23543])).
% 49.82/32.79 tff(23549,plain,
% 49.82/32.79 (v1(constB192) <=> v1(constB192)),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23550,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 49.82/32.79 tff(23551,plain,
% 49.82/32.79 (v1(constB192)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23550, 23549])).
% 49.82/32.79 tff(23552,plain,
% 49.82/32.79 (((~![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)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23553,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23554,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23553, 23552])).
% 49.82/32.79 tff(23555,plain,
% 49.82/32.79 (v101(constB192) | (~v102(constB192))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23554, 362, 23531, 23551])).
% 49.82/32.79 tff(23556,plain,
% 49.82/32.79 (v101(constB192)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23555, 23548])).
% 49.82/32.79 tff(23557,plain,
% 49.82/32.79 (((~![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)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23558,plain,
% 49.82/32.79 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23559,plain,
% 49.82/32.79 (((~![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))))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23558])).
% 49.82/32.79 tff(23560,plain,
% 49.82/32.79 (((~![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)))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23559, 23557])).
% 49.82/32.79 tff(23561,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23562,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23561, 23560])).
% 49.82/32.79 tff(23563,plain,
% 49.82/32.79 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23562, 377, 23531])).
% 49.82/32.79 tff(23564,plain,
% 49.82/32.79 (v100(constB192) | (~v110(constB192))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23563, 23556])).
% 49.82/32.79 tff(23565,plain,
% 49.82/32.79 (v100(constB192)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23564, 23539])).
% 49.82/32.79 tff(23566,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB191)) | (~v130(constB191, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB191)) | (~v130(constB191, 0)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23567,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB191)) | (~v130(constB191, 0)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23568,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB191)) | (~v130(constB191, 0))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23567, 23566])).
% 49.82/32.79 tff(23569,plain,
% 49.82/32.79 (~v130(constB191, 0)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23568, 1909, 23504])).
% 49.82/32.79 tff(23570,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23571,plain,
% 49.82/32.79 ((v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0))) <=> ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23572,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0)))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23571])).
% 49.82/32.79 tff(23573,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23572, 23570])).
% 49.82/32.79 tff(23574,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23575,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23574, 23573])).
% 49.82/32.79 tff(23576,plain,
% 49.82/32.79 ((~v127(constB191, 0)) | v130(constB191, 0)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23575, 930, 23516])).
% 49.82/32.79 tff(23577,plain,
% 49.82/32.79 (~v127(constB191, 0)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23576, 23569])).
% 49.82/32.79 tff(23578,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23579,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23580,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23579, 23578])).
% 49.82/32.79 tff(23581,plain,
% 49.82/32.79 (v127(constB191, 0) | (~v129(constB192, 0))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23580, 948, 23531])).
% 49.82/32.79 tff(23582,plain,
% 49.82/32.79 (~v129(constB192, 0)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23581, 23577])).
% 49.82/32.79 tff(23583,plain,
% 49.82/32.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23584,plain,
% 49.82/32.79 (((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0)) <=> ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23585,plain,
% 49.82/32.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192))))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23584])).
% 49.82/32.79 tff(23586,plain,
% 49.82/32.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23585, 23583])).
% 49.82/32.79 tff(23587,plain,
% 49.82/32.79 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23588,plain,
% 49.82/32.79 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23587, 23586])).
% 49.82/32.79 tff(23589,plain,
% 49.82/32.79 ((~v90(constB192, 0)) | (~v100(constB192))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23588, 963, 23582])).
% 49.82/32.79 tff(23590,plain,
% 49.82/32.79 (~v90(constB192, 0)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23589, 23565])).
% 49.82/32.79 tff(23591,plain,
% 49.82/32.79 ((~v1(constB193)) <=> (~v1(constB193))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23592,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 49.82/32.79 tff(23593,plain,
% 49.82/32.79 (~v1(constB193)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23592, 23591])).
% 49.82/32.79 tff(23594,plain,
% 49.82/32.79 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23595,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 49.82/32.79 tff(23596,plain,
% 49.82/32.79 (nextState(constB192, constB193)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23595, 23594])).
% 49.82/32.79 tff(23597,plain,
% 49.82/32.79 (((~![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)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23598,plain,
% 49.82/32.79 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23599,plain,
% 49.82/32.79 (((~![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))))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23598])).
% 49.82/32.79 tff(23600,plain,
% 49.82/32.79 (((~![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)))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23599, 23597])).
% 49.82/32.79 tff(23601,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23602,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23601, 23600])).
% 49.82/32.79 tff(23603,plain,
% 49.82/32.79 (~v101(constB193)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23602, 90, 23596, 23593])).
% 49.82/32.79 tff(23604,plain,
% 49.82/32.79 (((~![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)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23605,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23606,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23605, 23604])).
% 49.82/32.79 tff(23607,plain,
% 49.82/32.79 (v101(constB193) | (~v100(constB193))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23606, 107, 23596])).
% 49.82/32.79 tff(23608,plain,
% 49.82/32.79 (~v100(constB193)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23607, 23603])).
% 49.82/32.79 tff(23609,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23610,plain,
% 49.82/32.79 (((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0))) <=> (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23611,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0))))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23610])).
% 49.82/32.79 tff(23612,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23611, 23609])).
% 49.82/32.79 tff(23613,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23614,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23613, 23612])).
% 49.82/32.79 tff(23615,plain,
% 49.82/32.79 (v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23614, 164, 23596])).
% 49.82/32.79 tff(23616,plain,
% 49.82/32.79 (v90(constB192, 0) | (~v90(constB193, 0))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23615, 23608])).
% 49.82/32.79 tff(23617,plain,
% 49.82/32.79 (~v90(constB193, 0)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23616, 23590])).
% 49.82/32.79 tff(23618,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB193, 0)) | v90(constB193, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB193, 0)) | v90(constB193, 0))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23619,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB193, 0)) | v90(constB193, 0))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23620,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB193, 0)) | v90(constB193, 0)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23619, 23618])).
% 49.82/32.79 tff(23621,plain,
% 49.82/32.79 (~v88(constB193, 0)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23620, 14930, 23617])).
% 49.82/32.79 tff(23622,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB191)) | v130(constB191, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB191)) | v130(constB191, 2))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23623,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB191)) | v130(constB191, 2))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23624,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB191)) | v130(constB191, 2)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23623, 23622])).
% 49.82/32.79 tff(23625,plain,
% 49.82/32.79 (v130(constB191, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23624, 1729, 23504])).
% 49.82/32.79 tff(23626,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23627,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23628,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23627, 23626])).
% 49.82/32.79 tff(23629,plain,
% 49.82/32.79 ((~v130(constB191, 2)) | v127(constB191, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23628, 1328, 23516])).
% 49.82/32.79 tff(23630,plain,
% 49.82/32.79 (v127(constB191, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23629, 23625])).
% 49.82/32.79 tff(23631,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23632,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23633,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23632, 23631])).
% 49.82/32.79 tff(23634,plain,
% 49.82/32.79 ((~v127(constB191, 2)) | v129(constB192, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23633, 1343, 23531])).
% 49.82/32.79 tff(23635,plain,
% 49.82/32.79 (v129(constB192, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23634, 23630])).
% 49.82/32.79 tff(23636,plain,
% 49.82/32.79 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23637,plain,
% 49.82/32.79 ((v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2))) <=> (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23638,plain,
% 49.82/32.79 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192))))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23637])).
% 49.82/32.79 tff(23639,plain,
% 49.82/32.79 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23638, 23636])).
% 49.82/32.79 tff(23640,plain,
% 49.82/32.79 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23641,plain,
% 49.82/32.79 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23640, 23639])).
% 49.82/32.79 tff(23642,plain,
% 49.82/32.79 (v90(constB192, 2) | (~v100(constB192))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23641, 1358, 23635])).
% 49.82/32.79 tff(23643,plain,
% 49.82/32.79 (v90(constB192, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23642, 23565])).
% 49.82/32.79 tff(23644,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23645,plain,
% 49.82/32.79 (((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2)) <=> ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23646,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2)))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23645])).
% 49.82/32.79 tff(23647,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23646, 23644])).
% 49.82/32.79 tff(23648,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23649,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23648, 23647])).
% 49.82/32.79 tff(23650,plain,
% 49.82/32.79 ((~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23649, 1394, 23596])).
% 49.82/32.79 tff(23651,plain,
% 49.82/32.79 ((~v90(constB192, 2)) | v90(constB193, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23650, 23608])).
% 49.82/32.79 tff(23652,plain,
% 49.82/32.79 (v90(constB193, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23651, 23643])).
% 49.82/32.79 tff(23653,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB193, 2)) | v88(constB193, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB193, 2)) | v88(constB193, 2))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23654,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB193, 2)) | v88(constB193, 2))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23655,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB193, 2)) | v88(constB193, 2)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 49.82/32.79 tff(23656,plain,
% 49.82/32.79 (v88(constB193, 2)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23655, 14972, 23652])).
% 49.82/32.79 tff(23657,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB191)) | v130(constB191, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB191)) | v130(constB191, 1))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23658,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB191)) | v130(constB191, 1))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23659,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB191)) | v130(constB191, 1)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 49.82/32.79 tff(23660,plain,
% 49.82/32.79 (v130(constB191, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23659, 1871, 23504])).
% 49.82/32.79 tff(23661,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23662,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23663,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 49.82/32.79 tff(23664,plain,
% 49.82/32.79 ((~v130(constB191, 1)) | v127(constB191, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23663, 852, 23516])).
% 49.82/32.79 tff(23665,plain,
% 49.82/32.79 (v127(constB191, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23664, 23660])).
% 49.82/32.79 tff(23666,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23667,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23668,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23667, 23666])).
% 49.82/32.79 tff(23669,plain,
% 49.82/32.79 ((~v127(constB191, 1)) | v129(constB192, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23668, 867, 23531])).
% 49.82/32.79 tff(23670,plain,
% 49.82/32.79 (v129(constB192, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23669, 23665])).
% 49.82/32.79 tff(23671,plain,
% 49.82/32.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23672,plain,
% 49.82/32.79 ((v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1))) <=> (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23673,plain,
% 49.82/32.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192))))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23672])).
% 49.82/32.79 tff(23674,plain,
% 49.82/32.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23673, 23671])).
% 49.82/32.79 tff(23675,plain,
% 49.82/32.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23676,plain,
% 49.82/32.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192))),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23675, 23674])).
% 49.82/32.79 tff(23677,plain,
% 49.82/32.79 (v90(constB192, 1) | (~v100(constB192))),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23676, 882, 23670])).
% 49.82/32.79 tff(23678,plain,
% 49.82/32.79 (v90(constB192, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23677, 23565])).
% 49.82/32.79 tff(23679,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23680,plain,
% 49.82/32.79 (((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1)) <=> ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23681,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1)))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23680])).
% 49.82/32.79 tff(23682,plain,
% 49.82/32.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23681, 23679])).
% 49.82/32.79 tff(23683,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23684,plain,
% 49.82/32.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23683, 23682])).
% 49.82/32.79 tff(23685,plain,
% 49.82/32.79 ((~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23684, 900, 23596])).
% 49.82/32.79 tff(23686,plain,
% 49.82/32.79 ((~v90(constB192, 1)) | v90(constB193, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23685, 23608])).
% 49.82/32.79 tff(23687,plain,
% 49.82/32.79 (v90(constB193, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23686, 23678])).
% 49.82/32.79 tff(23688,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB193, 1)) | v88(constB193, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB193, 1)) | v88(constB193, 1))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23689,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB193, 1)) | v88(constB193, 1))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23690,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB193, 1)) | v88(constB193, 1)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23689, 23688])).
% 49.82/32.79 tff(23691,plain,
% 49.82/32.79 (v88(constB193, 1)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23690, 15014, 23687])).
% 49.82/32.79 tff(23692,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23693,plain,
% 49.82/32.79 (((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193)) <=> (v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23694,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193)))),
% 49.82/32.79 inference(monotonicity,[status(thm)],[23693])).
% 49.82/32.79 tff(23695,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))),
% 49.82/32.79 inference(transitivity,[status(thm)],[23694, 23692])).
% 49.82/32.79 tff(23696,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23697,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23696, 23695])).
% 49.82/32.79 tff(23698,plain,
% 49.82/32.79 (v144(constB193)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23697, 15028, 23691, 23656, 23621])).
% 49.82/32.79 tff(23699,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23700,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))),
% 49.82/32.79 inference(quant_inst,[status(thm)],[])).
% 49.82/32.79 tff(23701,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193)),
% 49.82/32.79 inference(modus_ponens,[status(thm)],[23700, 23699])).
% 49.82/32.79 tff(23702,plain,
% 49.82/32.79 (v142(constB193)),
% 49.82/32.79 inference(unit_resolution,[status(thm)],[23701, 15042, 23698])).
% 49.82/32.79 tff(23703,plain,
% 49.82/32.79 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB193)) | v198(constB193))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB193)) | v198(constB193))),
% 49.82/32.79 inference(rewrite,[status(thm)],[])).
% 49.82/32.79 tff(23704,plain,
% 49.82/32.79 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB193)) | v198(constB193))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23705,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB193)) | v198(constB193)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23704, 23703])).
% 49.82/32.80 tff(23706,plain,
% 49.82/32.80 (v198(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23705, 15053, 23702])).
% 49.82/32.80 tff(23707,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB193)) | (~v201(constB193)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB193)) | (~v201(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23708,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB193)) | (~v201(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23709,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB193)) | (~v201(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23708, 23707])).
% 49.82/32.80 tff(23710,plain,
% 49.82/32.80 (~v201(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23709, 15064, 23706])).
% 49.82/32.80 tff(23711,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB193) | (~v198(constB193)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB193) | (~v198(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23712,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB193) | (~v198(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23713,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB193) | (~v198(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23712, 23711])).
% 49.82/32.80 tff(23714,plain,
% 49.82/32.80 (v197(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23713, 15078, 23706])).
% 49.82/32.80 tff(23715,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB193) | v201(constB193) | (~v197(constB193)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB193) | v201(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23716,plain,
% 49.82/32.80 (((~v197(constB193)) | v201(constB193) | v227(constB193)) <=> (v227(constB193) | v201(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23717,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB193)) | v201(constB193) | v227(constB193))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB193) | v201(constB193) | (~v197(constB193))))),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23716])).
% 49.82/32.80 tff(23718,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB193)) | v201(constB193) | v227(constB193))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB193) | v201(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(transitivity,[status(thm)],[23717, 23715])).
% 49.82/32.80 tff(23719,plain,
% 49.82/32.80 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB193)) | v201(constB193) | v227(constB193))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23720,plain,
% 49.82/32.80 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB193) | v201(constB193) | (~v197(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 49.82/32.80 tff(23721,plain,
% 49.82/32.80 (v227(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23720, 15092, 23714, 23710])).
% 49.82/32.80 tff(23722,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB193)) | (~v223(constB193, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB193)) | (~v223(constB193, 0)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23723,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB193)) | (~v223(constB193, 0)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23724,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB193)) | (~v223(constB193, 0))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23723, 23722])).
% 49.82/32.80 tff(23725,plain,
% 49.82/32.80 (~v223(constB193, 0)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23724, 15109, 23721])).
% 49.82/32.80 tff(23726,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB193)) | v223(constB193, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB193)) | v223(constB193, 0))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23727,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB193)) | v223(constB193, 0))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23728,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB193)) | v223(constB193, 0)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23727, 23726])).
% 49.82/32.80 tff(23729,plain,
% 49.82/32.80 (~v222(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23728, 15120, 23725])).
% 49.82/32.80 tff(23730,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB193)) | (~v88(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB193)) | (~v88(constB193, 1)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23731,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB193)) | (~v88(constB193, 1)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23732,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB193)) | (~v88(constB193, 1))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23731, 23730])).
% 49.82/32.80 tff(23733,plain,
% 49.82/32.80 (~v139(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23732, 15131, 23691])).
% 49.82/32.80 tff(23734,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB193)) | (~v88(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB193)) | (~v88(constB193, 1)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23735,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB193)) | (~v88(constB193, 1)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23736,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB193)) | (~v88(constB193, 1))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23735, 23734])).
% 49.82/32.80 tff(23737,plain,
% 49.82/32.80 (~v140(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23736, 15142, 23691])).
% 49.82/32.80 tff(23738,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v200(constB193)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB193) | v140(constB193) | (~v200(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23739,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v200(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23740,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB193) | v140(constB193) | (~v200(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 49.82/32.80 tff(23741,plain,
% 49.82/32.80 (~v200(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23740, 15156, 23737, 23733])).
% 49.82/32.80 tff(23742,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB193)) | (~v88(constB193, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB193)) | (~v88(constB193, 2)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23743,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB193)) | (~v88(constB193, 2)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23744,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB193)) | (~v88(constB193, 2))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23743, 23742])).
% 49.82/32.80 tff(23745,plain,
% 49.82/32.80 (~v141(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23744, 15167, 23656])).
% 49.82/32.80 tff(23746,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB193) | v200(constB193) | (~v166(constB193)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB193) | v200(constB193) | (~v166(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23747,plain,
% 49.82/32.80 ((v141(constB193) | (~v166(constB193)) | v200(constB193)) <=> (v141(constB193) | v200(constB193) | (~v166(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23748,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB193) | (~v166(constB193)) | v200(constB193))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB193) | v200(constB193) | (~v166(constB193))))),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23747])).
% 49.82/32.80 tff(23749,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB193) | (~v166(constB193)) | v200(constB193))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB193) | v200(constB193) | (~v166(constB193)))),
% 49.82/32.80 inference(transitivity,[status(thm)],[23748, 23746])).
% 49.82/32.80 tff(23750,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB193) | (~v166(constB193)) | v200(constB193))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23751,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB193) | v200(constB193) | (~v166(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 49.82/32.80 tff(23752,plain,
% 49.82/32.80 (~v166(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23751, 15181, 23745, 23741])).
% 49.82/32.80 tff(23753,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB193) | v166(constB193) | (~v197(constB193)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB193) | v166(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23754,plain,
% 49.82/32.80 (((~v197(constB193)) | v166(constB193) | v241(constB193)) <=> (v241(constB193) | v166(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23755,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB193)) | v166(constB193) | v241(constB193))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB193) | v166(constB193) | (~v197(constB193))))),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23754])).
% 49.82/32.80 tff(23756,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB193)) | v166(constB193) | v241(constB193))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB193) | v166(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(transitivity,[status(thm)],[23755, 23753])).
% 49.82/32.80 tff(23757,plain,
% 49.82/32.80 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB193)) | v166(constB193) | v241(constB193))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23758,plain,
% 49.82/32.80 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB193) | v166(constB193) | (~v197(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23757, 23756])).
% 49.82/32.80 tff(23759,plain,
% 49.82/32.80 (v241(constB193) | (~v197(constB193))),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23758, 15198, 23752])).
% 49.82/32.80 tff(23760,plain,
% 49.82/32.80 (v241(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23759, 23714])).
% 49.82/32.80 tff(23761,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB193)) | (~v223(constB193, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB193)) | (~v223(constB193, 2)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23762,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB193)) | (~v223(constB193, 2)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23763,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB193)) | (~v223(constB193, 2))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 49.82/32.80 tff(23764,plain,
% 49.82/32.80 (~v223(constB193, 2)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23763, 15216, 23760])).
% 49.82/32.80 tff(23765,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB193)) | v223(constB193, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB193)) | v223(constB193, 2))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23766,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB193)) | v223(constB193, 2))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23767,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB193)) | v223(constB193, 2)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23766, 23765])).
% 49.82/32.80 tff(23768,plain,
% 49.82/32.80 (~v224(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23767, 15227, 23764])).
% 49.82/32.80 tff(23769,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB193) | v224(constB193) | (~v236(constB193)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB193) | v224(constB193) | (~v236(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23770,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB193) | v224(constB193) | (~v236(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23771,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB193) | v224(constB193) | (~v236(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23770, 23769])).
% 49.82/32.80 tff(23772,plain,
% 49.82/32.80 (~v236(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23771, 15241, 23768, 23729])).
% 49.82/32.80 tff(23773,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB193) | (~v232(constB193)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB193) | (~v232(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23774,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB193) | (~v232(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23775,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB193) | (~v232(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23774, 23773])).
% 49.82/32.80 tff(23776,plain,
% 49.82/32.80 (~v232(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23775, 15255, 23772])).
% 49.82/32.80 tff(23777,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v148(constB193)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB193) | v140(constB193) | (~v148(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23778,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v148(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23779,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB193) | v140(constB193) | (~v148(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23778, 23777])).
% 49.82/32.80 tff(23780,plain,
% 49.82/32.80 (~v148(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23779, 15269, 23737, 23733])).
% 49.82/32.80 tff(23781,plain,
% 49.82/32.80 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB193) | v252(constB193) | (~v197(constB193)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB193) | v252(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23782,plain,
% 49.82/32.80 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB193) | v252(constB193) | (~v197(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23783,plain,
% 49.82/32.80 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB193) | v252(constB193) | (~v197(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23782, 23781])).
% 49.82/32.80 tff(23784,plain,
% 49.82/32.80 (v252(constB193) | (~v197(constB193))),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23783, 15283, 23780])).
% 49.82/32.80 tff(23785,plain,
% 49.82/32.80 (v252(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23784, 23714])).
% 49.82/32.80 tff(23786,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB193)) | (~v223(constB193, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB193)) | (~v223(constB193, 3)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23787,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB193)) | (~v223(constB193, 3)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23788,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB193)) | (~v223(constB193, 3))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23787, 23786])).
% 49.82/32.80 tff(23789,plain,
% 49.82/32.80 (~v223(constB193, 3)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23788, 15298, 23785])).
% 49.82/32.80 tff(23790,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB193)) | v223(constB193, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB193)) | v223(constB193, 3))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23791,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB193)) | v223(constB193, 3))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23792,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB193)) | v223(constB193, 3)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23791, 23790])).
% 49.82/32.80 tff(23793,plain,
% 49.82/32.80 (~v237(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23792, 15309, 23789])).
% 49.82/32.80 tff(23794,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB193) | v237(constB193) | (~v248(constB193)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB193) | v237(constB193) | (~v248(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23795,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB193) | v237(constB193) | (~v248(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23796,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB193) | v237(constB193) | (~v248(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23795, 23794])).
% 49.82/32.80 tff(23797,plain,
% 49.82/32.80 (v232(constB193) | (~v248(constB193))),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23796, 15323, 23793])).
% 49.82/32.80 tff(23798,plain,
% 49.82/32.80 (~v248(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23797, 23776])).
% 49.82/32.80 tff(23799,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB193) | (~v244(constB193)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB193) | (~v244(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23800,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB193) | (~v244(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23801,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB193) | (~v244(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23800, 23799])).
% 49.82/32.80 tff(23802,plain,
% 49.82/32.80 (~v244(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23801, 15338, 23798])).
% 49.82/32.80 tff(23803,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB193) | (~v216(constB193, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB193) | (~v216(constB193, 1)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23804,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB193) | (~v216(constB193, 1)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23805,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB193) | (~v216(constB193, 1))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23804, 23803])).
% 49.82/32.80 tff(23806,plain,
% 49.82/32.80 (~v216(constB193, 1)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23805, 15352, 23802])).
% 49.82/32.80 tff(23807,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB193)) | v216(constB193, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB193)) | v216(constB193, 1))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23808,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB193)) | v216(constB193, 1))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23809,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB193)) | v216(constB193, 1)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23808, 23807])).
% 49.82/32.80 tff(23810,plain,
% 49.82/32.80 (~v254(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23809, 15363, 23806])).
% 49.82/32.80 tff(23811,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB193) | (~v221(constB193)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB193) | (~v221(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23812,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB193) | (~v221(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23813,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB193) | (~v221(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23812, 23811])).
% 49.82/32.80 tff(23814,plain,
% 49.82/32.80 (~v221(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23813, 15377, 23768])).
% 49.82/32.80 tff(23815,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB193) | (~v231(constB193)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB193) | (~v231(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23816,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB193) | (~v231(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23817,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB193) | (~v231(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23816, 23815])).
% 49.82/32.80 tff(23818,plain,
% 49.82/32.80 (~v231(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23817, 15391, 23793])).
% 49.82/32.80 tff(23819,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB193) | v231(constB193) | (~v243(constB193)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB193) | v231(constB193) | (~v243(constB193)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23820,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB193) | v231(constB193) | (~v243(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23821,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB193) | v231(constB193) | (~v243(constB193))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 49.82/32.80 tff(23822,plain,
% 49.82/32.80 (~v243(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23821, 15405, 23818, 23814])).
% 49.82/32.80 tff(23823,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB193) | v255(constB193))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB193) | v255(constB193))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23824,plain,
% 49.82/32.80 ((v255(constB193) | v243(constB193)) <=> (v243(constB193) | v255(constB193))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23825,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB193) | v243(constB193))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB193) | v255(constB193)))),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23824])).
% 49.82/32.80 tff(23826,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB193) | v243(constB193))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB193) | v255(constB193))),
% 49.82/32.80 inference(transitivity,[status(thm)],[23825, 23823])).
% 49.82/32.80 tff(23827,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB193) | v243(constB193))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23828,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB193) | v255(constB193)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23827, 23826])).
% 49.82/32.80 tff(23829,plain,
% 49.82/32.80 (v255(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23828, 15416, 23822])).
% 49.82/32.80 tff(23830,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB193)) | (~v216(constB193, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB193)) | (~v216(constB193, 2)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23831,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB193)) | (~v216(constB193, 2)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23832,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB193)) | (~v216(constB193, 2))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23831, 23830])).
% 49.82/32.80 tff(23833,plain,
% 49.82/32.80 (~v216(constB193, 2)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23832, 15433, 23829])).
% 49.82/32.80 tff(23834,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB193, 2) | (~v215(constB193)) | v254(constB193))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB193, 2) | (~v215(constB193)) | v254(constB193))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23835,plain,
% 49.82/32.80 ((v216(constB193, 2) | v254(constB193) | (~v215(constB193))) <=> (v216(constB193, 2) | (~v215(constB193)) | v254(constB193))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23836,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB193, 2) | v254(constB193) | (~v215(constB193)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB193, 2) | (~v215(constB193)) | v254(constB193)))),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23835])).
% 49.82/32.80 tff(23837,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB193, 2) | v254(constB193) | (~v215(constB193)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB193, 2) | (~v215(constB193)) | v254(constB193))),
% 49.82/32.80 inference(transitivity,[status(thm)],[23836, 23834])).
% 49.82/32.80 tff(23838,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB193, 2) | v254(constB193) | (~v215(constB193)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23839,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB193, 2) | (~v215(constB193)) | v254(constB193)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 49.82/32.80 tff(23840,plain,
% 49.82/32.80 ((~v215(constB193)) | v254(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23839, 15447, 23833])).
% 49.82/32.80 tff(23841,plain,
% 49.82/32.80 (~v215(constB193)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23840, 23810])).
% 49.82/32.80 tff(23842,plain,
% 49.82/32.80 ($false),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23841, 15458])).
% 49.82/32.80 tff(23843,plain,(~(constB193 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.82/32.80 tff(23844,assumption,(constB145 = sK_VarCurr), introduced(assumption)).
% 49.82/32.80 tff(23845,plain,
% 49.82/32.80 (v215(constB145) <=> v215(sK_VarCurr)),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23844])).
% 49.82/32.80 tff(23846,plain,
% 49.82/32.80 (v215(sK_VarCurr) <=> v215(constB145)),
% 49.82/32.80 inference(symmetry,[status(thm)],[23845])).
% 49.82/32.80 tff(23847,plain,
% 49.82/32.80 (v215(constB145)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[34, 23846])).
% 49.82/32.80 tff(23848,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB145, 0)) | v90(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB145, 0)) | v90(constB145, 0))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23849,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB145, 0)) | v90(constB145, 0))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23850,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB145, 0)) | v90(constB145, 0)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23849, 23848])).
% 49.82/32.80 tff(23851,plain,
% 49.82/32.80 (~v88(constB145, 0)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23850, 14930, 18599])).
% 49.82/32.80 tff(23852,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB145, 2)) | v88(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB145, 2)) | v88(constB145, 2))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23853,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB145, 2)) | v88(constB145, 2))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23854,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB145, 2)) | v88(constB145, 2)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23853, 23852])).
% 49.82/32.80 tff(23855,plain,
% 49.82/32.80 (v88(constB145, 2)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23854, 14972, 18534])).
% 49.82/32.80 tff(23856,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB145, 1)) | v88(constB145, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB145, 1)) | v88(constB145, 1))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23857,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB145, 1)) | v88(constB145, 1))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23858,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB145, 1)) | v88(constB145, 1)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23857, 23856])).
% 49.82/32.80 tff(23859,plain,
% 49.82/32.80 (v88(constB145, 1)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23858, 15014, 18565])).
% 49.82/32.80 tff(23860,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23861,plain,
% 49.82/32.80 (((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145)) <=> ((~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23862,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0)))),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23861])).
% 49.82/32.80 tff(23863,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))),
% 49.82/32.80 inference(transitivity,[status(thm)],[23862, 23860])).
% 49.82/32.80 tff(23864,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23865,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23864, 23863])).
% 49.82/32.80 tff(23866,plain,
% 49.82/32.80 (v144(constB145)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23865, 15028, 23859, 23855, 23851])).
% 49.82/32.80 tff(23867,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23868,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23869,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 49.82/32.80 tff(23870,plain,
% 49.82/32.80 (v142(constB145)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23869, 15042, 23866])).
% 49.82/32.80 tff(23871,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB145)) | v198(constB145))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB145)) | v198(constB145))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23872,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB145)) | v198(constB145))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23873,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB145)) | v198(constB145)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 49.82/32.80 tff(23874,plain,
% 49.82/32.80 (v198(constB145)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23873, 15053, 23870])).
% 49.82/32.80 tff(23875,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB145)) | (~v201(constB145)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB145)) | (~v201(constB145)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23876,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB145)) | (~v201(constB145)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23877,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB145)) | (~v201(constB145))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23876, 23875])).
% 49.82/32.80 tff(23878,plain,
% 49.82/32.80 (~v201(constB145)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23877, 15064, 23874])).
% 49.82/32.80 tff(23879,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB145) | (~v198(constB145)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB145) | (~v198(constB145)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23880,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB145) | (~v198(constB145)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23881,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB145) | (~v198(constB145))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 49.82/32.80 tff(23882,plain,
% 49.82/32.80 (v197(constB145)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23881, 15078, 23874])).
% 49.82/32.80 tff(23883,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB145) | (~v197(constB145)) | v201(constB145))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB145) | (~v197(constB145)) | v201(constB145))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23884,plain,
% 49.82/32.80 (((~v197(constB145)) | v201(constB145) | v227(constB145)) <=> (v227(constB145) | (~v197(constB145)) | v201(constB145))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23885,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB145)) | v201(constB145) | v227(constB145))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB145) | (~v197(constB145)) | v201(constB145)))),
% 49.82/32.80 inference(monotonicity,[status(thm)],[23884])).
% 49.82/32.80 tff(23886,plain,
% 49.82/32.80 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB145)) | v201(constB145) | v227(constB145))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB145) | (~v197(constB145)) | v201(constB145))),
% 49.82/32.80 inference(transitivity,[status(thm)],[23885, 23883])).
% 49.82/32.80 tff(23887,plain,
% 49.82/32.80 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB145)) | v201(constB145) | v227(constB145))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23888,plain,
% 49.82/32.80 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB145) | (~v197(constB145)) | v201(constB145)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23887, 23886])).
% 49.82/32.80 tff(23889,plain,
% 49.82/32.80 (v227(constB145)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23888, 15092, 23882, 23878])).
% 49.82/32.80 tff(23890,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB145)) | (~v223(constB145, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB145)) | (~v223(constB145, 0)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23891,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB145)) | (~v223(constB145, 0)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23892,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB145)) | (~v223(constB145, 0))),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23891, 23890])).
% 49.82/32.80 tff(23893,plain,
% 49.82/32.80 (~v223(constB145, 0)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23892, 15109, 23889])).
% 49.82/32.80 tff(23894,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB145)) | v223(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB145)) | v223(constB145, 0))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23895,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB145)) | v223(constB145, 0))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23896,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB145)) | v223(constB145, 0)),
% 49.82/32.80 inference(modus_ponens,[status(thm)],[23895, 23894])).
% 49.82/32.80 tff(23897,plain,
% 49.82/32.80 (~v222(constB145)),
% 49.82/32.80 inference(unit_resolution,[status(thm)],[23896, 15120, 23893])).
% 49.82/32.80 tff(23898,plain,
% 49.82/32.80 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB145)) | (~v88(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB145)) | (~v88(constB145, 1)))),
% 49.82/32.80 inference(rewrite,[status(thm)],[])).
% 49.82/32.80 tff(23899,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB145)) | (~v88(constB145, 1)))),
% 49.82/32.80 inference(quant_inst,[status(thm)],[])).
% 49.82/32.80 tff(23900,plain,
% 49.82/32.80 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB145)) | (~v88(constB145, 1))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23899, 23898])).
% 49.82/32.81 tff(23901,plain,
% 49.82/32.81 (~v139(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23900, 15131, 23859])).
% 49.82/32.81 tff(23902,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB145)) | (~v88(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB145)) | (~v88(constB145, 1)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23903,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB145)) | (~v88(constB145, 1)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23904,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB145)) | (~v88(constB145, 1))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23903, 23902])).
% 49.82/32.81 tff(23905,plain,
% 49.82/32.81 (~v140(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23904, 15142, 23859])).
% 49.82/32.81 tff(23906,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v200(constB145)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB145) | v140(constB145) | (~v200(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23907,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v200(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23908,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB145) | v140(constB145) | (~v200(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23907, 23906])).
% 49.82/32.81 tff(23909,plain,
% 49.82/32.81 (~v200(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23908, 15156, 23905, 23901])).
% 49.82/32.81 tff(23910,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB145)) | (~v88(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB145)) | (~v88(constB145, 2)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23911,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB145)) | (~v88(constB145, 2)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23912,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB145)) | (~v88(constB145, 2))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23911, 23910])).
% 49.82/32.81 tff(23913,plain,
% 49.82/32.81 (~v141(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23912, 15167, 23855])).
% 49.82/32.81 tff(23914,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB145) | v200(constB145) | (~v166(constB145)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB145) | v200(constB145) | (~v166(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23915,plain,
% 49.82/32.81 ((v141(constB145) | (~v166(constB145)) | v200(constB145)) <=> (v141(constB145) | v200(constB145) | (~v166(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23916,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB145) | (~v166(constB145)) | v200(constB145))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB145) | v200(constB145) | (~v166(constB145))))),
% 49.82/32.81 inference(monotonicity,[status(thm)],[23915])).
% 49.82/32.81 tff(23917,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB145) | (~v166(constB145)) | v200(constB145))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB145) | v200(constB145) | (~v166(constB145)))),
% 49.82/32.81 inference(transitivity,[status(thm)],[23916, 23914])).
% 49.82/32.81 tff(23918,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB145) | (~v166(constB145)) | v200(constB145))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23919,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB145) | v200(constB145) | (~v166(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23918, 23917])).
% 49.82/32.81 tff(23920,plain,
% 49.82/32.81 (~v166(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23919, 15181, 23913, 23909])).
% 49.82/32.81 tff(23921,plain,
% 49.82/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB145) | (~v197(constB145)) | v166(constB145))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB145) | (~v197(constB145)) | v166(constB145))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23922,plain,
% 49.82/32.81 (((~v197(constB145)) | v166(constB145) | v241(constB145)) <=> (v241(constB145) | (~v197(constB145)) | v166(constB145))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23923,plain,
% 49.82/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB145)) | v166(constB145) | v241(constB145))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB145) | (~v197(constB145)) | v166(constB145)))),
% 49.82/32.81 inference(monotonicity,[status(thm)],[23922])).
% 49.82/32.81 tff(23924,plain,
% 49.82/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB145)) | v166(constB145) | v241(constB145))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB145) | (~v197(constB145)) | v166(constB145))),
% 49.82/32.81 inference(transitivity,[status(thm)],[23923, 23921])).
% 49.82/32.81 tff(23925,plain,
% 49.82/32.81 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB145)) | v166(constB145) | v241(constB145))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23926,plain,
% 49.82/32.81 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB145) | (~v197(constB145)) | v166(constB145)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 49.82/32.81 tff(23927,plain,
% 49.82/32.81 (v241(constB145) | (~v197(constB145))),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23926, 15198, 23920])).
% 49.82/32.81 tff(23928,plain,
% 49.82/32.81 (v241(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23927, 23882])).
% 49.82/32.81 tff(23929,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB145)) | (~v223(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB145)) | (~v223(constB145, 2)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23930,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB145)) | (~v223(constB145, 2)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23931,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB145)) | (~v223(constB145, 2))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23930, 23929])).
% 49.82/32.81 tff(23932,plain,
% 49.82/32.81 (~v223(constB145, 2)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23931, 15216, 23928])).
% 49.82/32.81 tff(23933,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB145)) | v223(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB145)) | v223(constB145, 2))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23934,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB145)) | v223(constB145, 2))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23935,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB145)) | v223(constB145, 2)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23934, 23933])).
% 49.82/32.81 tff(23936,plain,
% 49.82/32.81 (~v224(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23935, 15227, 23932])).
% 49.82/32.81 tff(23937,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB145) | v224(constB145) | (~v236(constB145)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB145) | v224(constB145) | (~v236(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23938,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB145) | v224(constB145) | (~v236(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23939,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB145) | v224(constB145) | (~v236(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23938, 23937])).
% 49.82/32.81 tff(23940,plain,
% 49.82/32.81 (~v236(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23939, 15241, 23936, 23897])).
% 49.82/32.81 tff(23941,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB145) | (~v232(constB145)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB145) | (~v232(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23942,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB145) | (~v232(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23943,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB145) | (~v232(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23942, 23941])).
% 49.82/32.81 tff(23944,plain,
% 49.82/32.81 (~v232(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23943, 15255, 23940])).
% 49.82/32.81 tff(23945,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v148(constB145)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB145) | v140(constB145) | (~v148(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23946,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v148(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23947,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB145) | v140(constB145) | (~v148(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23946, 23945])).
% 49.82/32.81 tff(23948,plain,
% 49.82/32.81 (~v148(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23947, 15269, 23905, 23901])).
% 49.82/32.81 tff(23949,plain,
% 49.82/32.81 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB145) | v252(constB145) | (~v197(constB145)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB145) | v252(constB145) | (~v197(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23950,plain,
% 49.82/32.81 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB145) | v252(constB145) | (~v197(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23951,plain,
% 49.82/32.81 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB145) | v252(constB145) | (~v197(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23950, 23949])).
% 49.82/32.81 tff(23952,plain,
% 49.82/32.81 (v252(constB145) | (~v197(constB145))),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23951, 15283, 23948])).
% 49.82/32.81 tff(23953,plain,
% 49.82/32.81 (v252(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23952, 23882])).
% 49.82/32.81 tff(23954,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB145)) | (~v223(constB145, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB145)) | (~v223(constB145, 3)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23955,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB145)) | (~v223(constB145, 3)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23956,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB145)) | (~v223(constB145, 3))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23955, 23954])).
% 49.82/32.81 tff(23957,plain,
% 49.82/32.81 (~v223(constB145, 3)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23956, 15298, 23953])).
% 49.82/32.81 tff(23958,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB145)) | v223(constB145, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB145)) | v223(constB145, 3))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23959,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB145)) | v223(constB145, 3))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23960,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB145)) | v223(constB145, 3)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23959, 23958])).
% 49.82/32.81 tff(23961,plain,
% 49.82/32.81 (~v237(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23960, 15309, 23957])).
% 49.82/32.81 tff(23962,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB145) | v237(constB145) | (~v248(constB145)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB145) | v237(constB145) | (~v248(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23963,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB145) | v237(constB145) | (~v248(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23964,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB145) | v237(constB145) | (~v248(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23963, 23962])).
% 49.82/32.81 tff(23965,plain,
% 49.82/32.81 (v232(constB145) | (~v248(constB145))),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23964, 15323, 23961])).
% 49.82/32.81 tff(23966,plain,
% 49.82/32.81 (~v248(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23965, 23944])).
% 49.82/32.81 tff(23967,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB145) | (~v244(constB145)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB145) | (~v244(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23968,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB145) | (~v244(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23969,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB145) | (~v244(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 49.82/32.81 tff(23970,plain,
% 49.82/32.81 (~v244(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23969, 15338, 23966])).
% 49.82/32.81 tff(23971,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB145) | (~v216(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB145) | (~v216(constB145, 1)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23972,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB145) | (~v216(constB145, 1)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23973,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB145) | (~v216(constB145, 1))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23972, 23971])).
% 49.82/32.81 tff(23974,plain,
% 49.82/32.81 (~v216(constB145, 1)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23973, 15352, 23970])).
% 49.82/32.81 tff(23975,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB145)) | v216(constB145, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB145)) | v216(constB145, 1))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23976,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB145)) | v216(constB145, 1))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23977,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB145)) | v216(constB145, 1)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23976, 23975])).
% 49.82/32.81 tff(23978,plain,
% 49.82/32.81 (~v254(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23977, 15363, 23974])).
% 49.82/32.81 tff(23979,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB145) | (~v221(constB145)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB145) | (~v221(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23980,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB145) | (~v221(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23981,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB145) | (~v221(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23980, 23979])).
% 49.82/32.81 tff(23982,plain,
% 49.82/32.81 (~v221(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23981, 15377, 23936])).
% 49.82/32.81 tff(23983,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB145) | (~v231(constB145)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB145) | (~v231(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23984,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB145) | (~v231(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23985,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB145) | (~v231(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23984, 23983])).
% 49.82/32.81 tff(23986,plain,
% 49.82/32.81 (~v231(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23985, 15391, 23961])).
% 49.82/32.81 tff(23987,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB145) | v231(constB145) | (~v243(constB145)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB145) | v231(constB145) | (~v243(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23988,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB145) | v231(constB145) | (~v243(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23989,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB145) | v231(constB145) | (~v243(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23988, 23987])).
% 49.82/32.81 tff(23990,plain,
% 49.82/32.81 (~v243(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23989, 15405, 23986, 23982])).
% 49.82/32.81 tff(23991,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB145) | v255(constB145))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB145) | v255(constB145))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23992,plain,
% 49.82/32.81 ((v255(constB145) | v243(constB145)) <=> (v243(constB145) | v255(constB145))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23993,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB145) | v243(constB145))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB145) | v255(constB145)))),
% 49.82/32.81 inference(monotonicity,[status(thm)],[23992])).
% 49.82/32.81 tff(23994,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB145) | v243(constB145))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB145) | v255(constB145))),
% 49.82/32.81 inference(transitivity,[status(thm)],[23993, 23991])).
% 49.82/32.81 tff(23995,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB145) | v243(constB145))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(23996,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB145) | v255(constB145)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 49.82/32.81 tff(23997,plain,
% 49.82/32.81 (v255(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[23996, 15416, 23990])).
% 49.82/32.81 tff(23998,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB145)) | (~v216(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB145)) | (~v216(constB145, 2)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(23999,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB145)) | (~v216(constB145, 2)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(24000,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB145)) | (~v216(constB145, 2))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[23999, 23998])).
% 49.82/32.81 tff(24001,plain,
% 49.82/32.81 (~v216(constB145, 2)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24000, 15433, 23997])).
% 49.82/32.81 tff(24002,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB145, 2) | v254(constB145) | (~v215(constB145)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB145, 2) | v254(constB145) | (~v215(constB145)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24003,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB145, 2) | v254(constB145) | (~v215(constB145)))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(24004,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB145, 2) | v254(constB145) | (~v215(constB145))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[24003, 24002])).
% 49.82/32.81 tff(24005,plain,
% 49.82/32.81 (v254(constB145) | (~v215(constB145))),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24004, 15447, 24001])).
% 49.82/32.81 tff(24006,plain,
% 49.82/32.81 (~v215(constB145)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24005, 23978])).
% 49.82/32.81 tff(24007,plain,
% 49.82/32.81 ($false),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24006, 23847])).
% 49.82/32.81 tff(24008,plain,(~(constB145 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.82/32.81 tff(24009,assumption,(constB85 = sK_VarCurr), introduced(assumption)).
% 49.82/32.81 tff(24010,plain,
% 49.82/32.81 (v215(constB85) <=> v215(sK_VarCurr)),
% 49.82/32.81 inference(monotonicity,[status(thm)],[24009])).
% 49.82/32.81 tff(24011,plain,
% 49.82/32.81 (v215(sK_VarCurr) <=> v215(constB85)),
% 49.82/32.81 inference(symmetry,[status(thm)],[24010])).
% 49.82/32.81 tff(24012,plain,
% 49.82/32.81 (v215(constB85)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[34, 24011])).
% 49.82/32.81 tff(24013,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB85, 0)) | v90(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB85, 0)) | v90(constB85, 0))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24014,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB85, 0)) | v90(constB85, 0))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(24015,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB85, 0)) | v90(constB85, 0)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[24014, 24013])).
% 49.82/32.81 tff(24016,plain,
% 49.82/32.81 (~v88(constB85, 0)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24015, 14930, 10153])).
% 49.82/32.81 tff(24017,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB85, 2)) | v88(constB85, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB85, 2)) | v88(constB85, 2))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24018,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB85, 2)) | v88(constB85, 2))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(24019,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB85, 2)) | v88(constB85, 2)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[24018, 24017])).
% 49.82/32.81 tff(24020,plain,
% 49.82/32.81 (v88(constB85, 2)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24019, 14972, 10088])).
% 49.82/32.81 tff(24021,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB85, 1)) | v88(constB85, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB85, 1)) | v88(constB85, 1))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24022,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB85, 1)) | v88(constB85, 1))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(24023,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB85, 1)) | v88(constB85, 1)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[24022, 24021])).
% 49.82/32.81 tff(24024,plain,
% 49.82/32.81 (v88(constB85, 1)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24023, 15014, 10119])).
% 49.82/32.81 tff(24025,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24026,plain,
% 49.82/32.81 (((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85)) <=> (v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24027,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85)))),
% 49.82/32.81 inference(monotonicity,[status(thm)],[24026])).
% 49.82/32.81 tff(24028,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))),
% 49.82/32.81 inference(transitivity,[status(thm)],[24027, 24025])).
% 49.82/32.81 tff(24029,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(24030,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85)),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[24029, 24028])).
% 49.82/32.81 tff(24031,plain,
% 49.82/32.81 (v144(constB85)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24030, 15028, 24024, 24020, 24016])).
% 49.82/32.81 tff(24032,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24033,plain,
% 49.82/32.81 (((~v144(constB85)) | v142(constB85)) <=> (v142(constB85) | (~v144(constB85)))),
% 49.82/32.81 inference(rewrite,[status(thm)],[])).
% 49.82/32.81 tff(24034,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB85) | (~v144(constB85))))),
% 49.82/32.81 inference(monotonicity,[status(thm)],[24033])).
% 49.82/32.81 tff(24035,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85)))),
% 49.82/32.81 inference(transitivity,[status(thm)],[24034, 24032])).
% 49.82/32.81 tff(24036,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))),
% 49.82/32.81 inference(quant_inst,[status(thm)],[])).
% 49.82/32.81 tff(24037,plain,
% 49.82/32.81 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85))),
% 49.82/32.81 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 49.82/32.81 tff(24038,plain,
% 49.82/32.81 (v142(constB85)),
% 49.82/32.81 inference(unit_resolution,[status(thm)],[24037, 15042, 24031])).
% 49.82/32.81 tff(24039,plain,
% 49.82/32.81 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB85)) | v198(constB85))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB85)) | v198(constB85))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24040,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB85)) | v198(constB85))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24041,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB85)) | v198(constB85)),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24040, 24039])).
% 49.89/32.81 tff(24042,plain,
% 49.89/32.81 (v198(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24041, 15053, 24038])).
% 49.89/32.81 tff(24043,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB85)) | (~v201(constB85)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB85)) | (~v201(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24044,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB85)) | (~v201(constB85)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24045,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB85)) | (~v201(constB85))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 49.89/32.81 tff(24046,plain,
% 49.89/32.81 (~v201(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24045, 15064, 24042])).
% 49.89/32.81 tff(24047,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB85) | (~v198(constB85)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB85) | (~v198(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24048,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB85) | (~v198(constB85)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24049,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB85) | (~v198(constB85))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24048, 24047])).
% 49.89/32.81 tff(24050,plain,
% 49.89/32.81 (v197(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24049, 15078, 24042])).
% 49.89/32.81 tff(24051,plain,
% 49.89/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB85) | (~v197(constB85)) | v201(constB85))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB85) | (~v197(constB85)) | v201(constB85))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24052,plain,
% 49.89/32.81 (((~v197(constB85)) | v201(constB85) | v227(constB85)) <=> (v227(constB85) | (~v197(constB85)) | v201(constB85))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24053,plain,
% 49.89/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB85)) | v201(constB85) | v227(constB85))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB85) | (~v197(constB85)) | v201(constB85)))),
% 49.89/32.81 inference(monotonicity,[status(thm)],[24052])).
% 49.89/32.81 tff(24054,plain,
% 49.89/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB85)) | v201(constB85) | v227(constB85))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB85) | (~v197(constB85)) | v201(constB85))),
% 49.89/32.81 inference(transitivity,[status(thm)],[24053, 24051])).
% 49.89/32.81 tff(24055,plain,
% 49.89/32.81 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB85)) | v201(constB85) | v227(constB85))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24056,plain,
% 49.89/32.81 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB85) | (~v197(constB85)) | v201(constB85)),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24055, 24054])).
% 49.89/32.81 tff(24057,plain,
% 49.89/32.81 (v227(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24056, 15092, 24050, 24046])).
% 49.89/32.81 tff(24058,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB85)) | (~v223(constB85, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB85)) | (~v223(constB85, 0)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24059,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB85)) | (~v223(constB85, 0)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24060,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB85)) | (~v223(constB85, 0))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24059, 24058])).
% 49.89/32.81 tff(24061,plain,
% 49.89/32.81 (~v223(constB85, 0)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24060, 15109, 24057])).
% 49.89/32.81 tff(24062,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB85)) | v223(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB85)) | v223(constB85, 0))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24063,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB85)) | v223(constB85, 0))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24064,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB85)) | v223(constB85, 0)),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24063, 24062])).
% 49.89/32.81 tff(24065,plain,
% 49.89/32.81 (~v222(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24064, 15120, 24061])).
% 49.89/32.81 tff(24066,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB85)) | (~v88(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB85)) | (~v88(constB85, 1)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24067,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB85)) | (~v88(constB85, 1)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24068,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB85)) | (~v88(constB85, 1))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 49.89/32.81 tff(24069,plain,
% 49.89/32.81 (~v139(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24068, 15131, 24024])).
% 49.89/32.81 tff(24070,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB85)) | (~v88(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB85)) | (~v88(constB85, 1)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24071,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB85)) | (~v88(constB85, 1)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24072,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB85)) | (~v88(constB85, 1))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 49.89/32.81 tff(24073,plain,
% 49.89/32.81 (~v140(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24072, 15142, 24024])).
% 49.89/32.81 tff(24074,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v200(constB85)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB85) | v140(constB85) | (~v200(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24075,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v200(constB85)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24076,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB85) | v140(constB85) | (~v200(constB85))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 49.89/32.81 tff(24077,plain,
% 49.89/32.81 (~v200(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24076, 15156, 24073, 24069])).
% 49.89/32.81 tff(24078,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB85)) | (~v88(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB85)) | (~v88(constB85, 2)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24079,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB85)) | (~v88(constB85, 2)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24080,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB85)) | (~v88(constB85, 2))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24079, 24078])).
% 49.89/32.81 tff(24081,plain,
% 49.89/32.81 (~v141(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24080, 15167, 24020])).
% 49.89/32.81 tff(24082,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB85) | v200(constB85) | (~v166(constB85)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB85) | v200(constB85) | (~v166(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24083,plain,
% 49.89/32.81 ((v141(constB85) | (~v166(constB85)) | v200(constB85)) <=> (v141(constB85) | v200(constB85) | (~v166(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24084,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB85) | (~v166(constB85)) | v200(constB85))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB85) | v200(constB85) | (~v166(constB85))))),
% 49.89/32.81 inference(monotonicity,[status(thm)],[24083])).
% 49.89/32.81 tff(24085,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB85) | (~v166(constB85)) | v200(constB85))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB85) | v200(constB85) | (~v166(constB85)))),
% 49.89/32.81 inference(transitivity,[status(thm)],[24084, 24082])).
% 49.89/32.81 tff(24086,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB85) | (~v166(constB85)) | v200(constB85))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24087,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB85) | v200(constB85) | (~v166(constB85))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24086, 24085])).
% 49.89/32.81 tff(24088,plain,
% 49.89/32.81 (~v166(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24087, 15181, 24081, 24077])).
% 49.89/32.81 tff(24089,plain,
% 49.89/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB85) | (~v197(constB85)) | v166(constB85))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB85) | (~v197(constB85)) | v166(constB85))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24090,plain,
% 49.89/32.81 (((~v197(constB85)) | v166(constB85) | v241(constB85)) <=> (v241(constB85) | (~v197(constB85)) | v166(constB85))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24091,plain,
% 49.89/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB85)) | v166(constB85) | v241(constB85))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB85) | (~v197(constB85)) | v166(constB85)))),
% 49.89/32.81 inference(monotonicity,[status(thm)],[24090])).
% 49.89/32.81 tff(24092,plain,
% 49.89/32.81 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB85)) | v166(constB85) | v241(constB85))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB85) | (~v197(constB85)) | v166(constB85))),
% 49.89/32.81 inference(transitivity,[status(thm)],[24091, 24089])).
% 49.89/32.81 tff(24093,plain,
% 49.89/32.81 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB85)) | v166(constB85) | v241(constB85))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24094,plain,
% 49.89/32.81 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB85) | (~v197(constB85)) | v166(constB85)),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24093, 24092])).
% 49.89/32.81 tff(24095,plain,
% 49.89/32.81 (v241(constB85) | (~v197(constB85))),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24094, 15198, 24088])).
% 49.89/32.81 tff(24096,plain,
% 49.89/32.81 (v241(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24095, 24050])).
% 49.89/32.81 tff(24097,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB85)) | (~v223(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB85)) | (~v223(constB85, 2)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24098,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB85)) | (~v223(constB85, 2)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24099,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB85)) | (~v223(constB85, 2))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24098, 24097])).
% 49.89/32.81 tff(24100,plain,
% 49.89/32.81 (~v223(constB85, 2)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24099, 15216, 24096])).
% 49.89/32.81 tff(24101,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB85)) | v223(constB85, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB85)) | v223(constB85, 2))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24102,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB85)) | v223(constB85, 2))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24103,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB85)) | v223(constB85, 2)),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24102, 24101])).
% 49.89/32.81 tff(24104,plain,
% 49.89/32.81 (~v224(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24103, 15227, 24100])).
% 49.89/32.81 tff(24105,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB85) | v224(constB85) | (~v236(constB85)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB85) | v224(constB85) | (~v236(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24106,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB85) | v224(constB85) | (~v236(constB85)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24107,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB85) | v224(constB85) | (~v236(constB85))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24106, 24105])).
% 49.89/32.81 tff(24108,plain,
% 49.89/32.81 (~v236(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24107, 15241, 24104, 24065])).
% 49.89/32.81 tff(24109,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB85) | (~v232(constB85)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB85) | (~v232(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24110,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB85) | (~v232(constB85)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24111,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB85) | (~v232(constB85))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 49.89/32.81 tff(24112,plain,
% 49.89/32.81 (~v232(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24111, 15255, 24108])).
% 49.89/32.81 tff(24113,plain,
% 49.89/32.81 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v148(constB85)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB85) | v140(constB85) | (~v148(constB85)))),
% 49.89/32.81 inference(rewrite,[status(thm)],[])).
% 49.89/32.81 tff(24114,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v148(constB85)))),
% 49.89/32.81 inference(quant_inst,[status(thm)],[])).
% 49.89/32.81 tff(24115,plain,
% 49.89/32.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB85) | v140(constB85) | (~v148(constB85))),
% 49.89/32.81 inference(modus_ponens,[status(thm)],[24114, 24113])).
% 49.89/32.81 tff(24116,plain,
% 49.89/32.81 (~v148(constB85)),
% 49.89/32.81 inference(unit_resolution,[status(thm)],[24115, 15269, 24073, 24069])).
% 49.89/32.82 tff(24117,plain,
% 49.89/32.82 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB85) | v252(constB85) | (~v197(constB85)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB85) | v252(constB85) | (~v197(constB85)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24118,plain,
% 49.89/32.82 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB85) | v252(constB85) | (~v197(constB85)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24119,plain,
% 49.89/32.82 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB85) | v252(constB85) | (~v197(constB85))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 49.89/32.82 tff(24120,plain,
% 49.89/32.82 (v252(constB85) | (~v197(constB85))),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24119, 15283, 24116])).
% 49.89/32.82 tff(24121,plain,
% 49.89/32.82 (v252(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24120, 24050])).
% 49.89/32.82 tff(24122,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB85)) | (~v223(constB85, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB85)) | (~v223(constB85, 3)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24123,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB85)) | (~v223(constB85, 3)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24124,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB85)) | (~v223(constB85, 3))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24123, 24122])).
% 49.89/32.82 tff(24125,plain,
% 49.89/32.82 (~v223(constB85, 3)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24124, 15298, 24121])).
% 49.89/32.82 tff(24126,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB85)) | v223(constB85, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB85)) | v223(constB85, 3))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24127,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB85)) | v223(constB85, 3))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24128,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB85)) | v223(constB85, 3)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24127, 24126])).
% 49.89/32.82 tff(24129,plain,
% 49.89/32.82 (~v237(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24128, 15309, 24125])).
% 49.89/32.82 tff(24130,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB85) | v237(constB85) | (~v248(constB85)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB85) | v237(constB85) | (~v248(constB85)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24131,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB85) | v237(constB85) | (~v248(constB85)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24132,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB85) | v237(constB85) | (~v248(constB85))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24131, 24130])).
% 49.89/32.82 tff(24133,plain,
% 49.89/32.82 (v232(constB85) | (~v248(constB85))),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24132, 15323, 24129])).
% 49.89/32.82 tff(24134,plain,
% 49.89/32.82 (~v248(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24133, 24112])).
% 49.89/32.82 tff(24135,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB85) | (~v244(constB85)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB85) | (~v244(constB85)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24136,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB85) | (~v244(constB85)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24137,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB85) | (~v244(constB85))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24136, 24135])).
% 49.89/32.82 tff(24138,plain,
% 49.89/32.82 (~v244(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24137, 15338, 24134])).
% 49.89/32.82 tff(24139,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB85) | (~v216(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB85) | (~v216(constB85, 1)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24140,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB85) | (~v216(constB85, 1)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24141,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB85) | (~v216(constB85, 1))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 49.89/32.82 tff(24142,plain,
% 49.89/32.82 (~v216(constB85, 1)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24141, 15352, 24138])).
% 49.89/32.82 tff(24143,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB85)) | v216(constB85, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB85)) | v216(constB85, 1))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24144,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB85)) | v216(constB85, 1))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24145,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB85)) | v216(constB85, 1)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24144, 24143])).
% 49.89/32.82 tff(24146,plain,
% 49.89/32.82 (~v254(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24145, 15363, 24142])).
% 49.89/32.82 tff(24147,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB85) | (~v221(constB85)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB85) | (~v221(constB85)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24148,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB85) | (~v221(constB85)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24149,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB85) | (~v221(constB85))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24148, 24147])).
% 49.89/32.82 tff(24150,plain,
% 49.89/32.82 (~v221(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24149, 15377, 24104])).
% 49.89/32.82 tff(24151,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB85) | (~v231(constB85)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB85) | (~v231(constB85)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24152,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB85) | (~v231(constB85)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24153,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB85) | (~v231(constB85))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24152, 24151])).
% 49.89/32.82 tff(24154,plain,
% 49.89/32.82 (~v231(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24153, 15391, 24129])).
% 49.89/32.82 tff(24155,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB85) | v231(constB85) | (~v243(constB85)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB85) | v231(constB85) | (~v243(constB85)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24156,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB85) | v231(constB85) | (~v243(constB85)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24157,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB85) | v231(constB85) | (~v243(constB85))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24156, 24155])).
% 49.89/32.82 tff(24158,plain,
% 49.89/32.82 (~v243(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24157, 15405, 24154, 24150])).
% 49.89/32.82 tff(24159,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB85) | v255(constB85))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB85) | v255(constB85))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24160,plain,
% 49.89/32.82 ((v255(constB85) | v243(constB85)) <=> (v243(constB85) | v255(constB85))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24161,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB85) | v243(constB85))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB85) | v255(constB85)))),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24160])).
% 49.89/32.82 tff(24162,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB85) | v243(constB85))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB85) | v255(constB85))),
% 49.89/32.82 inference(transitivity,[status(thm)],[24161, 24159])).
% 49.89/32.82 tff(24163,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB85) | v243(constB85))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24164,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB85) | v255(constB85)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24163, 24162])).
% 49.89/32.82 tff(24165,plain,
% 49.89/32.82 (v255(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24164, 15416, 24158])).
% 49.89/32.82 tff(24166,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB85)) | (~v216(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB85)) | (~v216(constB85, 2)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24167,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB85)) | (~v216(constB85, 2)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24168,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB85)) | (~v216(constB85, 2))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 49.89/32.82 tff(24169,plain,
% 49.89/32.82 (~v216(constB85, 2)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24168, 15433, 24165])).
% 49.89/32.82 tff(24170,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB85)) | v254(constB85) | v216(constB85, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB85)) | v254(constB85) | v216(constB85, 2))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24171,plain,
% 49.89/32.82 ((v216(constB85, 2) | v254(constB85) | (~v215(constB85))) <=> ((~v215(constB85)) | v254(constB85) | v216(constB85, 2))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24172,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB85, 2) | v254(constB85) | (~v215(constB85)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB85)) | v254(constB85) | v216(constB85, 2)))),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24171])).
% 49.89/32.82 tff(24173,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB85, 2) | v254(constB85) | (~v215(constB85)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB85)) | v254(constB85) | v216(constB85, 2))),
% 49.89/32.82 inference(transitivity,[status(thm)],[24172, 24170])).
% 49.89/32.82 tff(24174,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB85, 2) | v254(constB85) | (~v215(constB85)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24175,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB85)) | v254(constB85) | v216(constB85, 2)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24174, 24173])).
% 49.89/32.82 tff(24176,plain,
% 49.89/32.82 ((~v215(constB85)) | v254(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24175, 15447, 24169])).
% 49.89/32.82 tff(24177,plain,
% 49.89/32.82 (~v215(constB85)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24176, 24146])).
% 49.89/32.82 tff(24178,plain,
% 49.89/32.82 ($false),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24177, 24012])).
% 49.89/32.82 tff(24179,plain,(~(constB85 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.89/32.82 tff(24180,assumption,(constB181 = sK_VarCurr), introduced(assumption)).
% 49.89/32.82 tff(24181,plain,
% 49.89/32.82 (v215(constB181) <=> v215(sK_VarCurr)),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24180])).
% 49.89/32.82 tff(24182,plain,
% 49.89/32.82 (v215(sK_VarCurr) <=> v215(constB181)),
% 49.89/32.82 inference(symmetry,[status(thm)],[24181])).
% 49.89/32.82 tff(24183,plain,
% 49.89/32.82 (v215(constB181)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[34, 24182])).
% 49.89/32.82 tff(24184,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB181, 0)) | v90(constB181, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB181, 0)) | v90(constB181, 0))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24185,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB181, 0)) | v90(constB181, 0))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24186,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB181, 0)) | v90(constB181, 0)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 49.89/32.82 tff(24187,plain,
% 49.89/32.82 (~v88(constB181, 0)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24186, 14930, 22370])).
% 49.89/32.82 tff(24188,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB181, 2)) | v88(constB181, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB181, 2)) | v88(constB181, 2))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24189,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB181, 2)) | v88(constB181, 2))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24190,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB181, 2)) | v88(constB181, 2)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24189, 24188])).
% 49.89/32.82 tff(24191,plain,
% 49.89/32.82 (v88(constB181, 2)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24190, 14972, 22305])).
% 49.89/32.82 tff(24192,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB181, 1)) | v88(constB181, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB181, 1)) | v88(constB181, 1))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24193,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB181, 1)) | v88(constB181, 1))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24194,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB181, 1)) | v88(constB181, 1)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24193, 24192])).
% 49.89/32.82 tff(24195,plain,
% 49.89/32.82 (v88(constB181, 1)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24194, 15014, 22336])).
% 49.89/32.82 tff(24196,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24197,plain,
% 49.89/32.82 (((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181)) <=> (v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24198,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181)))),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24197])).
% 49.89/32.82 tff(24199,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))),
% 49.89/32.82 inference(transitivity,[status(thm)],[24198, 24196])).
% 49.89/32.82 tff(24200,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24201,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 49.89/32.82 tff(24202,plain,
% 49.89/32.82 (v144(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24201, 15028, 24195, 24191, 24187])).
% 49.89/32.82 tff(24203,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB181)) | v142(constB181))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24204,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24205,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB181)) | v142(constB181)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24204, 24203])).
% 49.89/32.82 tff(24206,plain,
% 49.89/32.82 (v142(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24205, 15042, 24202])).
% 49.89/32.82 tff(24207,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB181) | (~v142(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24208,plain,
% 49.89/32.82 (((~v142(constB181)) | v198(constB181)) <=> (v198(constB181) | (~v142(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24209,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB181)) | v198(constB181))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB181) | (~v142(constB181))))),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24208])).
% 49.89/32.82 tff(24210,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB181)) | v198(constB181))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB181) | (~v142(constB181)))),
% 49.89/32.82 inference(transitivity,[status(thm)],[24209, 24207])).
% 49.89/32.82 tff(24211,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB181)) | v198(constB181))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24212,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB181) | (~v142(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24211, 24210])).
% 49.89/32.82 tff(24213,plain,
% 49.89/32.82 (v198(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24212, 15053, 24206])).
% 49.89/32.82 tff(24214,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB181)) | (~v201(constB181)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB181)) | (~v201(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24215,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB181)) | (~v201(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24216,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB181)) | (~v201(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24215, 24214])).
% 49.89/32.82 tff(24217,plain,
% 49.89/32.82 (~v201(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24216, 15064, 24213])).
% 49.89/32.82 tff(24218,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB181) | (~v198(constB181)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB181) | (~v198(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24219,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB181) | (~v198(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24220,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB181) | (~v198(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24219, 24218])).
% 49.89/32.82 tff(24221,plain,
% 49.89/32.82 (v197(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24220, 15078, 24213])).
% 49.89/32.82 tff(24222,plain,
% 49.89/32.82 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB181) | v201(constB181) | (~v197(constB181)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB181) | v201(constB181) | (~v197(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24223,plain,
% 49.89/32.82 (((~v197(constB181)) | v201(constB181) | v227(constB181)) <=> (v227(constB181) | v201(constB181) | (~v197(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24224,plain,
% 49.89/32.82 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB181)) | v201(constB181) | v227(constB181))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB181) | v201(constB181) | (~v197(constB181))))),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24223])).
% 49.89/32.82 tff(24225,plain,
% 49.89/32.82 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB181)) | v201(constB181) | v227(constB181))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB181) | v201(constB181) | (~v197(constB181)))),
% 49.89/32.82 inference(transitivity,[status(thm)],[24224, 24222])).
% 49.89/32.82 tff(24226,plain,
% 49.89/32.82 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB181)) | v201(constB181) | v227(constB181))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24227,plain,
% 49.89/32.82 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB181) | v201(constB181) | (~v197(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24226, 24225])).
% 49.89/32.82 tff(24228,plain,
% 49.89/32.82 (v227(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24227, 15092, 24221, 24217])).
% 49.89/32.82 tff(24229,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB181)) | (~v223(constB181, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB181)) | (~v223(constB181, 0)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24230,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB181)) | (~v223(constB181, 0)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24231,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB181)) | (~v223(constB181, 0))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24230, 24229])).
% 49.89/32.82 tff(24232,plain,
% 49.89/32.82 (~v223(constB181, 0)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24231, 15109, 24228])).
% 49.89/32.82 tff(24233,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB181)) | v223(constB181, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB181)) | v223(constB181, 0))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24234,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB181)) | v223(constB181, 0))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24235,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB181)) | v223(constB181, 0)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24234, 24233])).
% 49.89/32.82 tff(24236,plain,
% 49.89/32.82 (~v222(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24235, 15120, 24232])).
% 49.89/32.82 tff(24237,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB181)) | (~v88(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB181)) | (~v88(constB181, 1)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24238,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB181)) | (~v88(constB181, 1)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24239,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB181)) | (~v88(constB181, 1))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24238, 24237])).
% 49.89/32.82 tff(24240,plain,
% 49.89/32.82 (~v139(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24239, 15131, 24195])).
% 49.89/32.82 tff(24241,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB181)) | (~v88(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB181)) | (~v88(constB181, 1)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24242,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB181)) | (~v88(constB181, 1)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24243,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB181)) | (~v88(constB181, 1))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24242, 24241])).
% 49.89/32.82 tff(24244,plain,
% 49.89/32.82 (~v140(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24243, 15142, 24195])).
% 49.89/32.82 tff(24245,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v200(constB181)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB181) | v140(constB181) | (~v200(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24246,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v200(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24247,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB181) | v140(constB181) | (~v200(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24246, 24245])).
% 49.89/32.82 tff(24248,plain,
% 49.89/32.82 (~v200(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24247, 15156, 24244, 24240])).
% 49.89/32.82 tff(24249,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB181)) | (~v88(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB181)) | (~v88(constB181, 2)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24250,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB181)) | (~v88(constB181, 2)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24251,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB181)) | (~v88(constB181, 2))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24250, 24249])).
% 49.89/32.82 tff(24252,plain,
% 49.89/32.82 (~v141(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24251, 15167, 24191])).
% 49.89/32.82 tff(24253,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB181) | v200(constB181) | (~v166(constB181)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB181) | v200(constB181) | (~v166(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24254,plain,
% 49.89/32.82 ((v141(constB181) | (~v166(constB181)) | v200(constB181)) <=> (v141(constB181) | v200(constB181) | (~v166(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24255,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB181) | (~v166(constB181)) | v200(constB181))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB181) | v200(constB181) | (~v166(constB181))))),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24254])).
% 49.89/32.82 tff(24256,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB181) | (~v166(constB181)) | v200(constB181))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB181) | v200(constB181) | (~v166(constB181)))),
% 49.89/32.82 inference(transitivity,[status(thm)],[24255, 24253])).
% 49.89/32.82 tff(24257,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB181) | (~v166(constB181)) | v200(constB181))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24258,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB181) | v200(constB181) | (~v166(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 49.89/32.82 tff(24259,plain,
% 49.89/32.82 (~v166(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24258, 15181, 24252, 24248])).
% 49.89/32.82 tff(24260,plain,
% 49.89/32.82 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB181) | (~v197(constB181)) | v166(constB181))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB181) | (~v197(constB181)) | v166(constB181))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24261,plain,
% 49.89/32.82 (((~v197(constB181)) | v166(constB181) | v241(constB181)) <=> (v241(constB181) | (~v197(constB181)) | v166(constB181))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24262,plain,
% 49.89/32.82 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB181)) | v166(constB181) | v241(constB181))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB181) | (~v197(constB181)) | v166(constB181)))),
% 49.89/32.82 inference(monotonicity,[status(thm)],[24261])).
% 49.89/32.82 tff(24263,plain,
% 49.89/32.82 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB181)) | v166(constB181) | v241(constB181))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB181) | (~v197(constB181)) | v166(constB181))),
% 49.89/32.82 inference(transitivity,[status(thm)],[24262, 24260])).
% 49.89/32.82 tff(24264,plain,
% 49.89/32.82 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB181)) | v166(constB181) | v241(constB181))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24265,plain,
% 49.89/32.82 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB181) | (~v197(constB181)) | v166(constB181)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24264, 24263])).
% 49.89/32.82 tff(24266,plain,
% 49.89/32.82 (v241(constB181) | (~v197(constB181))),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24265, 15198, 24259])).
% 49.89/32.82 tff(24267,plain,
% 49.89/32.82 (v241(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24266, 24221])).
% 49.89/32.82 tff(24268,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB181)) | (~v223(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB181)) | (~v223(constB181, 2)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24269,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB181)) | (~v223(constB181, 2)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24270,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB181)) | (~v223(constB181, 2))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24269, 24268])).
% 49.89/32.82 tff(24271,plain,
% 49.89/32.82 (~v223(constB181, 2)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24270, 15216, 24267])).
% 49.89/32.82 tff(24272,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB181)) | v223(constB181, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB181)) | v223(constB181, 2))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24273,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB181)) | v223(constB181, 2))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24274,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB181)) | v223(constB181, 2)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24273, 24272])).
% 49.89/32.82 tff(24275,plain,
% 49.89/32.82 (~v224(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24274, 15227, 24271])).
% 49.89/32.82 tff(24276,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB181) | v224(constB181) | (~v236(constB181)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB181) | v224(constB181) | (~v236(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24277,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB181) | v224(constB181) | (~v236(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24278,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB181) | v224(constB181) | (~v236(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24277, 24276])).
% 49.89/32.82 tff(24279,plain,
% 49.89/32.82 (~v236(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24278, 15241, 24275, 24236])).
% 49.89/32.82 tff(24280,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB181) | (~v232(constB181)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB181) | (~v232(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24281,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB181) | (~v232(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24282,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB181) | (~v232(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24281, 24280])).
% 49.89/32.82 tff(24283,plain,
% 49.89/32.82 (~v232(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24282, 15255, 24279])).
% 49.89/32.82 tff(24284,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v148(constB181)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB181) | v140(constB181) | (~v148(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24285,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v148(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24286,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB181) | v140(constB181) | (~v148(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 49.89/32.82 tff(24287,plain,
% 49.89/32.82 (~v148(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24286, 15269, 24244, 24240])).
% 49.89/32.82 tff(24288,plain,
% 49.89/32.82 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB181) | v252(constB181) | (~v197(constB181)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB181) | v252(constB181) | (~v197(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24289,plain,
% 49.89/32.82 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB181) | v252(constB181) | (~v197(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24290,plain,
% 49.89/32.82 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB181) | v252(constB181) | (~v197(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24289, 24288])).
% 49.89/32.82 tff(24291,plain,
% 49.89/32.82 (v252(constB181) | (~v197(constB181))),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24290, 15283, 24287])).
% 49.89/32.82 tff(24292,plain,
% 49.89/32.82 (v252(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24291, 24221])).
% 49.89/32.82 tff(24293,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB181)) | (~v223(constB181, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB181)) | (~v223(constB181, 3)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24294,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB181)) | (~v223(constB181, 3)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24295,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB181)) | (~v223(constB181, 3))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 49.89/32.82 tff(24296,plain,
% 49.89/32.82 (~v223(constB181, 3)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24295, 15298, 24292])).
% 49.89/32.82 tff(24297,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB181)) | v223(constB181, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB181)) | v223(constB181, 3))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24298,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB181)) | v223(constB181, 3))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24299,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB181)) | v223(constB181, 3)),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24298, 24297])).
% 49.89/32.82 tff(24300,plain,
% 49.89/32.82 (~v237(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24299, 15309, 24296])).
% 49.89/32.82 tff(24301,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB181) | v237(constB181) | (~v248(constB181)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB181) | v237(constB181) | (~v248(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24302,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB181) | v237(constB181) | (~v248(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24303,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB181) | v237(constB181) | (~v248(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24302, 24301])).
% 49.89/32.82 tff(24304,plain,
% 49.89/32.82 (v232(constB181) | (~v248(constB181))),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24303, 15323, 24300])).
% 49.89/32.82 tff(24305,plain,
% 49.89/32.82 (~v248(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24304, 24283])).
% 49.89/32.82 tff(24306,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB181) | (~v244(constB181)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB181) | (~v244(constB181)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24307,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB181) | (~v244(constB181)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24308,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB181) | (~v244(constB181))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 49.89/32.82 tff(24309,plain,
% 49.89/32.82 (~v244(constB181)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24308, 15338, 24305])).
% 49.89/32.82 tff(24310,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB181) | (~v216(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB181) | (~v216(constB181, 1)))),
% 49.89/32.82 inference(rewrite,[status(thm)],[])).
% 49.89/32.82 tff(24311,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB181) | (~v216(constB181, 1)))),
% 49.89/32.82 inference(quant_inst,[status(thm)],[])).
% 49.89/32.82 tff(24312,plain,
% 49.89/32.82 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB181) | (~v216(constB181, 1))),
% 49.89/32.82 inference(modus_ponens,[status(thm)],[24311, 24310])).
% 49.89/32.82 tff(24313,plain,
% 49.89/32.82 (~v216(constB181, 1)),
% 49.89/32.82 inference(unit_resolution,[status(thm)],[24312, 15352, 24309])).
% 49.89/32.82 tff(24314,plain,
% 49.89/32.82 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB181)) | v216(constB181, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB181)) | v216(constB181, 1))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24315,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB181)) | v216(constB181, 1))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24316,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB181)) | v216(constB181, 1)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24315, 24314])).
% 49.89/32.83 tff(24317,plain,
% 49.89/32.83 (~v254(constB181)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24316, 15363, 24313])).
% 49.89/32.83 tff(24318,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB181) | (~v221(constB181)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB181) | (~v221(constB181)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24319,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB181) | (~v221(constB181)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24320,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB181) | (~v221(constB181))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 49.89/32.83 tff(24321,plain,
% 49.89/32.83 (~v221(constB181)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24320, 15377, 24275])).
% 49.89/32.83 tff(24322,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB181) | (~v231(constB181)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB181) | (~v231(constB181)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24323,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB181) | (~v231(constB181)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24324,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB181) | (~v231(constB181))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 49.89/32.83 tff(24325,plain,
% 49.89/32.83 (~v231(constB181)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24324, 15391, 24300])).
% 49.89/32.83 tff(24326,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB181) | v231(constB181) | (~v243(constB181)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB181) | v231(constB181) | (~v243(constB181)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24327,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB181) | v231(constB181) | (~v243(constB181)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24328,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB181) | v231(constB181) | (~v243(constB181))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 49.89/32.83 tff(24329,plain,
% 49.89/32.83 (~v243(constB181)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24328, 15405, 24325, 24321])).
% 49.89/32.83 tff(24330,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB181) | v255(constB181))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB181) | v255(constB181))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24331,plain,
% 49.89/32.83 ((v255(constB181) | v243(constB181)) <=> (v243(constB181) | v255(constB181))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24332,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB181) | v243(constB181))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB181) | v255(constB181)))),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24331])).
% 49.89/32.83 tff(24333,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB181) | v243(constB181))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB181) | v255(constB181))),
% 49.89/32.83 inference(transitivity,[status(thm)],[24332, 24330])).
% 49.89/32.83 tff(24334,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB181) | v243(constB181))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24335,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB181) | v255(constB181)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24334, 24333])).
% 49.89/32.83 tff(24336,plain,
% 49.89/32.83 (v255(constB181)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24335, 15416, 24329])).
% 49.89/32.83 tff(24337,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB181)) | (~v216(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB181)) | (~v216(constB181, 2)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24338,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB181)) | (~v216(constB181, 2)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24339,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB181)) | (~v216(constB181, 2))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24338, 24337])).
% 49.89/32.83 tff(24340,plain,
% 49.89/32.83 (~v216(constB181, 2)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24339, 15433, 24336])).
% 49.89/32.83 tff(24341,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB181, 2) | v254(constB181) | (~v215(constB181)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB181, 2) | v254(constB181) | (~v215(constB181)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24342,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB181, 2) | v254(constB181) | (~v215(constB181)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24343,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB181, 2) | v254(constB181) | (~v215(constB181))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24342, 24341])).
% 49.89/32.83 tff(24344,plain,
% 49.89/32.83 (v254(constB181) | (~v215(constB181))),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24343, 15447, 24340])).
% 49.89/32.83 tff(24345,plain,
% 49.89/32.83 (~v215(constB181)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24344, 24317])).
% 49.89/32.83 tff(24346,plain,
% 49.89/32.83 ($false),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24345, 24183])).
% 49.89/32.83 tff(24347,plain,(~(constB181 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.89/32.83 tff(24348,assumption,(constB169 = sK_VarCurr), introduced(assumption)).
% 49.89/32.83 tff(24349,plain,
% 49.89/32.83 (v215(constB169) <=> v215(sK_VarCurr)),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24348])).
% 49.89/32.83 tff(24350,plain,
% 49.89/32.83 (v215(sK_VarCurr) <=> v215(constB169)),
% 49.89/32.83 inference(symmetry,[status(thm)],[24349])).
% 49.89/32.83 tff(24351,plain,
% 49.89/32.83 (v215(constB169)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[34, 24350])).
% 49.89/32.83 tff(24352,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB169, 0)) | v90(constB169, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB169, 0)) | v90(constB169, 0))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24353,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB169, 0)) | v90(constB169, 0))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24354,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB169, 0)) | v90(constB169, 0)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24353, 24352])).
% 49.89/32.83 tff(24355,plain,
% 49.89/32.83 (~v88(constB169, 0)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24354, 14930, 21182])).
% 49.89/32.83 tff(24356,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB169, 2)) | v88(constB169, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB169, 2)) | v88(constB169, 2))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24357,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB169, 2)) | v88(constB169, 2))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24358,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB169, 2)) | v88(constB169, 2)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 49.89/32.83 tff(24359,plain,
% 49.89/32.83 (v88(constB169, 2)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24358, 14972, 21117])).
% 49.89/32.83 tff(24360,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB169, 1)) | v88(constB169, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB169, 1)) | v88(constB169, 1))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24361,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB169, 1)) | v88(constB169, 1))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24362,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB169, 1)) | v88(constB169, 1)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24361, 24360])).
% 49.89/32.83 tff(24363,plain,
% 49.89/32.83 (v88(constB169, 1)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24362, 15014, 21148])).
% 49.89/32.83 tff(24364,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 1)) | (~v88(constB169, 2)) | v88(constB169, 0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB169, 1)) | (~v88(constB169, 2)) | v88(constB169, 0) | v144(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24365,plain,
% 49.89/32.83 (((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169)) <=> ((~v88(constB169, 1)) | (~v88(constB169, 2)) | v88(constB169, 0) | v144(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24366,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 1)) | (~v88(constB169, 2)) | v88(constB169, 0) | v144(constB169)))),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24365])).
% 49.89/32.83 tff(24367,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB169, 1)) | (~v88(constB169, 2)) | v88(constB169, 0) | v144(constB169))),
% 49.89/32.83 inference(transitivity,[status(thm)],[24366, 24364])).
% 49.89/32.83 tff(24368,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24369,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB169, 1)) | (~v88(constB169, 2)) | v88(constB169, 0) | v144(constB169)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24368, 24367])).
% 49.89/32.83 tff(24370,plain,
% 49.89/32.83 (v144(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24369, 15028, 24363, 24359, 24355])).
% 49.89/32.83 tff(24371,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB169)) | v142(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24372,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24373,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB169)) | v142(constB169)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24372, 24371])).
% 49.89/32.83 tff(24374,plain,
% 49.89/32.83 (v142(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24373, 15042, 24370])).
% 49.89/32.83 tff(24375,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB169)) | v198(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB169)) | v198(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24376,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB169)) | v198(constB169))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24377,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB169)) | v198(constB169)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24376, 24375])).
% 49.89/32.83 tff(24378,plain,
% 49.89/32.83 (v198(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24377, 15053, 24374])).
% 49.89/32.83 tff(24379,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB169)) | (~v201(constB169)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB169)) | (~v201(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24380,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB169)) | (~v201(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24381,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB169)) | (~v201(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24380, 24379])).
% 49.89/32.83 tff(24382,plain,
% 49.89/32.83 (~v201(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24381, 15064, 24378])).
% 49.89/32.83 tff(24383,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB169) | (~v198(constB169)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB169) | (~v198(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24384,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB169) | (~v198(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24385,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB169) | (~v198(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24384, 24383])).
% 49.89/32.83 tff(24386,plain,
% 49.89/32.83 (v197(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24385, 15078, 24378])).
% 49.89/32.83 tff(24387,plain,
% 49.89/32.83 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB169) | v201(constB169) | (~v197(constB169)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB169) | v201(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24388,plain,
% 49.89/32.83 (((~v197(constB169)) | v201(constB169) | v227(constB169)) <=> (v227(constB169) | v201(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24389,plain,
% 49.89/32.83 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB169)) | v201(constB169) | v227(constB169))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB169) | v201(constB169) | (~v197(constB169))))),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24388])).
% 49.89/32.83 tff(24390,plain,
% 49.89/32.83 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB169)) | v201(constB169) | v227(constB169))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB169) | v201(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(transitivity,[status(thm)],[24389, 24387])).
% 49.89/32.83 tff(24391,plain,
% 49.89/32.83 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB169)) | v201(constB169) | v227(constB169))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24392,plain,
% 49.89/32.83 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB169) | v201(constB169) | (~v197(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24391, 24390])).
% 49.89/32.83 tff(24393,plain,
% 49.89/32.83 (v227(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24392, 15092, 24386, 24382])).
% 49.89/32.83 tff(24394,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB169)) | (~v223(constB169, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB169)) | (~v223(constB169, 0)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24395,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB169)) | (~v223(constB169, 0)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24396,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB169)) | (~v223(constB169, 0))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24395, 24394])).
% 49.89/32.83 tff(24397,plain,
% 49.89/32.83 (~v223(constB169, 0)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24396, 15109, 24393])).
% 49.89/32.83 tff(24398,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB169)) | v223(constB169, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB169)) | v223(constB169, 0))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24399,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB169)) | v223(constB169, 0))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24400,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB169)) | v223(constB169, 0)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24399, 24398])).
% 49.89/32.83 tff(24401,plain,
% 49.89/32.83 (~v222(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24400, 15120, 24397])).
% 49.89/32.83 tff(24402,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB169)) | (~v88(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB169)) | (~v88(constB169, 1)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24403,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB169)) | (~v88(constB169, 1)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24404,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB169)) | (~v88(constB169, 1))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24403, 24402])).
% 49.89/32.83 tff(24405,plain,
% 49.89/32.83 (~v139(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24404, 15131, 24363])).
% 49.89/32.83 tff(24406,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB169)) | (~v88(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB169)) | (~v88(constB169, 1)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24407,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB169)) | (~v88(constB169, 1)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24408,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB169)) | (~v88(constB169, 1))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24407, 24406])).
% 49.89/32.83 tff(24409,plain,
% 49.89/32.83 (~v140(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24408, 15142, 24363])).
% 49.89/32.83 tff(24410,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v200(constB169)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB169) | v140(constB169) | (~v200(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24411,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v200(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24412,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB169) | v140(constB169) | (~v200(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24411, 24410])).
% 49.89/32.83 tff(24413,plain,
% 49.89/32.83 (~v200(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24412, 15156, 24409, 24405])).
% 49.89/32.83 tff(24414,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB169)) | (~v88(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB169)) | (~v88(constB169, 2)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24415,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB169)) | (~v88(constB169, 2)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24416,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB169)) | (~v88(constB169, 2))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 49.89/32.83 tff(24417,plain,
% 49.89/32.83 (~v141(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24416, 15167, 24359])).
% 49.89/32.83 tff(24418,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB169) | v200(constB169) | (~v166(constB169)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB169) | v200(constB169) | (~v166(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24419,plain,
% 49.89/32.83 ((v141(constB169) | (~v166(constB169)) | v200(constB169)) <=> (v141(constB169) | v200(constB169) | (~v166(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24420,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB169) | (~v166(constB169)) | v200(constB169))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB169) | v200(constB169) | (~v166(constB169))))),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24419])).
% 49.89/32.83 tff(24421,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB169) | (~v166(constB169)) | v200(constB169))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB169) | v200(constB169) | (~v166(constB169)))),
% 49.89/32.83 inference(transitivity,[status(thm)],[24420, 24418])).
% 49.89/32.83 tff(24422,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB169) | (~v166(constB169)) | v200(constB169))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24423,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB169) | v200(constB169) | (~v166(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24422, 24421])).
% 49.89/32.83 tff(24424,plain,
% 49.89/32.83 (~v166(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24423, 15181, 24417, 24413])).
% 49.89/32.83 tff(24425,plain,
% 49.89/32.83 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB169) | v166(constB169) | (~v197(constB169)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB169) | v166(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24426,plain,
% 49.89/32.83 (((~v197(constB169)) | v166(constB169) | v241(constB169)) <=> (v241(constB169) | v166(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24427,plain,
% 49.89/32.83 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB169)) | v166(constB169) | v241(constB169))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB169) | v166(constB169) | (~v197(constB169))))),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24426])).
% 49.89/32.83 tff(24428,plain,
% 49.89/32.83 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB169)) | v166(constB169) | v241(constB169))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB169) | v166(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(transitivity,[status(thm)],[24427, 24425])).
% 49.89/32.83 tff(24429,plain,
% 49.89/32.83 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB169)) | v166(constB169) | v241(constB169))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24430,plain,
% 49.89/32.83 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB169) | v166(constB169) | (~v197(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24429, 24428])).
% 49.89/32.83 tff(24431,plain,
% 49.89/32.83 (v241(constB169) | (~v197(constB169))),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24430, 15198, 24424])).
% 49.89/32.83 tff(24432,plain,
% 49.89/32.83 (v241(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24431, 24386])).
% 49.89/32.83 tff(24433,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB169)) | (~v223(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB169)) | (~v223(constB169, 2)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24434,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB169)) | (~v223(constB169, 2)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24435,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB169)) | (~v223(constB169, 2))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 49.89/32.83 tff(24436,plain,
% 49.89/32.83 (~v223(constB169, 2)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24435, 15216, 24432])).
% 49.89/32.83 tff(24437,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB169)) | v223(constB169, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB169)) | v223(constB169, 2))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24438,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB169)) | v223(constB169, 2))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24439,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB169)) | v223(constB169, 2)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24438, 24437])).
% 49.89/32.83 tff(24440,plain,
% 49.89/32.83 (~v224(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24439, 15227, 24436])).
% 49.89/32.83 tff(24441,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB169) | v224(constB169) | (~v236(constB169)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB169) | v224(constB169) | (~v236(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24442,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB169) | v224(constB169) | (~v236(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24443,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB169) | v224(constB169) | (~v236(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24442, 24441])).
% 49.89/32.83 tff(24444,plain,
% 49.89/32.83 (~v236(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24443, 15241, 24440, 24401])).
% 49.89/32.83 tff(24445,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB169) | (~v232(constB169)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB169) | (~v232(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24446,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB169) | (~v232(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24447,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB169) | (~v232(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24446, 24445])).
% 49.89/32.83 tff(24448,plain,
% 49.89/32.83 (~v232(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24447, 15255, 24444])).
% 49.89/32.83 tff(24449,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v148(constB169)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB169) | v140(constB169) | (~v148(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24450,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v148(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24451,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB169) | v140(constB169) | (~v148(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 49.89/32.83 tff(24452,plain,
% 49.89/32.83 (~v148(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24451, 15269, 24409, 24405])).
% 49.89/32.83 tff(24453,plain,
% 49.89/32.83 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB169) | v252(constB169) | (~v197(constB169)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB169) | v252(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24454,plain,
% 49.89/32.83 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB169) | v252(constB169) | (~v197(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24455,plain,
% 49.89/32.83 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB169) | v252(constB169) | (~v197(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24454, 24453])).
% 49.89/32.83 tff(24456,plain,
% 49.89/32.83 (v252(constB169) | (~v197(constB169))),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24455, 15283, 24452])).
% 49.89/32.83 tff(24457,plain,
% 49.89/32.83 (v252(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24456, 24386])).
% 49.89/32.83 tff(24458,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB169)) | (~v223(constB169, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB169)) | (~v223(constB169, 3)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24459,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB169)) | (~v223(constB169, 3)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24460,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB169)) | (~v223(constB169, 3))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24459, 24458])).
% 49.89/32.83 tff(24461,plain,
% 49.89/32.83 (~v223(constB169, 3)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24460, 15298, 24457])).
% 49.89/32.83 tff(24462,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB169)) | v223(constB169, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB169)) | v223(constB169, 3))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24463,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB169)) | v223(constB169, 3))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24464,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB169)) | v223(constB169, 3)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24463, 24462])).
% 49.89/32.83 tff(24465,plain,
% 49.89/32.83 (~v237(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24464, 15309, 24461])).
% 49.89/32.83 tff(24466,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB169) | v237(constB169) | (~v248(constB169)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB169) | v237(constB169) | (~v248(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24467,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB169) | v237(constB169) | (~v248(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24468,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB169) | v237(constB169) | (~v248(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24467, 24466])).
% 49.89/32.83 tff(24469,plain,
% 49.89/32.83 (v232(constB169) | (~v248(constB169))),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24468, 15323, 24465])).
% 49.89/32.83 tff(24470,plain,
% 49.89/32.83 (~v248(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24469, 24448])).
% 49.89/32.83 tff(24471,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB169) | (~v244(constB169)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB169) | (~v244(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24472,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB169) | (~v244(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24473,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB169) | (~v244(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24472, 24471])).
% 49.89/32.83 tff(24474,plain,
% 49.89/32.83 (~v244(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24473, 15338, 24470])).
% 49.89/32.83 tff(24475,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB169) | (~v216(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB169) | (~v216(constB169, 1)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24476,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB169) | (~v216(constB169, 1)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24477,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB169) | (~v216(constB169, 1))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24476, 24475])).
% 49.89/32.83 tff(24478,plain,
% 49.89/32.83 (~v216(constB169, 1)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24477, 15352, 24474])).
% 49.89/32.83 tff(24479,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB169)) | v216(constB169, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB169)) | v216(constB169, 1))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24480,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB169)) | v216(constB169, 1))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24481,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB169)) | v216(constB169, 1)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24480, 24479])).
% 49.89/32.83 tff(24482,plain,
% 49.89/32.83 (~v254(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24481, 15363, 24478])).
% 49.89/32.83 tff(24483,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB169) | (~v221(constB169)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB169) | (~v221(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24484,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB169) | (~v221(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24485,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB169) | (~v221(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24484, 24483])).
% 49.89/32.83 tff(24486,plain,
% 49.89/32.83 (~v221(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24485, 15377, 24440])).
% 49.89/32.83 tff(24487,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB169) | (~v231(constB169)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB169) | (~v231(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24488,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB169) | (~v231(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24489,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB169) | (~v231(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24488, 24487])).
% 49.89/32.83 tff(24490,plain,
% 49.89/32.83 (~v231(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24489, 15391, 24465])).
% 49.89/32.83 tff(24491,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB169) | v231(constB169) | (~v243(constB169)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB169) | v231(constB169) | (~v243(constB169)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24492,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB169) | v231(constB169) | (~v243(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24493,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB169) | v231(constB169) | (~v243(constB169))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 49.89/32.83 tff(24494,plain,
% 49.89/32.83 (~v243(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24493, 15405, 24490, 24486])).
% 49.89/32.83 tff(24495,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB169) | v255(constB169))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB169) | v255(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24496,plain,
% 49.89/32.83 ((v255(constB169) | v243(constB169)) <=> (v243(constB169) | v255(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24497,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB169) | v243(constB169))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB169) | v255(constB169)))),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24496])).
% 49.89/32.83 tff(24498,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB169) | v243(constB169))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB169) | v255(constB169))),
% 49.89/32.83 inference(transitivity,[status(thm)],[24497, 24495])).
% 49.89/32.83 tff(24499,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB169) | v243(constB169))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24500,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB169) | v255(constB169)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24499, 24498])).
% 49.89/32.83 tff(24501,plain,
% 49.89/32.83 (v255(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24500, 15416, 24494])).
% 49.89/32.83 tff(24502,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB169)) | (~v216(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB169)) | (~v216(constB169, 2)))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24503,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB169)) | (~v216(constB169, 2)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24504,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB169)) | (~v216(constB169, 2))),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24503, 24502])).
% 49.89/32.83 tff(24505,plain,
% 49.89/32.83 (~v216(constB169, 2)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24504, 15433, 24501])).
% 49.89/32.83 tff(24506,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB169)) | v216(constB169, 2) | v254(constB169))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB169)) | v216(constB169, 2) | v254(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24507,plain,
% 49.89/32.83 ((v216(constB169, 2) | v254(constB169) | (~v215(constB169))) <=> ((~v215(constB169)) | v216(constB169, 2) | v254(constB169))),
% 49.89/32.83 inference(rewrite,[status(thm)],[])).
% 49.89/32.83 tff(24508,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB169, 2) | v254(constB169) | (~v215(constB169)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB169)) | v216(constB169, 2) | v254(constB169)))),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24507])).
% 49.89/32.83 tff(24509,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB169, 2) | v254(constB169) | (~v215(constB169)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB169)) | v216(constB169, 2) | v254(constB169))),
% 49.89/32.83 inference(transitivity,[status(thm)],[24508, 24506])).
% 49.89/32.83 tff(24510,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB169, 2) | v254(constB169) | (~v215(constB169)))),
% 49.89/32.83 inference(quant_inst,[status(thm)],[])).
% 49.89/32.83 tff(24511,plain,
% 49.89/32.83 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB169)) | v216(constB169, 2) | v254(constB169)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 49.89/32.83 tff(24512,plain,
% 49.89/32.83 ((~v215(constB169)) | v254(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24511, 15447, 24505])).
% 49.89/32.83 tff(24513,plain,
% 49.89/32.83 (~v215(constB169)),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24512, 24482])).
% 49.89/32.83 tff(24514,plain,
% 49.89/32.83 ($false),
% 49.89/32.83 inference(unit_resolution,[status(thm)],[24513, 24351])).
% 49.89/32.83 tff(24515,plain,(~(constB169 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.89/32.83 tff(24516,assumption,(constB61 = sK_VarCurr), introduced(assumption)).
% 49.89/32.83 tff(24517,plain,
% 49.89/32.83 (v215(constB61) <=> v215(sK_VarCurr)),
% 49.89/32.83 inference(monotonicity,[status(thm)],[24516])).
% 49.89/32.83 tff(24518,plain,
% 49.89/32.83 (v215(sK_VarCurr) <=> v215(constB61)),
% 49.89/32.83 inference(symmetry,[status(thm)],[24517])).
% 49.89/32.83 tff(24519,plain,
% 49.89/32.83 (v215(constB61)),
% 49.89/32.83 inference(modus_ponens,[status(thm)],[34, 24518])).
% 49.89/32.83 tff(24520,plain,
% 49.89/32.83 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB61, 0)) | v90(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB61, 0)) | v90(constB61, 0))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24521,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB61, 0)) | v90(constB61, 0))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24522,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB61, 0)) | v90(constB61, 0)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 49.89/32.84 tff(24523,plain,
% 49.89/32.84 (~v88(constB61, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24522, 14930, 7560])).
% 49.89/32.84 tff(24524,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB61, 2)) | v88(constB61, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB61, 2)) | v88(constB61, 2))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24525,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB61, 2)) | v88(constB61, 2))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24526,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB61, 2)) | v88(constB61, 2)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 49.89/32.84 tff(24527,plain,
% 49.89/32.84 (v88(constB61, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24526, 14972, 7447])).
% 49.89/32.84 tff(24528,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB61, 1)) | v88(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB61, 1)) | v88(constB61, 1))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24529,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB61, 1)) | v88(constB61, 1))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24530,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB61, 1)) | v88(constB61, 1)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24529, 24528])).
% 49.89/32.84 tff(24531,plain,
% 49.89/32.84 (v88(constB61, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24530, 15014, 7486])).
% 49.89/32.84 tff(24532,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB61, 0) | v144(constB61) | (~v88(constB61, 1)) | (~v88(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB61, 0) | v144(constB61) | (~v88(constB61, 1)) | (~v88(constB61, 2)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24533,plain,
% 49.89/32.84 (((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61)) <=> (v88(constB61, 0) | v144(constB61) | (~v88(constB61, 1)) | (~v88(constB61, 2)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24534,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB61, 0) | v144(constB61) | (~v88(constB61, 1)) | (~v88(constB61, 2))))),
% 49.89/32.84 inference(monotonicity,[status(thm)],[24533])).
% 49.89/32.84 tff(24535,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB61, 0) | v144(constB61) | (~v88(constB61, 1)) | (~v88(constB61, 2)))),
% 49.89/32.84 inference(transitivity,[status(thm)],[24534, 24532])).
% 49.89/32.84 tff(24536,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24537,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB61, 0) | v144(constB61) | (~v88(constB61, 1)) | (~v88(constB61, 2))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 49.89/32.84 tff(24538,plain,
% 49.89/32.84 (v144(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24537, 15028, 24531, 24527, 24523])).
% 49.89/32.84 tff(24539,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB61)) | v142(constB61))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB61)) | v142(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24540,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB61)) | v142(constB61))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24541,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB61)) | v142(constB61)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 49.89/32.84 tff(24542,plain,
% 49.89/32.84 (v142(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24541, 15042, 24538])).
% 49.89/32.84 tff(24543,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB61)) | v198(constB61))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB61)) | v198(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24544,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB61)) | v198(constB61))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24545,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB61)) | v198(constB61)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 49.89/32.84 tff(24546,plain,
% 49.89/32.84 (v198(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24545, 15053, 24542])).
% 49.89/32.84 tff(24547,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB61)) | (~v201(constB61)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB61)) | (~v201(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24548,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB61)) | (~v201(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24549,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB61)) | (~v201(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24548, 24547])).
% 49.89/32.84 tff(24550,plain,
% 49.89/32.84 (~v201(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24549, 15064, 24546])).
% 49.89/32.84 tff(24551,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB61) | (~v198(constB61)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB61) | (~v198(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24552,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB61) | (~v198(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24553,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB61) | (~v198(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 49.89/32.84 tff(24554,plain,
% 49.89/32.84 (v197(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24553, 15078, 24546])).
% 49.89/32.84 tff(24555,plain,
% 49.89/32.84 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB61) | (~v197(constB61)) | v201(constB61))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB61) | (~v197(constB61)) | v201(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24556,plain,
% 49.89/32.84 (((~v197(constB61)) | v201(constB61) | v227(constB61)) <=> (v227(constB61) | (~v197(constB61)) | v201(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24557,plain,
% 49.89/32.84 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB61)) | v201(constB61) | v227(constB61))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB61) | (~v197(constB61)) | v201(constB61)))),
% 49.89/32.84 inference(monotonicity,[status(thm)],[24556])).
% 49.89/32.84 tff(24558,plain,
% 49.89/32.84 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB61)) | v201(constB61) | v227(constB61))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB61) | (~v197(constB61)) | v201(constB61))),
% 49.89/32.84 inference(transitivity,[status(thm)],[24557, 24555])).
% 49.89/32.84 tff(24559,plain,
% 49.89/32.84 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB61)) | v201(constB61) | v227(constB61))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24560,plain,
% 49.89/32.84 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB61) | (~v197(constB61)) | v201(constB61)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24559, 24558])).
% 49.89/32.84 tff(24561,plain,
% 49.89/32.84 (v227(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24560, 15092, 24554, 24550])).
% 49.89/32.84 tff(24562,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB61)) | (~v223(constB61, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB61)) | (~v223(constB61, 0)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24563,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB61)) | (~v223(constB61, 0)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24564,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB61)) | (~v223(constB61, 0))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24563, 24562])).
% 49.89/32.84 tff(24565,plain,
% 49.89/32.84 (~v223(constB61, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24564, 15109, 24561])).
% 49.89/32.84 tff(24566,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB61)) | v223(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB61)) | v223(constB61, 0))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24567,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB61)) | v223(constB61, 0))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24568,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB61)) | v223(constB61, 0)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24567, 24566])).
% 49.89/32.84 tff(24569,plain,
% 49.89/32.84 (~v222(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24568, 15120, 24565])).
% 49.89/32.84 tff(24570,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB61)) | (~v88(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB61)) | (~v88(constB61, 1)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24571,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB61)) | (~v88(constB61, 1)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24572,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB61)) | (~v88(constB61, 1))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24571, 24570])).
% 49.89/32.84 tff(24573,plain,
% 49.89/32.84 (~v139(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24572, 15131, 24531])).
% 49.89/32.84 tff(24574,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB61)) | (~v88(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB61)) | (~v88(constB61, 1)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24575,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB61)) | (~v88(constB61, 1)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24576,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB61)) | (~v88(constB61, 1))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24575, 24574])).
% 49.89/32.84 tff(24577,plain,
% 49.89/32.84 (~v140(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24576, 15142, 24531])).
% 49.89/32.84 tff(24578,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v200(constB61)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB61) | v140(constB61) | (~v200(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24579,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v200(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24580,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB61) | v140(constB61) | (~v200(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24579, 24578])).
% 49.89/32.84 tff(24581,plain,
% 49.89/32.84 (~v200(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24580, 15156, 24577, 24573])).
% 49.89/32.84 tff(24582,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB61)) | (~v88(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB61)) | (~v88(constB61, 2)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24583,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB61)) | (~v88(constB61, 2)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24584,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB61)) | (~v88(constB61, 2))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 49.89/32.84 tff(24585,plain,
% 49.89/32.84 (~v141(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24584, 15167, 24527])).
% 49.89/32.84 tff(24586,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB61) | v200(constB61) | (~v166(constB61)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB61) | v200(constB61) | (~v166(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24587,plain,
% 49.89/32.84 ((v141(constB61) | (~v166(constB61)) | v200(constB61)) <=> (v141(constB61) | v200(constB61) | (~v166(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24588,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB61) | (~v166(constB61)) | v200(constB61))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB61) | v200(constB61) | (~v166(constB61))))),
% 49.89/32.84 inference(monotonicity,[status(thm)],[24587])).
% 49.89/32.84 tff(24589,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB61) | (~v166(constB61)) | v200(constB61))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB61) | v200(constB61) | (~v166(constB61)))),
% 49.89/32.84 inference(transitivity,[status(thm)],[24588, 24586])).
% 49.89/32.84 tff(24590,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB61) | (~v166(constB61)) | v200(constB61))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24591,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB61) | v200(constB61) | (~v166(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24590, 24589])).
% 49.89/32.84 tff(24592,plain,
% 49.89/32.84 (~v166(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24591, 15181, 24585, 24581])).
% 49.89/32.84 tff(24593,plain,
% 49.89/32.84 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB61) | (~v197(constB61)) | v166(constB61))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB61) | (~v197(constB61)) | v166(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24594,plain,
% 49.89/32.84 (((~v197(constB61)) | v166(constB61) | v241(constB61)) <=> (v241(constB61) | (~v197(constB61)) | v166(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24595,plain,
% 49.89/32.84 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB61)) | v166(constB61) | v241(constB61))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB61) | (~v197(constB61)) | v166(constB61)))),
% 49.89/32.84 inference(monotonicity,[status(thm)],[24594])).
% 49.89/32.84 tff(24596,plain,
% 49.89/32.84 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB61)) | v166(constB61) | v241(constB61))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB61) | (~v197(constB61)) | v166(constB61))),
% 49.89/32.84 inference(transitivity,[status(thm)],[24595, 24593])).
% 49.89/32.84 tff(24597,plain,
% 49.89/32.84 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB61)) | v166(constB61) | v241(constB61))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24598,plain,
% 49.89/32.84 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB61) | (~v197(constB61)) | v166(constB61)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 49.89/32.84 tff(24599,plain,
% 49.89/32.84 (v241(constB61) | (~v197(constB61))),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24598, 15198, 24592])).
% 49.89/32.84 tff(24600,plain,
% 49.89/32.84 (v241(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24599, 24554])).
% 49.89/32.84 tff(24601,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB61)) | (~v223(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB61)) | (~v223(constB61, 2)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24602,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB61)) | (~v223(constB61, 2)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24603,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB61)) | (~v223(constB61, 2))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24602, 24601])).
% 49.89/32.84 tff(24604,plain,
% 49.89/32.84 (~v223(constB61, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24603, 15216, 24600])).
% 49.89/32.84 tff(24605,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB61)) | v223(constB61, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB61)) | v223(constB61, 2))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24606,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB61)) | v223(constB61, 2))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24607,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB61)) | v223(constB61, 2)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24606, 24605])).
% 49.89/32.84 tff(24608,plain,
% 49.89/32.84 (~v224(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24607, 15227, 24604])).
% 49.89/32.84 tff(24609,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB61) | v224(constB61) | (~v236(constB61)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB61) | v224(constB61) | (~v236(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24610,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB61) | v224(constB61) | (~v236(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24611,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB61) | v224(constB61) | (~v236(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24610, 24609])).
% 49.89/32.84 tff(24612,plain,
% 49.89/32.84 (~v236(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24611, 15241, 24608, 24569])).
% 49.89/32.84 tff(24613,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB61) | (~v232(constB61)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB61) | (~v232(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24614,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB61) | (~v232(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24615,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB61) | (~v232(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 49.89/32.84 tff(24616,plain,
% 49.89/32.84 (~v232(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24615, 15255, 24612])).
% 49.89/32.84 tff(24617,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v148(constB61)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB61) | v140(constB61) | (~v148(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24618,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v148(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24619,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB61) | v140(constB61) | (~v148(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 49.89/32.84 tff(24620,plain,
% 49.89/32.84 (~v148(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24619, 15269, 24577, 24573])).
% 49.89/32.84 tff(24621,plain,
% 49.89/32.84 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB61) | v252(constB61) | (~v197(constB61)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB61) | v252(constB61) | (~v197(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24622,plain,
% 49.89/32.84 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB61) | v252(constB61) | (~v197(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24623,plain,
% 49.89/32.84 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB61) | v252(constB61) | (~v197(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24622, 24621])).
% 49.89/32.84 tff(24624,plain,
% 49.89/32.84 (v252(constB61) | (~v197(constB61))),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24623, 15283, 24620])).
% 49.89/32.84 tff(24625,plain,
% 49.89/32.84 (v252(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24624, 24554])).
% 49.89/32.84 tff(24626,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB61)) | (~v223(constB61, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB61)) | (~v223(constB61, 3)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24627,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB61)) | (~v223(constB61, 3)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24628,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB61)) | (~v223(constB61, 3))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 49.89/32.84 tff(24629,plain,
% 49.89/32.84 (~v223(constB61, 3)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24628, 15298, 24625])).
% 49.89/32.84 tff(24630,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB61)) | v223(constB61, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB61)) | v223(constB61, 3))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24631,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB61)) | v223(constB61, 3))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24632,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB61)) | v223(constB61, 3)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24631, 24630])).
% 49.89/32.84 tff(24633,plain,
% 49.89/32.84 (~v237(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24632, 15309, 24629])).
% 49.89/32.84 tff(24634,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB61) | v237(constB61) | (~v248(constB61)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB61) | v237(constB61) | (~v248(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24635,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB61) | v237(constB61) | (~v248(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24636,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB61) | v237(constB61) | (~v248(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24635, 24634])).
% 49.89/32.84 tff(24637,plain,
% 49.89/32.84 (v232(constB61) | (~v248(constB61))),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24636, 15323, 24633])).
% 49.89/32.84 tff(24638,plain,
% 49.89/32.84 (~v248(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24637, 24616])).
% 49.89/32.84 tff(24639,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB61) | (~v244(constB61)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB61) | (~v244(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24640,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB61) | (~v244(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24641,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB61) | (~v244(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 49.89/32.84 tff(24642,plain,
% 49.89/32.84 (~v244(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24641, 15338, 24638])).
% 49.89/32.84 tff(24643,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB61) | (~v216(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB61) | (~v216(constB61, 1)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24644,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB61) | (~v216(constB61, 1)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24645,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB61) | (~v216(constB61, 1))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 49.89/32.84 tff(24646,plain,
% 49.89/32.84 (~v216(constB61, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24645, 15352, 24642])).
% 49.89/32.84 tff(24647,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB61)) | v216(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB61)) | v216(constB61, 1))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24648,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB61)) | v216(constB61, 1))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24649,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB61)) | v216(constB61, 1)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24648, 24647])).
% 49.89/32.84 tff(24650,plain,
% 49.89/32.84 (~v254(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24649, 15363, 24646])).
% 49.89/32.84 tff(24651,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB61) | (~v221(constB61)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB61) | (~v221(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24652,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB61) | (~v221(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24653,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB61) | (~v221(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24652, 24651])).
% 49.89/32.84 tff(24654,plain,
% 49.89/32.84 (~v221(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24653, 15377, 24608])).
% 49.89/32.84 tff(24655,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB61) | (~v231(constB61)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB61) | (~v231(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24656,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB61) | (~v231(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24657,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB61) | (~v231(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 49.89/32.84 tff(24658,plain,
% 49.89/32.84 (~v231(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24657, 15391, 24633])).
% 49.89/32.84 tff(24659,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB61) | v231(constB61) | (~v243(constB61)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB61) | v231(constB61) | (~v243(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24660,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB61) | v231(constB61) | (~v243(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24661,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB61) | v231(constB61) | (~v243(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24660, 24659])).
% 49.89/32.84 tff(24662,plain,
% 49.89/32.84 (~v243(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24661, 15405, 24658, 24654])).
% 49.89/32.84 tff(24663,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB61) | v255(constB61))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB61) | v255(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24664,plain,
% 49.89/32.84 ((v255(constB61) | v243(constB61)) <=> (v243(constB61) | v255(constB61))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24665,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB61) | v243(constB61))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB61) | v255(constB61)))),
% 49.89/32.84 inference(monotonicity,[status(thm)],[24664])).
% 49.89/32.84 tff(24666,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB61) | v243(constB61))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB61) | v255(constB61))),
% 49.89/32.84 inference(transitivity,[status(thm)],[24665, 24663])).
% 49.89/32.84 tff(24667,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB61) | v243(constB61))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24668,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB61) | v255(constB61)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 49.89/32.84 tff(24669,plain,
% 49.89/32.84 (v255(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24668, 15416, 24662])).
% 49.89/32.84 tff(24670,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB61)) | (~v216(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB61)) | (~v216(constB61, 2)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24671,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB61)) | (~v216(constB61, 2)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24672,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB61)) | (~v216(constB61, 2))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24671, 24670])).
% 49.89/32.84 tff(24673,plain,
% 49.89/32.84 (~v216(constB61, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24672, 15433, 24669])).
% 49.89/32.84 tff(24674,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB61, 2) | v254(constB61) | (~v215(constB61)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB61, 2) | v254(constB61) | (~v215(constB61)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24675,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB61, 2) | v254(constB61) | (~v215(constB61)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24676,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB61, 2) | v254(constB61) | (~v215(constB61))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 49.89/32.84 tff(24677,plain,
% 49.89/32.84 (v254(constB61) | (~v215(constB61))),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24676, 15447, 24673])).
% 49.89/32.84 tff(24678,plain,
% 49.89/32.84 (~v215(constB61)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24677, 24650])).
% 49.89/32.84 tff(24679,plain,
% 49.89/32.84 ($false),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24678, 24519])).
% 49.89/32.84 tff(24680,plain,(~(constB61 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.89/32.84 tff(24681,assumption,(constB109 = sK_VarCurr), introduced(assumption)).
% 49.89/32.84 tff(24682,plain,
% 49.89/32.84 (v215(constB109) <=> v215(sK_VarCurr)),
% 49.89/32.84 inference(monotonicity,[status(thm)],[24681])).
% 49.89/32.84 tff(24683,plain,
% 49.89/32.84 (v215(sK_VarCurr) <=> v215(constB109)),
% 49.89/32.84 inference(symmetry,[status(thm)],[24682])).
% 49.89/32.84 tff(24684,plain,
% 49.89/32.84 (v215(constB109)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[34, 24683])).
% 49.89/32.84 tff(24685,plain,
% 49.89/32.84 (v114(constB107)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13526, 1775, 13519])).
% 49.89/32.84 tff(24686,plain,
% 49.89/32.84 (v113(constB107)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13533, 266, 24685])).
% 49.89/32.84 tff(24687,plain,
% 49.89/32.84 (v108(constB107)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13559, 24686])).
% 49.89/32.84 tff(24688,plain,
% 49.89/32.84 (v110(constB108)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13570, 24687])).
% 49.89/32.84 tff(24689,plain,
% 49.89/32.84 (v100(constB108)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13596, 24688])).
% 49.89/32.84 tff(24690,plain,
% 49.89/32.84 (~v130(constB107, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13684, 1909, 13519])).
% 49.89/32.84 tff(24691,plain,
% 49.89/32.84 (~v127(constB107, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13692, 24690])).
% 49.89/32.84 tff(24692,plain,
% 49.89/32.84 (~v129(constB108, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13697, 24691])).
% 49.89/32.84 tff(24693,plain,
% 49.89/32.84 ((~v90(constB108, 0)) | (~v100(constB108))),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13704, 963, 24692])).
% 49.89/32.84 tff(24694,plain,
% 49.89/32.84 (~v90(constB108, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24693, 24689])).
% 49.89/32.84 tff(24695,plain,
% 49.89/32.84 (~v90(constB109, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13714, 24694])).
% 49.89/32.84 tff(24696,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB109, 0)) | v90(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB109, 0)) | v90(constB109, 0))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24697,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB109, 0)) | v90(constB109, 0))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24698,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB109, 0)) | v90(constB109, 0)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24697, 24696])).
% 49.89/32.84 tff(24699,plain,
% 49.89/32.84 (~v88(constB109, 0)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24698, 14930, 24695])).
% 49.89/32.84 tff(24700,plain,
% 49.89/32.84 (v130(constB107, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13600, 1729, 13519])).
% 49.89/32.84 tff(24701,plain,
% 49.89/32.84 (v127(constB107, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13609, 24700])).
% 49.89/32.84 tff(24702,plain,
% 49.89/32.84 (v129(constB108, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13614, 24701])).
% 49.89/32.84 tff(24703,plain,
% 49.89/32.84 (v90(constB108, 2) | (~v100(constB108))),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13621, 1358, 24702])).
% 49.89/32.84 tff(24704,plain,
% 49.89/32.84 (v90(constB108, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24703, 24689])).
% 49.89/32.84 tff(24705,plain,
% 49.89/32.84 (v90(constB109, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13649, 24704])).
% 49.89/32.84 tff(24706,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB109, 2)) | v88(constB109, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB109, 2)) | v88(constB109, 2))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24707,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB109, 2)) | v88(constB109, 2))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24708,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB109, 2)) | v88(constB109, 2)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24707, 24706])).
% 49.89/32.84 tff(24709,plain,
% 49.89/32.84 (v88(constB109, 2)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24708, 14972, 24705])).
% 49.89/32.84 tff(24710,plain,
% 49.89/32.84 (v130(constB107, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13653, 1871, 13519])).
% 49.89/32.84 tff(24711,plain,
% 49.89/32.84 (v127(constB107, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13658, 24710])).
% 49.89/32.84 tff(24712,plain,
% 49.89/32.84 (v129(constB108, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13663, 24711])).
% 49.89/32.84 tff(24713,plain,
% 49.89/32.84 (v90(constB108, 1) | (~v100(constB108))),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13670, 882, 24712])).
% 49.89/32.84 tff(24714,plain,
% 49.89/32.84 (v90(constB108, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24713, 24689])).
% 49.89/32.84 tff(24715,plain,
% 49.89/32.84 (v90(constB109, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[13680, 24714])).
% 49.89/32.84 tff(24716,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB109, 1)) | v88(constB109, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB109, 1)) | v88(constB109, 1))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24717,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB109, 1)) | v88(constB109, 1))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24718,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB109, 1)) | v88(constB109, 1)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24717, 24716])).
% 49.89/32.84 tff(24719,plain,
% 49.89/32.84 (v88(constB109, 1)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24718, 15014, 24715])).
% 49.89/32.84 tff(24720,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24721,plain,
% 49.89/32.84 (((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109)) <=> ((~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24722,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109)))),
% 49.89/32.84 inference(monotonicity,[status(thm)],[24721])).
% 49.89/32.84 tff(24723,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))),
% 49.89/32.84 inference(transitivity,[status(thm)],[24722, 24720])).
% 49.89/32.84 tff(24724,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24725,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24724, 24723])).
% 49.89/32.84 tff(24726,plain,
% 49.89/32.84 (v144(constB109)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24725, 15028, 24719, 24709, 24699])).
% 49.89/32.84 tff(24727,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24728,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24729,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24728, 24727])).
% 49.89/32.84 tff(24730,plain,
% 49.89/32.84 (v142(constB109)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24729, 15042, 24726])).
% 49.89/32.84 tff(24731,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB109)) | v198(constB109))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB109)) | v198(constB109))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24732,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB109)) | v198(constB109))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24733,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB109)) | v198(constB109)),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24732, 24731])).
% 49.89/32.84 tff(24734,plain,
% 49.89/32.84 (v198(constB109)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24733, 15053, 24730])).
% 49.89/32.84 tff(24735,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB109)) | (~v201(constB109)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB109)) | (~v201(constB109)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24736,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB109)) | (~v201(constB109)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24737,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB109)) | (~v201(constB109))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24736, 24735])).
% 49.89/32.84 tff(24738,plain,
% 49.89/32.84 (~v201(constB109)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24737, 15064, 24734])).
% 49.89/32.84 tff(24739,plain,
% 49.89/32.84 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB109) | (~v198(constB109)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB109) | (~v198(constB109)))),
% 49.89/32.84 inference(rewrite,[status(thm)],[])).
% 49.89/32.84 tff(24740,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB109) | (~v198(constB109)))),
% 49.89/32.84 inference(quant_inst,[status(thm)],[])).
% 49.89/32.84 tff(24741,plain,
% 49.89/32.84 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB109) | (~v198(constB109))),
% 49.89/32.84 inference(modus_ponens,[status(thm)],[24740, 24739])).
% 49.89/32.84 tff(24742,plain,
% 49.89/32.84 (v197(constB109)),
% 49.89/32.84 inference(unit_resolution,[status(thm)],[24741, 15078, 24734])).
% 49.89/32.84 tff(24743,plain,
% 49.89/32.84 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB109) | v201(constB109) | (~v197(constB109)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB109) | v201(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24744,plain,
% 49.89/32.85 (((~v197(constB109)) | v201(constB109) | v227(constB109)) <=> (v227(constB109) | v201(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24745,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB109)) | v201(constB109) | v227(constB109))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB109) | v201(constB109) | (~v197(constB109))))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24744])).
% 49.89/32.85 tff(24746,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB109)) | v201(constB109) | v227(constB109))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB109) | v201(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24745, 24743])).
% 49.89/32.85 tff(24747,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB109)) | v201(constB109) | v227(constB109))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24748,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB109) | v201(constB109) | (~v197(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 49.89/32.85 tff(24749,plain,
% 49.89/32.85 (v227(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24748, 15092, 24742, 24738])).
% 49.89/32.85 tff(24750,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB109)) | (~v223(constB109, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB109)) | (~v223(constB109, 0)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24751,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB109)) | (~v223(constB109, 0)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24752,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB109)) | (~v223(constB109, 0))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24751, 24750])).
% 49.89/32.85 tff(24753,plain,
% 49.89/32.85 (~v223(constB109, 0)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24752, 15109, 24749])).
% 49.89/32.85 tff(24754,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB109)) | v223(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB109)) | v223(constB109, 0))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24755,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB109)) | v223(constB109, 0))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24756,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB109)) | v223(constB109, 0)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24755, 24754])).
% 49.89/32.85 tff(24757,plain,
% 49.89/32.85 (~v222(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24756, 15120, 24753])).
% 49.89/32.85 tff(24758,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB109)) | (~v88(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB109)) | (~v88(constB109, 1)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24759,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB109)) | (~v88(constB109, 1)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24760,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB109)) | (~v88(constB109, 1))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24759, 24758])).
% 49.89/32.85 tff(24761,plain,
% 49.89/32.85 (~v139(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24760, 15131, 24719])).
% 49.89/32.85 tff(24762,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB109)) | (~v88(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB109)) | (~v88(constB109, 1)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24763,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB109)) | (~v88(constB109, 1)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24764,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB109)) | (~v88(constB109, 1))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24763, 24762])).
% 49.89/32.85 tff(24765,plain,
% 49.89/32.85 (~v140(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24764, 15142, 24719])).
% 49.89/32.85 tff(24766,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v200(constB109)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB109) | v140(constB109) | (~v200(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24767,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v200(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24768,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB109) | v140(constB109) | (~v200(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24767, 24766])).
% 49.89/32.85 tff(24769,plain,
% 49.89/32.85 (~v200(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24768, 15156, 24765, 24761])).
% 49.89/32.85 tff(24770,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB109)) | (~v88(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB109)) | (~v88(constB109, 2)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24771,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB109)) | (~v88(constB109, 2)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24772,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB109)) | (~v88(constB109, 2))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 49.89/32.85 tff(24773,plain,
% 49.89/32.85 (~v141(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24772, 15167, 24709])).
% 49.89/32.85 tff(24774,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB109) | v200(constB109) | (~v166(constB109)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB109) | v200(constB109) | (~v166(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24775,plain,
% 49.89/32.85 ((v141(constB109) | (~v166(constB109)) | v200(constB109)) <=> (v141(constB109) | v200(constB109) | (~v166(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24776,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB109) | (~v166(constB109)) | v200(constB109))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB109) | v200(constB109) | (~v166(constB109))))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24775])).
% 49.89/32.85 tff(24777,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB109) | (~v166(constB109)) | v200(constB109))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB109) | v200(constB109) | (~v166(constB109)))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24776, 24774])).
% 49.89/32.85 tff(24778,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB109) | (~v166(constB109)) | v200(constB109))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24779,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB109) | v200(constB109) | (~v166(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 49.89/32.85 tff(24780,plain,
% 49.89/32.85 (~v166(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24779, 15181, 24773, 24769])).
% 49.89/32.85 tff(24781,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB109) | v166(constB109) | (~v197(constB109)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB109) | v166(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24782,plain,
% 49.89/32.85 (((~v197(constB109)) | v166(constB109) | v241(constB109)) <=> (v241(constB109) | v166(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24783,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB109)) | v166(constB109) | v241(constB109))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB109) | v166(constB109) | (~v197(constB109))))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24782])).
% 49.89/32.85 tff(24784,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB109)) | v166(constB109) | v241(constB109))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB109) | v166(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24783, 24781])).
% 49.89/32.85 tff(24785,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB109)) | v166(constB109) | v241(constB109))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24786,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB109) | v166(constB109) | (~v197(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24785, 24784])).
% 49.89/32.85 tff(24787,plain,
% 49.89/32.85 (v241(constB109) | (~v197(constB109))),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24786, 15198, 24780])).
% 49.89/32.85 tff(24788,plain,
% 49.89/32.85 (v241(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24787, 24742])).
% 49.89/32.85 tff(24789,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB109)) | (~v223(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB109)) | (~v223(constB109, 2)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24790,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB109)) | (~v223(constB109, 2)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24791,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB109)) | (~v223(constB109, 2))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24790, 24789])).
% 49.89/32.85 tff(24792,plain,
% 49.89/32.85 (~v223(constB109, 2)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24791, 15216, 24788])).
% 49.89/32.85 tff(24793,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB109)) | v223(constB109, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB109)) | v223(constB109, 2))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24794,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB109)) | v223(constB109, 2))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24795,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB109)) | v223(constB109, 2)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24794, 24793])).
% 49.89/32.85 tff(24796,plain,
% 49.89/32.85 (~v224(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24795, 15227, 24792])).
% 49.89/32.85 tff(24797,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB109) | v224(constB109) | (~v236(constB109)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB109) | v224(constB109) | (~v236(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24798,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB109) | v224(constB109) | (~v236(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24799,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB109) | v224(constB109) | (~v236(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24798, 24797])).
% 49.89/32.85 tff(24800,plain,
% 49.89/32.85 (~v236(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24799, 15241, 24796, 24757])).
% 49.89/32.85 tff(24801,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB109) | (~v232(constB109)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB109) | (~v232(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24802,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB109) | (~v232(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24803,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB109) | (~v232(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24802, 24801])).
% 49.89/32.85 tff(24804,plain,
% 49.89/32.85 (~v232(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24803, 15255, 24800])).
% 49.89/32.85 tff(24805,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v148(constB109)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB109) | v140(constB109) | (~v148(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24806,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v148(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24807,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB109) | v140(constB109) | (~v148(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24806, 24805])).
% 49.89/32.85 tff(24808,plain,
% 49.89/32.85 (~v148(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24807, 15269, 24765, 24761])).
% 49.89/32.85 tff(24809,plain,
% 49.89/32.85 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB109) | v252(constB109) | (~v197(constB109)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB109) | v252(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24810,plain,
% 49.89/32.85 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB109) | v252(constB109) | (~v197(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24811,plain,
% 49.89/32.85 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB109) | v252(constB109) | (~v197(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24810, 24809])).
% 49.89/32.85 tff(24812,plain,
% 49.89/32.85 (v252(constB109) | (~v197(constB109))),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24811, 15283, 24808])).
% 49.89/32.85 tff(24813,plain,
% 49.89/32.85 (v252(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24812, 24742])).
% 49.89/32.85 tff(24814,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB109)) | (~v223(constB109, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB109)) | (~v223(constB109, 3)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24815,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB109)) | (~v223(constB109, 3)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24816,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB109)) | (~v223(constB109, 3))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24815, 24814])).
% 49.89/32.85 tff(24817,plain,
% 49.89/32.85 (~v223(constB109, 3)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24816, 15298, 24813])).
% 49.89/32.85 tff(24818,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB109)) | v223(constB109, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB109)) | v223(constB109, 3))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24819,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB109)) | v223(constB109, 3))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24820,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB109)) | v223(constB109, 3)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24819, 24818])).
% 49.89/32.85 tff(24821,plain,
% 49.89/32.85 (~v237(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24820, 15309, 24817])).
% 49.89/32.85 tff(24822,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB109) | v237(constB109) | (~v248(constB109)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB109) | v237(constB109) | (~v248(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24823,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB109) | v237(constB109) | (~v248(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24824,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB109) | v237(constB109) | (~v248(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24823, 24822])).
% 49.89/32.85 tff(24825,plain,
% 49.89/32.85 (v232(constB109) | (~v248(constB109))),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24824, 15323, 24821])).
% 49.89/32.85 tff(24826,plain,
% 49.89/32.85 (~v248(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24825, 24804])).
% 49.89/32.85 tff(24827,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB109) | (~v244(constB109)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB109) | (~v244(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24828,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB109) | (~v244(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24829,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB109) | (~v244(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24828, 24827])).
% 49.89/32.85 tff(24830,plain,
% 49.89/32.85 (~v244(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24829, 15338, 24826])).
% 49.89/32.85 tff(24831,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB109) | (~v216(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB109) | (~v216(constB109, 1)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24832,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB109) | (~v216(constB109, 1)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24833,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB109) | (~v216(constB109, 1))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24832, 24831])).
% 49.89/32.85 tff(24834,plain,
% 49.89/32.85 (~v216(constB109, 1)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24833, 15352, 24830])).
% 49.89/32.85 tff(24835,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB109)) | v216(constB109, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB109)) | v216(constB109, 1))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24836,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB109)) | v216(constB109, 1))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24837,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB109)) | v216(constB109, 1)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24836, 24835])).
% 49.89/32.85 tff(24838,plain,
% 49.89/32.85 (~v254(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24837, 15363, 24834])).
% 49.89/32.85 tff(24839,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB109) | (~v221(constB109)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB109) | (~v221(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24840,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB109) | (~v221(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24841,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB109) | (~v221(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24840, 24839])).
% 49.89/32.85 tff(24842,plain,
% 49.89/32.85 (~v221(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24841, 15377, 24796])).
% 49.89/32.85 tff(24843,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB109) | (~v231(constB109)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB109) | (~v231(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24844,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB109) | (~v231(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24845,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB109) | (~v231(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24844, 24843])).
% 49.89/32.85 tff(24846,plain,
% 49.89/32.85 (~v231(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24845, 15391, 24821])).
% 49.89/32.85 tff(24847,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB109) | v231(constB109) | (~v243(constB109)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB109) | v231(constB109) | (~v243(constB109)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24848,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB109) | v231(constB109) | (~v243(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24849,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB109) | v231(constB109) | (~v243(constB109))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24848, 24847])).
% 49.89/32.85 tff(24850,plain,
% 49.89/32.85 (~v243(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24849, 15405, 24846, 24842])).
% 49.89/32.85 tff(24851,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB109) | v255(constB109))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB109) | v255(constB109))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24852,plain,
% 49.89/32.85 ((v255(constB109) | v243(constB109)) <=> (v243(constB109) | v255(constB109))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24853,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB109) | v243(constB109))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB109) | v255(constB109)))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24852])).
% 49.89/32.85 tff(24854,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB109) | v243(constB109))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB109) | v255(constB109))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24853, 24851])).
% 49.89/32.85 tff(24855,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB109) | v243(constB109))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24856,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB109) | v255(constB109)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24855, 24854])).
% 49.89/32.85 tff(24857,plain,
% 49.89/32.85 (v255(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24856, 15416, 24850])).
% 49.89/32.85 tff(24858,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB109)) | (~v216(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB109)) | (~v216(constB109, 2)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24859,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB109)) | (~v216(constB109, 2)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24860,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB109)) | (~v216(constB109, 2))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24859, 24858])).
% 49.89/32.85 tff(24861,plain,
% 49.89/32.85 (~v216(constB109, 2)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24860, 15433, 24857])).
% 49.89/32.85 tff(24862,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB109, 2) | (~v215(constB109)) | v254(constB109))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB109, 2) | (~v215(constB109)) | v254(constB109))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24863,plain,
% 49.89/32.85 ((v216(constB109, 2) | v254(constB109) | (~v215(constB109))) <=> (v216(constB109, 2) | (~v215(constB109)) | v254(constB109))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24864,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB109, 2) | v254(constB109) | (~v215(constB109)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB109, 2) | (~v215(constB109)) | v254(constB109)))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24863])).
% 49.89/32.85 tff(24865,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB109, 2) | v254(constB109) | (~v215(constB109)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB109, 2) | (~v215(constB109)) | v254(constB109))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24864, 24862])).
% 49.89/32.85 tff(24866,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB109, 2) | v254(constB109) | (~v215(constB109)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24867,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB109, 2) | (~v215(constB109)) | v254(constB109)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 49.89/32.85 tff(24868,plain,
% 49.89/32.85 ((~v215(constB109)) | v254(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24867, 15447, 24861])).
% 49.89/32.85 tff(24869,plain,
% 49.89/32.85 (~v215(constB109)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24868, 24838])).
% 49.89/32.85 tff(24870,plain,
% 49.89/32.85 ($false),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24869, 24684])).
% 49.89/32.85 tff(24871,plain,(~(constB109 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.89/32.85 tff(24872,assumption,(constB25 = sK_VarCurr), introduced(assumption)).
% 49.89/32.85 tff(24873,plain,
% 49.89/32.85 (v215(constB25) <=> v215(sK_VarCurr)),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24872])).
% 49.89/32.85 tff(24874,plain,
% 49.89/32.85 (v215(sK_VarCurr) <=> v215(constB25)),
% 49.89/32.85 inference(symmetry,[status(thm)],[24873])).
% 49.89/32.85 tff(24875,plain,
% 49.89/32.85 (v215(constB25)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[34, 24874])).
% 49.89/32.85 tff(24876,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB25, 0)) | v90(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB25, 0)) | v90(constB25, 0))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24877,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB25, 0)) | v90(constB25, 0))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24878,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB25, 0)) | v90(constB25, 0)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24877, 24876])).
% 49.89/32.85 tff(24879,plain,
% 49.89/32.85 (~v88(constB25, 0)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24878, 14930, 3638])).
% 49.89/32.85 tff(24880,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB25, 2)) | v88(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB25, 2)) | v88(constB25, 2))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24881,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB25, 2)) | v88(constB25, 2))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24882,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB25, 2)) | v88(constB25, 2)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24881, 24880])).
% 49.89/32.85 tff(24883,plain,
% 49.89/32.85 (v88(constB25, 2)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24882, 14972, 3580])).
% 49.89/32.85 tff(24884,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB25, 1)) | v88(constB25, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB25, 1)) | v88(constB25, 1))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24885,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB25, 1)) | v88(constB25, 1))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24886,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB25, 1)) | v88(constB25, 1)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24885, 24884])).
% 49.89/32.85 tff(24887,plain,
% 49.89/32.85 (v88(constB25, 1)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24886, 15014, 3541])).
% 49.89/32.85 tff(24888,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24889,plain,
% 49.89/32.85 (((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25)) <=> (v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24890,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25)))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24889])).
% 49.89/32.85 tff(24891,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24890, 24888])).
% 49.89/32.85 tff(24892,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24893,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 49.89/32.85 tff(24894,plain,
% 49.89/32.85 (v144(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24893, 15028, 24887, 24883, 24879])).
% 49.89/32.85 tff(24895,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24896,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24897,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 49.89/32.85 tff(24898,plain,
% 49.89/32.85 (v142(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24897, 15042, 24894])).
% 49.89/32.85 tff(24899,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB25)) | v198(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB25)) | v198(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24900,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB25)) | v198(constB25))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24901,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB25)) | v198(constB25)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24900, 24899])).
% 49.89/32.85 tff(24902,plain,
% 49.89/32.85 (v198(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24901, 15053, 24898])).
% 49.89/32.85 tff(24903,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB25)) | (~v201(constB25)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB25)) | (~v201(constB25)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24904,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB25)) | (~v201(constB25)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24905,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB25)) | (~v201(constB25))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 49.89/32.85 tff(24906,plain,
% 49.89/32.85 (~v201(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24905, 15064, 24902])).
% 49.89/32.85 tff(24907,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB25) | (~v198(constB25)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB25) | (~v198(constB25)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24908,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB25) | (~v198(constB25)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24909,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB25) | (~v198(constB25))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24908, 24907])).
% 49.89/32.85 tff(24910,plain,
% 49.89/32.85 (v197(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24909, 15078, 24902])).
% 49.89/32.85 tff(24911,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB25) | (~v197(constB25)) | v201(constB25))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB25) | (~v197(constB25)) | v201(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24912,plain,
% 49.89/32.85 (((~v197(constB25)) | v201(constB25) | v227(constB25)) <=> (v227(constB25) | (~v197(constB25)) | v201(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24913,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB25)) | v201(constB25) | v227(constB25))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB25) | (~v197(constB25)) | v201(constB25)))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24912])).
% 49.89/32.85 tff(24914,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB25)) | v201(constB25) | v227(constB25))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB25) | (~v197(constB25)) | v201(constB25))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24913, 24911])).
% 49.89/32.85 tff(24915,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB25)) | v201(constB25) | v227(constB25))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24916,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB25) | (~v197(constB25)) | v201(constB25)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24915, 24914])).
% 49.89/32.85 tff(24917,plain,
% 49.89/32.85 (v227(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24916, 15092, 24910, 24906])).
% 49.89/32.85 tff(24918,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB25)) | (~v223(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB25)) | (~v223(constB25, 0)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24919,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB25)) | (~v223(constB25, 0)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24920,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB25)) | (~v223(constB25, 0))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24919, 24918])).
% 49.89/32.85 tff(24921,plain,
% 49.89/32.85 (~v223(constB25, 0)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24920, 15109, 24917])).
% 49.89/32.85 tff(24922,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB25)) | v223(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB25)) | v223(constB25, 0))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24923,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB25)) | v223(constB25, 0))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24924,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB25)) | v223(constB25, 0)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24923, 24922])).
% 49.89/32.85 tff(24925,plain,
% 49.89/32.85 (~v222(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24924, 15120, 24921])).
% 49.89/32.85 tff(24926,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB25)) | (~v88(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB25)) | (~v88(constB25, 1)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24927,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB25)) | (~v88(constB25, 1)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24928,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB25)) | (~v88(constB25, 1))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24927, 24926])).
% 49.89/32.85 tff(24929,plain,
% 49.89/32.85 (~v139(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24928, 15131, 24887])).
% 49.89/32.85 tff(24930,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB25)) | (~v88(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB25)) | (~v88(constB25, 1)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24931,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB25)) | (~v88(constB25, 1)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24932,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB25)) | (~v88(constB25, 1))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24931, 24930])).
% 49.89/32.85 tff(24933,plain,
% 49.89/32.85 (~v140(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24932, 15142, 24887])).
% 49.89/32.85 tff(24934,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v200(constB25)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB25) | v140(constB25) | (~v200(constB25)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24935,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v200(constB25)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24936,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB25) | v140(constB25) | (~v200(constB25))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24935, 24934])).
% 49.89/32.85 tff(24937,plain,
% 49.89/32.85 (~v200(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24936, 15156, 24933, 24929])).
% 49.89/32.85 tff(24938,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB25)) | (~v88(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB25)) | (~v88(constB25, 2)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24939,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB25)) | (~v88(constB25, 2)))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24940,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB25)) | (~v88(constB25, 2))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24939, 24938])).
% 49.89/32.85 tff(24941,plain,
% 49.89/32.85 (~v141(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24940, 15167, 24883])).
% 49.89/32.85 tff(24942,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB25) | v200(constB25) | (~v166(constB25)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB25) | v200(constB25) | (~v166(constB25)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24943,plain,
% 49.89/32.85 ((v141(constB25) | (~v166(constB25)) | v200(constB25)) <=> (v141(constB25) | v200(constB25) | (~v166(constB25)))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24944,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB25) | (~v166(constB25)) | v200(constB25))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB25) | v200(constB25) | (~v166(constB25))))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24943])).
% 49.89/32.85 tff(24945,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB25) | (~v166(constB25)) | v200(constB25))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB25) | v200(constB25) | (~v166(constB25)))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24944, 24942])).
% 49.89/32.85 tff(24946,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB25) | (~v166(constB25)) | v200(constB25))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24947,plain,
% 49.89/32.85 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB25) | v200(constB25) | (~v166(constB25))),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24946, 24945])).
% 49.89/32.85 tff(24948,plain,
% 49.89/32.85 (~v166(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24947, 15181, 24941, 24937])).
% 49.89/32.85 tff(24949,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB25) | (~v197(constB25)) | v166(constB25))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB25) | (~v197(constB25)) | v166(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24950,plain,
% 49.89/32.85 (((~v197(constB25)) | v166(constB25) | v241(constB25)) <=> (v241(constB25) | (~v197(constB25)) | v166(constB25))),
% 49.89/32.85 inference(rewrite,[status(thm)],[])).
% 49.89/32.85 tff(24951,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB25)) | v166(constB25) | v241(constB25))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB25) | (~v197(constB25)) | v166(constB25)))),
% 49.89/32.85 inference(monotonicity,[status(thm)],[24950])).
% 49.89/32.85 tff(24952,plain,
% 49.89/32.85 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB25)) | v166(constB25) | v241(constB25))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB25) | (~v197(constB25)) | v166(constB25))),
% 49.89/32.85 inference(transitivity,[status(thm)],[24951, 24949])).
% 49.89/32.85 tff(24953,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB25)) | v166(constB25) | v241(constB25))),
% 49.89/32.85 inference(quant_inst,[status(thm)],[])).
% 49.89/32.85 tff(24954,plain,
% 49.89/32.85 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB25) | (~v197(constB25)) | v166(constB25)),
% 49.89/32.85 inference(modus_ponens,[status(thm)],[24953, 24952])).
% 49.89/32.85 tff(24955,plain,
% 49.89/32.85 (v241(constB25) | (~v197(constB25))),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24954, 15198, 24948])).
% 49.89/32.85 tff(24956,plain,
% 49.89/32.85 (v241(constB25)),
% 49.89/32.85 inference(unit_resolution,[status(thm)],[24955, 24910])).
% 49.89/32.85 tff(24957,plain,
% 49.89/32.85 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB25)) | (~v223(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB25)) | (~v223(constB25, 2)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24958,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB25)) | (~v223(constB25, 2)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24959,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB25)) | (~v223(constB25, 2))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24958, 24957])).
% 49.89/32.86 tff(24960,plain,
% 49.89/32.86 (~v223(constB25, 2)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24959, 15216, 24956])).
% 49.89/32.86 tff(24961,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB25)) | v223(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB25)) | v223(constB25, 2))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24962,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB25)) | v223(constB25, 2))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24963,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB25)) | v223(constB25, 2)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 49.89/32.86 tff(24964,plain,
% 49.89/32.86 (~v224(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24963, 15227, 24960])).
% 49.89/32.86 tff(24965,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB25) | v224(constB25) | (~v236(constB25)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB25) | v224(constB25) | (~v236(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24966,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB25) | v224(constB25) | (~v236(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24967,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB25) | v224(constB25) | (~v236(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24966, 24965])).
% 49.89/32.86 tff(24968,plain,
% 49.89/32.86 (~v236(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24967, 15241, 24964, 24925])).
% 49.89/32.86 tff(24969,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB25) | (~v232(constB25)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB25) | (~v232(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24970,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB25) | (~v232(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24971,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB25) | (~v232(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 49.89/32.86 tff(24972,plain,
% 49.89/32.86 (~v232(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24971, 15255, 24968])).
% 49.89/32.86 tff(24973,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v148(constB25)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB25) | v140(constB25) | (~v148(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24974,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v148(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24975,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB25) | v140(constB25) | (~v148(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24974, 24973])).
% 49.89/32.86 tff(24976,plain,
% 49.89/32.86 (~v148(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24975, 15269, 24933, 24929])).
% 49.89/32.86 tff(24977,plain,
% 49.89/32.86 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB25) | v252(constB25) | (~v197(constB25)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB25) | v252(constB25) | (~v197(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24978,plain,
% 49.89/32.86 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB25) | v252(constB25) | (~v197(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24979,plain,
% 49.89/32.86 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB25) | v252(constB25) | (~v197(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 49.89/32.86 tff(24980,plain,
% 49.89/32.86 (v252(constB25) | (~v197(constB25))),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24979, 15283, 24976])).
% 49.89/32.86 tff(24981,plain,
% 49.89/32.86 (v252(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24980, 24910])).
% 49.89/32.86 tff(24982,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB25)) | (~v223(constB25, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB25)) | (~v223(constB25, 3)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24983,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB25)) | (~v223(constB25, 3)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24984,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB25)) | (~v223(constB25, 3))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 49.89/32.86 tff(24985,plain,
% 49.89/32.86 (~v223(constB25, 3)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24984, 15298, 24981])).
% 49.89/32.86 tff(24986,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB25)) | v223(constB25, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB25)) | v223(constB25, 3))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24987,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB25)) | v223(constB25, 3))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24988,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB25)) | v223(constB25, 3)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24987, 24986])).
% 49.89/32.86 tff(24989,plain,
% 49.89/32.86 (~v237(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24988, 15309, 24985])).
% 49.89/32.86 tff(24990,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB25) | v237(constB25) | (~v248(constB25)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB25) | v237(constB25) | (~v248(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24991,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB25) | v237(constB25) | (~v248(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24992,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB25) | v237(constB25) | (~v248(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24991, 24990])).
% 49.89/32.86 tff(24993,plain,
% 49.89/32.86 (v232(constB25) | (~v248(constB25))),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24992, 15323, 24989])).
% 49.89/32.86 tff(24994,plain,
% 49.89/32.86 (~v248(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24993, 24972])).
% 49.89/32.86 tff(24995,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB25) | (~v244(constB25)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB25) | (~v244(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(24996,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB25) | (~v244(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(24997,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB25) | (~v244(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[24996, 24995])).
% 49.89/32.86 tff(24998,plain,
% 49.89/32.86 (~v244(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[24997, 15338, 24994])).
% 49.89/32.86 tff(24999,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB25) | (~v216(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB25) | (~v216(constB25, 1)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25000,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB25) | (~v216(constB25, 1)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25001,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB25) | (~v216(constB25, 1))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25000, 24999])).
% 49.89/32.86 tff(25002,plain,
% 49.89/32.86 (~v216(constB25, 1)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25001, 15352, 24998])).
% 49.89/32.86 tff(25003,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB25)) | v216(constB25, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB25)) | v216(constB25, 1))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25004,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB25)) | v216(constB25, 1))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25005,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB25)) | v216(constB25, 1)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25004, 25003])).
% 49.89/32.86 tff(25006,plain,
% 49.89/32.86 (~v254(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25005, 15363, 25002])).
% 49.89/32.86 tff(25007,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB25) | (~v221(constB25)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB25) | (~v221(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25008,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB25) | (~v221(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25009,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB25) | (~v221(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 49.89/32.86 tff(25010,plain,
% 49.89/32.86 (~v221(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25009, 15377, 24964])).
% 49.89/32.86 tff(25011,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB25) | (~v231(constB25)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB25) | (~v231(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25012,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB25) | (~v231(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25013,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB25) | (~v231(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25012, 25011])).
% 49.89/32.86 tff(25014,plain,
% 49.89/32.86 (~v231(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25013, 15391, 24989])).
% 49.89/32.86 tff(25015,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB25) | v231(constB25) | (~v243(constB25)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB25) | v231(constB25) | (~v243(constB25)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25016,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB25) | v231(constB25) | (~v243(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25017,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB25) | v231(constB25) | (~v243(constB25))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 49.89/32.86 tff(25018,plain,
% 49.89/32.86 (~v243(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25017, 15405, 25014, 25010])).
% 49.89/32.86 tff(25019,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB25) | v255(constB25))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB25) | v255(constB25))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25020,plain,
% 49.89/32.86 ((v255(constB25) | v243(constB25)) <=> (v243(constB25) | v255(constB25))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25021,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB25) | v243(constB25))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB25) | v255(constB25)))),
% 49.89/32.86 inference(monotonicity,[status(thm)],[25020])).
% 49.89/32.86 tff(25022,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB25) | v243(constB25))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB25) | v255(constB25))),
% 49.89/32.86 inference(transitivity,[status(thm)],[25021, 25019])).
% 49.89/32.86 tff(25023,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB25) | v243(constB25))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25024,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB25) | v255(constB25)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25023, 25022])).
% 49.89/32.86 tff(25025,plain,
% 49.89/32.86 (v255(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25024, 15416, 25018])).
% 49.89/32.86 tff(25026,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB25)) | (~v216(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB25)) | (~v216(constB25, 2)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25027,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB25)) | (~v216(constB25, 2)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25028,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB25)) | (~v216(constB25, 2))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25027, 25026])).
% 49.89/32.86 tff(25029,plain,
% 49.89/32.86 (~v216(constB25, 2)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25028, 15433, 25025])).
% 49.89/32.86 tff(25030,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, 2) | (~v215(constB25)) | v254(constB25))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB25, 2) | (~v215(constB25)) | v254(constB25))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25031,plain,
% 49.89/32.86 ((v216(constB25, 2) | v254(constB25) | (~v215(constB25))) <=> (v216(constB25, 2) | (~v215(constB25)) | v254(constB25))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25032,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, 2) | v254(constB25) | (~v215(constB25)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, 2) | (~v215(constB25)) | v254(constB25)))),
% 49.89/32.86 inference(monotonicity,[status(thm)],[25031])).
% 49.89/32.86 tff(25033,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, 2) | v254(constB25) | (~v215(constB25)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB25, 2) | (~v215(constB25)) | v254(constB25))),
% 49.89/32.86 inference(transitivity,[status(thm)],[25032, 25030])).
% 49.89/32.86 tff(25034,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, 2) | v254(constB25) | (~v215(constB25)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25035,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB25, 2) | (~v215(constB25)) | v254(constB25)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25034, 25033])).
% 49.89/32.86 tff(25036,plain,
% 49.89/32.86 ((~v215(constB25)) | v254(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25035, 15447, 25029])).
% 49.89/32.86 tff(25037,plain,
% 49.89/32.86 (~v215(constB25)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25036, 25006])).
% 49.89/32.86 tff(25038,plain,
% 49.89/32.86 ($false),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25037, 24875])).
% 49.89/32.86 tff(25039,plain,(~(constB25 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.89/32.86 tff(25040,assumption,(constB49 = sK_VarCurr), introduced(assumption)).
% 49.89/32.86 tff(25041,plain,
% 49.89/32.86 (v215(constB49) <=> v215(sK_VarCurr)),
% 49.89/32.86 inference(monotonicity,[status(thm)],[25040])).
% 49.89/32.86 tff(25042,plain,
% 49.89/32.86 (v215(sK_VarCurr) <=> v215(constB49)),
% 49.89/32.86 inference(symmetry,[status(thm)],[25041])).
% 49.89/32.86 tff(25043,plain,
% 49.89/32.86 (v215(constB49)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[34, 25042])).
% 49.89/32.86 tff(25044,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB49, 0)) | v90(constB49, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB49, 0)) | v90(constB49, 0))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25045,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB49, 0)) | v90(constB49, 0))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25046,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB49, 0)) | v90(constB49, 0)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25045, 25044])).
% 49.89/32.86 tff(25047,plain,
% 49.89/32.86 (~v88(constB49, 0)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25046, 14930, 6330])).
% 49.89/32.86 tff(25048,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB49, 2)) | v88(constB49, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB49, 2)) | v88(constB49, 2))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25049,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB49, 2)) | v88(constB49, 2))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25050,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB49, 2)) | v88(constB49, 2)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25049, 25048])).
% 49.89/32.86 tff(25051,plain,
% 49.89/32.86 (v88(constB49, 2)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25050, 14972, 6260])).
% 49.89/32.86 tff(25052,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB49, 1)) | v88(constB49, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB49, 1)) | v88(constB49, 1))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25053,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB49, 1)) | v88(constB49, 1))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25054,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB49, 1)) | v88(constB49, 1)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25053, 25052])).
% 49.89/32.86 tff(25055,plain,
% 49.89/32.86 (v88(constB49, 1)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25054, 15014, 6217])).
% 49.89/32.86 tff(25056,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25057,plain,
% 49.89/32.86 (((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49)) <=> ((~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25058,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1))))),
% 49.89/32.86 inference(monotonicity,[status(thm)],[25057])).
% 49.89/32.86 tff(25059,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))),
% 49.89/32.86 inference(transitivity,[status(thm)],[25058, 25056])).
% 49.89/32.86 tff(25060,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25061,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25060, 25059])).
% 49.89/32.86 tff(25062,plain,
% 49.89/32.86 (v144(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25061, 15028, 25055, 25051, 25047])).
% 49.89/32.86 tff(25063,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25064,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25065,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25064, 25063])).
% 49.89/32.86 tff(25066,plain,
% 49.89/32.86 (v142(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25065, 15042, 25062])).
% 49.89/32.86 tff(25067,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB49)) | v198(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB49)) | v198(constB49))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25068,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB49)) | v198(constB49))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25069,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB49)) | v198(constB49)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25068, 25067])).
% 49.89/32.86 tff(25070,plain,
% 49.89/32.86 (v198(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25069, 15053, 25066])).
% 49.89/32.86 tff(25071,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB49)) | (~v201(constB49)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB49)) | (~v201(constB49)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25072,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB49)) | (~v201(constB49)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25073,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB49)) | (~v201(constB49))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25072, 25071])).
% 49.89/32.86 tff(25074,plain,
% 49.89/32.86 (~v201(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25073, 15064, 25070])).
% 49.89/32.86 tff(25075,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB49) | (~v198(constB49)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB49) | (~v198(constB49)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25076,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB49) | (~v198(constB49)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25077,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB49) | (~v198(constB49))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25076, 25075])).
% 49.89/32.86 tff(25078,plain,
% 49.89/32.86 (v197(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25077, 15078, 25070])).
% 49.89/32.86 tff(25079,plain,
% 49.89/32.86 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB49) | (~v197(constB49)) | v201(constB49))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB49) | (~v197(constB49)) | v201(constB49))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25080,plain,
% 49.89/32.86 (((~v197(constB49)) | v201(constB49) | v227(constB49)) <=> (v227(constB49) | (~v197(constB49)) | v201(constB49))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25081,plain,
% 49.89/32.86 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB49)) | v201(constB49) | v227(constB49))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB49) | (~v197(constB49)) | v201(constB49)))),
% 49.89/32.86 inference(monotonicity,[status(thm)],[25080])).
% 49.89/32.86 tff(25082,plain,
% 49.89/32.86 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB49)) | v201(constB49) | v227(constB49))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB49) | (~v197(constB49)) | v201(constB49))),
% 49.89/32.86 inference(transitivity,[status(thm)],[25081, 25079])).
% 49.89/32.86 tff(25083,plain,
% 49.89/32.86 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB49)) | v201(constB49) | v227(constB49))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25084,plain,
% 49.89/32.86 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB49) | (~v197(constB49)) | v201(constB49)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25083, 25082])).
% 49.89/32.86 tff(25085,plain,
% 49.89/32.86 (v227(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25084, 15092, 25078, 25074])).
% 49.89/32.86 tff(25086,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB49)) | (~v223(constB49, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB49)) | (~v223(constB49, 0)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25087,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB49)) | (~v223(constB49, 0)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25088,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB49)) | (~v223(constB49, 0))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25087, 25086])).
% 49.89/32.86 tff(25089,plain,
% 49.89/32.86 (~v223(constB49, 0)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25088, 15109, 25085])).
% 49.89/32.86 tff(25090,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB49)) | v223(constB49, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB49)) | v223(constB49, 0))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25091,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB49)) | v223(constB49, 0))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25092,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB49)) | v223(constB49, 0)),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 49.89/32.86 tff(25093,plain,
% 49.89/32.86 (~v222(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25092, 15120, 25089])).
% 49.89/32.86 tff(25094,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB49)) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB49)) | (~v88(constB49, 1)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25095,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB49)) | (~v88(constB49, 1)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25096,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB49)) | (~v88(constB49, 1))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25095, 25094])).
% 49.89/32.86 tff(25097,plain,
% 49.89/32.86 (~v139(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25096, 15131, 25055])).
% 49.89/32.86 tff(25098,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB49)) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB49)) | (~v88(constB49, 1)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25099,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB49)) | (~v88(constB49, 1)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25100,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB49)) | (~v88(constB49, 1))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 49.89/32.86 tff(25101,plain,
% 49.89/32.86 (~v140(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25100, 15142, 25055])).
% 49.89/32.86 tff(25102,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v200(constB49)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB49) | v140(constB49) | (~v200(constB49)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25103,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v200(constB49)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25104,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB49) | v140(constB49) | (~v200(constB49))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25103, 25102])).
% 49.89/32.86 tff(25105,plain,
% 49.89/32.86 (~v200(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25104, 15156, 25101, 25097])).
% 49.89/32.86 tff(25106,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB49)) | (~v88(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB49)) | (~v88(constB49, 2)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25107,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB49)) | (~v88(constB49, 2)))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25108,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB49)) | (~v88(constB49, 2))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25107, 25106])).
% 49.89/32.86 tff(25109,plain,
% 49.89/32.86 (~v141(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25108, 15167, 25051])).
% 49.89/32.86 tff(25110,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB49) | v200(constB49) | (~v166(constB49)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB49) | v200(constB49) | (~v166(constB49)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25111,plain,
% 49.89/32.86 ((v141(constB49) | (~v166(constB49)) | v200(constB49)) <=> (v141(constB49) | v200(constB49) | (~v166(constB49)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25112,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB49) | (~v166(constB49)) | v200(constB49))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB49) | v200(constB49) | (~v166(constB49))))),
% 49.89/32.86 inference(monotonicity,[status(thm)],[25111])).
% 49.89/32.86 tff(25113,plain,
% 49.89/32.86 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB49) | (~v166(constB49)) | v200(constB49))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB49) | v200(constB49) | (~v166(constB49)))),
% 49.89/32.86 inference(transitivity,[status(thm)],[25112, 25110])).
% 49.89/32.86 tff(25114,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB49) | (~v166(constB49)) | v200(constB49))),
% 49.89/32.86 inference(quant_inst,[status(thm)],[])).
% 49.89/32.86 tff(25115,plain,
% 49.89/32.86 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB49) | v200(constB49) | (~v166(constB49))),
% 49.89/32.86 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 49.89/32.86 tff(25116,plain,
% 49.89/32.86 (~v166(constB49)),
% 49.89/32.86 inference(unit_resolution,[status(thm)],[25115, 15181, 25109, 25105])).
% 49.89/32.86 tff(25117,plain,
% 49.89/32.86 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB49) | v166(constB49) | (~v197(constB49)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB49) | v166(constB49) | (~v197(constB49)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25118,plain,
% 49.89/32.86 (((~v197(constB49)) | v166(constB49) | v241(constB49)) <=> (v241(constB49) | v166(constB49) | (~v197(constB49)))),
% 49.89/32.86 inference(rewrite,[status(thm)],[])).
% 49.89/32.86 tff(25119,plain,
% 49.89/32.86 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB49)) | v166(constB49) | v241(constB49))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB49) | v166(constB49) | (~v197(constB49))))),
% 49.89/32.86 inference(monotonicity,[status(thm)],[25118])).
% 49.89/32.86 tff(25120,plain,
% 49.89/32.86 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB49)) | v166(constB49) | v241(constB49))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB49) | v166(constB49) | (~v197(constB49)))),
% 49.94/32.86 inference(transitivity,[status(thm)],[25119, 25117])).
% 49.94/32.86 tff(25121,plain,
% 49.94/32.86 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB49)) | v166(constB49) | v241(constB49))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25122,plain,
% 49.94/32.86 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB49) | v166(constB49) | (~v197(constB49))),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 49.94/32.86 tff(25123,plain,
% 49.94/32.86 (v241(constB49) | (~v197(constB49))),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25122, 15198, 25116])).
% 49.94/32.86 tff(25124,plain,
% 49.94/32.86 (v241(constB49)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25123, 25078])).
% 49.94/32.86 tff(25125,plain,
% 49.94/32.86 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB49)) | (~v223(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB49)) | (~v223(constB49, 2)))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25126,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB49)) | (~v223(constB49, 2)))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25127,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB49)) | (~v223(constB49, 2))),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 49.94/32.86 tff(25128,plain,
% 49.94/32.86 (~v223(constB49, 2)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25127, 15216, 25124])).
% 49.94/32.86 tff(25129,plain,
% 49.94/32.86 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB49)) | v223(constB49, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB49)) | v223(constB49, 2))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25130,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB49)) | v223(constB49, 2))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25131,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB49)) | v223(constB49, 2)),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25130, 25129])).
% 49.94/32.86 tff(25132,plain,
% 49.94/32.86 (~v224(constB49)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25131, 15227, 25128])).
% 49.94/32.86 tff(25133,plain,
% 49.94/32.86 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB49) | v224(constB49) | (~v236(constB49)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB49) | v224(constB49) | (~v236(constB49)))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25134,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB49) | v224(constB49) | (~v236(constB49)))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25135,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB49) | v224(constB49) | (~v236(constB49))),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25134, 25133])).
% 49.94/32.86 tff(25136,plain,
% 49.94/32.86 (~v236(constB49)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25135, 15241, 25132, 25093])).
% 49.94/32.86 tff(25137,plain,
% 49.94/32.86 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB49) | (~v232(constB49)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB49) | (~v232(constB49)))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25138,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB49) | (~v232(constB49)))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25139,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB49) | (~v232(constB49))),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25138, 25137])).
% 49.94/32.86 tff(25140,plain,
% 49.94/32.86 (~v232(constB49)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25139, 15255, 25136])).
% 49.94/32.86 tff(25141,plain,
% 49.94/32.86 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v148(constB49)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB49) | v140(constB49) | (~v148(constB49)))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25142,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v148(constB49)))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25143,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB49) | v140(constB49) | (~v148(constB49))),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25142, 25141])).
% 49.94/32.86 tff(25144,plain,
% 49.94/32.86 (~v148(constB49)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25143, 15269, 25101, 25097])).
% 49.94/32.86 tff(25145,plain,
% 49.94/32.86 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB49) | v252(constB49) | (~v197(constB49)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB49) | v252(constB49) | (~v197(constB49)))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25146,plain,
% 49.94/32.86 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB49) | v252(constB49) | (~v197(constB49)))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25147,plain,
% 49.94/32.86 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB49) | v252(constB49) | (~v197(constB49))),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25146, 25145])).
% 49.94/32.86 tff(25148,plain,
% 49.94/32.86 (v252(constB49) | (~v197(constB49))),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25147, 15283, 25144])).
% 49.94/32.86 tff(25149,plain,
% 49.94/32.86 (v252(constB49)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25148, 25078])).
% 49.94/32.86 tff(25150,plain,
% 49.94/32.86 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB49)) | (~v223(constB49, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB49)) | (~v223(constB49, 3)))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25151,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB49)) | (~v223(constB49, 3)))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25152,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB49)) | (~v223(constB49, 3))),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25151, 25150])).
% 49.94/32.86 tff(25153,plain,
% 49.94/32.86 (~v223(constB49, 3)),
% 49.94/32.86 inference(unit_resolution,[status(thm)],[25152, 15298, 25149])).
% 49.94/32.86 tff(25154,plain,
% 49.94/32.86 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB49)) | v223(constB49, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB49)) | v223(constB49, 3))),
% 49.94/32.86 inference(rewrite,[status(thm)],[])).
% 49.94/32.86 tff(25155,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB49)) | v223(constB49, 3))),
% 49.94/32.86 inference(quant_inst,[status(thm)],[])).
% 49.94/32.86 tff(25156,plain,
% 49.94/32.86 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB49)) | v223(constB49, 3)),
% 49.94/32.86 inference(modus_ponens,[status(thm)],[25155, 25154])).
% 49.94/32.87 tff(25157,plain,
% 49.94/32.87 (~v237(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25156, 15309, 25153])).
% 49.94/32.87 tff(25158,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB49) | v237(constB49) | (~v248(constB49)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB49) | v237(constB49) | (~v248(constB49)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25159,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB49) | v237(constB49) | (~v248(constB49)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25160,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB49) | v237(constB49) | (~v248(constB49))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25159, 25158])).
% 49.94/32.87 tff(25161,plain,
% 49.94/32.87 (v232(constB49) | (~v248(constB49))),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25160, 15323, 25157])).
% 49.94/32.87 tff(25162,plain,
% 49.94/32.87 (~v248(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25161, 25140])).
% 49.94/32.87 tff(25163,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB49) | (~v244(constB49)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB49) | (~v244(constB49)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25164,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB49) | (~v244(constB49)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25165,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB49) | (~v244(constB49))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 49.94/32.87 tff(25166,plain,
% 49.94/32.87 (~v244(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25165, 15338, 25162])).
% 49.94/32.87 tff(25167,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB49) | (~v216(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB49) | (~v216(constB49, 1)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25168,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB49) | (~v216(constB49, 1)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25169,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB49) | (~v216(constB49, 1))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25168, 25167])).
% 49.94/32.87 tff(25170,plain,
% 49.94/32.87 (~v216(constB49, 1)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25169, 15352, 25166])).
% 49.94/32.87 tff(25171,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB49)) | v216(constB49, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB49)) | v216(constB49, 1))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25172,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB49)) | v216(constB49, 1))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25173,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB49)) | v216(constB49, 1)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25172, 25171])).
% 49.94/32.87 tff(25174,plain,
% 49.94/32.87 (~v254(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25173, 15363, 25170])).
% 49.94/32.87 tff(25175,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB49) | (~v221(constB49)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB49) | (~v221(constB49)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25176,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB49) | (~v221(constB49)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25177,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB49) | (~v221(constB49))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25176, 25175])).
% 49.94/32.87 tff(25178,plain,
% 49.94/32.87 (~v221(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25177, 15377, 25132])).
% 49.94/32.87 tff(25179,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB49) | (~v231(constB49)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB49) | (~v231(constB49)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25180,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB49) | (~v231(constB49)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25181,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB49) | (~v231(constB49))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25180, 25179])).
% 49.94/32.87 tff(25182,plain,
% 49.94/32.87 (~v231(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25181, 15391, 25157])).
% 49.94/32.87 tff(25183,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB49) | v231(constB49) | (~v243(constB49)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB49) | v231(constB49) | (~v243(constB49)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25184,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB49) | v231(constB49) | (~v243(constB49)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25185,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB49) | v231(constB49) | (~v243(constB49))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25184, 25183])).
% 49.94/32.87 tff(25186,plain,
% 49.94/32.87 (~v243(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25185, 15405, 25182, 25178])).
% 49.94/32.87 tff(25187,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB49) | v255(constB49))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB49) | v255(constB49))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25188,plain,
% 49.94/32.87 ((v255(constB49) | v243(constB49)) <=> (v243(constB49) | v255(constB49))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25189,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB49) | v243(constB49))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB49) | v255(constB49)))),
% 49.94/32.87 inference(monotonicity,[status(thm)],[25188])).
% 49.94/32.87 tff(25190,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB49) | v243(constB49))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB49) | v255(constB49))),
% 49.94/32.87 inference(transitivity,[status(thm)],[25189, 25187])).
% 49.94/32.87 tff(25191,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB49) | v243(constB49))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25192,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB49) | v255(constB49)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25191, 25190])).
% 49.94/32.87 tff(25193,plain,
% 49.94/32.87 (v255(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25192, 15416, 25186])).
% 49.94/32.87 tff(25194,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB49)) | (~v216(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB49)) | (~v216(constB49, 2)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25195,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB49)) | (~v216(constB49, 2)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25196,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB49)) | (~v216(constB49, 2))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 49.94/32.87 tff(25197,plain,
% 49.94/32.87 (~v216(constB49, 2)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25196, 15433, 25193])).
% 49.94/32.87 tff(25198,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB49, 2) | (~v215(constB49)) | v254(constB49))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB49, 2) | (~v215(constB49)) | v254(constB49))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25199,plain,
% 49.94/32.87 ((v216(constB49, 2) | v254(constB49) | (~v215(constB49))) <=> (v216(constB49, 2) | (~v215(constB49)) | v254(constB49))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25200,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB49, 2) | v254(constB49) | (~v215(constB49)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB49, 2) | (~v215(constB49)) | v254(constB49)))),
% 49.94/32.87 inference(monotonicity,[status(thm)],[25199])).
% 49.94/32.87 tff(25201,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB49, 2) | v254(constB49) | (~v215(constB49)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB49, 2) | (~v215(constB49)) | v254(constB49))),
% 49.94/32.87 inference(transitivity,[status(thm)],[25200, 25198])).
% 49.94/32.87 tff(25202,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB49, 2) | v254(constB49) | (~v215(constB49)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25203,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB49, 2) | (~v215(constB49)) | v254(constB49)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 49.94/32.87 tff(25204,plain,
% 49.94/32.87 ((~v215(constB49)) | v254(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25203, 15447, 25197])).
% 49.94/32.87 tff(25205,plain,
% 49.94/32.87 (~v215(constB49)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25204, 25174])).
% 49.94/32.87 tff(25206,plain,
% 49.94/32.87 ($false),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25205, 25043])).
% 49.94/32.87 tff(25207,plain,(~(constB49 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.87 tff(25208,assumption,(constB133 = sK_VarCurr), introduced(assumption)).
% 49.94/32.87 tff(25209,plain,
% 49.94/32.87 (v215(constB133) <=> v215(sK_VarCurr)),
% 49.94/32.87 inference(monotonicity,[status(thm)],[25208])).
% 49.94/32.87 tff(25210,plain,
% 49.94/32.87 (v215(sK_VarCurr) <=> v215(constB133)),
% 49.94/32.87 inference(symmetry,[status(thm)],[25209])).
% 49.94/32.87 tff(25211,plain,
% 49.94/32.87 (v215(constB133)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[34, 25210])).
% 49.94/32.87 tff(25212,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB133, 0)) | v90(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB133, 0)) | v90(constB133, 0))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25213,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB133, 0)) | v90(constB133, 0))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25214,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB133, 0)) | v90(constB133, 0)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25213, 25212])).
% 49.94/32.87 tff(25215,plain,
% 49.94/32.87 (~v88(constB133, 0)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25214, 14930, 17160])).
% 49.94/32.87 tff(25216,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB133, 2)) | v88(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB133, 2)) | v88(constB133, 2))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25217,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB133, 2)) | v88(constB133, 2))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25218,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB133, 2)) | v88(constB133, 2)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25217, 25216])).
% 49.94/32.87 tff(25219,plain,
% 49.94/32.87 (v88(constB133, 2)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25218, 14972, 17047])).
% 49.94/32.87 tff(25220,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB133, 1)) | v88(constB133, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB133, 1)) | v88(constB133, 1))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25221,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB133, 1)) | v88(constB133, 1))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25222,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB133, 1)) | v88(constB133, 1)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 49.94/32.87 tff(25223,plain,
% 49.94/32.87 (v88(constB133, 1)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25222, 15014, 17082])).
% 49.94/32.87 tff(25224,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25225,plain,
% 49.94/32.87 (((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133)) <=> ((~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25226,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133)))),
% 49.94/32.87 inference(monotonicity,[status(thm)],[25225])).
% 49.94/32.87 tff(25227,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))),
% 49.94/32.87 inference(transitivity,[status(thm)],[25226, 25224])).
% 49.94/32.87 tff(25228,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25229,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25228, 25227])).
% 49.94/32.87 tff(25230,plain,
% 49.94/32.87 (v144(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25229, 15028, 25223, 25219, 25215])).
% 49.94/32.87 tff(25231,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25232,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25233,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25232, 25231])).
% 49.94/32.87 tff(25234,plain,
% 49.94/32.87 (v142(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25233, 15042, 25230])).
% 49.94/32.87 tff(25235,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB133)) | v198(constB133))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB133)) | v198(constB133))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25236,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB133)) | v198(constB133))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25237,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB133)) | v198(constB133)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25236, 25235])).
% 49.94/32.87 tff(25238,plain,
% 49.94/32.87 (v198(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25237, 15053, 25234])).
% 49.94/32.87 tff(25239,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB133)) | (~v201(constB133)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB133)) | (~v201(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25240,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB133)) | (~v201(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25241,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB133)) | (~v201(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 49.94/32.87 tff(25242,plain,
% 49.94/32.87 (~v201(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25241, 15064, 25238])).
% 49.94/32.87 tff(25243,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB133) | (~v198(constB133)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB133) | (~v198(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25244,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB133) | (~v198(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25245,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB133) | (~v198(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25244, 25243])).
% 49.94/32.87 tff(25246,plain,
% 49.94/32.87 (v197(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25245, 15078, 25238])).
% 49.94/32.87 tff(25247,plain,
% 49.94/32.87 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB133) | v201(constB133) | (~v197(constB133)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB133) | v201(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25248,plain,
% 49.94/32.87 (((~v197(constB133)) | v201(constB133) | v227(constB133)) <=> (v227(constB133) | v201(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25249,plain,
% 49.94/32.87 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB133)) | v201(constB133) | v227(constB133))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB133) | v201(constB133) | (~v197(constB133))))),
% 49.94/32.87 inference(monotonicity,[status(thm)],[25248])).
% 49.94/32.87 tff(25250,plain,
% 49.94/32.87 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB133)) | v201(constB133) | v227(constB133))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB133) | v201(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(transitivity,[status(thm)],[25249, 25247])).
% 49.94/32.87 tff(25251,plain,
% 49.94/32.87 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB133)) | v201(constB133) | v227(constB133))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25252,plain,
% 49.94/32.87 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB133) | v201(constB133) | (~v197(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25251, 25250])).
% 49.94/32.87 tff(25253,plain,
% 49.94/32.87 (v227(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25252, 15092, 25246, 25242])).
% 49.94/32.87 tff(25254,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB133)) | (~v223(constB133, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB133)) | (~v223(constB133, 0)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25255,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB133)) | (~v223(constB133, 0)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25256,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB133)) | (~v223(constB133, 0))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 49.94/32.87 tff(25257,plain,
% 49.94/32.87 (~v223(constB133, 0)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25256, 15109, 25253])).
% 49.94/32.87 tff(25258,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB133)) | v223(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB133)) | v223(constB133, 0))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25259,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB133)) | v223(constB133, 0))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25260,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB133)) | v223(constB133, 0)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25259, 25258])).
% 49.94/32.87 tff(25261,plain,
% 49.94/32.87 (~v222(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25260, 15120, 25257])).
% 49.94/32.87 tff(25262,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB133)) | (~v88(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB133)) | (~v88(constB133, 1)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25263,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB133)) | (~v88(constB133, 1)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25264,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB133)) | (~v88(constB133, 1))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25263, 25262])).
% 49.94/32.87 tff(25265,plain,
% 49.94/32.87 (~v139(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25264, 15131, 25223])).
% 49.94/32.87 tff(25266,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB133)) | (~v88(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB133)) | (~v88(constB133, 1)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25267,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB133)) | (~v88(constB133, 1)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25268,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB133)) | (~v88(constB133, 1))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25267, 25266])).
% 49.94/32.87 tff(25269,plain,
% 49.94/32.87 (~v140(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25268, 15142, 25223])).
% 49.94/32.87 tff(25270,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v200(constB133)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB133) | v140(constB133) | (~v200(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25271,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v200(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25272,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB133) | v140(constB133) | (~v200(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 49.94/32.87 tff(25273,plain,
% 49.94/32.87 (~v200(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25272, 15156, 25269, 25265])).
% 49.94/32.87 tff(25274,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB133)) | (~v88(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB133)) | (~v88(constB133, 2)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25275,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB133)) | (~v88(constB133, 2)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25276,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB133)) | (~v88(constB133, 2))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25275, 25274])).
% 49.94/32.87 tff(25277,plain,
% 49.94/32.87 (~v141(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25276, 15167, 25219])).
% 49.94/32.87 tff(25278,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB133) | v200(constB133) | (~v166(constB133)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB133) | v200(constB133) | (~v166(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25279,plain,
% 49.94/32.87 ((v141(constB133) | (~v166(constB133)) | v200(constB133)) <=> (v141(constB133) | v200(constB133) | (~v166(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25280,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB133) | (~v166(constB133)) | v200(constB133))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB133) | v200(constB133) | (~v166(constB133))))),
% 49.94/32.87 inference(monotonicity,[status(thm)],[25279])).
% 49.94/32.87 tff(25281,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB133) | (~v166(constB133)) | v200(constB133))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB133) | v200(constB133) | (~v166(constB133)))),
% 49.94/32.87 inference(transitivity,[status(thm)],[25280, 25278])).
% 49.94/32.87 tff(25282,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB133) | (~v166(constB133)) | v200(constB133))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25283,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB133) | v200(constB133) | (~v166(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25282, 25281])).
% 49.94/32.87 tff(25284,plain,
% 49.94/32.87 (~v166(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25283, 15181, 25277, 25273])).
% 49.94/32.87 tff(25285,plain,
% 49.94/32.87 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB133) | v166(constB133) | (~v197(constB133)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB133) | v166(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25286,plain,
% 49.94/32.87 (((~v197(constB133)) | v166(constB133) | v241(constB133)) <=> (v241(constB133) | v166(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25287,plain,
% 49.94/32.87 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB133)) | v166(constB133) | v241(constB133))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB133) | v166(constB133) | (~v197(constB133))))),
% 49.94/32.87 inference(monotonicity,[status(thm)],[25286])).
% 49.94/32.87 tff(25288,plain,
% 49.94/32.87 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB133)) | v166(constB133) | v241(constB133))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB133) | v166(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(transitivity,[status(thm)],[25287, 25285])).
% 49.94/32.87 tff(25289,plain,
% 49.94/32.87 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB133)) | v166(constB133) | v241(constB133))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25290,plain,
% 49.94/32.87 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB133) | v166(constB133) | (~v197(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25289, 25288])).
% 49.94/32.87 tff(25291,plain,
% 49.94/32.87 (v241(constB133) | (~v197(constB133))),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25290, 15198, 25284])).
% 49.94/32.87 tff(25292,plain,
% 49.94/32.87 (v241(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25291, 25246])).
% 49.94/32.87 tff(25293,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB133)) | (~v223(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB133)) | (~v223(constB133, 2)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25294,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB133)) | (~v223(constB133, 2)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25295,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB133)) | (~v223(constB133, 2))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25294, 25293])).
% 49.94/32.87 tff(25296,plain,
% 49.94/32.87 (~v223(constB133, 2)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25295, 15216, 25292])).
% 49.94/32.87 tff(25297,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB133)) | v223(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB133)) | v223(constB133, 2))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25298,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB133)) | v223(constB133, 2))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25299,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB133)) | v223(constB133, 2)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25298, 25297])).
% 49.94/32.87 tff(25300,plain,
% 49.94/32.87 (~v224(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25299, 15227, 25296])).
% 49.94/32.87 tff(25301,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB133) | v224(constB133) | (~v236(constB133)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB133) | v224(constB133) | (~v236(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25302,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB133) | v224(constB133) | (~v236(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25303,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB133) | v224(constB133) | (~v236(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25302, 25301])).
% 49.94/32.87 tff(25304,plain,
% 49.94/32.87 (~v236(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25303, 15241, 25300, 25261])).
% 49.94/32.87 tff(25305,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB133) | (~v232(constB133)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB133) | (~v232(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25306,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB133) | (~v232(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25307,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB133) | (~v232(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25306, 25305])).
% 49.94/32.87 tff(25308,plain,
% 49.94/32.87 (~v232(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25307, 15255, 25304])).
% 49.94/32.87 tff(25309,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v148(constB133)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB133) | v140(constB133) | (~v148(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25310,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v148(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25311,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB133) | v140(constB133) | (~v148(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25310, 25309])).
% 49.94/32.87 tff(25312,plain,
% 49.94/32.87 (~v148(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25311, 15269, 25269, 25265])).
% 49.94/32.87 tff(25313,plain,
% 49.94/32.87 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB133) | v252(constB133) | (~v197(constB133)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB133) | v252(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25314,plain,
% 49.94/32.87 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB133) | v252(constB133) | (~v197(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25315,plain,
% 49.94/32.87 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB133) | v252(constB133) | (~v197(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25314, 25313])).
% 49.94/32.87 tff(25316,plain,
% 49.94/32.87 (v252(constB133) | (~v197(constB133))),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25315, 15283, 25312])).
% 49.94/32.87 tff(25317,plain,
% 49.94/32.87 (v252(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25316, 25246])).
% 49.94/32.87 tff(25318,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB133)) | (~v223(constB133, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB133)) | (~v223(constB133, 3)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25319,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB133)) | (~v223(constB133, 3)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25320,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB133)) | (~v223(constB133, 3))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25319, 25318])).
% 49.94/32.87 tff(25321,plain,
% 49.94/32.87 (~v223(constB133, 3)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25320, 15298, 25317])).
% 49.94/32.87 tff(25322,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB133)) | v223(constB133, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB133)) | v223(constB133, 3))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25323,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB133)) | v223(constB133, 3))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25324,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB133)) | v223(constB133, 3)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 49.94/32.87 tff(25325,plain,
% 49.94/32.87 (~v237(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25324, 15309, 25321])).
% 49.94/32.87 tff(25326,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB133) | v237(constB133) | (~v248(constB133)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB133) | v237(constB133) | (~v248(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25327,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB133) | v237(constB133) | (~v248(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25328,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB133) | v237(constB133) | (~v248(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25327, 25326])).
% 49.94/32.87 tff(25329,plain,
% 49.94/32.87 (v232(constB133) | (~v248(constB133))),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25328, 15323, 25325])).
% 49.94/32.87 tff(25330,plain,
% 49.94/32.87 (~v248(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25329, 25308])).
% 49.94/32.87 tff(25331,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB133) | (~v244(constB133)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB133) | (~v244(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25332,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB133) | (~v244(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25333,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB133) | (~v244(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25332, 25331])).
% 49.94/32.87 tff(25334,plain,
% 49.94/32.87 (~v244(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25333, 15338, 25330])).
% 49.94/32.87 tff(25335,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB133) | (~v216(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB133) | (~v216(constB133, 1)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25336,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB133) | (~v216(constB133, 1)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25337,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB133) | (~v216(constB133, 1))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 49.94/32.87 tff(25338,plain,
% 49.94/32.87 (~v216(constB133, 1)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25337, 15352, 25334])).
% 49.94/32.87 tff(25339,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB133)) | v216(constB133, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB133)) | v216(constB133, 1))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25340,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB133)) | v216(constB133, 1))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25341,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB133)) | v216(constB133, 1)),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25340, 25339])).
% 49.94/32.87 tff(25342,plain,
% 49.94/32.87 (~v254(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25341, 15363, 25338])).
% 49.94/32.87 tff(25343,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB133) | (~v221(constB133)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB133) | (~v221(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25344,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB133) | (~v221(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25345,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB133) | (~v221(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25344, 25343])).
% 49.94/32.87 tff(25346,plain,
% 49.94/32.87 (~v221(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25345, 15377, 25300])).
% 49.94/32.87 tff(25347,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB133) | (~v231(constB133)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB133) | (~v231(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25348,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB133) | (~v231(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25349,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB133) | (~v231(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25348, 25347])).
% 49.94/32.87 tff(25350,plain,
% 49.94/32.87 (~v231(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25349, 15391, 25325])).
% 49.94/32.87 tff(25351,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB133) | v231(constB133) | (~v243(constB133)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB133) | v231(constB133) | (~v243(constB133)))),
% 49.94/32.87 inference(rewrite,[status(thm)],[])).
% 49.94/32.87 tff(25352,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB133) | v231(constB133) | (~v243(constB133)))),
% 49.94/32.87 inference(quant_inst,[status(thm)],[])).
% 49.94/32.87 tff(25353,plain,
% 49.94/32.87 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB133) | v231(constB133) | (~v243(constB133))),
% 49.94/32.87 inference(modus_ponens,[status(thm)],[25352, 25351])).
% 49.94/32.87 tff(25354,plain,
% 49.94/32.87 (~v243(constB133)),
% 49.94/32.87 inference(unit_resolution,[status(thm)],[25353, 15405, 25350, 25346])).
% 49.94/32.87 tff(25355,plain,
% 49.94/32.87 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB133) | v255(constB133))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB133) | v255(constB133))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25356,plain,
% 49.94/32.88 ((v255(constB133) | v243(constB133)) <=> (v243(constB133) | v255(constB133))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25357,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB133) | v243(constB133))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB133) | v255(constB133)))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25356])).
% 49.94/32.88 tff(25358,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB133) | v243(constB133))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB133) | v255(constB133))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25357, 25355])).
% 49.94/32.88 tff(25359,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB133) | v243(constB133))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25360,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB133) | v255(constB133)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25359, 25358])).
% 49.94/32.88 tff(25361,plain,
% 49.94/32.88 (v255(constB133)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25360, 15416, 25354])).
% 49.94/32.88 tff(25362,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB133)) | (~v216(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB133)) | (~v216(constB133, 2)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25363,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB133)) | (~v216(constB133, 2)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25364,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB133)) | (~v216(constB133, 2))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25363, 25362])).
% 49.94/32.88 tff(25365,plain,
% 49.94/32.88 (~v216(constB133, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25364, 15433, 25361])).
% 49.94/32.88 tff(25366,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB133, 2) | v254(constB133) | (~v215(constB133)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB133, 2) | v254(constB133) | (~v215(constB133)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25367,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB133, 2) | v254(constB133) | (~v215(constB133)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25368,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB133, 2) | v254(constB133) | (~v215(constB133))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25367, 25366])).
% 49.94/32.88 tff(25369,plain,
% 49.94/32.88 (v254(constB133) | (~v215(constB133))),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25368, 15447, 25365])).
% 49.94/32.88 tff(25370,plain,
% 49.94/32.88 (~v215(constB133)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25369, 25342])).
% 49.94/32.88 tff(25371,plain,
% 49.94/32.88 ($false),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25370, 25211])).
% 49.94/32.88 tff(25372,plain,(~(constB133 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.88 tff(25373,assumption,(constB73 = sK_VarCurr), introduced(assumption)).
% 49.94/32.88 tff(25374,plain,
% 49.94/32.88 (v215(constB73) <=> v215(sK_VarCurr)),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25373])).
% 49.94/32.88 tff(25375,plain,
% 49.94/32.88 (v215(sK_VarCurr) <=> v215(constB73)),
% 49.94/32.88 inference(symmetry,[status(thm)],[25374])).
% 49.94/32.88 tff(25376,plain,
% 49.94/32.88 (v215(constB73)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[34, 25375])).
% 49.94/32.88 tff(25377,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB73, 0)) | v90(constB73, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB73, 0)) | v90(constB73, 0))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25378,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB73, 0)) | v90(constB73, 0))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25379,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB73, 0)) | v90(constB73, 0)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25378, 25377])).
% 49.94/32.88 tff(25380,plain,
% 49.94/32.88 (~v88(constB73, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25379, 14930, 8977])).
% 49.94/32.88 tff(25381,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB73, 2)) | v88(constB73, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB73, 2)) | v88(constB73, 2))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25382,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB73, 2)) | v88(constB73, 2))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25383,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB73, 2)) | v88(constB73, 2)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25382, 25381])).
% 49.94/32.88 tff(25384,plain,
% 49.94/32.88 (v88(constB73, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25383, 14972, 8912])).
% 49.94/32.88 tff(25385,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB73, 1)) | v88(constB73, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB73, 1)) | v88(constB73, 1))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25386,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB73, 1)) | v88(constB73, 1))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25387,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB73, 1)) | v88(constB73, 1)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25386, 25385])).
% 49.94/32.88 tff(25388,plain,
% 49.94/32.88 (v88(constB73, 1)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25387, 15014, 8943])).
% 49.94/32.88 tff(25389,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB73) | (~v88(constB73, 1)) | v88(constB73, 0) | (~v88(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB73) | (~v88(constB73, 1)) | v88(constB73, 0) | (~v88(constB73, 2)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25390,plain,
% 49.94/32.88 (((~v88(constB73, 2)) | (~v88(constB73, 1)) | v88(constB73, 0) | v144(constB73)) <=> (v144(constB73) | (~v88(constB73, 1)) | v88(constB73, 0) | (~v88(constB73, 2)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25391,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB73, 2)) | (~v88(constB73, 1)) | v88(constB73, 0) | v144(constB73))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB73) | (~v88(constB73, 1)) | v88(constB73, 0) | (~v88(constB73, 2))))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25390])).
% 49.94/32.88 tff(25392,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB73, 2)) | (~v88(constB73, 1)) | v88(constB73, 0) | v144(constB73))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB73) | (~v88(constB73, 1)) | v88(constB73, 0) | (~v88(constB73, 2)))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25391, 25389])).
% 49.94/32.88 tff(25393,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB73, 2)) | (~v88(constB73, 1)) | v88(constB73, 0) | v144(constB73))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25394,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB73) | (~v88(constB73, 1)) | v88(constB73, 0) | (~v88(constB73, 2))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25393, 25392])).
% 49.94/32.88 tff(25395,plain,
% 49.94/32.88 (v144(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25394, 15028, 25388, 25384, 25380])).
% 49.94/32.88 tff(25396,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB73)) | v142(constB73))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB73)) | v142(constB73))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25397,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB73)) | v142(constB73))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25398,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB73)) | v142(constB73)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25397, 25396])).
% 49.94/32.88 tff(25399,plain,
% 49.94/32.88 (v142(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25398, 15042, 25395])).
% 49.94/32.88 tff(25400,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB73) | (~v142(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25401,plain,
% 49.94/32.88 (((~v142(constB73)) | v198(constB73)) <=> (v198(constB73) | (~v142(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25402,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB73)) | v198(constB73))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB73) | (~v142(constB73))))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25401])).
% 49.94/32.88 tff(25403,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB73)) | v198(constB73))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB73) | (~v142(constB73)))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25402, 25400])).
% 49.94/32.88 tff(25404,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB73)) | v198(constB73))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25405,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB73) | (~v142(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 49.94/32.88 tff(25406,plain,
% 49.94/32.88 (v198(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25405, 15053, 25399])).
% 49.94/32.88 tff(25407,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB73)) | (~v201(constB73)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB73)) | (~v201(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25408,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB73)) | (~v201(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25409,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB73)) | (~v201(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25408, 25407])).
% 49.94/32.88 tff(25410,plain,
% 49.94/32.88 (~v201(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25409, 15064, 25406])).
% 49.94/32.88 tff(25411,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB73) | (~v198(constB73)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB73) | (~v198(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25412,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB73) | (~v198(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25413,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB73) | (~v198(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25412, 25411])).
% 49.94/32.88 tff(25414,plain,
% 49.94/32.88 (v197(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25413, 15078, 25406])).
% 49.94/32.88 tff(25415,plain,
% 49.94/32.88 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB73) | (~v197(constB73)) | v201(constB73))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB73) | (~v197(constB73)) | v201(constB73))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25416,plain,
% 49.94/32.88 (((~v197(constB73)) | v201(constB73) | v227(constB73)) <=> (v227(constB73) | (~v197(constB73)) | v201(constB73))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25417,plain,
% 49.94/32.88 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB73)) | v201(constB73) | v227(constB73))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB73) | (~v197(constB73)) | v201(constB73)))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25416])).
% 49.94/32.88 tff(25418,plain,
% 49.94/32.88 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB73)) | v201(constB73) | v227(constB73))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB73) | (~v197(constB73)) | v201(constB73))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25417, 25415])).
% 49.94/32.88 tff(25419,plain,
% 49.94/32.88 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB73)) | v201(constB73) | v227(constB73))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25420,plain,
% 49.94/32.88 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB73) | (~v197(constB73)) | v201(constB73)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25419, 25418])).
% 49.94/32.88 tff(25421,plain,
% 49.94/32.88 (v227(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25420, 15092, 25414, 25410])).
% 49.94/32.88 tff(25422,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB73)) | (~v223(constB73, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB73)) | (~v223(constB73, 0)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25423,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB73)) | (~v223(constB73, 0)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25424,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB73)) | (~v223(constB73, 0))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25423, 25422])).
% 49.94/32.88 tff(25425,plain,
% 49.94/32.88 (~v223(constB73, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25424, 15109, 25421])).
% 49.94/32.88 tff(25426,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB73)) | v223(constB73, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB73)) | v223(constB73, 0))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25427,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB73)) | v223(constB73, 0))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25428,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB73)) | v223(constB73, 0)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25427, 25426])).
% 49.94/32.88 tff(25429,plain,
% 49.94/32.88 (~v222(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25428, 15120, 25425])).
% 49.94/32.88 tff(25430,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB73)) | (~v88(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB73)) | (~v88(constB73, 1)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25431,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB73)) | (~v88(constB73, 1)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25432,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB73)) | (~v88(constB73, 1))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25431, 25430])).
% 49.94/32.88 tff(25433,plain,
% 49.94/32.88 (~v139(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25432, 15131, 25388])).
% 49.94/32.88 tff(25434,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB73)) | (~v88(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB73)) | (~v88(constB73, 1)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25435,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB73)) | (~v88(constB73, 1)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25436,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB73)) | (~v88(constB73, 1))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 49.94/32.88 tff(25437,plain,
% 49.94/32.88 (~v140(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25436, 15142, 25388])).
% 49.94/32.88 tff(25438,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v200(constB73)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB73) | v140(constB73) | (~v200(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25439,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v200(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25440,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB73) | v140(constB73) | (~v200(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 49.94/32.88 tff(25441,plain,
% 49.94/32.88 (~v200(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25440, 15156, 25437, 25433])).
% 49.94/32.88 tff(25442,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB73)) | (~v88(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB73)) | (~v88(constB73, 2)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25443,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB73)) | (~v88(constB73, 2)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25444,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB73)) | (~v88(constB73, 2))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 49.94/32.88 tff(25445,plain,
% 49.94/32.88 (~v141(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25444, 15167, 25384])).
% 49.94/32.88 tff(25446,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB73) | (~v166(constB73)) | v200(constB73))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB73) | (~v166(constB73)) | v200(constB73))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25447,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB73) | (~v166(constB73)) | v200(constB73))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25448,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB73) | (~v166(constB73)) | v200(constB73)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 49.94/32.88 tff(25449,plain,
% 49.94/32.88 (~v166(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25448, 15181, 25445, 25441])).
% 49.94/32.88 tff(25450,plain,
% 49.94/32.88 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB73) | v166(constB73) | (~v197(constB73)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB73) | v166(constB73) | (~v197(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25451,plain,
% 49.94/32.88 (((~v197(constB73)) | v166(constB73) | v241(constB73)) <=> (v241(constB73) | v166(constB73) | (~v197(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25452,plain,
% 49.94/32.88 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB73)) | v166(constB73) | v241(constB73))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB73) | v166(constB73) | (~v197(constB73))))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25451])).
% 49.94/32.88 tff(25453,plain,
% 49.94/32.88 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB73)) | v166(constB73) | v241(constB73))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB73) | v166(constB73) | (~v197(constB73)))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25452, 25450])).
% 49.94/32.88 tff(25454,plain,
% 49.94/32.88 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB73)) | v166(constB73) | v241(constB73))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25455,plain,
% 49.94/32.88 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB73) | v166(constB73) | (~v197(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25454, 25453])).
% 49.94/32.88 tff(25456,plain,
% 49.94/32.88 (v241(constB73) | (~v197(constB73))),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25455, 15198, 25449])).
% 49.94/32.88 tff(25457,plain,
% 49.94/32.88 (v241(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25456, 25414])).
% 49.94/32.88 tff(25458,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB73)) | (~v223(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB73)) | (~v223(constB73, 2)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25459,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB73)) | (~v223(constB73, 2)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25460,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB73)) | (~v223(constB73, 2))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25459, 25458])).
% 49.94/32.88 tff(25461,plain,
% 49.94/32.88 (~v223(constB73, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25460, 15216, 25457])).
% 49.94/32.88 tff(25462,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB73)) | v223(constB73, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB73)) | v223(constB73, 2))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25463,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB73)) | v223(constB73, 2))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25464,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB73)) | v223(constB73, 2)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 49.94/32.88 tff(25465,plain,
% 49.94/32.88 (~v224(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25464, 15227, 25461])).
% 49.94/32.88 tff(25466,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB73) | v224(constB73) | (~v236(constB73)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB73) | v224(constB73) | (~v236(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25467,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB73) | v224(constB73) | (~v236(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25468,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB73) | v224(constB73) | (~v236(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25467, 25466])).
% 49.94/32.88 tff(25469,plain,
% 49.94/32.88 (~v236(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25468, 15241, 25465, 25429])).
% 49.94/32.88 tff(25470,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB73) | (~v232(constB73)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB73) | (~v232(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25471,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB73) | (~v232(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25472,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB73) | (~v232(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25471, 25470])).
% 49.94/32.88 tff(25473,plain,
% 49.94/32.88 (~v232(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25472, 15255, 25469])).
% 49.94/32.88 tff(25474,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v148(constB73)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB73) | v140(constB73) | (~v148(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25475,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB73) | v140(constB73) | (~v148(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25476,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB73) | v140(constB73) | (~v148(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25475, 25474])).
% 49.94/32.88 tff(25477,plain,
% 49.94/32.88 (~v148(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25476, 15269, 25437, 25433])).
% 49.94/32.88 tff(25478,plain,
% 49.94/32.88 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB73) | v252(constB73) | (~v197(constB73)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB73) | v252(constB73) | (~v197(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25479,plain,
% 49.94/32.88 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB73) | v252(constB73) | (~v197(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25480,plain,
% 49.94/32.88 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB73) | v252(constB73) | (~v197(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25479, 25478])).
% 49.94/32.88 tff(25481,plain,
% 49.94/32.88 (v252(constB73) | (~v197(constB73))),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25480, 15283, 25477])).
% 49.94/32.88 tff(25482,plain,
% 49.94/32.88 (v252(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25481, 25414])).
% 49.94/32.88 tff(25483,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB73)) | (~v223(constB73, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB73)) | (~v223(constB73, 3)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25484,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB73)) | (~v223(constB73, 3)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25485,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB73)) | (~v223(constB73, 3))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 49.94/32.88 tff(25486,plain,
% 49.94/32.88 (~v223(constB73, 3)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25485, 15298, 25482])).
% 49.94/32.88 tff(25487,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB73)) | v223(constB73, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB73)) | v223(constB73, 3))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25488,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB73)) | v223(constB73, 3))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25489,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB73)) | v223(constB73, 3)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25488, 25487])).
% 49.94/32.88 tff(25490,plain,
% 49.94/32.88 (~v237(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25489, 15309, 25486])).
% 49.94/32.88 tff(25491,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB73) | v237(constB73) | (~v248(constB73)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB73) | v237(constB73) | (~v248(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25492,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB73) | v237(constB73) | (~v248(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25493,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB73) | v237(constB73) | (~v248(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 49.94/32.88 tff(25494,plain,
% 49.94/32.88 (v232(constB73) | (~v248(constB73))),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25493, 15323, 25490])).
% 49.94/32.88 tff(25495,plain,
% 49.94/32.88 (~v248(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25494, 25473])).
% 49.94/32.88 tff(25496,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB73) | (~v244(constB73)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB73) | (~v244(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25497,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB73) | (~v244(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25498,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB73) | (~v244(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25497, 25496])).
% 49.94/32.88 tff(25499,plain,
% 49.94/32.88 (~v244(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25498, 15338, 25495])).
% 49.94/32.88 tff(25500,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB73) | (~v216(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB73) | (~v216(constB73, 1)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25501,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB73) | (~v216(constB73, 1)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25502,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB73) | (~v216(constB73, 1))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25501, 25500])).
% 49.94/32.88 tff(25503,plain,
% 49.94/32.88 (~v216(constB73, 1)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25502, 15352, 25499])).
% 49.94/32.88 tff(25504,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB73)) | v216(constB73, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB73)) | v216(constB73, 1))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25505,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB73)) | v216(constB73, 1))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25506,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB73)) | v216(constB73, 1)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25505, 25504])).
% 49.94/32.88 tff(25507,plain,
% 49.94/32.88 (~v254(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25506, 15363, 25503])).
% 49.94/32.88 tff(25508,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB73) | (~v221(constB73)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB73) | (~v221(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25509,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB73) | (~v221(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25510,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB73) | (~v221(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25509, 25508])).
% 49.94/32.88 tff(25511,plain,
% 49.94/32.88 (~v221(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25510, 15377, 25465])).
% 49.94/32.88 tff(25512,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB73) | (~v231(constB73)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB73) | (~v231(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25513,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB73) | (~v231(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25514,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB73) | (~v231(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25513, 25512])).
% 49.94/32.88 tff(25515,plain,
% 49.94/32.88 (~v231(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25514, 15391, 25490])).
% 49.94/32.88 tff(25516,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB73) | v231(constB73) | (~v243(constB73)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB73) | v231(constB73) | (~v243(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25517,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB73) | v231(constB73) | (~v243(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25518,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB73) | v231(constB73) | (~v243(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 49.94/32.88 tff(25519,plain,
% 49.94/32.88 (~v243(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25518, 15405, 25515, 25511])).
% 49.94/32.88 tff(25520,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB73) | v255(constB73))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB73) | v255(constB73))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25521,plain,
% 49.94/32.88 ((v255(constB73) | v243(constB73)) <=> (v243(constB73) | v255(constB73))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25522,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB73) | v243(constB73))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB73) | v255(constB73)))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25521])).
% 49.94/32.88 tff(25523,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB73) | v243(constB73))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB73) | v255(constB73))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25522, 25520])).
% 49.94/32.88 tff(25524,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB73) | v243(constB73))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25525,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB73) | v255(constB73)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25524, 25523])).
% 49.94/32.88 tff(25526,plain,
% 49.94/32.88 (v255(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25525, 15416, 25519])).
% 49.94/32.88 tff(25527,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB73)) | (~v216(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB73)) | (~v216(constB73, 2)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25528,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB73)) | (~v216(constB73, 2)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25529,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB73)) | (~v216(constB73, 2))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25528, 25527])).
% 49.94/32.88 tff(25530,plain,
% 49.94/32.88 (~v216(constB73, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25529, 15433, 25526])).
% 49.94/32.88 tff(25531,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB73, 2) | v254(constB73) | (~v215(constB73)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB73, 2) | v254(constB73) | (~v215(constB73)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25532,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB73, 2) | v254(constB73) | (~v215(constB73)))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25533,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB73, 2) | v254(constB73) | (~v215(constB73))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25532, 25531])).
% 49.94/32.88 tff(25534,plain,
% 49.94/32.88 (v254(constB73) | (~v215(constB73))),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25533, 15447, 25530])).
% 49.94/32.88 tff(25535,plain,
% 49.94/32.88 (~v215(constB73)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25534, 25507])).
% 49.94/32.88 tff(25536,plain,
% 49.94/32.88 ($false),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25535, 25376])).
% 49.94/32.88 tff(25537,plain,(~(constB73 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.88 tff(25538,assumption,(constB157 = sK_VarCurr), introduced(assumption)).
% 49.94/32.88 tff(25539,plain,
% 49.94/32.88 (v215(constB157) <=> v215(sK_VarCurr)),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25538])).
% 49.94/32.88 tff(25540,plain,
% 49.94/32.88 (v215(sK_VarCurr) <=> v215(constB157)),
% 49.94/32.88 inference(symmetry,[status(thm)],[25539])).
% 49.94/32.88 tff(25541,plain,
% 49.94/32.88 (v215(constB157)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[34, 25540])).
% 49.94/32.88 tff(25542,plain,
% 49.94/32.88 (~v130(constB155, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19827, 1909, 19663])).
% 49.94/32.88 tff(25543,plain,
% 49.94/32.88 (~v127(constB155, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19835, 25542])).
% 49.94/32.88 tff(25544,plain,
% 49.94/32.88 (~v129(constB156, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19840, 25543])).
% 49.94/32.88 tff(25545,plain,
% 49.94/32.88 ((~v90(constB156, 0)) | (~v100(constB156))),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19847, 963, 25544])).
% 49.94/32.88 tff(25546,plain,
% 49.94/32.88 (~v90(constB156, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25545, 19727])).
% 49.94/32.88 tff(25547,plain,
% 49.94/32.88 (~v90(constB157, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19857, 25546])).
% 49.94/32.88 tff(25548,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25549,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25550,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25549, 25548])).
% 49.94/32.88 tff(25551,plain,
% 49.94/32.88 (~v88(constB157, 0)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25550, 14930, 25547])).
% 49.94/32.88 tff(25552,plain,
% 49.94/32.88 (v130(constB155, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19790, 1729, 19663])).
% 49.94/32.88 tff(25553,plain,
% 49.94/32.88 (v127(constB155, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19795, 25552])).
% 49.94/32.88 tff(25554,plain,
% 49.94/32.88 (v129(constB156, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19800, 25553])).
% 49.94/32.88 tff(25555,plain,
% 49.94/32.88 (v90(constB156, 2) | (~v100(constB156))),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19807, 1358, 25554])).
% 49.94/32.88 tff(25556,plain,
% 49.94/32.88 (v90(constB156, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25555, 19727])).
% 49.94/32.88 tff(25557,plain,
% 49.94/32.88 (v90(constB157, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[19817, 25556])).
% 49.94/32.88 tff(25558,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25559,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25560,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 49.94/32.88 tff(25561,plain,
% 49.94/32.88 (v88(constB157, 2)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25560, 14972, 25557])).
% 49.94/32.88 tff(25562,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25563,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25564,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1)),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25563, 25562])).
% 49.94/32.88 tff(25565,plain,
% 49.94/32.88 (v88(constB157, 1)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25564, 15014, 19776])).
% 49.94/32.88 tff(25566,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB157) | (~v88(constB157, 2)) | v88(constB157, 0) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB157) | (~v88(constB157, 2)) | v88(constB157, 0) | (~v88(constB157, 1)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25567,plain,
% 49.94/32.88 (((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157)) <=> (v144(constB157) | (~v88(constB157, 2)) | v88(constB157, 0) | (~v88(constB157, 1)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25568,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB157) | (~v88(constB157, 2)) | v88(constB157, 0) | (~v88(constB157, 1))))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25567])).
% 49.94/32.88 tff(25569,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB157) | (~v88(constB157, 2)) | v88(constB157, 0) | (~v88(constB157, 1)))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25568, 25566])).
% 49.94/32.88 tff(25570,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25571,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB157) | (~v88(constB157, 2)) | v88(constB157, 0) | (~v88(constB157, 1))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25570, 25569])).
% 49.94/32.88 tff(25572,plain,
% 49.94/32.88 (v144(constB157)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25571, 15028, 25565, 25561, 25551])).
% 49.94/32.88 tff(25573,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB157) | (~v144(constB157)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB157) | (~v144(constB157)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25574,plain,
% 49.94/32.88 (((~v144(constB157)) | v142(constB157)) <=> (v142(constB157) | (~v144(constB157)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25575,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB157) | (~v144(constB157))))),
% 49.94/32.88 inference(monotonicity,[status(thm)],[25574])).
% 49.94/32.88 tff(25576,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB157) | (~v144(constB157)))),
% 49.94/32.88 inference(transitivity,[status(thm)],[25575, 25573])).
% 49.94/32.88 tff(25577,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))),
% 49.94/32.88 inference(quant_inst,[status(thm)],[])).
% 49.94/32.88 tff(25578,plain,
% 49.94/32.88 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB157) | (~v144(constB157))),
% 49.94/32.88 inference(modus_ponens,[status(thm)],[25577, 25576])).
% 49.94/32.88 tff(25579,plain,
% 49.94/32.88 (v142(constB157)),
% 49.94/32.88 inference(unit_resolution,[status(thm)],[25578, 15042, 25572])).
% 49.94/32.88 tff(25580,plain,
% 49.94/32.88 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB157) | (~v142(constB157)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25581,plain,
% 49.94/32.88 (((~v142(constB157)) | v198(constB157)) <=> (v198(constB157) | (~v142(constB157)))),
% 49.94/32.88 inference(rewrite,[status(thm)],[])).
% 49.94/32.88 tff(25582,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB157)) | v198(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB157) | (~v142(constB157))))),
% 49.94/32.89 inference(monotonicity,[status(thm)],[25581])).
% 49.94/32.89 tff(25583,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB157)) | v198(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB157) | (~v142(constB157)))),
% 49.94/32.89 inference(transitivity,[status(thm)],[25582, 25580])).
% 49.94/32.89 tff(25584,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB157)) | v198(constB157))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25585,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB157) | (~v142(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25584, 25583])).
% 49.94/32.89 tff(25586,plain,
% 49.94/32.89 (v198(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25585, 15053, 25579])).
% 49.94/32.89 tff(25587,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB157)) | (~v201(constB157)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB157)) | (~v201(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25588,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB157)) | (~v201(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25589,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB157)) | (~v201(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 49.94/32.89 tff(25590,plain,
% 49.94/32.89 (~v201(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25589, 15064, 25586])).
% 49.94/32.89 tff(25591,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB157) | (~v198(constB157)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB157) | (~v198(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25592,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB157) | (~v198(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25593,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB157) | (~v198(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25592, 25591])).
% 49.94/32.89 tff(25594,plain,
% 49.94/32.89 (v197(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25593, 15078, 25586])).
% 49.94/32.89 tff(25595,plain,
% 49.94/32.89 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB157) | (~v197(constB157)) | v201(constB157))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB157) | (~v197(constB157)) | v201(constB157))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25596,plain,
% 49.94/32.89 (((~v197(constB157)) | v201(constB157) | v227(constB157)) <=> (v227(constB157) | (~v197(constB157)) | v201(constB157))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25597,plain,
% 49.94/32.89 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB157)) | v201(constB157) | v227(constB157))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB157) | (~v197(constB157)) | v201(constB157)))),
% 49.94/32.89 inference(monotonicity,[status(thm)],[25596])).
% 49.94/32.89 tff(25598,plain,
% 49.94/32.89 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB157)) | v201(constB157) | v227(constB157))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB157) | (~v197(constB157)) | v201(constB157))),
% 49.94/32.89 inference(transitivity,[status(thm)],[25597, 25595])).
% 49.94/32.89 tff(25599,plain,
% 49.94/32.89 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB157)) | v201(constB157) | v227(constB157))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25600,plain,
% 49.94/32.89 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB157) | (~v197(constB157)) | v201(constB157)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25599, 25598])).
% 49.94/32.89 tff(25601,plain,
% 49.94/32.89 (v227(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25600, 15092, 25594, 25590])).
% 49.94/32.89 tff(25602,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB157)) | (~v223(constB157, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB157)) | (~v223(constB157, 0)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25603,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB157)) | (~v223(constB157, 0)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25604,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB157)) | (~v223(constB157, 0))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25603, 25602])).
% 49.94/32.89 tff(25605,plain,
% 49.94/32.89 (~v223(constB157, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25604, 15109, 25601])).
% 49.94/32.89 tff(25606,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB157)) | v223(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB157)) | v223(constB157, 0))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25607,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB157)) | v223(constB157, 0))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25608,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB157)) | v223(constB157, 0)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25607, 25606])).
% 49.94/32.89 tff(25609,plain,
% 49.94/32.89 (~v222(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25608, 15120, 25605])).
% 49.94/32.89 tff(25610,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25611,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25612,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 49.94/32.89 tff(25613,plain,
% 49.94/32.89 (~v139(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25612, 15131, 25565])).
% 49.94/32.89 tff(25614,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25615,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25616,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25615, 25614])).
% 49.94/32.89 tff(25617,plain,
% 49.94/32.89 (~v140(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25616, 15142, 25565])).
% 49.94/32.89 tff(25618,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v200(constB157)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB157) | v140(constB157) | (~v200(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25619,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v200(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25620,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB157) | v140(constB157) | (~v200(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25619, 25618])).
% 49.94/32.89 tff(25621,plain,
% 49.94/32.89 (~v200(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25620, 15156, 25617, 25613])).
% 49.94/32.89 tff(25622,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB157)) | (~v88(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB157)) | (~v88(constB157, 2)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25623,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB157)) | (~v88(constB157, 2)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25624,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB157)) | (~v88(constB157, 2))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25623, 25622])).
% 49.94/32.89 tff(25625,plain,
% 49.94/32.89 (~v141(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25624, 15167, 25561])).
% 49.94/32.89 tff(25626,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v200(constB157) | v141(constB157) | (~v166(constB157)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v200(constB157) | v141(constB157) | (~v166(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25627,plain,
% 49.94/32.89 ((v141(constB157) | (~v166(constB157)) | v200(constB157)) <=> (v200(constB157) | v141(constB157) | (~v166(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25628,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB157) | (~v166(constB157)) | v200(constB157))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v200(constB157) | v141(constB157) | (~v166(constB157))))),
% 49.94/32.89 inference(monotonicity,[status(thm)],[25627])).
% 49.94/32.89 tff(25629,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB157) | (~v166(constB157)) | v200(constB157))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v200(constB157) | v141(constB157) | (~v166(constB157)))),
% 49.94/32.89 inference(transitivity,[status(thm)],[25628, 25626])).
% 49.94/32.89 tff(25630,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB157) | (~v166(constB157)) | v200(constB157))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25631,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v200(constB157) | v141(constB157) | (~v166(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25630, 25629])).
% 49.94/32.89 tff(25632,plain,
% 49.94/32.89 (~v166(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25631, 15181, 25625, 25621])).
% 49.94/32.89 tff(25633,plain,
% 49.94/32.89 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB157) | (~v197(constB157)) | v166(constB157))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB157) | (~v197(constB157)) | v166(constB157))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25634,plain,
% 49.94/32.89 (((~v197(constB157)) | v166(constB157) | v241(constB157)) <=> (v241(constB157) | (~v197(constB157)) | v166(constB157))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25635,plain,
% 49.94/32.89 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB157)) | v166(constB157) | v241(constB157))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB157) | (~v197(constB157)) | v166(constB157)))),
% 49.94/32.89 inference(monotonicity,[status(thm)],[25634])).
% 49.94/32.89 tff(25636,plain,
% 49.94/32.89 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB157)) | v166(constB157) | v241(constB157))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB157) | (~v197(constB157)) | v166(constB157))),
% 49.94/32.89 inference(transitivity,[status(thm)],[25635, 25633])).
% 49.94/32.89 tff(25637,plain,
% 49.94/32.89 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB157)) | v166(constB157) | v241(constB157))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25638,plain,
% 49.94/32.89 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB157) | (~v197(constB157)) | v166(constB157)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25637, 25636])).
% 49.94/32.89 tff(25639,plain,
% 49.94/32.89 (v241(constB157) | (~v197(constB157))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25638, 15198, 25632])).
% 49.94/32.89 tff(25640,plain,
% 49.94/32.89 (v241(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25639, 25594])).
% 49.94/32.89 tff(25641,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB157)) | (~v223(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB157)) | (~v223(constB157, 2)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25642,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB157)) | (~v223(constB157, 2)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25643,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB157)) | (~v223(constB157, 2))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25642, 25641])).
% 49.94/32.89 tff(25644,plain,
% 49.94/32.89 (~v223(constB157, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25643, 15216, 25640])).
% 49.94/32.89 tff(25645,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB157)) | v223(constB157, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB157)) | v223(constB157, 2))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25646,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB157)) | v223(constB157, 2))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25647,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB157)) | v223(constB157, 2)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25646, 25645])).
% 49.94/32.89 tff(25648,plain,
% 49.94/32.89 (~v224(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25647, 15227, 25644])).
% 49.94/32.89 tff(25649,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB157) | v224(constB157) | (~v236(constB157)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB157) | v224(constB157) | (~v236(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25650,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB157) | v224(constB157) | (~v236(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25651,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB157) | v224(constB157) | (~v236(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25650, 25649])).
% 49.94/32.89 tff(25652,plain,
% 49.94/32.89 (~v236(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25651, 15241, 25648, 25609])).
% 49.94/32.89 tff(25653,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB157) | (~v232(constB157)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB157) | (~v232(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25654,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB157) | (~v232(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25655,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB157) | (~v232(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25654, 25653])).
% 49.94/32.89 tff(25656,plain,
% 49.94/32.89 (~v232(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25655, 15255, 25652])).
% 49.94/32.89 tff(25657,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v148(constB157)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB157) | v140(constB157) | (~v148(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25658,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v148(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25659,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB157) | v140(constB157) | (~v148(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25658, 25657])).
% 49.94/32.89 tff(25660,plain,
% 49.94/32.89 (~v148(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25659, 15269, 25617, 25613])).
% 49.94/32.89 tff(25661,plain,
% 49.94/32.89 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB157) | v252(constB157) | (~v197(constB157)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB157) | v252(constB157) | (~v197(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25662,plain,
% 49.94/32.89 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB157) | v252(constB157) | (~v197(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25663,plain,
% 49.94/32.89 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB157) | v252(constB157) | (~v197(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25662, 25661])).
% 49.94/32.89 tff(25664,plain,
% 49.94/32.89 (v252(constB157) | (~v197(constB157))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25663, 15283, 25660])).
% 49.94/32.89 tff(25665,plain,
% 49.94/32.89 (v252(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25664, 25594])).
% 49.94/32.89 tff(25666,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB157)) | (~v223(constB157, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB157)) | (~v223(constB157, 3)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25667,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB157)) | (~v223(constB157, 3)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25668,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB157)) | (~v223(constB157, 3))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25667, 25666])).
% 49.94/32.89 tff(25669,plain,
% 49.94/32.89 (~v223(constB157, 3)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25668, 15298, 25665])).
% 49.94/32.89 tff(25670,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB157)) | v223(constB157, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB157)) | v223(constB157, 3))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25671,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB157)) | v223(constB157, 3))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25672,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB157)) | v223(constB157, 3)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25671, 25670])).
% 49.94/32.89 tff(25673,plain,
% 49.94/32.89 (~v237(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25672, 15309, 25669])).
% 49.94/32.89 tff(25674,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB157) | v237(constB157) | (~v248(constB157)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB157) | v237(constB157) | (~v248(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25675,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB157) | v237(constB157) | (~v248(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25676,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB157) | v237(constB157) | (~v248(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25675, 25674])).
% 49.94/32.89 tff(25677,plain,
% 49.94/32.89 (v232(constB157) | (~v248(constB157))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25676, 15323, 25673])).
% 49.94/32.89 tff(25678,plain,
% 49.94/32.89 (~v248(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25677, 25656])).
% 49.94/32.89 tff(25679,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB157) | (~v244(constB157)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB157) | (~v244(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25680,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB157) | (~v244(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25681,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB157) | (~v244(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25680, 25679])).
% 49.94/32.89 tff(25682,plain,
% 49.94/32.89 (~v244(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25681, 15338, 25678])).
% 49.94/32.89 tff(25683,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB157) | (~v216(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB157) | (~v216(constB157, 1)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25684,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB157) | (~v216(constB157, 1)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25685,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB157) | (~v216(constB157, 1))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25684, 25683])).
% 49.94/32.89 tff(25686,plain,
% 49.94/32.89 (~v216(constB157, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25685, 15352, 25682])).
% 49.94/32.89 tff(25687,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB157)) | v216(constB157, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB157)) | v216(constB157, 1))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25688,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB157)) | v216(constB157, 1))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25689,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB157)) | v216(constB157, 1)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 49.94/32.89 tff(25690,plain,
% 49.94/32.89 (~v254(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25689, 15363, 25686])).
% 49.94/32.89 tff(25691,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB157) | (~v221(constB157)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB157) | (~v221(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25692,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB157) | (~v221(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25693,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB157) | (~v221(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25692, 25691])).
% 49.94/32.89 tff(25694,plain,
% 49.94/32.89 (~v221(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25693, 15377, 25648])).
% 49.94/32.89 tff(25695,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB157) | (~v231(constB157)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB157) | (~v231(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25696,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB157) | (~v231(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25697,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB157) | (~v231(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25696, 25695])).
% 49.94/32.89 tff(25698,plain,
% 49.94/32.89 (~v231(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25697, 15391, 25673])).
% 49.94/32.89 tff(25699,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB157) | v231(constB157) | (~v243(constB157)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB157) | v231(constB157) | (~v243(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25700,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB157) | v231(constB157) | (~v243(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25701,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB157) | v231(constB157) | (~v243(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25700, 25699])).
% 49.94/32.89 tff(25702,plain,
% 49.94/32.89 (~v243(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25701, 15405, 25698, 25694])).
% 49.94/32.89 tff(25703,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB157) | v255(constB157))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB157) | v255(constB157))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25704,plain,
% 49.94/32.89 ((v255(constB157) | v243(constB157)) <=> (v243(constB157) | v255(constB157))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25705,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB157) | v243(constB157))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB157) | v255(constB157)))),
% 49.94/32.89 inference(monotonicity,[status(thm)],[25704])).
% 49.94/32.89 tff(25706,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB157) | v243(constB157))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB157) | v255(constB157))),
% 49.94/32.89 inference(transitivity,[status(thm)],[25705, 25703])).
% 49.94/32.89 tff(25707,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB157) | v243(constB157))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25708,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB157) | v255(constB157)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25707, 25706])).
% 49.94/32.89 tff(25709,plain,
% 49.94/32.89 (v255(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25708, 15416, 25702])).
% 49.94/32.89 tff(25710,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB157)) | (~v216(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB157)) | (~v216(constB157, 2)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25711,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB157)) | (~v216(constB157, 2)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25712,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB157)) | (~v216(constB157, 2))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25711, 25710])).
% 49.94/32.89 tff(25713,plain,
% 49.94/32.89 (~v216(constB157, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25712, 15433, 25709])).
% 49.94/32.89 tff(25714,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB157, 2) | v254(constB157) | (~v215(constB157)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB157, 2) | v254(constB157) | (~v215(constB157)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25715,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB157, 2) | v254(constB157) | (~v215(constB157)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25716,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB157, 2) | v254(constB157) | (~v215(constB157))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25715, 25714])).
% 49.94/32.89 tff(25717,plain,
% 49.94/32.89 (v254(constB157) | (~v215(constB157))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25716, 15447, 25713])).
% 49.94/32.89 tff(25718,plain,
% 49.94/32.89 (~v215(constB157)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25717, 25690])).
% 49.94/32.89 tff(25719,plain,
% 49.94/32.89 ($false),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25718, 25541])).
% 49.94/32.89 tff(25720,plain,(~(constB157 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.89 tff(25721,assumption,(constB97 = sK_VarCurr), introduced(assumption)).
% 49.94/32.89 tff(25722,plain,
% 49.94/32.89 (v215(constB97) <=> v215(sK_VarCurr)),
% 49.94/32.89 inference(monotonicity,[status(thm)],[25721])).
% 49.94/32.89 tff(25723,plain,
% 49.94/32.89 (v215(sK_VarCurr) <=> v215(constB97)),
% 49.94/32.89 inference(symmetry,[status(thm)],[25722])).
% 49.94/32.89 tff(25724,plain,
% 49.94/32.89 (v215(constB97)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[34, 25723])).
% 49.94/32.89 tff(25725,plain,
% 49.94/32.89 (~v130(constB87, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10461, 767, 10355])).
% 49.94/32.89 tff(25726,plain,
% 49.94/32.89 (~v127(constB87, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10473, 25725])).
% 49.94/32.89 tff(25727,plain,
% 49.94/32.89 (~v129(constB88, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10478, 25726])).
% 49.94/32.89 tff(25728,plain,
% 49.94/32.89 ((~v90(constB88, 2)) | (~v100(constB88))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10483, 626, 25727])).
% 49.94/32.89 tff(25729,plain,
% 49.94/32.89 (~v90(constB88, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25728, 10457])).
% 49.94/32.89 tff(25730,plain,
% 49.94/32.89 (~v90(constB89, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10511, 25729])).
% 49.94/32.89 tff(25731,plain,
% 49.94/32.89 (v130(constB87, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10515, 838, 10355])).
% 49.94/32.89 tff(25732,plain,
% 49.94/32.89 (v127(constB87, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10520, 25731])).
% 49.94/32.89 tff(25733,plain,
% 49.94/32.89 (v129(constB88, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10525, 25732])).
% 49.94/32.89 tff(25734,plain,
% 49.94/32.89 (v90(constB88, 1) | (~v100(constB88))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10532, 882, 25733])).
% 49.94/32.89 tff(25735,plain,
% 49.94/32.89 (v90(constB88, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25734, 10457])).
% 49.94/32.89 tff(25736,plain,
% 49.94/32.89 (v90(constB89, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10542, 25735])).
% 49.94/32.89 tff(25737,plain,
% 49.94/32.89 (~v130(constB87, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10546, 916, 10355])).
% 49.94/32.89 tff(25738,plain,
% 49.94/32.89 (~v127(constB87, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10554, 25737])).
% 49.94/32.89 tff(25739,plain,
% 49.94/32.89 (~v129(constB88, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10559, 25738])).
% 49.94/32.89 tff(25740,plain,
% 49.94/32.89 ((~v90(constB88, 0)) | (~v100(constB88))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10566, 963, 25739])).
% 49.94/32.89 tff(25741,plain,
% 49.94/32.89 (~v90(constB88, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25740, 10457])).
% 49.94/32.89 tff(25742,plain,
% 49.94/32.89 (~v90(constB89, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10576, 25741])).
% 49.94/32.89 tff(25743,plain,
% 49.94/32.89 (v121(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10580, 990, 25742, 25736, 25730])).
% 49.94/32.89 tff(25744,plain,
% 49.94/32.89 (v117(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10587, 1001, 25743])).
% 49.94/32.89 tff(25745,plain,
% 49.94/32.89 (v116(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10594, 224, 25744])).
% 49.94/32.89 tff(25746,plain,
% 49.94/32.89 (v115(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10601, 238, 25745])).
% 49.94/32.89 tff(25747,plain,
% 49.94/32.89 (v114(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10605, 252, 25746])).
% 49.94/32.89 tff(25748,plain,
% 49.94/32.89 (v113(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10612, 266, 25747])).
% 49.94/32.89 tff(25749,plain,
% 49.94/32.89 (v112(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10624, 25748])).
% 49.94/32.89 tff(25750,plain,
% 49.94/32.89 (v108(constB89)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10631, 292, 25749])).
% 49.94/32.89 tff(25751,plain,
% 49.94/32.89 (v110(constB90)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10642, 25750])).
% 49.94/32.89 tff(25752,plain,
% 49.94/32.89 (v100(constB90)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10668, 25751])).
% 49.94/32.89 tff(25753,plain,
% 49.94/32.89 (v130(constB89, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10770, 1146, 25743])).
% 49.94/32.89 tff(25754,plain,
% 49.94/32.89 (v127(constB89, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10775, 25753])).
% 49.94/32.89 tff(25755,plain,
% 49.94/32.89 (v129(constB90, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10780, 25754])).
% 49.94/32.89 tff(25756,plain,
% 49.94/32.89 (v90(constB90, 1) | (~v100(constB90))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10787, 882, 25755])).
% 49.94/32.89 tff(25757,plain,
% 49.94/32.89 (v90(constB90, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25756, 25752])).
% 49.94/32.89 tff(25758,plain,
% 49.94/32.89 (v90(constB91, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10797, 25757])).
% 49.94/32.89 tff(25759,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB91)) | (~v90(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB91)) | (~v90(constB91, 1)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25760,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB91)) | (~v90(constB91, 1)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25761,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB91)) | (~v90(constB91, 1))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25760, 25759])).
% 49.94/32.89 tff(25762,plain,
% 49.94/32.89 (~v124(constB91)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25761, 2083, 25758])).
% 49.94/32.89 tff(25763,plain,
% 49.94/32.89 (v130(constB89, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10721, 25742])).
% 49.94/32.89 tff(25764,plain,
% 49.94/32.89 (v127(constB89, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10726, 25763])).
% 49.94/32.89 tff(25765,plain,
% 49.94/32.89 (v129(constB90, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10731, 25764])).
% 49.94/32.89 tff(25766,plain,
% 49.94/32.89 (v90(constB90, 0) | (~v100(constB90))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10738, 545, 25765])).
% 49.94/32.89 tff(25767,plain,
% 49.94/32.89 (v90(constB90, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25766, 25752])).
% 49.94/32.89 tff(25768,plain,
% 49.94/32.89 (v90(constB91, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10766, 25767])).
% 49.94/32.89 tff(25769,plain,
% 49.94/32.89 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 0))))),
% 49.94/32.89 inference(bind,[status(th)],[])).
% 49.94/32.89 tff(25770,plain,
% 49.94/32.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.94/32.89 inference(quant_intro,[status(thm)],[25769])).
% 49.94/32.89 tff(25771,plain,
% 49.94/32.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25772,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 49.94/32.89 tff(25773,plain,
% 49.94/32.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25772, 25771])).
% 49.94/32.89 tff(25774,plain,(
% 49.94/32.89 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.94/32.89 inference(skolemize,[status(sab)],[25773])).
% 49.94/32.89 tff(25775,plain,
% 49.94/32.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25774, 25770])).
% 49.94/32.89 tff(25776,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB91)) | (~v90(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB91)) | (~v90(constB91, 0)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25777,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB91)) | (~v90(constB91, 0)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25778,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB91)) | (~v90(constB91, 0))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25777, 25776])).
% 49.94/32.89 tff(25779,plain,
% 49.94/32.89 (~v121(constB91)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25778, 25775, 25768])).
% 49.94/32.89 tff(25780,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB91)) | (~v90(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB91)) | (~v90(constB91, 1)))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25781,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB91)) | (~v90(constB91, 1)))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25782,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB91)) | (~v90(constB91, 1))),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25781, 25780])).
% 49.94/32.89 tff(25783,plain,
% 49.94/32.89 (~v120(constB91)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25782, 2061, 25758])).
% 49.94/32.89 tff(25784,plain,
% 49.94/32.89 (~v130(constB91, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10870, 1410, 10837])).
% 49.94/32.89 tff(25785,plain,
% 49.94/32.89 (~v127(constB91, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10882, 25784])).
% 49.94/32.89 tff(25786,plain,
% 49.94/32.89 (~v129(constB92, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10887, 25785])).
% 49.94/32.89 tff(25787,plain,
% 49.94/32.89 (~v130(constB91, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10842, 1451, 10837])).
% 49.94/32.89 tff(25788,plain,
% 49.94/32.89 (~v127(constB91, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10858, 25787])).
% 49.94/32.89 tff(25789,plain,
% 49.94/32.89 (~v129(constB92, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10866, 25788])).
% 49.94/32.89 tff(25790,plain,
% 49.94/32.89 (v123(constB93)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11096, 25789, 25786, 25783, 25779, 25762])).
% 49.94/32.89 tff(25791,plain,
% 49.94/32.89 (v115(constB93)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11103, 1506, 25790])).
% 49.94/32.89 tff(25792,plain,
% 49.94/32.89 (v114(constB93)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11110, 252, 25791])).
% 49.94/32.89 tff(25793,plain,
% 49.94/32.89 (v113(constB93)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11114, 266, 25792])).
% 49.94/32.89 tff(25794,plain,
% 49.94/32.89 (v112(constB93)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11126, 25793])).
% 49.94/32.89 tff(25795,plain,
% 49.94/32.89 (v108(constB93)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11133, 292, 25794])).
% 49.94/32.89 tff(25796,plain,
% 49.94/32.89 (v110(constB94)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11144, 25795])).
% 49.94/32.89 tff(25797,plain,
% 49.94/32.89 (v100(constB94)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11170, 25796])).
% 49.94/32.89 tff(25798,plain,
% 49.94/32.89 (v130(constB93, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11174, 1580, 25790])).
% 49.94/32.89 tff(25799,plain,
% 49.94/32.89 (v127(constB93, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11179, 25798])).
% 49.94/32.89 tff(25800,plain,
% 49.94/32.89 (v129(constB94, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11184, 25799])).
% 49.94/32.89 tff(25801,plain,
% 49.94/32.89 (v90(constB94, 2) | (~v100(constB94))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11191, 1358, 25800])).
% 49.94/32.89 tff(25802,plain,
% 49.94/32.89 (v90(constB94, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25801, 25797])).
% 49.94/32.89 tff(25803,plain,
% 49.94/32.89 (v90(constB95, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11219, 25802])).
% 49.94/32.89 tff(25804,plain,
% 49.94/32.89 (~v130(constB93, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11223, 1636, 25790])).
% 49.94/32.89 tff(25805,plain,
% 49.94/32.89 (~v127(constB93, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11231, 25804])).
% 49.94/32.89 tff(25806,plain,
% 49.94/32.89 (~v129(constB94, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11236, 25805])).
% 49.94/32.89 tff(25807,plain,
% 49.94/32.89 ((~v90(constB94, 1)) | (~v100(constB94))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11243, 453, 25806])).
% 49.94/32.89 tff(25808,plain,
% 49.94/32.89 (~v90(constB94, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25807, 25797])).
% 49.94/32.89 tff(25809,plain,
% 49.94/32.89 (~v90(constB95, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11253, 25808])).
% 49.94/32.89 tff(25810,plain,
% 49.94/32.89 (v130(constB93, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11257, 1677, 25790])).
% 49.94/32.89 tff(25811,plain,
% 49.94/32.89 (v127(constB93, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11262, 25810])).
% 49.94/32.89 tff(25812,plain,
% 49.94/32.89 (v129(constB94, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11267, 25811])).
% 49.94/32.89 tff(25813,plain,
% 49.94/32.89 (v90(constB94, 0) | (~v100(constB94))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11274, 545, 25812])).
% 49.94/32.89 tff(25814,plain,
% 49.94/32.89 (v90(constB94, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25813, 25797])).
% 49.94/32.89 tff(25815,plain,
% 49.94/32.89 (v90(constB95, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11284, 25814])).
% 49.94/32.89 tff(25816,plain,
% 49.94/32.89 (v124(constB95)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11288, 1718, 25815, 25809, 25803])).
% 49.94/32.89 tff(25817,plain,
% 49.94/32.89 (~v130(constB95, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12240, 1909, 25816])).
% 49.94/32.89 tff(25818,plain,
% 49.94/32.89 (~v127(constB95, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12248, 25817])).
% 49.94/32.89 tff(25819,plain,
% 49.94/32.89 (~v129(constB96, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12253, 25818])).
% 49.94/32.89 tff(25820,plain,
% 49.94/32.89 (~v130(constB89, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10801, 1090, 25743])).
% 49.94/32.89 tff(25821,plain,
% 49.94/32.89 (~v127(constB89, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10809, 25820])).
% 49.94/32.89 tff(25822,plain,
% 49.94/32.89 (~v129(constB90, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10814, 25821])).
% 49.94/32.89 tff(25823,plain,
% 49.94/32.89 ((~v90(constB90, 2)) | (~v100(constB90))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10818, 626, 25822])).
% 49.94/32.89 tff(25824,plain,
% 49.94/32.89 (~v90(constB90, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25823, 25752])).
% 49.94/32.89 tff(25825,plain,
% 49.94/32.89 (~v90(constB91, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[10828, 25824])).
% 49.94/32.89 tff(25826,plain,
% 49.94/32.89 (v113(constB95)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12124, 25825])).
% 49.94/32.89 tff(25827,plain,
% 49.94/32.89 (v112(constB95)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12129, 25826])).
% 49.94/32.89 tff(25828,plain,
% 49.94/32.89 (v108(constB95)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12136, 292, 25827])).
% 49.94/32.89 tff(25829,plain,
% 49.94/32.89 (v110(constB96)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12144, 25828])).
% 49.94/32.89 tff(25830,plain,
% 49.94/32.89 (v100(constB96)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12170, 25829])).
% 49.94/32.89 tff(25831,plain,
% 49.94/32.89 ((~v90(constB96, 0)) | v129(constB96, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12260, 963, 25830])).
% 49.94/32.89 tff(25832,plain,
% 49.94/32.89 (~v90(constB96, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25831, 25819])).
% 49.94/32.89 tff(25833,plain,
% 49.94/32.89 (~v90(constB97, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12270, 25832])).
% 49.94/32.89 tff(25834,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25835,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25836,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25835, 25834])).
% 49.94/32.89 tff(25837,plain,
% 49.94/32.89 (~v88(constB97, 0)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25836, 14930, 25833])).
% 49.94/32.89 tff(25838,plain,
% 49.94/32.89 (v130(constB95, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11292, 1729, 25816])).
% 49.94/32.89 tff(25839,plain,
% 49.94/32.89 (v127(constB95, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11301, 25838])).
% 49.94/32.89 tff(25840,plain,
% 49.94/32.89 (v129(constB96, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[11309, 25839])).
% 49.94/32.89 tff(25841,plain,
% 49.94/32.89 (v90(constB96, 2) | (~v129(constB96, 2))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12177, 1358, 25830])).
% 49.94/32.89 tff(25842,plain,
% 49.94/32.89 (v90(constB96, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25841, 25840])).
% 49.94/32.89 tff(25843,plain,
% 49.94/32.89 (v90(constB97, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12205, 25842])).
% 49.94/32.89 tff(25844,plain,
% 49.94/32.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2))),
% 49.94/32.89 inference(rewrite,[status(thm)],[])).
% 49.94/32.89 tff(25845,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))),
% 49.94/32.89 inference(quant_inst,[status(thm)],[])).
% 49.94/32.89 tff(25846,plain,
% 49.94/32.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2)),
% 49.94/32.89 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 49.94/32.89 tff(25847,plain,
% 49.94/32.89 (v88(constB97, 2)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[25846, 14972, 25843])).
% 49.94/32.89 tff(25848,plain,
% 49.94/32.89 (v130(constB95, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12209, 1871, 25816])).
% 49.94/32.89 tff(25849,plain,
% 49.94/32.89 (v127(constB95, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12214, 25848])).
% 49.94/32.89 tff(25850,plain,
% 49.94/32.89 (v129(constB96, 1)),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12219, 25849])).
% 49.94/32.89 tff(25851,plain,
% 49.94/32.89 (v90(constB96, 1) | (~v129(constB96, 1))),
% 49.94/32.89 inference(unit_resolution,[status(thm)],[12226, 882, 25830])).
% 49.94/32.89 tff(25852,plain,
% 49.94/32.89 (v90(constB96, 1)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25851, 25850])).
% 49.94/32.90 tff(25853,plain,
% 49.94/32.90 (v90(constB97, 1)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[12236, 25852])).
% 49.94/32.90 tff(25854,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25855,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25856,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25855, 25854])).
% 49.94/32.90 tff(25857,plain,
% 49.94/32.90 (v88(constB97, 1)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25856, 15014, 25853])).
% 49.94/32.90 tff(25858,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25859,plain,
% 49.94/32.90 (((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97)) <=> ((~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25860,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97)))),
% 49.94/32.90 inference(monotonicity,[status(thm)],[25859])).
% 49.94/32.90 tff(25861,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))),
% 49.94/32.90 inference(transitivity,[status(thm)],[25860, 25858])).
% 49.94/32.90 tff(25862,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25863,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 49.94/32.90 tff(25864,plain,
% 49.94/32.90 (v144(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25863, 15028, 25857, 25847, 25837])).
% 49.94/32.90 tff(25865,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25866,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25867,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 49.94/32.90 tff(25868,plain,
% 49.94/32.90 (v142(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25867, 15042, 25864])).
% 49.94/32.90 tff(25869,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB97)) | v198(constB97))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB97)) | v198(constB97))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25870,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB97)) | v198(constB97))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25871,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB97)) | v198(constB97)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25870, 25869])).
% 49.94/32.90 tff(25872,plain,
% 49.94/32.90 (v198(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25871, 15053, 25868])).
% 49.94/32.90 tff(25873,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB97)) | (~v201(constB97)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB97)) | (~v201(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25874,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB97)) | (~v201(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25875,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB97)) | (~v201(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 49.94/32.90 tff(25876,plain,
% 49.94/32.90 (~v201(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25875, 15064, 25872])).
% 49.94/32.90 tff(25877,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB97) | (~v198(constB97)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB97) | (~v198(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25878,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB97) | (~v198(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25879,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB97) | (~v198(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25878, 25877])).
% 49.94/32.90 tff(25880,plain,
% 49.94/32.90 (v197(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25879, 15078, 25872])).
% 49.94/32.90 tff(25881,plain,
% 49.94/32.90 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB97) | v201(constB97) | (~v197(constB97)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB97) | v201(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25882,plain,
% 49.94/32.90 (((~v197(constB97)) | v201(constB97) | v227(constB97)) <=> (v227(constB97) | v201(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25883,plain,
% 49.94/32.90 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB97)) | v201(constB97) | v227(constB97))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB97) | v201(constB97) | (~v197(constB97))))),
% 49.94/32.90 inference(monotonicity,[status(thm)],[25882])).
% 49.94/32.90 tff(25884,plain,
% 49.94/32.90 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB97)) | v201(constB97) | v227(constB97))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB97) | v201(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(transitivity,[status(thm)],[25883, 25881])).
% 49.94/32.90 tff(25885,plain,
% 49.94/32.90 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB97)) | v201(constB97) | v227(constB97))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25886,plain,
% 49.94/32.90 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB97) | v201(constB97) | (~v197(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25885, 25884])).
% 49.94/32.90 tff(25887,plain,
% 49.94/32.90 (v227(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25886, 15092, 25880, 25876])).
% 49.94/32.90 tff(25888,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB97)) | (~v223(constB97, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB97)) | (~v223(constB97, 0)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25889,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB97)) | (~v223(constB97, 0)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25890,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB97)) | (~v223(constB97, 0))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25889, 25888])).
% 49.94/32.90 tff(25891,plain,
% 49.94/32.90 (~v223(constB97, 0)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25890, 15109, 25887])).
% 49.94/32.90 tff(25892,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB97)) | v223(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB97)) | v223(constB97, 0))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25893,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB97)) | v223(constB97, 0))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25894,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB97)) | v223(constB97, 0)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25893, 25892])).
% 49.94/32.90 tff(25895,plain,
% 49.94/32.90 (~v222(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25894, 15120, 25891])).
% 49.94/32.90 tff(25896,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25897,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25898,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25897, 25896])).
% 49.94/32.90 tff(25899,plain,
% 49.94/32.90 (~v139(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25898, 15131, 25857])).
% 49.94/32.90 tff(25900,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25901,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25902,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25901, 25900])).
% 49.94/32.90 tff(25903,plain,
% 49.94/32.90 (~v140(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25902, 15142, 25857])).
% 49.94/32.90 tff(25904,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v200(constB97)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB97) | v140(constB97) | (~v200(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25905,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v200(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25906,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB97) | v140(constB97) | (~v200(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25905, 25904])).
% 49.94/32.90 tff(25907,plain,
% 49.94/32.90 (~v200(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25906, 15156, 25903, 25899])).
% 49.94/32.90 tff(25908,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB97)) | (~v88(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB97)) | (~v88(constB97, 2)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25909,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB97)) | (~v88(constB97, 2)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25910,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB97)) | (~v88(constB97, 2))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25909, 25908])).
% 49.94/32.90 tff(25911,plain,
% 49.94/32.90 (~v141(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25910, 15167, 25847])).
% 49.94/32.90 tff(25912,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB97) | v200(constB97) | (~v166(constB97)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB97) | v200(constB97) | (~v166(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25913,plain,
% 49.94/32.90 ((v141(constB97) | (~v166(constB97)) | v200(constB97)) <=> (v141(constB97) | v200(constB97) | (~v166(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25914,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB97) | (~v166(constB97)) | v200(constB97))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB97) | v200(constB97) | (~v166(constB97))))),
% 49.94/32.90 inference(monotonicity,[status(thm)],[25913])).
% 49.94/32.90 tff(25915,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB97) | (~v166(constB97)) | v200(constB97))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB97) | v200(constB97) | (~v166(constB97)))),
% 49.94/32.90 inference(transitivity,[status(thm)],[25914, 25912])).
% 49.94/32.90 tff(25916,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB97) | (~v166(constB97)) | v200(constB97))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25917,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB97) | v200(constB97) | (~v166(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25916, 25915])).
% 49.94/32.90 tff(25918,plain,
% 49.94/32.90 (~v166(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25917, 15181, 25911, 25907])).
% 49.94/32.90 tff(25919,plain,
% 49.94/32.90 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB97) | v166(constB97) | (~v197(constB97)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB97) | v166(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25920,plain,
% 49.94/32.90 (((~v197(constB97)) | v166(constB97) | v241(constB97)) <=> (v241(constB97) | v166(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25921,plain,
% 49.94/32.90 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB97)) | v166(constB97) | v241(constB97))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB97) | v166(constB97) | (~v197(constB97))))),
% 49.94/32.90 inference(monotonicity,[status(thm)],[25920])).
% 49.94/32.90 tff(25922,plain,
% 49.94/32.90 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB97)) | v166(constB97) | v241(constB97))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB97) | v166(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(transitivity,[status(thm)],[25921, 25919])).
% 49.94/32.90 tff(25923,plain,
% 49.94/32.90 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB97)) | v166(constB97) | v241(constB97))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25924,plain,
% 49.94/32.90 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB97) | v166(constB97) | (~v197(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25923, 25922])).
% 49.94/32.90 tff(25925,plain,
% 49.94/32.90 (v241(constB97) | (~v197(constB97))),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25924, 15198, 25918])).
% 49.94/32.90 tff(25926,plain,
% 49.94/32.90 (v241(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25925, 25880])).
% 49.94/32.90 tff(25927,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB97)) | (~v223(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB97)) | (~v223(constB97, 2)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25928,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB97)) | (~v223(constB97, 2)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25929,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB97)) | (~v223(constB97, 2))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 49.94/32.90 tff(25930,plain,
% 49.94/32.90 (~v223(constB97, 2)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25929, 15216, 25926])).
% 49.94/32.90 tff(25931,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB97)) | v223(constB97, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB97)) | v223(constB97, 2))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25932,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB97)) | v223(constB97, 2))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25933,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB97)) | v223(constB97, 2)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25932, 25931])).
% 49.94/32.90 tff(25934,plain,
% 49.94/32.90 (~v224(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25933, 15227, 25930])).
% 49.94/32.90 tff(25935,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB97) | v224(constB97) | (~v236(constB97)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB97) | v224(constB97) | (~v236(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25936,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB97) | v224(constB97) | (~v236(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25937,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB97) | v224(constB97) | (~v236(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25936, 25935])).
% 49.94/32.90 tff(25938,plain,
% 49.94/32.90 (~v236(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25937, 15241, 25934, 25895])).
% 49.94/32.90 tff(25939,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB97) | (~v232(constB97)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB97) | (~v232(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25940,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB97) | (~v232(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25941,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB97) | (~v232(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25940, 25939])).
% 49.94/32.90 tff(25942,plain,
% 49.94/32.90 (~v232(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25941, 15255, 25938])).
% 49.94/32.90 tff(25943,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v148(constB97)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB97) | v140(constB97) | (~v148(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25944,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v148(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25945,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB97) | v140(constB97) | (~v148(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 49.94/32.90 tff(25946,plain,
% 49.94/32.90 (~v148(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25945, 15269, 25903, 25899])).
% 49.94/32.90 tff(25947,plain,
% 49.94/32.90 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB97) | v252(constB97) | (~v197(constB97)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB97) | v252(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25948,plain,
% 49.94/32.90 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB97) | v252(constB97) | (~v197(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25949,plain,
% 49.94/32.90 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB97) | v252(constB97) | (~v197(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25948, 25947])).
% 49.94/32.90 tff(25950,plain,
% 49.94/32.90 (v252(constB97) | (~v197(constB97))),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25949, 15283, 25946])).
% 49.94/32.90 tff(25951,plain,
% 49.94/32.90 (v252(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25950, 25880])).
% 49.94/32.90 tff(25952,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB97)) | (~v223(constB97, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB97)) | (~v223(constB97, 3)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25953,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB97)) | (~v223(constB97, 3)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25954,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB97)) | (~v223(constB97, 3))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25953, 25952])).
% 49.94/32.90 tff(25955,plain,
% 49.94/32.90 (~v223(constB97, 3)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25954, 15298, 25951])).
% 49.94/32.90 tff(25956,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB97)) | v223(constB97, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB97)) | v223(constB97, 3))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25957,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB97)) | v223(constB97, 3))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25958,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB97)) | v223(constB97, 3)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25957, 25956])).
% 49.94/32.90 tff(25959,plain,
% 49.94/32.90 (~v237(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25958, 15309, 25955])).
% 49.94/32.90 tff(25960,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB97) | v237(constB97) | (~v248(constB97)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB97) | v237(constB97) | (~v248(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25961,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB97) | v237(constB97) | (~v248(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25962,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB97) | v237(constB97) | (~v248(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25961, 25960])).
% 49.94/32.90 tff(25963,plain,
% 49.94/32.90 (v232(constB97) | (~v248(constB97))),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25962, 15323, 25959])).
% 49.94/32.90 tff(25964,plain,
% 49.94/32.90 (~v248(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25963, 25942])).
% 49.94/32.90 tff(25965,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB97) | (~v244(constB97)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB97) | (~v244(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25966,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB97) | (~v244(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25967,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB97) | (~v244(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25966, 25965])).
% 49.94/32.90 tff(25968,plain,
% 49.94/32.90 (~v244(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25967, 15338, 25964])).
% 49.94/32.90 tff(25969,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB97) | (~v216(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB97) | (~v216(constB97, 1)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25970,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB97) | (~v216(constB97, 1)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25971,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB97) | (~v216(constB97, 1))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25970, 25969])).
% 49.94/32.90 tff(25972,plain,
% 49.94/32.90 (~v216(constB97, 1)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25971, 15352, 25968])).
% 49.94/32.90 tff(25973,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB97)) | v216(constB97, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB97)) | v216(constB97, 1))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25974,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB97)) | v216(constB97, 1))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25975,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB97)) | v216(constB97, 1)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 49.94/32.90 tff(25976,plain,
% 49.94/32.90 (~v254(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25975, 15363, 25972])).
% 49.94/32.90 tff(25977,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB97) | (~v221(constB97)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB97) | (~v221(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25978,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB97) | (~v221(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25979,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB97) | (~v221(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25978, 25977])).
% 49.94/32.90 tff(25980,plain,
% 49.94/32.90 (~v221(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25979, 15377, 25934])).
% 49.94/32.90 tff(25981,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB97) | (~v231(constB97)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB97) | (~v231(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25982,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB97) | (~v231(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25983,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB97) | (~v231(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25982, 25981])).
% 49.94/32.90 tff(25984,plain,
% 49.94/32.90 (~v231(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25983, 15391, 25959])).
% 49.94/32.90 tff(25985,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB97) | v231(constB97) | (~v243(constB97)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB97) | v231(constB97) | (~v243(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25986,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB97) | v231(constB97) | (~v243(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25987,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB97) | v231(constB97) | (~v243(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25986, 25985])).
% 49.94/32.90 tff(25988,plain,
% 49.94/32.90 (~v243(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25987, 15405, 25984, 25980])).
% 49.94/32.90 tff(25989,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB97) | v255(constB97))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB97) | v255(constB97))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25990,plain,
% 49.94/32.90 ((v255(constB97) | v243(constB97)) <=> (v243(constB97) | v255(constB97))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25991,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB97) | v243(constB97))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB97) | v255(constB97)))),
% 49.94/32.90 inference(monotonicity,[status(thm)],[25990])).
% 49.94/32.90 tff(25992,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB97) | v243(constB97))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB97) | v255(constB97))),
% 49.94/32.90 inference(transitivity,[status(thm)],[25991, 25989])).
% 49.94/32.90 tff(25993,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB97) | v243(constB97))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25994,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB97) | v255(constB97)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25993, 25992])).
% 49.94/32.90 tff(25995,plain,
% 49.94/32.90 (v255(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25994, 15416, 25988])).
% 49.94/32.90 tff(25996,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB97)) | (~v216(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB97)) | (~v216(constB97, 2)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(25997,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB97)) | (~v216(constB97, 2)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(25998,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB97)) | (~v216(constB97, 2))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[25997, 25996])).
% 49.94/32.90 tff(25999,plain,
% 49.94/32.90 (~v216(constB97, 2)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[25998, 15433, 25995])).
% 49.94/32.90 tff(26000,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB97) | v216(constB97, 2) | (~v215(constB97)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB97) | v216(constB97, 2) | (~v215(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26001,plain,
% 49.94/32.90 ((v216(constB97, 2) | v254(constB97) | (~v215(constB97))) <=> (v254(constB97) | v216(constB97, 2) | (~v215(constB97)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26002,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB97, 2) | v254(constB97) | (~v215(constB97)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB97) | v216(constB97, 2) | (~v215(constB97))))),
% 49.94/32.90 inference(monotonicity,[status(thm)],[26001])).
% 49.94/32.90 tff(26003,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB97, 2) | v254(constB97) | (~v215(constB97)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB97) | v216(constB97, 2) | (~v215(constB97)))),
% 49.94/32.90 inference(transitivity,[status(thm)],[26002, 26000])).
% 49.94/32.90 tff(26004,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB97, 2) | v254(constB97) | (~v215(constB97)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26005,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB97) | v216(constB97, 2) | (~v215(constB97))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26004, 26003])).
% 49.94/32.90 tff(26006,plain,
% 49.94/32.90 (v254(constB97) | (~v215(constB97))),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26005, 15447, 25999])).
% 49.94/32.90 tff(26007,plain,
% 49.94/32.90 (~v215(constB97)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26006, 25976])).
% 49.94/32.90 tff(26008,plain,
% 49.94/32.90 ($false),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26007, 25724])).
% 49.94/32.90 tff(26009,plain,(~(constB97 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.90 tff(26010,assumption,(constB77 = sK_VarCurr), introduced(assumption)).
% 49.94/32.90 tff(26011,plain,
% 49.94/32.90 (v215(constB77) <=> v215(sK_VarCurr)),
% 49.94/32.90 inference(monotonicity,[status(thm)],[26010])).
% 49.94/32.90 tff(26012,plain,
% 49.94/32.90 (v215(sK_VarCurr) <=> v215(constB77)),
% 49.94/32.90 inference(symmetry,[status(thm)],[26011])).
% 49.94/32.90 tff(26013,plain,
% 49.94/32.90 (v215(constB77)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[34, 26012])).
% 49.94/32.90 tff(26014,plain,
% 49.94/32.90 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ((~v88(VarCurr, 2)) | v90(VarCurr, 2)))),
% 49.94/32.90 inference(bind,[status(th)],[])).
% 49.94/32.90 tff(26015,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 49.94/32.90 inference(quant_intro,[status(thm)],[26014])).
% 49.94/32.90 tff(26016,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26017,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 49.94/32.90 tff(26018,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 49.94/32.90 tff(26019,plain,(
% 49.94/32.90 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 49.94/32.90 inference(skolemize,[status(sab)],[26018])).
% 49.94/32.90 tff(26020,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26019, 26015])).
% 49.94/32.90 tff(26021,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB77, 2)) | v90(constB77, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB77, 2)) | v90(constB77, 2))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26022,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB77, 2)) | v90(constB77, 2))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26023,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB77, 2)) | v90(constB77, 2)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26022, 26021])).
% 49.94/32.90 tff(26024,plain,
% 49.94/32.90 (~v88(constB77, 2)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26023, 26020, 9327])).
% 49.94/32.90 tff(26025,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB77, 0)) | v90(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB77, 0)) | v90(constB77, 0))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26026,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB77, 0)) | v90(constB77, 0))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26027,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB77, 0)) | v90(constB77, 0)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 49.94/32.90 tff(26028,plain,
% 49.94/32.90 (~v88(constB77, 0)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26027, 14930, 9392])).
% 49.94/32.90 tff(26029,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB77, 1)) | v88(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB77, 1)) | v88(constB77, 1))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26030,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB77, 1)) | v88(constB77, 1))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26031,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB77, 1)) | v88(constB77, 1)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26030, 26029])).
% 49.94/32.90 tff(26032,plain,
% 49.94/32.90 (v88(constB77, 1)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26031, 15014, 9358])).
% 49.94/32.90 tff(26033,plain,
% 49.94/32.90 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)))),
% 49.94/32.90 inference(bind,[status(th)],[])).
% 49.94/32.90 tff(26034,plain,
% 49.94/32.90 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 49.94/32.90 inference(quant_intro,[status(thm)],[26033])).
% 49.94/32.90 tff(26035,plain,
% 49.94/32.90 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26036,plain,
% 49.94/32.90 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))))),
% 49.94/32.90 inference(bind,[status(th)],[])).
% 49.94/32.90 tff(26037,plain,
% 49.94/32.90 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 49.94/32.90 inference(quant_intro,[status(thm)],[26036])).
% 49.94/32.90 tff(26038,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 49.94/32.90 tff(26039,plain,
% 49.94/32.90 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26038, 26037])).
% 49.94/32.90 tff(26040,plain,
% 49.94/32.90 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26039, 26035])).
% 49.94/32.90 tff(26041,plain,(
% 49.94/32.90 ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 49.94/32.90 inference(skolemize,[status(sab)],[26040])).
% 49.94/32.90 tff(26042,plain,
% 49.94/32.90 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26041, 26034])).
% 49.94/32.90 tff(26043,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26044,plain,
% 49.94/32.90 ((v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77)) <=> (v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26045,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77)))),
% 49.94/32.90 inference(monotonicity,[status(thm)],[26044])).
% 49.94/32.90 tff(26046,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))),
% 49.94/32.90 inference(transitivity,[status(thm)],[26045, 26043])).
% 49.94/32.90 tff(26047,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26048,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26047, 26046])).
% 49.94/32.90 tff(26049,plain,
% 49.94/32.90 (v143(constB77)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26048, 26042, 26032, 26028, 26024])).
% 49.94/32.90 tff(26050,plain,
% 49.94/32.90 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | v142(VarCurr)) <=> ((~v143(VarCurr)) | v142(VarCurr)))),
% 49.94/32.90 inference(bind,[status(th)],[])).
% 49.94/32.90 tff(26051,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 49.94/32.90 inference(quant_intro,[status(thm)],[26050])).
% 49.94/32.90 tff(26052,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26053,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 49.94/32.90 tff(26054,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26053, 26052])).
% 49.94/32.90 tff(26055,plain,(
% 49.94/32.90 ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 49.94/32.90 inference(skolemize,[status(sab)],[26054])).
% 49.94/32.90 tff(26056,plain,
% 49.94/32.90 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26055, 26051])).
% 49.94/32.90 tff(26057,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26058,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26059,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26058, 26057])).
% 49.94/32.90 tff(26060,plain,
% 49.94/32.90 (v142(constB77)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26059, 26056, 26049])).
% 49.94/32.90 tff(26061,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB77)) | v198(constB77))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB77)) | v198(constB77))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26062,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB77)) | v198(constB77))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26063,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB77)) | v198(constB77)),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26062, 26061])).
% 49.94/32.90 tff(26064,plain,
% 49.94/32.90 (v198(constB77)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26063, 15053, 26060])).
% 49.94/32.90 tff(26065,plain,
% 49.94/32.90 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB77)) | (~v201(constB77)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB77)) | (~v201(constB77)))),
% 49.94/32.90 inference(rewrite,[status(thm)],[])).
% 49.94/32.90 tff(26066,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB77)) | (~v201(constB77)))),
% 49.94/32.90 inference(quant_inst,[status(thm)],[])).
% 49.94/32.90 tff(26067,plain,
% 49.94/32.90 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB77)) | (~v201(constB77))),
% 49.94/32.90 inference(modus_ponens,[status(thm)],[26066, 26065])).
% 49.94/32.90 tff(26068,plain,
% 49.94/32.90 (~v201(constB77)),
% 49.94/32.90 inference(unit_resolution,[status(thm)],[26067, 15064, 26064])).
% 49.94/32.90 tff(26069,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB77) | (~v198(constB77)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB77) | (~v198(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26070,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB77) | (~v198(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26071,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB77) | (~v198(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26070, 26069])).
% 49.94/32.91 tff(26072,plain,
% 49.94/32.91 (v197(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26071, 15078, 26064])).
% 49.94/32.91 tff(26073,plain,
% 49.94/32.91 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB77) | (~v197(constB77)) | v201(constB77))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB77) | (~v197(constB77)) | v201(constB77))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26074,plain,
% 49.94/32.91 (((~v197(constB77)) | v201(constB77) | v227(constB77)) <=> (v227(constB77) | (~v197(constB77)) | v201(constB77))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26075,plain,
% 49.94/32.91 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB77)) | v201(constB77) | v227(constB77))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB77) | (~v197(constB77)) | v201(constB77)))),
% 49.94/32.91 inference(monotonicity,[status(thm)],[26074])).
% 49.94/32.91 tff(26076,plain,
% 49.94/32.91 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB77)) | v201(constB77) | v227(constB77))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB77) | (~v197(constB77)) | v201(constB77))),
% 49.94/32.91 inference(transitivity,[status(thm)],[26075, 26073])).
% 49.94/32.91 tff(26077,plain,
% 49.94/32.91 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB77)) | v201(constB77) | v227(constB77))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26078,plain,
% 49.94/32.91 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB77) | (~v197(constB77)) | v201(constB77)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26077, 26076])).
% 49.94/32.91 tff(26079,plain,
% 49.94/32.91 (v227(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26078, 15092, 26072, 26068])).
% 49.94/32.91 tff(26080,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB77)) | (~v223(constB77, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB77)) | (~v223(constB77, 0)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26081,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB77)) | (~v223(constB77, 0)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26082,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB77)) | (~v223(constB77, 0))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26081, 26080])).
% 49.94/32.91 tff(26083,plain,
% 49.94/32.91 (~v223(constB77, 0)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26082, 15109, 26079])).
% 49.94/32.91 tff(26084,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB77)) | v223(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB77)) | v223(constB77, 0))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26085,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB77)) | v223(constB77, 0))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26086,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB77)) | v223(constB77, 0)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26085, 26084])).
% 49.94/32.91 tff(26087,plain,
% 49.94/32.91 (~v222(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26086, 15120, 26083])).
% 49.94/32.91 tff(26088,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB77)) | (~v88(constB77, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB77)) | (~v88(constB77, 1)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26089,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB77)) | (~v88(constB77, 1)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26090,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB77)) | (~v88(constB77, 1))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26089, 26088])).
% 49.94/32.91 tff(26091,plain,
% 49.94/32.91 (~v139(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26090, 15131, 26032])).
% 49.94/32.91 tff(26092,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB77)) | (~v88(constB77, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB77)) | (~v88(constB77, 1)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26093,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB77)) | (~v88(constB77, 1)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26094,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB77)) | (~v88(constB77, 1))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26093, 26092])).
% 49.94/32.91 tff(26095,plain,
% 49.94/32.91 (~v140(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26094, 15142, 26032])).
% 49.94/32.91 tff(26096,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v200(constB77)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB77) | v140(constB77) | (~v200(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26097,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v200(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26098,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB77) | v140(constB77) | (~v200(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26097, 26096])).
% 49.94/32.91 tff(26099,plain,
% 49.94/32.91 (~v200(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26098, 15156, 26095, 26091])).
% 49.94/32.91 tff(26100,plain,
% 49.94/32.91 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v88(VarCurr, 0)) <=> ((~v141(VarCurr)) | v88(VarCurr, 0)))),
% 49.94/32.91 inference(bind,[status(th)],[])).
% 49.94/32.91 tff(26101,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(quant_intro,[status(thm)],[26100])).
% 49.94/32.91 tff(26102,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26103,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_3')).
% 49.94/32.91 tff(26104,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26103, 26102])).
% 49.94/32.91 tff(26105,plain,(
% 49.94/32.91 ![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(skolemize,[status(sab)],[26104])).
% 49.94/32.91 tff(26106,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26105, 26101])).
% 49.94/32.91 tff(26107,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB77)) | v88(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB77)) | v88(constB77, 0))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26108,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB77)) | v88(constB77, 0))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26109,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB77)) | v88(constB77, 0)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26108, 26107])).
% 49.94/32.91 tff(26110,plain,
% 49.94/32.91 (~v141(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26109, 26106, 26028])).
% 49.94/32.91 tff(26111,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB77) | v200(constB77) | (~v166(constB77)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB77) | v200(constB77) | (~v166(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26112,plain,
% 49.94/32.91 ((v141(constB77) | (~v166(constB77)) | v200(constB77)) <=> (v141(constB77) | v200(constB77) | (~v166(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26113,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB77) | (~v166(constB77)) | v200(constB77))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB77) | v200(constB77) | (~v166(constB77))))),
% 49.94/32.91 inference(monotonicity,[status(thm)],[26112])).
% 49.94/32.91 tff(26114,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB77) | (~v166(constB77)) | v200(constB77))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB77) | v200(constB77) | (~v166(constB77)))),
% 49.94/32.91 inference(transitivity,[status(thm)],[26113, 26111])).
% 49.94/32.91 tff(26115,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB77) | (~v166(constB77)) | v200(constB77))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26116,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB77) | v200(constB77) | (~v166(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26115, 26114])).
% 49.94/32.91 tff(26117,plain,
% 49.94/32.91 (~v166(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26116, 15181, 26110, 26099])).
% 49.94/32.91 tff(26118,plain,
% 49.94/32.91 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB77) | v166(constB77) | (~v197(constB77)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB77) | v166(constB77) | (~v197(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26119,plain,
% 49.94/32.91 (((~v197(constB77)) | v166(constB77) | v241(constB77)) <=> (v241(constB77) | v166(constB77) | (~v197(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26120,plain,
% 49.94/32.91 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB77)) | v166(constB77) | v241(constB77))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB77) | v166(constB77) | (~v197(constB77))))),
% 49.94/32.91 inference(monotonicity,[status(thm)],[26119])).
% 49.94/32.91 tff(26121,plain,
% 49.94/32.91 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB77)) | v166(constB77) | v241(constB77))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB77) | v166(constB77) | (~v197(constB77)))),
% 49.94/32.91 inference(transitivity,[status(thm)],[26120, 26118])).
% 49.94/32.91 tff(26122,plain,
% 49.94/32.91 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB77)) | v166(constB77) | v241(constB77))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26123,plain,
% 49.94/32.91 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB77) | v166(constB77) | (~v197(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26122, 26121])).
% 49.94/32.91 tff(26124,plain,
% 49.94/32.91 (v241(constB77) | (~v197(constB77))),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26123, 15198, 26117])).
% 49.94/32.91 tff(26125,plain,
% 49.94/32.91 (v241(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26124, 26072])).
% 49.94/32.91 tff(26126,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB77)) | (~v223(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB77)) | (~v223(constB77, 2)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26127,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB77)) | (~v223(constB77, 2)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26128,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB77)) | (~v223(constB77, 2))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 49.94/32.91 tff(26129,plain,
% 49.94/32.91 (~v223(constB77, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26128, 15216, 26125])).
% 49.94/32.91 tff(26130,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB77)) | v223(constB77, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB77)) | v223(constB77, 2))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26131,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB77)) | v223(constB77, 2))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26132,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB77)) | v223(constB77, 2)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26131, 26130])).
% 49.94/32.91 tff(26133,plain,
% 49.94/32.91 (~v224(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26132, 15227, 26129])).
% 49.94/32.91 tff(26134,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB77) | v224(constB77) | (~v236(constB77)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB77) | v224(constB77) | (~v236(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26135,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB77) | v224(constB77) | (~v236(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26136,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB77) | v224(constB77) | (~v236(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26135, 26134])).
% 49.94/32.91 tff(26137,plain,
% 49.94/32.91 (~v236(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26136, 15241, 26133, 26087])).
% 49.94/32.91 tff(26138,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB77) | (~v232(constB77)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB77) | (~v232(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26139,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB77) | (~v232(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26140,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB77) | (~v232(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26139, 26138])).
% 49.94/32.91 tff(26141,plain,
% 49.94/32.91 (~v232(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26140, 15255, 26137])).
% 49.94/32.91 tff(26142,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v148(constB77)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB77) | v140(constB77) | (~v148(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26143,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v148(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26144,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB77) | v140(constB77) | (~v148(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26143, 26142])).
% 49.94/32.91 tff(26145,plain,
% 49.94/32.91 (~v148(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26144, 15269, 26095, 26091])).
% 49.94/32.91 tff(26146,plain,
% 49.94/32.91 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB77) | v252(constB77) | (~v197(constB77)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB77) | v252(constB77) | (~v197(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26147,plain,
% 49.94/32.91 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB77) | v252(constB77) | (~v197(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26148,plain,
% 49.94/32.91 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB77) | v252(constB77) | (~v197(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26147, 26146])).
% 49.94/32.91 tff(26149,plain,
% 49.94/32.91 (v252(constB77) | (~v197(constB77))),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26148, 15283, 26145])).
% 49.94/32.91 tff(26150,plain,
% 49.94/32.91 (v252(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26149, 26072])).
% 49.94/32.91 tff(26151,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB77)) | (~v223(constB77, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB77)) | (~v223(constB77, 3)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26152,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB77)) | (~v223(constB77, 3)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26153,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB77)) | (~v223(constB77, 3))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26152, 26151])).
% 49.94/32.91 tff(26154,plain,
% 49.94/32.91 (~v223(constB77, 3)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26153, 15298, 26150])).
% 49.94/32.91 tff(26155,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB77)) | v223(constB77, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB77)) | v223(constB77, 3))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26156,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB77)) | v223(constB77, 3))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26157,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB77)) | v223(constB77, 3)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26156, 26155])).
% 49.94/32.91 tff(26158,plain,
% 49.94/32.91 (~v237(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26157, 15309, 26154])).
% 49.94/32.91 tff(26159,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB77) | v237(constB77) | (~v248(constB77)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB77) | v237(constB77) | (~v248(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26160,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB77) | v237(constB77) | (~v248(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26161,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB77) | v237(constB77) | (~v248(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 49.94/32.91 tff(26162,plain,
% 49.94/32.91 (v232(constB77) | (~v248(constB77))),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26161, 15323, 26158])).
% 49.94/32.91 tff(26163,plain,
% 49.94/32.91 (~v248(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26162, 26141])).
% 49.94/32.91 tff(26164,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB77) | (~v244(constB77)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB77) | (~v244(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26165,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB77) | (~v244(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26166,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB77) | (~v244(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 49.94/32.91 tff(26167,plain,
% 49.94/32.91 (~v244(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26166, 15338, 26163])).
% 49.94/32.91 tff(26168,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB77) | (~v216(constB77, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB77) | (~v216(constB77, 1)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26169,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB77) | (~v216(constB77, 1)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26170,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB77) | (~v216(constB77, 1))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26169, 26168])).
% 49.94/32.91 tff(26171,plain,
% 49.94/32.91 (~v216(constB77, 1)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26170, 15352, 26167])).
% 49.94/32.91 tff(26172,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB77)) | v216(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB77)) | v216(constB77, 1))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26173,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB77)) | v216(constB77, 1))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26174,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB77)) | v216(constB77, 1)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26173, 26172])).
% 49.94/32.91 tff(26175,plain,
% 49.94/32.91 (~v254(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26174, 15363, 26171])).
% 49.94/32.91 tff(26176,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB77) | (~v221(constB77)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB77) | (~v221(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26177,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB77) | (~v221(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26178,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB77) | (~v221(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26177, 26176])).
% 49.94/32.91 tff(26179,plain,
% 49.94/32.91 (~v221(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26178, 15377, 26133])).
% 49.94/32.91 tff(26180,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB77) | (~v231(constB77)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB77) | (~v231(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26181,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB77) | (~v231(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26182,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB77) | (~v231(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26181, 26180])).
% 49.94/32.91 tff(26183,plain,
% 49.94/32.91 (~v231(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26182, 15391, 26158])).
% 49.94/32.91 tff(26184,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB77) | v231(constB77) | (~v243(constB77)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB77) | v231(constB77) | (~v243(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26185,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB77) | v231(constB77) | (~v243(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26186,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB77) | v231(constB77) | (~v243(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26185, 26184])).
% 49.94/32.91 tff(26187,plain,
% 49.94/32.91 (~v243(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26186, 15405, 26183, 26179])).
% 49.94/32.91 tff(26188,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB77) | v255(constB77))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB77) | v255(constB77))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26189,plain,
% 49.94/32.91 ((v255(constB77) | v243(constB77)) <=> (v243(constB77) | v255(constB77))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26190,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB77) | v243(constB77))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB77) | v255(constB77)))),
% 49.94/32.91 inference(monotonicity,[status(thm)],[26189])).
% 49.94/32.91 tff(26191,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB77) | v243(constB77))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB77) | v255(constB77))),
% 49.94/32.91 inference(transitivity,[status(thm)],[26190, 26188])).
% 49.94/32.91 tff(26192,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB77) | v243(constB77))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26193,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB77) | v255(constB77)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26192, 26191])).
% 49.94/32.91 tff(26194,plain,
% 49.94/32.91 (v255(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26193, 15416, 26187])).
% 49.94/32.91 tff(26195,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB77)) | (~v216(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB77)) | (~v216(constB77, 2)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26196,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB77)) | (~v216(constB77, 2)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26197,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB77)) | (~v216(constB77, 2))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26196, 26195])).
% 49.94/32.91 tff(26198,plain,
% 49.94/32.91 (~v216(constB77, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26197, 15433, 26194])).
% 49.94/32.91 tff(26199,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB77) | v216(constB77, 2) | (~v215(constB77)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB77) | v216(constB77, 2) | (~v215(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26200,plain,
% 49.94/32.91 ((v216(constB77, 2) | v254(constB77) | (~v215(constB77))) <=> (v254(constB77) | v216(constB77, 2) | (~v215(constB77)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26201,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB77, 2) | v254(constB77) | (~v215(constB77)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB77) | v216(constB77, 2) | (~v215(constB77))))),
% 49.94/32.91 inference(monotonicity,[status(thm)],[26200])).
% 49.94/32.91 tff(26202,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB77, 2) | v254(constB77) | (~v215(constB77)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB77) | v216(constB77, 2) | (~v215(constB77)))),
% 49.94/32.91 inference(transitivity,[status(thm)],[26201, 26199])).
% 49.94/32.91 tff(26203,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB77, 2) | v254(constB77) | (~v215(constB77)))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26204,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB77) | v216(constB77, 2) | (~v215(constB77))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26203, 26202])).
% 49.94/32.91 tff(26205,plain,
% 49.94/32.91 (v254(constB77) | (~v215(constB77))),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26204, 15447, 26198])).
% 49.94/32.91 tff(26206,plain,
% 49.94/32.91 (~v215(constB77)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26205, 26175])).
% 49.94/32.91 tff(26207,plain,
% 49.94/32.91 ($false),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26206, 26013])).
% 49.94/32.91 tff(26208,plain,(~(constB77 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.91 tff(26209,assumption,(constB103 = sK_VarCurr), introduced(assumption)).
% 49.94/32.91 tff(26210,plain,
% 49.94/32.91 (v215(constB103) <=> v215(sK_VarCurr)),
% 49.94/32.91 inference(monotonicity,[status(thm)],[26209])).
% 49.94/32.91 tff(26211,plain,
% 49.94/32.91 (v215(sK_VarCurr) <=> v215(constB103)),
% 49.94/32.91 inference(symmetry,[status(thm)],[26210])).
% 49.94/32.91 tff(26212,plain,
% 49.94/32.91 (v215(constB103)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[34, 26211])).
% 49.94/32.91 tff(26213,plain,
% 49.94/32.91 (v117(constB101)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12701, 1001, 12694])).
% 49.94/32.91 tff(26214,plain,
% 49.94/32.91 (v116(constB101)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12708, 224, 26213])).
% 49.94/32.91 tff(26215,plain,
% 49.94/32.91 (v115(constB101)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12715, 238, 26214])).
% 49.94/32.91 tff(26216,plain,
% 49.94/32.91 (v114(constB101)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12722, 252, 26215])).
% 49.94/32.91 tff(26217,plain,
% 49.94/32.91 (v113(constB101)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12726, 266, 26216])).
% 49.94/32.91 tff(26218,plain,
% 49.94/32.91 (v112(constB101)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12963, 26217])).
% 49.94/32.91 tff(26219,plain,
% 49.94/32.91 (v108(constB101)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12970, 292, 26218])).
% 49.94/32.91 tff(26220,plain,
% 49.94/32.91 (v110(constB102)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[12978, 26219])).
% 49.94/32.91 tff(26221,plain,
% 49.94/32.91 (v100(constB102)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13001, 26220])).
% 49.94/32.91 tff(26222,plain,
% 49.94/32.91 (~v130(constB101, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13005, 1090, 12694])).
% 49.94/32.91 tff(26223,plain,
% 49.94/32.91 (~v127(constB101, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13013, 26222])).
% 49.94/32.91 tff(26224,plain,
% 49.94/32.91 (~v129(constB102, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13018, 26223])).
% 49.94/32.91 tff(26225,plain,
% 49.94/32.91 ((~v90(constB102, 2)) | (~v100(constB102))),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13022, 626, 26224])).
% 49.94/32.91 tff(26226,plain,
% 49.94/32.91 (~v90(constB102, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26225, 26221])).
% 49.94/32.91 tff(26227,plain,
% 49.94/32.91 (~v90(constB103, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13050, 26226])).
% 49.94/32.91 tff(26228,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB103, 2)) | v90(constB103, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB103, 2)) | v90(constB103, 2))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26229,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB103, 2)) | v90(constB103, 2))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26230,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB103, 2)) | v90(constB103, 2)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26229, 26228])).
% 49.94/32.91 tff(26231,plain,
% 49.94/32.91 (~v88(constB103, 2)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26230, 26020, 26227])).
% 49.94/32.91 tff(26232,plain,
% 49.94/32.91 (v130(constB101, 1)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13085, 1146, 12694])).
% 49.94/32.91 tff(26233,plain,
% 49.94/32.91 (v127(constB101, 1)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13090, 26232])).
% 49.94/32.91 tff(26234,plain,
% 49.94/32.91 (v129(constB102, 1)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13095, 26233])).
% 49.94/32.91 tff(26235,plain,
% 49.94/32.91 (v90(constB102, 1) | (~v100(constB102))),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13102, 882, 26234])).
% 49.94/32.91 tff(26236,plain,
% 49.94/32.91 (v90(constB102, 1)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26235, 26221])).
% 49.94/32.91 tff(26237,plain,
% 49.94/32.91 (v90(constB103, 1)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13112, 26236])).
% 49.94/32.91 tff(26238,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB103, 1)) | v88(constB103, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB103, 1)) | v88(constB103, 1))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26239,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB103, 1)) | v88(constB103, 1))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26240,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB103, 1)) | v88(constB103, 1)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 49.94/32.91 tff(26241,plain,
% 49.94/32.91 (v88(constB103, 1)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26240, 15014, 26237])).
% 49.94/32.91 tff(26242,plain,
% 49.94/32.91 (v130(constB101, 0)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13054, 1184, 12694])).
% 49.94/32.91 tff(26243,plain,
% 49.94/32.91 (v127(constB101, 0)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13059, 26242])).
% 49.94/32.91 tff(26244,plain,
% 49.94/32.91 (v129(constB102, 0)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13064, 26243])).
% 49.94/32.91 tff(26245,plain,
% 49.94/32.91 (v90(constB102, 0) | (~v100(constB102))),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13071, 545, 26244])).
% 49.94/32.91 tff(26246,plain,
% 49.94/32.91 (v90(constB102, 0)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26245, 26221])).
% 49.94/32.91 tff(26247,plain,
% 49.94/32.91 (v90(constB103, 0)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[13081, 26246])).
% 49.94/32.91 tff(26248,plain,
% 49.94/32.91 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ((~v90(VarCurr, 0)) | v88(VarCurr, 0)))),
% 49.94/32.91 inference(bind,[status(th)],[])).
% 49.94/32.91 tff(26249,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(quant_intro,[status(thm)],[26248])).
% 49.94/32.91 tff(26250,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26251,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 49.94/32.91 tff(26252,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26251, 26250])).
% 49.94/32.91 tff(26253,plain,(
% 49.94/32.91 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(skolemize,[status(sab)],[26252])).
% 49.94/32.91 tff(26254,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26253, 26249])).
% 49.94/32.91 tff(26255,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB103, 0)) | v88(constB103, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB103, 0)) | v88(constB103, 0))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26256,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB103, 0)) | v88(constB103, 0))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26257,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB103, 0)) | v88(constB103, 0)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 49.94/32.91 tff(26258,plain,
% 49.94/32.91 (v88(constB103, 0)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26257, 26254, 26247])).
% 49.94/32.91 tff(26259,plain,
% 49.94/32.91 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)))),
% 49.94/32.91 inference(bind,[status(th)],[])).
% 49.94/32.91 tff(26260,plain,
% 49.94/32.91 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 49.94/32.91 inference(quant_intro,[status(thm)],[26259])).
% 49.94/32.91 tff(26261,plain,
% 49.94/32.91 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26262,plain,
% 49.94/32.91 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 2) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))), ((((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))) | v141(VarCurr)))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))), ((((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))))),
% 49.94/32.91 inference(bind,[status(th)],[])).
% 49.94/32.91 tff(26263,plain,
% 49.94/32.91 (![VarCurr: state_type] : (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 49.94/32.91 inference(quant_intro,[status(thm)],[26262])).
% 49.94/32.91 tff(26264,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 49.94/32.91 tff(26265,plain,
% 49.94/32.91 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26264, 26263])).
% 49.94/32.91 tff(26266,plain,
% 49.94/32.91 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26265, 26261])).
% 49.94/32.91 tff(26267,plain,(
% 49.94/32.91 ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 49.94/32.91 inference(skolemize,[status(sab)],[26266])).
% 49.94/32.91 tff(26268,plain,
% 49.94/32.91 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26267, 26260])).
% 49.94/32.91 tff(26269,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26270,plain,
% 49.94/32.91 ((v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103)) <=> ((~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26271,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103)))),
% 49.94/32.91 inference(monotonicity,[status(thm)],[26270])).
% 49.94/32.91 tff(26272,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))),
% 49.94/32.91 inference(transitivity,[status(thm)],[26271, 26269])).
% 49.94/32.91 tff(26273,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26274,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26273, 26272])).
% 49.94/32.91 tff(26275,plain,
% 49.94/32.91 (v141(constB103)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26274, 26268, 26258, 26241, 26231])).
% 49.94/32.91 tff(26276,plain,
% 49.94/32.91 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v199(VarCurr)) <=> ((~v141(VarCurr)) | v199(VarCurr)))),
% 49.94/32.91 inference(bind,[status(th)],[])).
% 49.94/32.91 tff(26277,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))),
% 49.94/32.91 inference(quant_intro,[status(thm)],[26276])).
% 49.94/32.91 tff(26278,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26279,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_2')).
% 49.94/32.91 tff(26280,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 49.94/32.91 tff(26281,plain,(
% 49.94/32.91 ![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))),
% 49.94/32.91 inference(skolemize,[status(sab)],[26280])).
% 49.94/32.91 tff(26282,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26281, 26277])).
% 49.94/32.91 tff(26283,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB103)) | v199(constB103))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB103)) | v199(constB103))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26284,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB103)) | v199(constB103))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26285,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB103)) | v199(constB103)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26284, 26283])).
% 49.94/32.91 tff(26286,plain,
% 49.94/32.91 (v199(constB103)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26285, 26282, 26275])).
% 49.94/32.91 tff(26287,plain,
% 49.94/32.91 (^[VarCurr: state_type] : refl(((~v199(VarCurr)) | v198(VarCurr)) <=> ((~v199(VarCurr)) | v198(VarCurr)))),
% 49.94/32.91 inference(bind,[status(th)],[])).
% 49.94/32.91 tff(26288,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr)) <=> ![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))),
% 49.94/32.91 inference(quant_intro,[status(thm)],[26287])).
% 49.94/32.91 tff(26289,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr)) <=> ![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26290,axiom,(![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_1')).
% 49.94/32.91 tff(26291,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26290, 26289])).
% 49.94/32.91 tff(26292,plain,(
% 49.94/32.91 ![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))),
% 49.94/32.91 inference(skolemize,[status(sab)],[26291])).
% 49.94/32.91 tff(26293,plain,
% 49.94/32.91 (![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26292, 26288])).
% 49.94/32.91 tff(26294,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB103)) | v198(constB103))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB103)) | v198(constB103))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26295,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB103)) | v198(constB103))),
% 49.94/32.91 inference(quant_inst,[status(thm)],[])).
% 49.94/32.91 tff(26296,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB103)) | v198(constB103)),
% 49.94/32.91 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 49.94/32.91 tff(26297,plain,
% 49.94/32.91 (v198(constB103)),
% 49.94/32.91 inference(unit_resolution,[status(thm)],[26296, 26293, 26286])).
% 49.94/32.91 tff(26298,plain,
% 49.94/32.91 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB103)) | (~v201(constB103)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB103)) | (~v201(constB103)))),
% 49.94/32.91 inference(rewrite,[status(thm)],[])).
% 49.94/32.91 tff(26299,plain,
% 49.94/32.91 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB103)) | (~v201(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26300,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB103)) | (~v201(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26299, 26298])).
% 49.94/32.92 tff(26301,plain,
% 49.94/32.92 (~v201(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26300, 15064, 26297])).
% 49.94/32.92 tff(26302,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB103) | (~v198(constB103)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB103) | (~v198(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26303,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB103) | (~v198(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26304,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB103) | (~v198(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 49.94/32.92 tff(26305,plain,
% 49.94/32.92 (v197(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26304, 15078, 26297])).
% 49.94/32.92 tff(26306,plain,
% 49.94/32.92 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB103) | (~v197(constB103)) | v201(constB103))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB103) | (~v197(constB103)) | v201(constB103))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26307,plain,
% 49.94/32.92 (((~v197(constB103)) | v201(constB103) | v227(constB103)) <=> (v227(constB103) | (~v197(constB103)) | v201(constB103))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26308,plain,
% 49.94/32.92 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB103)) | v201(constB103) | v227(constB103))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB103) | (~v197(constB103)) | v201(constB103)))),
% 49.94/32.92 inference(monotonicity,[status(thm)],[26307])).
% 49.94/32.92 tff(26309,plain,
% 49.94/32.92 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB103)) | v201(constB103) | v227(constB103))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB103) | (~v197(constB103)) | v201(constB103))),
% 49.94/32.92 inference(transitivity,[status(thm)],[26308, 26306])).
% 49.94/32.92 tff(26310,plain,
% 49.94/32.92 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB103)) | v201(constB103) | v227(constB103))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26311,plain,
% 49.94/32.92 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB103) | (~v197(constB103)) | v201(constB103)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 49.94/32.92 tff(26312,plain,
% 49.94/32.92 (v227(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26311, 15092, 26305, 26301])).
% 49.94/32.92 tff(26313,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB103)) | (~v223(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB103)) | (~v223(constB103, 0)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26314,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB103)) | (~v223(constB103, 0)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26315,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB103)) | (~v223(constB103, 0))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 49.94/32.92 tff(26316,plain,
% 49.94/32.92 (~v223(constB103, 0)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26315, 15109, 26312])).
% 49.94/32.92 tff(26317,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl(((~v183(VarCurr)) | (~v199(VarCurr))) <=> ((~v183(VarCurr)) | (~v199(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26318,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26317])).
% 49.94/32.92 tff(26319,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26320,plain,
% 49.94/32.92 (^[VarCurr: state_type] : rewrite(((~v199(VarCurr)) | (~v183(VarCurr))) <=> ((~v183(VarCurr)) | (~v199(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26321,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v199(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26320])).
% 49.94/32.92 tff(26322,axiom,(![VarCurr: state_type] : ((~v199(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1_1_1')).
% 49.94/32.92 tff(26323,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 49.94/32.92 tff(26324,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26323, 26319])).
% 49.94/32.92 tff(26325,plain,(
% 49.94/32.92 ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26324])).
% 49.94/32.92 tff(26326,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26325, 26318])).
% 49.94/32.92 tff(26327,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB103)) | (~v199(constB103)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB103)) | (~v199(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26328,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB103)) | (~v199(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26329,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB103)) | (~v199(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 49.94/32.92 tff(26330,plain,
% 49.94/32.92 (~v183(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26329, 26326, 26286])).
% 49.94/32.92 tff(26331,plain,
% 49.94/32.92 (^[VarNext: state_type] : refl(((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26332,plain,
% 49.94/32.92 (![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26331])).
% 49.94/32.92 tff(26333,plain,
% 49.94/32.92 (![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26334,plain,
% 49.94/32.92 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v197(VarNext)) | v228(VarNext)) <=> ((~v197(VarNext)) | v228(VarNext))), ((((~v197(VarNext)) | v228(VarNext)) | v183(VarNext)) <=> (((~v197(VarNext)) | v228(VarNext)) | v183(VarNext)))), rewrite((((~v197(VarNext)) | v228(VarNext)) | v183(VarNext)) <=> ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))), ((((~v197(VarNext)) | v228(VarNext)) | v183(VarNext)) <=> ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26335,plain,
% 49.94/32.92 (![VarNext: state_type] : (((~v197(VarNext)) | v228(VarNext)) | v183(VarNext)) <=> ![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26334])).
% 49.94/32.92 tff(26336,axiom,(![VarNext: state_type] : (((~v197(VarNext)) | v228(VarNext)) | v183(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6_1_2')).
% 49.94/32.92 tff(26337,plain,
% 49.94/32.92 (![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26336, 26335])).
% 49.94/32.92 tff(26338,plain,
% 49.94/32.92 (![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26337, 26333])).
% 49.94/32.92 tff(26339,plain,(
% 49.94/32.92 ![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26338])).
% 49.94/32.92 tff(26340,plain,
% 49.94/32.92 (![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26339, 26332])).
% 49.94/32.92 tff(26341,plain,
% 49.94/32.92 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB103) | v183(constB103) | (~v197(constB103)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB103) | v183(constB103) | (~v197(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26342,plain,
% 49.94/32.92 (((~v197(constB103)) | v183(constB103) | v228(constB103)) <=> (v228(constB103) | v183(constB103) | (~v197(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26343,plain,
% 49.94/32.92 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB103)) | v183(constB103) | v228(constB103))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB103) | v183(constB103) | (~v197(constB103))))),
% 49.94/32.92 inference(monotonicity,[status(thm)],[26342])).
% 49.94/32.92 tff(26344,plain,
% 49.94/32.92 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB103)) | v183(constB103) | v228(constB103))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB103) | v183(constB103) | (~v197(constB103)))),
% 49.94/32.92 inference(transitivity,[status(thm)],[26343, 26341])).
% 49.94/32.92 tff(26345,plain,
% 49.94/32.92 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB103)) | v183(constB103) | v228(constB103))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26346,plain,
% 49.94/32.92 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB103) | v183(constB103) | (~v197(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 49.94/32.92 tff(26347,plain,
% 49.94/32.92 (v228(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26346, 26340, 26305, 26330])).
% 49.94/32.92 tff(26348,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl(((~v228(VarCurr)) | (~v223(VarCurr, 1))) <=> ((~v228(VarCurr)) | (~v223(VarCurr, 1))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26349,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26348])).
% 49.94/32.92 tff(26350,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26351,plain,
% 49.94/32.92 (^[VarCurr: state_type] : rewrite(((~v223(VarCurr, 1)) | (~v228(VarCurr))) <=> ((~v228(VarCurr)) | (~v223(VarCurr, 1))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26352,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v223(VarCurr, 1)) | (~v228(VarCurr))) <=> ![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26351])).
% 49.94/32.92 tff(26353,axiom,(![VarCurr: state_type] : ((~v223(VarCurr, 1)) | (~v228(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_16_1_1')).
% 49.94/32.92 tff(26354,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 49.94/32.92 tff(26355,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26354, 26350])).
% 49.94/32.92 tff(26356,plain,(
% 49.94/32.92 ![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26355])).
% 49.94/32.92 tff(26357,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26356, 26349])).
% 49.94/32.92 tff(26358,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB103)) | (~v223(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB103)) | (~v223(constB103, 1)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26359,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB103)) | (~v223(constB103, 1)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26360,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB103)) | (~v223(constB103, 1))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26359, 26358])).
% 49.94/32.92 tff(26361,plain,
% 49.94/32.92 (~v223(constB103, 1)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26360, 26357, 26347])).
% 49.94/32.92 tff(26362,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl((v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr))) <=> (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26363,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr))) <=> ![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26362])).
% 49.94/32.92 tff(26364,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr))) <=> ![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26365,plain,
% 49.94/32.92 (^[VarCurr: state_type] : rewrite((((~v229(VarCurr)) | v223(VarCurr, 0)) | v223(VarCurr, 1)) <=> (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26366,plain,
% 49.94/32.92 (![VarCurr: state_type] : (((~v229(VarCurr)) | v223(VarCurr, 0)) | v223(VarCurr, 1)) <=> ![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26365])).
% 49.94/32.92 tff(26367,axiom,(![VarCurr: state_type] : (((~v229(VarCurr)) | v223(VarCurr, 0)) | v223(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_3')).
% 49.94/32.92 tff(26368,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26367, 26366])).
% 49.94/32.92 tff(26369,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26368, 26364])).
% 49.94/32.92 tff(26370,plain,(
% 49.94/32.92 ![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26369])).
% 49.94/32.92 tff(26371,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26370, 26363])).
% 49.94/32.92 tff(26372,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB103, 1) | v223(constB103, 0) | (~v229(constB103)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB103, 1) | v223(constB103, 0) | (~v229(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26373,plain,
% 49.94/32.92 ((v223(constB103, 0) | v223(constB103, 1) | (~v229(constB103))) <=> (v223(constB103, 1) | v223(constB103, 0) | (~v229(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26374,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB103, 0) | v223(constB103, 1) | (~v229(constB103)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB103, 1) | v223(constB103, 0) | (~v229(constB103))))),
% 49.94/32.92 inference(monotonicity,[status(thm)],[26373])).
% 49.94/32.92 tff(26375,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB103, 0) | v223(constB103, 1) | (~v229(constB103)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB103, 1) | v223(constB103, 0) | (~v229(constB103)))),
% 49.94/32.92 inference(transitivity,[status(thm)],[26374, 26372])).
% 49.94/32.92 tff(26376,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB103, 0) | v223(constB103, 1) | (~v229(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26377,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB103, 1) | v223(constB103, 0) | (~v229(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26376, 26375])).
% 49.94/32.92 tff(26378,plain,
% 49.94/32.92 (~v229(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26377, 26371, 26361, 26316])).
% 49.94/32.92 tff(26379,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl((v229(VarCurr) | (~v225(VarCurr))) <=> (v229(VarCurr) | (~v225(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26380,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr))) <=> ![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26379])).
% 49.94/32.92 tff(26381,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr))) <=> ![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26382,plain,
% 49.94/32.92 (^[VarCurr: state_type] : rewrite(((~v225(VarCurr)) | v229(VarCurr)) <=> (v229(VarCurr) | (~v225(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26383,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v225(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26382])).
% 49.94/32.92 tff(26384,axiom,(![VarCurr: state_type] : ((~v225(VarCurr)) | v229(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_2')).
% 49.94/32.92 tff(26385,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26384, 26383])).
% 49.94/32.92 tff(26386,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26385, 26381])).
% 49.94/32.92 tff(26387,plain,(
% 49.94/32.92 ![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26386])).
% 49.94/32.92 tff(26388,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26387, 26380])).
% 49.94/32.92 tff(26389,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB103) | (~v225(constB103)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB103) | (~v225(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26390,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB103) | (~v225(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26391,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB103) | (~v225(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 49.94/32.92 tff(26392,plain,
% 49.94/32.92 (~v225(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26391, 26388, 26378])).
% 49.94/32.92 tff(26393,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl((v225(VarCurr) | (~v224(VarCurr))) <=> (v225(VarCurr) | (~v224(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26394,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr))) <=> ![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26393])).
% 49.94/32.92 tff(26395,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr))) <=> ![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26396,plain,
% 49.94/32.92 (^[VarCurr: state_type] : rewrite(((~v224(VarCurr)) | v225(VarCurr)) <=> (v225(VarCurr) | (~v224(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26397,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v224(VarCurr)) | v225(VarCurr)) <=> ![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26396])).
% 49.94/32.92 tff(26398,axiom,(![VarCurr: state_type] : ((~v224(VarCurr)) | v225(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_3')).
% 49.94/32.92 tff(26399,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26398, 26397])).
% 49.94/32.92 tff(26400,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26399, 26395])).
% 49.94/32.92 tff(26401,plain,(
% 49.94/32.92 ![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26400])).
% 49.94/32.92 tff(26402,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26401, 26394])).
% 49.94/32.92 tff(26403,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB103) | (~v224(constB103)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB103) | (~v224(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26404,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB103) | (~v224(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26405,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB103) | (~v224(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26404, 26403])).
% 49.94/32.92 tff(26406,plain,
% 49.94/32.92 (~v224(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26405, 26402, 26392])).
% 49.94/32.92 tff(26407,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl(((~v222(VarCurr)) | v223(VarCurr, 1)) <=> ((~v222(VarCurr)) | v223(VarCurr, 1)))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26408,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26407])).
% 49.94/32.92 tff(26409,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26410,axiom,(![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_2')).
% 49.94/32.92 tff(26411,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26410, 26409])).
% 49.94/32.92 tff(26412,plain,(
% 49.94/32.92 ![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26411])).
% 49.94/32.92 tff(26413,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26412, 26408])).
% 49.94/32.92 tff(26414,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB103)) | v223(constB103, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB103)) | v223(constB103, 1))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26415,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB103)) | v223(constB103, 1))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26416,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB103)) | v223(constB103, 1)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26415, 26414])).
% 49.94/32.92 tff(26417,plain,
% 49.94/32.92 (~v222(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26416, 26413, 26361])).
% 49.94/32.92 tff(26418,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB103) | v224(constB103) | (~v236(constB103)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB103) | v224(constB103) | (~v236(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26419,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB103) | v224(constB103) | (~v236(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26420,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB103) | v224(constB103) | (~v236(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26419, 26418])).
% 49.94/32.92 tff(26421,plain,
% 49.94/32.92 (v224(constB103) | (~v236(constB103))),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26420, 15241, 26417])).
% 49.94/32.92 tff(26422,plain,
% 49.94/32.92 (~v236(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26421, 26406])).
% 49.94/32.92 tff(26423,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB103) | (~v232(constB103)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB103) | (~v232(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26424,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB103) | (~v232(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26425,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB103) | (~v232(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26424, 26423])).
% 49.94/32.92 tff(26426,plain,
% 49.94/32.92 (~v232(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26425, 15255, 26422])).
% 49.94/32.92 tff(26427,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB103)) | (~v88(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB103)) | (~v88(constB103, 1)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26428,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB103)) | (~v88(constB103, 1)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26429,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB103)) | (~v88(constB103, 1))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 49.94/32.92 tff(26430,plain,
% 49.94/32.92 (~v140(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26429, 15142, 26241])).
% 49.94/32.92 tff(26431,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 0))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26432,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26431])).
% 49.94/32.92 tff(26433,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26434,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 49.94/32.92 tff(26435,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 49.94/32.92 tff(26436,plain,(
% 49.94/32.92 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26435])).
% 49.94/32.92 tff(26437,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26436, 26432])).
% 49.94/32.92 tff(26438,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB103)) | (~v88(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB103)) | (~v88(constB103, 0)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26439,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB103)) | (~v88(constB103, 0)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26440,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB103)) | (~v88(constB103, 0))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26439, 26438])).
% 49.94/32.92 tff(26441,plain,
% 49.94/32.92 (~v139(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26440, 26437, 26258])).
% 49.94/32.92 tff(26442,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v148(constB103)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB103) | v140(constB103) | (~v148(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26443,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v148(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26444,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB103) | v140(constB103) | (~v148(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 49.94/32.92 tff(26445,plain,
% 49.94/32.92 (~v148(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26444, 15269, 26441, 26430])).
% 49.94/32.92 tff(26446,plain,
% 49.94/32.92 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB103) | v252(constB103) | (~v197(constB103)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB103) | v252(constB103) | (~v197(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26447,plain,
% 49.94/32.92 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB103) | v252(constB103) | (~v197(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26448,plain,
% 49.94/32.92 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB103) | v252(constB103) | (~v197(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26447, 26446])).
% 49.94/32.92 tff(26449,plain,
% 49.94/32.92 (v252(constB103) | (~v197(constB103))),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26448, 15283, 26445])).
% 49.94/32.92 tff(26450,plain,
% 49.94/32.92 (v252(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26449, 26305])).
% 49.94/32.92 tff(26451,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB103)) | (~v223(constB103, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB103)) | (~v223(constB103, 3)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26452,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB103)) | (~v223(constB103, 3)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26453,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB103)) | (~v223(constB103, 3))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26452, 26451])).
% 49.94/32.92 tff(26454,plain,
% 49.94/32.92 (~v223(constB103, 3)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26453, 15298, 26450])).
% 49.94/32.92 tff(26455,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB103)) | v223(constB103, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB103)) | v223(constB103, 3))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26456,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB103)) | v223(constB103, 3))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26457,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB103)) | v223(constB103, 3)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26456, 26455])).
% 49.94/32.92 tff(26458,plain,
% 49.94/32.92 (~v237(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26457, 15309, 26454])).
% 49.94/32.92 tff(26459,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB103) | v237(constB103) | (~v248(constB103)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB103) | v237(constB103) | (~v248(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26460,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB103) | v237(constB103) | (~v248(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26461,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB103) | v237(constB103) | (~v248(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 49.94/32.92 tff(26462,plain,
% 49.94/32.92 (v232(constB103) | (~v248(constB103))),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26461, 15323, 26458])).
% 49.94/32.92 tff(26463,plain,
% 49.94/32.92 (~v248(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26462, 26426])).
% 49.94/32.92 tff(26464,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB103) | (~v244(constB103)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB103) | (~v244(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26465,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB103) | (~v244(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26466,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB103) | (~v244(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26465, 26464])).
% 49.94/32.92 tff(26467,plain,
% 49.94/32.92 (~v244(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26466, 15338, 26463])).
% 49.94/32.92 tff(26468,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB103) | (~v216(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB103) | (~v216(constB103, 1)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26469,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB103) | (~v216(constB103, 1)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26470,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB103) | (~v216(constB103, 1))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 49.94/32.92 tff(26471,plain,
% 49.94/32.92 (~v216(constB103, 1)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26470, 15352, 26467])).
% 49.94/32.92 tff(26472,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB103)) | v216(constB103, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB103)) | v216(constB103, 1))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26473,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB103)) | v216(constB103, 1))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26474,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB103)) | v216(constB103, 1)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 49.94/32.92 tff(26475,plain,
% 49.94/32.92 (~v254(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26474, 15363, 26471])).
% 49.94/32.92 tff(26476,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB103) | (~v231(constB103)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB103) | (~v231(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26477,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB103) | (~v231(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26478,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB103) | (~v231(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26477, 26476])).
% 49.94/32.92 tff(26479,plain,
% 49.94/32.92 (~v231(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26478, 15391, 26458])).
% 49.94/32.92 tff(26480,plain,
% 49.94/32.92 (^[VarCurr: state_type] : refl((v222(VarCurr) | (~v221(VarCurr))) <=> (v222(VarCurr) | (~v221(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26481,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26480])).
% 49.94/32.92 tff(26482,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26483,plain,
% 49.94/32.92 (^[VarCurr: state_type] : rewrite(((~v221(VarCurr)) | v222(VarCurr)) <=> (v222(VarCurr) | (~v221(VarCurr))))),
% 49.94/32.92 inference(bind,[status(th)],[])).
% 49.94/32.92 tff(26484,plain,
% 49.94/32.92 (![VarCurr: state_type] : ((~v221(VarCurr)) | v222(VarCurr)) <=> ![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))),
% 49.94/32.92 inference(quant_intro,[status(thm)],[26483])).
% 49.94/32.92 tff(26485,axiom,(![VarCurr: state_type] : ((~v221(VarCurr)) | v222(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_3')).
% 49.94/32.92 tff(26486,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26485, 26484])).
% 49.94/32.92 tff(26487,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26486, 26482])).
% 49.94/32.92 tff(26488,plain,(
% 49.94/32.92 ![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))),
% 49.94/32.92 inference(skolemize,[status(sab)],[26487])).
% 49.94/32.92 tff(26489,plain,
% 49.94/32.92 (![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26488, 26481])).
% 49.94/32.92 tff(26490,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB103) | (~v221(constB103)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB103) | (~v221(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26491,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB103) | (~v221(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26492,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB103) | (~v221(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 49.94/32.92 tff(26493,plain,
% 49.94/32.92 (~v221(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26492, 26489, 26417])).
% 49.94/32.92 tff(26494,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB103) | v231(constB103) | (~v243(constB103)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB103) | v231(constB103) | (~v243(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26495,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB103) | v231(constB103) | (~v243(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26496,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB103) | v231(constB103) | (~v243(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26495, 26494])).
% 49.94/32.92 tff(26497,plain,
% 49.94/32.92 (~v243(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26496, 15405, 26493, 26479])).
% 49.94/32.92 tff(26498,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB103) | v243(constB103))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v255(constB103) | v243(constB103))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26499,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB103) | v243(constB103))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26500,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v255(constB103) | v243(constB103)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26499, 26498])).
% 49.94/32.92 tff(26501,plain,
% 49.94/32.92 (v255(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26500, 15416, 26497])).
% 49.94/32.92 tff(26502,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB103)) | (~v216(constB103, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB103)) | (~v216(constB103, 2)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26503,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB103)) | (~v216(constB103, 2)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26504,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB103)) | (~v216(constB103, 2))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26503, 26502])).
% 49.94/32.92 tff(26505,plain,
% 49.94/32.92 (~v216(constB103, 2)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26504, 15433, 26501])).
% 49.94/32.92 tff(26506,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB103) | v216(constB103, 2) | (~v215(constB103)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB103) | v216(constB103, 2) | (~v215(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26507,plain,
% 49.94/32.92 ((v216(constB103, 2) | v254(constB103) | (~v215(constB103))) <=> (v254(constB103) | v216(constB103, 2) | (~v215(constB103)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26508,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB103, 2) | v254(constB103) | (~v215(constB103)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB103) | v216(constB103, 2) | (~v215(constB103))))),
% 49.94/32.92 inference(monotonicity,[status(thm)],[26507])).
% 49.94/32.92 tff(26509,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB103, 2) | v254(constB103) | (~v215(constB103)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB103) | v216(constB103, 2) | (~v215(constB103)))),
% 49.94/32.92 inference(transitivity,[status(thm)],[26508, 26506])).
% 49.94/32.92 tff(26510,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB103, 2) | v254(constB103) | (~v215(constB103)))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26511,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB103) | v216(constB103, 2) | (~v215(constB103))),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26510, 26509])).
% 49.94/32.92 tff(26512,plain,
% 49.94/32.92 (v254(constB103) | (~v215(constB103))),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26511, 15447, 26505])).
% 49.94/32.92 tff(26513,plain,
% 49.94/32.92 (~v215(constB103)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26512, 26475])).
% 49.94/32.92 tff(26514,plain,
% 49.94/32.92 ($false),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26513, 26212])).
% 49.94/32.92 tff(26515,plain,(~(constB103 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.92 tff(26516,assumption,(constB91 = sK_VarCurr), introduced(assumption)).
% 49.94/32.92 tff(26517,plain,
% 49.94/32.92 (v215(constB91) <=> v215(sK_VarCurr)),
% 49.94/32.92 inference(monotonicity,[status(thm)],[26516])).
% 49.94/32.92 tff(26518,plain,
% 49.94/32.92 (v215(sK_VarCurr) <=> v215(constB91)),
% 49.94/32.92 inference(symmetry,[status(thm)],[26517])).
% 49.94/32.92 tff(26519,plain,
% 49.94/32.92 (v215(constB91)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[34, 26518])).
% 49.94/32.92 tff(26520,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB91, 2)) | v90(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB91, 2)) | v90(constB91, 2))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26521,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB91, 2)) | v90(constB91, 2))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26522,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB91, 2)) | v90(constB91, 2)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26521, 26520])).
% 49.94/32.92 tff(26523,plain,
% 49.94/32.92 (~v88(constB91, 2)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26522, 26020, 25825])).
% 49.94/32.92 tff(26524,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB91, 1)) | v88(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB91, 1)) | v88(constB91, 1))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26525,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB91, 1)) | v88(constB91, 1))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26526,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB91, 1)) | v88(constB91, 1)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26525, 26524])).
% 49.94/32.92 tff(26527,plain,
% 49.94/32.92 (v88(constB91, 1)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26526, 15014, 25758])).
% 49.94/32.92 tff(26528,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB91, 0)) | v88(constB91, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB91, 0)) | v88(constB91, 0))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26529,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB91, 0)) | v88(constB91, 0))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26530,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB91, 0)) | v88(constB91, 0)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26529, 26528])).
% 49.94/32.92 tff(26531,plain,
% 49.94/32.92 (v88(constB91, 0)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26530, 26254, 25768])).
% 49.94/32.92 tff(26532,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26533,plain,
% 49.94/32.92 ((v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91)) <=> (v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26534,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91)))),
% 49.94/32.92 inference(monotonicity,[status(thm)],[26533])).
% 49.94/32.92 tff(26535,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91))),
% 49.94/32.92 inference(transitivity,[status(thm)],[26534, 26532])).
% 49.94/32.92 tff(26536,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26537,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26536, 26535])).
% 49.94/32.92 tff(26538,plain,
% 49.94/32.92 (v141(constB91)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26537, 26268, 26531, 26527, 26523])).
% 49.94/32.92 tff(26539,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB91)) | v199(constB91))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB91)) | v199(constB91))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26540,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB91)) | v199(constB91))),
% 49.94/32.92 inference(quant_inst,[status(thm)],[])).
% 49.94/32.92 tff(26541,plain,
% 49.94/32.92 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB91)) | v199(constB91)),
% 49.94/32.92 inference(modus_ponens,[status(thm)],[26540, 26539])).
% 49.94/32.92 tff(26542,plain,
% 49.94/32.92 (v199(constB91)),
% 49.94/32.92 inference(unit_resolution,[status(thm)],[26541, 26282, 26538])).
% 49.94/32.92 tff(26543,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB91) | (~v199(constB91)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB91) | (~v199(constB91)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26544,plain,
% 49.94/32.92 (((~v199(constB91)) | v198(constB91)) <=> (v198(constB91) | (~v199(constB91)))),
% 49.94/32.92 inference(rewrite,[status(thm)],[])).
% 49.94/32.92 tff(26545,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB91)) | v198(constB91))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB91) | (~v199(constB91))))),
% 49.94/32.92 inference(monotonicity,[status(thm)],[26544])).
% 49.94/32.92 tff(26546,plain,
% 49.94/32.92 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB91)) | v198(constB91))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB91) | (~v199(constB91)))),
% 49.94/32.93 inference(transitivity,[status(thm)],[26545, 26543])).
% 49.94/32.93 tff(26547,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB91)) | v198(constB91))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26548,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB91) | (~v199(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26547, 26546])).
% 49.94/32.93 tff(26549,plain,
% 49.94/32.93 (v198(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26548, 26293, 26542])).
% 49.94/32.93 tff(26550,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB91)) | (~v201(constB91)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB91)) | (~v201(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26551,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB91)) | (~v201(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26552,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB91)) | (~v201(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26551, 26550])).
% 49.94/32.93 tff(26553,plain,
% 49.94/32.93 (~v201(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26552, 15064, 26549])).
% 49.94/32.93 tff(26554,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB91) | (~v198(constB91)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB91) | (~v198(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26555,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB91) | (~v198(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26556,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB91) | (~v198(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26555, 26554])).
% 49.94/32.93 tff(26557,plain,
% 49.94/32.93 (v197(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26556, 15078, 26549])).
% 49.94/32.93 tff(26558,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB91) | (~v197(constB91)) | v201(constB91))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB91) | (~v197(constB91)) | v201(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26559,plain,
% 49.94/32.93 (((~v197(constB91)) | v201(constB91) | v227(constB91)) <=> (v227(constB91) | (~v197(constB91)) | v201(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26560,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB91)) | v201(constB91) | v227(constB91))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB91) | (~v197(constB91)) | v201(constB91)))),
% 49.94/32.93 inference(monotonicity,[status(thm)],[26559])).
% 49.94/32.93 tff(26561,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB91)) | v201(constB91) | v227(constB91))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB91) | (~v197(constB91)) | v201(constB91))),
% 49.94/32.93 inference(transitivity,[status(thm)],[26560, 26558])).
% 49.94/32.93 tff(26562,plain,
% 49.94/32.93 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB91)) | v201(constB91) | v227(constB91))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26563,plain,
% 49.94/32.93 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB91) | (~v197(constB91)) | v201(constB91)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26562, 26561])).
% 49.94/32.93 tff(26564,plain,
% 49.94/32.93 (v227(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26563, 15092, 26557, 26553])).
% 49.94/32.93 tff(26565,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB91)) | (~v223(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB91)) | (~v223(constB91, 0)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26566,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB91)) | (~v223(constB91, 0)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26567,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB91)) | (~v223(constB91, 0))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26566, 26565])).
% 49.94/32.93 tff(26568,plain,
% 49.94/32.93 (~v223(constB91, 0)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26567, 15109, 26564])).
% 49.94/32.93 tff(26569,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB91)) | (~v199(constB91)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB91)) | (~v199(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26570,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB91)) | (~v199(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26571,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB91)) | (~v199(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26570, 26569])).
% 49.94/32.93 tff(26572,plain,
% 49.94/32.93 (~v183(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26571, 26326, 26542])).
% 49.94/32.93 tff(26573,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB91) | (~v197(constB91)) | v183(constB91))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB91) | (~v197(constB91)) | v183(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26574,plain,
% 49.94/32.93 (((~v197(constB91)) | v183(constB91) | v228(constB91)) <=> (v228(constB91) | (~v197(constB91)) | v183(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26575,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB91)) | v183(constB91) | v228(constB91))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB91) | (~v197(constB91)) | v183(constB91)))),
% 49.94/32.93 inference(monotonicity,[status(thm)],[26574])).
% 49.94/32.93 tff(26576,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB91)) | v183(constB91) | v228(constB91))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB91) | (~v197(constB91)) | v183(constB91))),
% 49.94/32.93 inference(transitivity,[status(thm)],[26575, 26573])).
% 49.94/32.93 tff(26577,plain,
% 49.94/32.93 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB91)) | v183(constB91) | v228(constB91))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26578,plain,
% 49.94/32.93 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB91) | (~v197(constB91)) | v183(constB91)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26577, 26576])).
% 49.94/32.93 tff(26579,plain,
% 49.94/32.93 (v228(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26578, 26340, 26557, 26572])).
% 49.94/32.93 tff(26580,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB91)) | (~v223(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB91)) | (~v223(constB91, 1)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26581,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB91)) | (~v223(constB91, 1)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26582,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB91)) | (~v223(constB91, 1))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26581, 26580])).
% 49.94/32.93 tff(26583,plain,
% 49.94/32.93 (~v223(constB91, 1)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26582, 26357, 26579])).
% 49.94/32.93 tff(26584,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB91, 1) | v223(constB91, 0) | (~v229(constB91)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB91, 1) | v223(constB91, 0) | (~v229(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26585,plain,
% 49.94/32.93 ((v223(constB91, 0) | v223(constB91, 1) | (~v229(constB91))) <=> (v223(constB91, 1) | v223(constB91, 0) | (~v229(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26586,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB91, 0) | v223(constB91, 1) | (~v229(constB91)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB91, 1) | v223(constB91, 0) | (~v229(constB91))))),
% 49.94/32.93 inference(monotonicity,[status(thm)],[26585])).
% 49.94/32.93 tff(26587,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB91, 0) | v223(constB91, 1) | (~v229(constB91)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB91, 1) | v223(constB91, 0) | (~v229(constB91)))),
% 49.94/32.93 inference(transitivity,[status(thm)],[26586, 26584])).
% 49.94/32.93 tff(26588,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB91, 0) | v223(constB91, 1) | (~v229(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26589,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB91, 1) | v223(constB91, 0) | (~v229(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26588, 26587])).
% 49.94/32.93 tff(26590,plain,
% 49.94/32.93 (~v229(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26589, 26371, 26583, 26568])).
% 49.94/32.93 tff(26591,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB91) | (~v225(constB91)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB91) | (~v225(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26592,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB91) | (~v225(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26593,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB91) | (~v225(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 49.94/32.93 tff(26594,plain,
% 49.94/32.93 (~v225(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26593, 26388, 26590])).
% 49.94/32.93 tff(26595,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB91) | (~v224(constB91)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB91) | (~v224(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26596,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB91) | (~v224(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26597,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB91) | (~v224(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26596, 26595])).
% 49.94/32.93 tff(26598,plain,
% 49.94/32.93 (~v224(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26597, 26402, 26594])).
% 49.94/32.93 tff(26599,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB91)) | v223(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB91)) | v223(constB91, 1))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26600,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB91)) | v223(constB91, 1))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26601,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB91)) | v223(constB91, 1)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26600, 26599])).
% 49.94/32.93 tff(26602,plain,
% 49.94/32.93 (~v222(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26601, 26413, 26583])).
% 49.94/32.93 tff(26603,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB91) | v224(constB91) | (~v236(constB91)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB91) | v224(constB91) | (~v236(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26604,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB91) | v224(constB91) | (~v236(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26605,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB91) | v224(constB91) | (~v236(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26604, 26603])).
% 49.94/32.93 tff(26606,plain,
% 49.94/32.93 (v224(constB91) | (~v236(constB91))),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26605, 15241, 26602])).
% 49.94/32.93 tff(26607,plain,
% 49.94/32.93 (~v236(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26606, 26598])).
% 49.94/32.93 tff(26608,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB91) | (~v232(constB91)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB91) | (~v232(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26609,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB91) | (~v232(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26610,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB91) | (~v232(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 49.94/32.93 tff(26611,plain,
% 49.94/32.93 (~v232(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26610, 15255, 26607])).
% 49.94/32.93 tff(26612,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB91)) | (~v88(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB91)) | (~v88(constB91, 1)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26613,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB91)) | (~v88(constB91, 1)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26614,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB91)) | (~v88(constB91, 1))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26613, 26612])).
% 49.94/32.93 tff(26615,plain,
% 49.94/32.93 (~v140(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26614, 15142, 26527])).
% 49.94/32.93 tff(26616,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB91)) | (~v88(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB91)) | (~v88(constB91, 0)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26617,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB91)) | (~v88(constB91, 0)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26618,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB91)) | (~v88(constB91, 0))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26617, 26616])).
% 49.94/32.93 tff(26619,plain,
% 49.94/32.93 (~v139(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26618, 26437, 26531])).
% 49.94/32.93 tff(26620,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v148(constB91)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB91) | v140(constB91) | (~v148(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26621,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v148(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26622,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB91) | v140(constB91) | (~v148(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26621, 26620])).
% 49.94/32.93 tff(26623,plain,
% 49.94/32.93 (~v148(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26622, 15269, 26619, 26615])).
% 49.94/32.93 tff(26624,plain,
% 49.94/32.93 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB91) | v252(constB91) | (~v197(constB91)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB91) | v252(constB91) | (~v197(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26625,plain,
% 49.94/32.93 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB91) | v252(constB91) | (~v197(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26626,plain,
% 49.94/32.93 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB91) | v252(constB91) | (~v197(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26625, 26624])).
% 49.94/32.93 tff(26627,plain,
% 49.94/32.93 (v252(constB91) | (~v197(constB91))),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26626, 15283, 26623])).
% 49.94/32.93 tff(26628,plain,
% 49.94/32.93 (v252(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26627, 26557])).
% 49.94/32.93 tff(26629,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB91)) | (~v223(constB91, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB91)) | (~v223(constB91, 3)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26630,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB91)) | (~v223(constB91, 3)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26631,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB91)) | (~v223(constB91, 3))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 49.94/32.93 tff(26632,plain,
% 49.94/32.93 (~v223(constB91, 3)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26631, 15298, 26628])).
% 49.94/32.93 tff(26633,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB91)) | v223(constB91, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB91)) | v223(constB91, 3))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26634,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB91)) | v223(constB91, 3))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26635,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB91)) | v223(constB91, 3)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 49.94/32.93 tff(26636,plain,
% 49.94/32.93 (~v237(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26635, 15309, 26632])).
% 49.94/32.93 tff(26637,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB91) | v237(constB91) | (~v248(constB91)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB91) | v237(constB91) | (~v248(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26638,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB91) | v237(constB91) | (~v248(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26639,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB91) | v237(constB91) | (~v248(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26638, 26637])).
% 49.94/32.93 tff(26640,plain,
% 49.94/32.93 (v232(constB91) | (~v248(constB91))),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26639, 15323, 26636])).
% 49.94/32.93 tff(26641,plain,
% 49.94/32.93 (~v248(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26640, 26611])).
% 49.94/32.93 tff(26642,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB91) | (~v244(constB91)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB91) | (~v244(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26643,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB91) | (~v244(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26644,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB91) | (~v244(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 49.94/32.93 tff(26645,plain,
% 49.94/32.93 (~v244(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26644, 15338, 26641])).
% 49.94/32.93 tff(26646,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB91) | (~v216(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB91) | (~v216(constB91, 1)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26647,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB91) | (~v216(constB91, 1)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26648,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB91) | (~v216(constB91, 1))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26647, 26646])).
% 49.94/32.93 tff(26649,plain,
% 49.94/32.93 (~v216(constB91, 1)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26648, 15352, 26645])).
% 49.94/32.93 tff(26650,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB91)) | v216(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB91)) | v216(constB91, 1))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26651,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB91)) | v216(constB91, 1))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26652,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB91)) | v216(constB91, 1)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26651, 26650])).
% 49.94/32.93 tff(26653,plain,
% 49.94/32.93 (~v254(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26652, 15363, 26649])).
% 49.94/32.93 tff(26654,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB91) | (~v231(constB91)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB91) | (~v231(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26655,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB91) | (~v231(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26656,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB91) | (~v231(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26655, 26654])).
% 49.94/32.93 tff(26657,plain,
% 49.94/32.93 (~v231(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26656, 15391, 26636])).
% 49.94/32.93 tff(26658,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB91) | (~v221(constB91)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB91) | (~v221(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26659,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB91) | (~v221(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26660,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB91) | (~v221(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26659, 26658])).
% 49.94/32.93 tff(26661,plain,
% 49.94/32.93 (~v221(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26660, 26489, 26602])).
% 49.94/32.93 tff(26662,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB91) | v231(constB91) | (~v243(constB91)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB91) | v231(constB91) | (~v243(constB91)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26663,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB91) | v231(constB91) | (~v243(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26664,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB91) | v231(constB91) | (~v243(constB91))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26663, 26662])).
% 49.94/32.93 tff(26665,plain,
% 49.94/32.93 (~v243(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26664, 15405, 26661, 26657])).
% 49.94/32.93 tff(26666,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB91) | v255(constB91))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB91) | v255(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26667,plain,
% 49.94/32.93 ((v255(constB91) | v243(constB91)) <=> (v243(constB91) | v255(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26668,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB91) | v243(constB91))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB91) | v255(constB91)))),
% 49.94/32.93 inference(monotonicity,[status(thm)],[26667])).
% 49.94/32.93 tff(26669,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB91) | v243(constB91))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB91) | v255(constB91))),
% 49.94/32.93 inference(transitivity,[status(thm)],[26668, 26666])).
% 49.94/32.93 tff(26670,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB91) | v243(constB91))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26671,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB91) | v255(constB91)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 49.94/32.93 tff(26672,plain,
% 49.94/32.93 (v255(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26671, 15416, 26665])).
% 49.94/32.93 tff(26673,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB91)) | (~v216(constB91, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB91)) | (~v216(constB91, 2)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26674,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB91)) | (~v216(constB91, 2)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26675,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB91)) | (~v216(constB91, 2))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 49.94/32.93 tff(26676,plain,
% 49.94/32.93 (~v216(constB91, 2)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26675, 15433, 26672])).
% 49.94/32.93 tff(26677,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, 2) | (~v215(constB91)) | v254(constB91))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB91, 2) | (~v215(constB91)) | v254(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26678,plain,
% 49.94/32.93 ((v216(constB91, 2) | v254(constB91) | (~v215(constB91))) <=> (v216(constB91, 2) | (~v215(constB91)) | v254(constB91))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26679,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, 2) | v254(constB91) | (~v215(constB91)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, 2) | (~v215(constB91)) | v254(constB91)))),
% 49.94/32.93 inference(monotonicity,[status(thm)],[26678])).
% 49.94/32.93 tff(26680,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, 2) | v254(constB91) | (~v215(constB91)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB91, 2) | (~v215(constB91)) | v254(constB91))),
% 49.94/32.93 inference(transitivity,[status(thm)],[26679, 26677])).
% 49.94/32.93 tff(26681,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB91, 2) | v254(constB91) | (~v215(constB91)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26682,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB91, 2) | (~v215(constB91)) | v254(constB91)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26681, 26680])).
% 49.94/32.93 tff(26683,plain,
% 49.94/32.93 ((~v215(constB91)) | v254(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26682, 15447, 26676])).
% 49.94/32.93 tff(26684,plain,
% 49.94/32.93 (~v215(constB91)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26683, 26653])).
% 49.94/32.93 tff(26685,plain,
% 49.94/32.93 ($false),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26684, 26519])).
% 49.94/32.93 tff(26686,plain,(~(constB91 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.93 tff(26687,assumption,(constB63 = sK_VarCurr), introduced(assumption)).
% 49.94/32.93 tff(26688,plain,
% 49.94/32.93 (v215(constB63) <=> v215(sK_VarCurr)),
% 49.94/32.93 inference(monotonicity,[status(thm)],[26687])).
% 49.94/32.93 tff(26689,plain,
% 49.94/32.93 (v215(sK_VarCurr) <=> v215(constB63)),
% 49.94/32.93 inference(symmetry,[status(thm)],[26688])).
% 49.94/32.93 tff(26690,plain,
% 49.94/32.93 (v215(constB63)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[34, 26689])).
% 49.94/32.93 tff(26691,plain,
% 49.94/32.93 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ((~v88(VarCurr, 1)) | v90(VarCurr, 1)))),
% 49.94/32.93 inference(bind,[status(th)],[])).
% 49.94/32.93 tff(26692,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 49.94/32.93 inference(quant_intro,[status(thm)],[26691])).
% 49.94/32.93 tff(26693,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26694,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 49.94/32.93 tff(26695,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26694, 26693])).
% 49.94/32.93 tff(26696,plain,(
% 49.94/32.93 ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 49.94/32.93 inference(skolemize,[status(sab)],[26695])).
% 49.94/32.93 tff(26697,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26696, 26692])).
% 49.94/32.93 tff(26698,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB63, 1)) | v90(constB63, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB63, 1)) | v90(constB63, 1))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26699,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB63, 1)) | v90(constB63, 1))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26700,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB63, 1)) | v90(constB63, 1)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 49.94/32.93 tff(26701,plain,
% 49.94/32.93 (~v88(constB63, 1)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26700, 26697, 7887])).
% 49.94/32.93 tff(26702,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB63, 2)) | v90(constB63, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB63, 2)) | v90(constB63, 2))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26703,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB63, 2)) | v90(constB63, 2))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26704,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB63, 2)) | v90(constB63, 2)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 49.94/32.93 tff(26705,plain,
% 49.94/32.93 (~v88(constB63, 2)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26704, 26020, 7918])).
% 49.94/32.93 tff(26706,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB63, 0)) | v88(constB63, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB63, 0)) | v88(constB63, 0))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26707,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB63, 0)) | v88(constB63, 0))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26708,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB63, 0)) | v88(constB63, 0)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26707, 26706])).
% 49.94/32.93 tff(26709,plain,
% 49.94/32.93 (v88(constB63, 0)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26708, 26254, 7968])).
% 49.94/32.93 tff(26710,plain,
% 49.94/32.93 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)))),
% 49.94/32.93 inference(bind,[status(th)],[])).
% 49.94/32.93 tff(26711,plain,
% 49.94/32.93 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 49.94/32.93 inference(quant_intro,[status(thm)],[26710])).
% 49.94/32.93 tff(26712,plain,
% 49.94/32.93 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26713,plain,
% 49.94/32.93 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)))), ((((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> ((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v140(VarCurr)))), rewrite(((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))), ((((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))))),
% 49.94/32.93 inference(bind,[status(th)],[])).
% 49.94/32.93 tff(26714,plain,
% 49.94/32.93 (![VarCurr: state_type] : (((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 49.94/32.93 inference(quant_intro,[status(thm)],[26713])).
% 49.94/32.93 tff(26715,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 49.94/32.93 tff(26716,plain,
% 49.94/32.93 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26715, 26714])).
% 49.94/32.93 tff(26717,plain,
% 49.94/32.93 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26716, 26712])).
% 49.94/32.93 tff(26718,plain,(
% 49.94/32.93 ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 49.94/32.93 inference(skolemize,[status(sab)],[26717])).
% 49.94/32.93 tff(26719,plain,
% 49.94/32.93 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26718, 26711])).
% 49.94/32.93 tff(26720,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB63, 2) | v88(constB63, 1) | (~v88(constB63, 0)) | v140(constB63))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB63, 2) | v88(constB63, 1) | (~v88(constB63, 0)) | v140(constB63))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26721,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB63, 2) | v88(constB63, 1) | (~v88(constB63, 0)) | v140(constB63))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26722,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB63, 2) | v88(constB63, 1) | (~v88(constB63, 0)) | v140(constB63)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26721, 26720])).
% 49.94/32.93 tff(26723,plain,
% 49.94/32.93 (v88(constB63, 2) | v88(constB63, 1) | v140(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26722, 26719, 26709])).
% 49.94/32.93 tff(26724,plain,
% 49.94/32.93 (v140(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26723, 26705, 26701])).
% 49.94/32.93 tff(26725,plain,
% 49.94/32.93 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v200(VarCurr)) <=> ((~v140(VarCurr)) | v200(VarCurr)))),
% 49.94/32.93 inference(bind,[status(th)],[])).
% 49.94/32.93 tff(26726,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))),
% 49.94/32.93 inference(quant_intro,[status(thm)],[26725])).
% 49.94/32.93 tff(26727,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26728,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_1')).
% 49.94/32.93 tff(26729,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26728, 26727])).
% 49.94/32.93 tff(26730,plain,(
% 49.94/32.93 ![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))),
% 49.94/32.93 inference(skolemize,[status(sab)],[26729])).
% 49.94/32.93 tff(26731,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26730, 26726])).
% 49.94/32.93 tff(26732,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB63)) | v200(constB63))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB63)) | v200(constB63))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26733,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB63)) | v200(constB63))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26734,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB63)) | v200(constB63)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 49.94/32.93 tff(26735,plain,
% 49.94/32.93 (v200(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26734, 26731, 26724])).
% 49.94/32.93 tff(26736,plain,
% 49.94/32.93 (^[VarCurr: state_type] : refl(((~v200(VarCurr)) | v199(VarCurr)) <=> ((~v200(VarCurr)) | v199(VarCurr)))),
% 49.94/32.93 inference(bind,[status(th)],[])).
% 49.94/32.93 tff(26737,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))),
% 49.94/32.93 inference(quant_intro,[status(thm)],[26736])).
% 49.94/32.93 tff(26738,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26739,axiom,(![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_1')).
% 49.94/32.93 tff(26740,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26739, 26738])).
% 49.94/32.93 tff(26741,plain,(
% 49.94/32.93 ![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))),
% 49.94/32.93 inference(skolemize,[status(sab)],[26740])).
% 49.94/32.93 tff(26742,plain,
% 49.94/32.93 (![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26741, 26737])).
% 49.94/32.93 tff(26743,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB63)) | v199(constB63))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB63)) | v199(constB63))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26744,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB63)) | v199(constB63))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26745,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB63)) | v199(constB63)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26744, 26743])).
% 49.94/32.93 tff(26746,plain,
% 49.94/32.93 (v199(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26745, 26742, 26735])).
% 49.94/32.93 tff(26747,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB63)) | v198(constB63))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB63)) | v198(constB63))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26748,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB63)) | v198(constB63))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26749,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB63)) | v198(constB63)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26748, 26747])).
% 49.94/32.93 tff(26750,plain,
% 49.94/32.93 (v198(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26749, 26293, 26746])).
% 49.94/32.93 tff(26751,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB63)) | (~v201(constB63)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB63)) | (~v201(constB63)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26752,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB63)) | (~v201(constB63)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26753,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB63)) | (~v201(constB63))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 49.94/32.93 tff(26754,plain,
% 49.94/32.93 (~v201(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26753, 15064, 26750])).
% 49.94/32.93 tff(26755,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB63) | (~v198(constB63)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB63) | (~v198(constB63)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26756,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB63) | (~v198(constB63)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26757,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB63) | (~v198(constB63))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26756, 26755])).
% 49.94/32.93 tff(26758,plain,
% 49.94/32.93 (v197(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26757, 15078, 26750])).
% 49.94/32.93 tff(26759,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB63) | (~v197(constB63)) | v201(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB63) | (~v197(constB63)) | v201(constB63))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26760,plain,
% 49.94/32.93 (((~v197(constB63)) | v201(constB63) | v227(constB63)) <=> (v227(constB63) | (~v197(constB63)) | v201(constB63))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26761,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB63)) | v201(constB63) | v227(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB63) | (~v197(constB63)) | v201(constB63)))),
% 49.94/32.93 inference(monotonicity,[status(thm)],[26760])).
% 49.94/32.93 tff(26762,plain,
% 49.94/32.93 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB63)) | v201(constB63) | v227(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB63) | (~v197(constB63)) | v201(constB63))),
% 49.94/32.93 inference(transitivity,[status(thm)],[26761, 26759])).
% 49.94/32.93 tff(26763,plain,
% 49.94/32.93 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB63)) | v201(constB63) | v227(constB63))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26764,plain,
% 49.94/32.93 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB63) | (~v197(constB63)) | v201(constB63)),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26763, 26762])).
% 49.94/32.93 tff(26765,plain,
% 49.94/32.93 (v227(constB63)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26764, 15092, 26758, 26754])).
% 49.94/32.93 tff(26766,plain,
% 49.94/32.93 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB63)) | (~v223(constB63, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB63)) | (~v223(constB63, 0)))),
% 49.94/32.93 inference(rewrite,[status(thm)],[])).
% 49.94/32.93 tff(26767,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB63)) | (~v223(constB63, 0)))),
% 49.94/32.93 inference(quant_inst,[status(thm)],[])).
% 49.94/32.93 tff(26768,plain,
% 49.94/32.93 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB63)) | (~v223(constB63, 0))),
% 49.94/32.93 inference(modus_ponens,[status(thm)],[26767, 26766])).
% 49.94/32.93 tff(26769,plain,
% 49.94/32.93 (~v223(constB63, 0)),
% 49.94/32.93 inference(unit_resolution,[status(thm)],[26768, 15109, 26765])).
% 49.94/32.93 tff(26770,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB63)) | (~v199(constB63)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB63)) | (~v199(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26771,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB63)) | (~v199(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26772,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB63)) | (~v199(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26771, 26770])).
% 49.94/32.94 tff(26773,plain,
% 49.94/32.94 (~v183(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26772, 26326, 26746])).
% 49.94/32.94 tff(26774,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB63) | (~v197(constB63)) | v183(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB63) | (~v197(constB63)) | v183(constB63))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26775,plain,
% 49.94/32.94 (((~v197(constB63)) | v183(constB63) | v228(constB63)) <=> (v228(constB63) | (~v197(constB63)) | v183(constB63))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26776,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB63)) | v183(constB63) | v228(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB63) | (~v197(constB63)) | v183(constB63)))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26775])).
% 49.94/32.94 tff(26777,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB63)) | v183(constB63) | v228(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB63) | (~v197(constB63)) | v183(constB63))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26776, 26774])).
% 49.94/32.94 tff(26778,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB63)) | v183(constB63) | v228(constB63))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26779,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB63) | (~v197(constB63)) | v183(constB63)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 49.94/32.94 tff(26780,plain,
% 49.94/32.94 (v228(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26779, 26340, 26758, 26773])).
% 49.94/32.94 tff(26781,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB63)) | (~v223(constB63, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB63)) | (~v223(constB63, 1)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26782,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB63)) | (~v223(constB63, 1)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26783,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB63)) | (~v223(constB63, 1))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26782, 26781])).
% 49.94/32.94 tff(26784,plain,
% 49.94/32.94 (~v223(constB63, 1)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26783, 26357, 26780])).
% 49.94/32.94 tff(26785,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB63, 1) | v223(constB63, 0) | (~v229(constB63)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB63, 1) | v223(constB63, 0) | (~v229(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26786,plain,
% 49.94/32.94 ((v223(constB63, 0) | v223(constB63, 1) | (~v229(constB63))) <=> (v223(constB63, 1) | v223(constB63, 0) | (~v229(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26787,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB63, 0) | v223(constB63, 1) | (~v229(constB63)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB63, 1) | v223(constB63, 0) | (~v229(constB63))))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26786])).
% 49.94/32.94 tff(26788,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB63, 0) | v223(constB63, 1) | (~v229(constB63)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB63, 1) | v223(constB63, 0) | (~v229(constB63)))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26787, 26785])).
% 49.94/32.94 tff(26789,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB63, 0) | v223(constB63, 1) | (~v229(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26790,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB63, 1) | v223(constB63, 0) | (~v229(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26789, 26788])).
% 49.94/32.94 tff(26791,plain,
% 49.94/32.94 (~v229(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26790, 26371, 26784, 26769])).
% 49.94/32.94 tff(26792,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB63) | (~v225(constB63)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB63) | (~v225(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26793,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB63) | (~v225(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26794,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB63) | (~v225(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26793, 26792])).
% 49.94/32.94 tff(26795,plain,
% 49.94/32.94 (~v225(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26794, 26388, 26791])).
% 49.94/32.94 tff(26796,plain,
% 49.94/32.94 (^[VarCurr: state_type] : refl(((~v166(VarCurr)) | (~v200(VarCurr))) <=> ((~v166(VarCurr)) | (~v200(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26797,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26796])).
% 49.94/32.94 tff(26798,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26799,plain,
% 49.94/32.94 (^[VarCurr: state_type] : rewrite(((~v200(VarCurr)) | (~v166(VarCurr))) <=> ((~v166(VarCurr)) | (~v200(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26800,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v200(VarCurr)) | (~v166(VarCurr))) <=> ![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26799])).
% 49.94/32.94 tff(26801,axiom,(![VarCurr: state_type] : ((~v200(VarCurr)) | (~v166(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1_1')).
% 49.94/32.94 tff(26802,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26801, 26800])).
% 49.94/32.94 tff(26803,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26802, 26798])).
% 49.94/32.94 tff(26804,plain,(
% 49.94/32.94 ![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 49.94/32.94 inference(skolemize,[status(sab)],[26803])).
% 49.94/32.94 tff(26805,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26804, 26797])).
% 49.94/32.94 tff(26806,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB63)) | (~v200(constB63)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB63)) | (~v200(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26807,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB63)) | (~v200(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26808,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB63)) | (~v200(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26807, 26806])).
% 49.94/32.94 tff(26809,plain,
% 49.94/32.94 (~v166(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26808, 26805, 26735])).
% 49.94/32.94 tff(26810,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB63) | v166(constB63) | (~v197(constB63)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB63) | v166(constB63) | (~v197(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26811,plain,
% 49.94/32.94 (((~v197(constB63)) | v166(constB63) | v241(constB63)) <=> (v241(constB63) | v166(constB63) | (~v197(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26812,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB63)) | v166(constB63) | v241(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB63) | v166(constB63) | (~v197(constB63))))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26811])).
% 49.94/32.94 tff(26813,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB63)) | v166(constB63) | v241(constB63))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB63) | v166(constB63) | (~v197(constB63)))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26812, 26810])).
% 49.94/32.94 tff(26814,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB63)) | v166(constB63) | v241(constB63))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26815,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB63) | v166(constB63) | (~v197(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26814, 26813])).
% 49.94/32.94 tff(26816,plain,
% 49.94/32.94 (v241(constB63) | (~v197(constB63))),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26815, 15198, 26809])).
% 49.94/32.94 tff(26817,plain,
% 49.94/32.94 (v241(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26816, 26758])).
% 49.94/32.94 tff(26818,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB63)) | (~v223(constB63, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB63)) | (~v223(constB63, 2)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26819,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB63)) | (~v223(constB63, 2)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26820,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB63)) | (~v223(constB63, 2))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26819, 26818])).
% 49.94/32.94 tff(26821,plain,
% 49.94/32.94 (~v223(constB63, 2)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26820, 15216, 26817])).
% 49.94/32.94 tff(26822,plain,
% 49.94/32.94 (^[VarCurr: state_type] : refl((v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr))) <=> (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26823,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr))) <=> ![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26822])).
% 49.94/32.94 tff(26824,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr))) <=> ![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26825,plain,
% 49.94/32.94 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v242(VarCurr)) | v225(VarCurr)) <=> (v225(VarCurr) | (~v242(VarCurr)))), ((((~v242(VarCurr)) | v225(VarCurr)) | v223(VarCurr, 2)) <=> ((v225(VarCurr) | (~v242(VarCurr))) | v223(VarCurr, 2)))), rewrite(((v225(VarCurr) | (~v242(VarCurr))) | v223(VarCurr, 2)) <=> (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))), ((((~v242(VarCurr)) | v225(VarCurr)) | v223(VarCurr, 2)) <=> (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26826,plain,
% 49.94/32.94 (![VarCurr: state_type] : (((~v242(VarCurr)) | v225(VarCurr)) | v223(VarCurr, 2)) <=> ![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26825])).
% 49.94/32.94 tff(26827,axiom,(![VarCurr: state_type] : (((~v242(VarCurr)) | v225(VarCurr)) | v223(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_64_1_3')).
% 49.94/32.94 tff(26828,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26827, 26826])).
% 49.94/32.94 tff(26829,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26828, 26824])).
% 49.94/32.94 tff(26830,plain,(
% 49.94/32.94 ![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))),
% 49.94/32.94 inference(skolemize,[status(sab)],[26829])).
% 49.94/32.94 tff(26831,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26830, 26823])).
% 49.94/32.94 tff(26832,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB63) | v223(constB63, 2) | (~v242(constB63)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB63) | v223(constB63, 2) | (~v242(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26833,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB63) | v223(constB63, 2) | (~v242(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26834,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB63) | v223(constB63, 2) | (~v242(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26833, 26832])).
% 49.94/32.94 tff(26835,plain,
% 49.94/32.94 (v225(constB63) | (~v242(constB63))),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26834, 26831, 26821])).
% 49.94/32.94 tff(26836,plain,
% 49.94/32.94 (~v242(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26835, 26795])).
% 49.94/32.94 tff(26837,plain,
% 49.94/32.94 (^[VarCurr: state_type] : refl((v242(VarCurr) | (~v238(VarCurr))) <=> (v242(VarCurr) | (~v238(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26838,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr))) <=> ![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26837])).
% 49.94/32.94 tff(26839,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr))) <=> ![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26840,plain,
% 49.94/32.94 (^[VarCurr: state_type] : rewrite(((~v238(VarCurr)) | v242(VarCurr)) <=> (v242(VarCurr) | (~v238(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26841,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v238(VarCurr)) | v242(VarCurr)) <=> ![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26840])).
% 49.94/32.94 tff(26842,axiom,(![VarCurr: state_type] : ((~v238(VarCurr)) | v242(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_65_1_2')).
% 49.94/32.94 tff(26843,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26842, 26841])).
% 49.94/32.94 tff(26844,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26843, 26839])).
% 49.94/32.94 tff(26845,plain,(
% 49.94/32.94 ![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))),
% 49.94/32.94 inference(skolemize,[status(sab)],[26844])).
% 49.94/32.94 tff(26846,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26845, 26838])).
% 49.94/32.94 tff(26847,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB63) | (~v238(constB63)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB63) | (~v238(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26848,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB63) | (~v238(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26849,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB63) | (~v238(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26848, 26847])).
% 49.94/32.94 tff(26850,plain,
% 49.94/32.94 (~v238(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26849, 26846, 26836])).
% 49.94/32.94 tff(26851,plain,
% 49.94/32.94 (^[VarCurr: state_type] : refl((v238(VarCurr) | (~v237(VarCurr))) <=> (v238(VarCurr) | (~v237(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26852,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr))) <=> ![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26851])).
% 49.94/32.94 tff(26853,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr))) <=> ![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26854,plain,
% 49.94/32.94 (^[VarCurr: state_type] : rewrite(((~v237(VarCurr)) | v238(VarCurr)) <=> (v238(VarCurr) | (~v237(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26855,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v237(VarCurr)) | v238(VarCurr)) <=> ![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26854])).
% 49.94/32.94 tff(26856,axiom,(![VarCurr: state_type] : ((~v237(VarCurr)) | v238(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_3')).
% 49.94/32.94 tff(26857,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26856, 26855])).
% 49.94/32.94 tff(26858,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26857, 26853])).
% 49.94/32.94 tff(26859,plain,(
% 49.94/32.94 ![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))),
% 49.94/32.94 inference(skolemize,[status(sab)],[26858])).
% 49.94/32.94 tff(26860,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26859, 26852])).
% 49.94/32.94 tff(26861,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB63) | (~v237(constB63)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB63) | (~v237(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26862,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB63) | (~v237(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26863,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB63) | (~v237(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 49.94/32.94 tff(26864,plain,
% 49.94/32.94 (~v237(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26863, 26860, 26850])).
% 49.94/32.94 tff(26865,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB63)) | v223(constB63, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB63)) | v223(constB63, 2))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26866,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB63)) | v223(constB63, 2))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26867,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB63)) | v223(constB63, 2)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26866, 26865])).
% 49.94/32.94 tff(26868,plain,
% 49.94/32.94 (~v224(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26867, 15227, 26821])).
% 49.94/32.94 tff(26869,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB63)) | v223(constB63, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB63)) | v223(constB63, 1))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26870,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB63)) | v223(constB63, 1))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26871,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB63)) | v223(constB63, 1)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26870, 26869])).
% 49.94/32.94 tff(26872,plain,
% 49.94/32.94 (~v222(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26871, 26413, 26784])).
% 49.94/32.94 tff(26873,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB63) | v224(constB63) | (~v236(constB63)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB63) | v224(constB63) | (~v236(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26874,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB63) | v224(constB63) | (~v236(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26875,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB63) | v224(constB63) | (~v236(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26874, 26873])).
% 49.94/32.94 tff(26876,plain,
% 49.94/32.94 (~v236(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26875, 15241, 26872, 26868])).
% 49.94/32.94 tff(26877,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB63) | (~v232(constB63)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB63) | (~v232(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26878,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB63) | (~v232(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26879,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB63) | (~v232(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26878, 26877])).
% 49.94/32.94 tff(26880,plain,
% 49.94/32.94 (~v232(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26879, 15255, 26876])).
% 49.94/32.94 tff(26881,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB63) | v237(constB63) | (~v248(constB63)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB63) | v237(constB63) | (~v248(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26882,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB63) | v237(constB63) | (~v248(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26883,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB63) | v237(constB63) | (~v248(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26882, 26881])).
% 49.94/32.94 tff(26884,plain,
% 49.94/32.94 (v237(constB63) | (~v248(constB63))),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26883, 15323, 26880])).
% 49.94/32.94 tff(26885,plain,
% 49.94/32.94 (~v248(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26884, 26864])).
% 49.94/32.94 tff(26886,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB63) | (~v244(constB63)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB63) | (~v244(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26887,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB63) | (~v244(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26888,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB63) | (~v244(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26887, 26886])).
% 49.94/32.94 tff(26889,plain,
% 49.94/32.94 (~v244(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26888, 15338, 26885])).
% 49.94/32.94 tff(26890,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB63) | (~v216(constB63, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB63) | (~v216(constB63, 1)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26891,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB63) | (~v216(constB63, 1)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26892,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB63) | (~v216(constB63, 1))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26891, 26890])).
% 49.94/32.94 tff(26893,plain,
% 49.94/32.94 (~v216(constB63, 1)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26892, 15352, 26889])).
% 49.94/32.94 tff(26894,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB63)) | v216(constB63, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB63)) | v216(constB63, 1))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26895,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB63)) | v216(constB63, 1))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26896,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB63)) | v216(constB63, 1)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26895, 26894])).
% 49.94/32.94 tff(26897,plain,
% 49.94/32.94 (~v254(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26896, 15363, 26893])).
% 49.94/32.94 tff(26898,plain,
% 49.94/32.94 (^[VarCurr: state_type] : refl((v232(VarCurr) | (~v231(VarCurr))) <=> (v232(VarCurr) | (~v231(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26899,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26898])).
% 49.94/32.94 tff(26900,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26901,plain,
% 49.94/32.94 (^[VarCurr: state_type] : rewrite(((~v231(VarCurr)) | v232(VarCurr)) <=> (v232(VarCurr) | (~v231(VarCurr))))),
% 49.94/32.94 inference(bind,[status(th)],[])).
% 49.94/32.94 tff(26902,plain,
% 49.94/32.94 (![VarCurr: state_type] : ((~v231(VarCurr)) | v232(VarCurr)) <=> ![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.94/32.94 inference(quant_intro,[status(thm)],[26901])).
% 49.94/32.94 tff(26903,axiom,(![VarCurr: state_type] : ((~v231(VarCurr)) | v232(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_3')).
% 49.94/32.94 tff(26904,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26903, 26902])).
% 49.94/32.94 tff(26905,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26904, 26900])).
% 49.94/32.94 tff(26906,plain,(
% 49.94/32.94 ![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.94/32.94 inference(skolemize,[status(sab)],[26905])).
% 49.94/32.94 tff(26907,plain,
% 49.94/32.94 (![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26906, 26899])).
% 49.94/32.94 tff(26908,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB63) | (~v231(constB63)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB63) | (~v231(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26909,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB63) | (~v231(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26910,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB63) | (~v231(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26909, 26908])).
% 49.94/32.94 tff(26911,plain,
% 49.94/32.94 (~v231(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26910, 26907, 26880])).
% 49.94/32.94 tff(26912,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB63) | (~v221(constB63)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB63) | (~v221(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26913,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB63) | (~v221(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26914,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB63) | (~v221(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26913, 26912])).
% 49.94/32.94 tff(26915,plain,
% 49.94/32.94 (~v221(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26914, 26489, 26872])).
% 49.94/32.94 tff(26916,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB63) | v231(constB63) | (~v243(constB63)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB63) | v231(constB63) | (~v243(constB63)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26917,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB63) | v231(constB63) | (~v243(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26918,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB63) | v231(constB63) | (~v243(constB63))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26917, 26916])).
% 49.94/32.94 tff(26919,plain,
% 49.94/32.94 (v231(constB63) | (~v243(constB63))),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26918, 15405, 26915])).
% 49.94/32.94 tff(26920,plain,
% 49.94/32.94 (~v243(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26919, 26911])).
% 49.94/32.94 tff(26921,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB63) | v255(constB63))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB63) | v255(constB63))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26922,plain,
% 49.94/32.94 ((v255(constB63) | v243(constB63)) <=> (v243(constB63) | v255(constB63))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26923,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB63) | v243(constB63))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB63) | v255(constB63)))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26922])).
% 49.94/32.94 tff(26924,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB63) | v243(constB63))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB63) | v255(constB63))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26923, 26921])).
% 49.94/32.94 tff(26925,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB63) | v243(constB63))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26926,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB63) | v255(constB63)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26925, 26924])).
% 49.94/32.94 tff(26927,plain,
% 49.94/32.94 (v255(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26926, 15416, 26920])).
% 49.94/32.94 tff(26928,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB63)) | (~v216(constB63, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB63)) | (~v216(constB63, 2)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26929,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB63)) | (~v216(constB63, 2)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26930,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB63)) | (~v216(constB63, 2))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26929, 26928])).
% 49.94/32.94 tff(26931,plain,
% 49.94/32.94 (~v216(constB63, 2)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26930, 15433, 26927])).
% 49.94/32.94 tff(26932,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB63, 2) | (~v215(constB63)) | v254(constB63))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB63, 2) | (~v215(constB63)) | v254(constB63))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26933,plain,
% 49.94/32.94 ((v216(constB63, 2) | v254(constB63) | (~v215(constB63))) <=> (v216(constB63, 2) | (~v215(constB63)) | v254(constB63))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26934,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB63, 2) | v254(constB63) | (~v215(constB63)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB63, 2) | (~v215(constB63)) | v254(constB63)))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26933])).
% 49.94/32.94 tff(26935,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB63, 2) | v254(constB63) | (~v215(constB63)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB63, 2) | (~v215(constB63)) | v254(constB63))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26934, 26932])).
% 49.94/32.94 tff(26936,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB63, 2) | v254(constB63) | (~v215(constB63)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26937,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB63, 2) | (~v215(constB63)) | v254(constB63)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26936, 26935])).
% 49.94/32.94 tff(26938,plain,
% 49.94/32.94 ((~v215(constB63)) | v254(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26937, 15447, 26931])).
% 49.94/32.94 tff(26939,plain,
% 49.94/32.94 (~v215(constB63)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26938, 26897])).
% 49.94/32.94 tff(26940,plain,
% 49.94/32.94 ($false),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26939, 26690])).
% 49.94/32.94 tff(26941,plain,(~(constB63 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.94 tff(26942,assumption,(constB19 = sK_VarCurr), introduced(assumption)).
% 49.94/32.94 tff(26943,plain,
% 49.94/32.94 (v215(constB19) <=> v215(sK_VarCurr)),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26942])).
% 49.94/32.94 tff(26944,plain,
% 49.94/32.94 (v215(sK_VarCurr) <=> v215(constB19)),
% 49.94/32.94 inference(symmetry,[status(thm)],[26943])).
% 49.94/32.94 tff(26945,plain,
% 49.94/32.94 (v215(constB19)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[34, 26944])).
% 49.94/32.94 tff(26946,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB19, 2)) | v90(constB19, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB19, 2)) | v90(constB19, 2))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26947,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB19, 2)) | v90(constB19, 2))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26948,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB19, 2)) | v90(constB19, 2)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26947, 26946])).
% 49.94/32.94 tff(26949,plain,
% 49.94/32.94 (~v88(constB19, 2)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26948, 26020, 2601])).
% 49.94/32.94 tff(26950,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB19, 1)) | v88(constB19, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB19, 1)) | v88(constB19, 1))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26951,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB19, 1)) | v88(constB19, 1))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26952,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB19, 1)) | v88(constB19, 1)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26951, 26950])).
% 49.94/32.94 tff(26953,plain,
% 49.94/32.94 (v88(constB19, 1)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26952, 15014, 2632])).
% 49.94/32.94 tff(26954,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB19, 0)) | v88(constB19, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB19, 0)) | v88(constB19, 0))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26955,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB19, 0)) | v88(constB19, 0))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26956,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB19, 0)) | v88(constB19, 0)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 49.94/32.94 tff(26957,plain,
% 49.94/32.94 (v88(constB19, 0)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26956, 26254, 2663])).
% 49.94/32.94 tff(26958,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26959,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26960,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26959, 26958])).
% 49.94/32.94 tff(26961,plain,
% 49.94/32.94 (v141(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26960, 26268, 26957, 26953, 26949])).
% 49.94/32.94 tff(26962,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB19)) | v199(constB19))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB19)) | v199(constB19))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26963,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB19)) | v199(constB19))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26964,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB19)) | v199(constB19)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26963, 26962])).
% 49.94/32.94 tff(26965,plain,
% 49.94/32.94 (v199(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26964, 26282, 26961])).
% 49.94/32.94 tff(26966,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB19) | (~v199(constB19)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB19) | (~v199(constB19)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26967,plain,
% 49.94/32.94 (((~v199(constB19)) | v198(constB19)) <=> (v198(constB19) | (~v199(constB19)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26968,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB19)) | v198(constB19))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB19) | (~v199(constB19))))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26967])).
% 49.94/32.94 tff(26969,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB19)) | v198(constB19))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB19) | (~v199(constB19)))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26968, 26966])).
% 49.94/32.94 tff(26970,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB19)) | v198(constB19))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26971,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB19) | (~v199(constB19))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 49.94/32.94 tff(26972,plain,
% 49.94/32.94 (v198(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26971, 26293, 26965])).
% 49.94/32.94 tff(26973,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB19)) | (~v201(constB19)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB19)) | (~v201(constB19)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26974,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB19)) | (~v201(constB19)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26975,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB19)) | (~v201(constB19))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26974, 26973])).
% 49.94/32.94 tff(26976,plain,
% 49.94/32.94 (~v201(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26975, 15064, 26972])).
% 49.94/32.94 tff(26977,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB19) | (~v198(constB19)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB19) | (~v198(constB19)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26978,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB19) | (~v198(constB19)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26979,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB19) | (~v198(constB19))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26978, 26977])).
% 49.94/32.94 tff(26980,plain,
% 49.94/32.94 (v197(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26979, 15078, 26972])).
% 49.94/32.94 tff(26981,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB19) | (~v197(constB19)) | v201(constB19))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB19) | (~v197(constB19)) | v201(constB19))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26982,plain,
% 49.94/32.94 (((~v197(constB19)) | v201(constB19) | v227(constB19)) <=> (v227(constB19) | (~v197(constB19)) | v201(constB19))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26983,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB19)) | v201(constB19) | v227(constB19))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB19) | (~v197(constB19)) | v201(constB19)))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26982])).
% 49.94/32.94 tff(26984,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB19)) | v201(constB19) | v227(constB19))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB19) | (~v197(constB19)) | v201(constB19))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26983, 26981])).
% 49.94/32.94 tff(26985,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB19)) | v201(constB19) | v227(constB19))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26986,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB19) | (~v197(constB19)) | v201(constB19)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 49.94/32.94 tff(26987,plain,
% 49.94/32.94 (v227(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26986, 15092, 26980, 26976])).
% 49.94/32.94 tff(26988,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB19)) | (~v223(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB19)) | (~v223(constB19, 0)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26989,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB19)) | (~v223(constB19, 0)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26990,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB19)) | (~v223(constB19, 0))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 49.94/32.94 tff(26991,plain,
% 49.94/32.94 (~v223(constB19, 0)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26990, 15109, 26987])).
% 49.94/32.94 tff(26992,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB19)) | (~v199(constB19)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB19)) | (~v199(constB19)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26993,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB19)) | (~v199(constB19)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(26994,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB19)) | (~v199(constB19))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[26993, 26992])).
% 49.94/32.94 tff(26995,plain,
% 49.94/32.94 (~v183(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[26994, 26326, 26965])).
% 49.94/32.94 tff(26996,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB19) | (~v197(constB19)) | v183(constB19))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB19) | (~v197(constB19)) | v183(constB19))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26997,plain,
% 49.94/32.94 (((~v197(constB19)) | v183(constB19) | v228(constB19)) <=> (v228(constB19) | (~v197(constB19)) | v183(constB19))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(26998,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB19)) | v183(constB19) | v228(constB19))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB19) | (~v197(constB19)) | v183(constB19)))),
% 49.94/32.94 inference(monotonicity,[status(thm)],[26997])).
% 49.94/32.94 tff(26999,plain,
% 49.94/32.94 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB19)) | v183(constB19) | v228(constB19))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB19) | (~v197(constB19)) | v183(constB19))),
% 49.94/32.94 inference(transitivity,[status(thm)],[26998, 26996])).
% 49.94/32.94 tff(27000,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB19)) | v183(constB19) | v228(constB19))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(27001,plain,
% 49.94/32.94 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB19) | (~v197(constB19)) | v183(constB19)),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[27000, 26999])).
% 49.94/32.94 tff(27002,plain,
% 49.94/32.94 (v228(constB19)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[27001, 26340, 26980, 26995])).
% 49.94/32.94 tff(27003,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB19)) | (~v223(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB19)) | (~v223(constB19, 1)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(27004,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB19)) | (~v223(constB19, 1)))),
% 49.94/32.94 inference(quant_inst,[status(thm)],[])).
% 49.94/32.94 tff(27005,plain,
% 49.94/32.94 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB19)) | (~v223(constB19, 1))),
% 49.94/32.94 inference(modus_ponens,[status(thm)],[27004, 27003])).
% 49.94/32.94 tff(27006,plain,
% 49.94/32.94 (~v223(constB19, 1)),
% 49.94/32.94 inference(unit_resolution,[status(thm)],[27005, 26357, 27002])).
% 49.94/32.94 tff(27007,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB19, 1) | v223(constB19, 0) | (~v229(constB19)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB19, 1) | v223(constB19, 0) | (~v229(constB19)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(27008,plain,
% 49.94/32.94 ((v223(constB19, 0) | v223(constB19, 1) | (~v229(constB19))) <=> (v223(constB19, 1) | v223(constB19, 0) | (~v229(constB19)))),
% 49.94/32.94 inference(rewrite,[status(thm)],[])).
% 49.94/32.94 tff(27009,plain,
% 49.94/32.94 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB19, 0) | v223(constB19, 1) | (~v229(constB19)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB19, 1) | v223(constB19, 0) | (~v229(constB19))))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27008])).
% 49.94/32.95 tff(27010,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB19, 0) | v223(constB19, 1) | (~v229(constB19)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB19, 1) | v223(constB19, 0) | (~v229(constB19)))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27009, 27007])).
% 49.94/32.95 tff(27011,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB19, 0) | v223(constB19, 1) | (~v229(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27012,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB19, 1) | v223(constB19, 0) | (~v229(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27011, 27010])).
% 49.94/32.95 tff(27013,plain,
% 49.94/32.95 (~v229(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27012, 26371, 27006, 26991])).
% 49.94/32.95 tff(27014,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB19) | (~v225(constB19)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB19) | (~v225(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27015,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB19) | (~v225(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27016,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB19) | (~v225(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27015, 27014])).
% 49.94/32.95 tff(27017,plain,
% 49.94/32.95 (~v225(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27016, 26388, 27013])).
% 49.94/32.95 tff(27018,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB19) | (~v224(constB19)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB19) | (~v224(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27019,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB19) | (~v224(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27020,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB19) | (~v224(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27019, 27018])).
% 49.94/32.95 tff(27021,plain,
% 49.94/32.95 (~v224(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27020, 26402, 27017])).
% 49.94/32.95 tff(27022,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB19)) | v223(constB19, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB19)) | v223(constB19, 1))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27023,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB19)) | v223(constB19, 1))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27024,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB19)) | v223(constB19, 1)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27023, 27022])).
% 49.94/32.95 tff(27025,plain,
% 49.94/32.95 (~v222(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27024, 26413, 27006])).
% 49.94/32.95 tff(27026,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB19) | v224(constB19) | (~v236(constB19)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB19) | v224(constB19) | (~v236(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27027,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB19) | v224(constB19) | (~v236(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27028,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB19) | v224(constB19) | (~v236(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27027, 27026])).
% 49.94/32.95 tff(27029,plain,
% 49.94/32.95 (v224(constB19) | (~v236(constB19))),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27028, 15241, 27025])).
% 49.94/32.95 tff(27030,plain,
% 49.94/32.95 (~v236(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27029, 27021])).
% 49.94/32.95 tff(27031,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB19) | (~v232(constB19)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB19) | (~v232(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27032,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB19) | (~v232(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27033,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB19) | (~v232(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27032, 27031])).
% 49.94/32.95 tff(27034,plain,
% 49.94/32.95 (~v232(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27033, 15255, 27030])).
% 49.94/32.95 tff(27035,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB19)) | (~v88(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB19)) | (~v88(constB19, 1)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27036,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB19)) | (~v88(constB19, 1)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27037,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB19)) | (~v88(constB19, 1))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27036, 27035])).
% 49.94/32.95 tff(27038,plain,
% 49.94/32.95 (~v140(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27037, 15142, 26953])).
% 49.94/32.95 tff(27039,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB19)) | (~v88(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB19)) | (~v88(constB19, 0)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27040,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB19)) | (~v88(constB19, 0)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27041,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB19)) | (~v88(constB19, 0))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27040, 27039])).
% 49.94/32.95 tff(27042,plain,
% 49.94/32.95 (~v139(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27041, 26437, 26957])).
% 49.94/32.95 tff(27043,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB19) | v140(constB19) | (~v148(constB19)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB19) | v140(constB19) | (~v148(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27044,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB19) | v140(constB19) | (~v148(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27045,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB19) | v140(constB19) | (~v148(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27044, 27043])).
% 49.94/32.95 tff(27046,plain,
% 49.94/32.95 (~v148(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27045, 15269, 27042, 27038])).
% 49.94/32.95 tff(27047,plain,
% 49.94/32.95 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB19) | v252(constB19) | (~v197(constB19)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB19) | v252(constB19) | (~v197(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27048,plain,
% 49.94/32.95 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB19) | v252(constB19) | (~v197(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27049,plain,
% 49.94/32.95 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB19) | v252(constB19) | (~v197(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27048, 27047])).
% 49.94/32.95 tff(27050,plain,
% 49.94/32.95 (v252(constB19) | (~v197(constB19))),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27049, 15283, 27046])).
% 49.94/32.95 tff(27051,plain,
% 49.94/32.95 (v252(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27050, 26980])).
% 49.94/32.95 tff(27052,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB19)) | (~v223(constB19, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB19)) | (~v223(constB19, 3)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27053,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB19)) | (~v223(constB19, 3)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27054,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB19)) | (~v223(constB19, 3))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27053, 27052])).
% 49.94/32.95 tff(27055,plain,
% 49.94/32.95 (~v223(constB19, 3)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27054, 15298, 27051])).
% 49.94/32.95 tff(27056,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB19)) | v223(constB19, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB19)) | v223(constB19, 3))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27057,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB19)) | v223(constB19, 3))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27058,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB19)) | v223(constB19, 3)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27057, 27056])).
% 49.94/32.95 tff(27059,plain,
% 49.94/32.95 (~v237(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27058, 15309, 27055])).
% 49.94/32.95 tff(27060,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB19) | v237(constB19) | (~v248(constB19)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB19) | v237(constB19) | (~v248(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27061,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB19) | v237(constB19) | (~v248(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27062,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB19) | v237(constB19) | (~v248(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27061, 27060])).
% 49.94/32.95 tff(27063,plain,
% 49.94/32.95 (v232(constB19) | (~v248(constB19))),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27062, 15323, 27059])).
% 49.94/32.95 tff(27064,plain,
% 49.94/32.95 (~v248(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27063, 27034])).
% 49.94/32.95 tff(27065,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB19) | (~v244(constB19)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB19) | (~v244(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27066,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB19) | (~v244(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27067,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB19) | (~v244(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27066, 27065])).
% 49.94/32.95 tff(27068,plain,
% 49.94/32.95 (~v244(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27067, 15338, 27064])).
% 49.94/32.95 tff(27069,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB19) | (~v216(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB19) | (~v216(constB19, 1)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27070,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB19) | (~v216(constB19, 1)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27071,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB19) | (~v216(constB19, 1))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27070, 27069])).
% 49.94/32.95 tff(27072,plain,
% 49.94/32.95 (~v216(constB19, 1)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27071, 15352, 27068])).
% 49.94/32.95 tff(27073,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB19)) | v216(constB19, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB19)) | v216(constB19, 1))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27074,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB19)) | v216(constB19, 1))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27075,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB19)) | v216(constB19, 1)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27074, 27073])).
% 49.94/32.95 tff(27076,plain,
% 49.94/32.95 (~v254(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27075, 15363, 27072])).
% 49.94/32.95 tff(27077,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB19) | (~v231(constB19)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB19) | (~v231(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27078,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB19) | (~v231(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27079,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB19) | (~v231(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27078, 27077])).
% 49.94/32.95 tff(27080,plain,
% 49.94/32.95 (~v231(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27079, 15391, 27059])).
% 49.94/32.95 tff(27081,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB19) | (~v221(constB19)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB19) | (~v221(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27082,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB19) | (~v221(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27083,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB19) | (~v221(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27082, 27081])).
% 49.94/32.95 tff(27084,plain,
% 49.94/32.95 (~v221(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27083, 26489, 27025])).
% 49.94/32.95 tff(27085,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB19) | v231(constB19) | (~v243(constB19)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB19) | v231(constB19) | (~v243(constB19)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27086,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB19) | v231(constB19) | (~v243(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27087,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB19) | v231(constB19) | (~v243(constB19))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27086, 27085])).
% 49.94/32.95 tff(27088,plain,
% 49.94/32.95 (~v243(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27087, 15405, 27084, 27080])).
% 49.94/32.95 tff(27089,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB19) | v255(constB19))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB19) | v255(constB19))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27090,plain,
% 49.94/32.95 ((v255(constB19) | v243(constB19)) <=> (v243(constB19) | v255(constB19))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27091,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB19) | v243(constB19))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB19) | v255(constB19)))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27090])).
% 49.94/32.95 tff(27092,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB19) | v243(constB19))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB19) | v255(constB19))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27091, 27089])).
% 49.94/32.95 tff(27093,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB19) | v243(constB19))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27094,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB19) | v255(constB19)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27093, 27092])).
% 49.94/32.95 tff(27095,plain,
% 49.94/32.95 (v255(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27094, 15416, 27088])).
% 49.94/32.95 tff(27096,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB19)) | (~v216(constB19, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB19)) | (~v216(constB19, 2)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27097,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB19)) | (~v216(constB19, 2)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27098,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB19)) | (~v216(constB19, 2))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27097, 27096])).
% 49.94/32.95 tff(27099,plain,
% 49.94/32.95 (~v216(constB19, 2)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27098, 15433, 27095])).
% 49.94/32.95 tff(27100,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB19)) | v254(constB19) | v216(constB19, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB19)) | v254(constB19) | v216(constB19, 2))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27101,plain,
% 49.94/32.95 ((v216(constB19, 2) | v254(constB19) | (~v215(constB19))) <=> ((~v215(constB19)) | v254(constB19) | v216(constB19, 2))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27102,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB19, 2) | v254(constB19) | (~v215(constB19)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB19)) | v254(constB19) | v216(constB19, 2)))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27101])).
% 49.94/32.95 tff(27103,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB19, 2) | v254(constB19) | (~v215(constB19)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB19)) | v254(constB19) | v216(constB19, 2))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27102, 27100])).
% 49.94/32.95 tff(27104,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB19, 2) | v254(constB19) | (~v215(constB19)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27105,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB19)) | v254(constB19) | v216(constB19, 2)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27104, 27103])).
% 49.94/32.95 tff(27106,plain,
% 49.94/32.95 ((~v215(constB19)) | v254(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27105, 15447, 27099])).
% 49.94/32.95 tff(27107,plain,
% 49.94/32.95 (~v215(constB19)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27106, 27076])).
% 49.94/32.95 tff(27108,plain,
% 49.94/32.95 ($false),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27107, 26945])).
% 49.94/32.95 tff(27109,plain,(~(constB19 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.95 tff(27110,assumption,(constB5 = sK_VarCurr), introduced(assumption)).
% 49.94/32.95 tff(27111,plain,
% 49.94/32.95 (v215(constB5) <=> v215(sK_VarCurr)),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27110])).
% 49.94/32.95 tff(27112,plain,
% 49.94/32.95 (v215(sK_VarCurr) <=> v215(constB5)),
% 49.94/32.95 inference(symmetry,[status(thm)],[27111])).
% 49.94/32.95 tff(27113,plain,
% 49.94/32.95 (v215(constB5)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[34, 27112])).
% 49.94/32.95 tff(27114,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB5, 2)) | v90(constB5, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB5, 2)) | v90(constB5, 2))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27115,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB5, 2)) | v90(constB5, 2))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27116,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB5, 2)) | v90(constB5, 2)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27115, 27114])).
% 49.94/32.95 tff(27117,plain,
% 49.94/32.95 (~v88(constB5, 2)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27116, 26020, 831])).
% 49.94/32.95 tff(27118,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB5, 0)) | v90(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB5, 0)) | v90(constB5, 0))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27119,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB5, 0)) | v90(constB5, 0))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27120,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB5, 0)) | v90(constB5, 0)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27119, 27118])).
% 49.94/32.95 tff(27121,plain,
% 49.94/32.95 (~v88(constB5, 0)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27120, 14930, 980])).
% 49.94/32.95 tff(27122,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB5, 1)) | v88(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB5, 1)) | v88(constB5, 1))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27123,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB5, 1)) | v88(constB5, 1))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27124,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB5, 1)) | v88(constB5, 1)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27123, 27122])).
% 49.94/32.95 tff(27125,plain,
% 49.94/32.95 (v88(constB5, 1)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27124, 15014, 909])).
% 49.94/32.95 tff(27126,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27127,plain,
% 49.94/32.95 ((v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5)) <=> (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27128,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5)))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27127])).
% 49.94/32.95 tff(27129,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27128, 27126])).
% 49.94/32.95 tff(27130,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27131,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 49.94/32.95 tff(27132,plain,
% 49.94/32.95 (v143(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27131, 26042, 27125, 27121, 27117])).
% 49.94/32.95 tff(27133,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB5)) | v142(constB5))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27134,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27135,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB5)) | v142(constB5)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27134, 27133])).
% 49.94/32.95 tff(27136,plain,
% 49.94/32.95 (v142(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27135, 26056, 27132])).
% 49.94/32.95 tff(27137,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB5) | (~v142(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27138,plain,
% 49.94/32.95 (((~v142(constB5)) | v198(constB5)) <=> (v198(constB5) | (~v142(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27139,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB5)) | v198(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB5) | (~v142(constB5))))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27138])).
% 49.94/32.95 tff(27140,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB5)) | v198(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB5) | (~v142(constB5)))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27139, 27137])).
% 49.94/32.95 tff(27141,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB5)) | v198(constB5))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27142,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB5) | (~v142(constB5))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27141, 27140])).
% 49.94/32.95 tff(27143,plain,
% 49.94/32.95 (v198(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27142, 15053, 27136])).
% 49.94/32.95 tff(27144,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB5)) | (~v201(constB5)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB5)) | (~v201(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27145,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB5)) | (~v201(constB5)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27146,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB5)) | (~v201(constB5))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27145, 27144])).
% 49.94/32.95 tff(27147,plain,
% 49.94/32.95 (~v201(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27146, 15064, 27143])).
% 49.94/32.95 tff(27148,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB5) | (~v198(constB5)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB5) | (~v198(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27149,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB5) | (~v198(constB5)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27150,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB5) | (~v198(constB5))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27149, 27148])).
% 49.94/32.95 tff(27151,plain,
% 49.94/32.95 (v197(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27150, 15078, 27143])).
% 49.94/32.95 tff(27152,plain,
% 49.94/32.95 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB5) | (~v197(constB5)) | v201(constB5))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB5) | (~v197(constB5)) | v201(constB5))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27153,plain,
% 49.94/32.95 (((~v197(constB5)) | v201(constB5) | v227(constB5)) <=> (v227(constB5) | (~v197(constB5)) | v201(constB5))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27154,plain,
% 49.94/32.95 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB5)) | v201(constB5) | v227(constB5))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB5) | (~v197(constB5)) | v201(constB5)))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27153])).
% 49.94/32.95 tff(27155,plain,
% 49.94/32.95 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB5)) | v201(constB5) | v227(constB5))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB5) | (~v197(constB5)) | v201(constB5))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27154, 27152])).
% 49.94/32.95 tff(27156,plain,
% 49.94/32.95 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB5)) | v201(constB5) | v227(constB5))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27157,plain,
% 49.94/32.95 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB5) | (~v197(constB5)) | v201(constB5)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27156, 27155])).
% 49.94/32.95 tff(27158,plain,
% 49.94/32.95 (v227(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27157, 15092, 27151, 27147])).
% 49.94/32.95 tff(27159,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB5)) | (~v223(constB5, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB5)) | (~v223(constB5, 0)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27160,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB5)) | (~v223(constB5, 0)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27161,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB5)) | (~v223(constB5, 0))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27160, 27159])).
% 49.94/32.95 tff(27162,plain,
% 49.94/32.95 (~v223(constB5, 0)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27161, 15109, 27158])).
% 49.94/32.95 tff(27163,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB5)) | v223(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB5)) | v223(constB5, 0))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27164,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB5)) | v223(constB5, 0))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27165,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB5)) | v223(constB5, 0)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 49.94/32.95 tff(27166,plain,
% 49.94/32.95 (~v222(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27165, 15120, 27162])).
% 49.94/32.95 tff(27167,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB5)) | (~v88(constB5, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB5)) | (~v88(constB5, 1)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27168,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB5)) | (~v88(constB5, 1)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27169,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB5)) | (~v88(constB5, 1))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27168, 27167])).
% 49.94/32.95 tff(27170,plain,
% 49.94/32.95 (~v139(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27169, 15131, 27125])).
% 49.94/32.95 tff(27171,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB5)) | (~v88(constB5, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB5)) | (~v88(constB5, 1)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27172,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB5)) | (~v88(constB5, 1)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27173,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB5)) | (~v88(constB5, 1))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27172, 27171])).
% 49.94/32.95 tff(27174,plain,
% 49.94/32.95 (~v140(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27173, 15142, 27125])).
% 49.94/32.95 tff(27175,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v200(constB5)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB5) | v140(constB5) | (~v200(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27176,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v200(constB5)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27177,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB5) | v140(constB5) | (~v200(constB5))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27176, 27175])).
% 49.94/32.95 tff(27178,plain,
% 49.94/32.95 (~v200(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27177, 15156, 27174, 27170])).
% 49.94/32.95 tff(27179,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB5)) | v88(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB5)) | v88(constB5, 0))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27180,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB5)) | v88(constB5, 0))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27181,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB5)) | v88(constB5, 0)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27180, 27179])).
% 49.94/32.95 tff(27182,plain,
% 49.94/32.95 (~v141(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27181, 26106, 27121])).
% 49.94/32.95 tff(27183,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB5) | v200(constB5) | (~v166(constB5)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB5) | v200(constB5) | (~v166(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27184,plain,
% 49.94/32.95 ((v141(constB5) | (~v166(constB5)) | v200(constB5)) <=> (v141(constB5) | v200(constB5) | (~v166(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27185,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB5) | (~v166(constB5)) | v200(constB5))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB5) | v200(constB5) | (~v166(constB5))))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27184])).
% 49.94/32.95 tff(27186,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB5) | (~v166(constB5)) | v200(constB5))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB5) | v200(constB5) | (~v166(constB5)))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27185, 27183])).
% 49.94/32.95 tff(27187,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB5) | (~v166(constB5)) | v200(constB5))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27188,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB5) | v200(constB5) | (~v166(constB5))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 49.94/32.95 tff(27189,plain,
% 49.94/32.95 (~v166(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27188, 15181, 27182, 27178])).
% 49.94/32.95 tff(27190,plain,
% 49.94/32.95 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB5) | (~v197(constB5)) | v166(constB5))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB5) | (~v197(constB5)) | v166(constB5))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27191,plain,
% 49.94/32.95 (((~v197(constB5)) | v166(constB5) | v241(constB5)) <=> (v241(constB5) | (~v197(constB5)) | v166(constB5))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27192,plain,
% 49.94/32.95 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB5)) | v166(constB5) | v241(constB5))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB5) | (~v197(constB5)) | v166(constB5)))),
% 49.94/32.95 inference(monotonicity,[status(thm)],[27191])).
% 49.94/32.95 tff(27193,plain,
% 49.94/32.95 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB5)) | v166(constB5) | v241(constB5))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB5) | (~v197(constB5)) | v166(constB5))),
% 49.94/32.95 inference(transitivity,[status(thm)],[27192, 27190])).
% 49.94/32.95 tff(27194,plain,
% 49.94/32.95 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB5)) | v166(constB5) | v241(constB5))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27195,plain,
% 49.94/32.95 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB5) | (~v197(constB5)) | v166(constB5)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27194, 27193])).
% 49.94/32.95 tff(27196,plain,
% 49.94/32.95 (v241(constB5) | (~v197(constB5))),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27195, 15198, 27189])).
% 49.94/32.95 tff(27197,plain,
% 49.94/32.95 (v241(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27196, 27151])).
% 49.94/32.95 tff(27198,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB5)) | (~v223(constB5, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB5)) | (~v223(constB5, 2)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27199,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB5)) | (~v223(constB5, 2)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27200,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB5)) | (~v223(constB5, 2))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27199, 27198])).
% 49.94/32.95 tff(27201,plain,
% 49.94/32.95 (~v223(constB5, 2)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27200, 15216, 27197])).
% 49.94/32.95 tff(27202,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB5)) | v223(constB5, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB5)) | v223(constB5, 2))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27203,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB5)) | v223(constB5, 2))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27204,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB5)) | v223(constB5, 2)),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27203, 27202])).
% 49.94/32.95 tff(27205,plain,
% 49.94/32.95 (~v224(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27204, 15227, 27201])).
% 49.94/32.95 tff(27206,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB5) | v224(constB5) | (~v236(constB5)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB5) | v224(constB5) | (~v236(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27207,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB5) | v224(constB5) | (~v236(constB5)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27208,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB5) | v224(constB5) | (~v236(constB5))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27207, 27206])).
% 49.94/32.95 tff(27209,plain,
% 49.94/32.95 (~v236(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27208, 15241, 27205, 27166])).
% 49.94/32.95 tff(27210,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB5) | (~v232(constB5)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB5) | (~v232(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.95 tff(27211,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB5) | (~v232(constB5)))),
% 49.94/32.95 inference(quant_inst,[status(thm)],[])).
% 49.94/32.95 tff(27212,plain,
% 49.94/32.95 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB5) | (~v232(constB5))),
% 49.94/32.95 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 49.94/32.95 tff(27213,plain,
% 49.94/32.95 (~v232(constB5)),
% 49.94/32.95 inference(unit_resolution,[status(thm)],[27212, 15255, 27209])).
% 49.94/32.95 tff(27214,plain,
% 49.94/32.95 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v148(constB5)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB5) | v140(constB5) | (~v148(constB5)))),
% 49.94/32.95 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27215,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v148(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27216,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB5) | v140(constB5) | (~v148(constB5))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27215, 27214])).
% 49.94/32.96 tff(27217,plain,
% 49.94/32.96 (~v148(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27216, 15269, 27174, 27170])).
% 49.94/32.96 tff(27218,plain,
% 49.94/32.96 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB5) | v252(constB5) | (~v197(constB5)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB5) | v252(constB5) | (~v197(constB5)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27219,plain,
% 49.94/32.96 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB5) | v252(constB5) | (~v197(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27220,plain,
% 49.94/32.96 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB5) | v252(constB5) | (~v197(constB5))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27219, 27218])).
% 49.94/32.96 tff(27221,plain,
% 49.94/32.96 (v252(constB5) | (~v197(constB5))),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27220, 15283, 27217])).
% 49.94/32.96 tff(27222,plain,
% 49.94/32.96 (v252(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27221, 27151])).
% 49.94/32.96 tff(27223,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB5)) | (~v223(constB5, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB5)) | (~v223(constB5, 3)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27224,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB5)) | (~v223(constB5, 3)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27225,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB5)) | (~v223(constB5, 3))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27224, 27223])).
% 49.94/32.96 tff(27226,plain,
% 49.94/32.96 (~v223(constB5, 3)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27225, 15298, 27222])).
% 49.94/32.96 tff(27227,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB5)) | v223(constB5, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB5)) | v223(constB5, 3))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27228,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB5)) | v223(constB5, 3))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27229,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB5)) | v223(constB5, 3)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27228, 27227])).
% 49.94/32.96 tff(27230,plain,
% 49.94/32.96 (~v237(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27229, 15309, 27226])).
% 49.94/32.96 tff(27231,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB5) | v237(constB5) | (~v248(constB5)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB5) | v237(constB5) | (~v248(constB5)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27232,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB5) | v237(constB5) | (~v248(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27233,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB5) | v237(constB5) | (~v248(constB5))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27232, 27231])).
% 49.94/32.96 tff(27234,plain,
% 49.94/32.96 (v232(constB5) | (~v248(constB5))),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27233, 15323, 27230])).
% 49.94/32.96 tff(27235,plain,
% 49.94/32.96 (~v248(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27234, 27213])).
% 49.94/32.96 tff(27236,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB5) | (~v244(constB5)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB5) | (~v244(constB5)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27237,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB5) | (~v244(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27238,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB5) | (~v244(constB5))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27237, 27236])).
% 49.94/32.96 tff(27239,plain,
% 49.94/32.96 (~v244(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27238, 15338, 27235])).
% 49.94/32.96 tff(27240,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB5) | (~v216(constB5, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB5) | (~v216(constB5, 1)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27241,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB5) | (~v216(constB5, 1)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27242,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB5) | (~v216(constB5, 1))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27241, 27240])).
% 49.94/32.96 tff(27243,plain,
% 49.94/32.96 (~v216(constB5, 1)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27242, 15352, 27239])).
% 49.94/32.96 tff(27244,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB5)) | v216(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB5)) | v216(constB5, 1))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27245,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB5)) | v216(constB5, 1))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27246,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB5)) | v216(constB5, 1)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27245, 27244])).
% 49.94/32.96 tff(27247,plain,
% 49.94/32.96 (~v254(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27246, 15363, 27243])).
% 49.94/32.96 tff(27248,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB5) | (~v221(constB5)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB5) | (~v221(constB5)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27249,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB5) | (~v221(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27250,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB5) | (~v221(constB5))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27249, 27248])).
% 49.94/32.96 tff(27251,plain,
% 49.94/32.96 (~v221(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27250, 15377, 27205])).
% 49.94/32.96 tff(27252,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB5) | (~v231(constB5)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB5) | (~v231(constB5)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27253,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB5) | (~v231(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27254,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB5) | (~v231(constB5))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27253, 27252])).
% 49.94/32.96 tff(27255,plain,
% 49.94/32.96 (~v231(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27254, 15391, 27230])).
% 49.94/32.96 tff(27256,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB5) | v231(constB5) | (~v243(constB5)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB5) | v231(constB5) | (~v243(constB5)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27257,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB5) | v231(constB5) | (~v243(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27258,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB5) | v231(constB5) | (~v243(constB5))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27257, 27256])).
% 49.94/32.96 tff(27259,plain,
% 49.94/32.96 (~v243(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27258, 15405, 27255, 27251])).
% 49.94/32.96 tff(27260,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB5) | v255(constB5))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB5) | v255(constB5))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27261,plain,
% 49.94/32.96 ((v255(constB5) | v243(constB5)) <=> (v243(constB5) | v255(constB5))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27262,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB5) | v243(constB5))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB5) | v255(constB5)))),
% 49.94/32.96 inference(monotonicity,[status(thm)],[27261])).
% 49.94/32.96 tff(27263,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB5) | v243(constB5))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB5) | v255(constB5))),
% 49.94/32.96 inference(transitivity,[status(thm)],[27262, 27260])).
% 49.94/32.96 tff(27264,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB5) | v243(constB5))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27265,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB5) | v255(constB5)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27264, 27263])).
% 49.94/32.96 tff(27266,plain,
% 49.94/32.96 (v255(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27265, 15416, 27259])).
% 49.94/32.96 tff(27267,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB5)) | (~v216(constB5, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB5)) | (~v216(constB5, 2)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27268,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB5)) | (~v216(constB5, 2)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27269,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB5)) | (~v216(constB5, 2))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27268, 27267])).
% 49.94/32.96 tff(27270,plain,
% 49.94/32.96 (~v216(constB5, 2)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27269, 15433, 27266])).
% 49.94/32.96 tff(27271,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB5, 2) | (~v215(constB5)) | v254(constB5))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB5, 2) | (~v215(constB5)) | v254(constB5))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27272,plain,
% 49.94/32.96 ((v216(constB5, 2) | v254(constB5) | (~v215(constB5))) <=> (v216(constB5, 2) | (~v215(constB5)) | v254(constB5))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27273,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB5, 2) | v254(constB5) | (~v215(constB5)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB5, 2) | (~v215(constB5)) | v254(constB5)))),
% 49.94/32.96 inference(monotonicity,[status(thm)],[27272])).
% 49.94/32.96 tff(27274,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB5, 2) | v254(constB5) | (~v215(constB5)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB5, 2) | (~v215(constB5)) | v254(constB5))),
% 49.94/32.96 inference(transitivity,[status(thm)],[27273, 27271])).
% 49.94/32.96 tff(27275,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB5, 2) | v254(constB5) | (~v215(constB5)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27276,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB5, 2) | (~v215(constB5)) | v254(constB5)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27275, 27274])).
% 49.94/32.96 tff(27277,plain,
% 49.94/32.96 ((~v215(constB5)) | v254(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27276, 15447, 27270])).
% 49.94/32.96 tff(27278,plain,
% 49.94/32.96 (~v215(constB5)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27277, 27247])).
% 49.94/32.96 tff(27279,plain,
% 49.94/32.96 ($false),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27278, 27113])).
% 49.94/32.96 tff(27280,plain,(~(constB5 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.96 tff(27281,assumption,(constB55 = sK_VarCurr), introduced(assumption)).
% 49.94/32.96 tff(27282,plain,
% 49.94/32.96 (v215(constB55) <=> v215(sK_VarCurr)),
% 49.94/32.96 inference(monotonicity,[status(thm)],[27281])).
% 49.94/32.96 tff(27283,plain,
% 49.94/32.96 (v215(sK_VarCurr) <=> v215(constB55)),
% 49.94/32.96 inference(symmetry,[status(thm)],[27282])).
% 49.94/32.96 tff(27284,plain,
% 49.94/32.96 (v215(constB55)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[34, 27283])).
% 49.94/32.96 tff(27285,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB55, 2)) | v90(constB55, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB55, 2)) | v90(constB55, 2))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27286,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB55, 2)) | v90(constB55, 2))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27287,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB55, 2)) | v90(constB55, 2)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27286, 27285])).
% 49.94/32.96 tff(27288,plain,
% 49.94/32.96 (~v88(constB55, 2)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27287, 26020, 6846])).
% 49.94/32.96 tff(27289,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB55, 1)) | v88(constB55, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB55, 1)) | v88(constB55, 1))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27290,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB55, 1)) | v88(constB55, 1))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27291,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB55, 1)) | v88(constB55, 1)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27290, 27289])).
% 49.94/32.96 tff(27292,plain,
% 49.94/32.96 (v88(constB55, 1)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27291, 15014, 6877])).
% 49.94/32.96 tff(27293,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB55, 0)) | v88(constB55, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB55, 0)) | v88(constB55, 0))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27294,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB55, 0)) | v88(constB55, 0))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27295,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB55, 0)) | v88(constB55, 0)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27294, 27293])).
% 49.94/32.96 tff(27296,plain,
% 49.94/32.96 (v88(constB55, 0)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27295, 26254, 6908])).
% 49.94/32.96 tff(27297,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27298,plain,
% 49.94/32.96 ((v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55)) <=> ((~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27299,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55)))),
% 49.94/32.96 inference(monotonicity,[status(thm)],[27298])).
% 49.94/32.96 tff(27300,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))),
% 49.94/32.96 inference(transitivity,[status(thm)],[27299, 27297])).
% 49.94/32.96 tff(27301,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27302,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27301, 27300])).
% 49.94/32.96 tff(27303,plain,
% 49.94/32.96 (v141(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27302, 26268, 27296, 27292, 27288])).
% 49.94/32.96 tff(27304,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB55)) | v199(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB55)) | v199(constB55))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27305,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB55)) | v199(constB55))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27306,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB55)) | v199(constB55)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27305, 27304])).
% 49.94/32.96 tff(27307,plain,
% 49.94/32.96 (v199(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27306, 26282, 27303])).
% 49.94/32.96 tff(27308,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB55)) | v198(constB55))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB55)) | v198(constB55))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27309,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB55)) | v198(constB55))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27310,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB55)) | v198(constB55)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27309, 27308])).
% 49.94/32.96 tff(27311,plain,
% 49.94/32.96 (v198(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27310, 26293, 27307])).
% 49.94/32.96 tff(27312,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB55)) | (~v201(constB55)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB55)) | (~v201(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27313,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB55)) | (~v201(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27314,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB55)) | (~v201(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27313, 27312])).
% 49.94/32.96 tff(27315,plain,
% 49.94/32.96 (~v201(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27314, 15064, 27311])).
% 49.94/32.96 tff(27316,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB55) | (~v198(constB55)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB55) | (~v198(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27317,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB55) | (~v198(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27318,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB55) | (~v198(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 49.94/32.96 tff(27319,plain,
% 49.94/32.96 (v197(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27318, 15078, 27311])).
% 49.94/32.96 tff(27320,plain,
% 49.94/32.96 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB55) | v201(constB55) | (~v197(constB55)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB55) | v201(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27321,plain,
% 49.94/32.96 (((~v197(constB55)) | v201(constB55) | v227(constB55)) <=> (v227(constB55) | v201(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27322,plain,
% 49.94/32.96 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB55)) | v201(constB55) | v227(constB55))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB55) | v201(constB55) | (~v197(constB55))))),
% 49.94/32.96 inference(monotonicity,[status(thm)],[27321])).
% 49.94/32.96 tff(27323,plain,
% 49.94/32.96 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB55)) | v201(constB55) | v227(constB55))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB55) | v201(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(transitivity,[status(thm)],[27322, 27320])).
% 49.94/32.96 tff(27324,plain,
% 49.94/32.96 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB55)) | v201(constB55) | v227(constB55))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27325,plain,
% 49.94/32.96 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB55) | v201(constB55) | (~v197(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 49.94/32.96 tff(27326,plain,
% 49.94/32.96 (v227(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27325, 15092, 27319, 27315])).
% 49.94/32.96 tff(27327,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB55)) | (~v223(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB55)) | (~v223(constB55, 0)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27328,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB55)) | (~v223(constB55, 0)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27329,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB55)) | (~v223(constB55, 0))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27328, 27327])).
% 49.94/32.96 tff(27330,plain,
% 49.94/32.96 (~v223(constB55, 0)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27329, 15109, 27326])).
% 49.94/32.96 tff(27331,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB55)) | (~v199(constB55)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB55)) | (~v199(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27332,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB55)) | (~v199(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27333,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB55)) | (~v199(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 49.94/32.96 tff(27334,plain,
% 49.94/32.96 (~v183(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27333, 26326, 27307])).
% 49.94/32.96 tff(27335,plain,
% 49.94/32.96 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB55) | v183(constB55) | (~v197(constB55)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB55) | v183(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27336,plain,
% 49.94/32.96 (((~v197(constB55)) | v183(constB55) | v228(constB55)) <=> (v228(constB55) | v183(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27337,plain,
% 49.94/32.96 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB55)) | v183(constB55) | v228(constB55))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB55) | v183(constB55) | (~v197(constB55))))),
% 49.94/32.96 inference(monotonicity,[status(thm)],[27336])).
% 49.94/32.96 tff(27338,plain,
% 49.94/32.96 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB55)) | v183(constB55) | v228(constB55))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB55) | v183(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(transitivity,[status(thm)],[27337, 27335])).
% 49.94/32.96 tff(27339,plain,
% 49.94/32.96 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB55)) | v183(constB55) | v228(constB55))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27340,plain,
% 49.94/32.96 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB55) | v183(constB55) | (~v197(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27339, 27338])).
% 49.94/32.96 tff(27341,plain,
% 49.94/32.96 (v228(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27340, 26340, 27319, 27334])).
% 49.94/32.96 tff(27342,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB55)) | (~v223(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB55)) | (~v223(constB55, 1)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27343,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB55)) | (~v223(constB55, 1)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27344,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB55)) | (~v223(constB55, 1))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27343, 27342])).
% 49.94/32.96 tff(27345,plain,
% 49.94/32.96 (~v223(constB55, 1)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27344, 26357, 27341])).
% 49.94/32.96 tff(27346,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB55, 1) | v223(constB55, 0) | (~v229(constB55)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB55, 1) | v223(constB55, 0) | (~v229(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27347,plain,
% 49.94/32.96 ((v223(constB55, 0) | v223(constB55, 1) | (~v229(constB55))) <=> (v223(constB55, 1) | v223(constB55, 0) | (~v229(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27348,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB55, 0) | v223(constB55, 1) | (~v229(constB55)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB55, 1) | v223(constB55, 0) | (~v229(constB55))))),
% 49.94/32.96 inference(monotonicity,[status(thm)],[27347])).
% 49.94/32.96 tff(27349,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB55, 0) | v223(constB55, 1) | (~v229(constB55)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB55, 1) | v223(constB55, 0) | (~v229(constB55)))),
% 49.94/32.96 inference(transitivity,[status(thm)],[27348, 27346])).
% 49.94/32.96 tff(27350,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB55, 0) | v223(constB55, 1) | (~v229(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27351,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB55, 1) | v223(constB55, 0) | (~v229(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27350, 27349])).
% 49.94/32.96 tff(27352,plain,
% 49.94/32.96 (~v229(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27351, 26371, 27345, 27330])).
% 49.94/32.96 tff(27353,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB55) | (~v225(constB55)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB55) | (~v225(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27354,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB55) | (~v225(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27355,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB55) | (~v225(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27354, 27353])).
% 49.94/32.96 tff(27356,plain,
% 49.94/32.96 (~v225(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27355, 26388, 27352])).
% 49.94/32.96 tff(27357,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB55) | (~v224(constB55)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB55) | (~v224(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27358,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB55) | (~v224(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27359,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB55) | (~v224(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 49.94/32.96 tff(27360,plain,
% 49.94/32.96 (~v224(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27359, 26402, 27356])).
% 49.94/32.96 tff(27361,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB55)) | v223(constB55, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB55)) | v223(constB55, 1))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27362,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB55)) | v223(constB55, 1))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27363,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB55)) | v223(constB55, 1)),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27362, 27361])).
% 49.94/32.96 tff(27364,plain,
% 49.94/32.96 (~v222(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27363, 26413, 27345])).
% 49.94/32.96 tff(27365,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB55) | v224(constB55) | (~v236(constB55)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB55) | v224(constB55) | (~v236(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27366,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB55) | v224(constB55) | (~v236(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27367,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB55) | v224(constB55) | (~v236(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27366, 27365])).
% 49.94/32.96 tff(27368,plain,
% 49.94/32.96 (v224(constB55) | (~v236(constB55))),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27367, 15241, 27364])).
% 49.94/32.96 tff(27369,plain,
% 49.94/32.96 (~v236(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27368, 27360])).
% 49.94/32.96 tff(27370,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB55) | (~v232(constB55)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB55) | (~v232(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27371,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB55) | (~v232(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27372,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB55) | (~v232(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27371, 27370])).
% 49.94/32.96 tff(27373,plain,
% 49.94/32.96 (~v232(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27372, 15255, 27369])).
% 49.94/32.96 tff(27374,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB55)) | (~v88(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB55)) | (~v88(constB55, 1)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27375,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB55)) | (~v88(constB55, 1)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27376,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB55)) | (~v88(constB55, 1))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27375, 27374])).
% 49.94/32.96 tff(27377,plain,
% 49.94/32.96 (~v140(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27376, 15142, 27292])).
% 49.94/32.96 tff(27378,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB55)) | (~v88(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB55)) | (~v88(constB55, 0)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27379,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB55)) | (~v88(constB55, 0)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27380,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB55)) | (~v88(constB55, 0))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27379, 27378])).
% 49.94/32.96 tff(27381,plain,
% 49.94/32.96 (~v139(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27380, 26437, 27296])).
% 49.94/32.96 tff(27382,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v148(constB55)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB55) | v140(constB55) | (~v148(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27383,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v148(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27384,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB55) | v140(constB55) | (~v148(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27383, 27382])).
% 49.94/32.96 tff(27385,plain,
% 49.94/32.96 (~v148(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27384, 15269, 27381, 27377])).
% 49.94/32.96 tff(27386,plain,
% 49.94/32.96 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB55) | v252(constB55) | (~v197(constB55)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB55) | v252(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27387,plain,
% 49.94/32.96 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB55) | v252(constB55) | (~v197(constB55)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27388,plain,
% 49.94/32.96 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB55) | v252(constB55) | (~v197(constB55))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27387, 27386])).
% 49.94/32.96 tff(27389,plain,
% 49.94/32.96 (v252(constB55) | (~v197(constB55))),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27388, 15283, 27385])).
% 49.94/32.96 tff(27390,plain,
% 49.94/32.96 (v252(constB55)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27389, 27319])).
% 49.94/32.96 tff(27391,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB55)) | (~v223(constB55, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB55)) | (~v223(constB55, 3)))),
% 49.94/32.96 inference(rewrite,[status(thm)],[])).
% 49.94/32.96 tff(27392,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB55)) | (~v223(constB55, 3)))),
% 49.94/32.96 inference(quant_inst,[status(thm)],[])).
% 49.94/32.96 tff(27393,plain,
% 49.94/32.96 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB55)) | (~v223(constB55, 3))),
% 49.94/32.96 inference(modus_ponens,[status(thm)],[27392, 27391])).
% 49.94/32.96 tff(27394,plain,
% 49.94/32.96 (~v223(constB55, 3)),
% 49.94/32.96 inference(unit_resolution,[status(thm)],[27393, 15298, 27390])).
% 49.94/32.96 tff(27395,plain,
% 49.94/32.96 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB55)) | v223(constB55, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB55)) | v223(constB55, 3))),
% 50.04/32.96 inference(rewrite,[status(thm)],[])).
% 50.04/32.96 tff(27396,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB55)) | v223(constB55, 3))),
% 50.04/32.96 inference(quant_inst,[status(thm)],[])).
% 50.04/32.96 tff(27397,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB55)) | v223(constB55, 3)),
% 50.04/32.96 inference(modus_ponens,[status(thm)],[27396, 27395])).
% 50.04/32.96 tff(27398,plain,
% 50.04/32.96 (~v237(constB55)),
% 50.04/32.96 inference(unit_resolution,[status(thm)],[27397, 15309, 27394])).
% 50.04/32.96 tff(27399,plain,
% 50.04/32.96 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB55) | v237(constB55) | (~v248(constB55)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB55) | v237(constB55) | (~v248(constB55)))),
% 50.04/32.96 inference(rewrite,[status(thm)],[])).
% 50.04/32.96 tff(27400,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB55) | v237(constB55) | (~v248(constB55)))),
% 50.04/32.96 inference(quant_inst,[status(thm)],[])).
% 50.04/32.96 tff(27401,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB55) | v237(constB55) | (~v248(constB55))),
% 50.04/32.96 inference(modus_ponens,[status(thm)],[27400, 27399])).
% 50.04/32.96 tff(27402,plain,
% 50.04/32.96 (v232(constB55) | (~v248(constB55))),
% 50.04/32.96 inference(unit_resolution,[status(thm)],[27401, 15323, 27398])).
% 50.04/32.96 tff(27403,plain,
% 50.04/32.96 (~v248(constB55)),
% 50.04/32.96 inference(unit_resolution,[status(thm)],[27402, 27373])).
% 50.04/32.96 tff(27404,plain,
% 50.04/32.96 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB55) | (~v244(constB55)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB55) | (~v244(constB55)))),
% 50.04/32.96 inference(rewrite,[status(thm)],[])).
% 50.04/32.96 tff(27405,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB55) | (~v244(constB55)))),
% 50.04/32.96 inference(quant_inst,[status(thm)],[])).
% 50.04/32.96 tff(27406,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB55) | (~v244(constB55))),
% 50.04/32.96 inference(modus_ponens,[status(thm)],[27405, 27404])).
% 50.04/32.96 tff(27407,plain,
% 50.04/32.96 (~v244(constB55)),
% 50.04/32.96 inference(unit_resolution,[status(thm)],[27406, 15338, 27403])).
% 50.04/32.96 tff(27408,plain,
% 50.04/32.96 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB55) | (~v216(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB55) | (~v216(constB55, 1)))),
% 50.04/32.96 inference(rewrite,[status(thm)],[])).
% 50.04/32.96 tff(27409,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB55) | (~v216(constB55, 1)))),
% 50.04/32.96 inference(quant_inst,[status(thm)],[])).
% 50.04/32.96 tff(27410,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB55) | (~v216(constB55, 1))),
% 50.04/32.96 inference(modus_ponens,[status(thm)],[27409, 27408])).
% 50.04/32.96 tff(27411,plain,
% 50.04/32.96 (~v216(constB55, 1)),
% 50.04/32.96 inference(unit_resolution,[status(thm)],[27410, 15352, 27407])).
% 50.04/32.96 tff(27412,plain,
% 50.04/32.96 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB55)) | v216(constB55, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB55)) | v216(constB55, 1))),
% 50.04/32.96 inference(rewrite,[status(thm)],[])).
% 50.04/32.96 tff(27413,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB55)) | v216(constB55, 1))),
% 50.04/32.96 inference(quant_inst,[status(thm)],[])).
% 50.04/32.96 tff(27414,plain,
% 50.04/32.96 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB55)) | v216(constB55, 1)),
% 50.04/32.96 inference(modus_ponens,[status(thm)],[27413, 27412])).
% 50.04/32.96 tff(27415,plain,
% 50.04/32.96 (~v254(constB55)),
% 50.04/32.96 inference(unit_resolution,[status(thm)],[27414, 15363, 27411])).
% 50.04/32.96 tff(27416,plain,
% 50.04/32.96 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB55) | (~v231(constB55)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB55) | (~v231(constB55)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27417,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB55) | (~v231(constB55)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27418,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB55) | (~v231(constB55))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27417, 27416])).
% 50.04/32.97 tff(27419,plain,
% 50.04/32.97 (~v231(constB55)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27418, 15391, 27398])).
% 50.04/32.97 tff(27420,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB55) | (~v221(constB55)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB55) | (~v221(constB55)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27421,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB55) | (~v221(constB55)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27422,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB55) | (~v221(constB55))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27421, 27420])).
% 50.04/32.97 tff(27423,plain,
% 50.04/32.97 (~v221(constB55)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27422, 26489, 27364])).
% 50.04/32.97 tff(27424,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB55) | v231(constB55) | (~v243(constB55)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB55) | v231(constB55) | (~v243(constB55)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27425,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB55) | v231(constB55) | (~v243(constB55)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27426,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB55) | v231(constB55) | (~v243(constB55))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27425, 27424])).
% 50.04/32.97 tff(27427,plain,
% 50.04/32.97 (~v243(constB55)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27426, 15405, 27423, 27419])).
% 50.04/32.97 tff(27428,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB55) | v255(constB55))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB55) | v255(constB55))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27429,plain,
% 50.04/32.97 ((v255(constB55) | v243(constB55)) <=> (v243(constB55) | v255(constB55))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27430,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB55) | v243(constB55))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB55) | v255(constB55)))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27429])).
% 50.04/32.97 tff(27431,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB55) | v243(constB55))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB55) | v255(constB55))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27430, 27428])).
% 50.04/32.97 tff(27432,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB55) | v243(constB55))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27433,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB55) | v255(constB55)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27432, 27431])).
% 50.04/32.97 tff(27434,plain,
% 50.04/32.97 (v255(constB55)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27433, 15416, 27427])).
% 50.04/32.97 tff(27435,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB55)) | (~v216(constB55, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB55)) | (~v216(constB55, 2)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27436,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB55)) | (~v216(constB55, 2)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27437,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB55)) | (~v216(constB55, 2))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27436, 27435])).
% 50.04/32.97 tff(27438,plain,
% 50.04/32.97 (~v216(constB55, 2)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27437, 15433, 27434])).
% 50.04/32.97 tff(27439,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB55) | v216(constB55, 2) | (~v215(constB55)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB55) | v216(constB55, 2) | (~v215(constB55)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27440,plain,
% 50.04/32.97 ((v216(constB55, 2) | v254(constB55) | (~v215(constB55))) <=> (v254(constB55) | v216(constB55, 2) | (~v215(constB55)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27441,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB55, 2) | v254(constB55) | (~v215(constB55)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB55) | v216(constB55, 2) | (~v215(constB55))))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27440])).
% 50.04/32.97 tff(27442,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB55, 2) | v254(constB55) | (~v215(constB55)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB55) | v216(constB55, 2) | (~v215(constB55)))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27441, 27439])).
% 50.04/32.97 tff(27443,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB55, 2) | v254(constB55) | (~v215(constB55)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27444,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB55) | v216(constB55, 2) | (~v215(constB55))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 50.04/32.97 tff(27445,plain,
% 50.04/32.97 (v254(constB55) | (~v215(constB55))),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27444, 15447, 27438])).
% 50.04/32.97 tff(27446,plain,
% 50.04/32.97 (~v215(constB55)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27445, 27415])).
% 50.04/32.97 tff(27447,plain,
% 50.04/32.97 ($false),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27446, 27284])).
% 50.04/32.97 tff(27448,plain,(~(constB55 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.04/32.97 tff(27449,assumption,(constB15 = sK_VarCurr), introduced(assumption)).
% 50.04/32.97 tff(27450,plain,
% 50.04/32.97 (v215(constB15) <=> v215(sK_VarCurr)),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27449])).
% 50.04/32.97 tff(27451,plain,
% 50.04/32.97 (v215(sK_VarCurr) <=> v215(constB15)),
% 50.04/32.97 inference(symmetry,[status(thm)],[27450])).
% 50.04/32.97 tff(27452,plain,
% 50.04/32.97 (v215(constB15)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[34, 27451])).
% 50.04/32.97 tff(27453,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB15, 2)) | v90(constB15, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB15, 2)) | v90(constB15, 2))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27454,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB15, 2)) | v90(constB15, 2))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27455,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB15, 2)) | v90(constB15, 2)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27454, 27453])).
% 50.04/32.97 tff(27456,plain,
% 50.04/32.97 (~v88(constB15, 2)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27455, 26020, 2146])).
% 50.04/32.97 tff(27457,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB15, 1)) | v90(constB15, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB15, 1)) | v90(constB15, 1))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27458,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB15, 1)) | v90(constB15, 1))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27459,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB15, 1)) | v90(constB15, 1)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27458, 27457])).
% 50.04/32.97 tff(27460,plain,
% 50.04/32.97 (~v88(constB15, 1)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27459, 26697, 2190])).
% 50.04/32.97 tff(27461,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB15, 0)) | v88(constB15, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB15, 0)) | v88(constB15, 0))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27462,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB15, 0)) | v88(constB15, 0))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27463,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB15, 0)) | v88(constB15, 0)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27462, 27461])).
% 50.04/32.97 tff(27464,plain,
% 50.04/32.97 (v88(constB15, 0)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27463, 26254, 2231])).
% 50.04/32.97 tff(27465,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB15, 2) | v88(constB15, 1) | (~v88(constB15, 0)) | v140(constB15))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB15, 2) | v88(constB15, 1) | (~v88(constB15, 0)) | v140(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27466,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB15, 2) | v88(constB15, 1) | (~v88(constB15, 0)) | v140(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27467,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB15, 2) | v88(constB15, 1) | (~v88(constB15, 0)) | v140(constB15)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27466, 27465])).
% 50.04/32.97 tff(27468,plain,
% 50.04/32.97 (v140(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27467, 26719, 27464, 27460, 27456])).
% 50.04/32.97 tff(27469,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB15) | (~v140(constB15)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB15) | (~v140(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27470,plain,
% 50.04/32.97 (((~v140(constB15)) | v200(constB15)) <=> (v200(constB15) | (~v140(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27471,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB15)) | v200(constB15))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB15) | (~v140(constB15))))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27470])).
% 50.04/32.97 tff(27472,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB15)) | v200(constB15))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB15) | (~v140(constB15)))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27471, 27469])).
% 50.04/32.97 tff(27473,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB15)) | v200(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27474,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB15) | (~v140(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27473, 27472])).
% 50.04/32.97 tff(27475,plain,
% 50.04/32.97 (v200(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27474, 26731, 27468])).
% 50.04/32.97 tff(27476,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB15) | (~v200(constB15)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB15) | (~v200(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27477,plain,
% 50.04/32.97 (((~v200(constB15)) | v199(constB15)) <=> (v199(constB15) | (~v200(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27478,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB15)) | v199(constB15))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB15) | (~v200(constB15))))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27477])).
% 50.04/32.97 tff(27479,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB15)) | v199(constB15))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB15) | (~v200(constB15)))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27478, 27476])).
% 50.04/32.97 tff(27480,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB15)) | v199(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27481,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB15) | (~v200(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27480, 27479])).
% 50.04/32.97 tff(27482,plain,
% 50.04/32.97 (v199(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27481, 26742, 27475])).
% 50.04/32.97 tff(27483,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB15)) | v198(constB15))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB15)) | v198(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27484,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB15)) | v198(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27485,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB15)) | v198(constB15)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27484, 27483])).
% 50.04/32.97 tff(27486,plain,
% 50.04/32.97 (v198(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27485, 26293, 27482])).
% 50.04/32.97 tff(27487,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB15)) | (~v201(constB15)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB15)) | (~v201(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27488,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB15)) | (~v201(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27489,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB15)) | (~v201(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27488, 27487])).
% 50.04/32.97 tff(27490,plain,
% 50.04/32.97 (~v201(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27489, 15064, 27486])).
% 50.04/32.97 tff(27491,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB15) | (~v198(constB15)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB15) | (~v198(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27492,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB15) | (~v198(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27493,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB15) | (~v198(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27492, 27491])).
% 50.04/32.97 tff(27494,plain,
% 50.04/32.97 (v197(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27493, 15078, 27486])).
% 50.04/32.97 tff(27495,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB15) | (~v197(constB15)) | v201(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB15) | (~v197(constB15)) | v201(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27496,plain,
% 50.04/32.97 (((~v197(constB15)) | v201(constB15) | v227(constB15)) <=> (v227(constB15) | (~v197(constB15)) | v201(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27497,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB15)) | v201(constB15) | v227(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB15) | (~v197(constB15)) | v201(constB15)))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27496])).
% 50.04/32.97 tff(27498,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB15)) | v201(constB15) | v227(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB15) | (~v197(constB15)) | v201(constB15))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27497, 27495])).
% 50.04/32.97 tff(27499,plain,
% 50.04/32.97 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB15)) | v201(constB15) | v227(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27500,plain,
% 50.04/32.97 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB15) | (~v197(constB15)) | v201(constB15)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 50.04/32.97 tff(27501,plain,
% 50.04/32.97 (v227(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27500, 15092, 27494, 27490])).
% 50.04/32.97 tff(27502,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB15)) | (~v223(constB15, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB15)) | (~v223(constB15, 0)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27503,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB15)) | (~v223(constB15, 0)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27504,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB15)) | (~v223(constB15, 0))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27503, 27502])).
% 50.04/32.97 tff(27505,plain,
% 50.04/32.97 (~v223(constB15, 0)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27504, 15109, 27501])).
% 50.04/32.97 tff(27506,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB15)) | (~v199(constB15)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB15)) | (~v199(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27507,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB15)) | (~v199(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27508,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB15)) | (~v199(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27507, 27506])).
% 50.04/32.97 tff(27509,plain,
% 50.04/32.97 (~v183(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27508, 26326, 27482])).
% 50.04/32.97 tff(27510,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB15) | (~v197(constB15)) | v183(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB15) | (~v197(constB15)) | v183(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27511,plain,
% 50.04/32.97 (((~v197(constB15)) | v183(constB15) | v228(constB15)) <=> (v228(constB15) | (~v197(constB15)) | v183(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27512,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB15)) | v183(constB15) | v228(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB15) | (~v197(constB15)) | v183(constB15)))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27511])).
% 50.04/32.97 tff(27513,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB15)) | v183(constB15) | v228(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB15) | (~v197(constB15)) | v183(constB15))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27512, 27510])).
% 50.04/32.97 tff(27514,plain,
% 50.04/32.97 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB15)) | v183(constB15) | v228(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27515,plain,
% 50.04/32.97 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB15) | (~v197(constB15)) | v183(constB15)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27514, 27513])).
% 50.04/32.97 tff(27516,plain,
% 50.04/32.97 (v228(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27515, 26340, 27494, 27509])).
% 50.04/32.97 tff(27517,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB15)) | (~v223(constB15, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB15)) | (~v223(constB15, 1)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27518,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB15)) | (~v223(constB15, 1)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27519,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB15)) | (~v223(constB15, 1))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27518, 27517])).
% 50.04/32.97 tff(27520,plain,
% 50.04/32.97 (~v223(constB15, 1)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27519, 26357, 27516])).
% 50.04/32.97 tff(27521,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB15, 1) | v223(constB15, 0) | (~v229(constB15)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB15, 1) | v223(constB15, 0) | (~v229(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27522,plain,
% 50.04/32.97 ((v223(constB15, 0) | v223(constB15, 1) | (~v229(constB15))) <=> (v223(constB15, 1) | v223(constB15, 0) | (~v229(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27523,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB15, 0) | v223(constB15, 1) | (~v229(constB15)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB15, 1) | v223(constB15, 0) | (~v229(constB15))))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27522])).
% 50.04/32.97 tff(27524,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB15, 0) | v223(constB15, 1) | (~v229(constB15)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB15, 1) | v223(constB15, 0) | (~v229(constB15)))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27523, 27521])).
% 50.04/32.97 tff(27525,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB15, 0) | v223(constB15, 1) | (~v229(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27526,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB15, 1) | v223(constB15, 0) | (~v229(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27525, 27524])).
% 50.04/32.97 tff(27527,plain,
% 50.04/32.97 (~v229(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27526, 26371, 27520, 27505])).
% 50.04/32.97 tff(27528,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB15) | (~v225(constB15)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB15) | (~v225(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27529,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB15) | (~v225(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27530,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB15) | (~v225(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27529, 27528])).
% 50.04/32.97 tff(27531,plain,
% 50.04/32.97 (~v225(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27530, 26388, 27527])).
% 50.04/32.97 tff(27532,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB15)) | (~v200(constB15)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB15)) | (~v200(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27533,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB15)) | (~v200(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27534,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB15)) | (~v200(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27533, 27532])).
% 50.04/32.97 tff(27535,plain,
% 50.04/32.97 (~v166(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27534, 26805, 27475])).
% 50.04/32.97 tff(27536,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB15) | (~v197(constB15)) | v166(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB15) | (~v197(constB15)) | v166(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27537,plain,
% 50.04/32.97 (((~v197(constB15)) | v166(constB15) | v241(constB15)) <=> (v241(constB15) | (~v197(constB15)) | v166(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27538,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB15)) | v166(constB15) | v241(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB15) | (~v197(constB15)) | v166(constB15)))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27537])).
% 50.04/32.97 tff(27539,plain,
% 50.04/32.97 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB15)) | v166(constB15) | v241(constB15))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB15) | (~v197(constB15)) | v166(constB15))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27538, 27536])).
% 50.04/32.97 tff(27540,plain,
% 50.04/32.97 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB15)) | v166(constB15) | v241(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27541,plain,
% 50.04/32.97 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB15) | (~v197(constB15)) | v166(constB15)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27540, 27539])).
% 50.04/32.97 tff(27542,plain,
% 50.04/32.97 (v241(constB15) | (~v197(constB15))),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27541, 15198, 27535])).
% 50.04/32.97 tff(27543,plain,
% 50.04/32.97 (v241(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27542, 27494])).
% 50.04/32.97 tff(27544,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB15)) | (~v223(constB15, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB15)) | (~v223(constB15, 2)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27545,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB15)) | (~v223(constB15, 2)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27546,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB15)) | (~v223(constB15, 2))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 50.04/32.97 tff(27547,plain,
% 50.04/32.97 (~v223(constB15, 2)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27546, 15216, 27543])).
% 50.04/32.97 tff(27548,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB15) | v223(constB15, 2) | (~v242(constB15)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB15) | v223(constB15, 2) | (~v242(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27549,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB15) | v223(constB15, 2) | (~v242(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27550,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB15) | v223(constB15, 2) | (~v242(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27549, 27548])).
% 50.04/32.97 tff(27551,plain,
% 50.04/32.97 (v225(constB15) | (~v242(constB15))),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27550, 26831, 27547])).
% 50.04/32.97 tff(27552,plain,
% 50.04/32.97 (~v242(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27551, 27531])).
% 50.04/32.97 tff(27553,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB15) | (~v238(constB15)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB15) | (~v238(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27554,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB15) | (~v238(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27555,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB15) | (~v238(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27554, 27553])).
% 50.04/32.97 tff(27556,plain,
% 50.04/32.97 (~v238(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27555, 26846, 27552])).
% 50.04/32.97 tff(27557,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB15) | (~v237(constB15)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB15) | (~v237(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27558,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB15) | (~v237(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27559,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB15) | (~v237(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27558, 27557])).
% 50.04/32.97 tff(27560,plain,
% 50.04/32.97 (~v237(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27559, 26860, 27556])).
% 50.04/32.97 tff(27561,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB15)) | v223(constB15, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB15)) | v223(constB15, 2))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27562,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB15)) | v223(constB15, 2))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27563,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB15)) | v223(constB15, 2)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27562, 27561])).
% 50.04/32.97 tff(27564,plain,
% 50.04/32.97 (~v224(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27563, 15227, 27547])).
% 50.04/32.97 tff(27565,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB15)) | v223(constB15, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB15)) | v223(constB15, 1))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27566,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB15)) | v223(constB15, 1))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27567,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB15)) | v223(constB15, 1)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 50.04/32.97 tff(27568,plain,
% 50.04/32.97 (~v222(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27567, 26413, 27520])).
% 50.04/32.97 tff(27569,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB15) | v224(constB15) | (~v236(constB15)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB15) | v224(constB15) | (~v236(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27570,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB15) | v224(constB15) | (~v236(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27571,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB15) | v224(constB15) | (~v236(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 50.04/32.97 tff(27572,plain,
% 50.04/32.97 (~v236(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27571, 15241, 27568, 27564])).
% 50.04/32.97 tff(27573,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB15) | (~v232(constB15)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB15) | (~v232(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27574,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB15) | (~v232(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27575,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB15) | (~v232(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27574, 27573])).
% 50.04/32.97 tff(27576,plain,
% 50.04/32.97 (~v232(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27575, 15255, 27572])).
% 50.04/32.97 tff(27577,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB15) | v237(constB15) | (~v248(constB15)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB15) | v237(constB15) | (~v248(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27578,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB15) | v237(constB15) | (~v248(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27579,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB15) | v237(constB15) | (~v248(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27578, 27577])).
% 50.04/32.97 tff(27580,plain,
% 50.04/32.97 (v237(constB15) | (~v248(constB15))),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27579, 15323, 27576])).
% 50.04/32.97 tff(27581,plain,
% 50.04/32.97 (~v248(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27580, 27560])).
% 50.04/32.97 tff(27582,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB15) | (~v244(constB15)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB15) | (~v244(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27583,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB15) | (~v244(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27584,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB15) | (~v244(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27583, 27582])).
% 50.04/32.97 tff(27585,plain,
% 50.04/32.97 (~v244(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27584, 15338, 27581])).
% 50.04/32.97 tff(27586,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB15) | (~v216(constB15, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB15) | (~v216(constB15, 1)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27587,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB15) | (~v216(constB15, 1)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27588,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB15) | (~v216(constB15, 1))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27587, 27586])).
% 50.04/32.97 tff(27589,plain,
% 50.04/32.97 (~v216(constB15, 1)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27588, 15352, 27585])).
% 50.04/32.97 tff(27590,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB15)) | v216(constB15, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB15)) | v216(constB15, 1))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27591,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB15)) | v216(constB15, 1))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27592,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB15)) | v216(constB15, 1)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27591, 27590])).
% 50.04/32.97 tff(27593,plain,
% 50.04/32.97 (~v254(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27592, 15363, 27589])).
% 50.04/32.97 tff(27594,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB15) | (~v231(constB15)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB15) | (~v231(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27595,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB15) | (~v231(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27596,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB15) | (~v231(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27595, 27594])).
% 50.04/32.97 tff(27597,plain,
% 50.04/32.97 (~v231(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27596, 26907, 27576])).
% 50.04/32.97 tff(27598,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB15) | (~v221(constB15)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB15) | (~v221(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27599,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB15) | (~v221(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27600,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB15) | (~v221(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27599, 27598])).
% 50.04/32.97 tff(27601,plain,
% 50.04/32.97 (~v221(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27600, 26489, 27568])).
% 50.04/32.97 tff(27602,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB15) | v231(constB15) | (~v243(constB15)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB15) | v231(constB15) | (~v243(constB15)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27603,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB15) | v231(constB15) | (~v243(constB15)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27604,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB15) | v231(constB15) | (~v243(constB15))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27603, 27602])).
% 50.04/32.97 tff(27605,plain,
% 50.04/32.97 (v231(constB15) | (~v243(constB15))),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27604, 15405, 27601])).
% 50.04/32.97 tff(27606,plain,
% 50.04/32.97 (~v243(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27605, 27597])).
% 50.04/32.97 tff(27607,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB15) | v255(constB15))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB15) | v255(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27608,plain,
% 50.04/32.97 ((v255(constB15) | v243(constB15)) <=> (v243(constB15) | v255(constB15))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27609,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB15) | v243(constB15))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB15) | v255(constB15)))),
% 50.04/32.97 inference(monotonicity,[status(thm)],[27608])).
% 50.04/32.97 tff(27610,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB15) | v243(constB15))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB15) | v255(constB15))),
% 50.04/32.97 inference(transitivity,[status(thm)],[27609, 27607])).
% 50.04/32.97 tff(27611,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB15) | v243(constB15))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27612,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB15) | v255(constB15)),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27611, 27610])).
% 50.04/32.97 tff(27613,plain,
% 50.04/32.97 (v255(constB15)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27612, 15416, 27606])).
% 50.04/32.97 tff(27614,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB15)) | (~v216(constB15, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB15)) | (~v216(constB15, 2)))),
% 50.04/32.97 inference(rewrite,[status(thm)],[])).
% 50.04/32.97 tff(27615,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB15)) | (~v216(constB15, 2)))),
% 50.04/32.97 inference(quant_inst,[status(thm)],[])).
% 50.04/32.97 tff(27616,plain,
% 50.04/32.97 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB15)) | (~v216(constB15, 2))),
% 50.04/32.97 inference(modus_ponens,[status(thm)],[27615, 27614])).
% 50.04/32.97 tff(27617,plain,
% 50.04/32.97 (~v216(constB15, 2)),
% 50.04/32.97 inference(unit_resolution,[status(thm)],[27616, 15433, 27613])).
% 50.04/32.97 tff(27618,plain,
% 50.04/32.97 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB15)) | v254(constB15) | v216(constB15, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v254(constB15) | v216(constB15, 2))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27619,plain,
% 50.04/32.98 ((v216(constB15, 2) | v254(constB15) | (~v215(constB15))) <=> ((~v215(constB15)) | v254(constB15) | v216(constB15, 2))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27620,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB15, 2) | v254(constB15) | (~v215(constB15)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB15)) | v254(constB15) | v216(constB15, 2)))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27619])).
% 50.04/32.98 tff(27621,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB15, 2) | v254(constB15) | (~v215(constB15)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v254(constB15) | v216(constB15, 2))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27620, 27618])).
% 50.04/32.98 tff(27622,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB15, 2) | v254(constB15) | (~v215(constB15)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27623,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v254(constB15) | v216(constB15, 2)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27622, 27621])).
% 50.04/32.98 tff(27624,plain,
% 50.04/32.98 ((~v215(constB15)) | v254(constB15)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27623, 15447, 27617])).
% 50.04/32.98 tff(27625,plain,
% 50.04/32.98 (~v215(constB15)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27624, 27593])).
% 50.04/32.98 tff(27626,plain,
% 50.04/32.98 ($false),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27625, 27452])).
% 50.04/32.98 tff(27627,plain,(~(constB15 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.04/32.98 tff(27628,assumption,(constB183 = sK_VarCurr), introduced(assumption)).
% 50.04/32.98 tff(27629,plain,
% 50.04/32.98 (v215(constB183) <=> v215(sK_VarCurr)),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27628])).
% 50.04/32.98 tff(27630,plain,
% 50.04/32.98 (v215(sK_VarCurr) <=> v215(constB183)),
% 50.04/32.98 inference(symmetry,[status(thm)],[27629])).
% 50.04/32.98 tff(27631,plain,
% 50.04/32.98 (v215(constB183)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[34, 27630])).
% 50.04/32.98 tff(27632,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB183, 2)) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB183, 2)) | v90(constB183, 2))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27633,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB183, 2)) | v90(constB183, 2))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27634,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB183, 2)) | v90(constB183, 2)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27633, 27632])).
% 50.04/32.98 tff(27635,plain,
% 50.04/32.98 (~v88(constB183, 2)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27634, 26020, 22770])).
% 50.04/32.98 tff(27636,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB183, 1)) | v90(constB183, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB183, 1)) | v90(constB183, 1))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27637,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB183, 1)) | v90(constB183, 1))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27638,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB183, 1)) | v90(constB183, 1)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 50.04/32.98 tff(27639,plain,
% 50.04/32.98 (~v88(constB183, 1)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27638, 26697, 22771])).
% 50.04/32.98 tff(27640,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB183, 0)) | v88(constB183, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB183, 0)) | v88(constB183, 0))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27641,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB183, 0)) | v88(constB183, 0))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27642,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB183, 0)) | v88(constB183, 0)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 50.04/32.98 tff(27643,plain,
% 50.04/32.98 (v88(constB183, 0)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27642, 26254, 22772])).
% 50.04/32.98 tff(27644,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB183, 1) | v88(constB183, 2) | (~v88(constB183, 0)) | v140(constB183))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB183, 1) | v88(constB183, 2) | (~v88(constB183, 0)) | v140(constB183))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27645,plain,
% 50.04/32.98 ((v88(constB183, 2) | v88(constB183, 1) | (~v88(constB183, 0)) | v140(constB183)) <=> (v88(constB183, 1) | v88(constB183, 2) | (~v88(constB183, 0)) | v140(constB183))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27646,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB183, 2) | v88(constB183, 1) | (~v88(constB183, 0)) | v140(constB183))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB183, 1) | v88(constB183, 2) | (~v88(constB183, 0)) | v140(constB183)))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27645])).
% 50.04/32.98 tff(27647,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB183, 2) | v88(constB183, 1) | (~v88(constB183, 0)) | v140(constB183))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB183, 1) | v88(constB183, 2) | (~v88(constB183, 0)) | v140(constB183))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27646, 27644])).
% 50.04/32.98 tff(27648,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB183, 2) | v88(constB183, 1) | (~v88(constB183, 0)) | v140(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27649,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB183, 1) | v88(constB183, 2) | (~v88(constB183, 0)) | v140(constB183)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27648, 27647])).
% 50.04/32.98 tff(27650,plain,
% 50.04/32.98 (v140(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27649, 26719, 27643, 27639, 27635])).
% 50.04/32.98 tff(27651,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB183) | (~v140(constB183)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB183) | (~v140(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27652,plain,
% 50.04/32.98 (((~v140(constB183)) | v200(constB183)) <=> (v200(constB183) | (~v140(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27653,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB183)) | v200(constB183))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB183) | (~v140(constB183))))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27652])).
% 50.04/32.98 tff(27654,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB183)) | v200(constB183))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB183) | (~v140(constB183)))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27653, 27651])).
% 50.04/32.98 tff(27655,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB183)) | v200(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27656,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB183) | (~v140(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 50.04/32.98 tff(27657,plain,
% 50.04/32.98 (v200(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27656, 26731, 27650])).
% 50.04/32.98 tff(27658,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB183) | (~v200(constB183)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB183) | (~v200(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27659,plain,
% 50.04/32.98 (((~v200(constB183)) | v199(constB183)) <=> (v199(constB183) | (~v200(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27660,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB183)) | v199(constB183))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB183) | (~v200(constB183))))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27659])).
% 50.04/32.98 tff(27661,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB183)) | v199(constB183))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB183) | (~v200(constB183)))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27660, 27658])).
% 50.04/32.98 tff(27662,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB183)) | v199(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27663,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB183) | (~v200(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27662, 27661])).
% 50.04/32.98 tff(27664,plain,
% 50.04/32.98 (v199(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27663, 26742, 27657])).
% 50.04/32.98 tff(27665,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB183)) | v198(constB183))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB183)) | v198(constB183))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27666,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB183)) | v198(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27667,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB183)) | v198(constB183)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27666, 27665])).
% 50.04/32.98 tff(27668,plain,
% 50.04/32.98 (v198(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27667, 26293, 27664])).
% 50.04/32.98 tff(27669,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB183)) | (~v201(constB183)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB183)) | (~v201(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27670,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB183)) | (~v201(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27671,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB183)) | (~v201(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27670, 27669])).
% 50.04/32.98 tff(27672,plain,
% 50.04/32.98 (~v201(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27671, 15064, 27668])).
% 50.04/32.98 tff(27673,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB183) | (~v198(constB183)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB183) | (~v198(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27674,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB183) | (~v198(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27675,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB183) | (~v198(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27674, 27673])).
% 50.04/32.98 tff(27676,plain,
% 50.04/32.98 (v197(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27675, 15078, 27668])).
% 50.04/32.98 tff(27677,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB183) | (~v197(constB183)) | v201(constB183))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB183) | (~v197(constB183)) | v201(constB183))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27678,plain,
% 50.04/32.98 (((~v197(constB183)) | v201(constB183) | v227(constB183)) <=> (v227(constB183) | (~v197(constB183)) | v201(constB183))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27679,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB183)) | v201(constB183) | v227(constB183))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB183) | (~v197(constB183)) | v201(constB183)))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27678])).
% 50.04/32.98 tff(27680,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB183)) | v201(constB183) | v227(constB183))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB183) | (~v197(constB183)) | v201(constB183))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27679, 27677])).
% 50.04/32.98 tff(27681,plain,
% 50.04/32.98 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB183)) | v201(constB183) | v227(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27682,plain,
% 50.04/32.98 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB183) | (~v197(constB183)) | v201(constB183)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27681, 27680])).
% 50.04/32.98 tff(27683,plain,
% 50.04/32.98 (v227(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27682, 15092, 27676, 27672])).
% 50.04/32.98 tff(27684,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB183)) | (~v223(constB183, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB183)) | (~v223(constB183, 0)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27685,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB183)) | (~v223(constB183, 0)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27686,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB183)) | (~v223(constB183, 0))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27685, 27684])).
% 50.04/32.98 tff(27687,plain,
% 50.04/32.98 (~v223(constB183, 0)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27686, 15109, 27683])).
% 50.04/32.98 tff(27688,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB183)) | (~v199(constB183)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB183)) | (~v199(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27689,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB183)) | (~v199(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27690,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB183)) | (~v199(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27689, 27688])).
% 50.04/32.98 tff(27691,plain,
% 50.04/32.98 (~v183(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27690, 26326, 27664])).
% 50.04/32.98 tff(27692,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB183) | v183(constB183) | (~v197(constB183)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB183) | v183(constB183) | (~v197(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27693,plain,
% 50.04/32.98 (((~v197(constB183)) | v183(constB183) | v228(constB183)) <=> (v228(constB183) | v183(constB183) | (~v197(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27694,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB183)) | v183(constB183) | v228(constB183))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB183) | v183(constB183) | (~v197(constB183))))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27693])).
% 50.04/32.98 tff(27695,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB183)) | v183(constB183) | v228(constB183))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB183) | v183(constB183) | (~v197(constB183)))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27694, 27692])).
% 50.04/32.98 tff(27696,plain,
% 50.04/32.98 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB183)) | v183(constB183) | v228(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27697,plain,
% 50.04/32.98 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB183) | v183(constB183) | (~v197(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27696, 27695])).
% 50.04/32.98 tff(27698,plain,
% 50.04/32.98 (v228(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27697, 26340, 27676, 27691])).
% 50.04/32.98 tff(27699,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB183)) | (~v223(constB183, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB183)) | (~v223(constB183, 1)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27700,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB183)) | (~v223(constB183, 1)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27701,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB183)) | (~v223(constB183, 1))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 50.04/32.98 tff(27702,plain,
% 50.04/32.98 (~v223(constB183, 1)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27701, 26357, 27698])).
% 50.04/32.98 tff(27703,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB183, 1) | v223(constB183, 0) | (~v229(constB183)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB183, 1) | v223(constB183, 0) | (~v229(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27704,plain,
% 50.04/32.98 ((v223(constB183, 0) | v223(constB183, 1) | (~v229(constB183))) <=> (v223(constB183, 1) | v223(constB183, 0) | (~v229(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27705,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB183, 0) | v223(constB183, 1) | (~v229(constB183)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB183, 1) | v223(constB183, 0) | (~v229(constB183))))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27704])).
% 50.04/32.98 tff(27706,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB183, 0) | v223(constB183, 1) | (~v229(constB183)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB183, 1) | v223(constB183, 0) | (~v229(constB183)))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27705, 27703])).
% 50.04/32.98 tff(27707,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB183, 0) | v223(constB183, 1) | (~v229(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27708,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB183, 1) | v223(constB183, 0) | (~v229(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27707, 27706])).
% 50.04/32.98 tff(27709,plain,
% 50.04/32.98 (~v229(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27708, 26371, 27702, 27687])).
% 50.04/32.98 tff(27710,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB183) | (~v225(constB183)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB183) | (~v225(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27711,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB183) | (~v225(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27712,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB183) | (~v225(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27711, 27710])).
% 50.04/32.98 tff(27713,plain,
% 50.04/32.98 (~v225(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27712, 26388, 27709])).
% 50.04/32.98 tff(27714,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB183)) | (~v200(constB183)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB183)) | (~v200(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27715,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB183)) | (~v200(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27716,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB183)) | (~v200(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27715, 27714])).
% 50.04/32.98 tff(27717,plain,
% 50.04/32.98 (~v166(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27716, 26805, 27657])).
% 50.04/32.98 tff(27718,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB183) | v166(constB183) | (~v197(constB183)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB183) | v166(constB183) | (~v197(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27719,plain,
% 50.04/32.98 (((~v197(constB183)) | v166(constB183) | v241(constB183)) <=> (v241(constB183) | v166(constB183) | (~v197(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27720,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB183)) | v166(constB183) | v241(constB183))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB183) | v166(constB183) | (~v197(constB183))))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27719])).
% 50.04/32.98 tff(27721,plain,
% 50.04/32.98 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB183)) | v166(constB183) | v241(constB183))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB183) | v166(constB183) | (~v197(constB183)))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27720, 27718])).
% 50.04/32.98 tff(27722,plain,
% 50.04/32.98 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB183)) | v166(constB183) | v241(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27723,plain,
% 50.04/32.98 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB183) | v166(constB183) | (~v197(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27722, 27721])).
% 50.04/32.98 tff(27724,plain,
% 50.04/32.98 (v241(constB183) | (~v197(constB183))),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27723, 15198, 27717])).
% 50.04/32.98 tff(27725,plain,
% 50.04/32.98 (v241(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27724, 27676])).
% 50.04/32.98 tff(27726,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB183)) | (~v223(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB183)) | (~v223(constB183, 2)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27727,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB183)) | (~v223(constB183, 2)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27728,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB183)) | (~v223(constB183, 2))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27727, 27726])).
% 50.04/32.98 tff(27729,plain,
% 50.04/32.98 (~v223(constB183, 2)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27728, 15216, 27725])).
% 50.04/32.98 tff(27730,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB183, 2) | v225(constB183) | (~v242(constB183)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB183, 2) | v225(constB183) | (~v242(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27731,plain,
% 50.04/32.98 ((v225(constB183) | v223(constB183, 2) | (~v242(constB183))) <=> (v223(constB183, 2) | v225(constB183) | (~v242(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27732,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB183) | v223(constB183, 2) | (~v242(constB183)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB183, 2) | v225(constB183) | (~v242(constB183))))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27731])).
% 50.04/32.98 tff(27733,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB183) | v223(constB183, 2) | (~v242(constB183)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB183, 2) | v225(constB183) | (~v242(constB183)))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27732, 27730])).
% 50.04/32.98 tff(27734,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB183) | v223(constB183, 2) | (~v242(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27735,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB183, 2) | v225(constB183) | (~v242(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27734, 27733])).
% 50.04/32.98 tff(27736,plain,
% 50.04/32.98 (v225(constB183) | (~v242(constB183))),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27735, 26831, 27729])).
% 50.04/32.98 tff(27737,plain,
% 50.04/32.98 (~v242(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27736, 27713])).
% 50.04/32.98 tff(27738,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB183) | (~v238(constB183)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB183) | (~v238(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27739,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB183) | (~v238(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27740,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB183) | (~v238(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27739, 27738])).
% 50.04/32.98 tff(27741,plain,
% 50.04/32.98 (~v238(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27740, 26846, 27737])).
% 50.04/32.98 tff(27742,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB183) | (~v237(constB183)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB183) | (~v237(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27743,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB183) | (~v237(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27744,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB183) | (~v237(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27743, 27742])).
% 50.04/32.98 tff(27745,plain,
% 50.04/32.98 (~v237(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27744, 26860, 27741])).
% 50.04/32.98 tff(27746,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB183)) | v223(constB183, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB183)) | v223(constB183, 2))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27747,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB183)) | v223(constB183, 2))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27748,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB183)) | v223(constB183, 2)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27747, 27746])).
% 50.04/32.98 tff(27749,plain,
% 50.04/32.98 (~v224(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27748, 15227, 27729])).
% 50.04/32.98 tff(27750,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB183)) | v223(constB183, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB183)) | v223(constB183, 1))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27751,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB183)) | v223(constB183, 1))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27752,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB183)) | v223(constB183, 1)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 50.04/32.98 tff(27753,plain,
% 50.04/32.98 (~v222(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27752, 26413, 27702])).
% 50.04/32.98 tff(27754,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB183) | v224(constB183) | (~v236(constB183)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB183) | v224(constB183) | (~v236(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27755,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB183) | v224(constB183) | (~v236(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27756,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB183) | v224(constB183) | (~v236(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 50.04/32.98 tff(27757,plain,
% 50.04/32.98 (~v236(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27756, 15241, 27753, 27749])).
% 50.04/32.98 tff(27758,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB183) | (~v232(constB183)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB183) | (~v232(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27759,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB183) | (~v232(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27760,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB183) | (~v232(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27759, 27758])).
% 50.04/32.98 tff(27761,plain,
% 50.04/32.98 (~v232(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27760, 15255, 27757])).
% 50.04/32.98 tff(27762,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB183) | v237(constB183) | (~v248(constB183)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB183) | v237(constB183) | (~v248(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27763,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB183) | v237(constB183) | (~v248(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27764,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB183) | v237(constB183) | (~v248(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27763, 27762])).
% 50.04/32.98 tff(27765,plain,
% 50.04/32.98 (v237(constB183) | (~v248(constB183))),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27764, 15323, 27761])).
% 50.04/32.98 tff(27766,plain,
% 50.04/32.98 (~v248(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27765, 27745])).
% 50.04/32.98 tff(27767,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB183) | (~v244(constB183)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB183) | (~v244(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27768,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB183) | (~v244(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27769,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB183) | (~v244(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27768, 27767])).
% 50.04/32.98 tff(27770,plain,
% 50.04/32.98 (~v244(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27769, 15338, 27766])).
% 50.04/32.98 tff(27771,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB183) | (~v216(constB183, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB183) | (~v216(constB183, 1)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27772,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB183) | (~v216(constB183, 1)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27773,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB183) | (~v216(constB183, 1))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27772, 27771])).
% 50.04/32.98 tff(27774,plain,
% 50.04/32.98 (~v216(constB183, 1)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27773, 15352, 27770])).
% 50.04/32.98 tff(27775,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB183)) | v216(constB183, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB183)) | v216(constB183, 1))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27776,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB183)) | v216(constB183, 1))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27777,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB183)) | v216(constB183, 1)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27776, 27775])).
% 50.04/32.98 tff(27778,plain,
% 50.04/32.98 (~v254(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27777, 15363, 27774])).
% 50.04/32.98 tff(27779,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB183) | (~v231(constB183)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB183) | (~v231(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27780,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB183) | (~v231(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27781,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB183) | (~v231(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 50.04/32.98 tff(27782,plain,
% 50.04/32.98 (~v231(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27781, 26907, 27761])).
% 50.04/32.98 tff(27783,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB183) | (~v221(constB183)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB183) | (~v221(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27784,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB183) | (~v221(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27785,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB183) | (~v221(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 50.04/32.98 tff(27786,plain,
% 50.04/32.98 (~v221(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27785, 26489, 27753])).
% 50.04/32.98 tff(27787,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB183) | v231(constB183) | (~v243(constB183)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB183) | v231(constB183) | (~v243(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27788,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB183) | v231(constB183) | (~v243(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27789,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB183) | v231(constB183) | (~v243(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27788, 27787])).
% 50.04/32.98 tff(27790,plain,
% 50.04/32.98 (v231(constB183) | (~v243(constB183))),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27789, 15405, 27786])).
% 50.04/32.98 tff(27791,plain,
% 50.04/32.98 (~v243(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27790, 27782])).
% 50.04/32.98 tff(27792,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB183) | v255(constB183))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB183) | v255(constB183))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27793,plain,
% 50.04/32.98 ((v255(constB183) | v243(constB183)) <=> (v243(constB183) | v255(constB183))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27794,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB183) | v243(constB183))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB183) | v255(constB183)))),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27793])).
% 50.04/32.98 tff(27795,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB183) | v243(constB183))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB183) | v255(constB183))),
% 50.04/32.98 inference(transitivity,[status(thm)],[27794, 27792])).
% 50.04/32.98 tff(27796,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB183) | v243(constB183))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27797,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB183) | v255(constB183)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27796, 27795])).
% 50.04/32.98 tff(27798,plain,
% 50.04/32.98 (v255(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27797, 15416, 27791])).
% 50.04/32.98 tff(27799,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB183)) | (~v216(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB183)) | (~v216(constB183, 2)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27800,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB183)) | (~v216(constB183, 2)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27801,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB183)) | (~v216(constB183, 2))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27800, 27799])).
% 50.04/32.98 tff(27802,plain,
% 50.04/32.98 (~v216(constB183, 2)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27801, 15433, 27798])).
% 50.04/32.98 tff(27803,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB183, 2) | v254(constB183) | (~v215(constB183)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB183, 2) | v254(constB183) | (~v215(constB183)))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27804,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB183, 2) | v254(constB183) | (~v215(constB183)))),
% 50.04/32.98 inference(quant_inst,[status(thm)],[])).
% 50.04/32.98 tff(27805,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB183, 2) | v254(constB183) | (~v215(constB183))),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[27804, 27803])).
% 50.04/32.98 tff(27806,plain,
% 50.04/32.98 (v254(constB183) | (~v215(constB183))),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27805, 15447, 27802])).
% 50.04/32.98 tff(27807,plain,
% 50.04/32.98 (~v215(constB183)),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27806, 27778])).
% 50.04/32.98 tff(27808,plain,
% 50.04/32.98 ($false),
% 50.04/32.98 inference(unit_resolution,[status(thm)],[27807, 27631])).
% 50.04/32.98 tff(27809,plain,(~(constB183 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.04/32.98 tff(27810,assumption,(constB39 = sK_VarCurr), introduced(assumption)).
% 50.04/32.98 tff(27811,plain,
% 50.04/32.98 (v215(constB39) <=> v215(sK_VarCurr)),
% 50.04/32.98 inference(monotonicity,[status(thm)],[27810])).
% 50.04/32.98 tff(27812,plain,
% 50.04/32.98 (v215(sK_VarCurr) <=> v215(constB39)),
% 50.04/32.98 inference(symmetry,[status(thm)],[27811])).
% 50.04/32.98 tff(27813,plain,
% 50.04/32.98 (v215(constB39)),
% 50.04/32.98 inference(modus_ponens,[status(thm)],[34, 27812])).
% 50.04/32.98 tff(27814,plain,
% 50.04/32.98 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB39, 2)) | v90(constB39, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB39, 2)) | v90(constB39, 2))),
% 50.04/32.98 inference(rewrite,[status(thm)],[])).
% 50.04/32.98 tff(27815,plain,
% 50.04/32.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB39, 2)) | v90(constB39, 2))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27816,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB39, 2)) | v90(constB39, 2)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27815, 27814])).
% 50.04/32.99 tff(27817,plain,
% 50.04/32.99 (~v88(constB39, 2)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27816, 26020, 5206])).
% 50.04/32.99 tff(27818,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB39, 1)) | v90(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB39, 1)) | v90(constB39, 1))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27819,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB39, 1)) | v90(constB39, 1))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27820,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB39, 1)) | v90(constB39, 1)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27819, 27818])).
% 50.04/32.99 tff(27821,plain,
% 50.04/32.99 (~v88(constB39, 1)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27820, 26697, 5240])).
% 50.04/32.99 tff(27822,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB39, 0)) | v88(constB39, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB39, 0)) | v88(constB39, 0))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27823,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB39, 0)) | v88(constB39, 0))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27824,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB39, 0)) | v88(constB39, 0)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27823, 27822])).
% 50.04/32.99 tff(27825,plain,
% 50.04/32.99 (v88(constB39, 0)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27824, 26254, 5271])).
% 50.04/32.99 tff(27826,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)) | v140(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)) | v140(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27827,plain,
% 50.04/32.99 ((v88(constB39, 2) | v88(constB39, 1) | (~v88(constB39, 0)) | v140(constB39)) <=> (v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)) | v140(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27828,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB39, 2) | v88(constB39, 1) | (~v88(constB39, 0)) | v140(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)) | v140(constB39)))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27827])).
% 50.04/32.99 tff(27829,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB39, 2) | v88(constB39, 1) | (~v88(constB39, 0)) | v140(constB39))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)) | v140(constB39))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27828, 27826])).
% 50.04/32.99 tff(27830,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB39, 2) | v88(constB39, 1) | (~v88(constB39, 0)) | v140(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27831,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB39, 1) | v88(constB39, 2) | (~v88(constB39, 0)) | v140(constB39)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27830, 27829])).
% 50.04/32.99 tff(27832,plain,
% 50.04/32.99 (v140(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27831, 26719, 27825, 27821, 27817])).
% 50.04/32.99 tff(27833,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB39) | (~v140(constB39)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB39) | (~v140(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27834,plain,
% 50.04/32.99 (((~v140(constB39)) | v200(constB39)) <=> (v200(constB39) | (~v140(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27835,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB39)) | v200(constB39))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB39) | (~v140(constB39))))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27834])).
% 50.04/32.99 tff(27836,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB39)) | v200(constB39))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB39) | (~v140(constB39)))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27835, 27833])).
% 50.04/32.99 tff(27837,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB39)) | v200(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27838,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB39) | (~v140(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27837, 27836])).
% 50.04/32.99 tff(27839,plain,
% 50.04/32.99 (v200(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27838, 26731, 27832])).
% 50.04/32.99 tff(27840,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB39) | (~v200(constB39)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB39) | (~v200(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27841,plain,
% 50.04/32.99 (((~v200(constB39)) | v199(constB39)) <=> (v199(constB39) | (~v200(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27842,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB39)) | v199(constB39))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB39) | (~v200(constB39))))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27841])).
% 50.04/32.99 tff(27843,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB39)) | v199(constB39))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB39) | (~v200(constB39)))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27842, 27840])).
% 50.04/32.99 tff(27844,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB39)) | v199(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27845,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB39) | (~v200(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 50.04/32.99 tff(27846,plain,
% 50.04/32.99 (v199(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27845, 26742, 27839])).
% 50.04/32.99 tff(27847,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB39)) | v198(constB39))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB39)) | v198(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27848,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB39)) | v198(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27849,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB39)) | v198(constB39)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27848, 27847])).
% 50.04/32.99 tff(27850,plain,
% 50.04/32.99 (v198(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27849, 26293, 27846])).
% 50.04/32.99 tff(27851,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB39)) | (~v201(constB39)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB39)) | (~v201(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27852,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB39)) | (~v201(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27853,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB39)) | (~v201(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27852, 27851])).
% 50.04/32.99 tff(27854,plain,
% 50.04/32.99 (~v201(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27853, 15064, 27850])).
% 50.04/32.99 tff(27855,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB39) | (~v198(constB39)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB39) | (~v198(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27856,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB39) | (~v198(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27857,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB39) | (~v198(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27856, 27855])).
% 50.04/32.99 tff(27858,plain,
% 50.04/32.99 (v197(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27857, 15078, 27850])).
% 50.04/32.99 tff(27859,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB39) | v201(constB39) | (~v197(constB39)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB39) | v201(constB39) | (~v197(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27860,plain,
% 50.04/32.99 (((~v197(constB39)) | v201(constB39) | v227(constB39)) <=> (v227(constB39) | v201(constB39) | (~v197(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27861,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB39)) | v201(constB39) | v227(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB39) | v201(constB39) | (~v197(constB39))))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27860])).
% 50.04/32.99 tff(27862,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB39)) | v201(constB39) | v227(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB39) | v201(constB39) | (~v197(constB39)))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27861, 27859])).
% 50.04/32.99 tff(27863,plain,
% 50.04/32.99 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB39)) | v201(constB39) | v227(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27864,plain,
% 50.04/32.99 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB39) | v201(constB39) | (~v197(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27863, 27862])).
% 50.04/32.99 tff(27865,plain,
% 50.04/32.99 (v227(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27864, 15092, 27858, 27854])).
% 50.04/32.99 tff(27866,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB39)) | (~v223(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB39)) | (~v223(constB39, 0)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27867,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB39)) | (~v223(constB39, 0)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27868,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB39)) | (~v223(constB39, 0))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27867, 27866])).
% 50.04/32.99 tff(27869,plain,
% 50.04/32.99 (~v223(constB39, 0)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27868, 15109, 27865])).
% 50.04/32.99 tff(27870,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB39)) | (~v199(constB39)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB39)) | (~v199(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27871,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB39)) | (~v199(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27872,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB39)) | (~v199(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27871, 27870])).
% 50.04/32.99 tff(27873,plain,
% 50.04/32.99 (~v183(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27872, 26326, 27846])).
% 50.04/32.99 tff(27874,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB39) | (~v197(constB39)) | v183(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB39) | (~v197(constB39)) | v183(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27875,plain,
% 50.04/32.99 (((~v197(constB39)) | v183(constB39) | v228(constB39)) <=> (v228(constB39) | (~v197(constB39)) | v183(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27876,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB39)) | v183(constB39) | v228(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB39) | (~v197(constB39)) | v183(constB39)))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27875])).
% 50.04/32.99 tff(27877,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB39)) | v183(constB39) | v228(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB39) | (~v197(constB39)) | v183(constB39))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27876, 27874])).
% 50.04/32.99 tff(27878,plain,
% 50.04/32.99 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB39)) | v183(constB39) | v228(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27879,plain,
% 50.04/32.99 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB39) | (~v197(constB39)) | v183(constB39)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27878, 27877])).
% 50.04/32.99 tff(27880,plain,
% 50.04/32.99 (v228(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27879, 26340, 27858, 27873])).
% 50.04/32.99 tff(27881,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB39)) | (~v223(constB39, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB39)) | (~v223(constB39, 1)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27882,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB39)) | (~v223(constB39, 1)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27883,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB39)) | (~v223(constB39, 1))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27882, 27881])).
% 50.04/32.99 tff(27884,plain,
% 50.04/32.99 (~v223(constB39, 1)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27883, 26357, 27880])).
% 50.04/32.99 tff(27885,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB39, 0) | v223(constB39, 1) | (~v229(constB39)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB39, 0) | v223(constB39, 1) | (~v229(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27886,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB39, 0) | v223(constB39, 1) | (~v229(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27887,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB39, 0) | v223(constB39, 1) | (~v229(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27886, 27885])).
% 50.04/32.99 tff(27888,plain,
% 50.04/32.99 (~v229(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27887, 26371, 27884, 27869])).
% 50.04/32.99 tff(27889,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB39) | (~v225(constB39)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB39) | (~v225(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27890,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB39) | (~v225(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27891,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB39) | (~v225(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27890, 27889])).
% 50.04/32.99 tff(27892,plain,
% 50.04/32.99 (~v225(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27891, 26388, 27888])).
% 50.04/32.99 tff(27893,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB39)) | (~v200(constB39)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB39)) | (~v200(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27894,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB39)) | (~v200(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27895,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB39)) | (~v200(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27894, 27893])).
% 50.04/32.99 tff(27896,plain,
% 50.04/32.99 (~v166(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27895, 26805, 27839])).
% 50.04/32.99 tff(27897,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB39) | (~v197(constB39)) | v166(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | (~v197(constB39)) | v166(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27898,plain,
% 50.04/32.99 (((~v197(constB39)) | v166(constB39) | v241(constB39)) <=> (v241(constB39) | (~v197(constB39)) | v166(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27899,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB39) | (~v197(constB39)) | v166(constB39)))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27898])).
% 50.04/32.99 tff(27900,plain,
% 50.04/32.99 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | (~v197(constB39)) | v166(constB39))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27899, 27897])).
% 50.04/32.99 tff(27901,plain,
% 50.04/32.99 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27902,plain,
% 50.04/32.99 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | (~v197(constB39)) | v166(constB39)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27901, 27900])).
% 50.04/32.99 tff(27903,plain,
% 50.04/32.99 (v241(constB39) | (~v197(constB39))),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27902, 15198, 27896])).
% 50.04/32.99 tff(27904,plain,
% 50.04/32.99 (v241(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27903, 27858])).
% 50.04/32.99 tff(27905,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB39)) | (~v223(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB39)) | (~v223(constB39, 2)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27906,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB39)) | (~v223(constB39, 2)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27907,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB39)) | (~v223(constB39, 2))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27906, 27905])).
% 50.04/32.99 tff(27908,plain,
% 50.04/32.99 (~v223(constB39, 2)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27907, 15216, 27904])).
% 50.04/32.99 tff(27909,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB39) | v223(constB39, 2) | (~v242(constB39)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB39) | v223(constB39, 2) | (~v242(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27910,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB39) | v223(constB39, 2) | (~v242(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27911,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB39) | v223(constB39, 2) | (~v242(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27910, 27909])).
% 50.04/32.99 tff(27912,plain,
% 50.04/32.99 (v225(constB39) | (~v242(constB39))),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27911, 26831, 27908])).
% 50.04/32.99 tff(27913,plain,
% 50.04/32.99 (~v242(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27912, 27892])).
% 50.04/32.99 tff(27914,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB39) | (~v238(constB39)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB39) | (~v238(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27915,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB39) | (~v238(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27916,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB39) | (~v238(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27915, 27914])).
% 50.04/32.99 tff(27917,plain,
% 50.04/32.99 (~v238(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27916, 26846, 27913])).
% 50.04/32.99 tff(27918,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB39) | (~v237(constB39)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB39) | (~v237(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27919,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB39) | (~v237(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27920,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB39) | (~v237(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27919, 27918])).
% 50.04/32.99 tff(27921,plain,
% 50.04/32.99 (~v237(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27920, 26860, 27917])).
% 50.04/32.99 tff(27922,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB39)) | v223(constB39, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB39)) | v223(constB39, 2))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27923,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB39)) | v223(constB39, 2))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27924,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB39)) | v223(constB39, 2)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27923, 27922])).
% 50.04/32.99 tff(27925,plain,
% 50.04/32.99 (~v224(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27924, 15227, 27908])).
% 50.04/32.99 tff(27926,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB39)) | v223(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB39)) | v223(constB39, 1))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27927,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB39)) | v223(constB39, 1))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27928,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB39)) | v223(constB39, 1)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27927, 27926])).
% 50.04/32.99 tff(27929,plain,
% 50.04/32.99 (~v222(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27928, 26413, 27884])).
% 50.04/32.99 tff(27930,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB39) | v224(constB39) | (~v236(constB39)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB39) | v224(constB39) | (~v236(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27931,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB39) | v224(constB39) | (~v236(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27932,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB39) | v224(constB39) | (~v236(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27931, 27930])).
% 50.04/32.99 tff(27933,plain,
% 50.04/32.99 (~v236(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27932, 15241, 27929, 27925])).
% 50.04/32.99 tff(27934,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB39) | (~v232(constB39)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB39) | (~v232(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27935,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB39) | (~v232(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27936,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB39) | (~v232(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 50.04/32.99 tff(27937,plain,
% 50.04/32.99 (~v232(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27936, 15255, 27933])).
% 50.04/32.99 tff(27938,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB39) | v237(constB39) | (~v248(constB39)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB39) | v237(constB39) | (~v248(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27939,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB39) | v237(constB39) | (~v248(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27940,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB39) | v237(constB39) | (~v248(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27939, 27938])).
% 50.04/32.99 tff(27941,plain,
% 50.04/32.99 (v237(constB39) | (~v248(constB39))),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27940, 15323, 27937])).
% 50.04/32.99 tff(27942,plain,
% 50.04/32.99 (~v248(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27941, 27921])).
% 50.04/32.99 tff(27943,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB39) | (~v244(constB39)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB39) | (~v244(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27944,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB39) | (~v244(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27945,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB39) | (~v244(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 50.04/32.99 tff(27946,plain,
% 50.04/32.99 (~v244(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27945, 15338, 27942])).
% 50.04/32.99 tff(27947,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB39) | (~v216(constB39, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB39) | (~v216(constB39, 1)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27948,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB39) | (~v216(constB39, 1)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27949,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB39) | (~v216(constB39, 1))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 50.04/32.99 tff(27950,plain,
% 50.04/32.99 (~v216(constB39, 1)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27949, 15352, 27946])).
% 50.04/32.99 tff(27951,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB39)) | v216(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB39)) | v216(constB39, 1))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27952,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB39)) | v216(constB39, 1))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27953,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB39)) | v216(constB39, 1)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27952, 27951])).
% 50.04/32.99 tff(27954,plain,
% 50.04/32.99 (~v254(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27953, 15363, 27950])).
% 50.04/32.99 tff(27955,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB39) | (~v231(constB39)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB39) | (~v231(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27956,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB39) | (~v231(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27957,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB39) | (~v231(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27956, 27955])).
% 50.04/32.99 tff(27958,plain,
% 50.04/32.99 (~v231(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27957, 26907, 27937])).
% 50.04/32.99 tff(27959,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB39) | (~v221(constB39)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB39) | (~v221(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27960,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB39) | (~v221(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27961,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB39) | (~v221(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 50.04/32.99 tff(27962,plain,
% 50.04/32.99 (~v221(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27961, 26489, 27929])).
% 50.04/32.99 tff(27963,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB39) | v231(constB39) | (~v243(constB39)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB39) | v231(constB39) | (~v243(constB39)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27964,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB39) | v231(constB39) | (~v243(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27965,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB39) | v231(constB39) | (~v243(constB39))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27964, 27963])).
% 50.04/32.99 tff(27966,plain,
% 50.04/32.99 (v231(constB39) | (~v243(constB39))),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27965, 15405, 27962])).
% 50.04/32.99 tff(27967,plain,
% 50.04/32.99 (~v243(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27966, 27958])).
% 50.04/32.99 tff(27968,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB39) | v255(constB39))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB39) | v255(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27969,plain,
% 50.04/32.99 ((v255(constB39) | v243(constB39)) <=> (v243(constB39) | v255(constB39))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27970,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB39) | v243(constB39))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB39) | v255(constB39)))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27969])).
% 50.04/32.99 tff(27971,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB39) | v243(constB39))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB39) | v255(constB39))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27970, 27968])).
% 50.04/32.99 tff(27972,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB39) | v243(constB39))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27973,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB39) | v255(constB39)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27972, 27971])).
% 50.04/32.99 tff(27974,plain,
% 50.04/32.99 (v255(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27973, 15416, 27967])).
% 50.04/32.99 tff(27975,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB39)) | (~v216(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB39)) | (~v216(constB39, 2)))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27976,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB39)) | (~v216(constB39, 2)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27977,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB39)) | (~v216(constB39, 2))),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27976, 27975])).
% 50.04/32.99 tff(27978,plain,
% 50.04/32.99 (~v216(constB39, 2)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27977, 15433, 27974])).
% 50.04/32.99 tff(27979,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB39)) | v254(constB39) | v216(constB39, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB39)) | v254(constB39) | v216(constB39, 2))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27980,plain,
% 50.04/32.99 ((v216(constB39, 2) | v254(constB39) | (~v215(constB39))) <=> ((~v215(constB39)) | v254(constB39) | v216(constB39, 2))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27981,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB39, 2) | v254(constB39) | (~v215(constB39)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB39)) | v254(constB39) | v216(constB39, 2)))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27980])).
% 50.04/32.99 tff(27982,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB39, 2) | v254(constB39) | (~v215(constB39)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB39)) | v254(constB39) | v216(constB39, 2))),
% 50.04/32.99 inference(transitivity,[status(thm)],[27981, 27979])).
% 50.04/32.99 tff(27983,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB39, 2) | v254(constB39) | (~v215(constB39)))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27984,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB39)) | v254(constB39) | v216(constB39, 2)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27983, 27982])).
% 50.04/32.99 tff(27985,plain,
% 50.04/32.99 ((~v215(constB39)) | v254(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27984, 15447, 27978])).
% 50.04/32.99 tff(27986,plain,
% 50.04/32.99 (~v215(constB39)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27985, 27954])).
% 50.04/32.99 tff(27987,plain,
% 50.04/32.99 ($false),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27986, 27813])).
% 50.04/32.99 tff(27988,plain,(~(constB39 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.04/32.99 tff(27989,assumption,(constB75 = sK_VarCurr), introduced(assumption)).
% 50.04/32.99 tff(27990,plain,
% 50.04/32.99 (v215(constB75) <=> v215(sK_VarCurr)),
% 50.04/32.99 inference(monotonicity,[status(thm)],[27989])).
% 50.04/32.99 tff(27991,plain,
% 50.04/32.99 (v215(sK_VarCurr) <=> v215(constB75)),
% 50.04/32.99 inference(symmetry,[status(thm)],[27990])).
% 50.04/32.99 tff(27992,plain,
% 50.04/32.99 (v215(constB75)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[34, 27991])).
% 50.04/32.99 tff(27993,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB75, 2)) | v90(constB75, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB75, 2)) | v90(constB75, 2))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27994,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB75, 2)) | v90(constB75, 2))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27995,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB75, 2)) | v90(constB75, 2)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27994, 27993])).
% 50.04/32.99 tff(27996,plain,
% 50.04/32.99 (~v88(constB75, 2)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27995, 26020, 9117])).
% 50.04/32.99 tff(27997,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB75, 1)) | v90(constB75, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB75, 1)) | v90(constB75, 1))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(27998,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB75, 1)) | v90(constB75, 1))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(27999,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB75, 1)) | v90(constB75, 1)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[27998, 27997])).
% 50.04/32.99 tff(28000,plain,
% 50.04/32.99 (~v88(constB75, 1)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[27999, 26697, 9151])).
% 50.04/32.99 tff(28001,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB75, 0)) | v88(constB75, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB75, 0)) | v88(constB75, 0))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(28002,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB75, 0)) | v88(constB75, 0))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(28003,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB75, 0)) | v88(constB75, 0)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[28002, 28001])).
% 50.04/32.99 tff(28004,plain,
% 50.04/32.99 (v88(constB75, 0)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[28003, 26254, 9182])).
% 50.04/32.99 tff(28005,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB75, 1) | v88(constB75, 2) | (~v88(constB75, 0)) | v140(constB75))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB75, 1) | v88(constB75, 2) | (~v88(constB75, 0)) | v140(constB75))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(28006,plain,
% 50.04/32.99 ((v88(constB75, 2) | v88(constB75, 1) | (~v88(constB75, 0)) | v140(constB75)) <=> (v88(constB75, 1) | v88(constB75, 2) | (~v88(constB75, 0)) | v140(constB75))),
% 50.04/32.99 inference(rewrite,[status(thm)],[])).
% 50.04/32.99 tff(28007,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB75, 2) | v88(constB75, 1) | (~v88(constB75, 0)) | v140(constB75))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB75, 1) | v88(constB75, 2) | (~v88(constB75, 0)) | v140(constB75)))),
% 50.04/32.99 inference(monotonicity,[status(thm)],[28006])).
% 50.04/32.99 tff(28008,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB75, 2) | v88(constB75, 1) | (~v88(constB75, 0)) | v140(constB75))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB75, 1) | v88(constB75, 2) | (~v88(constB75, 0)) | v140(constB75))),
% 50.04/32.99 inference(transitivity,[status(thm)],[28007, 28005])).
% 50.04/32.99 tff(28009,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB75, 2) | v88(constB75, 1) | (~v88(constB75, 0)) | v140(constB75))),
% 50.04/32.99 inference(quant_inst,[status(thm)],[])).
% 50.04/32.99 tff(28010,plain,
% 50.04/32.99 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB75, 1) | v88(constB75, 2) | (~v88(constB75, 0)) | v140(constB75)),
% 50.04/32.99 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 50.04/32.99 tff(28011,plain,
% 50.04/32.99 (v140(constB75)),
% 50.04/32.99 inference(unit_resolution,[status(thm)],[28010, 26719, 28004, 28000, 27996])).
% 50.04/32.99 tff(28012,plain,
% 50.04/32.99 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB75)) | v200(constB75))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB75)) | v200(constB75))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28013,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB75)) | v200(constB75))),
% 50.04/33.00 inference(quant_inst,[status(thm)],[])).
% 50.04/33.00 tff(28014,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB75)) | v200(constB75)),
% 50.04/33.00 inference(modus_ponens,[status(thm)],[28013, 28012])).
% 50.04/33.00 tff(28015,plain,
% 50.04/33.00 (v200(constB75)),
% 50.04/33.00 inference(unit_resolution,[status(thm)],[28014, 26731, 28011])).
% 50.04/33.00 tff(28016,plain,
% 50.04/33.00 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB75)) | v199(constB75))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB75)) | v199(constB75))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28017,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB75)) | v199(constB75))),
% 50.04/33.00 inference(quant_inst,[status(thm)],[])).
% 50.04/33.00 tff(28018,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB75)) | v199(constB75)),
% 50.04/33.00 inference(modus_ponens,[status(thm)],[28017, 28016])).
% 50.04/33.00 tff(28019,plain,
% 50.04/33.00 (v199(constB75)),
% 50.04/33.00 inference(unit_resolution,[status(thm)],[28018, 26742, 28015])).
% 50.04/33.00 tff(28020,plain,
% 50.04/33.00 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB75) | (~v199(constB75)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB75) | (~v199(constB75)))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28021,plain,
% 50.04/33.00 (((~v199(constB75)) | v198(constB75)) <=> (v198(constB75) | (~v199(constB75)))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28022,plain,
% 50.04/33.00 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB75)) | v198(constB75))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB75) | (~v199(constB75))))),
% 50.04/33.00 inference(monotonicity,[status(thm)],[28021])).
% 50.04/33.00 tff(28023,plain,
% 50.04/33.00 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB75)) | v198(constB75))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB75) | (~v199(constB75)))),
% 50.04/33.00 inference(transitivity,[status(thm)],[28022, 28020])).
% 50.04/33.00 tff(28024,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB75)) | v198(constB75))),
% 50.04/33.00 inference(quant_inst,[status(thm)],[])).
% 50.04/33.00 tff(28025,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB75) | (~v199(constB75))),
% 50.04/33.00 inference(modus_ponens,[status(thm)],[28024, 28023])).
% 50.04/33.00 tff(28026,plain,
% 50.04/33.00 (v198(constB75)),
% 50.04/33.00 inference(unit_resolution,[status(thm)],[28025, 26293, 28019])).
% 50.04/33.00 tff(28027,plain,
% 50.04/33.00 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB75)) | (~v201(constB75)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB75)) | (~v201(constB75)))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28028,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB75)) | (~v201(constB75)))),
% 50.04/33.00 inference(quant_inst,[status(thm)],[])).
% 50.04/33.00 tff(28029,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB75)) | (~v201(constB75))),
% 50.04/33.00 inference(modus_ponens,[status(thm)],[28028, 28027])).
% 50.04/33.00 tff(28030,plain,
% 50.04/33.00 (~v201(constB75)),
% 50.04/33.00 inference(unit_resolution,[status(thm)],[28029, 15064, 28026])).
% 50.04/33.00 tff(28031,plain,
% 50.04/33.00 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB75) | (~v198(constB75)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB75) | (~v198(constB75)))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28032,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB75) | (~v198(constB75)))),
% 50.04/33.00 inference(quant_inst,[status(thm)],[])).
% 50.04/33.00 tff(28033,plain,
% 50.04/33.00 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB75) | (~v198(constB75))),
% 50.04/33.00 inference(modus_ponens,[status(thm)],[28032, 28031])).
% 50.04/33.00 tff(28034,plain,
% 50.04/33.00 (v197(constB75)),
% 50.04/33.00 inference(unit_resolution,[status(thm)],[28033, 15078, 28026])).
% 50.04/33.00 tff(28035,plain,
% 50.04/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB75) | (~v197(constB75)) | v201(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB75) | (~v197(constB75)) | v201(constB75))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28036,plain,
% 50.04/33.00 (((~v197(constB75)) | v201(constB75) | v227(constB75)) <=> (v227(constB75) | (~v197(constB75)) | v201(constB75))),
% 50.04/33.00 inference(rewrite,[status(thm)],[])).
% 50.04/33.00 tff(28037,plain,
% 50.04/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB75)) | v201(constB75) | v227(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB75) | (~v197(constB75)) | v201(constB75)))),
% 50.04/33.00 inference(monotonicity,[status(thm)],[28036])).
% 50.04/33.00 tff(28038,plain,
% 50.04/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB75)) | v201(constB75) | v227(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB75) | (~v197(constB75)) | v201(constB75))),
% 50.04/33.00 inference(transitivity,[status(thm)],[28037, 28035])).
% 50.04/33.00 tff(28039,plain,
% 50.04/33.00 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB75)) | v201(constB75) | v227(constB75))),
% 50.04/33.00 inference(quant_inst,[status(thm)],[])).
% 50.04/33.00 tff(28040,plain,
% 50.04/33.00 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB75) | (~v197(constB75)) | v201(constB75)),
% 50.04/33.00 inference(modus_ponens,[status(thm)],[28039, 28038])).
% 50.04/33.00 tff(28041,plain,
% 50.04/33.00 (v227(constB75)),
% 50.04/33.00 inference(unit_resolution,[status(thm)],[28040, 15092, 28034, 28030])).
% 50.04/33.00 tff(28042,plain,
% 50.04/33.00 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB75)) | (~v223(constB75, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB75)) | (~v223(constB75, 0)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28043,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB75)) | (~v223(constB75, 0)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28044,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB75)) | (~v223(constB75, 0))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28043, 28042])).
% 50.07/33.00 tff(28045,plain,
% 50.07/33.00 (~v223(constB75, 0)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28044, 15109, 28041])).
% 50.07/33.00 tff(28046,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB75)) | (~v199(constB75)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB75)) | (~v199(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28047,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB75)) | (~v199(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28048,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB75)) | (~v199(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28047, 28046])).
% 50.07/33.00 tff(28049,plain,
% 50.07/33.00 (~v183(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28048, 26326, 28019])).
% 50.07/33.00 tff(28050,plain,
% 50.07/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB75) | v183(constB75) | (~v197(constB75)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB75) | v183(constB75) | (~v197(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28051,plain,
% 50.07/33.00 (((~v197(constB75)) | v183(constB75) | v228(constB75)) <=> (v228(constB75) | v183(constB75) | (~v197(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28052,plain,
% 50.07/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB75)) | v183(constB75) | v228(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB75) | v183(constB75) | (~v197(constB75))))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28051])).
% 50.07/33.00 tff(28053,plain,
% 50.07/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB75)) | v183(constB75) | v228(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB75) | v183(constB75) | (~v197(constB75)))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28052, 28050])).
% 50.07/33.00 tff(28054,plain,
% 50.07/33.00 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB75)) | v183(constB75) | v228(constB75))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28055,plain,
% 50.07/33.00 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB75) | v183(constB75) | (~v197(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28054, 28053])).
% 50.07/33.00 tff(28056,plain,
% 50.07/33.00 (v228(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28055, 26340, 28034, 28049])).
% 50.07/33.00 tff(28057,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB75)) | (~v223(constB75, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB75)) | (~v223(constB75, 1)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28058,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB75)) | (~v223(constB75, 1)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28059,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB75)) | (~v223(constB75, 1))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 50.07/33.00 tff(28060,plain,
% 50.07/33.00 (~v223(constB75, 1)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28059, 26357, 28056])).
% 50.07/33.00 tff(28061,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB75, 1) | v223(constB75, 0) | (~v229(constB75)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB75, 1) | v223(constB75, 0) | (~v229(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28062,plain,
% 50.07/33.00 ((v223(constB75, 0) | v223(constB75, 1) | (~v229(constB75))) <=> (v223(constB75, 1) | v223(constB75, 0) | (~v229(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28063,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB75, 0) | v223(constB75, 1) | (~v229(constB75)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB75, 1) | v223(constB75, 0) | (~v229(constB75))))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28062])).
% 50.07/33.00 tff(28064,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB75, 0) | v223(constB75, 1) | (~v229(constB75)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB75, 1) | v223(constB75, 0) | (~v229(constB75)))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28063, 28061])).
% 50.07/33.00 tff(28065,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB75, 0) | v223(constB75, 1) | (~v229(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28066,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB75, 1) | v223(constB75, 0) | (~v229(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28065, 28064])).
% 50.07/33.00 tff(28067,plain,
% 50.07/33.00 (~v229(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28066, 26371, 28060, 28045])).
% 50.07/33.00 tff(28068,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB75) | (~v225(constB75)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB75) | (~v225(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28069,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB75) | (~v225(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28070,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB75) | (~v225(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28069, 28068])).
% 50.07/33.00 tff(28071,plain,
% 50.07/33.00 (~v225(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28070, 26388, 28067])).
% 50.07/33.00 tff(28072,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB75)) | (~v200(constB75)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB75)) | (~v200(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28073,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB75)) | (~v200(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28074,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB75)) | (~v200(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28073, 28072])).
% 50.07/33.00 tff(28075,plain,
% 50.07/33.00 (~v166(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28074, 26805, 28015])).
% 50.07/33.00 tff(28076,plain,
% 50.07/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB75) | (~v197(constB75)) | v166(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB75) | (~v197(constB75)) | v166(constB75))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28077,plain,
% 50.07/33.00 (((~v197(constB75)) | v166(constB75) | v241(constB75)) <=> (v241(constB75) | (~v197(constB75)) | v166(constB75))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28078,plain,
% 50.07/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB75)) | v166(constB75) | v241(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB75) | (~v197(constB75)) | v166(constB75)))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28077])).
% 50.07/33.00 tff(28079,plain,
% 50.07/33.00 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB75)) | v166(constB75) | v241(constB75))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB75) | (~v197(constB75)) | v166(constB75))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28078, 28076])).
% 50.07/33.00 tff(28080,plain,
% 50.07/33.00 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB75)) | v166(constB75) | v241(constB75))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28081,plain,
% 50.07/33.00 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB75) | (~v197(constB75)) | v166(constB75)),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28080, 28079])).
% 50.07/33.00 tff(28082,plain,
% 50.07/33.00 (v241(constB75) | (~v197(constB75))),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28081, 15198, 28075])).
% 50.07/33.00 tff(28083,plain,
% 50.07/33.00 (v241(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28082, 28034])).
% 50.07/33.00 tff(28084,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB75)) | (~v223(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB75)) | (~v223(constB75, 2)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28085,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB75)) | (~v223(constB75, 2)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28086,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB75)) | (~v223(constB75, 2))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28085, 28084])).
% 50.07/33.00 tff(28087,plain,
% 50.07/33.00 (~v223(constB75, 2)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28086, 15216, 28083])).
% 50.07/33.00 tff(28088,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB75) | v223(constB75, 2) | (~v242(constB75)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB75) | v223(constB75, 2) | (~v242(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28089,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB75) | v223(constB75, 2) | (~v242(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28090,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB75) | v223(constB75, 2) | (~v242(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28089, 28088])).
% 50.07/33.00 tff(28091,plain,
% 50.07/33.00 (v225(constB75) | (~v242(constB75))),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28090, 26831, 28087])).
% 50.07/33.00 tff(28092,plain,
% 50.07/33.00 (~v242(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28091, 28071])).
% 50.07/33.00 tff(28093,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB75) | (~v238(constB75)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB75) | (~v238(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28094,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB75) | (~v238(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28095,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB75) | (~v238(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 50.07/33.00 tff(28096,plain,
% 50.07/33.00 (~v238(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28095, 26846, 28092])).
% 50.07/33.00 tff(28097,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB75) | (~v237(constB75)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB75) | (~v237(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28098,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB75) | (~v237(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28099,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB75) | (~v237(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 50.07/33.00 tff(28100,plain,
% 50.07/33.00 (~v237(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28099, 26860, 28096])).
% 50.07/33.00 tff(28101,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB75)) | v223(constB75, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB75)) | v223(constB75, 2))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28102,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB75)) | v223(constB75, 2))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28103,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB75)) | v223(constB75, 2)),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28102, 28101])).
% 50.07/33.00 tff(28104,plain,
% 50.07/33.00 (~v224(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28103, 15227, 28087])).
% 50.07/33.00 tff(28105,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB75)) | v223(constB75, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB75)) | v223(constB75, 1))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28106,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB75)) | v223(constB75, 1))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28107,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB75)) | v223(constB75, 1)),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 50.07/33.00 tff(28108,plain,
% 50.07/33.00 (~v222(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28107, 26413, 28060])).
% 50.07/33.00 tff(28109,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB75) | v224(constB75) | (~v236(constB75)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB75) | v224(constB75) | (~v236(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28110,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB75) | v224(constB75) | (~v236(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28111,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB75) | v224(constB75) | (~v236(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28110, 28109])).
% 50.07/33.00 tff(28112,plain,
% 50.07/33.00 (~v236(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28111, 15241, 28108, 28104])).
% 50.07/33.00 tff(28113,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB75) | (~v232(constB75)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB75) | (~v232(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28114,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB75) | (~v232(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28115,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB75) | (~v232(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28114, 28113])).
% 50.07/33.00 tff(28116,plain,
% 50.07/33.00 (~v232(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28115, 15255, 28112])).
% 50.07/33.00 tff(28117,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB75) | v237(constB75) | (~v248(constB75)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB75) | v237(constB75) | (~v248(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28118,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB75) | v237(constB75) | (~v248(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28119,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB75) | v237(constB75) | (~v248(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28118, 28117])).
% 50.07/33.00 tff(28120,plain,
% 50.07/33.00 (v237(constB75) | (~v248(constB75))),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28119, 15323, 28116])).
% 50.07/33.00 tff(28121,plain,
% 50.07/33.00 (~v248(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28120, 28100])).
% 50.07/33.00 tff(28122,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB75) | (~v244(constB75)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB75) | (~v244(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28123,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB75) | (~v244(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28124,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB75) | (~v244(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28123, 28122])).
% 50.07/33.00 tff(28125,plain,
% 50.07/33.00 (~v244(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28124, 15338, 28121])).
% 50.07/33.00 tff(28126,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB75) | (~v216(constB75, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB75) | (~v216(constB75, 1)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28127,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB75) | (~v216(constB75, 1)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28128,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB75) | (~v216(constB75, 1))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28127, 28126])).
% 50.07/33.00 tff(28129,plain,
% 50.07/33.00 (~v216(constB75, 1)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28128, 15352, 28125])).
% 50.07/33.00 tff(28130,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB75)) | v216(constB75, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB75)) | v216(constB75, 1))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28131,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB75)) | v216(constB75, 1))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28132,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB75)) | v216(constB75, 1)),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 50.07/33.00 tff(28133,plain,
% 50.07/33.00 (~v254(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28132, 15363, 28129])).
% 50.07/33.00 tff(28134,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB75) | (~v231(constB75)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB75) | (~v231(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28135,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB75) | (~v231(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28136,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB75) | (~v231(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28135, 28134])).
% 50.07/33.00 tff(28137,plain,
% 50.07/33.00 (~v231(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28136, 26907, 28116])).
% 50.07/33.00 tff(28138,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB75) | (~v221(constB75)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB75) | (~v221(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28139,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB75) | (~v221(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28140,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB75) | (~v221(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28139, 28138])).
% 50.07/33.00 tff(28141,plain,
% 50.07/33.00 (~v221(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28140, 26489, 28108])).
% 50.07/33.00 tff(28142,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB75) | v231(constB75) | (~v243(constB75)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB75) | v231(constB75) | (~v243(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28143,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB75) | v231(constB75) | (~v243(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28144,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB75) | v231(constB75) | (~v243(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28143, 28142])).
% 50.07/33.00 tff(28145,plain,
% 50.07/33.00 (v231(constB75) | (~v243(constB75))),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28144, 15405, 28141])).
% 50.07/33.00 tff(28146,plain,
% 50.07/33.00 (~v243(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28145, 28137])).
% 50.07/33.00 tff(28147,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB75) | v255(constB75))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB75) | v255(constB75))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28148,plain,
% 50.07/33.00 ((v255(constB75) | v243(constB75)) <=> (v243(constB75) | v255(constB75))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28149,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB75) | v243(constB75))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB75) | v255(constB75)))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28148])).
% 50.07/33.00 tff(28150,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB75) | v243(constB75))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB75) | v255(constB75))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28149, 28147])).
% 50.07/33.00 tff(28151,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB75) | v243(constB75))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28152,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB75) | v255(constB75)),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 50.07/33.00 tff(28153,plain,
% 50.07/33.00 (v255(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28152, 15416, 28146])).
% 50.07/33.00 tff(28154,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB75)) | (~v216(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB75)) | (~v216(constB75, 2)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28155,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB75)) | (~v216(constB75, 2)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28156,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB75)) | (~v216(constB75, 2))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28155, 28154])).
% 50.07/33.00 tff(28157,plain,
% 50.07/33.00 (~v216(constB75, 2)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28156, 15433, 28153])).
% 50.07/33.00 tff(28158,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB75) | v216(constB75, 2) | (~v215(constB75)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB75) | v216(constB75, 2) | (~v215(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28159,plain,
% 50.07/33.00 ((v216(constB75, 2) | v254(constB75) | (~v215(constB75))) <=> (v254(constB75) | v216(constB75, 2) | (~v215(constB75)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28160,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB75, 2) | v254(constB75) | (~v215(constB75)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB75) | v216(constB75, 2) | (~v215(constB75))))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28159])).
% 50.07/33.00 tff(28161,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB75, 2) | v254(constB75) | (~v215(constB75)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB75) | v216(constB75, 2) | (~v215(constB75)))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28160, 28158])).
% 50.07/33.00 tff(28162,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB75, 2) | v254(constB75) | (~v215(constB75)))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28163,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB75) | v216(constB75, 2) | (~v215(constB75))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28162, 28161])).
% 50.07/33.00 tff(28164,plain,
% 50.07/33.00 (v254(constB75) | (~v215(constB75))),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28163, 15447, 28157])).
% 50.07/33.00 tff(28165,plain,
% 50.07/33.00 (~v215(constB75)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28164, 28133])).
% 50.07/33.00 tff(28166,plain,
% 50.07/33.00 ($false),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28165, 27992])).
% 50.07/33.00 tff(28167,plain,(~(constB75 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.07/33.00 tff(28168,assumption,(constB29 = sK_VarCurr), introduced(assumption)).
% 50.07/33.00 tff(28169,plain,
% 50.07/33.00 (v215(constB29) <=> v215(sK_VarCurr)),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28168])).
% 50.07/33.00 tff(28170,plain,
% 50.07/33.00 (v215(sK_VarCurr) <=> v215(constB29)),
% 50.07/33.00 inference(symmetry,[status(thm)],[28169])).
% 50.07/33.00 tff(28171,plain,
% 50.07/33.00 (v215(constB29)),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[34, 28170])).
% 50.07/33.00 tff(28172,plain,
% 50.07/33.00 (~v130(constB27, 2)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4113, 767, 4020])).
% 50.07/33.00 tff(28173,plain,
% 50.07/33.00 (~v127(constB27, 2)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4121, 28172])).
% 50.07/33.00 tff(28174,plain,
% 50.07/33.00 (~v129(constB28, 2)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4126, 28173])).
% 50.07/33.00 tff(28175,assumption,(v122(constB19)), introduced(assumption)).
% 50.07/33.00 tff(28176,plain,
% 50.07/33.00 (v116(constB19)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2673, 1236, 28175])).
% 50.07/33.00 tff(28177,plain,
% 50.07/33.00 (v115(constB19)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2680, 238, 28176])).
% 50.07/33.00 tff(28178,plain,
% 50.07/33.00 (v114(constB19)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2687, 252, 28177])).
% 50.07/33.00 tff(28179,plain,
% 50.07/33.00 (v113(constB19)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2694, 266, 28178])).
% 50.07/33.00 tff(28180,plain,
% 50.07/33.00 (v112(constB19)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2703, 28179])).
% 50.07/33.00 tff(28181,plain,
% 50.07/33.00 (v108(constB19)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2710, 292, 28180])).
% 50.07/33.00 tff(28182,plain,
% 50.07/33.00 (v110(constB20)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2721, 28181])).
% 50.07/33.00 tff(28183,plain,
% 50.07/33.00 (v100(constB20)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2747, 28182])).
% 50.07/33.00 tff(28184,plain,
% 50.07/33.00 (~v130(constB19, 1)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2800, 1410, 28175])).
% 50.07/33.00 tff(28185,plain,
% 50.07/33.00 (~v127(constB19, 1)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2808, 28184])).
% 50.07/33.00 tff(28186,plain,
% 50.07/33.00 (~v129(constB20, 1)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2813, 28185])).
% 50.07/33.00 tff(28187,plain,
% 50.07/33.00 ((~v90(constB20, 1)) | (~v100(constB20))),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2820, 453, 28186])).
% 50.07/33.00 tff(28188,plain,
% 50.07/33.00 (~v90(constB20, 1)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28187, 28183])).
% 50.07/33.00 tff(28189,plain,
% 50.07/33.00 (~v90(constB21, 1)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2830, 28188])).
% 50.07/33.00 tff(28190,plain,
% 50.07/33.00 (~v130(constB19, 0)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2834, 1451, 28175])).
% 50.07/33.00 tff(28191,plain,
% 50.07/33.00 (~v127(constB19, 0)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2842, 28190])).
% 50.07/33.00 tff(28192,plain,
% 50.07/33.00 (~v129(constB20, 0)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2847, 28191])).
% 50.07/33.00 tff(28193,plain,
% 50.07/33.00 ((~v90(constB20, 0)) | (~v100(constB20))),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2854, 963, 28192])).
% 50.07/33.00 tff(28194,plain,
% 50.07/33.00 (~v90(constB20, 0)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28193, 28183])).
% 50.07/33.00 tff(28195,plain,
% 50.07/33.00 (~v90(constB21, 0)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[2864, 28194])).
% 50.07/33.00 tff(28196,assumption,(~v100(constB28)), introduced(assumption)).
% 50.07/33.00 tff(28197,assumption,(~v90(constB28, 2)), introduced(assumption)).
% 50.07/33.00 tff(28198,plain,
% 50.07/33.00 (~v110(constB28)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4109, 28196])).
% 50.07/33.00 tff(28199,plain,
% 50.07/33.00 (~v108(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4083, 28198])).
% 50.07/33.00 tff(28200,plain,
% 50.07/33.00 (~v112(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4072, 292, 28199])).
% 50.07/33.00 tff(28201,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v26(constB27)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28202,plain,
% 50.07/33.00 (((~v26(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v26(constB27)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28203,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v26(constB27))))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28202])).
% 50.07/33.00 tff(28204,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27)))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28203, 28201])).
% 50.07/33.00 tff(28205,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28206,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 50.07/33.00 tff(28207,plain,
% 50.07/33.00 (~v26(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28206, 1761, 28199])).
% 50.07/33.00 tff(28208,plain,
% 50.07/33.00 (~v113(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4064, 280, 28207, 28200])).
% 50.07/33.00 tff(28209,plain,
% 50.07/33.00 (~v114(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4056, 266, 28208])).
% 50.07/33.00 tff(28210,plain,
% 50.07/33.00 (~v115(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4052, 252, 28209])).
% 50.07/33.00 tff(28211,plain,
% 50.07/33.00 (~v116(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4045, 238, 28210])).
% 50.07/33.00 tff(28212,plain,
% 50.07/33.00 (~v117(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4038, 224, 28211])).
% 50.07/33.00 tff(28213,plain,
% 50.07/33.00 (~v118(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4031, 210, 28212])).
% 50.07/33.00 tff(28214,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28215,plain,
% 50.07/33.00 (((~v119(constB27)) | v118(constB27)) <=> (v118(constB27) | (~v119(constB27)))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28216,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27))))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28215])).
% 50.07/33.00 tff(28217,plain,
% 50.07/33.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28216, 28214])).
% 50.07/33.00 tff(28218,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))),
% 50.07/33.00 inference(quant_inst,[status(thm)],[])).
% 50.07/33.00 tff(28219,plain,
% 50.07/33.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27))),
% 50.07/33.00 inference(modus_ponens,[status(thm)],[28218, 28217])).
% 50.07/33.00 tff(28220,plain,
% 50.07/33.00 (~v119(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[28219, 199, 28213])).
% 50.07/33.00 tff(28221,plain,
% 50.07/33.00 (~v120(constB27)),
% 50.07/33.00 inference(unit_resolution,[status(thm)],[4024, 665, 28213])).
% 50.07/33.00 tff(28222,plain,
% 50.07/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28223,plain,
% 50.07/33.00 (((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2)) <=> ((~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))),
% 50.07/33.00 inference(rewrite,[status(thm)],[])).
% 50.07/33.00 tff(28224,plain,
% 50.07/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2)))),
% 50.07/33.00 inference(monotonicity,[status(thm)],[28223])).
% 50.07/33.00 tff(28225,plain,
% 50.07/33.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))),
% 50.07/33.00 inference(transitivity,[status(thm)],[28224, 28222])).
% 50.07/33.00 tff(28226,plain,
% 50.07/33.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28227,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28226, 28225])).
% 50.07/33.01 tff(28228,plain,
% 50.07/33.01 ((~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28227, 1394, 4076])).
% 50.07/33.01 tff(28229,plain,
% 50.07/33.01 (~v90(constB27, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28228, 28196, 28197])).
% 50.07/33.01 tff(28230,assumption,(~v90(constB28, 1)), introduced(assumption)).
% 50.07/33.01 tff(28231,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28232,plain,
% 50.07/33.01 (((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1)) <=> ((~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28233,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1)))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28232])).
% 50.07/33.01 tff(28234,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28233, 28231])).
% 50.07/33.01 tff(28235,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28236,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28235, 28234])).
% 50.07/33.01 tff(28237,plain,
% 50.07/33.01 ((~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28236, 900, 4076])).
% 50.07/33.01 tff(28238,plain,
% 50.07/33.01 (~v90(constB27, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28237, 28196, 28230])).
% 50.07/33.01 tff(28239,plain,
% 50.07/33.01 ((~v90(constB27, 0)) | v120(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4018, 651, 28238, 28229])).
% 50.07/33.01 tff(28240,plain,
% 50.07/33.01 (~v90(constB27, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28239, 28221])).
% 50.07/33.01 tff(28241,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28242,plain,
% 50.07/33.01 ((v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2)) <=> (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28243,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27)))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28242])).
% 50.07/33.01 tff(28244,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28243, 28241])).
% 50.07/33.01 tff(28245,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28246,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28245, 28244])).
% 50.07/33.01 tff(28247,plain,
% 50.07/33.01 (v90(constB27, 0) | v119(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28246, 185, 28238, 28229])).
% 50.07/33.01 tff(28248,plain,
% 50.07/33.01 ($false),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28247, 28240, 28220])).
% 50.07/33.01 tff(28249,plain,(v100(constB28) | v90(constB28, 1) | v90(constB28, 2)), inference(lemma,lemma(discharge,[]))).
% 50.07/33.01 tff(28250,plain,
% 50.07/33.01 (v90(constB28, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28249, 28196, 28197])).
% 50.07/33.01 tff(28251,assumption,(v90(constB28, 1)), introduced(assumption)).
% 50.07/33.01 tff(28252,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28253,plain,
% 50.07/33.01 (((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))) <=> (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28254,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28253])).
% 50.07/33.01 tff(28255,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28254, 28252])).
% 50.07/33.01 tff(28256,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28257,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28256, 28255])).
% 50.07/33.01 tff(28258,plain,
% 50.07/33.01 (v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28257, 143, 4076])).
% 50.07/33.01 tff(28259,plain,
% 50.07/33.01 (v90(constB27, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28258, 28196, 28251])).
% 50.07/33.01 tff(28260,assumption,(v90(constB28, 0)), introduced(assumption)).
% 50.07/33.01 tff(28261,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28262,plain,
% 50.07/33.01 (((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0))) <=> (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28263,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0))))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28262])).
% 50.07/33.01 tff(28264,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28263, 28261])).
% 50.07/33.01 tff(28265,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28266,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0))),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28265, 28264])).
% 50.07/33.01 tff(28267,plain,
% 50.07/33.01 (v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0))),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28266, 164, 4076])).
% 50.07/33.01 tff(28268,plain,
% 50.07/33.01 (v90(constB27, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28267, 28196, 28260])).
% 50.07/33.01 tff(28269,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28270,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28271,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 50.07/33.01 tff(28272,plain,
% 50.07/33.01 (v122(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28271, 1225, 28268, 28259, 28229])).
% 50.07/33.01 tff(28273,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28274,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28275,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 50.07/33.01 tff(28276,plain,
% 50.07/33.01 (v116(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28275, 1236, 28272])).
% 50.07/33.01 tff(28277,plain,
% 50.07/33.01 (v115(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4045, 238, 28276])).
% 50.07/33.01 tff(28278,plain,
% 50.07/33.01 ($false),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4052, 252, 28209, 28277])).
% 50.07/33.01 tff(28279,plain,(v100(constB28) | v90(constB28, 2) | (~v90(constB28, 1)) | (~v90(constB28, 0))), inference(lemma,lemma(discharge,[]))).
% 50.07/33.01 tff(28280,plain,
% 50.07/33.01 (~v90(constB28, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28279, 28196, 28197, 28250])).
% 50.07/33.01 tff(28281,assumption,(~v90(constB28, 0)), introduced(assumption)).
% 50.07/33.01 tff(28282,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28283,plain,
% 50.07/33.01 (((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0)) <=> ((~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28284,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0)))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28283])).
% 50.07/33.01 tff(28285,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28284, 28282])).
% 50.07/33.01 tff(28286,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28287,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28286, 28285])).
% 50.07/33.01 tff(28288,plain,
% 50.07/33.01 ((~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28287, 563, 4076])).
% 50.07/33.01 tff(28289,plain,
% 50.07/33.01 (~v90(constB27, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28288, 28196, 28281])).
% 50.07/33.01 tff(28290,plain,
% 50.07/33.01 (v100(constB26)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3904, 3672, 3768])).
% 50.07/33.01 tff(28291,plain,
% 50.07/33.01 ((~v129(constB26, 0)) | (~v100(constB26))),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3962, 545, 3699])).
% 50.07/33.01 tff(28292,plain,
% 50.07/33.01 (~v129(constB26, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28291, 28290])).
% 50.07/33.01 tff(28293,plain,
% 50.07/33.01 (~v127(constB25, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3670, 28292])).
% 50.07/33.01 tff(28294,plain,
% 50.07/33.01 (~v130(constB25, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3665, 28293])).
% 50.07/33.01 tff(28295,plain,
% 50.07/33.01 (~v123(constB25)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3642, 1677, 28294])).
% 50.07/33.01 tff(28296,plain,
% 50.07/33.01 (~v121(constB25)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3646, 1184, 28294])).
% 50.07/33.01 tff(28297,plain,
% 50.07/33.01 (~v119(constB25)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3650, 501, 28294])).
% 50.07/33.01 tff(28298,plain,
% 50.07/33.01 (~v90(constB26, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3866, 3774])).
% 50.07/33.01 tff(28299,plain,
% 50.07/33.01 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28300,plain,
% 50.07/33.01 ((v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1))) <=> (v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28301,plain,
% 50.07/33.01 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26))))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28300])).
% 50.07/33.01 tff(28302,plain,
% 50.07/33.01 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28301, 28299])).
% 50.07/33.01 tff(28303,plain,
% 50.07/33.01 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1)))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28304,plain,
% 50.07/33.01 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26))),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28303, 28302])).
% 50.07/33.01 tff(28305,plain,
% 50.07/33.01 (v90(constB26, 1) | (~v129(constB26, 1))),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28304, 882, 28290])).
% 50.07/33.01 tff(28306,plain,
% 50.07/33.01 (~v129(constB26, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28305, 28298])).
% 50.07/33.01 tff(28307,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28308,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28309,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28308, 28307])).
% 50.07/33.01 tff(28310,plain,
% 50.07/33.01 ((~v127(constB25, 1)) | v129(constB26, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28309, 867, 3615])).
% 50.07/33.01 tff(28311,plain,
% 50.07/33.01 (~v127(constB25, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28310, 28306])).
% 50.07/33.01 tff(28312,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28313,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28314,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28313, 28312])).
% 50.07/33.01 tff(28315,plain,
% 50.07/33.01 ((~v130(constB25, 1)) | v127(constB25, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28314, 852, 3604])).
% 50.07/33.01 tff(28316,plain,
% 50.07/33.01 (~v130(constB25, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28315, 28311])).
% 50.07/33.01 tff(28317,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB25)) | v130(constB25, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB25)) | v130(constB25, 1))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28318,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB25)) | v130(constB25, 1))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28319,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB25)) | v130(constB25, 1)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28318, 28317])).
% 50.07/33.01 tff(28320,plain,
% 50.07/33.01 (~v120(constB25)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28319, 838, 28316])).
% 50.07/33.01 tff(28321,plain,
% 50.07/33.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28322,plain,
% 50.07/33.01 ((v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2))) <=> (v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28323,plain,
% 50.07/33.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26))))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28322])).
% 50.07/33.01 tff(28324,plain,
% 50.07/33.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28323, 28321])).
% 50.07/33.01 tff(28325,plain,
% 50.07/33.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2)))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28326,plain,
% 50.07/33.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26))),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28325, 28324])).
% 50.07/33.01 tff(28327,plain,
% 50.07/33.01 (v90(constB26, 2) | (~v129(constB26, 2))),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28326, 1358, 28290])).
% 50.07/33.01 tff(28328,plain,
% 50.07/33.01 (~v129(constB26, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28327, 3791])).
% 50.07/33.01 tff(28329,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28330,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28331,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28330, 28329])).
% 50.07/33.01 tff(28332,plain,
% 50.07/33.01 ((~v127(constB25, 2)) | v129(constB26, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28331, 1343, 3615])).
% 50.07/33.01 tff(28333,plain,
% 50.07/33.01 (~v127(constB25, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28332, 28328])).
% 50.07/33.01 tff(28334,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28335,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28336,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28335, 28334])).
% 50.07/33.01 tff(28337,plain,
% 50.07/33.01 ((~v130(constB25, 2)) | v127(constB25, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28336, 1328, 3604])).
% 50.07/33.01 tff(28338,plain,
% 50.07/33.01 (~v130(constB25, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28337, 28333])).
% 50.07/33.01 tff(28339,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB25)) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB25)) | v130(constB25, 2))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28340,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB25)) | v130(constB25, 2))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28341,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB25)) | v130(constB25, 2)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28340, 28339])).
% 50.07/33.01 tff(28342,plain,
% 50.07/33.01 (~v124(constB25)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28341, 1729, 28338])).
% 50.07/33.01 tff(28343,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB25)) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB25)) | v130(constB25, 2))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28344,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB25)) | v130(constB25, 2))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28345,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB25)) | v130(constB25, 2)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28344, 28343])).
% 50.07/33.01 tff(28346,plain,
% 50.07/33.01 (~v122(constB25)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28345, 1314, 28338])).
% 50.07/33.01 tff(28347,plain,
% 50.07/33.01 (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[3657, 2200, 28294])).
% 50.07/33.01 tff(28348,plain,
% 50.07/33.01 ($false),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28347, 28346, 28342, 28320, 28297, 28296, 28295])).
% 50.07/33.01 tff(28349,plain,(v90(constB27, 2) | v90(constB27, 0) | v121(constB27)), inference(lemma,lemma(discharge,[]))).
% 50.07/33.01 tff(28350,plain,
% 50.07/33.01 (v121(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28349, 28289, 28229])).
% 50.07/33.01 tff(28351,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v121(constB27)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28352,plain,
% 50.07/33.01 (((~v121(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v121(constB27)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28353,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v121(constB27))))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28352])).
% 50.07/33.01 tff(28354,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27)))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28353, 28351])).
% 50.07/33.01 tff(28355,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28356,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27))),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28355, 28354])).
% 50.07/33.01 tff(28357,plain,
% 50.07/33.01 (v117(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28356, 1001, 28350])).
% 50.07/33.01 tff(28358,plain,
% 50.07/33.01 (v116(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4038, 224, 28357])).
% 50.07/33.01 tff(28359,plain,
% 50.07/33.01 (~v113(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4065, 28200])).
% 50.07/33.01 tff(28360,plain,
% 50.07/33.01 (~v114(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4056, 266, 28359])).
% 50.07/33.01 tff(28361,plain,
% 50.07/33.01 (~v115(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4052, 252, 28360])).
% 50.07/33.01 tff(28362,plain,
% 50.07/33.01 ($false),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[4045, 238, 28361, 28358])).
% 50.07/33.01 tff(28363,plain,(v100(constB28) | v90(constB28, 0) | v90(constB28, 2)), inference(lemma,lemma(discharge,[]))).
% 50.07/33.01 tff(28364,plain,
% 50.07/33.01 ($false),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28363, 28280, 28196, 28197])).
% 50.07/33.01 tff(28365,plain,(v100(constB28) | v90(constB28, 2)), inference(lemma,lemma(discharge,[]))).
% 50.07/33.01 tff(28366,plain,
% 50.07/33.01 (v90(constB28, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28365, 28196])).
% 50.07/33.01 tff(28367,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28368,plain,
% 50.07/33.01 (((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))) <=> (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28369,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28368])).
% 50.07/33.01 tff(28370,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28369, 28367])).
% 50.07/33.01 tff(28371,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28372,plain,
% 50.07/33.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28371, 28370])).
% 50.07/33.01 tff(28373,plain,
% 50.07/33.01 (v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28372, 122, 4076])).
% 50.07/33.01 tff(28374,plain,
% 50.07/33.01 (v90(constB27, 2)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28373, 28366, 28196])).
% 50.07/33.01 tff(28375,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB27)) | v113(constB27))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28376,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB27)) | v113(constB27))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28377,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB27)) | v113(constB27)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 50.07/33.01 tff(28378,plain,
% 50.07/33.01 (~v125(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28377, 1964, 28359])).
% 50.07/33.01 tff(28379,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v123(constB27)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v123(constB27)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28380,plain,
% 50.07/33.01 (((~v123(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v123(constB27)))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28381,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v123(constB27))))),
% 50.07/33.01 inference(monotonicity,[status(thm)],[28380])).
% 50.07/33.01 tff(28382,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v123(constB27)))),
% 50.07/33.01 inference(transitivity,[status(thm)],[28381, 28379])).
% 50.07/33.01 tff(28383,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB27)) | v115(constB27))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28384,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v123(constB27))),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28383, 28382])).
% 50.07/33.01 tff(28385,plain,
% 50.07/33.01 (~v123(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28384, 1506, 28361])).
% 50.07/33.01 tff(28386,assumption,(~v123(constB27)), introduced(assumption)).
% 50.07/33.01 tff(28387,assumption,(~v125(constB27)), introduced(assumption)).
% 50.07/33.01 tff(28388,assumption,(v90(constB27, 2)), introduced(assumption)).
% 50.07/33.01 tff(28389,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB27, 0) | (~v90(constB27, 1)) | (~v90(constB27, 2)) | v125(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB27, 0) | (~v90(constB27, 1)) | (~v90(constB27, 2)) | v125(constB27))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28390,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB27, 0) | (~v90(constB27, 1)) | (~v90(constB27, 2)) | v125(constB27))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28391,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB27, 0) | (~v90(constB27, 1)) | (~v90(constB27, 2)) | v125(constB27)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 50.07/33.01 tff(28392,plain,
% 50.07/33.01 (v90(constB27, 0) | (~v90(constB27, 1)) | v125(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28391, 1953, 28388])).
% 50.07/33.01 tff(28393,plain,
% 50.07/33.01 (~v90(constB27, 1)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28392, 3672, 28387])).
% 50.07/33.01 tff(28394,plain,
% 50.07/33.01 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28395,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27))),
% 50.07/33.01 inference(quant_inst,[status(thm)],[])).
% 50.07/33.01 tff(28396,plain,
% 50.07/33.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27)),
% 50.07/33.01 inference(modus_ponens,[status(thm)],[28395, 28394])).
% 50.07/33.01 tff(28397,plain,
% 50.07/33.01 (v90(constB27, 0) | v90(constB27, 1) | v123(constB27)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28396, 1495, 28388])).
% 50.07/33.01 tff(28398,plain,
% 50.07/33.01 ($false),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28397, 28393, 3672, 28386])).
% 50.07/33.01 tff(28399,plain,(v90(constB27, 0) | v123(constB27) | (~v90(constB27, 2)) | v125(constB27)), inference(lemma,lemma(discharge,[]))).
% 50.07/33.01 tff(28400,plain,
% 50.07/33.01 (v90(constB27, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28399, 28385, 28378, 28374])).
% 50.07/33.01 tff(28401,plain,
% 50.07/33.01 (v90(constB28, 0)),
% 50.07/33.01 inference(unit_resolution,[status(thm)],[28288, 28400, 28196])).
% 50.07/33.01 tff(28402,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28403,plain,
% 50.07/33.01 (((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0)) <=> ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 50.07/33.01 inference(rewrite,[status(thm)],[])).
% 50.07/33.01 tff(28404,plain,
% 50.07/33.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0)))),
% 50.07/33.02 inference(monotonicity,[status(thm)],[28403])).
% 50.07/33.02 tff(28405,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 50.07/33.02 inference(transitivity,[status(thm)],[28404, 28402])).
% 50.07/33.02 tff(28406,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28407,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0)),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28406, 28405])).
% 50.07/33.02 tff(28408,plain,
% 50.07/33.02 ((~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28407, 563, 4138])).
% 50.07/33.02 tff(28409,plain,
% 50.07/33.02 ((~v90(constB28, 0)) | v90(constB29, 0)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28408, 4150])).
% 50.07/33.02 tff(28410,plain,
% 50.07/33.02 (v90(constB29, 0)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28409, 28401])).
% 50.07/33.02 tff(28411,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB29)) | (~v90(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB29)) | (~v90(constB29, 0)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28412,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB29)) | (~v90(constB29, 0)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28413,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB29)) | (~v90(constB29, 0))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28412, 28411])).
% 50.07/33.02 tff(28414,plain,
% 50.07/33.02 (~v123(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28413, 12075, 28410])).
% 50.07/33.02 tff(28415,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28416,plain,
% 50.07/33.02 (((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2)) <=> ((~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28417,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2)))),
% 50.07/33.02 inference(monotonicity,[status(thm)],[28416])).
% 50.07/33.02 tff(28418,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))),
% 50.07/33.02 inference(transitivity,[status(thm)],[28417, 28415])).
% 50.07/33.02 tff(28419,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28420,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2)),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28419, 28418])).
% 50.07/33.02 tff(28421,plain,
% 50.07/33.02 ((~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28420, 1394, 4138])).
% 50.07/33.02 tff(28422,plain,
% 50.07/33.02 ((~v90(constB28, 2)) | v90(constB29, 2)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28421, 4150])).
% 50.07/33.02 tff(28423,plain,
% 50.07/33.02 (v90(constB29, 2)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28422, 28366])).
% 50.07/33.02 tff(28424,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB29)) | (~v90(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28425,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28426,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB29)) | (~v90(constB29, 2))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28425, 28424])).
% 50.07/33.02 tff(28427,plain,
% 50.07/33.02 (~v119(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28426, 11378, 28423])).
% 50.07/33.02 tff(28428,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB29)) | (~v90(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28429,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28430,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB29)) | (~v90(constB29, 2))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28429, 28428])).
% 50.07/33.02 tff(28431,plain,
% 50.07/33.02 (~v120(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28430, 3158, 28423])).
% 50.07/33.02 tff(28432,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28433,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28432])).
% 50.07/33.02 tff(28434,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28435,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28436,plain,
% 50.07/33.02 (![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28435])).
% 50.07/33.02 tff(28437,axiom,(![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 50.07/33.02 tff(28438,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28437, 28436])).
% 50.07/33.02 tff(28439,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28438, 28434])).
% 50.07/33.02 tff(28440,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28439])).
% 50.07/33.02 tff(28441,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28440, 28433])).
% 50.07/33.02 tff(28442,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB29) | v120(constB29) | (~v118(constB29)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB29) | v120(constB29) | (~v118(constB29)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28443,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB29) | v120(constB29) | (~v118(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28444,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB29) | v120(constB29) | (~v118(constB29))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28443, 28442])).
% 50.07/33.02 tff(28445,plain,
% 50.07/33.02 (~v118(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28444, 28441, 28431, 28427])).
% 50.07/33.02 tff(28446,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB29)) | (~v90(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28447,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28448,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB29)) | (~v90(constB29, 2))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28447, 28446])).
% 50.07/33.02 tff(28449,plain,
% 50.07/33.02 (~v121(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28448, 2028, 28423])).
% 50.07/33.02 tff(28450,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28451,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28450])).
% 50.07/33.02 tff(28452,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28453,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28454,plain,
% 50.07/33.02 (![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28453])).
% 50.07/33.02 tff(28455,axiom,(![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 50.07/33.02 tff(28456,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 50.07/33.02 tff(28457,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28456, 28452])).
% 50.07/33.02 tff(28458,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28457])).
% 50.07/33.02 tff(28459,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28458, 28451])).
% 50.07/33.02 tff(28460,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB29) | v121(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB29) | v121(constB29) | (~v117(constB29)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28461,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB29) | v121(constB29) | (~v117(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28462,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB29) | v121(constB29) | (~v117(constB29))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28461, 28460])).
% 50.07/33.02 tff(28463,plain,
% 50.07/33.02 (v118(constB29) | (~v117(constB29))),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28462, 28459, 28449])).
% 50.07/33.02 tff(28464,plain,
% 50.07/33.02 (~v117(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28463, 28445])).
% 50.07/33.02 tff(28465,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB29)) | (~v90(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28466,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB29)) | (~v90(constB29, 2)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28467,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB29)) | (~v90(constB29, 2))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28466, 28465])).
% 50.07/33.02 tff(28468,plain,
% 50.07/33.02 (~v122(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28467, 2039, 28423])).
% 50.07/33.02 tff(28469,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28470,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28469])).
% 50.07/33.02 tff(28471,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28472,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28473,plain,
% 50.07/33.02 (![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28472])).
% 50.07/33.02 tff(28474,axiom,(![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 50.07/33.02 tff(28475,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28474, 28473])).
% 50.07/33.02 tff(28476,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28475, 28471])).
% 50.07/33.02 tff(28477,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28476])).
% 50.07/33.02 tff(28478,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28477, 28470])).
% 50.07/33.02 tff(28479,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB29) | v122(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB29) | v122(constB29) | (~v116(constB29)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28480,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB29) | v122(constB29) | (~v116(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28481,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB29) | v122(constB29) | (~v116(constB29))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28480, 28479])).
% 50.07/33.02 tff(28482,plain,
% 50.07/33.02 (v117(constB29) | (~v116(constB29))),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28481, 28478, 28468])).
% 50.07/33.02 tff(28483,plain,
% 50.07/33.02 (~v116(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28482, 28464])).
% 50.07/33.02 tff(28484,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28485,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28484])).
% 50.07/33.02 tff(28486,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28487,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28488,plain,
% 50.07/33.02 (![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28487])).
% 50.07/33.02 tff(28489,axiom,(![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 50.07/33.02 tff(28490,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28489, 28488])).
% 50.07/33.02 tff(28491,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28490, 28486])).
% 50.07/33.02 tff(28492,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28491])).
% 50.07/33.02 tff(28493,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28492, 28485])).
% 50.07/33.02 tff(28494,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB29) | v123(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB29) | v123(constB29) | (~v115(constB29)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28495,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB29) | v123(constB29) | (~v115(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28496,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB29) | v123(constB29) | (~v115(constB29))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28495, 28494])).
% 50.07/33.02 tff(28497,plain,
% 50.07/33.02 (v123(constB29) | (~v115(constB29))),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28496, 28493, 28483])).
% 50.07/33.02 tff(28498,plain,
% 50.07/33.02 (~v115(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28497, 28414])).
% 50.07/33.02 tff(28499,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB27)) | v114(constB27))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28500,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB27)) | v114(constB27))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28501,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB27)) | v114(constB27)),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28500, 28499])).
% 50.07/33.02 tff(28502,plain,
% 50.07/33.02 (~v124(constB27)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28501, 1775, 28360])).
% 50.07/33.02 tff(28503,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28504,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28505,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27)),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28504, 28503])).
% 50.07/33.02 tff(28506,plain,
% 50.07/33.02 ((~v90(constB27, 0)) | v90(constB27, 1) | v124(constB27)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28505, 1718, 28374])).
% 50.07/33.02 tff(28507,plain,
% 50.07/33.02 (v90(constB27, 1)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28506, 28400, 28502])).
% 50.07/33.02 tff(28508,plain,
% 50.07/33.02 (v90(constB28, 1)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28237, 28507, 28196])).
% 50.07/33.02 tff(28509,plain,
% 50.07/33.02 (v90(constB29, 1)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[4341, 28508])).
% 50.07/33.02 tff(28510,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB29)) | (~v90(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB29)) | (~v90(constB29, 1)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28511,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB29)) | (~v90(constB29, 1)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28512,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB29)) | (~v90(constB29, 1))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28511, 28510])).
% 50.07/33.02 tff(28513,plain,
% 50.07/33.02 (~v124(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28512, 2083, 28509])).
% 50.07/33.02 tff(28514,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28515,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28514])).
% 50.07/33.02 tff(28516,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28517,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28518,plain,
% 50.07/33.02 (![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28517])).
% 50.07/33.02 tff(28519,axiom,(![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 50.07/33.02 tff(28520,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28519, 28518])).
% 50.07/33.02 tff(28521,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28520, 28516])).
% 50.07/33.02 tff(28522,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28521])).
% 50.07/33.02 tff(28523,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28522, 28515])).
% 50.07/33.02 tff(28524,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB29) | v124(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB29) | v124(constB29) | (~v114(constB29)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28525,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB29) | v124(constB29) | (~v114(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28526,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB29) | v124(constB29) | (~v114(constB29))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28525, 28524])).
% 50.07/33.02 tff(28527,plain,
% 50.07/33.02 (~v114(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28526, 28523, 28513, 28498])).
% 50.07/33.02 tff(28528,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v125(VarCurr)) | (~v90(VarCurr, 0))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28529,plain,
% 50.07/33.02 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28528])).
% 50.07/33.02 tff(28530,plain,
% 50.07/33.02 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28531,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 50.07/33.02 tff(28532,plain,
% 50.07/33.02 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 50.07/33.02 tff(28533,plain,(
% 50.07/33.02 ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28532])).
% 50.07/33.02 tff(28534,plain,
% 50.07/33.02 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28533, 28529])).
% 50.07/33.02 tff(28535,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v125(constB29)) | (~v90(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | (~v125(constB29)) | (~v90(constB29, 0)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28536,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v125(constB29)) | (~v90(constB29, 0)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28537,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | (~v125(constB29)) | (~v90(constB29, 0))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 50.07/33.02 tff(28538,plain,
% 50.07/33.02 (~v125(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28537, 28534, 28410])).
% 50.07/33.02 tff(28539,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28540,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28539])).
% 50.07/33.02 tff(28541,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28542,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28543,plain,
% 50.07/33.02 (![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28542])).
% 50.07/33.02 tff(28544,axiom,(![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 50.07/33.02 tff(28545,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28544, 28543])).
% 50.07/33.02 tff(28546,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28545, 28541])).
% 50.07/33.02 tff(28547,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28546])).
% 50.07/33.02 tff(28548,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28547, 28540])).
% 50.07/33.02 tff(28549,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB29) | v125(constB29) | (~v113(constB29)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB29) | v125(constB29) | (~v113(constB29)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28550,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB29) | v125(constB29) | (~v113(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28551,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB29) | v125(constB29) | (~v113(constB29))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28550, 28549])).
% 50.07/33.02 tff(28552,plain,
% 50.07/33.02 (v114(constB29) | (~v113(constB29))),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28551, 28548, 28538])).
% 50.07/33.02 tff(28553,plain,
% 50.07/33.02 (~v113(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28552, 28527])).
% 50.07/33.02 tff(28554,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28555,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28554])).
% 50.07/33.02 tff(28556,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28557,plain,
% 50.07/33.02 (^[VarCurr: state_type] : rewrite(((~v112(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28558,plain,
% 50.07/33.02 (![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28557])).
% 50.07/33.02 tff(28559,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 50.07/33.02 tff(28560,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28559, 28558])).
% 50.07/33.02 tff(28561,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28560, 28556])).
% 50.07/33.02 tff(28562,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28561])).
% 50.07/33.02 tff(28563,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28562, 28555])).
% 50.07/33.02 tff(28564,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB29) | (~v112(constB29)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28565,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB29) | (~v112(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28566,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB29) | (~v112(constB29))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28565, 28564])).
% 50.07/33.02 tff(28567,plain,
% 50.07/33.02 (~v112(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28566, 28563, 28553])).
% 50.07/33.02 tff(28568,plain,
% 50.07/33.02 (^[VarCurr: state_type] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28569,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28568])).
% 50.07/33.02 tff(28570,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28571,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28572,plain,
% 50.07/33.02 (![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28571])).
% 50.07/33.02 tff(28573,axiom,(![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 50.07/33.02 tff(28574,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28573, 28572])).
% 50.07/33.02 tff(28575,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28574, 28570])).
% 50.07/33.02 tff(28576,plain,(
% 50.07/33.02 ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28575])).
% 50.07/33.02 tff(28577,plain,
% 50.07/33.02 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28576, 28569])).
% 50.07/33.02 tff(28578,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB29)) | v26(constB29) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB29)) | v26(constB29) | v112(constB29))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28579,plain,
% 50.07/33.02 ((v26(constB29) | v112(constB29) | (~v108(constB29))) <=> ((~v108(constB29)) | v26(constB29) | v112(constB29))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28580,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB29) | v112(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB29)) | v26(constB29) | v112(constB29)))),
% 50.07/33.02 inference(monotonicity,[status(thm)],[28579])).
% 50.07/33.02 tff(28581,plain,
% 50.07/33.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB29) | v112(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB29)) | v26(constB29) | v112(constB29))),
% 50.07/33.02 inference(transitivity,[status(thm)],[28580, 28578])).
% 50.07/33.02 tff(28582,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB29) | v112(constB29) | (~v108(constB29)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28583,plain,
% 50.07/33.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB29)) | v26(constB29) | v112(constB29)),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28582, 28581])).
% 50.07/33.02 tff(28584,plain,
% 50.07/33.02 ((~v108(constB29)) | v112(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28583, 28577, 4385])).
% 50.07/33.02 tff(28585,plain,
% 50.07/33.02 (~v108(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28584, 28567])).
% 50.07/33.02 tff(28586,plain,
% 50.07/33.02 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28587,plain,
% 50.07/33.02 (![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)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28586])).
% 50.07/33.02 tff(28588,plain,
% 50.07/33.02 (![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)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28589,plain,
% 50.07/33.02 (^[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)))))),
% 50.07/33.02 inference(bind,[status(th)],[])).
% 50.07/33.02 tff(28590,plain,
% 50.07/33.02 (![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)))),
% 50.07/33.02 inference(quant_intro,[status(thm)],[28589])).
% 50.07/33.02 tff(28591,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')).
% 50.07/33.02 tff(28592,plain,
% 50.07/33.02 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28591, 28590])).
% 50.07/33.02 tff(28593,plain,
% 50.07/33.02 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28592, 28588])).
% 50.07/33.02 tff(28594,plain,(
% 50.07/33.02 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 50.07/33.02 inference(skolemize,[status(sab)],[28593])).
% 50.07/33.02 tff(28595,plain,
% 50.07/33.02 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28594, 28587])).
% 50.07/33.02 tff(28596,plain,
% 50.07/33.02 (((~![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))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28597,plain,
% 50.07/33.02 (((~nextState(constB29, constB30)) | v108(constB29) | (~v110(constB30))) <=> ((~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28598,plain,
% 50.07/33.02 (((~![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)))),
% 50.07/33.02 inference(monotonicity,[status(thm)],[28597])).
% 50.07/33.02 tff(28599,plain,
% 50.07/33.02 (((~![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))),
% 50.07/33.02 inference(transitivity,[status(thm)],[28598, 28596])).
% 50.07/33.02 tff(28600,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB29, constB30)) | v108(constB29) | (~v110(constB30)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28601,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29)),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 50.07/33.02 tff(28602,plain,
% 50.07/33.02 ((~v110(constB30)) | v108(constB29)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28601, 28595, 4277])).
% 50.07/33.02 tff(28603,plain,
% 50.07/33.02 (~v110(constB30)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28602, 28585])).
% 50.07/33.02 tff(28604,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30)))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28605,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30)))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28606,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30))),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28605, 28604])).
% 50.07/33.02 tff(28607,plain,
% 50.07/33.02 (v110(constB30) | (~v100(constB30))),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28606, 11481, 4277])).
% 50.07/33.02 tff(28608,plain,
% 50.07/33.02 (~v100(constB30)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28607, 28603])).
% 50.07/33.02 tff(28609,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28610,plain,
% 50.07/33.02 (((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)) <=> ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28611,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)))),
% 50.07/33.02 inference(monotonicity,[status(thm)],[28610])).
% 50.07/33.02 tff(28612,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 50.07/33.02 inference(transitivity,[status(thm)],[28611, 28609])).
% 50.07/33.02 tff(28613,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))),
% 50.07/33.02 inference(quant_inst,[status(thm)],[])).
% 50.07/33.02 tff(28614,plain,
% 50.07/33.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)),
% 50.07/33.02 inference(modus_ponens,[status(thm)],[28613, 28612])).
% 50.07/33.02 tff(28615,plain,
% 50.07/33.02 ((~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28614, 563, 4277])).
% 50.07/33.02 tff(28616,plain,
% 50.07/33.02 (v90(constB30, 0)),
% 50.07/33.02 inference(unit_resolution,[status(thm)],[28615, 28608, 28410])).
% 50.07/33.02 tff(28617,plain,
% 50.07/33.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28618,plain,
% 50.07/33.02 (((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1)) <=> ((~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))),
% 50.07/33.02 inference(rewrite,[status(thm)],[])).
% 50.07/33.02 tff(28619,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1)))),
% 50.07/33.03 inference(monotonicity,[status(thm)],[28618])).
% 50.07/33.03 tff(28620,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))),
% 50.07/33.03 inference(transitivity,[status(thm)],[28619, 28617])).
% 50.07/33.03 tff(28621,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28622,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28621, 28620])).
% 50.07/33.03 tff(28623,plain,
% 50.07/33.03 ((~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28622, 900, 4277])).
% 50.07/33.03 tff(28624,plain,
% 50.07/33.03 (v90(constB30, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28623, 28608, 28509])).
% 50.07/33.03 tff(28625,assumption,(v90(constB30, 1)), introduced(assumption)).
% 50.07/33.03 tff(28626,assumption,(~v100(constB30)), introduced(assumption)).
% 50.07/33.03 tff(28627,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28628,plain,
% 50.07/33.03 (((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1))) <=> (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28629,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1))))),
% 50.07/33.03 inference(monotonicity,[status(thm)],[28628])).
% 50.07/33.03 tff(28630,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 50.07/33.03 inference(transitivity,[status(thm)],[28629, 28627])).
% 50.07/33.03 tff(28631,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28632,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28631, 28630])).
% 50.07/33.03 tff(28633,plain,
% 50.07/33.03 (v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28632, 143, 4277])).
% 50.07/33.03 tff(28634,plain,
% 50.07/33.03 (v90(constB29, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28633, 28626, 28625])).
% 50.07/33.03 tff(28635,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28636,plain,
% 50.07/33.03 (((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))) <=> (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28637,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))))),
% 50.07/33.03 inference(monotonicity,[status(thm)],[28636])).
% 50.07/33.03 tff(28638,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 50.07/33.03 inference(transitivity,[status(thm)],[28637, 28635])).
% 50.07/33.03 tff(28639,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28640,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28639, 28638])).
% 50.07/33.03 tff(28641,plain,
% 50.07/33.03 (v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28640, 143, 4138])).
% 50.07/33.03 tff(28642,plain,
% 50.07/33.03 (v90(constB28, 1) | (~v90(constB29, 1))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28641, 4150])).
% 50.07/33.03 tff(28643,plain,
% 50.07/33.03 (v90(constB28, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28642, 28634])).
% 50.07/33.03 tff(28644,assumption,(v90(constB28, 2)), introduced(assumption)).
% 50.07/33.03 tff(28645,assumption,(v90(constB30, 0)), introduced(assumption)).
% 50.07/33.03 tff(28646,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28647,plain,
% 50.07/33.03 (((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))) <=> (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28648,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))))),
% 50.07/33.03 inference(monotonicity,[status(thm)],[28647])).
% 50.07/33.03 tff(28649,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 50.07/33.03 inference(transitivity,[status(thm)],[28648, 28646])).
% 50.07/33.03 tff(28650,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28651,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28650, 28649])).
% 50.07/33.03 tff(28652,plain,
% 50.07/33.03 (v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28651, 164, 4277])).
% 50.07/33.03 tff(28653,plain,
% 50.07/33.03 (v90(constB29, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28652, 28626, 28645])).
% 50.07/33.03 tff(28654,plain,
% 50.07/33.03 (v90(constB28, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4375, 28653])).
% 50.07/33.03 tff(28655,plain,
% 50.07/33.03 (v100(constB28)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28267, 3672, 28260])).
% 50.07/33.03 tff(28656,plain,
% 50.07/33.03 (v129(constB28, 2) | (~v100(constB28))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4130, 626, 28644])).
% 50.07/33.03 tff(28657,plain,
% 50.07/33.03 (v129(constB28, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28656, 28655])).
% 50.07/33.03 tff(28658,plain,
% 50.07/33.03 (v127(constB27, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4126, 28657])).
% 50.07/33.03 tff(28659,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB27)) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB27)) | (~v127(constB27, 2)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28660,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB27)) | (~v127(constB27, 2)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28661,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB27)) | (~v127(constB27, 2))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 50.07/33.03 tff(28662,plain,
% 50.07/33.03 (~v26(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28661, 788, 28658])).
% 50.07/33.03 tff(28663,plain,
% 50.07/33.03 (v130(constB27, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4120, 593, 28658, 28662])).
% 50.07/33.03 tff(28664,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB27)) | (~v130(constB27, 2)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28665,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB27)) | (~v130(constB27, 2)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28666,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB27)) | (~v130(constB27, 2))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28665, 28664])).
% 50.07/33.03 tff(28667,plain,
% 50.07/33.03 (~v119(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28666, 579, 28663])).
% 50.07/33.03 tff(28668,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB27)) | v90(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB27)) | v90(constB27, 0))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28669,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB27)) | v90(constB27, 0))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28670,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB27)) | v90(constB27, 0)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 50.07/33.03 tff(28671,plain,
% 50.07/33.03 (~v120(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28670, 7947, 3672])).
% 50.07/33.03 tff(28672,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB27)) | (~v130(constB27, 2)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28673,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB27)) | (~v130(constB27, 2)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28674,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB27)) | (~v130(constB27, 2))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28673, 28672])).
% 50.07/33.03 tff(28675,plain,
% 50.07/33.03 (~v121(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28674, 1090, 28663])).
% 50.07/33.03 tff(28676,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB27)) | v90(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB27)) | v90(constB27, 0))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28677,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB27)) | v90(constB27, 0))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28678,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB27)) | v90(constB27, 0)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28677, 28676])).
% 50.07/33.03 tff(28679,plain,
% 50.07/33.03 (~v122(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28678, 7927, 3672])).
% 50.07/33.03 tff(28680,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB27)) | v90(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB27)) | v90(constB27, 0))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28681,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB27)) | v90(constB27, 0))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28682,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB27)) | v90(constB27, 0)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28681, 28680])).
% 50.07/33.03 tff(28683,plain,
% 50.07/33.03 (~v124(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28682, 3169, 3672])).
% 50.07/33.03 tff(28684,plain,
% 50.07/33.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28685,plain,
% 50.07/33.03 (((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1)) <=> ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28686,plain,
% 50.07/33.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))))),
% 50.07/33.03 inference(monotonicity,[status(thm)],[28685])).
% 50.07/33.03 tff(28687,plain,
% 50.07/33.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 50.07/33.03 inference(transitivity,[status(thm)],[28686, 28684])).
% 50.07/33.03 tff(28688,plain,
% 50.07/33.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28689,plain,
% 50.07/33.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28688, 28687])).
% 50.07/33.03 tff(28690,plain,
% 50.07/33.03 (v129(constB28, 1) | (~v100(constB28))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28689, 453, 28251])).
% 50.07/33.03 tff(28691,plain,
% 50.07/33.03 (v129(constB28, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28690, 28655])).
% 50.07/33.03 tff(28692,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28693,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28694,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 50.07/33.03 tff(28695,plain,
% 50.07/33.03 (v127(constB27, 1) | (~v129(constB28, 1))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28694, 438, 4076])).
% 50.07/33.03 tff(28696,plain,
% 50.07/33.03 (v127(constB27, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28695, 28691])).
% 50.07/33.03 tff(28697,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28698,plain,
% 50.07/33.03 ((v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1))) <=> ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28699,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)))),
% 50.07/33.03 inference(monotonicity,[status(thm)],[28698])).
% 50.07/33.03 tff(28700,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 50.07/33.03 inference(transitivity,[status(thm)],[28699, 28697])).
% 50.07/33.03 tff(28701,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28702,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28701, 28700])).
% 50.07/33.03 tff(28703,plain,
% 50.07/33.03 (v130(constB27, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28702, 408, 28696, 28662])).
% 50.07/33.03 tff(28704,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28705,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28706,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28705, 28704])).
% 50.07/33.03 tff(28707,plain,
% 50.07/33.03 (v123(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28706, 2156, 28703, 28683, 28679, 28675, 28671, 28667])).
% 50.07/33.03 tff(28708,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB27)) | (~v130(constB27, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28709,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB27)) | (~v130(constB27, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28710,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB27)) | (~v130(constB27, 1))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28709, 28708])).
% 50.07/33.03 tff(28711,plain,
% 50.07/33.03 ($false),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28710, 1636, 28703, 28707])).
% 50.07/33.03 tff(28712,plain,(v90(constB27, 0) | (~v90(constB28, 1)) | (~v90(constB28, 2)) | (~v90(constB28, 0))), inference(lemma,lemma(discharge,[]))).
% 50.07/33.03 tff(28713,plain,
% 50.07/33.03 (v90(constB27, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28712, 28643, 28644, 28654])).
% 50.07/33.03 tff(28714,plain,
% 50.07/33.03 (v90(constB26, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3974, 28713])).
% 50.07/33.03 tff(28715,plain,
% 50.07/33.03 (v100(constB26)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3982, 28714, 3819])).
% 50.07/33.03 tff(28716,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB25)) | v90(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB25)) | v90(constB25, 0))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28717,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB25)) | v90(constB25, 0))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28718,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB25)) | v90(constB25, 0)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28717, 28716])).
% 50.07/33.03 tff(28719,plain,
% 50.07/33.03 (~v124(constB25)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28718, 3169, 3819])).
% 50.07/33.03 tff(28720,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB25)) | v90(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB25)) | v90(constB25, 0))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28721,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB25)) | v90(constB25, 0))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28722,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB25)) | v90(constB25, 0)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28721, 28720])).
% 50.07/33.03 tff(28723,plain,
% 50.07/33.03 (~v120(constB25)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28722, 7947, 3819])).
% 50.07/33.03 tff(28724,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB25)) | v90(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB25)) | v90(constB25, 0))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28725,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB25)) | v90(constB25, 0))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28726,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB25)) | v90(constB25, 0)),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28725, 28724])).
% 50.07/33.03 tff(28727,plain,
% 50.07/33.03 (~v122(constB25)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28726, 7927, 3819])).
% 50.07/33.03 tff(28728,plain,
% 50.07/33.03 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28729,plain,
% 50.07/33.03 (((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0)) <=> ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28730,plain,
% 50.07/33.03 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26))))),
% 50.07/33.03 inference(monotonicity,[status(thm)],[28729])).
% 50.07/33.03 tff(28731,plain,
% 50.07/33.03 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 50.07/33.03 inference(transitivity,[status(thm)],[28730, 28728])).
% 50.07/33.03 tff(28732,plain,
% 50.07/33.03 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28733,plain,
% 50.07/33.03 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28732, 28731])).
% 50.07/33.03 tff(28734,plain,
% 50.07/33.03 (v129(constB26, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28733, 963, 28715, 28714])).
% 50.07/33.03 tff(28735,plain,
% 50.07/33.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28736,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28737,plain,
% 50.07/33.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28736, 28735])).
% 50.07/33.03 tff(28738,plain,
% 50.07/33.03 (v127(constB25, 0) | (~v129(constB26, 0))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28737, 948, 3615])).
% 50.07/33.03 tff(28739,plain,
% 50.07/33.03 (v127(constB25, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28738, 28734])).
% 50.07/33.03 tff(28740,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB25)) | (~v127(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB25)) | (~v127(constB25, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28741,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB25)) | (~v127(constB25, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28742,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB25)) | (~v127(constB25, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28741, 28740])).
% 50.07/33.03 tff(28743,plain,
% 50.07/33.03 (~v26(constB25)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28742, 3320, 28739])).
% 50.07/33.03 tff(28744,plain,
% 50.07/33.03 (v90(constB27, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28373, 28196, 28644])).
% 50.07/33.03 tff(28745,plain,
% 50.07/33.03 (v90(constB26, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3877, 28744])).
% 50.07/33.03 tff(28746,assumption,(v100(constB26)), introduced(assumption)).
% 50.07/33.03 tff(28747,plain,
% 50.07/33.03 ((~v90(constB26, 2)) | v129(constB26, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4012, 626, 28746])).
% 50.07/33.03 tff(28748,plain,
% 50.07/33.03 (v129(constB26, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28747, 28745])).
% 50.07/33.03 tff(28749,plain,
% 50.07/33.03 (v127(constB25, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4008, 28748])).
% 50.07/33.03 tff(28750,assumption,(~v26(constB25)), introduced(assumption)).
% 50.07/33.03 tff(28751,plain,
% 50.07/33.03 ((~v127(constB25, 2)) | v130(constB25, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4002, 593, 28750])).
% 50.07/33.03 tff(28752,plain,
% 50.07/33.03 (v130(constB25, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28751, 28749])).
% 50.07/33.03 tff(28753,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB25)) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB25)) | (~v130(constB25, 2)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28754,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB25)) | (~v130(constB25, 2)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28755,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB25)) | (~v130(constB25, 2))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 50.07/33.03 tff(28756,plain,
% 50.07/33.03 (~v121(constB25)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28755, 1090, 28752])).
% 50.07/33.03 tff(28757,plain,
% 50.07/33.03 (v90(constB26, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3924, 28259])).
% 50.07/33.03 tff(28758,plain,
% 50.07/33.03 ((~v90(constB26, 1)) | v129(constB26, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3989, 453, 28746])).
% 50.07/33.03 tff(28759,plain,
% 50.07/33.03 (v129(constB26, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28758, 28757])).
% 50.07/33.03 tff(28760,plain,
% 50.07/33.03 (v127(constB25, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3619, 28759])).
% 50.07/33.03 tff(28761,plain,
% 50.07/33.03 ((~v127(constB25, 1)) | v130(constB25, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3610, 408, 28750])).
% 50.07/33.03 tff(28762,plain,
% 50.07/33.03 (v130(constB25, 1)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28761, 28760])).
% 50.07/33.03 tff(28763,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB25)) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB25)) | (~v130(constB25, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28764,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB25)) | (~v130(constB25, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28765,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB25)) | (~v130(constB25, 1))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 50.07/33.03 tff(28766,plain,
% 50.07/33.03 (~v123(constB25)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28765, 1636, 28762])).
% 50.07/33.03 tff(28767,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB25)) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB25)) | (~v130(constB25, 1)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28768,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB25)) | (~v130(constB25, 1)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28769,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB25)) | (~v130(constB25, 1))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 50.07/33.03 tff(28770,plain,
% 50.07/33.03 (~v119(constB25)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28769, 394, 28762])).
% 50.07/33.03 tff(28771,plain,
% 50.07/33.03 (v119(constB25) | v121(constB25) | v123(constB25) | (~v130(constB25, 1))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3599, 2156, 3654, 3653, 3652])).
% 50.07/33.03 tff(28772,plain,
% 50.07/33.03 ($false),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28771, 28770, 28766, 28762, 28756])).
% 50.07/33.03 tff(28773,plain,(v100(constB28) | v124(constB25) | v122(constB25) | v120(constB25) | v26(constB25) | (~v100(constB26)) | (~v90(constB28, 2)) | (~v90(constB28, 1))), inference(lemma,lemma(discharge,[]))).
% 50.07/33.03 tff(28774,plain,
% 50.07/33.03 (v100(constB28)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28773, 28743, 28727, 28723, 28719, 28715, 28644, 28643])).
% 50.07/33.03 tff(28775,plain,
% 50.07/33.03 (v129(constB28, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28656, 28774])).
% 50.07/33.03 tff(28776,plain,
% 50.07/33.03 (v127(constB27, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4126, 28775])).
% 50.07/33.03 tff(28777,plain,
% 50.07/33.03 (~v26(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28661, 788, 28776])).
% 50.07/33.03 tff(28778,plain,
% 50.07/33.03 (v129(constB28, 0) | (~v100(constB28))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4365, 963, 28654])).
% 50.07/33.03 tff(28779,plain,
% 50.07/33.03 (v129(constB28, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28778, 28774])).
% 50.07/33.03 tff(28780,plain,
% 50.07/33.03 (v127(constB27, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4358, 28779])).
% 50.07/33.03 tff(28781,plain,
% 50.07/33.03 (v130(constB27, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4352, 930, 28780, 28777])).
% 50.07/33.03 tff(28782,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB27)) | (~v130(constB27, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28783,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB27)) | (~v130(constB27, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28784,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB27)) | (~v130(constB27, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28783, 28782])).
% 50.07/33.03 tff(28785,plain,
% 50.07/33.03 (~v124(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28784, 1909, 28781])).
% 50.07/33.03 tff(28786,plain,
% 50.07/33.03 (v130(constB27, 2)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4120, 593, 28776, 28777])).
% 50.07/33.03 tff(28787,plain,
% 50.07/33.03 (~v120(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[4113, 767, 28786])).
% 50.07/33.03 tff(28788,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB27)) | (~v130(constB27, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28789,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB27)) | (~v130(constB27, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28790,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB27)) | (~v130(constB27, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28789, 28788])).
% 50.07/33.03 tff(28791,plain,
% 50.07/33.03 (~v122(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28790, 1451, 28781])).
% 50.07/33.03 tff(28792,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB27)) | (~v90(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB27)) | (~v90(constB27, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28793,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB27)) | (~v90(constB27, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28794,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB27)) | (~v90(constB27, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28793, 28792])).
% 50.07/33.03 tff(28795,plain,
% 50.07/33.03 (~v119(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28794, 11366, 28713])).
% 50.07/33.03 tff(28796,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB27)) | (~v90(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB27)) | (~v90(constB27, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28797,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB27)) | (~v90(constB27, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28798,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB27)) | (~v90(constB27, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 50.07/33.03 tff(28799,plain,
% 50.07/33.03 (~v121(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28798, 25775, 28713])).
% 50.07/33.03 tff(28800,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB27)) | (~v90(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB27)) | (~v90(constB27, 0)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28801,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB27)) | (~v90(constB27, 0)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28802,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB27)) | (~v90(constB27, 0))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28801, 28800])).
% 50.07/33.03 tff(28803,plain,
% 50.07/33.03 (~v123(constB27)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28802, 12075, 28713])).
% 50.07/33.03 tff(28804,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2)))),
% 50.07/33.03 inference(rewrite,[status(thm)],[])).
% 50.07/33.03 tff(28805,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2)))),
% 50.07/33.03 inference(quant_inst,[status(thm)],[])).
% 50.07/33.03 tff(28806,plain,
% 50.07/33.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2))),
% 50.07/33.03 inference(modus_ponens,[status(thm)],[28805, 28804])).
% 50.07/33.03 tff(28807,plain,
% 50.07/33.03 (v120(constB27) | v122(constB27) | v124(constB27) | (~v130(constB27, 2))),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28806, 2097, 28803, 28799, 28795])).
% 50.07/33.03 tff(28808,plain,
% 50.07/33.03 ($false),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28807, 28791, 28787, 28786, 28785])).
% 50.07/33.03 tff(28809,plain,(v100(constB30) | (~v90(constB28, 2)) | v90(constB25, 0) | (~v90(constB30, 1)) | (~v90(constB30, 0))), inference(lemma,lemma(discharge,[]))).
% 50.07/33.03 tff(28810,plain,
% 50.07/33.03 (v90(constB25, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28809, 28624, 28608, 28366, 28616])).
% 50.07/33.03 tff(28811,plain,
% 50.07/33.03 (v90(constB24, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3637, 28810])).
% 50.07/33.03 tff(28812,plain,
% 50.07/33.03 (~v120(constB23)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[3496, 28811])).
% 50.07/33.03 tff(28813,assumption,(v90(constB25, 0)), introduced(assumption)).
% 50.07/33.03 tff(28814,plain,
% 50.07/33.03 (v90(constB27, 0)),
% 50.07/33.03 inference(unit_resolution,[status(thm)],[28712, 28260, 28644, 28251])).
% 50.07/33.03 tff(28815,assumption,(v122(constB21)), introduced(assumption)).
% 50.07/33.03 tff(28816,plain,
% 50.07/33.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB21)) | v116(constB21))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28817,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB21)) | v116(constB21))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28818,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB21)) | v116(constB21)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28817, 28816])).
% 50.07/33.04 tff(28819,plain,
% 50.07/33.04 (v116(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28818, 1236, 28815])).
% 50.07/33.04 tff(28820,plain,
% 50.07/33.04 (v115(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2969, 238, 28819])).
% 50.07/33.04 tff(28821,plain,
% 50.07/33.04 (v114(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2962, 252, 28820])).
% 50.07/33.04 tff(28822,plain,
% 50.07/33.04 (v113(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2955, 266, 28821])).
% 50.07/33.04 tff(28823,plain,
% 50.07/33.04 (v108(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2951, 28822])).
% 50.07/33.04 tff(28824,plain,
% 50.07/33.04 (v110(constB22)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2928, 28823])).
% 50.07/33.04 tff(28825,plain,
% 50.07/33.04 (v100(constB22)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2920, 28824])).
% 50.07/33.04 tff(28826,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB21)) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB21)) | v130(constB21, 2))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28827,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB21)) | v130(constB21, 2))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28828,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB21)) | v130(constB21, 2)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28827, 28826])).
% 50.07/33.04 tff(28829,plain,
% 50.07/33.04 (v130(constB21, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28828, 1314, 28815])).
% 50.07/33.04 tff(28830,plain,
% 50.07/33.04 (v127(constB21, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3124, 28829])).
% 50.07/33.04 tff(28831,plain,
% 50.07/33.04 (v129(constB22, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3129, 28830])).
% 50.07/33.04 tff(28832,plain,
% 50.07/33.04 (v90(constB22, 2) | (~v100(constB22))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3136, 1358, 28831])).
% 50.07/33.04 tff(28833,plain,
% 50.07/33.04 (v90(constB22, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28832, 28825])).
% 50.07/33.04 tff(28834,plain,
% 50.07/33.04 (v90(constB23, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3146, 28833])).
% 50.07/33.04 tff(28835,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB21)) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB21)) | (~v130(constB21, 1)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28836,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB21)) | (~v130(constB21, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28837,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB21)) | (~v130(constB21, 1))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28836, 28835])).
% 50.07/33.04 tff(28838,plain,
% 50.07/33.04 (~v130(constB21, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28837, 1410, 28815])).
% 50.07/33.04 tff(28839,plain,
% 50.07/33.04 (~v127(constB21, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2884, 28838])).
% 50.07/33.04 tff(28840,plain,
% 50.07/33.04 (~v129(constB22, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[2892, 28839])).
% 50.07/33.04 tff(28841,plain,
% 50.07/33.04 ((~v90(constB22, 1)) | (~v100(constB22))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3087, 453, 28840])).
% 50.07/33.04 tff(28842,plain,
% 50.07/33.04 (~v90(constB22, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28841, 28825])).
% 50.07/33.04 tff(28843,plain,
% 50.07/33.04 (~v90(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3115, 28842])).
% 50.07/33.04 tff(28844,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB21)) | (~v130(constB21, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB21)) | (~v130(constB21, 0)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28845,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB21)) | (~v130(constB21, 0)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28846,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB21)) | (~v130(constB21, 0))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28845, 28844])).
% 50.07/33.04 tff(28847,plain,
% 50.07/33.04 (~v130(constB21, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28846, 1451, 28815])).
% 50.07/33.04 tff(28848,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28849,plain,
% 50.07/33.04 ((v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0))) <=> ((~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28850,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0)))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[28849])).
% 50.07/33.04 tff(28851,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))),
% 50.07/33.04 inference(transitivity,[status(thm)],[28850, 28848])).
% 50.07/33.04 tff(28852,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28853,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28852, 28851])).
% 50.07/33.04 tff(28854,plain,
% 50.07/33.04 ((~v127(constB21, 0)) | v130(constB21, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28853, 930, 2877])).
% 50.07/33.04 tff(28855,plain,
% 50.07/33.04 (~v127(constB21, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28854, 28847])).
% 50.07/33.04 tff(28856,plain,
% 50.07/33.04 (~v129(constB22, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3312, 28855])).
% 50.07/33.04 tff(28857,plain,
% 50.07/33.04 ((~v90(constB22, 0)) | (~v100(constB22))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3307, 963, 28856])).
% 50.07/33.04 tff(28858,plain,
% 50.07/33.04 (~v90(constB22, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28857, 28825])).
% 50.07/33.04 tff(28859,plain,
% 50.07/33.04 (~v90(constB23, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3288, 28858])).
% 50.07/33.04 tff(28860,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28861,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28862,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 50.07/33.04 tff(28863,plain,
% 50.07/33.04 (v123(constB23)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28862, 1495, 28859, 28843, 28834])).
% 50.07/33.04 tff(28864,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB23)) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB23)) | v130(constB23, 2))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28865,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB23)) | v130(constB23, 2))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28866,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB23)) | v130(constB23, 2)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28865, 28864])).
% 50.07/33.04 tff(28867,plain,
% 50.07/33.04 (v130(constB23, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28866, 1580, 28863])).
% 50.07/33.04 tff(28868,plain,
% 50.07/33.04 (v127(constB23, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3557, 28867])).
% 50.07/33.04 tff(28869,plain,
% 50.07/33.04 (v129(constB24, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3562, 28868])).
% 50.07/33.04 tff(28870,plain,
% 50.07/33.04 (v90(constB24, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3637, 28813])).
% 50.07/33.04 tff(28871,plain,
% 50.07/33.04 (v100(constB24)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3279, 28859, 28870])).
% 50.07/33.04 tff(28872,plain,
% 50.07/33.04 (v90(constB24, 2) | (~v129(constB24, 2))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3569, 1358, 28871])).
% 50.07/33.04 tff(28873,plain,
% 50.07/33.04 (v90(constB24, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28872, 28869])).
% 50.07/33.04 tff(28874,plain,
% 50.07/33.04 (v90(constB25, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3579, 28873])).
% 50.07/33.04 tff(28875,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB23)) | (~v130(constB23, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB23)) | (~v130(constB23, 1)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28876,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB23)) | (~v130(constB23, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28877,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB23)) | (~v130(constB23, 1))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28876, 28875])).
% 50.07/33.04 tff(28878,plain,
% 50.07/33.04 (~v130(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28877, 1636, 28863])).
% 50.07/33.04 tff(28879,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28880,plain,
% 50.07/33.04 ((v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1))) <=> ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28881,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1)))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[28880])).
% 50.07/33.04 tff(28882,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 50.07/33.04 inference(transitivity,[status(thm)],[28881, 28879])).
% 50.07/33.04 tff(28883,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28884,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28883, 28882])).
% 50.07/33.04 tff(28885,plain,
% 50.07/33.04 ((~v127(constB23, 1)) | v130(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28884, 408, 3237])).
% 50.07/33.04 tff(28886,plain,
% 50.07/33.04 (~v127(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28885, 28878])).
% 50.07/33.04 tff(28887,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28888,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28889,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28888, 28887])).
% 50.07/33.04 tff(28890,plain,
% 50.07/33.04 (v127(constB23, 1) | (~v129(constB24, 1))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28889, 438, 3245])).
% 50.07/33.04 tff(28891,plain,
% 50.07/33.04 (~v129(constB24, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28890, 28886])).
% 50.07/33.04 tff(28892,plain,
% 50.07/33.04 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28893,plain,
% 50.07/33.04 (((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1)) <=> ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28894,plain,
% 50.07/33.04 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24))))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[28893])).
% 50.07/33.04 tff(28895,plain,
% 50.07/33.04 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 50.07/33.04 inference(transitivity,[status(thm)],[28894, 28892])).
% 50.07/33.04 tff(28896,plain,
% 50.07/33.04 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28897,plain,
% 50.07/33.04 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28896, 28895])).
% 50.07/33.04 tff(28898,plain,
% 50.07/33.04 ((~v90(constB24, 1)) | v129(constB24, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28897, 453, 28871])).
% 50.07/33.04 tff(28899,plain,
% 50.07/33.04 (~v90(constB24, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28898, 28891])).
% 50.07/33.04 tff(28900,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28901,plain,
% 50.07/33.04 (((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1))) <=> (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28902,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1))))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[28901])).
% 50.07/33.04 tff(28903,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 50.07/33.04 inference(transitivity,[status(thm)],[28902, 28900])).
% 50.07/33.04 tff(28904,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28905,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 50.07/33.04 tff(28906,plain,
% 50.07/33.04 (v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28905, 143, 3520])).
% 50.07/33.04 tff(28907,plain,
% 50.07/33.04 (v90(constB24, 1) | (~v90(constB25, 1))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28906, 3532])).
% 50.07/33.04 tff(28908,plain,
% 50.07/33.04 (~v90(constB25, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28907, 28899])).
% 50.07/33.04 tff(28909,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28910,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28911,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28910, 28909])).
% 50.07/33.04 tff(28912,plain,
% 50.07/33.04 (v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28911, 1718, 28813])).
% 50.07/33.04 tff(28913,plain,
% 50.07/33.04 (v124(constB25)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28912, 28874, 28908])).
% 50.07/33.04 tff(28914,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB25)) | (~v130(constB25, 0)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28915,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB25)) | (~v130(constB25, 0)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28916,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB25)) | (~v130(constB25, 0))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28915, 28914])).
% 50.07/33.04 tff(28917,plain,
% 50.07/33.04 (~v130(constB25, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28916, 1909, 28913])).
% 50.07/33.04 tff(28918,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28919,plain,
% 50.07/33.04 ((v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0))) <=> ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28920,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0)))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[28919])).
% 50.07/33.04 tff(28921,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 50.07/33.04 inference(transitivity,[status(thm)],[28920, 28918])).
% 50.07/33.04 tff(28922,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28923,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 50.07/33.04 tff(28924,plain,
% 50.07/33.04 ((~v127(constB25, 0)) | v130(constB25, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28923, 930, 3604])).
% 50.07/33.04 tff(28925,plain,
% 50.07/33.04 (~v127(constB25, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28924, 28917])).
% 50.07/33.04 tff(28926,plain,
% 50.07/33.04 (~v129(constB26, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28738, 28925])).
% 50.07/33.04 tff(28927,assumption,(v90(constB27, 0)), introduced(assumption)).
% 50.07/33.04 tff(28928,plain,
% 50.07/33.04 (v90(constB26, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3974, 28927])).
% 50.07/33.04 tff(28929,plain,
% 50.07/33.04 (v129(constB26, 0) | (~v100(constB26))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28733, 963, 28928])).
% 50.07/33.04 tff(28930,plain,
% 50.07/33.04 (~v100(constB26)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28929, 28926])).
% 50.07/33.04 tff(28931,plain,
% 50.07/33.04 (v90(constB26, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3808, 28930, 28874])).
% 50.07/33.04 tff(28932,plain,
% 50.07/33.04 (v90(constB27, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3790, 28931])).
% 50.07/33.04 tff(28933,plain,
% 50.07/33.04 (~v90(constB26, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3932, 28930, 28908])).
% 50.07/33.04 tff(28934,plain,
% 50.07/33.04 (~v90(constB27, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3924, 28933])).
% 50.07/33.04 tff(28935,plain,
% 50.07/33.04 (v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28505, 1718, 28927])).
% 50.07/33.04 tff(28936,plain,
% 50.07/33.04 (v124(constB27)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28935, 28934, 28932])).
% 50.07/33.04 tff(28937,plain,
% 50.07/33.04 (v100(constB28)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28258, 28934, 28251])).
% 50.07/33.04 tff(28938,plain,
% 50.07/33.04 (v129(constB28, 0) | (~v100(constB28))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[4365, 963, 28260])).
% 50.07/33.04 tff(28939,plain,
% 50.07/33.04 (v129(constB28, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28938, 28937])).
% 50.07/33.04 tff(28940,plain,
% 50.07/33.04 (v127(constB27, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[4358, 28939])).
% 50.07/33.04 tff(28941,plain,
% 50.07/33.04 (v130(constB27, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[4353, 28940])).
% 50.07/33.04 tff(28942,plain,
% 50.07/33.04 ($false),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28784, 1909, 28941, 28936])).
% 50.07/33.04 tff(28943,plain,((~v122(constB21)) | (~v90(constB28, 0)) | (~v90(constB27, 0)) | (~v90(constB28, 1)) | (~v90(constB25, 0))), inference(lemma,lemma(discharge,[]))).
% 50.07/33.04 tff(28944,plain,
% 50.07/33.04 (~v122(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28943, 28260, 28814, 28251, 28813])).
% 50.07/33.04 tff(28945,assumption,(~v90(constB23, 0)), introduced(assumption)).
% 50.07/33.04 tff(28946,plain,
% 50.07/33.04 (~v90(constB22, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3223, 28945])).
% 50.07/33.04 tff(28947,plain,
% 50.07/33.04 (v100(constB22)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3070, 2982])).
% 50.07/33.04 tff(28948,assumption,(~v90(constB22, 0)), introduced(assumption)).
% 50.07/33.04 tff(28949,plain,
% 50.07/33.04 ((~v129(constB22, 0)) | (~v100(constB22))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3213, 545, 28948])).
% 50.07/33.04 tff(28950,plain,
% 50.07/33.04 (~v129(constB22, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28949, 28947])).
% 50.07/33.04 tff(28951,plain,
% 50.07/33.04 (~v127(constB21, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3206, 28950])).
% 50.07/33.04 tff(28952,plain,
% 50.07/33.04 (~v130(constB21, 0)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3201, 28951])).
% 50.07/33.04 tff(28953,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB21)) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB21)) | v130(constB21, 0))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28954,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB21)) | v130(constB21, 0))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28955,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB21)) | v130(constB21, 0)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28954, 28953])).
% 50.07/33.04 tff(28956,plain,
% 50.07/33.04 (~v121(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28955, 1184, 28952])).
% 50.07/33.04 tff(28957,plain,
% 50.07/33.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28958,plain,
% 50.07/33.04 ((v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1))) <=> (v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28959,plain,
% 50.07/33.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22))))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[28958])).
% 50.07/33.04 tff(28960,plain,
% 50.07/33.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))),
% 50.07/33.04 inference(transitivity,[status(thm)],[28959, 28957])).
% 50.07/33.04 tff(28961,plain,
% 50.07/33.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28962,plain,
% 50.07/33.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 50.07/33.04 tff(28963,plain,
% 50.07/33.04 (~v129(constB22, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28962, 882, 28947, 2982])).
% 50.07/33.04 tff(28964,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28965,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28966,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28965, 28964])).
% 50.07/33.04 tff(28967,plain,
% 50.07/33.04 ((~v127(constB21, 1)) | v129(constB22, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28966, 867, 2888])).
% 50.07/33.04 tff(28968,plain,
% 50.07/33.04 (~v127(constB21, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28967, 28963])).
% 50.07/33.04 tff(28969,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28970,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28971,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 50.07/33.04 tff(28972,plain,
% 50.07/33.04 ((~v130(constB21, 1)) | v127(constB21, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28971, 852, 2877])).
% 50.07/33.04 tff(28973,plain,
% 50.07/33.04 (~v130(constB21, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28972, 28968])).
% 50.07/33.04 tff(28974,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB21)) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB21)) | v130(constB21, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28975,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB21)) | v130(constB21, 1))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28976,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB21)) | v130(constB21, 1)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28975, 28974])).
% 50.07/33.04 tff(28977,plain,
% 50.07/33.04 (~v124(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28976, 1871, 28973])).
% 50.07/33.04 tff(28978,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB21)) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB21)) | v130(constB21, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28979,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB21)) | v130(constB21, 1))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28980,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB21)) | v130(constB21, 1)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28979, 28978])).
% 50.07/33.04 tff(28981,plain,
% 50.07/33.04 (~v120(constB21)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28980, 838, 28973])).
% 50.07/33.04 tff(28982,plain,
% 50.07/33.04 ($false),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3196, 28981, 28977, 3179, 28952, 28956])).
% 50.07/33.04 tff(28983,plain,(v90(constB22, 1) | v122(constB21) | v90(constB22, 0)), inference(lemma,lemma(discharge,[]))).
% 50.07/33.04 tff(28984,plain,
% 50.07/33.04 (v90(constB22, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28983, 28946, 28944])).
% 50.07/33.04 tff(28985,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28986,plain,
% 50.07/33.04 (((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1)) <=> ((~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28987,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1)))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[28986])).
% 50.07/33.04 tff(28988,plain,
% 50.07/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))),
% 50.07/33.04 inference(transitivity,[status(thm)],[28987, 28985])).
% 50.07/33.04 tff(28989,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28990,plain,
% 50.07/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28989, 28988])).
% 50.07/33.04 tff(28991,plain,
% 50.07/33.04 ((~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28990, 900, 3095])).
% 50.07/33.04 tff(28992,plain,
% 50.07/33.04 ((~v90(constB22, 1)) | v90(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28991, 3107])).
% 50.07/33.04 tff(28993,plain,
% 50.07/33.04 (v90(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28992, 28984])).
% 50.07/33.04 tff(28994,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB23)) | (~v90(constB23, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB23)) | (~v90(constB23, 1)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28995,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB23)) | (~v90(constB23, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(28996,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB23)) | (~v90(constB23, 1))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28995, 28994])).
% 50.07/33.04 tff(28997,plain,
% 50.07/33.04 (~v119(constB23)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[28996, 2050, 28993])).
% 50.07/33.04 tff(28998,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB23)) | (~v90(constB23, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB23)) | (~v90(constB23, 1)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(28999,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB23)) | (~v90(constB23, 1)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(29000,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB23)) | (~v90(constB23, 1))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[28999, 28998])).
% 50.07/33.04 tff(29001,plain,
% 50.07/33.04 (~v123(constB23)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[29000, 2072, 28993])).
% 50.07/33.04 tff(29002,plain,
% 50.07/33.04 (v100(constB24)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3279, 28945, 28870])).
% 50.07/33.04 tff(29003,assumption,(v121(constB23)), introduced(assumption)).
% 50.07/33.04 tff(29004,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB23)) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB23)) | v130(constB23, 1))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(29005,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB23)) | v130(constB23, 1))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(29006,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB23)) | v130(constB23, 1)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[29005, 29004])).
% 50.07/33.04 tff(29007,plain,
% 50.07/33.04 (v130(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[29006, 1146, 29003])).
% 50.07/33.04 tff(29008,plain,
% 50.07/33.04 (v127(constB23, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3241, 29007])).
% 50.07/33.04 tff(29009,plain,
% 50.07/33.04 (v129(constB24, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3249, 29008])).
% 50.07/33.04 tff(29010,assumption,(v100(constB24)), introduced(assumption)).
% 50.07/33.04 tff(29011,plain,
% 50.07/33.04 (v90(constB24, 1) | (~v129(constB24, 1))),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3512, 882, 29010])).
% 50.07/33.04 tff(29012,plain,
% 50.07/33.04 (v90(constB24, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[29011, 29009])).
% 50.07/33.04 tff(29013,plain,
% 50.07/33.04 (v90(constB25, 1)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[3540, 29012])).
% 50.07/33.04 tff(29014,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB23)) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB23)) | (~v130(constB23, 2)))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(29015,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB23)) | (~v130(constB23, 2)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(29016,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB23)) | (~v130(constB23, 2))),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 50.07/33.04 tff(29017,plain,
% 50.07/33.04 (~v130(constB23, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[29016, 1090, 29003])).
% 50.07/33.04 tff(29018,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(29019,plain,
% 50.07/33.04 ((v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2))) <=> ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 50.07/33.04 inference(rewrite,[status(thm)],[])).
% 50.07/33.04 tff(29020,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2)))),
% 50.07/33.04 inference(monotonicity,[status(thm)],[29019])).
% 50.07/33.04 tff(29021,plain,
% 50.07/33.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 50.07/33.04 inference(transitivity,[status(thm)],[29020, 29018])).
% 50.07/33.04 tff(29022,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))),
% 50.07/33.04 inference(quant_inst,[status(thm)],[])).
% 50.07/33.04 tff(29023,plain,
% 50.07/33.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2)),
% 50.07/33.04 inference(modus_ponens,[status(thm)],[29022, 29021])).
% 50.07/33.04 tff(29024,plain,
% 50.07/33.04 ((~v127(constB23, 2)) | v130(constB23, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[29023, 593, 3237])).
% 50.07/33.04 tff(29025,plain,
% 50.07/33.04 (~v127(constB23, 2)),
% 50.07/33.04 inference(unit_resolution,[status(thm)],[29024, 29017])).
% 50.12/33.04 tff(29026,plain,
% 50.12/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))),
% 50.12/33.04 inference(rewrite,[status(thm)],[])).
% 50.12/33.04 tff(29027,plain,
% 50.12/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))),
% 50.12/33.04 inference(quant_inst,[status(thm)],[])).
% 50.12/33.04 tff(29028,plain,
% 50.12/33.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2))),
% 50.12/33.04 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 50.12/33.04 tff(29029,plain,
% 50.12/33.04 (v127(constB23, 2) | (~v129(constB24, 2))),
% 50.12/33.04 inference(unit_resolution,[status(thm)],[29028, 611, 3245])).
% 50.12/33.04 tff(29030,plain,
% 50.12/33.04 (~v129(constB24, 2)),
% 50.12/33.04 inference(unit_resolution,[status(thm)],[29029, 29025])).
% 50.12/33.04 tff(29031,plain,
% 50.12/33.04 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))),
% 50.12/33.04 inference(rewrite,[status(thm)],[])).
% 50.12/33.04 tff(29032,plain,
% 50.12/33.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))),
% 50.12/33.04 inference(quant_inst,[status(thm)],[])).
% 50.12/33.04 tff(29033,plain,
% 50.12/33.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24))),
% 50.12/33.04 inference(modus_ponens,[status(thm)],[29032, 29031])).
% 50.12/33.04 tff(29034,plain,
% 50.12/33.04 ((~v90(constB24, 2)) | v129(constB24, 2)),
% 50.12/33.04 inference(unit_resolution,[status(thm)],[29033, 626, 29010])).
% 50.12/33.04 tff(29035,plain,
% 50.12/33.04 (~v90(constB24, 2)),
% 50.12/33.04 inference(unit_resolution,[status(thm)],[29034, 29030])).
% 50.12/33.04 tff(29036,plain,
% 50.12/33.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 50.12/33.04 inference(rewrite,[status(thm)],[])).
% 50.12/33.04 tff(29037,plain,
% 50.12/33.04 (((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2))) <=> (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29038,plain,
% 50.12/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2))))),
% 50.12/33.05 inference(monotonicity,[status(thm)],[29037])).
% 50.12/33.05 tff(29039,plain,
% 50.12/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 50.12/33.05 inference(transitivity,[status(thm)],[29038, 29036])).
% 50.12/33.05 tff(29040,plain,
% 50.12/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29041,plain,
% 50.12/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29040, 29039])).
% 50.12/33.05 tff(29042,plain,
% 50.12/33.05 (v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29041, 122, 3520])).
% 50.12/33.05 tff(29043,plain,
% 50.12/33.05 (v90(constB24, 2) | (~v90(constB25, 2))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29042, 3532])).
% 50.12/33.05 tff(29044,plain,
% 50.12/33.05 (~v90(constB25, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29043, 29035])).
% 50.12/33.05 tff(29045,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29046,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29047,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29046, 29045])).
% 50.12/33.05 tff(29048,plain,
% 50.12/33.05 ((~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29047, 1225, 28813])).
% 50.12/33.05 tff(29049,plain,
% 50.12/33.05 (v122(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29048, 29044, 29013])).
% 50.12/33.05 tff(29050,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB25)) | (~v130(constB25, 0)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29051,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB25)) | (~v130(constB25, 0)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29052,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB25)) | (~v130(constB25, 0))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 50.12/33.05 tff(29053,plain,
% 50.12/33.05 (~v130(constB25, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29052, 1451, 29049])).
% 50.12/33.05 tff(29054,plain,
% 50.12/33.05 (~v127(constB25, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28924, 29053])).
% 50.12/33.05 tff(29055,plain,
% 50.12/33.05 (~v129(constB26, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28738, 29054])).
% 50.12/33.05 tff(29056,plain,
% 50.12/33.05 (~v100(constB26)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28929, 29055])).
% 50.12/33.05 tff(29057,plain,
% 50.12/33.05 (v90(constB26, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3817, 29056, 29013])).
% 50.12/33.05 tff(29058,plain,
% 50.12/33.05 (v90(constB27, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3866, 29057])).
% 50.12/33.05 tff(29059,plain,
% 50.12/33.05 (~v90(constB26, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3885, 29056, 29044])).
% 50.12/33.05 tff(29060,plain,
% 50.12/33.05 (~v90(constB27, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3877, 29059])).
% 50.12/33.05 tff(29061,plain,
% 50.12/33.05 ((~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28271, 1225, 28927])).
% 50.12/33.05 tff(29062,plain,
% 50.12/33.05 (v122(constB27)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29061, 29060, 29058])).
% 50.12/33.05 tff(29063,plain,
% 50.12/33.05 (v100(constB28)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28373, 29060, 28644])).
% 50.12/33.05 tff(29064,plain,
% 50.12/33.05 (v129(constB28, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28938, 29063])).
% 50.12/33.05 tff(29065,plain,
% 50.12/33.05 (v127(constB27, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4358, 29064])).
% 50.12/33.05 tff(29066,plain,
% 50.12/33.05 (v130(constB27, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4353, 29065])).
% 50.12/33.05 tff(29067,plain,
% 50.12/33.05 ($false),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28790, 1451, 29066, 29062])).
% 50.12/33.05 tff(29068,plain,((~v121(constB23)) | (~v90(constB28, 0)) | (~v90(constB27, 0)) | (~v90(constB28, 2)) | (~v90(constB25, 0)) | (~v100(constB24))), inference(lemma,lemma(discharge,[]))).
% 50.12/33.05 tff(29069,plain,
% 50.12/33.05 (~v121(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29068, 29002, 28814, 28644, 28813, 28260])).
% 50.12/33.05 tff(29070,plain,
% 50.12/33.05 (v129(constB24, 0) | (~v100(constB24))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3472, 963, 28870])).
% 50.12/33.05 tff(29071,plain,
% 50.12/33.05 (v129(constB24, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29070, 29002])).
% 50.12/33.05 tff(29072,plain,
% 50.12/33.05 (v127(constB23, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3478, 29071])).
% 50.12/33.05 tff(29073,plain,
% 50.12/33.05 (v130(constB23, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3625, 29072])).
% 50.12/33.05 tff(29074,plain,
% 50.12/33.05 (~v124(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3623, 1909, 29073])).
% 50.12/33.05 tff(29075,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB23)) | (~v130(constB23, 0)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29076,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB23)) | (~v130(constB23, 0)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29077,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB23)) | (~v130(constB23, 0))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29076, 29075])).
% 50.12/33.05 tff(29078,plain,
% 50.12/33.05 (~v122(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29077, 1451, 29073])).
% 50.12/33.05 tff(29079,plain,
% 50.12/33.05 (~v120(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3496, 28870])).
% 50.12/33.05 tff(29080,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29081,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29082,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29081, 29080])).
% 50.12/33.05 tff(29083,plain,
% 50.12/33.05 (v119(constB23) | v121(constB23) | v123(constB23) | (~v130(constB23, 1))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29082, 2156, 29079, 29078, 29074])).
% 50.12/33.05 tff(29084,plain,
% 50.12/33.05 (~v130(constB23, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29083, 29069, 29001, 28997])).
% 50.12/33.05 tff(29085,plain,
% 50.12/33.05 (~v127(constB23, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28885, 29084])).
% 50.12/33.05 tff(29086,plain,
% 50.12/33.05 (~v129(constB24, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28890, 29085])).
% 50.12/33.05 tff(29087,plain,
% 50.12/33.05 ((~v90(constB24, 1)) | v129(constB24, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28897, 453, 29002])).
% 50.12/33.05 tff(29088,plain,
% 50.12/33.05 (~v90(constB24, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29087, 29086])).
% 50.12/33.05 tff(29089,plain,
% 50.12/33.05 (~v90(constB25, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28907, 29088])).
% 50.12/33.05 tff(29090,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29091,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29092,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29091, 29090])).
% 50.12/33.05 tff(29093,plain,
% 50.12/33.05 (v119(constB23) | v121(constB23) | v123(constB23) | (~v130(constB23, 2))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29092, 2097, 29079, 29078, 29074])).
% 50.12/33.05 tff(29094,plain,
% 50.12/33.05 (~v130(constB23, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29093, 29069, 29001, 28997])).
% 50.12/33.05 tff(29095,plain,
% 50.12/33.05 (~v127(constB23, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29024, 29094])).
% 50.12/33.05 tff(29096,plain,
% 50.12/33.05 (~v129(constB24, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29029, 29095])).
% 50.12/33.05 tff(29097,plain,
% 50.12/33.05 ((~v90(constB24, 2)) | v129(constB24, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29033, 626, 29002])).
% 50.12/33.05 tff(29098,plain,
% 50.12/33.05 (~v90(constB24, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29097, 29096])).
% 50.12/33.05 tff(29099,plain,
% 50.12/33.05 (~v90(constB25, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29043, 29098])).
% 50.12/33.05 tff(29100,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29101,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29102,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29101, 29100])).
% 50.12/33.05 tff(29103,plain,
% 50.12/33.05 (v90(constB25, 1) | v90(constB25, 2) | v120(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29102, 651, 28813])).
% 50.12/33.05 tff(29104,plain,
% 50.12/33.05 (v120(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29103, 29099, 29089])).
% 50.12/33.05 tff(29105,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB25)) | (~v130(constB25, 0)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29106,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB25)) | (~v130(constB25, 0)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29107,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB25)) | (~v130(constB25, 0))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29106, 29105])).
% 50.12/33.05 tff(29108,plain,
% 50.12/33.05 (~v130(constB25, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29107, 916, 29104])).
% 50.12/33.05 tff(29109,plain,
% 50.12/33.05 (~v127(constB25, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28924, 29108])).
% 50.12/33.05 tff(29110,plain,
% 50.12/33.05 (~v129(constB26, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28738, 29109])).
% 50.12/33.05 tff(29111,plain,
% 50.12/33.05 (v90(constB26, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3974, 28814])).
% 50.12/33.05 tff(29112,plain,
% 50.12/33.05 (v129(constB26, 0) | (~v100(constB26))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28733, 963, 29111])).
% 50.12/33.05 tff(29113,plain,
% 50.12/33.05 (~v100(constB26)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29112, 29110])).
% 50.12/33.05 tff(29114,plain,
% 50.12/33.05 (~v90(constB26, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3932, 29113, 29089])).
% 50.12/33.05 tff(29115,plain,
% 50.12/33.05 (~v90(constB27, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3924, 29114])).
% 50.12/33.05 tff(29116,plain,
% 50.12/33.05 (~v90(constB26, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3885, 29113, 29099])).
% 50.12/33.05 tff(29117,plain,
% 50.12/33.05 (~v90(constB27, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3877, 29116])).
% 50.12/33.05 tff(29118,plain,
% 50.12/33.05 (v90(constB27, 1) | v90(constB27, 2) | v120(constB27)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4018, 651, 28814])).
% 50.12/33.05 tff(29119,plain,
% 50.12/33.05 (v120(constB27)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29118, 29117, 29115])).
% 50.12/33.05 tff(29120,plain,
% 50.12/33.05 (v100(constB28)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28258, 29115, 28251])).
% 50.12/33.05 tff(29121,plain,
% 50.12/33.05 (v129(constB28, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28938, 29120])).
% 50.12/33.05 tff(29122,plain,
% 50.12/33.05 (v127(constB27, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4358, 29121])).
% 50.12/33.05 tff(29123,plain,
% 50.12/33.05 (v130(constB27, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4353, 29122])).
% 50.12/33.05 tff(29124,plain,
% 50.12/33.05 ($false),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4345, 916, 29123, 29119])).
% 50.12/33.05 tff(29125,plain,(v90(constB23, 0) | (~v90(constB28, 0)) | (~v90(constB28, 1)) | (~v90(constB25, 0)) | (~v90(constB28, 2))), inference(lemma,lemma(discharge,[]))).
% 50.12/33.05 tff(29126,plain,
% 50.12/33.05 (v90(constB23, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29125, 28810, 28366, 28508, 28401])).
% 50.12/33.05 tff(29127,plain,
% 50.12/33.05 (v90(constB22, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3288, 29126])).
% 50.12/33.05 tff(29128,plain,
% 50.12/33.05 (v100(constB22)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3296, 28195, 29127])).
% 50.12/33.05 tff(29129,assumption,(v119(constB21)), introduced(assumption)).
% 50.12/33.05 tff(29130,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB21)) | (~v130(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB21)) | (~v130(constB21, 2)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29131,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB21)) | (~v130(constB21, 2)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29132,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB21)) | (~v130(constB21, 2))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 50.12/33.05 tff(29133,plain,
% 50.12/33.05 (~v130(constB21, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29132, 579, 29129])).
% 50.12/33.05 tff(29134,assumption,(~v26(constB21)), introduced(assumption)).
% 50.12/33.05 tff(29135,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29136,plain,
% 50.12/33.05 ((v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2))) <=> ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29137,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2)))),
% 50.12/33.05 inference(monotonicity,[status(thm)],[29136])).
% 50.12/33.05 tff(29138,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 50.12/33.05 inference(transitivity,[status(thm)],[29137, 29135])).
% 50.12/33.05 tff(29139,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29140,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29139, 29138])).
% 50.12/33.05 tff(29141,plain,
% 50.12/33.05 ((~v127(constB21, 2)) | v130(constB21, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29140, 593, 29134])).
% 50.12/33.05 tff(29142,plain,
% 50.12/33.05 (~v127(constB21, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29141, 29133])).
% 50.12/33.05 tff(29143,plain,
% 50.12/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29144,plain,
% 50.12/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29145,plain,
% 50.12/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 50.12/33.05 tff(29146,plain,
% 50.12/33.05 (v127(constB21, 2) | (~v129(constB22, 2))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29145, 611, 2888])).
% 50.12/33.05 tff(29147,plain,
% 50.12/33.05 (~v129(constB22, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29146, 29142])).
% 50.12/33.05 tff(29148,assumption,(v100(constB22)), introduced(assumption)).
% 50.12/33.05 tff(29149,plain,
% 50.12/33.05 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29150,plain,
% 50.12/33.05 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29151,plain,
% 50.12/33.05 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29150, 29149])).
% 50.12/33.05 tff(29152,plain,
% 50.12/33.05 ((~v90(constB22, 2)) | v129(constB22, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29151, 626, 29148])).
% 50.12/33.05 tff(29153,plain,
% 50.12/33.05 (~v90(constB22, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29152, 29147])).
% 50.12/33.05 tff(29154,plain,
% 50.12/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29155,plain,
% 50.12/33.05 (((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2))) <=> (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29156,plain,
% 50.12/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2))))),
% 50.12/33.05 inference(monotonicity,[status(thm)],[29155])).
% 50.12/33.05 tff(29157,plain,
% 50.12/33.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 50.12/33.05 inference(transitivity,[status(thm)],[29156, 29154])).
% 50.12/33.05 tff(29158,plain,
% 50.12/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29159,plain,
% 50.12/33.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29158, 29157])).
% 50.12/33.05 tff(29160,plain,
% 50.12/33.05 (v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29159, 122, 3095])).
% 50.12/33.05 tff(29161,plain,
% 50.12/33.05 (v90(constB22, 2) | (~v90(constB23, 2))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29160, 3107])).
% 50.12/33.05 tff(29162,plain,
% 50.12/33.05 (~v90(constB23, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29161, 29153])).
% 50.12/33.05 tff(29163,plain,
% 50.12/33.05 (v130(constB21, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3186, 501, 29129])).
% 50.12/33.05 tff(29164,plain,
% 50.12/33.05 ((~v130(constB21, 0)) | v127(constB21, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3200, 515, 29134])).
% 50.12/33.05 tff(29165,plain,
% 50.12/33.05 (v127(constB21, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29164, 29163])).
% 50.12/33.05 tff(29166,plain,
% 50.12/33.05 (v129(constB22, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3206, 29165])).
% 50.12/33.05 tff(29167,plain,
% 50.12/33.05 (v90(constB22, 0) | (~v129(constB22, 0))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3213, 545, 29148])).
% 50.12/33.05 tff(29168,plain,
% 50.12/33.05 (v90(constB22, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29167, 29166])).
% 50.12/33.05 tff(29169,plain,
% 50.12/33.05 (v90(constB23, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3223, 29168])).
% 50.12/33.05 tff(29170,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB21)) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB21)) | (~v130(constB21, 1)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29171,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB21)) | (~v130(constB21, 1)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29172,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB21)) | (~v130(constB21, 1))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29171, 29170])).
% 50.12/33.05 tff(29173,plain,
% 50.12/33.05 (~v130(constB21, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29172, 394, 29129])).
% 50.12/33.05 tff(29174,plain,
% 50.12/33.05 ((~v127(constB21, 1)) | v130(constB21, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[2883, 408, 29134])).
% 50.12/33.05 tff(29175,plain,
% 50.12/33.05 (~v127(constB21, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29174, 29173])).
% 50.12/33.05 tff(29176,plain,
% 50.12/33.05 (~v129(constB22, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[2892, 29175])).
% 50.12/33.05 tff(29177,plain,
% 50.12/33.05 ((~v90(constB22, 1)) | v129(constB22, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3087, 453, 29148])).
% 50.12/33.05 tff(29178,plain,
% 50.12/33.05 (~v90(constB22, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29177, 29176])).
% 50.12/33.05 tff(29179,plain,
% 50.12/33.05 (~v90(constB23, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3115, 29178])).
% 50.12/33.05 tff(29180,assumption,(~v120(constB23)), introduced(assumption)).
% 50.12/33.05 tff(29181,plain,
% 50.12/33.05 ((~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3500, 651, 29180])).
% 50.12/33.05 tff(29182,plain,
% 50.12/33.05 ($false),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29181, 29179, 29169, 29162])).
% 50.12/33.05 tff(29183,plain,((~v119(constB21)) | v120(constB23) | (~v100(constB22)) | v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.05 tff(29184,plain,
% 50.12/33.05 ((~v119(constB21)) | v120(constB23) | (~v100(constB22))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29183, 2877])).
% 50.12/33.05 tff(29185,plain,
% 50.12/33.05 (~v119(constB21)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29184, 29128, 28812])).
% 50.12/33.05 tff(29186,plain,
% 50.12/33.05 (v123(constB21)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3037, 29185, 28195, 28189])).
% 50.12/33.05 tff(29187,plain,
% 50.12/33.05 (v90(constB26, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3974, 28400])).
% 50.12/33.05 tff(29188,assumption,(v90(constB26, 1)), introduced(assumption)).
% 50.12/33.05 tff(29189,plain,
% 50.12/33.05 (v90(constB25, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3932, 3700, 29188])).
% 50.12/33.05 tff(29190,plain,
% 50.12/33.05 (v90(constB24, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28907, 29189])).
% 50.12/33.05 tff(29191,plain,
% 50.12/33.05 (v100(constB24)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3325, 29190, 3010, 3261, 3272])).
% 50.12/33.05 tff(29192,plain,
% 50.12/33.05 (v129(constB24, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3473, 29191])).
% 50.12/33.05 tff(29193,plain,
% 50.12/33.05 (v127(constB23, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3478, 29192])).
% 50.12/33.05 tff(29194,plain,
% 50.12/33.05 (~v26(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3494, 3320, 29193])).
% 50.12/33.05 tff(29195,plain,
% 50.12/33.05 (v129(constB24, 1) | (~v100(constB24))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28897, 453, 29190])).
% 50.12/33.05 tff(29196,plain,
% 50.12/33.05 (v129(constB24, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29195, 29191])).
% 50.12/33.05 tff(29197,plain,
% 50.12/33.05 (v127(constB23, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28890, 29196])).
% 50.12/33.05 tff(29198,plain,
% 50.12/33.05 (v130(constB23, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28884, 408, 29197, 29194])).
% 50.12/33.05 tff(29199,plain,
% 50.12/33.05 (~v123(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28877, 1636, 29198])).
% 50.12/33.05 tff(29200,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB23)) | (~v130(constB23, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB23)) | (~v130(constB23, 1)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29201,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB23)) | (~v130(constB23, 1)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29202,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB23)) | (~v130(constB23, 1))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 50.12/33.05 tff(29203,plain,
% 50.12/33.05 (~v119(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29202, 394, 29198])).
% 50.12/33.05 tff(29204,plain,
% 50.12/33.05 (v130(constB23, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3489, 930, 29193, 29194])).
% 50.12/33.05 tff(29205,plain,
% 50.12/33.05 (~v120(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3482, 916, 29204])).
% 50.12/33.05 tff(29206,plain,
% 50.12/33.05 (~v122(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29077, 1451, 29204])).
% 50.12/33.05 tff(29207,plain,
% 50.12/33.05 (~v124(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3623, 1909, 29204])).
% 50.12/33.05 tff(29208,assumption,(v90(constB26, 2)), introduced(assumption)).
% 50.12/33.05 tff(29209,plain,
% 50.12/33.05 (v90(constB25, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[3885, 3700, 29208])).
% 50.12/33.05 tff(29210,plain,
% 50.12/33.05 (v90(constB24, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29043, 29209])).
% 50.12/33.05 tff(29211,plain,
% 50.12/33.05 (v129(constB24, 2) | (~v100(constB24))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29033, 626, 29210])).
% 50.12/33.05 tff(29212,plain,
% 50.12/33.05 (v129(constB24, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29211, 29191])).
% 50.12/33.05 tff(29213,plain,
% 50.12/33.05 (v127(constB23, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29029, 29212])).
% 50.12/33.05 tff(29214,plain,
% 50.12/33.05 (v130(constB23, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29023, 593, 29213, 29194])).
% 50.12/33.05 tff(29215,plain,
% 50.12/33.05 (v121(constB23)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29092, 2097, 29214, 29207, 29206, 29205, 29203, 29199])).
% 50.12/33.05 tff(29216,plain,
% 50.12/33.05 ($false),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29016, 1090, 29214, 29215])).
% 50.12/33.05 tff(29217,plain,(v100(constB26) | (~v90(constB24, 0)) | v90(constB21, 0) | v130(constB21, 1) | (~v90(constB26, 2)) | (~v90(constB26, 1))), inference(lemma,lemma(discharge,[]))).
% 50.12/33.05 tff(29218,plain,
% 50.12/33.05 (v100(constB26)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29217, 28745, 3010, 3261, 3272, 28757])).
% 50.12/33.05 tff(29219,assumption,(v90(constB26, 0)), introduced(assumption)).
% 50.12/33.05 tff(29220,plain,
% 50.12/33.05 (v129(constB26, 0) | (~v100(constB26))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28733, 963, 29219])).
% 50.12/33.05 tff(29221,plain,
% 50.12/33.05 (v129(constB26, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29220, 29218])).
% 50.12/33.05 tff(29222,plain,
% 50.12/33.05 (v127(constB25, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28738, 29221])).
% 50.12/33.05 tff(29223,plain,
% 50.12/33.05 (~v26(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28742, 3320, 29222])).
% 50.12/33.05 tff(29224,plain,
% 50.12/33.05 (v130(constB25, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28923, 930, 29222, 29223])).
% 50.12/33.05 tff(29225,plain,
% 50.12/33.05 (~v124(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28916, 1909, 29224])).
% 50.12/33.05 tff(29226,plain,
% 50.12/33.05 (~v122(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29052, 1451, 29224])).
% 50.12/33.05 tff(29227,plain,
% 50.12/33.05 (~v120(constB25)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29107, 916, 29224])).
% 50.12/33.05 tff(29228,plain,
% 50.12/33.05 ($false),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[28773, 29227, 29226, 28251, 28196, 29218, 29223, 28644, 29225])).
% 50.12/33.05 tff(29229,plain,(v100(constB28) | (~v90(constB28, 1)) | (~v90(constB28, 2)) | (~v90(constB26, 0)) | v90(constB21, 0) | v130(constB21, 1) | (~v90(constB24, 0))), inference(lemma,lemma(discharge,[]))).
% 50.12/33.05 tff(29230,plain,
% 50.12/33.05 (v130(constB21, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29229, 28195, 28196, 28811, 29187, 28366, 28508])).
% 50.12/33.05 tff(29231,plain,
% 50.12/33.05 ($false),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[2872, 1636, 29230, 29186])).
% 50.12/33.05 tff(29232,plain,((~v122(constB19)) | v100(constB28)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.05 tff(29233,plain,
% 50.12/33.05 (v100(constB28)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29232, 2667])).
% 50.12/33.05 tff(29234,plain,
% 50.12/33.05 ((~v90(constB28, 2)) | v129(constB28, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4130, 626, 29233])).
% 50.12/33.05 tff(29235,plain,
% 50.12/33.05 (~v90(constB28, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29234, 28174])).
% 50.12/33.05 tff(29236,plain,
% 50.12/33.05 (~v90(constB29, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4158, 29235])).
% 50.12/33.05 tff(29237,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB29, 2)) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB29, 2)) | v90(constB29, 2))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29238,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB29, 2)) | v90(constB29, 2))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29239,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB29, 2)) | v90(constB29, 2)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29238, 29237])).
% 50.12/33.05 tff(29240,plain,
% 50.12/33.05 (~v88(constB29, 2)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29239, 26020, 29236])).
% 50.12/33.05 tff(29241,plain,
% 50.12/33.05 (~v130(constB27, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4345, 916, 4020])).
% 50.12/33.05 tff(29242,plain,
% 50.12/33.05 (~v127(constB27, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4353, 29241])).
% 50.12/33.05 tff(29243,plain,
% 50.12/33.05 (~v129(constB28, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4358, 29242])).
% 50.12/33.05 tff(29244,plain,
% 50.12/33.05 ((~v90(constB28, 0)) | v129(constB28, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4365, 963, 29233])).
% 50.12/33.05 tff(29245,plain,
% 50.12/33.05 (~v90(constB28, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29244, 29243])).
% 50.12/33.05 tff(29246,plain,
% 50.12/33.05 (~v90(constB29, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4375, 29245])).
% 50.12/33.05 tff(29247,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB29, 0)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB29, 0)) | v90(constB29, 0))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29248,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB29, 0)) | v90(constB29, 0))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29249,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB29, 0)) | v90(constB29, 0)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29248, 29247])).
% 50.12/33.05 tff(29250,plain,
% 50.12/33.05 (~v88(constB29, 0)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29249, 14930, 29246])).
% 50.12/33.05 tff(29251,plain,
% 50.12/33.05 (v130(constB27, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4314, 838, 4020])).
% 50.12/33.05 tff(29252,plain,
% 50.12/33.05 (v127(constB27, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4319, 29251])).
% 50.12/33.05 tff(29253,plain,
% 50.12/33.05 (v129(constB28, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4324, 29252])).
% 50.12/33.05 tff(29254,plain,
% 50.12/33.05 (v90(constB28, 1) | (~v129(constB28, 1))),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4331, 882, 29233])).
% 50.12/33.05 tff(29255,plain,
% 50.12/33.05 (v90(constB28, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29254, 29253])).
% 50.12/33.05 tff(29256,plain,
% 50.12/33.05 (v90(constB29, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[4341, 29255])).
% 50.12/33.05 tff(29257,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB29, 1)) | v88(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB29, 1)) | v88(constB29, 1))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29258,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB29, 1)) | v88(constB29, 1))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29259,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB29, 1)) | v88(constB29, 1)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29258, 29257])).
% 50.12/33.05 tff(29260,plain,
% 50.12/33.05 (v88(constB29, 1)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29259, 15014, 29256])).
% 50.12/33.05 tff(29261,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29262,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29263,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29262, 29261])).
% 50.12/33.05 tff(29264,plain,
% 50.12/33.05 (v143(constB29)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29263, 26042, 29260, 29250, 29240])).
% 50.12/33.05 tff(29265,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB29) | (~v143(constB29)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB29) | (~v143(constB29)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29266,plain,
% 50.12/33.05 (((~v143(constB29)) | v142(constB29)) <=> (v142(constB29) | (~v143(constB29)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29267,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB29) | (~v143(constB29))))),
% 50.12/33.05 inference(monotonicity,[status(thm)],[29266])).
% 50.12/33.05 tff(29268,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB29) | (~v143(constB29)))),
% 50.12/33.05 inference(transitivity,[status(thm)],[29267, 29265])).
% 50.12/33.05 tff(29269,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29270,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB29) | (~v143(constB29))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29269, 29268])).
% 50.12/33.05 tff(29271,plain,
% 50.12/33.05 (v142(constB29)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29270, 26056, 29264])).
% 50.12/33.05 tff(29272,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB29)) | v198(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB29)) | v198(constB29))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29273,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB29)) | v198(constB29))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29274,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB29)) | v198(constB29)),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29273, 29272])).
% 50.12/33.05 tff(29275,plain,
% 50.12/33.05 (v198(constB29)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29274, 15053, 29271])).
% 50.12/33.05 tff(29276,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB29)) | (~v201(constB29)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB29)) | (~v201(constB29)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29277,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB29)) | (~v201(constB29)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29278,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB29)) | (~v201(constB29))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29277, 29276])).
% 50.12/33.05 tff(29279,plain,
% 50.12/33.05 (~v201(constB29)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29278, 15064, 29275])).
% 50.12/33.05 tff(29280,plain,
% 50.12/33.05 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB29) | (~v198(constB29)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB29) | (~v198(constB29)))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29281,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB29) | (~v198(constB29)))),
% 50.12/33.05 inference(quant_inst,[status(thm)],[])).
% 50.12/33.05 tff(29282,plain,
% 50.12/33.05 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB29) | (~v198(constB29))),
% 50.12/33.05 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 50.12/33.05 tff(29283,plain,
% 50.12/33.05 (v197(constB29)),
% 50.12/33.05 inference(unit_resolution,[status(thm)],[29282, 15078, 29275])).
% 50.12/33.05 tff(29284,plain,
% 50.12/33.05 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB29) | (~v197(constB29)) | v201(constB29))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB29) | (~v197(constB29)) | v201(constB29))),
% 50.12/33.05 inference(rewrite,[status(thm)],[])).
% 50.12/33.05 tff(29285,plain,
% 50.12/33.05 (((~v197(constB29)) | v201(constB29) | v227(constB29)) <=> (v227(constB29) | (~v197(constB29)) | v201(constB29))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29286,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB29)) | v201(constB29) | v227(constB29))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB29) | (~v197(constB29)) | v201(constB29)))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29285])).
% 50.12/33.06 tff(29287,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB29)) | v201(constB29) | v227(constB29))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB29) | (~v197(constB29)) | v201(constB29))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29286, 29284])).
% 50.12/33.06 tff(29288,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB29)) | v201(constB29) | v227(constB29))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29289,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB29) | (~v197(constB29)) | v201(constB29)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29288, 29287])).
% 50.12/33.06 tff(29290,plain,
% 50.12/33.06 (v227(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29289, 15092, 29283, 29279])).
% 50.12/33.06 tff(29291,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB29)) | (~v223(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB29)) | (~v223(constB29, 0)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29292,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB29)) | (~v223(constB29, 0)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29293,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB29)) | (~v223(constB29, 0))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29292, 29291])).
% 50.12/33.06 tff(29294,plain,
% 50.12/33.06 (~v223(constB29, 0)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29293, 15109, 29290])).
% 50.12/33.06 tff(29295,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB29)) | v223(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB29)) | v223(constB29, 0))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29296,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB29)) | v223(constB29, 0))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29297,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB29)) | v223(constB29, 0)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29296, 29295])).
% 50.12/33.06 tff(29298,plain,
% 50.12/33.06 (~v222(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29297, 15120, 29294])).
% 50.12/33.06 tff(29299,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB29)) | (~v88(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB29)) | (~v88(constB29, 1)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29300,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB29)) | (~v88(constB29, 1)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29301,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB29)) | (~v88(constB29, 1))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29300, 29299])).
% 50.12/33.06 tff(29302,plain,
% 50.12/33.06 (~v139(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29301, 15131, 29260])).
% 50.12/33.06 tff(29303,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB29)) | (~v88(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB29)) | (~v88(constB29, 1)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29304,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB29)) | (~v88(constB29, 1)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29305,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB29)) | (~v88(constB29, 1))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29304, 29303])).
% 50.12/33.06 tff(29306,plain,
% 50.12/33.06 (~v140(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29305, 15142, 29260])).
% 50.12/33.06 tff(29307,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v200(constB29)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB29) | v140(constB29) | (~v200(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29308,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v200(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29309,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB29) | v140(constB29) | (~v200(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29308, 29307])).
% 50.12/33.06 tff(29310,plain,
% 50.12/33.06 (~v200(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29309, 15156, 29306, 29302])).
% 50.12/33.06 tff(29311,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB29)) | v88(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB29)) | v88(constB29, 0))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29312,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB29)) | v88(constB29, 0))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29313,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB29)) | v88(constB29, 0)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 50.12/33.06 tff(29314,plain,
% 50.12/33.06 (~v141(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29313, 26106, 29250])).
% 50.12/33.06 tff(29315,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB29) | v200(constB29) | (~v166(constB29)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB29) | v200(constB29) | (~v166(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29316,plain,
% 50.12/33.06 ((v141(constB29) | (~v166(constB29)) | v200(constB29)) <=> (v141(constB29) | v200(constB29) | (~v166(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29317,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB29) | (~v166(constB29)) | v200(constB29))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB29) | v200(constB29) | (~v166(constB29))))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29316])).
% 50.12/33.06 tff(29318,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB29) | (~v166(constB29)) | v200(constB29))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB29) | v200(constB29) | (~v166(constB29)))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29317, 29315])).
% 50.12/33.06 tff(29319,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB29) | (~v166(constB29)) | v200(constB29))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29320,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB29) | v200(constB29) | (~v166(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29319, 29318])).
% 50.12/33.06 tff(29321,plain,
% 50.12/33.06 (~v166(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29320, 15181, 29314, 29310])).
% 50.12/33.06 tff(29322,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB29) | (~v197(constB29)) | v166(constB29))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB29) | (~v197(constB29)) | v166(constB29))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29323,plain,
% 50.12/33.06 (((~v197(constB29)) | v166(constB29) | v241(constB29)) <=> (v241(constB29) | (~v197(constB29)) | v166(constB29))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29324,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB29)) | v166(constB29) | v241(constB29))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB29) | (~v197(constB29)) | v166(constB29)))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29323])).
% 50.12/33.06 tff(29325,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB29)) | v166(constB29) | v241(constB29))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB29) | (~v197(constB29)) | v166(constB29))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29324, 29322])).
% 50.12/33.06 tff(29326,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB29)) | v166(constB29) | v241(constB29))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29327,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB29) | (~v197(constB29)) | v166(constB29)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29326, 29325])).
% 50.12/33.06 tff(29328,plain,
% 50.12/33.06 (v241(constB29) | (~v197(constB29))),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29327, 15198, 29321])).
% 50.12/33.06 tff(29329,plain,
% 50.12/33.06 (v241(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29328, 29283])).
% 50.12/33.06 tff(29330,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB29)) | (~v223(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB29)) | (~v223(constB29, 2)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29331,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB29)) | (~v223(constB29, 2)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29332,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB29)) | (~v223(constB29, 2))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29331, 29330])).
% 50.12/33.06 tff(29333,plain,
% 50.12/33.06 (~v223(constB29, 2)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29332, 15216, 29329])).
% 50.12/33.06 tff(29334,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB29)) | v223(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB29)) | v223(constB29, 2))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29335,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB29)) | v223(constB29, 2))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29336,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB29)) | v223(constB29, 2)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29335, 29334])).
% 50.12/33.06 tff(29337,plain,
% 50.12/33.06 (~v224(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29336, 15227, 29333])).
% 50.12/33.06 tff(29338,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB29) | v224(constB29) | (~v236(constB29)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB29) | v224(constB29) | (~v236(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29339,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB29) | v224(constB29) | (~v236(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29340,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB29) | v224(constB29) | (~v236(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 50.12/33.06 tff(29341,plain,
% 50.12/33.06 (v222(constB29) | (~v236(constB29))),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29340, 15241, 29337])).
% 50.12/33.06 tff(29342,plain,
% 50.12/33.06 (~v236(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29341, 29298])).
% 50.12/33.06 tff(29343,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB29) | (~v232(constB29)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB29) | (~v232(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29344,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB29) | (~v232(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29345,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB29) | (~v232(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29344, 29343])).
% 50.12/33.06 tff(29346,plain,
% 50.12/33.06 (~v232(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29345, 15255, 29342])).
% 50.12/33.06 tff(29347,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v148(constB29)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB29) | v140(constB29) | (~v148(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29348,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v148(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29349,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB29) | v140(constB29) | (~v148(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29348, 29347])).
% 50.12/33.06 tff(29350,plain,
% 50.12/33.06 (~v148(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29349, 15269, 29306, 29302])).
% 50.12/33.06 tff(29351,plain,
% 50.12/33.06 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB29) | v252(constB29) | (~v197(constB29)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB29) | v252(constB29) | (~v197(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29352,plain,
% 50.12/33.06 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB29) | v252(constB29) | (~v197(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29353,plain,
% 50.12/33.06 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB29) | v252(constB29) | (~v197(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 50.12/33.06 tff(29354,plain,
% 50.12/33.06 (v252(constB29) | (~v197(constB29))),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29353, 15283, 29350])).
% 50.12/33.06 tff(29355,plain,
% 50.12/33.06 (v252(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29354, 29283])).
% 50.12/33.06 tff(29356,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB29)) | (~v223(constB29, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB29)) | (~v223(constB29, 3)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29357,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB29)) | (~v223(constB29, 3)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29358,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB29)) | (~v223(constB29, 3))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 50.12/33.06 tff(29359,plain,
% 50.12/33.06 (~v223(constB29, 3)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29358, 15298, 29355])).
% 50.12/33.06 tff(29360,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB29)) | v223(constB29, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB29)) | v223(constB29, 3))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29361,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB29)) | v223(constB29, 3))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29362,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB29)) | v223(constB29, 3)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 50.12/33.06 tff(29363,plain,
% 50.12/33.06 (~v237(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29362, 15309, 29359])).
% 50.12/33.06 tff(29364,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB29) | v237(constB29) | (~v248(constB29)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB29) | v237(constB29) | (~v248(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29365,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB29) | v237(constB29) | (~v248(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29366,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB29) | v237(constB29) | (~v248(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29365, 29364])).
% 50.12/33.06 tff(29367,plain,
% 50.12/33.06 (v232(constB29) | (~v248(constB29))),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29366, 15323, 29363])).
% 50.12/33.06 tff(29368,plain,
% 50.12/33.06 (~v248(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29367, 29346])).
% 50.12/33.06 tff(29369,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB29) | (~v244(constB29)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB29) | (~v244(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29370,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB29) | (~v244(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29371,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB29) | (~v244(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29370, 29369])).
% 50.12/33.06 tff(29372,plain,
% 50.12/33.06 (~v244(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29371, 15338, 29368])).
% 50.12/33.06 tff(29373,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB29) | (~v216(constB29, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB29) | (~v216(constB29, 1)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29374,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB29) | (~v216(constB29, 1)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29375,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB29) | (~v216(constB29, 1))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 50.12/33.06 tff(29376,plain,
% 50.12/33.06 (~v216(constB29, 1)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29375, 15352, 29372])).
% 50.12/33.06 tff(29377,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB29)) | v216(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB29)) | v216(constB29, 1))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29378,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB29)) | v216(constB29, 1))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29379,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB29)) | v216(constB29, 1)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29378, 29377])).
% 50.12/33.06 tff(29380,plain,
% 50.12/33.06 (~v254(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29379, 15363, 29376])).
% 50.12/33.06 tff(29381,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB29) | (~v221(constB29)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB29) | (~v221(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29382,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB29) | (~v221(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29383,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB29) | (~v221(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 50.12/33.06 tff(29384,plain,
% 50.12/33.06 (~v221(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29383, 15377, 29337])).
% 50.12/33.06 tff(29385,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB29) | (~v231(constB29)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB29) | (~v231(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29386,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB29) | (~v231(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29387,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB29) | (~v231(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29386, 29385])).
% 50.12/33.06 tff(29388,plain,
% 50.12/33.06 (~v231(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29387, 15391, 29363])).
% 50.12/33.06 tff(29389,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB29) | v231(constB29) | (~v243(constB29)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB29) | v231(constB29) | (~v243(constB29)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29390,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB29) | v231(constB29) | (~v243(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29391,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB29) | v231(constB29) | (~v243(constB29))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29390, 29389])).
% 50.12/33.06 tff(29392,plain,
% 50.12/33.06 (~v243(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29391, 15405, 29388, 29384])).
% 50.12/33.06 tff(29393,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB29) | v255(constB29))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB29) | v255(constB29))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29394,plain,
% 50.12/33.06 ((v255(constB29) | v243(constB29)) <=> (v243(constB29) | v255(constB29))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29395,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB29) | v243(constB29))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB29) | v255(constB29)))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29394])).
% 50.12/33.06 tff(29396,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB29) | v243(constB29))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB29) | v255(constB29))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29395, 29393])).
% 50.12/33.06 tff(29397,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB29) | v243(constB29))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29398,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB29) | v255(constB29)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29397, 29396])).
% 50.12/33.06 tff(29399,plain,
% 50.12/33.06 (v255(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29398, 15416, 29392])).
% 50.12/33.06 tff(29400,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB29)) | (~v216(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB29)) | (~v216(constB29, 2)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29401,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB29)) | (~v216(constB29, 2)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29402,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB29)) | (~v216(constB29, 2))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29401, 29400])).
% 50.12/33.06 tff(29403,plain,
% 50.12/33.06 (~v216(constB29, 2)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29402, 15433, 29399])).
% 50.12/33.06 tff(29404,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB29, 2) | (~v215(constB29)) | v254(constB29))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB29, 2) | (~v215(constB29)) | v254(constB29))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29405,plain,
% 50.12/33.06 ((v216(constB29, 2) | v254(constB29) | (~v215(constB29))) <=> (v216(constB29, 2) | (~v215(constB29)) | v254(constB29))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29406,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB29, 2) | v254(constB29) | (~v215(constB29)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB29, 2) | (~v215(constB29)) | v254(constB29)))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29405])).
% 50.12/33.06 tff(29407,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB29, 2) | v254(constB29) | (~v215(constB29)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB29, 2) | (~v215(constB29)) | v254(constB29))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29406, 29404])).
% 50.12/33.06 tff(29408,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB29, 2) | v254(constB29) | (~v215(constB29)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29409,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB29, 2) | (~v215(constB29)) | v254(constB29)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29408, 29407])).
% 50.12/33.06 tff(29410,plain,
% 50.12/33.06 ((~v215(constB29)) | v254(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29409, 15447, 29403])).
% 50.12/33.06 tff(29411,plain,
% 50.12/33.06 (~v215(constB29)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29410, 29380])).
% 50.12/33.06 tff(29412,plain,
% 50.12/33.06 ($false),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29411, 28171])).
% 50.12/33.06 tff(29413,plain,(~(constB29 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.06 tff(29414,assumption,(constB175 = sK_VarCurr), introduced(assumption)).
% 50.12/33.06 tff(29415,plain,
% 50.12/33.06 (v215(constB175) <=> v215(sK_VarCurr)),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29414])).
% 50.12/33.06 tff(29416,plain,
% 50.12/33.06 (v215(sK_VarCurr) <=> v215(constB175)),
% 50.12/33.06 inference(symmetry,[status(thm)],[29415])).
% 50.12/33.06 tff(29417,plain,
% 50.12/33.06 (v215(constB175)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[34, 29416])).
% 50.12/33.06 tff(29418,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB175, 2)) | v90(constB175, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB175, 2)) | v90(constB175, 2))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29419,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB175, 2)) | v90(constB175, 2))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29420,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB175, 2)) | v90(constB175, 2)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29419, 29418])).
% 50.12/33.06 tff(29421,plain,
% 50.12/33.06 (~v88(constB175, 2)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29420, 26020, 21735])).
% 50.12/33.06 tff(29422,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB175, 1)) | v88(constB175, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB175, 1)) | v88(constB175, 1))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29423,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB175, 1)) | v88(constB175, 1))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29424,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB175, 1)) | v88(constB175, 1)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29423, 29422])).
% 50.12/33.06 tff(29425,plain,
% 50.12/33.06 (v88(constB175, 1)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29424, 15014, 21766])).
% 50.12/33.06 tff(29426,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB175, 0)) | v88(constB175, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB175, 0)) | v88(constB175, 0))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29427,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB175, 0)) | v88(constB175, 0))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29428,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB175, 0)) | v88(constB175, 0)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29427, 29426])).
% 50.12/33.06 tff(29429,plain,
% 50.12/33.06 (v88(constB175, 0)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29428, 26254, 21797])).
% 50.12/33.06 tff(29430,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29431,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29432,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29431, 29430])).
% 50.12/33.06 tff(29433,plain,
% 50.12/33.06 (v141(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29432, 26268, 29429, 29425, 29421])).
% 50.12/33.06 tff(29434,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB175)) | v199(constB175))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB175)) | v199(constB175))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29435,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB175)) | v199(constB175))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29436,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB175)) | v199(constB175)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29435, 29434])).
% 50.12/33.06 tff(29437,plain,
% 50.12/33.06 (v199(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29436, 26282, 29433])).
% 50.12/33.06 tff(29438,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB175)) | v198(constB175))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB175)) | v198(constB175))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29439,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB175)) | v198(constB175))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29440,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB175)) | v198(constB175)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29439, 29438])).
% 50.12/33.06 tff(29441,plain,
% 50.12/33.06 (v198(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29440, 26293, 29437])).
% 50.12/33.06 tff(29442,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB175)) | (~v201(constB175)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB175)) | (~v201(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29443,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB175)) | (~v201(constB175)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29444,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB175)) | (~v201(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29443, 29442])).
% 50.12/33.06 tff(29445,plain,
% 50.12/33.06 (~v201(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29444, 15064, 29441])).
% 50.12/33.06 tff(29446,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB175) | (~v198(constB175)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB175) | (~v198(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29447,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB175) | (~v198(constB175)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29448,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB175) | (~v198(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 50.12/33.06 tff(29449,plain,
% 50.12/33.06 (v197(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29448, 15078, 29441])).
% 50.12/33.06 tff(29450,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB175) | v201(constB175) | (~v197(constB175)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB175) | v201(constB175) | (~v197(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29451,plain,
% 50.12/33.06 (((~v197(constB175)) | v201(constB175) | v227(constB175)) <=> (v227(constB175) | v201(constB175) | (~v197(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29452,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB175)) | v201(constB175) | v227(constB175))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB175) | v201(constB175) | (~v197(constB175))))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29451])).
% 50.12/33.06 tff(29453,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB175)) | v201(constB175) | v227(constB175))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB175) | v201(constB175) | (~v197(constB175)))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29452, 29450])).
% 50.12/33.06 tff(29454,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB175)) | v201(constB175) | v227(constB175))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29455,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB175) | v201(constB175) | (~v197(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29454, 29453])).
% 50.12/33.06 tff(29456,plain,
% 50.12/33.06 (v227(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29455, 15092, 29449, 29445])).
% 50.12/33.06 tff(29457,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB175)) | (~v223(constB175, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB175)) | (~v223(constB175, 0)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29458,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB175)) | (~v223(constB175, 0)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29459,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB175)) | (~v223(constB175, 0))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29458, 29457])).
% 50.12/33.06 tff(29460,plain,
% 50.12/33.06 (~v223(constB175, 0)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29459, 15109, 29456])).
% 50.12/33.06 tff(29461,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB175)) | (~v199(constB175)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB175)) | (~v199(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29462,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB175)) | (~v199(constB175)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29463,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB175)) | (~v199(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29462, 29461])).
% 50.12/33.06 tff(29464,plain,
% 50.12/33.06 (~v183(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29463, 26326, 29437])).
% 50.12/33.06 tff(29465,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB175) | v183(constB175) | (~v197(constB175)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB175) | v183(constB175) | (~v197(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29466,plain,
% 50.12/33.06 (((~v197(constB175)) | v183(constB175) | v228(constB175)) <=> (v228(constB175) | v183(constB175) | (~v197(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29467,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB175)) | v183(constB175) | v228(constB175))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB175) | v183(constB175) | (~v197(constB175))))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29466])).
% 50.12/33.06 tff(29468,plain,
% 50.12/33.06 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB175)) | v183(constB175) | v228(constB175))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB175) | v183(constB175) | (~v197(constB175)))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29467, 29465])).
% 50.12/33.06 tff(29469,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB175)) | v183(constB175) | v228(constB175))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29470,plain,
% 50.12/33.06 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB175) | v183(constB175) | (~v197(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 50.12/33.06 tff(29471,plain,
% 50.12/33.06 (v228(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29470, 26340, 29449, 29464])).
% 50.12/33.06 tff(29472,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB175)) | (~v223(constB175, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB175)) | (~v223(constB175, 1)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29473,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB175)) | (~v223(constB175, 1)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29474,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB175)) | (~v223(constB175, 1))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29473, 29472])).
% 50.12/33.06 tff(29475,plain,
% 50.12/33.06 (~v223(constB175, 1)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29474, 26357, 29471])).
% 50.12/33.06 tff(29476,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB175, 1) | v223(constB175, 0) | (~v229(constB175)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB175, 1) | v223(constB175, 0) | (~v229(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29477,plain,
% 50.12/33.06 ((v223(constB175, 0) | v223(constB175, 1) | (~v229(constB175))) <=> (v223(constB175, 1) | v223(constB175, 0) | (~v229(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29478,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB175, 0) | v223(constB175, 1) | (~v229(constB175)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB175, 1) | v223(constB175, 0) | (~v229(constB175))))),
% 50.12/33.06 inference(monotonicity,[status(thm)],[29477])).
% 50.12/33.06 tff(29479,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB175, 0) | v223(constB175, 1) | (~v229(constB175)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB175, 1) | v223(constB175, 0) | (~v229(constB175)))),
% 50.12/33.06 inference(transitivity,[status(thm)],[29478, 29476])).
% 50.12/33.06 tff(29480,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB175, 0) | v223(constB175, 1) | (~v229(constB175)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29481,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB175, 1) | v223(constB175, 0) | (~v229(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29480, 29479])).
% 50.12/33.06 tff(29482,plain,
% 50.12/33.06 (~v229(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29481, 26371, 29475, 29460])).
% 50.12/33.06 tff(29483,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB175) | (~v225(constB175)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB175) | (~v225(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29484,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB175) | (~v225(constB175)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29485,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB175) | (~v225(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29484, 29483])).
% 50.12/33.06 tff(29486,plain,
% 50.12/33.06 (~v225(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29485, 26388, 29482])).
% 50.12/33.06 tff(29487,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB175) | (~v224(constB175)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB175) | (~v224(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29488,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB175) | (~v224(constB175)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29489,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB175) | (~v224(constB175))),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29488, 29487])).
% 50.12/33.06 tff(29490,plain,
% 50.12/33.06 (~v224(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29489, 26402, 29486])).
% 50.12/33.06 tff(29491,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB175)) | v223(constB175, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB175)) | v223(constB175, 1))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29492,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB175)) | v223(constB175, 1))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29493,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB175)) | v223(constB175, 1)),
% 50.12/33.06 inference(modus_ponens,[status(thm)],[29492, 29491])).
% 50.12/33.06 tff(29494,plain,
% 50.12/33.06 (~v222(constB175)),
% 50.12/33.06 inference(unit_resolution,[status(thm)],[29493, 26413, 29475])).
% 50.12/33.06 tff(29495,plain,
% 50.12/33.06 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB175) | v224(constB175) | (~v236(constB175)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB175) | v224(constB175) | (~v236(constB175)))),
% 50.12/33.06 inference(rewrite,[status(thm)],[])).
% 50.12/33.06 tff(29496,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB175) | v224(constB175) | (~v236(constB175)))),
% 50.12/33.06 inference(quant_inst,[status(thm)],[])).
% 50.12/33.06 tff(29497,plain,
% 50.12/33.06 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB175) | v224(constB175) | (~v236(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29496, 29495])).
% 50.12/33.07 tff(29498,plain,
% 50.12/33.07 (v224(constB175) | (~v236(constB175))),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29497, 15241, 29494])).
% 50.12/33.07 tff(29499,plain,
% 50.12/33.07 (~v236(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29498, 29490])).
% 50.12/33.07 tff(29500,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB175) | (~v232(constB175)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB175) | (~v232(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29501,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB175) | (~v232(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29502,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB175) | (~v232(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 50.12/33.07 tff(29503,plain,
% 50.12/33.07 (~v232(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29502, 15255, 29499])).
% 50.12/33.07 tff(29504,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB175)) | (~v88(constB175, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB175)) | (~v88(constB175, 1)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29505,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB175)) | (~v88(constB175, 1)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29506,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB175)) | (~v88(constB175, 1))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29505, 29504])).
% 50.12/33.07 tff(29507,plain,
% 50.12/33.07 (~v140(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29506, 15142, 29425])).
% 50.12/33.07 tff(29508,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB175)) | (~v88(constB175, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB175)) | (~v88(constB175, 0)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29509,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB175)) | (~v88(constB175, 0)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29510,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB175)) | (~v88(constB175, 0))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29509, 29508])).
% 50.12/33.07 tff(29511,plain,
% 50.12/33.07 (~v139(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29510, 26437, 29429])).
% 50.12/33.07 tff(29512,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v148(constB175)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB175) | v140(constB175) | (~v148(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29513,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v148(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29514,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB175) | v140(constB175) | (~v148(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29513, 29512])).
% 50.12/33.07 tff(29515,plain,
% 50.12/33.07 (~v148(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29514, 15269, 29511, 29507])).
% 50.12/33.07 tff(29516,plain,
% 50.12/33.07 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB175) | v252(constB175) | (~v197(constB175)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB175) | v252(constB175) | (~v197(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29517,plain,
% 50.12/33.07 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB175) | v252(constB175) | (~v197(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29518,plain,
% 50.12/33.07 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB175) | v252(constB175) | (~v197(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 50.12/33.07 tff(29519,plain,
% 50.12/33.07 (v252(constB175) | (~v197(constB175))),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29518, 15283, 29515])).
% 50.12/33.07 tff(29520,plain,
% 50.12/33.07 (v252(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29519, 29449])).
% 50.12/33.07 tff(29521,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB175)) | (~v223(constB175, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB175)) | (~v223(constB175, 3)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29522,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB175)) | (~v223(constB175, 3)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29523,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB175)) | (~v223(constB175, 3))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 50.12/33.07 tff(29524,plain,
% 50.12/33.07 (~v223(constB175, 3)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29523, 15298, 29520])).
% 50.12/33.07 tff(29525,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB175)) | v223(constB175, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB175)) | v223(constB175, 3))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29526,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB175)) | v223(constB175, 3))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29527,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB175)) | v223(constB175, 3)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 50.12/33.07 tff(29528,plain,
% 50.12/33.07 (~v237(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29527, 15309, 29524])).
% 50.12/33.07 tff(29529,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB175) | v237(constB175) | (~v248(constB175)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB175) | v237(constB175) | (~v248(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29530,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB175) | v237(constB175) | (~v248(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29531,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB175) | v237(constB175) | (~v248(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29530, 29529])).
% 50.12/33.07 tff(29532,plain,
% 50.12/33.07 (v232(constB175) | (~v248(constB175))),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29531, 15323, 29528])).
% 50.12/33.07 tff(29533,plain,
% 50.12/33.07 (~v248(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29532, 29503])).
% 50.12/33.07 tff(29534,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB175) | (~v244(constB175)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB175) | (~v244(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29535,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB175) | (~v244(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29536,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB175) | (~v244(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29535, 29534])).
% 50.12/33.07 tff(29537,plain,
% 50.12/33.07 (~v244(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29536, 15338, 29533])).
% 50.12/33.07 tff(29538,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB175) | (~v216(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB175) | (~v216(constB175, 1)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29539,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB175) | (~v216(constB175, 1)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29540,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB175) | (~v216(constB175, 1))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 50.12/33.07 tff(29541,plain,
% 50.12/33.07 (~v216(constB175, 1)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29540, 15352, 29537])).
% 50.12/33.07 tff(29542,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB175)) | v216(constB175, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB175)) | v216(constB175, 1))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29543,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB175)) | v216(constB175, 1))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29544,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB175)) | v216(constB175, 1)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 50.12/33.07 tff(29545,plain,
% 50.12/33.07 (~v254(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29544, 15363, 29541])).
% 50.12/33.07 tff(29546,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB175) | (~v231(constB175)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB175) | (~v231(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29547,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB175) | (~v231(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29548,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB175) | (~v231(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29547, 29546])).
% 50.12/33.07 tff(29549,plain,
% 50.12/33.07 (~v231(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29548, 15391, 29528])).
% 50.12/33.07 tff(29550,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB175) | (~v221(constB175)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB175) | (~v221(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29551,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB175) | (~v221(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29552,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB175) | (~v221(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29551, 29550])).
% 50.12/33.07 tff(29553,plain,
% 50.12/33.07 (~v221(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29552, 26489, 29494])).
% 50.12/33.07 tff(29554,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB175) | v231(constB175) | (~v243(constB175)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB175) | v231(constB175) | (~v243(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29555,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB175) | v231(constB175) | (~v243(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29556,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB175) | v231(constB175) | (~v243(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 50.12/33.07 tff(29557,plain,
% 50.12/33.07 (~v243(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29556, 15405, 29553, 29549])).
% 50.12/33.07 tff(29558,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB175) | v255(constB175))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB175) | v255(constB175))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29559,plain,
% 50.12/33.07 ((v255(constB175) | v243(constB175)) <=> (v243(constB175) | v255(constB175))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29560,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB175) | v243(constB175))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB175) | v255(constB175)))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29559])).
% 50.12/33.07 tff(29561,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB175) | v243(constB175))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB175) | v255(constB175))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29560, 29558])).
% 50.12/33.07 tff(29562,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB175) | v243(constB175))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29563,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB175) | v255(constB175)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29562, 29561])).
% 50.12/33.07 tff(29564,plain,
% 50.12/33.07 (v255(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29563, 15416, 29557])).
% 50.12/33.07 tff(29565,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB175)) | (~v216(constB175, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB175)) | (~v216(constB175, 2)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29566,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB175)) | (~v216(constB175, 2)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29567,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB175)) | (~v216(constB175, 2))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29566, 29565])).
% 50.12/33.07 tff(29568,plain,
% 50.12/33.07 (~v216(constB175, 2)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29567, 15433, 29564])).
% 50.12/33.07 tff(29569,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB175, 2) | v254(constB175) | (~v215(constB175)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB175, 2) | v254(constB175) | (~v215(constB175)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29570,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB175, 2) | v254(constB175) | (~v215(constB175)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29571,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB175, 2) | v254(constB175) | (~v215(constB175))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29570, 29569])).
% 50.12/33.07 tff(29572,plain,
% 50.12/33.07 (v254(constB175) | (~v215(constB175))),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29571, 15447, 29568])).
% 50.12/33.07 tff(29573,plain,
% 50.12/33.07 (~v215(constB175)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29572, 29545])).
% 50.12/33.07 tff(29574,plain,
% 50.12/33.07 ($false),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29573, 29417])).
% 50.12/33.07 tff(29575,plain,(~(constB175 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.07 tff(29576,assumption,(constB147 = sK_VarCurr), introduced(assumption)).
% 50.12/33.07 tff(29577,plain,
% 50.12/33.07 (v215(constB147) <=> v215(sK_VarCurr)),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29576])).
% 50.12/33.07 tff(29578,plain,
% 50.12/33.07 (v215(sK_VarCurr) <=> v215(constB147)),
% 50.12/33.07 inference(symmetry,[status(thm)],[29577])).
% 50.12/33.07 tff(29579,plain,
% 50.12/33.07 (v215(constB147)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[34, 29578])).
% 50.12/33.07 tff(29580,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB147, 2)) | v90(constB147, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB147, 2)) | v90(constB147, 2))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29581,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB147, 2)) | v90(constB147, 2))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29582,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB147, 2)) | v90(constB147, 2)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29581, 29580])).
% 50.12/33.07 tff(29583,plain,
% 50.12/33.07 (~v88(constB147, 2)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29582, 26020, 18739])).
% 50.12/33.07 tff(29584,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB147, 1)) | v90(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB147, 1)) | v90(constB147, 1))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29585,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB147, 1)) | v90(constB147, 1))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29586,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB147, 1)) | v90(constB147, 1)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29585, 29584])).
% 50.12/33.07 tff(29587,plain,
% 50.12/33.07 (~v88(constB147, 1)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29586, 26697, 18773])).
% 50.12/33.07 tff(29588,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB147, 0)) | v88(constB147, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB147, 0)) | v88(constB147, 0))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29589,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB147, 0)) | v88(constB147, 0))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29590,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB147, 0)) | v88(constB147, 0)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29589, 29588])).
% 50.12/33.07 tff(29591,plain,
% 50.12/33.07 (v88(constB147, 0)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29590, 26254, 18833])).
% 50.12/33.07 tff(29592,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB147, 0)) | v88(constB147, 2) | v88(constB147, 1) | v140(constB147))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB147, 0)) | v88(constB147, 2) | v88(constB147, 1) | v140(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29593,plain,
% 50.12/33.07 ((v88(constB147, 2) | v88(constB147, 1) | (~v88(constB147, 0)) | v140(constB147)) <=> ((~v88(constB147, 0)) | v88(constB147, 2) | v88(constB147, 1) | v140(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29594,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB147, 2) | v88(constB147, 1) | (~v88(constB147, 0)) | v140(constB147))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB147, 0)) | v88(constB147, 2) | v88(constB147, 1) | v140(constB147)))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29593])).
% 50.12/33.07 tff(29595,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB147, 2) | v88(constB147, 1) | (~v88(constB147, 0)) | v140(constB147))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB147, 0)) | v88(constB147, 2) | v88(constB147, 1) | v140(constB147))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29594, 29592])).
% 50.12/33.07 tff(29596,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB147, 2) | v88(constB147, 1) | (~v88(constB147, 0)) | v140(constB147))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29597,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB147, 0)) | v88(constB147, 2) | v88(constB147, 1) | v140(constB147)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29596, 29595])).
% 50.12/33.07 tff(29598,plain,
% 50.12/33.07 (v140(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29597, 26719, 29591, 29587, 29583])).
% 50.12/33.07 tff(29599,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB147)) | v200(constB147))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB147)) | v200(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29600,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB147)) | v200(constB147))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29601,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB147)) | v200(constB147)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29600, 29599])).
% 50.12/33.07 tff(29602,plain,
% 50.12/33.07 (v200(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29601, 26731, 29598])).
% 50.12/33.07 tff(29603,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB147) | (~v200(constB147)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB147) | (~v200(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29604,plain,
% 50.12/33.07 (((~v200(constB147)) | v199(constB147)) <=> (v199(constB147) | (~v200(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29605,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB147)) | v199(constB147))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB147) | (~v200(constB147))))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29604])).
% 50.12/33.07 tff(29606,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB147)) | v199(constB147))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB147) | (~v200(constB147)))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29605, 29603])).
% 50.12/33.07 tff(29607,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB147)) | v199(constB147))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29608,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB147) | (~v200(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29607, 29606])).
% 50.12/33.07 tff(29609,plain,
% 50.12/33.07 (v199(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29608, 26742, 29602])).
% 50.12/33.07 tff(29610,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB147)) | v198(constB147))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB147)) | v198(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29611,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB147)) | v198(constB147))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29612,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB147)) | v198(constB147)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29611, 29610])).
% 50.12/33.07 tff(29613,plain,
% 50.12/33.07 (v198(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29612, 26293, 29609])).
% 50.12/33.07 tff(29614,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB147)) | (~v201(constB147)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB147)) | (~v201(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29615,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB147)) | (~v201(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29616,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB147)) | (~v201(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29615, 29614])).
% 50.12/33.07 tff(29617,plain,
% 50.12/33.07 (~v201(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29616, 15064, 29613])).
% 50.12/33.07 tff(29618,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB147) | (~v198(constB147)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB147) | (~v198(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29619,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB147) | (~v198(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29620,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB147) | (~v198(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29619, 29618])).
% 50.12/33.07 tff(29621,plain,
% 50.12/33.07 (v197(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29620, 15078, 29613])).
% 50.12/33.07 tff(29622,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB147) | (~v197(constB147)) | v201(constB147))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB147) | (~v197(constB147)) | v201(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29623,plain,
% 50.12/33.07 (((~v197(constB147)) | v201(constB147) | v227(constB147)) <=> (v227(constB147) | (~v197(constB147)) | v201(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29624,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB147)) | v201(constB147) | v227(constB147))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB147) | (~v197(constB147)) | v201(constB147)))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29623])).
% 50.12/33.07 tff(29625,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB147)) | v201(constB147) | v227(constB147))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB147) | (~v197(constB147)) | v201(constB147))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29624, 29622])).
% 50.12/33.07 tff(29626,plain,
% 50.12/33.07 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB147)) | v201(constB147) | v227(constB147))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29627,plain,
% 50.12/33.07 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB147) | (~v197(constB147)) | v201(constB147)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29626, 29625])).
% 50.12/33.07 tff(29628,plain,
% 50.12/33.07 (v227(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29627, 15092, 29621, 29617])).
% 50.12/33.07 tff(29629,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB147)) | (~v223(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB147)) | (~v223(constB147, 0)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29630,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB147)) | (~v223(constB147, 0)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29631,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB147)) | (~v223(constB147, 0))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29630, 29629])).
% 50.12/33.07 tff(29632,plain,
% 50.12/33.07 (~v223(constB147, 0)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29631, 15109, 29628])).
% 50.12/33.07 tff(29633,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB147)) | (~v199(constB147)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB147)) | (~v199(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29634,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB147)) | (~v199(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29635,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB147)) | (~v199(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29634, 29633])).
% 50.12/33.07 tff(29636,plain,
% 50.12/33.07 (~v183(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29635, 26326, 29609])).
% 50.12/33.07 tff(29637,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB147) | v183(constB147) | (~v197(constB147)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB147) | v183(constB147) | (~v197(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29638,plain,
% 50.12/33.07 (((~v197(constB147)) | v183(constB147) | v228(constB147)) <=> (v228(constB147) | v183(constB147) | (~v197(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29639,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB147)) | v183(constB147) | v228(constB147))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB147) | v183(constB147) | (~v197(constB147))))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29638])).
% 50.12/33.07 tff(29640,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB147)) | v183(constB147) | v228(constB147))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB147) | v183(constB147) | (~v197(constB147)))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29639, 29637])).
% 50.12/33.07 tff(29641,plain,
% 50.12/33.07 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB147)) | v183(constB147) | v228(constB147))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29642,plain,
% 50.12/33.07 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB147) | v183(constB147) | (~v197(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29641, 29640])).
% 50.12/33.07 tff(29643,plain,
% 50.12/33.07 (v228(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29642, 26340, 29621, 29636])).
% 50.12/33.07 tff(29644,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB147)) | (~v223(constB147, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB147)) | (~v223(constB147, 1)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29645,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB147)) | (~v223(constB147, 1)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29646,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB147)) | (~v223(constB147, 1))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29645, 29644])).
% 50.12/33.07 tff(29647,plain,
% 50.12/33.07 (~v223(constB147, 1)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29646, 26357, 29643])).
% 50.12/33.07 tff(29648,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB147, 1) | v223(constB147, 0) | (~v229(constB147)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB147, 1) | v223(constB147, 0) | (~v229(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29649,plain,
% 50.12/33.07 ((v223(constB147, 0) | v223(constB147, 1) | (~v229(constB147))) <=> (v223(constB147, 1) | v223(constB147, 0) | (~v229(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29650,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB147, 0) | v223(constB147, 1) | (~v229(constB147)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB147, 1) | v223(constB147, 0) | (~v229(constB147))))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29649])).
% 50.12/33.07 tff(29651,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB147, 0) | v223(constB147, 1) | (~v229(constB147)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB147, 1) | v223(constB147, 0) | (~v229(constB147)))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29650, 29648])).
% 50.12/33.07 tff(29652,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB147, 0) | v223(constB147, 1) | (~v229(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29653,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB147, 1) | v223(constB147, 0) | (~v229(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29652, 29651])).
% 50.12/33.07 tff(29654,plain,
% 50.12/33.07 (~v229(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29653, 26371, 29647, 29632])).
% 50.12/33.07 tff(29655,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB147) | (~v225(constB147)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB147) | (~v225(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29656,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB147) | (~v225(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29657,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB147) | (~v225(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29656, 29655])).
% 50.12/33.07 tff(29658,plain,
% 50.12/33.07 (~v225(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29657, 26388, 29654])).
% 50.12/33.07 tff(29659,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB147)) | (~v200(constB147)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB147)) | (~v200(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29660,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB147)) | (~v200(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29661,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB147)) | (~v200(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 50.12/33.07 tff(29662,plain,
% 50.12/33.07 (~v166(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29661, 26805, 29602])).
% 50.12/33.07 tff(29663,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB147) | v166(constB147) | (~v197(constB147)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB147) | v166(constB147) | (~v197(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29664,plain,
% 50.12/33.07 (((~v197(constB147)) | v166(constB147) | v241(constB147)) <=> (v241(constB147) | v166(constB147) | (~v197(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29665,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB147)) | v166(constB147) | v241(constB147))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB147) | v166(constB147) | (~v197(constB147))))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29664])).
% 50.12/33.07 tff(29666,plain,
% 50.12/33.07 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB147)) | v166(constB147) | v241(constB147))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB147) | v166(constB147) | (~v197(constB147)))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29665, 29663])).
% 50.12/33.07 tff(29667,plain,
% 50.12/33.07 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB147)) | v166(constB147) | v241(constB147))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29668,plain,
% 50.12/33.07 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB147) | v166(constB147) | (~v197(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29667, 29666])).
% 50.12/33.07 tff(29669,plain,
% 50.12/33.07 (v241(constB147) | (~v197(constB147))),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29668, 15198, 29662])).
% 50.12/33.07 tff(29670,plain,
% 50.12/33.07 (v241(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29669, 29621])).
% 50.12/33.07 tff(29671,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB147)) | (~v223(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB147)) | (~v223(constB147, 2)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29672,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB147)) | (~v223(constB147, 2)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29673,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB147)) | (~v223(constB147, 2))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29672, 29671])).
% 50.12/33.07 tff(29674,plain,
% 50.12/33.07 (~v223(constB147, 2)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29673, 15216, 29670])).
% 50.12/33.07 tff(29675,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB147, 2) | (~v242(constB147)) | v225(constB147))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB147, 2) | (~v242(constB147)) | v225(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29676,plain,
% 50.12/33.07 ((v225(constB147) | v223(constB147, 2) | (~v242(constB147))) <=> (v223(constB147, 2) | (~v242(constB147)) | v225(constB147))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29677,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB147) | v223(constB147, 2) | (~v242(constB147)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB147, 2) | (~v242(constB147)) | v225(constB147)))),
% 50.12/33.07 inference(monotonicity,[status(thm)],[29676])).
% 50.12/33.07 tff(29678,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB147) | v223(constB147, 2) | (~v242(constB147)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB147, 2) | (~v242(constB147)) | v225(constB147))),
% 50.12/33.07 inference(transitivity,[status(thm)],[29677, 29675])).
% 50.12/33.07 tff(29679,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB147) | v223(constB147, 2) | (~v242(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29680,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB147, 2) | (~v242(constB147)) | v225(constB147)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29679, 29678])).
% 50.12/33.07 tff(29681,plain,
% 50.12/33.07 ((~v242(constB147)) | v225(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29680, 26831, 29674])).
% 50.12/33.07 tff(29682,plain,
% 50.12/33.07 (~v242(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29681, 29658])).
% 50.12/33.07 tff(29683,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB147) | (~v238(constB147)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB147) | (~v238(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29684,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB147) | (~v238(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29685,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB147) | (~v238(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29684, 29683])).
% 50.12/33.07 tff(29686,plain,
% 50.12/33.07 (~v238(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29685, 26846, 29682])).
% 50.12/33.07 tff(29687,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB147) | (~v237(constB147)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB147) | (~v237(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29688,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB147) | (~v237(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29689,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB147) | (~v237(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29688, 29687])).
% 50.12/33.07 tff(29690,plain,
% 50.12/33.07 (~v237(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29689, 26860, 29686])).
% 50.12/33.07 tff(29691,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB147)) | v223(constB147, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB147)) | v223(constB147, 2))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29692,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB147)) | v223(constB147, 2))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29693,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB147)) | v223(constB147, 2)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29692, 29691])).
% 50.12/33.07 tff(29694,plain,
% 50.12/33.07 (~v224(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29693, 15227, 29674])).
% 50.12/33.07 tff(29695,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB147)) | v223(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB147)) | v223(constB147, 1))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29696,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB147)) | v223(constB147, 1))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29697,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB147)) | v223(constB147, 1)),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29696, 29695])).
% 50.12/33.07 tff(29698,plain,
% 50.12/33.07 (~v222(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29697, 26413, 29647])).
% 50.12/33.07 tff(29699,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB147) | v224(constB147) | (~v236(constB147)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB147) | v224(constB147) | (~v236(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29700,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB147) | v224(constB147) | (~v236(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29701,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB147) | v224(constB147) | (~v236(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 50.12/33.07 tff(29702,plain,
% 50.12/33.07 (~v236(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29701, 15241, 29698, 29694])).
% 50.12/33.07 tff(29703,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB147) | (~v232(constB147)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB147) | (~v232(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29704,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB147) | (~v232(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29705,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB147) | (~v232(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29704, 29703])).
% 50.12/33.07 tff(29706,plain,
% 50.12/33.07 (~v232(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29705, 15255, 29702])).
% 50.12/33.07 tff(29707,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB147) | v237(constB147) | (~v248(constB147)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB147) | v237(constB147) | (~v248(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29708,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB147) | v237(constB147) | (~v248(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29709,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB147) | v237(constB147) | (~v248(constB147))),
% 50.12/33.07 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 50.12/33.07 tff(29710,plain,
% 50.12/33.07 (v237(constB147) | (~v248(constB147))),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29709, 15323, 29706])).
% 50.12/33.07 tff(29711,plain,
% 50.12/33.07 (~v248(constB147)),
% 50.12/33.07 inference(unit_resolution,[status(thm)],[29710, 29690])).
% 50.12/33.07 tff(29712,plain,
% 50.12/33.07 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB147) | (~v244(constB147)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB147) | (~v244(constB147)))),
% 50.12/33.07 inference(rewrite,[status(thm)],[])).
% 50.12/33.07 tff(29713,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB147) | (~v244(constB147)))),
% 50.12/33.07 inference(quant_inst,[status(thm)],[])).
% 50.12/33.07 tff(29714,plain,
% 50.12/33.07 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB147) | (~v244(constB147))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29713, 29712])).
% 50.12/33.08 tff(29715,plain,
% 50.12/33.08 (~v244(constB147)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29714, 15338, 29711])).
% 50.12/33.08 tff(29716,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB147) | (~v216(constB147, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB147) | (~v216(constB147, 1)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29717,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB147) | (~v216(constB147, 1)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29718,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB147) | (~v216(constB147, 1))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29717, 29716])).
% 50.12/33.08 tff(29719,plain,
% 50.12/33.08 (~v216(constB147, 1)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29718, 15352, 29715])).
% 50.12/33.08 tff(29720,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB147)) | v216(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB147)) | v216(constB147, 1))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29721,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB147)) | v216(constB147, 1))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29722,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB147)) | v216(constB147, 1)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 50.12/33.08 tff(29723,plain,
% 50.12/33.08 (~v254(constB147)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29722, 15363, 29719])).
% 50.12/33.08 tff(29724,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB147) | (~v231(constB147)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB147) | (~v231(constB147)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29725,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB147) | (~v231(constB147)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29726,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB147) | (~v231(constB147))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29725, 29724])).
% 50.12/33.08 tff(29727,plain,
% 50.12/33.08 (~v231(constB147)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29726, 26907, 29706])).
% 50.12/33.08 tff(29728,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB147) | (~v221(constB147)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB147) | (~v221(constB147)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29729,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB147) | (~v221(constB147)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29730,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB147) | (~v221(constB147))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 50.12/33.08 tff(29731,plain,
% 50.12/33.08 (~v221(constB147)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29730, 26489, 29698])).
% 50.12/33.08 tff(29732,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB147) | v231(constB147) | (~v243(constB147)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB147) | v231(constB147) | (~v243(constB147)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29733,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB147) | v231(constB147) | (~v243(constB147)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29734,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB147) | v231(constB147) | (~v243(constB147))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29733, 29732])).
% 50.12/33.08 tff(29735,plain,
% 50.12/33.08 (v231(constB147) | (~v243(constB147))),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29734, 15405, 29731])).
% 50.12/33.08 tff(29736,plain,
% 50.12/33.08 (~v243(constB147)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29735, 29727])).
% 50.12/33.08 tff(29737,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB147) | v255(constB147))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB147) | v255(constB147))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29738,plain,
% 50.12/33.08 ((v255(constB147) | v243(constB147)) <=> (v243(constB147) | v255(constB147))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29739,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB147) | v243(constB147))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB147) | v255(constB147)))),
% 50.12/33.08 inference(monotonicity,[status(thm)],[29738])).
% 50.12/33.08 tff(29740,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB147) | v243(constB147))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB147) | v255(constB147))),
% 50.12/33.08 inference(transitivity,[status(thm)],[29739, 29737])).
% 50.12/33.08 tff(29741,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB147) | v243(constB147))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29742,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB147) | v255(constB147)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29741, 29740])).
% 50.12/33.08 tff(29743,plain,
% 50.12/33.08 (v255(constB147)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29742, 15416, 29736])).
% 50.12/33.08 tff(29744,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB147)) | (~v216(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB147)) | (~v216(constB147, 2)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29745,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB147)) | (~v216(constB147, 2)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29746,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB147)) | (~v216(constB147, 2))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29745, 29744])).
% 50.12/33.08 tff(29747,plain,
% 50.12/33.08 (~v216(constB147, 2)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29746, 15433, 29743])).
% 50.12/33.08 tff(29748,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB147, 2) | v254(constB147) | (~v215(constB147)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB147, 2) | v254(constB147) | (~v215(constB147)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29749,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB147, 2) | v254(constB147) | (~v215(constB147)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29750,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB147, 2) | v254(constB147) | (~v215(constB147))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29749, 29748])).
% 50.12/33.08 tff(29751,plain,
% 50.12/33.08 (v254(constB147) | (~v215(constB147))),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29750, 15447, 29747])).
% 50.12/33.08 tff(29752,plain,
% 50.12/33.08 (~v215(constB147)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29751, 29723])).
% 50.12/33.08 tff(29753,plain,
% 50.12/33.08 ($false),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29752, 29579])).
% 50.12/33.08 tff(29754,plain,(~(constB147 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.08 tff(29755,assumption,(constB185 = sK_VarCurr), introduced(assumption)).
% 50.12/33.08 tff(29756,plain,
% 50.12/33.08 (v215(constB185) <=> v215(sK_VarCurr)),
% 50.12/33.08 inference(monotonicity,[status(thm)],[29755])).
% 50.12/33.08 tff(29757,plain,
% 50.12/33.08 (v215(sK_VarCurr) <=> v215(constB185)),
% 50.12/33.08 inference(symmetry,[status(thm)],[29756])).
% 50.12/33.08 tff(29758,plain,
% 50.12/33.08 (v215(constB185)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[34, 29757])).
% 50.12/33.08 tff(29759,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB185, 2)) | v90(constB185, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB185, 2)) | v90(constB185, 2))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29760,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB185, 2)) | v90(constB185, 2))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29761,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB185, 2)) | v90(constB185, 2)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 50.12/33.08 tff(29762,plain,
% 50.12/33.08 (~v88(constB185, 2)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29761, 26020, 22822])).
% 50.12/33.08 tff(29763,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB185, 0)) | v90(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB185, 0)) | v90(constB185, 0))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29764,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB185, 0)) | v90(constB185, 0))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29765,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB185, 0)) | v90(constB185, 0)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 50.12/33.08 tff(29766,plain,
% 50.12/33.08 (~v88(constB185, 0)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29765, 14930, 22887])).
% 50.12/33.08 tff(29767,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB185, 1)) | v88(constB185, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB185, 1)) | v88(constB185, 1))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29768,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB185, 1)) | v88(constB185, 1))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29769,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB185, 1)) | v88(constB185, 1)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29768, 29767])).
% 50.12/33.08 tff(29770,plain,
% 50.12/33.08 (v88(constB185, 1)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29769, 15014, 22853])).
% 50.12/33.08 tff(29771,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB185, 1)) | v88(constB185, 2) | v88(constB185, 0) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB185, 1)) | v88(constB185, 2) | v88(constB185, 0) | v143(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29772,plain,
% 50.12/33.08 ((v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185)) <=> ((~v88(constB185, 1)) | v88(constB185, 2) | v88(constB185, 0) | v143(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29773,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB185, 1)) | v88(constB185, 2) | v88(constB185, 0) | v143(constB185)))),
% 50.12/33.08 inference(monotonicity,[status(thm)],[29772])).
% 50.12/33.08 tff(29774,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB185, 1)) | v88(constB185, 2) | v88(constB185, 0) | v143(constB185))),
% 50.12/33.08 inference(transitivity,[status(thm)],[29773, 29771])).
% 50.12/33.08 tff(29775,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29776,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB185, 1)) | v88(constB185, 2) | v88(constB185, 0) | v143(constB185)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29775, 29774])).
% 50.12/33.08 tff(29777,plain,
% 50.12/33.08 (v143(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29776, 26042, 29770, 29766, 29762])).
% 50.12/33.08 tff(29778,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB185)) | v142(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29779,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29780,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB185)) | v142(constB185)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29779, 29778])).
% 50.12/33.08 tff(29781,plain,
% 50.12/33.08 (v142(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29780, 26056, 29777])).
% 50.12/33.08 tff(29782,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB185)) | v198(constB185))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB185)) | v198(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29783,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB185)) | v198(constB185))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29784,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB185)) | v198(constB185)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 50.12/33.08 tff(29785,plain,
% 50.12/33.08 (v198(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29784, 15053, 29781])).
% 50.12/33.08 tff(29786,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB185)) | (~v201(constB185)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB185)) | (~v201(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29787,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB185)) | (~v201(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29788,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB185)) | (~v201(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29787, 29786])).
% 50.12/33.08 tff(29789,plain,
% 50.12/33.08 (~v201(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29788, 15064, 29785])).
% 50.12/33.08 tff(29790,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB185) | (~v198(constB185)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB185) | (~v198(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29791,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB185) | (~v198(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29792,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB185) | (~v198(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29791, 29790])).
% 50.12/33.08 tff(29793,plain,
% 50.12/33.08 (v197(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29792, 15078, 29785])).
% 50.12/33.08 tff(29794,plain,
% 50.12/33.08 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB185) | (~v197(constB185)) | v201(constB185))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB185) | (~v197(constB185)) | v201(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29795,plain,
% 50.12/33.08 (((~v197(constB185)) | v201(constB185) | v227(constB185)) <=> (v227(constB185) | (~v197(constB185)) | v201(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29796,plain,
% 50.12/33.08 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB185)) | v201(constB185) | v227(constB185))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB185) | (~v197(constB185)) | v201(constB185)))),
% 50.12/33.08 inference(monotonicity,[status(thm)],[29795])).
% 50.12/33.08 tff(29797,plain,
% 50.12/33.08 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB185)) | v201(constB185) | v227(constB185))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB185) | (~v197(constB185)) | v201(constB185))),
% 50.12/33.08 inference(transitivity,[status(thm)],[29796, 29794])).
% 50.12/33.08 tff(29798,plain,
% 50.12/33.08 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB185)) | v201(constB185) | v227(constB185))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29799,plain,
% 50.12/33.08 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB185) | (~v197(constB185)) | v201(constB185)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29798, 29797])).
% 50.12/33.08 tff(29800,plain,
% 50.12/33.08 (v227(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29799, 15092, 29793, 29789])).
% 50.12/33.08 tff(29801,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB185)) | (~v223(constB185, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB185)) | (~v223(constB185, 0)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29802,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB185)) | (~v223(constB185, 0)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29803,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB185)) | (~v223(constB185, 0))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29802, 29801])).
% 50.12/33.08 tff(29804,plain,
% 50.12/33.08 (~v223(constB185, 0)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29803, 15109, 29800])).
% 50.12/33.08 tff(29805,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB185)) | v223(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB185)) | v223(constB185, 0))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29806,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB185)) | v223(constB185, 0))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29807,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB185)) | v223(constB185, 0)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29806, 29805])).
% 50.12/33.08 tff(29808,plain,
% 50.12/33.08 (~v222(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29807, 15120, 29804])).
% 50.12/33.08 tff(29809,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB185)) | (~v88(constB185, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB185)) | (~v88(constB185, 1)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29810,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB185)) | (~v88(constB185, 1)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29811,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB185)) | (~v88(constB185, 1))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29810, 29809])).
% 50.12/33.08 tff(29812,plain,
% 50.12/33.08 (~v139(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29811, 15131, 29770])).
% 50.12/33.08 tff(29813,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB185)) | (~v88(constB185, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB185)) | (~v88(constB185, 1)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29814,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB185)) | (~v88(constB185, 1)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29815,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB185)) | (~v88(constB185, 1))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29814, 29813])).
% 50.12/33.08 tff(29816,plain,
% 50.12/33.08 (~v140(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29815, 15142, 29770])).
% 50.12/33.08 tff(29817,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v200(constB185)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB185) | v140(constB185) | (~v200(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29818,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v200(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29819,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB185) | v140(constB185) | (~v200(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29818, 29817])).
% 50.12/33.08 tff(29820,plain,
% 50.12/33.08 (~v200(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29819, 15156, 29816, 29812])).
% 50.12/33.08 tff(29821,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB185)) | v88(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB185)) | v88(constB185, 0))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29822,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB185)) | v88(constB185, 0))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29823,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB185)) | v88(constB185, 0)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29822, 29821])).
% 50.12/33.08 tff(29824,plain,
% 50.12/33.08 (~v141(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29823, 26106, 29766])).
% 50.12/33.08 tff(29825,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB185) | v200(constB185) | (~v166(constB185)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB185) | v200(constB185) | (~v166(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29826,plain,
% 50.12/33.08 ((v141(constB185) | (~v166(constB185)) | v200(constB185)) <=> (v141(constB185) | v200(constB185) | (~v166(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29827,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB185) | (~v166(constB185)) | v200(constB185))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB185) | v200(constB185) | (~v166(constB185))))),
% 50.12/33.08 inference(monotonicity,[status(thm)],[29826])).
% 50.12/33.08 tff(29828,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB185) | (~v166(constB185)) | v200(constB185))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB185) | v200(constB185) | (~v166(constB185)))),
% 50.12/33.08 inference(transitivity,[status(thm)],[29827, 29825])).
% 50.12/33.08 tff(29829,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB185) | (~v166(constB185)) | v200(constB185))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29830,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB185) | v200(constB185) | (~v166(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29829, 29828])).
% 50.12/33.08 tff(29831,plain,
% 50.12/33.08 (~v166(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29830, 15181, 29824, 29820])).
% 50.12/33.08 tff(29832,plain,
% 50.12/33.08 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB185) | v166(constB185) | (~v197(constB185)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB185) | v166(constB185) | (~v197(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29833,plain,
% 50.12/33.08 (((~v197(constB185)) | v166(constB185) | v241(constB185)) <=> (v241(constB185) | v166(constB185) | (~v197(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29834,plain,
% 50.12/33.08 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB185)) | v166(constB185) | v241(constB185))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB185) | v166(constB185) | (~v197(constB185))))),
% 50.12/33.08 inference(monotonicity,[status(thm)],[29833])).
% 50.12/33.08 tff(29835,plain,
% 50.12/33.08 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB185)) | v166(constB185) | v241(constB185))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB185) | v166(constB185) | (~v197(constB185)))),
% 50.12/33.08 inference(transitivity,[status(thm)],[29834, 29832])).
% 50.12/33.08 tff(29836,plain,
% 50.12/33.08 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB185)) | v166(constB185) | v241(constB185))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29837,plain,
% 50.12/33.08 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB185) | v166(constB185) | (~v197(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29836, 29835])).
% 50.12/33.08 tff(29838,plain,
% 50.12/33.08 (v241(constB185) | (~v197(constB185))),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29837, 15198, 29831])).
% 50.12/33.08 tff(29839,plain,
% 50.12/33.08 (v241(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29838, 29793])).
% 50.12/33.08 tff(29840,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB185)) | (~v223(constB185, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB185)) | (~v223(constB185, 2)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29841,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB185)) | (~v223(constB185, 2)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29842,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB185)) | (~v223(constB185, 2))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29841, 29840])).
% 50.12/33.08 tff(29843,plain,
% 50.12/33.08 (~v223(constB185, 2)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29842, 15216, 29839])).
% 50.12/33.08 tff(29844,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB185)) | v223(constB185, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB185)) | v223(constB185, 2))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29845,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB185)) | v223(constB185, 2))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29846,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB185)) | v223(constB185, 2)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29845, 29844])).
% 50.12/33.08 tff(29847,plain,
% 50.12/33.08 (~v224(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29846, 15227, 29843])).
% 50.12/33.08 tff(29848,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB185) | v224(constB185) | (~v236(constB185)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB185) | v224(constB185) | (~v236(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29849,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB185) | v224(constB185) | (~v236(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29850,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB185) | v224(constB185) | (~v236(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 50.12/33.08 tff(29851,plain,
% 50.12/33.08 (~v236(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29850, 15241, 29847, 29808])).
% 50.12/33.08 tff(29852,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB185) | (~v232(constB185)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB185) | (~v232(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29853,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB185) | (~v232(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29854,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB185) | (~v232(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 50.12/33.08 tff(29855,plain,
% 50.12/33.08 (~v232(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29854, 15255, 29851])).
% 50.12/33.08 tff(29856,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v148(constB185)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB185) | v140(constB185) | (~v148(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29857,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v148(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29858,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB185) | v140(constB185) | (~v148(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29857, 29856])).
% 50.12/33.08 tff(29859,plain,
% 50.12/33.08 (~v148(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29858, 15269, 29816, 29812])).
% 50.12/33.08 tff(29860,plain,
% 50.12/33.08 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB185) | v252(constB185) | (~v197(constB185)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB185) | v252(constB185) | (~v197(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29861,plain,
% 50.12/33.08 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB185) | v252(constB185) | (~v197(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29862,plain,
% 50.12/33.08 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB185) | v252(constB185) | (~v197(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 50.12/33.08 tff(29863,plain,
% 50.12/33.08 (v252(constB185) | (~v197(constB185))),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29862, 15283, 29859])).
% 50.12/33.08 tff(29864,plain,
% 50.12/33.08 (v252(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29863, 29793])).
% 50.12/33.08 tff(29865,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB185)) | (~v223(constB185, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB185)) | (~v223(constB185, 3)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29866,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB185)) | (~v223(constB185, 3)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29867,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB185)) | (~v223(constB185, 3))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29866, 29865])).
% 50.12/33.08 tff(29868,plain,
% 50.12/33.08 (~v223(constB185, 3)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29867, 15298, 29864])).
% 50.12/33.08 tff(29869,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB185)) | v223(constB185, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB185)) | v223(constB185, 3))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29870,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB185)) | v223(constB185, 3))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29871,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB185)) | v223(constB185, 3)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29870, 29869])).
% 50.12/33.08 tff(29872,plain,
% 50.12/33.08 (~v237(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29871, 15309, 29868])).
% 50.12/33.08 tff(29873,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB185) | v237(constB185) | (~v248(constB185)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB185) | v237(constB185) | (~v248(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29874,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB185) | v237(constB185) | (~v248(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29875,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB185) | v237(constB185) | (~v248(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29874, 29873])).
% 50.12/33.08 tff(29876,plain,
% 50.12/33.08 (v232(constB185) | (~v248(constB185))),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29875, 15323, 29872])).
% 50.12/33.08 tff(29877,plain,
% 50.12/33.08 (~v248(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29876, 29855])).
% 50.12/33.08 tff(29878,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB185) | (~v244(constB185)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB185) | (~v244(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29879,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB185) | (~v244(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29880,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB185) | (~v244(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 50.12/33.08 tff(29881,plain,
% 50.12/33.08 (~v244(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29880, 15338, 29877])).
% 50.12/33.08 tff(29882,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB185) | (~v216(constB185, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB185) | (~v216(constB185, 1)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29883,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB185) | (~v216(constB185, 1)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29884,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB185) | (~v216(constB185, 1))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29883, 29882])).
% 50.12/33.08 tff(29885,plain,
% 50.12/33.08 (~v216(constB185, 1)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29884, 15352, 29881])).
% 50.12/33.08 tff(29886,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB185)) | v216(constB185, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB185)) | v216(constB185, 1))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29887,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB185)) | v216(constB185, 1))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29888,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB185)) | v216(constB185, 1)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29887, 29886])).
% 50.12/33.08 tff(29889,plain,
% 50.12/33.08 (~v254(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29888, 15363, 29885])).
% 50.12/33.08 tff(29890,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB185) | (~v221(constB185)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB185) | (~v221(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29891,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB185) | (~v221(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29892,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB185) | (~v221(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29891, 29890])).
% 50.12/33.08 tff(29893,plain,
% 50.12/33.08 (~v221(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29892, 15377, 29847])).
% 50.12/33.08 tff(29894,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB185) | (~v231(constB185)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB185) | (~v231(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29895,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB185) | (~v231(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29896,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB185) | (~v231(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29895, 29894])).
% 50.12/33.08 tff(29897,plain,
% 50.12/33.08 (~v231(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29896, 15391, 29872])).
% 50.12/33.08 tff(29898,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB185) | v231(constB185) | (~v243(constB185)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB185) | v231(constB185) | (~v243(constB185)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29899,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB185) | v231(constB185) | (~v243(constB185)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29900,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB185) | v231(constB185) | (~v243(constB185))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29899, 29898])).
% 50.12/33.08 tff(29901,plain,
% 50.12/33.08 (~v243(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29900, 15405, 29897, 29893])).
% 50.12/33.08 tff(29902,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB185) | v255(constB185))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB185) | v255(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29903,plain,
% 50.12/33.08 ((v255(constB185) | v243(constB185)) <=> (v243(constB185) | v255(constB185))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29904,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB185) | v243(constB185))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB185) | v255(constB185)))),
% 50.12/33.08 inference(monotonicity,[status(thm)],[29903])).
% 50.12/33.08 tff(29905,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB185) | v243(constB185))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB185) | v255(constB185))),
% 50.12/33.08 inference(transitivity,[status(thm)],[29904, 29902])).
% 50.12/33.08 tff(29906,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB185) | v243(constB185))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29907,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB185) | v255(constB185)),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29906, 29905])).
% 50.12/33.08 tff(29908,plain,
% 50.12/33.08 (v255(constB185)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29907, 15416, 29901])).
% 50.12/33.08 tff(29909,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB185)) | (~v216(constB185, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB185)) | (~v216(constB185, 2)))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29910,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB185)) | (~v216(constB185, 2)))),
% 50.12/33.08 inference(quant_inst,[status(thm)],[])).
% 50.12/33.08 tff(29911,plain,
% 50.12/33.08 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB185)) | (~v216(constB185, 2))),
% 50.12/33.08 inference(modus_ponens,[status(thm)],[29910, 29909])).
% 50.12/33.08 tff(29912,plain,
% 50.12/33.08 (~v216(constB185, 2)),
% 50.12/33.08 inference(unit_resolution,[status(thm)],[29911, 15433, 29908])).
% 50.12/33.08 tff(29913,plain,
% 50.12/33.08 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB185) | (~v215(constB185)) | v216(constB185, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB185) | (~v215(constB185)) | v216(constB185, 2))),
% 50.12/33.08 inference(rewrite,[status(thm)],[])).
% 50.12/33.08 tff(29914,plain,
% 50.12/33.08 ((v216(constB185, 2) | v254(constB185) | (~v215(constB185))) <=> (v254(constB185) | (~v215(constB185)) | v216(constB185, 2))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29915,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB185, 2) | v254(constB185) | (~v215(constB185)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB185) | (~v215(constB185)) | v216(constB185, 2)))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[29914])).
% 50.12/33.09 tff(29916,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB185, 2) | v254(constB185) | (~v215(constB185)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB185) | (~v215(constB185)) | v216(constB185, 2))),
% 50.12/33.09 inference(transitivity,[status(thm)],[29915, 29913])).
% 50.12/33.09 tff(29917,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB185, 2) | v254(constB185) | (~v215(constB185)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29918,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB185) | (~v215(constB185)) | v216(constB185, 2)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 50.12/33.09 tff(29919,plain,
% 50.12/33.09 (v254(constB185) | (~v215(constB185))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29918, 15447, 29912])).
% 50.12/33.09 tff(29920,plain,
% 50.12/33.09 (~v215(constB185)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29919, 29889])).
% 50.12/33.09 tff(29921,plain,
% 50.12/33.09 ($false),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29920, 29758])).
% 50.12/33.09 tff(29922,plain,(~(constB185 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.09 tff(29923,assumption,(constB3 = sK_VarCurr), introduced(assumption)).
% 50.12/33.09 tff(29924,plain,
% 50.12/33.09 (v215(constB3) <=> v215(sK_VarCurr)),
% 50.12/33.09 inference(monotonicity,[status(thm)],[29923])).
% 50.12/33.09 tff(29925,plain,
% 50.12/33.09 (v215(sK_VarCurr) <=> v215(constB3)),
% 50.12/33.09 inference(symmetry,[status(thm)],[29924])).
% 50.12/33.09 tff(29926,plain,
% 50.12/33.09 (v215(constB3)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[34, 29925])).
% 50.12/33.09 tff(29927,plain,
% 50.12/33.09 (~v127(constB1, 2)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[600, 74])).
% 50.12/33.09 tff(29928,plain,
% 50.12/33.09 (~v129(constB2, 2)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[615, 29927])).
% 50.12/33.09 tff(29929,plain,
% 50.12/33.09 ((~v90(constB2, 2)) | (~v100(constB2))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[629, 626, 29928])).
% 50.12/33.09 tff(29930,plain,
% 50.12/33.09 (~v90(constB2, 2)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29929, 386])).
% 50.12/33.09 tff(29931,plain,
% 50.12/33.09 (~v90(constB3, 2)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[639, 29930])).
% 50.12/33.09 tff(29932,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB3, 2)) | v90(constB3, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB3, 2)) | v90(constB3, 2))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29933,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB3, 2)) | v90(constB3, 2))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29934,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB3, 2)) | v90(constB3, 2)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29933, 29932])).
% 50.12/33.09 tff(29935,plain,
% 50.12/33.09 (~v88(constB3, 2)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29934, 26020, 29931])).
% 50.12/33.09 tff(29936,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB3, 1)) | v90(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB3, 1)) | v90(constB3, 1))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29937,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB3, 1)) | v90(constB3, 1))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29938,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB3, 1)) | v90(constB3, 1)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29937, 29936])).
% 50.12/33.09 tff(29939,plain,
% 50.12/33.09 (~v88(constB3, 1)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29938, 26697, 488])).
% 50.12/33.09 tff(29940,plain,
% 50.12/33.09 (v127(constB1, 0)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[519, 74])).
% 50.12/33.09 tff(29941,plain,
% 50.12/33.09 (v129(constB2, 0)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[534, 29940])).
% 50.12/33.09 tff(29942,plain,
% 50.12/33.09 (v90(constB2, 0) | (~v100(constB2))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[551, 545, 29941])).
% 50.12/33.09 tff(29943,plain,
% 50.12/33.09 (v90(constB2, 0)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29942, 386])).
% 50.12/33.09 tff(29944,plain,
% 50.12/33.09 (v90(constB3, 0)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[571, 29943])).
% 50.12/33.09 tff(29945,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB3, 0)) | v88(constB3, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB3, 0)) | v88(constB3, 0))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29946,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB3, 0)) | v88(constB3, 0))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29947,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB3, 0)) | v88(constB3, 0)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29946, 29945])).
% 50.12/33.09 tff(29948,plain,
% 50.12/33.09 (v88(constB3, 0)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29947, 26254, 29944])).
% 50.12/33.09 tff(29949,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 1) | v88(constB3, 2) | (~v88(constB3, 0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB3, 1) | v88(constB3, 2) | (~v88(constB3, 0)) | v140(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29950,plain,
% 50.12/33.09 ((v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3)) <=> (v88(constB3, 1) | v88(constB3, 2) | (~v88(constB3, 0)) | v140(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29951,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 1) | v88(constB3, 2) | (~v88(constB3, 0)) | v140(constB3)))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[29950])).
% 50.12/33.09 tff(29952,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB3, 1) | v88(constB3, 2) | (~v88(constB3, 0)) | v140(constB3))),
% 50.12/33.09 inference(transitivity,[status(thm)],[29951, 29949])).
% 50.12/33.09 tff(29953,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29954,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB3, 1) | v88(constB3, 2) | (~v88(constB3, 0)) | v140(constB3)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29953, 29952])).
% 50.12/33.09 tff(29955,plain,
% 50.12/33.09 (v140(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29954, 26719, 29948, 29939, 29935])).
% 50.12/33.09 tff(29956,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB3)) | v200(constB3))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB3)) | v200(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29957,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB3)) | v200(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29958,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB3)) | v200(constB3)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29957, 29956])).
% 50.12/33.09 tff(29959,plain,
% 50.12/33.09 (v200(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29958, 26731, 29955])).
% 50.12/33.09 tff(29960,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB3) | (~v200(constB3)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB3) | (~v200(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29961,plain,
% 50.12/33.09 (((~v200(constB3)) | v199(constB3)) <=> (v199(constB3) | (~v200(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29962,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB3)) | v199(constB3))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB3) | (~v200(constB3))))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[29961])).
% 50.12/33.09 tff(29963,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB3)) | v199(constB3))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB3) | (~v200(constB3)))),
% 50.12/33.09 inference(transitivity,[status(thm)],[29962, 29960])).
% 50.12/33.09 tff(29964,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB3)) | v199(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29965,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB3) | (~v200(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29964, 29963])).
% 50.12/33.09 tff(29966,plain,
% 50.12/33.09 (v199(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29965, 26742, 29959])).
% 50.12/33.09 tff(29967,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB3) | (~v199(constB3)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB3) | (~v199(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29968,plain,
% 50.12/33.09 (((~v199(constB3)) | v198(constB3)) <=> (v198(constB3) | (~v199(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29969,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB3)) | v198(constB3))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB3) | (~v199(constB3))))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[29968])).
% 50.12/33.09 tff(29970,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB3)) | v198(constB3))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB3) | (~v199(constB3)))),
% 50.12/33.09 inference(transitivity,[status(thm)],[29969, 29967])).
% 50.12/33.09 tff(29971,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB3)) | v198(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29972,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB3) | (~v199(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 50.12/33.09 tff(29973,plain,
% 50.12/33.09 (v198(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29972, 26293, 29966])).
% 50.12/33.09 tff(29974,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB3)) | (~v201(constB3)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB3)) | (~v201(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29975,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB3)) | (~v201(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29976,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB3)) | (~v201(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 50.12/33.09 tff(29977,plain,
% 50.12/33.09 (~v201(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29976, 15064, 29973])).
% 50.12/33.09 tff(29978,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB3) | (~v198(constB3)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB3) | (~v198(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29979,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB3) | (~v198(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29980,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB3) | (~v198(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29979, 29978])).
% 50.12/33.09 tff(29981,plain,
% 50.12/33.09 (v197(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29980, 15078, 29973])).
% 50.12/33.09 tff(29982,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB3) | (~v197(constB3)) | v201(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB3) | (~v197(constB3)) | v201(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29983,plain,
% 50.12/33.09 (((~v197(constB3)) | v201(constB3) | v227(constB3)) <=> (v227(constB3) | (~v197(constB3)) | v201(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29984,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB3)) | v201(constB3) | v227(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB3) | (~v197(constB3)) | v201(constB3)))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[29983])).
% 50.12/33.09 tff(29985,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB3)) | v201(constB3) | v227(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB3) | (~v197(constB3)) | v201(constB3))),
% 50.12/33.09 inference(transitivity,[status(thm)],[29984, 29982])).
% 50.12/33.09 tff(29986,plain,
% 50.12/33.09 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB3)) | v201(constB3) | v227(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29987,plain,
% 50.12/33.09 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB3) | (~v197(constB3)) | v201(constB3)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29986, 29985])).
% 50.12/33.09 tff(29988,plain,
% 50.12/33.09 (v227(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29987, 15092, 29981, 29977])).
% 50.12/33.09 tff(29989,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB3)) | (~v223(constB3, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB3)) | (~v223(constB3, 0)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29990,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB3)) | (~v223(constB3, 0)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29991,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB3)) | (~v223(constB3, 0))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29990, 29989])).
% 50.12/33.09 tff(29992,plain,
% 50.12/33.09 (~v223(constB3, 0)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29991, 15109, 29988])).
% 50.12/33.09 tff(29993,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB3)) | (~v199(constB3)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB3)) | (~v199(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29994,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB3)) | (~v199(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(29995,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB3)) | (~v199(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 50.12/33.09 tff(29996,plain,
% 50.12/33.09 (~v183(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[29995, 26326, 29966])).
% 50.12/33.09 tff(29997,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB3) | (~v197(constB3)) | v183(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB3) | (~v197(constB3)) | v183(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29998,plain,
% 50.12/33.09 (((~v197(constB3)) | v183(constB3) | v228(constB3)) <=> (v228(constB3) | (~v197(constB3)) | v183(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(29999,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB3)) | v183(constB3) | v228(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB3) | (~v197(constB3)) | v183(constB3)))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[29998])).
% 50.12/33.09 tff(30000,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB3)) | v183(constB3) | v228(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB3) | (~v197(constB3)) | v183(constB3))),
% 50.12/33.09 inference(transitivity,[status(thm)],[29999, 29997])).
% 50.12/33.09 tff(30001,plain,
% 50.12/33.09 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB3)) | v183(constB3) | v228(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30002,plain,
% 50.12/33.09 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB3) | (~v197(constB3)) | v183(constB3)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30001, 30000])).
% 50.12/33.09 tff(30003,plain,
% 50.12/33.09 (v228(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30002, 26340, 29981, 29996])).
% 50.12/33.09 tff(30004,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB3)) | (~v223(constB3, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB3)) | (~v223(constB3, 1)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30005,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB3)) | (~v223(constB3, 1)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30006,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB3)) | (~v223(constB3, 1))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 50.12/33.09 tff(30007,plain,
% 50.12/33.09 (~v223(constB3, 1)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30006, 26357, 30003])).
% 50.12/33.09 tff(30008,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB3, 1) | v223(constB3, 0) | (~v229(constB3)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB3, 1) | v223(constB3, 0) | (~v229(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30009,plain,
% 50.12/33.09 ((v223(constB3, 0) | v223(constB3, 1) | (~v229(constB3))) <=> (v223(constB3, 1) | v223(constB3, 0) | (~v229(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30010,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB3, 0) | v223(constB3, 1) | (~v229(constB3)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB3, 1) | v223(constB3, 0) | (~v229(constB3))))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[30009])).
% 50.12/33.09 tff(30011,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB3, 0) | v223(constB3, 1) | (~v229(constB3)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB3, 1) | v223(constB3, 0) | (~v229(constB3)))),
% 50.12/33.09 inference(transitivity,[status(thm)],[30010, 30008])).
% 50.12/33.09 tff(30012,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB3, 0) | v223(constB3, 1) | (~v229(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30013,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB3, 1) | v223(constB3, 0) | (~v229(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30012, 30011])).
% 50.12/33.09 tff(30014,plain,
% 50.12/33.09 (~v229(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30013, 26371, 30007, 29992])).
% 50.12/33.09 tff(30015,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB3) | (~v225(constB3)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB3) | (~v225(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30016,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB3) | (~v225(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30017,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB3) | (~v225(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30016, 30015])).
% 50.12/33.09 tff(30018,plain,
% 50.12/33.09 (~v225(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30017, 26388, 30014])).
% 50.12/33.09 tff(30019,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB3)) | (~v200(constB3)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB3)) | (~v200(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30020,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB3)) | (~v200(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30021,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB3)) | (~v200(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30020, 30019])).
% 50.12/33.09 tff(30022,plain,
% 50.12/33.09 (~v166(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30021, 26805, 29959])).
% 50.12/33.09 tff(30023,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB3) | (~v197(constB3)) | v166(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB3) | (~v197(constB3)) | v166(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30024,plain,
% 50.12/33.09 (((~v197(constB3)) | v166(constB3) | v241(constB3)) <=> (v241(constB3) | (~v197(constB3)) | v166(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30025,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB3)) | v166(constB3) | v241(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB3) | (~v197(constB3)) | v166(constB3)))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[30024])).
% 50.12/33.09 tff(30026,plain,
% 50.12/33.09 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB3)) | v166(constB3) | v241(constB3))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB3) | (~v197(constB3)) | v166(constB3))),
% 50.12/33.09 inference(transitivity,[status(thm)],[30025, 30023])).
% 50.12/33.09 tff(30027,plain,
% 50.12/33.09 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB3)) | v166(constB3) | v241(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30028,plain,
% 50.12/33.09 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB3) | (~v197(constB3)) | v166(constB3)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30027, 30026])).
% 50.12/33.09 tff(30029,plain,
% 50.12/33.09 (v241(constB3) | (~v197(constB3))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30028, 15198, 30022])).
% 50.12/33.09 tff(30030,plain,
% 50.12/33.09 (v241(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30029, 29981])).
% 50.12/33.09 tff(30031,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB3)) | (~v223(constB3, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB3)) | (~v223(constB3, 2)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30032,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB3)) | (~v223(constB3, 2)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30033,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB3)) | (~v223(constB3, 2))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30032, 30031])).
% 50.12/33.09 tff(30034,plain,
% 50.12/33.09 (~v223(constB3, 2)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30033, 15216, 30030])).
% 50.12/33.09 tff(30035,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB3, 2) | v225(constB3) | (~v242(constB3)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB3, 2) | v225(constB3) | (~v242(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30036,plain,
% 50.12/33.09 ((v225(constB3) | v223(constB3, 2) | (~v242(constB3))) <=> (v223(constB3, 2) | v225(constB3) | (~v242(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30037,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB3) | v223(constB3, 2) | (~v242(constB3)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB3, 2) | v225(constB3) | (~v242(constB3))))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[30036])).
% 50.12/33.09 tff(30038,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB3) | v223(constB3, 2) | (~v242(constB3)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB3, 2) | v225(constB3) | (~v242(constB3)))),
% 50.12/33.09 inference(transitivity,[status(thm)],[30037, 30035])).
% 50.12/33.09 tff(30039,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB3) | v223(constB3, 2) | (~v242(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30040,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB3, 2) | v225(constB3) | (~v242(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30039, 30038])).
% 50.12/33.09 tff(30041,plain,
% 50.12/33.09 (v225(constB3) | (~v242(constB3))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30040, 26831, 30034])).
% 50.12/33.09 tff(30042,plain,
% 50.12/33.09 (~v242(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30041, 30018])).
% 50.12/33.09 tff(30043,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB3) | (~v238(constB3)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB3) | (~v238(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30044,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB3) | (~v238(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30045,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB3) | (~v238(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 50.12/33.09 tff(30046,plain,
% 50.12/33.09 (~v238(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30045, 26846, 30042])).
% 50.12/33.09 tff(30047,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB3) | (~v237(constB3)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB3) | (~v237(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30048,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB3) | (~v237(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30049,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB3) | (~v237(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30048, 30047])).
% 50.12/33.09 tff(30050,plain,
% 50.12/33.09 (~v237(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30049, 26860, 30046])).
% 50.12/33.09 tff(30051,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB3)) | v223(constB3, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB3)) | v223(constB3, 2))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30052,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB3)) | v223(constB3, 2))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30053,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB3)) | v223(constB3, 2)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30052, 30051])).
% 50.12/33.09 tff(30054,plain,
% 50.12/33.09 (~v224(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30053, 15227, 30034])).
% 50.12/33.09 tff(30055,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB3)) | v223(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB3)) | v223(constB3, 1))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30056,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB3)) | v223(constB3, 1))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30057,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB3)) | v223(constB3, 1)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30056, 30055])).
% 50.12/33.09 tff(30058,plain,
% 50.12/33.09 (~v222(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30057, 26413, 30007])).
% 50.12/33.09 tff(30059,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB3) | v224(constB3) | (~v236(constB3)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB3) | v224(constB3) | (~v236(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30060,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB3) | v224(constB3) | (~v236(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30061,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB3) | v224(constB3) | (~v236(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30060, 30059])).
% 50.12/33.09 tff(30062,plain,
% 50.12/33.09 (~v236(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30061, 15241, 30058, 30054])).
% 50.12/33.09 tff(30063,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB3) | (~v232(constB3)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB3) | (~v232(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30064,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB3) | (~v232(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30065,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB3) | (~v232(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30064, 30063])).
% 50.12/33.09 tff(30066,plain,
% 50.12/33.09 (~v232(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30065, 15255, 30062])).
% 50.12/33.09 tff(30067,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB3) | v237(constB3) | (~v248(constB3)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB3) | v237(constB3) | (~v248(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30068,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB3) | v237(constB3) | (~v248(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30069,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB3) | v237(constB3) | (~v248(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30068, 30067])).
% 50.12/33.09 tff(30070,plain,
% 50.12/33.09 (v237(constB3) | (~v248(constB3))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30069, 15323, 30066])).
% 50.12/33.09 tff(30071,plain,
% 50.12/33.09 (~v248(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30070, 30050])).
% 50.12/33.09 tff(30072,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB3) | (~v244(constB3)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB3) | (~v244(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30073,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB3) | (~v244(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30074,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB3) | (~v244(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30073, 30072])).
% 50.12/33.09 tff(30075,plain,
% 50.12/33.09 (~v244(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30074, 15338, 30071])).
% 50.12/33.09 tff(30076,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB3) | (~v216(constB3, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB3) | (~v216(constB3, 1)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30077,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB3) | (~v216(constB3, 1)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30078,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB3) | (~v216(constB3, 1))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30077, 30076])).
% 50.12/33.09 tff(30079,plain,
% 50.12/33.09 (~v216(constB3, 1)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30078, 15352, 30075])).
% 50.12/33.09 tff(30080,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB3)) | v216(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB3)) | v216(constB3, 1))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30081,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB3)) | v216(constB3, 1))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30082,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB3)) | v216(constB3, 1)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30081, 30080])).
% 50.12/33.09 tff(30083,plain,
% 50.12/33.09 (~v254(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30082, 15363, 30079])).
% 50.12/33.09 tff(30084,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB3) | (~v231(constB3)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB3) | (~v231(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30085,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB3) | (~v231(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30086,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB3) | (~v231(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30085, 30084])).
% 50.12/33.09 tff(30087,plain,
% 50.12/33.09 (~v231(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30086, 26907, 30066])).
% 50.12/33.09 tff(30088,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB3) | (~v221(constB3)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB3) | (~v221(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30089,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB3) | (~v221(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30090,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB3) | (~v221(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30089, 30088])).
% 50.12/33.09 tff(30091,plain,
% 50.12/33.09 (~v221(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30090, 26489, 30058])).
% 50.12/33.09 tff(30092,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB3) | v231(constB3) | (~v243(constB3)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB3) | v231(constB3) | (~v243(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30093,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB3) | v231(constB3) | (~v243(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30094,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB3) | v231(constB3) | (~v243(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30093, 30092])).
% 50.12/33.09 tff(30095,plain,
% 50.12/33.09 (v231(constB3) | (~v243(constB3))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30094, 15405, 30091])).
% 50.12/33.09 tff(30096,plain,
% 50.12/33.09 (~v243(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30095, 30087])).
% 50.12/33.09 tff(30097,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB3) | v255(constB3))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB3) | v255(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30098,plain,
% 50.12/33.09 ((v255(constB3) | v243(constB3)) <=> (v243(constB3) | v255(constB3))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30099,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB3) | v243(constB3))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB3) | v255(constB3)))),
% 50.12/33.09 inference(monotonicity,[status(thm)],[30098])).
% 50.12/33.09 tff(30100,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB3) | v243(constB3))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB3) | v255(constB3))),
% 50.12/33.09 inference(transitivity,[status(thm)],[30099, 30097])).
% 50.12/33.09 tff(30101,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB3) | v243(constB3))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30102,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB3) | v255(constB3)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30101, 30100])).
% 50.12/33.09 tff(30103,plain,
% 50.12/33.09 (v255(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30102, 15416, 30096])).
% 50.12/33.09 tff(30104,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB3)) | (~v216(constB3, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB3)) | (~v216(constB3, 2)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30105,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB3)) | (~v216(constB3, 2)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30106,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB3)) | (~v216(constB3, 2))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30105, 30104])).
% 50.12/33.09 tff(30107,plain,
% 50.12/33.09 (~v216(constB3, 2)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30106, 15433, 30103])).
% 50.12/33.09 tff(30108,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB3, 2) | v254(constB3) | (~v215(constB3)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB3, 2) | v254(constB3) | (~v215(constB3)))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30109,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB3, 2) | v254(constB3) | (~v215(constB3)))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30110,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB3, 2) | v254(constB3) | (~v215(constB3))),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30109, 30108])).
% 50.12/33.09 tff(30111,plain,
% 50.12/33.09 (v254(constB3) | (~v215(constB3))),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30110, 15447, 30107])).
% 50.12/33.09 tff(30112,plain,
% 50.12/33.09 (~v215(constB3)),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30111, 30083])).
% 50.12/33.09 tff(30113,plain,
% 50.12/33.09 ($false),
% 50.12/33.09 inference(unit_resolution,[status(thm)],[30112, 29926])).
% 50.12/33.09 tff(30114,plain,(~(constB3 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.09 tff(30115,assumption,(constB43 = sK_VarCurr), introduced(assumption)).
% 50.12/33.09 tff(30116,plain,
% 50.12/33.09 (v215(constB43) <=> v215(sK_VarCurr)),
% 50.12/33.09 inference(monotonicity,[status(thm)],[30115])).
% 50.12/33.09 tff(30117,plain,
% 50.12/33.09 (v215(sK_VarCurr) <=> v215(constB43)),
% 50.12/33.09 inference(symmetry,[status(thm)],[30116])).
% 50.12/33.09 tff(30118,plain,
% 50.12/33.09 (v215(constB43)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[34, 30117])).
% 50.12/33.09 tff(30119,plain,
% 50.12/33.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB43, 2)) | v90(constB43, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB43, 2)) | v90(constB43, 2))),
% 50.12/33.09 inference(rewrite,[status(thm)],[])).
% 50.12/33.09 tff(30120,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB43, 2)) | v90(constB43, 2))),
% 50.12/33.09 inference(quant_inst,[status(thm)],[])).
% 50.12/33.09 tff(30121,plain,
% 50.12/33.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB43, 2)) | v90(constB43, 2)),
% 50.12/33.09 inference(modus_ponens,[status(thm)],[30120, 30119])).
% 50.12/33.09 tff(30122,plain,
% 50.12/33.10 (~v88(constB43, 2)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30121, 26020, 5616])).
% 50.12/33.10 tff(30123,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB43, 1)) | v88(constB43, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB43, 1)) | v88(constB43, 1))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30124,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB43, 1)) | v88(constB43, 1))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30125,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB43, 1)) | v88(constB43, 1)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30124, 30123])).
% 50.12/33.10 tff(30126,plain,
% 50.12/33.10 (v88(constB43, 1)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30125, 15014, 5647])).
% 50.12/33.10 tff(30127,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB43, 0)) | v88(constB43, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB43, 0)) | v88(constB43, 0))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30128,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB43, 0)) | v88(constB43, 0))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30129,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB43, 0)) | v88(constB43, 0)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30128, 30127])).
% 50.12/33.10 tff(30130,plain,
% 50.12/33.10 (v88(constB43, 0)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30129, 26254, 5678])).
% 50.12/33.10 tff(30131,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB43, 0)) | v88(constB43, 2) | (~v88(constB43, 1)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB43, 0)) | v88(constB43, 2) | (~v88(constB43, 1)) | v141(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30132,plain,
% 50.12/33.10 ((v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43)) <=> ((~v88(constB43, 0)) | v88(constB43, 2) | (~v88(constB43, 1)) | v141(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30133,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB43, 0)) | v88(constB43, 2) | (~v88(constB43, 1)) | v141(constB43)))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30132])).
% 50.12/33.10 tff(30134,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB43, 0)) | v88(constB43, 2) | (~v88(constB43, 1)) | v141(constB43))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30133, 30131])).
% 50.12/33.10 tff(30135,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30136,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB43, 0)) | v88(constB43, 2) | (~v88(constB43, 1)) | v141(constB43)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 50.12/33.10 tff(30137,plain,
% 50.12/33.10 (v141(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30136, 26268, 30130, 30126, 30122])).
% 50.12/33.10 tff(30138,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB43)) | v199(constB43))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB43)) | v199(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30139,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB43)) | v199(constB43))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30140,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB43)) | v199(constB43)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30139, 30138])).
% 50.12/33.10 tff(30141,plain,
% 50.12/33.10 (v199(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30140, 26282, 30137])).
% 50.12/33.10 tff(30142,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB43)) | v198(constB43))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB43)) | v198(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30143,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB43)) | v198(constB43))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30144,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB43)) | v198(constB43)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30143, 30142])).
% 50.12/33.10 tff(30145,plain,
% 50.12/33.10 (v198(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30144, 26293, 30141])).
% 50.12/33.10 tff(30146,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB43)) | (~v201(constB43)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB43)) | (~v201(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30147,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB43)) | (~v201(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30148,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB43)) | (~v201(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30147, 30146])).
% 50.12/33.10 tff(30149,plain,
% 50.12/33.10 (~v201(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30148, 15064, 30145])).
% 50.12/33.10 tff(30150,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB43) | (~v198(constB43)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB43) | (~v198(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30151,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB43) | (~v198(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30152,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB43) | (~v198(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30151, 30150])).
% 50.12/33.10 tff(30153,plain,
% 50.12/33.10 (v197(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30152, 15078, 30145])).
% 50.12/33.10 tff(30154,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB43) | (~v197(constB43)) | v201(constB43))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB43) | (~v197(constB43)) | v201(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30155,plain,
% 50.12/33.10 (((~v197(constB43)) | v201(constB43) | v227(constB43)) <=> (v227(constB43) | (~v197(constB43)) | v201(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30156,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB43)) | v201(constB43) | v227(constB43))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB43) | (~v197(constB43)) | v201(constB43)))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30155])).
% 50.12/33.10 tff(30157,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB43)) | v201(constB43) | v227(constB43))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB43) | (~v197(constB43)) | v201(constB43))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30156, 30154])).
% 50.12/33.10 tff(30158,plain,
% 50.12/33.10 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB43)) | v201(constB43) | v227(constB43))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30159,plain,
% 50.12/33.10 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB43) | (~v197(constB43)) | v201(constB43)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30158, 30157])).
% 50.12/33.10 tff(30160,plain,
% 50.12/33.10 (v227(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30159, 15092, 30153, 30149])).
% 50.12/33.10 tff(30161,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB43)) | (~v223(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB43)) | (~v223(constB43, 0)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30162,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB43)) | (~v223(constB43, 0)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30163,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB43)) | (~v223(constB43, 0))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30162, 30161])).
% 50.12/33.10 tff(30164,plain,
% 50.12/33.10 (~v223(constB43, 0)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30163, 15109, 30160])).
% 50.12/33.10 tff(30165,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB43)) | (~v199(constB43)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB43)) | (~v199(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30166,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB43)) | (~v199(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30167,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB43)) | (~v199(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30166, 30165])).
% 50.12/33.10 tff(30168,plain,
% 50.12/33.10 (~v183(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30167, 26326, 30141])).
% 50.12/33.10 tff(30169,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB43) | (~v197(constB43)) | v183(constB43))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB43) | (~v197(constB43)) | v183(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30170,plain,
% 50.12/33.10 (((~v197(constB43)) | v183(constB43) | v228(constB43)) <=> (v228(constB43) | (~v197(constB43)) | v183(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30171,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB43)) | v183(constB43) | v228(constB43))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB43) | (~v197(constB43)) | v183(constB43)))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30170])).
% 50.12/33.10 tff(30172,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB43)) | v183(constB43) | v228(constB43))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB43) | (~v197(constB43)) | v183(constB43))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30171, 30169])).
% 50.12/33.10 tff(30173,plain,
% 50.12/33.10 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB43)) | v183(constB43) | v228(constB43))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30174,plain,
% 50.12/33.10 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB43) | (~v197(constB43)) | v183(constB43)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 50.12/33.10 tff(30175,plain,
% 50.12/33.10 (v228(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30174, 26340, 30153, 30168])).
% 50.12/33.10 tff(30176,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB43)) | (~v223(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB43)) | (~v223(constB43, 1)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30177,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB43)) | (~v223(constB43, 1)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30178,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB43)) | (~v223(constB43, 1))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 50.12/33.10 tff(30179,plain,
% 50.12/33.10 (~v223(constB43, 1)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30178, 26357, 30175])).
% 50.12/33.10 tff(30180,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB43, 1) | v223(constB43, 0) | (~v229(constB43)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB43, 1) | v223(constB43, 0) | (~v229(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30181,plain,
% 50.12/33.10 ((v223(constB43, 0) | v223(constB43, 1) | (~v229(constB43))) <=> (v223(constB43, 1) | v223(constB43, 0) | (~v229(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30182,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB43, 0) | v223(constB43, 1) | (~v229(constB43)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB43, 1) | v223(constB43, 0) | (~v229(constB43))))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30181])).
% 50.12/33.10 tff(30183,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB43, 0) | v223(constB43, 1) | (~v229(constB43)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB43, 1) | v223(constB43, 0) | (~v229(constB43)))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30182, 30180])).
% 50.12/33.10 tff(30184,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB43, 0) | v223(constB43, 1) | (~v229(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30185,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB43, 1) | v223(constB43, 0) | (~v229(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30184, 30183])).
% 50.12/33.10 tff(30186,plain,
% 50.12/33.10 (~v229(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30185, 26371, 30179, 30164])).
% 50.12/33.10 tff(30187,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB43) | (~v225(constB43)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB43) | (~v225(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30188,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB43) | (~v225(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30189,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB43) | (~v225(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30188, 30187])).
% 50.12/33.10 tff(30190,plain,
% 50.12/33.10 (~v225(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30189, 26388, 30186])).
% 50.12/33.10 tff(30191,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB43) | (~v224(constB43)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB43) | (~v224(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30192,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB43) | (~v224(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30193,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB43) | (~v224(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30192, 30191])).
% 50.12/33.10 tff(30194,plain,
% 50.12/33.10 (~v224(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30193, 26402, 30190])).
% 50.12/33.10 tff(30195,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB43)) | v223(constB43, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB43)) | v223(constB43, 1))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30196,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB43)) | v223(constB43, 1))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30197,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB43)) | v223(constB43, 1)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30196, 30195])).
% 50.12/33.10 tff(30198,plain,
% 50.12/33.10 (~v222(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30197, 26413, 30179])).
% 50.12/33.10 tff(30199,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB43) | v224(constB43) | (~v236(constB43)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB43) | v224(constB43) | (~v236(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30200,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB43) | v224(constB43) | (~v236(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30201,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB43) | v224(constB43) | (~v236(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30200, 30199])).
% 50.12/33.10 tff(30202,plain,
% 50.12/33.10 (v224(constB43) | (~v236(constB43))),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30201, 15241, 30198])).
% 50.12/33.10 tff(30203,plain,
% 50.12/33.10 (~v236(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30202, 30194])).
% 50.12/33.10 tff(30204,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB43) | (~v232(constB43)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB43) | (~v232(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30205,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB43) | (~v232(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30206,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB43) | (~v232(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 50.12/33.10 tff(30207,plain,
% 50.12/33.10 (~v232(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30206, 15255, 30203])).
% 50.12/33.10 tff(30208,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB43)) | (~v88(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB43)) | (~v88(constB43, 1)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30209,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB43)) | (~v88(constB43, 1)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30210,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB43)) | (~v88(constB43, 1))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30209, 30208])).
% 50.12/33.10 tff(30211,plain,
% 50.12/33.10 (~v140(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30210, 15142, 30126])).
% 50.12/33.10 tff(30212,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB43)) | (~v88(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB43)) | (~v88(constB43, 0)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30213,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB43)) | (~v88(constB43, 0)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30214,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB43)) | (~v88(constB43, 0))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30213, 30212])).
% 50.12/33.10 tff(30215,plain,
% 50.12/33.10 (~v139(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30214, 26437, 30130])).
% 50.12/33.10 tff(30216,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB43) | v140(constB43) | (~v148(constB43)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB43) | v140(constB43) | (~v148(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30217,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB43) | v140(constB43) | (~v148(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30218,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB43) | v140(constB43) | (~v148(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30217, 30216])).
% 50.12/33.10 tff(30219,plain,
% 50.12/33.10 (~v148(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30218, 15269, 30215, 30211])).
% 50.12/33.10 tff(30220,plain,
% 50.12/33.10 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB43) | v252(constB43) | (~v197(constB43)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB43) | v252(constB43) | (~v197(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30221,plain,
% 50.12/33.10 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB43) | v252(constB43) | (~v197(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30222,plain,
% 50.12/33.10 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB43) | v252(constB43) | (~v197(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30221, 30220])).
% 50.12/33.10 tff(30223,plain,
% 50.12/33.10 (v252(constB43) | (~v197(constB43))),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30222, 15283, 30219])).
% 50.12/33.10 tff(30224,plain,
% 50.12/33.10 (v252(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30223, 30153])).
% 50.12/33.10 tff(30225,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB43)) | (~v223(constB43, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB43)) | (~v223(constB43, 3)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30226,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB43)) | (~v223(constB43, 3)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30227,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB43)) | (~v223(constB43, 3))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 50.12/33.10 tff(30228,plain,
% 50.12/33.10 (~v223(constB43, 3)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30227, 15298, 30224])).
% 50.12/33.10 tff(30229,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB43)) | v223(constB43, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB43)) | v223(constB43, 3))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30230,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB43)) | v223(constB43, 3))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30231,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB43)) | v223(constB43, 3)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 50.12/33.10 tff(30232,plain,
% 50.12/33.10 (~v237(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30231, 15309, 30228])).
% 50.12/33.10 tff(30233,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB43) | v237(constB43) | (~v248(constB43)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB43) | v237(constB43) | (~v248(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30234,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB43) | v237(constB43) | (~v248(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30235,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB43) | v237(constB43) | (~v248(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 50.12/33.10 tff(30236,plain,
% 50.12/33.10 (v232(constB43) | (~v248(constB43))),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30235, 15323, 30232])).
% 50.12/33.10 tff(30237,plain,
% 50.12/33.10 (~v248(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30236, 30207])).
% 50.12/33.10 tff(30238,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB43) | (~v244(constB43)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB43) | (~v244(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30239,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB43) | (~v244(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30240,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB43) | (~v244(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 50.12/33.10 tff(30241,plain,
% 50.12/33.10 (~v244(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30240, 15338, 30237])).
% 50.12/33.10 tff(30242,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB43) | (~v216(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB43) | (~v216(constB43, 1)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30243,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB43) | (~v216(constB43, 1)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30244,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB43) | (~v216(constB43, 1))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30243, 30242])).
% 50.12/33.10 tff(30245,plain,
% 50.12/33.10 (~v216(constB43, 1)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30244, 15352, 30241])).
% 50.12/33.10 tff(30246,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB43)) | v216(constB43, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB43)) | v216(constB43, 1))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30247,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB43)) | v216(constB43, 1))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30248,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB43)) | v216(constB43, 1)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30247, 30246])).
% 50.12/33.10 tff(30249,plain,
% 50.12/33.10 (~v254(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30248, 15363, 30245])).
% 50.12/33.10 tff(30250,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB43) | (~v231(constB43)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB43) | (~v231(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30251,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB43) | (~v231(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30252,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB43) | (~v231(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30251, 30250])).
% 50.12/33.10 tff(30253,plain,
% 50.12/33.10 (~v231(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30252, 15391, 30232])).
% 50.12/33.10 tff(30254,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB43) | (~v221(constB43)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB43) | (~v221(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30255,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB43) | (~v221(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30256,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB43) | (~v221(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30255, 30254])).
% 50.12/33.10 tff(30257,plain,
% 50.12/33.10 (~v221(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30256, 26489, 30198])).
% 50.12/33.10 tff(30258,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB43) | v231(constB43) | (~v243(constB43)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB43) | v231(constB43) | (~v243(constB43)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30259,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB43) | v231(constB43) | (~v243(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30260,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB43) | v231(constB43) | (~v243(constB43))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30259, 30258])).
% 50.12/33.10 tff(30261,plain,
% 50.12/33.10 (~v243(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30260, 15405, 30257, 30253])).
% 50.12/33.10 tff(30262,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB43) | v255(constB43))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB43) | v255(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30263,plain,
% 50.12/33.10 ((v255(constB43) | v243(constB43)) <=> (v243(constB43) | v255(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30264,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB43) | v243(constB43))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB43) | v255(constB43)))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30263])).
% 50.12/33.10 tff(30265,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB43) | v243(constB43))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB43) | v255(constB43))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30264, 30262])).
% 50.12/33.10 tff(30266,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB43) | v243(constB43))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30267,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB43) | v255(constB43)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 50.12/33.10 tff(30268,plain,
% 50.12/33.10 (v255(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30267, 15416, 30261])).
% 50.12/33.10 tff(30269,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB43)) | (~v216(constB43, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB43)) | (~v216(constB43, 2)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30270,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB43)) | (~v216(constB43, 2)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30271,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB43)) | (~v216(constB43, 2))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30270, 30269])).
% 50.12/33.10 tff(30272,plain,
% 50.12/33.10 (~v216(constB43, 2)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30271, 15433, 30268])).
% 50.12/33.10 tff(30273,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB43, 2) | (~v215(constB43)) | v254(constB43))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB43, 2) | (~v215(constB43)) | v254(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30274,plain,
% 50.12/33.10 ((v216(constB43, 2) | v254(constB43) | (~v215(constB43))) <=> (v216(constB43, 2) | (~v215(constB43)) | v254(constB43))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30275,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB43, 2) | v254(constB43) | (~v215(constB43)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB43, 2) | (~v215(constB43)) | v254(constB43)))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30274])).
% 50.12/33.10 tff(30276,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB43, 2) | v254(constB43) | (~v215(constB43)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB43, 2) | (~v215(constB43)) | v254(constB43))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30275, 30273])).
% 50.12/33.10 tff(30277,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB43, 2) | v254(constB43) | (~v215(constB43)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30278,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB43, 2) | (~v215(constB43)) | v254(constB43)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30277, 30276])).
% 50.12/33.10 tff(30279,plain,
% 50.12/33.10 ((~v215(constB43)) | v254(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30278, 15447, 30272])).
% 50.12/33.10 tff(30280,plain,
% 50.12/33.10 (~v215(constB43)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30279, 30249])).
% 50.12/33.10 tff(30281,plain,
% 50.12/33.10 ($false),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30280, 30118])).
% 50.12/33.10 tff(30282,plain,(~(constB43 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.10 tff(30283,assumption,(constB137 = sK_VarCurr), introduced(assumption)).
% 50.12/33.10 tff(30284,plain,
% 50.12/33.10 (v215(constB137) <=> v215(sK_VarCurr)),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30283])).
% 50.12/33.10 tff(30285,plain,
% 50.12/33.10 (v215(sK_VarCurr) <=> v215(constB137)),
% 50.12/33.10 inference(symmetry,[status(thm)],[30284])).
% 50.12/33.10 tff(30286,plain,
% 50.12/33.10 (v215(constB137)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[34, 30285])).
% 50.12/33.10 tff(30287,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB137, 2)) | v90(constB137, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB137, 2)) | v90(constB137, 2))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30288,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB137, 2)) | v90(constB137, 2))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30289,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB137, 2)) | v90(constB137, 2)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30288, 30287])).
% 50.12/33.10 tff(30290,plain,
% 50.12/33.10 (~v88(constB137, 2)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30289, 26020, 17744])).
% 50.12/33.10 tff(30291,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB137, 0)) | v90(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB137, 0)) | v90(constB137, 0))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30292,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB137, 0)) | v90(constB137, 0))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30293,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB137, 0)) | v90(constB137, 0)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30292, 30291])).
% 50.12/33.10 tff(30294,plain,
% 50.12/33.10 (~v88(constB137, 0)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30293, 14930, 17809])).
% 50.12/33.10 tff(30295,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB137, 1)) | v88(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB137, 1)) | v88(constB137, 1))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30296,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB137, 1)) | v88(constB137, 1))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30297,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB137, 1)) | v88(constB137, 1)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 50.12/33.10 tff(30298,plain,
% 50.12/33.10 (v88(constB137, 1)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30297, 15014, 17775])).
% 50.12/33.10 tff(30299,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30300,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30301,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30300, 30299])).
% 50.12/33.10 tff(30302,plain,
% 50.12/33.10 (v143(constB137)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30301, 26042, 30298, 30294, 30290])).
% 50.12/33.10 tff(30303,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB137) | (~v143(constB137)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30304,plain,
% 50.12/33.10 (((~v143(constB137)) | v142(constB137)) <=> (v142(constB137) | (~v143(constB137)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30305,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB137) | (~v143(constB137))))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30304])).
% 50.12/33.10 tff(30306,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137)))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30305, 30303])).
% 50.12/33.10 tff(30307,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30308,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30307, 30306])).
% 50.12/33.10 tff(30309,plain,
% 50.12/33.10 (v142(constB137)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30308, 26056, 30302])).
% 50.12/33.10 tff(30310,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB137)) | v198(constB137))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB137)) | v198(constB137))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30311,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB137)) | v198(constB137))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30312,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB137)) | v198(constB137)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30311, 30310])).
% 50.12/33.10 tff(30313,plain,
% 50.12/33.10 (v198(constB137)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30312, 15053, 30309])).
% 50.12/33.10 tff(30314,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB137)) | (~v201(constB137)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB137)) | (~v201(constB137)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30315,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB137)) | (~v201(constB137)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30316,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB137)) | (~v201(constB137))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 50.12/33.10 tff(30317,plain,
% 50.12/33.10 (~v201(constB137)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30316, 15064, 30313])).
% 50.12/33.10 tff(30318,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB137) | (~v198(constB137)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB137) | (~v198(constB137)))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30319,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB137) | (~v198(constB137)))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30320,plain,
% 50.12/33.10 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB137) | (~v198(constB137))),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30319, 30318])).
% 50.12/33.10 tff(30321,plain,
% 50.12/33.10 (v197(constB137)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30320, 15078, 30313])).
% 50.12/33.10 tff(30322,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB137) | (~v197(constB137)) | v201(constB137))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB137) | (~v197(constB137)) | v201(constB137))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30323,plain,
% 50.12/33.10 (((~v197(constB137)) | v201(constB137) | v227(constB137)) <=> (v227(constB137) | (~v197(constB137)) | v201(constB137))),
% 50.12/33.10 inference(rewrite,[status(thm)],[])).
% 50.12/33.10 tff(30324,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB137)) | v201(constB137) | v227(constB137))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB137) | (~v197(constB137)) | v201(constB137)))),
% 50.12/33.10 inference(monotonicity,[status(thm)],[30323])).
% 50.12/33.10 tff(30325,plain,
% 50.12/33.10 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB137)) | v201(constB137) | v227(constB137))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB137) | (~v197(constB137)) | v201(constB137))),
% 50.12/33.10 inference(transitivity,[status(thm)],[30324, 30322])).
% 50.12/33.10 tff(30326,plain,
% 50.12/33.10 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB137)) | v201(constB137) | v227(constB137))),
% 50.12/33.10 inference(quant_inst,[status(thm)],[])).
% 50.12/33.10 tff(30327,plain,
% 50.12/33.10 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB137) | (~v197(constB137)) | v201(constB137)),
% 50.12/33.10 inference(modus_ponens,[status(thm)],[30326, 30325])).
% 50.12/33.10 tff(30328,plain,
% 50.12/33.10 (v227(constB137)),
% 50.12/33.10 inference(unit_resolution,[status(thm)],[30327, 15092, 30321, 30317])).
% 50.12/33.10 tff(30329,plain,
% 50.12/33.10 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB137)) | (~v223(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB137)) | (~v223(constB137, 0)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30330,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB137)) | (~v223(constB137, 0)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30331,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB137)) | (~v223(constB137, 0))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30330, 30329])).
% 50.12/33.11 tff(30332,plain,
% 50.12/33.11 (~v223(constB137, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30331, 15109, 30328])).
% 50.12/33.11 tff(30333,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB137)) | v223(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB137)) | v223(constB137, 0))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30334,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB137)) | v223(constB137, 0))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30335,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB137)) | v223(constB137, 0)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30334, 30333])).
% 50.12/33.11 tff(30336,plain,
% 50.12/33.11 (~v222(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30335, 15120, 30332])).
% 50.12/33.11 tff(30337,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB137)) | (~v88(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB137)) | (~v88(constB137, 1)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30338,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB137)) | (~v88(constB137, 1)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30339,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB137)) | (~v88(constB137, 1))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30338, 30337])).
% 50.12/33.11 tff(30340,plain,
% 50.12/33.11 (~v139(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30339, 15131, 30298])).
% 50.12/33.11 tff(30341,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB137)) | (~v88(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB137)) | (~v88(constB137, 1)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30342,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB137)) | (~v88(constB137, 1)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30343,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB137)) | (~v88(constB137, 1))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30342, 30341])).
% 50.12/33.11 tff(30344,plain,
% 50.12/33.11 (~v140(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30343, 15142, 30298])).
% 50.12/33.11 tff(30345,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v200(constB137)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB137) | v140(constB137) | (~v200(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30346,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v200(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30347,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB137) | v140(constB137) | (~v200(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30346, 30345])).
% 50.12/33.11 tff(30348,plain,
% 50.12/33.11 (~v200(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30347, 15156, 30344, 30340])).
% 50.12/33.11 tff(30349,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB137)) | v88(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB137)) | v88(constB137, 0))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30350,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB137)) | v88(constB137, 0))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30351,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB137)) | v88(constB137, 0)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30350, 30349])).
% 50.12/33.11 tff(30352,plain,
% 50.12/33.11 (~v141(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30351, 26106, 30294])).
% 50.12/33.11 tff(30353,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB137) | v200(constB137) | (~v166(constB137)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB137) | v200(constB137) | (~v166(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30354,plain,
% 50.12/33.11 ((v141(constB137) | (~v166(constB137)) | v200(constB137)) <=> (v141(constB137) | v200(constB137) | (~v166(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30355,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB137) | (~v166(constB137)) | v200(constB137))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB137) | v200(constB137) | (~v166(constB137))))),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30354])).
% 50.12/33.11 tff(30356,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB137) | (~v166(constB137)) | v200(constB137))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB137) | v200(constB137) | (~v166(constB137)))),
% 50.12/33.11 inference(transitivity,[status(thm)],[30355, 30353])).
% 50.12/33.11 tff(30357,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB137) | (~v166(constB137)) | v200(constB137))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30358,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB137) | v200(constB137) | (~v166(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30357, 30356])).
% 50.12/33.11 tff(30359,plain,
% 50.12/33.11 (~v166(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30358, 15181, 30352, 30348])).
% 50.12/33.11 tff(30360,plain,
% 50.12/33.11 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB137) | (~v197(constB137)) | v166(constB137))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB137) | (~v197(constB137)) | v166(constB137))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30361,plain,
% 50.12/33.11 (((~v197(constB137)) | v166(constB137) | v241(constB137)) <=> (v241(constB137) | (~v197(constB137)) | v166(constB137))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30362,plain,
% 50.12/33.11 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB137)) | v166(constB137) | v241(constB137))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB137) | (~v197(constB137)) | v166(constB137)))),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30361])).
% 50.12/33.11 tff(30363,plain,
% 50.12/33.11 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB137)) | v166(constB137) | v241(constB137))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB137) | (~v197(constB137)) | v166(constB137))),
% 50.12/33.11 inference(transitivity,[status(thm)],[30362, 30360])).
% 50.12/33.11 tff(30364,plain,
% 50.12/33.11 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB137)) | v166(constB137) | v241(constB137))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30365,plain,
% 50.12/33.11 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB137) | (~v197(constB137)) | v166(constB137)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30364, 30363])).
% 50.12/33.11 tff(30366,plain,
% 50.12/33.11 (v241(constB137) | (~v197(constB137))),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30365, 15198, 30359])).
% 50.12/33.11 tff(30367,plain,
% 50.12/33.11 (v241(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30366, 30321])).
% 50.12/33.11 tff(30368,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB137)) | (~v223(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB137)) | (~v223(constB137, 2)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30369,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB137)) | (~v223(constB137, 2)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30370,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB137)) | (~v223(constB137, 2))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30369, 30368])).
% 50.12/33.11 tff(30371,plain,
% 50.12/33.11 (~v223(constB137, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30370, 15216, 30367])).
% 50.12/33.11 tff(30372,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB137)) | v223(constB137, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB137)) | v223(constB137, 2))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30373,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB137)) | v223(constB137, 2))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30374,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB137)) | v223(constB137, 2)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 50.12/33.11 tff(30375,plain,
% 50.12/33.11 (~v224(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30374, 15227, 30371])).
% 50.12/33.11 tff(30376,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB137) | v224(constB137) | (~v236(constB137)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB137) | v224(constB137) | (~v236(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30377,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB137) | v224(constB137) | (~v236(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30378,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB137) | v224(constB137) | (~v236(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 50.12/33.11 tff(30379,plain,
% 50.12/33.11 (~v236(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30378, 15241, 30375, 30336])).
% 50.12/33.11 tff(30380,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB137) | (~v232(constB137)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB137) | (~v232(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30381,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB137) | (~v232(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30382,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB137) | (~v232(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30381, 30380])).
% 50.12/33.11 tff(30383,plain,
% 50.12/33.11 (~v232(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30382, 15255, 30379])).
% 50.12/33.11 tff(30384,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v148(constB137)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB137) | v140(constB137) | (~v148(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30385,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v148(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30386,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB137) | v140(constB137) | (~v148(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30385, 30384])).
% 50.12/33.11 tff(30387,plain,
% 50.12/33.11 (~v148(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30386, 15269, 30344, 30340])).
% 50.12/33.11 tff(30388,plain,
% 50.12/33.11 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB137) | v252(constB137) | (~v197(constB137)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB137) | v252(constB137) | (~v197(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30389,plain,
% 50.12/33.11 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB137) | v252(constB137) | (~v197(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30390,plain,
% 50.12/33.11 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB137) | v252(constB137) | (~v197(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30389, 30388])).
% 50.12/33.11 tff(30391,plain,
% 50.12/33.11 (v252(constB137) | (~v197(constB137))),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30390, 15283, 30387])).
% 50.12/33.11 tff(30392,plain,
% 50.12/33.11 (v252(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30391, 30321])).
% 50.12/33.11 tff(30393,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB137)) | (~v223(constB137, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB137)) | (~v223(constB137, 3)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30394,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB137)) | (~v223(constB137, 3)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30395,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB137)) | (~v223(constB137, 3))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30394, 30393])).
% 50.12/33.11 tff(30396,plain,
% 50.12/33.11 (~v223(constB137, 3)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30395, 15298, 30392])).
% 50.12/33.11 tff(30397,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB137)) | v223(constB137, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB137)) | v223(constB137, 3))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30398,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB137)) | v223(constB137, 3))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30399,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB137)) | v223(constB137, 3)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30398, 30397])).
% 50.12/33.11 tff(30400,plain,
% 50.12/33.11 (~v237(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30399, 15309, 30396])).
% 50.12/33.11 tff(30401,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB137) | v237(constB137) | (~v248(constB137)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB137) | v237(constB137) | (~v248(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30402,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB137) | v237(constB137) | (~v248(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30403,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB137) | v237(constB137) | (~v248(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30402, 30401])).
% 50.12/33.11 tff(30404,plain,
% 50.12/33.11 (v232(constB137) | (~v248(constB137))),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30403, 15323, 30400])).
% 50.12/33.11 tff(30405,plain,
% 50.12/33.11 (~v248(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30404, 30383])).
% 50.12/33.11 tff(30406,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB137) | (~v244(constB137)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB137) | (~v244(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30407,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB137) | (~v244(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30408,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB137) | (~v244(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30407, 30406])).
% 50.12/33.11 tff(30409,plain,
% 50.12/33.11 (~v244(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30408, 15338, 30405])).
% 50.12/33.11 tff(30410,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB137) | (~v216(constB137, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB137) | (~v216(constB137, 1)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30411,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB137) | (~v216(constB137, 1)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30412,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB137) | (~v216(constB137, 1))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30411, 30410])).
% 50.12/33.11 tff(30413,plain,
% 50.12/33.11 (~v216(constB137, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30412, 15352, 30409])).
% 50.12/33.11 tff(30414,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB137)) | v216(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB137)) | v216(constB137, 1))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30415,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB137)) | v216(constB137, 1))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30416,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB137)) | v216(constB137, 1)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30415, 30414])).
% 50.12/33.11 tff(30417,plain,
% 50.12/33.11 (~v254(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30416, 15363, 30413])).
% 50.12/33.11 tff(30418,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB137) | (~v221(constB137)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB137) | (~v221(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30419,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB137) | (~v221(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30420,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB137) | (~v221(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30419, 30418])).
% 50.12/33.11 tff(30421,plain,
% 50.12/33.11 (~v221(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30420, 15377, 30375])).
% 50.12/33.11 tff(30422,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB137) | (~v231(constB137)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB137) | (~v231(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30423,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB137) | (~v231(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30424,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB137) | (~v231(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30423, 30422])).
% 50.12/33.11 tff(30425,plain,
% 50.12/33.11 (~v231(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30424, 15391, 30400])).
% 50.12/33.11 tff(30426,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB137) | v231(constB137) | (~v243(constB137)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB137) | v231(constB137) | (~v243(constB137)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30427,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB137) | v231(constB137) | (~v243(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30428,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB137) | v231(constB137) | (~v243(constB137))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30427, 30426])).
% 50.12/33.11 tff(30429,plain,
% 50.12/33.11 (~v243(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30428, 15405, 30425, 30421])).
% 50.12/33.11 tff(30430,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB137) | v255(constB137))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB137) | v255(constB137))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30431,plain,
% 50.12/33.11 ((v255(constB137) | v243(constB137)) <=> (v243(constB137) | v255(constB137))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30432,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB137) | v243(constB137))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB137) | v255(constB137)))),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30431])).
% 50.12/33.11 tff(30433,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB137) | v243(constB137))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB137) | v255(constB137))),
% 50.12/33.11 inference(transitivity,[status(thm)],[30432, 30430])).
% 50.12/33.11 tff(30434,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB137) | v243(constB137))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30435,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB137) | v255(constB137)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30434, 30433])).
% 50.12/33.11 tff(30436,plain,
% 50.12/33.11 (v255(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30435, 15416, 30429])).
% 50.12/33.11 tff(30437,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB137)) | (~v216(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB137)) | (~v216(constB137, 2)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30438,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB137)) | (~v216(constB137, 2)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30439,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB137)) | (~v216(constB137, 2))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30438, 30437])).
% 50.12/33.11 tff(30440,plain,
% 50.12/33.11 (~v216(constB137, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30439, 15433, 30436])).
% 50.12/33.11 tff(30441,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB137, 2) | (~v215(constB137)) | v254(constB137))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB137, 2) | (~v215(constB137)) | v254(constB137))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30442,plain,
% 50.12/33.11 ((v216(constB137, 2) | v254(constB137) | (~v215(constB137))) <=> (v216(constB137, 2) | (~v215(constB137)) | v254(constB137))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30443,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB137, 2) | v254(constB137) | (~v215(constB137)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB137, 2) | (~v215(constB137)) | v254(constB137)))),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30442])).
% 50.12/33.11 tff(30444,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB137, 2) | v254(constB137) | (~v215(constB137)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB137, 2) | (~v215(constB137)) | v254(constB137))),
% 50.12/33.11 inference(transitivity,[status(thm)],[30443, 30441])).
% 50.12/33.11 tff(30445,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB137, 2) | v254(constB137) | (~v215(constB137)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30446,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB137, 2) | (~v215(constB137)) | v254(constB137)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30445, 30444])).
% 50.12/33.11 tff(30447,plain,
% 50.12/33.11 ((~v215(constB137)) | v254(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30446, 15447, 30440])).
% 50.12/33.11 tff(30448,plain,
% 50.12/33.11 (~v215(constB137)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30447, 30417])).
% 50.12/33.11 tff(30449,plain,
% 50.12/33.11 ($false),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30448, 30286])).
% 50.12/33.11 tff(30450,plain,(~(constB137 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.11 tff(30451,assumption,(constB161 = sK_VarCurr), introduced(assumption)).
% 50.12/33.11 tff(30452,plain,
% 50.12/33.11 (v215(constB161) <=> v215(sK_VarCurr)),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30451])).
% 50.12/33.11 tff(30453,plain,
% 50.12/33.11 (v215(sK_VarCurr) <=> v215(constB161)),
% 50.12/33.11 inference(symmetry,[status(thm)],[30452])).
% 50.12/33.11 tff(30454,plain,
% 50.12/33.11 (v215(constB161)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[34, 30453])).
% 50.12/33.11 tff(30455,plain,
% 50.12/33.11 (v125(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19861, 1953, 25547, 19776, 25557])).
% 50.12/33.11 tff(30456,plain,
% 50.12/33.11 (v113(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19868, 1964, 30455])).
% 50.12/33.11 tff(30457,plain,
% 50.12/33.11 (v112(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19880, 30456])).
% 50.12/33.11 tff(30458,plain,
% 50.12/33.11 (v108(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19887, 292, 30457])).
% 50.12/33.11 tff(30459,plain,
% 50.12/33.11 (v110(constB158)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19898, 30458])).
% 50.12/33.11 tff(30460,plain,
% 50.12/33.11 (v100(constB158)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19924, 30459])).
% 50.12/33.11 tff(30461,plain,
% 50.12/33.11 (~v119(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19928, 2050, 19776])).
% 50.12/33.11 tff(30462,plain,
% 50.12/33.11 (~v123(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19932, 2072, 19776])).
% 50.12/33.11 tff(30463,plain,
% 50.12/33.11 (~v122(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19936, 2039, 25557])).
% 50.12/33.11 tff(30464,plain,
% 50.12/33.11 (~v121(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19940, 2028, 25557])).
% 50.12/33.11 tff(30465,plain,
% 50.12/33.11 (~v120(constB157)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19944, 2061, 19776])).
% 50.12/33.11 tff(30466,plain,
% 50.12/33.11 (~v130(constB157, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19949, 2097, 30465, 30464, 30463, 30462, 19780, 30461])).
% 50.12/33.11 tff(30467,plain,
% 50.12/33.11 (~v127(constB157, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19958, 30466])).
% 50.12/33.11 tff(30468,plain,
% 50.12/33.11 (~v129(constB158, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19963, 30467])).
% 50.12/33.11 tff(30469,plain,
% 50.12/33.11 ((~v90(constB158, 2)) | (~v100(constB158))),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19967, 626, 30468])).
% 50.12/33.11 tff(30470,plain,
% 50.12/33.11 (~v90(constB158, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30469, 30460])).
% 50.12/33.11 tff(30471,plain,
% 50.12/33.11 (~v90(constB159, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19995, 30470])).
% 50.12/33.11 tff(30472,plain,
% 50.12/33.11 (~v130(constB157, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[19999, 2156, 30465, 30464, 30463, 30462, 19780, 30461])).
% 50.12/33.11 tff(30473,plain,
% 50.12/33.11 (~v127(constB157, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20016, 30472])).
% 50.12/33.11 tff(30474,plain,
% 50.12/33.11 (~v129(constB158, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20021, 30473])).
% 50.12/33.11 tff(30475,plain,
% 50.12/33.11 ((~v90(constB158, 1)) | (~v100(constB158))),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20028, 453, 30474])).
% 50.12/33.11 tff(30476,plain,
% 50.12/33.11 (~v90(constB158, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30475, 30460])).
% 50.12/33.11 tff(30477,plain,
% 50.12/33.11 (~v90(constB159, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20038, 30476])).
% 50.12/33.11 tff(30478,plain,
% 50.12/33.11 (v130(constB157, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20042, 2200, 30465, 30464, 30463, 30462, 19780, 30461])).
% 50.12/33.11 tff(30479,plain,
% 50.12/33.11 (v127(constB157, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20048, 30478])).
% 50.12/33.11 tff(30480,plain,
% 50.12/33.11 (v129(constB158, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20053, 30479])).
% 50.12/33.11 tff(30481,plain,
% 50.12/33.11 (v90(constB158, 0) | (~v100(constB158))),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20060, 545, 30480])).
% 50.12/33.11 tff(30482,plain,
% 50.12/33.11 (v90(constB158, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30481, 30460])).
% 50.12/33.11 tff(30483,plain,
% 50.12/33.11 (v90(constB159, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20070, 30482])).
% 50.12/33.11 tff(30484,plain,
% 50.12/33.11 (v120(constB159)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20074, 651, 30483, 30477, 30471])).
% 50.12/33.11 tff(30485,plain,
% 50.12/33.11 (~v130(constB159, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20315, 767, 30484])).
% 50.12/33.11 tff(30486,plain,
% 50.12/33.11 (~v127(constB159, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20323, 30485])).
% 50.12/33.11 tff(30487,plain,
% 50.12/33.11 (~v129(constB160, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20328, 30486])).
% 50.12/33.11 tff(30488,plain,
% 50.12/33.11 (~v130(constB159, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20078, 916, 30484])).
% 50.12/33.11 tff(30489,plain,
% 50.12/33.11 (~v127(constB159, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20090, 30488])).
% 50.12/33.11 tff(30490,plain,
% 50.12/33.11 (~v90(constB160, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20246, 30489])).
% 50.12/33.11 tff(30491,plain,
% 50.12/33.11 (v100(constB160)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20295, 30490, 30483])).
% 50.12/33.11 tff(30492,plain,
% 50.12/33.11 (~v90(constB160, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20332, 626, 30491, 30487])).
% 50.12/33.11 tff(30493,plain,
% 50.12/33.11 (~v90(constB161, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20341, 30492])).
% 50.12/33.11 tff(30494,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB161, 2)) | v90(constB161, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB161, 2)) | v90(constB161, 2))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30495,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB161, 2)) | v90(constB161, 2))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30496,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB161, 2)) | v90(constB161, 2)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30495, 30494])).
% 50.12/33.11 tff(30497,plain,
% 50.12/33.11 (~v88(constB161, 2)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30496, 26020, 30493])).
% 50.12/33.11 tff(30498,plain,
% 50.12/33.11 (v130(constB159, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20277, 838, 30484])).
% 50.12/33.11 tff(30499,plain,
% 50.12/33.11 (v127(constB159, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20282, 30498])).
% 50.12/33.11 tff(30500,plain,
% 50.12/33.11 (v129(constB160, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20287, 30499])).
% 50.12/33.11 tff(30501,plain,
% 50.12/33.11 (v90(constB160, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20302, 882, 30491, 30500])).
% 50.12/33.11 tff(30502,plain,
% 50.12/33.11 (v90(constB161, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20311, 30501])).
% 50.12/33.11 tff(30503,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB161, 1)) | v88(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB161, 1)) | v88(constB161, 1))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30504,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB161, 1)) | v88(constB161, 1))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30505,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB161, 1)) | v88(constB161, 1)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30504, 30503])).
% 50.12/33.11 tff(30506,plain,
% 50.12/33.11 (v88(constB161, 1)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30505, 15014, 30502])).
% 50.12/33.11 tff(30507,plain,
% 50.12/33.11 (~v90(constB161, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[20273, 30490])).
% 50.12/33.11 tff(30508,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB161, 0)) | v90(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB161, 0)) | v90(constB161, 0))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30509,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB161, 0)) | v90(constB161, 0))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30510,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB161, 0)) | v90(constB161, 0)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30509, 30508])).
% 50.12/33.11 tff(30511,plain,
% 50.12/33.11 (~v88(constB161, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30510, 14930, 30507])).
% 50.12/33.11 tff(30512,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 0) | v88(constB161, 2) | (~v88(constB161, 1)) | v143(constB161))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB161, 0) | v88(constB161, 2) | (~v88(constB161, 1)) | v143(constB161))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30513,plain,
% 50.12/33.11 ((v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161)) <=> (v88(constB161, 0) | v88(constB161, 2) | (~v88(constB161, 1)) | v143(constB161))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30514,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 0) | v88(constB161, 2) | (~v88(constB161, 1)) | v143(constB161)))),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30513])).
% 50.12/33.11 tff(30515,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB161, 0) | v88(constB161, 2) | (~v88(constB161, 1)) | v143(constB161))),
% 50.12/33.11 inference(transitivity,[status(thm)],[30514, 30512])).
% 50.12/33.11 tff(30516,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30517,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB161, 0) | v88(constB161, 2) | (~v88(constB161, 1)) | v143(constB161)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30516, 30515])).
% 50.12/33.11 tff(30518,plain,
% 50.12/33.11 (v143(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30517, 26042, 30511, 30506, 30497])).
% 50.12/33.11 tff(30519,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB161)) | v142(constB161))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30520,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30521,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB161)) | v142(constB161)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30520, 30519])).
% 50.12/33.11 tff(30522,plain,
% 50.12/33.11 (v142(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30521, 26056, 30518])).
% 50.12/33.11 tff(30523,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB161)) | v198(constB161))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB161)) | v198(constB161))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30524,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB161)) | v198(constB161))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30525,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB161)) | v198(constB161)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30524, 30523])).
% 50.12/33.11 tff(30526,plain,
% 50.12/33.11 (v198(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30525, 15053, 30522])).
% 50.12/33.11 tff(30527,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB161)) | (~v201(constB161)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB161)) | (~v201(constB161)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30528,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB161)) | (~v201(constB161)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30529,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB161)) | (~v201(constB161))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30528, 30527])).
% 50.12/33.11 tff(30530,plain,
% 50.12/33.11 (~v201(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30529, 15064, 30526])).
% 50.12/33.11 tff(30531,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB161) | (~v198(constB161)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB161) | (~v198(constB161)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30532,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB161) | (~v198(constB161)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30533,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB161) | (~v198(constB161))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30532, 30531])).
% 50.12/33.11 tff(30534,plain,
% 50.12/33.11 (v197(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30533, 15078, 30526])).
% 50.12/33.11 tff(30535,plain,
% 50.12/33.11 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB161) | (~v197(constB161)) | v201(constB161))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB161) | (~v197(constB161)) | v201(constB161))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30536,plain,
% 50.12/33.11 (((~v197(constB161)) | v201(constB161) | v227(constB161)) <=> (v227(constB161) | (~v197(constB161)) | v201(constB161))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30537,plain,
% 50.12/33.11 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB161)) | v201(constB161) | v227(constB161))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB161) | (~v197(constB161)) | v201(constB161)))),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30536])).
% 50.12/33.11 tff(30538,plain,
% 50.12/33.11 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB161)) | v201(constB161) | v227(constB161))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB161) | (~v197(constB161)) | v201(constB161))),
% 50.12/33.11 inference(transitivity,[status(thm)],[30537, 30535])).
% 50.12/33.11 tff(30539,plain,
% 50.12/33.11 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB161)) | v201(constB161) | v227(constB161))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30540,plain,
% 50.12/33.11 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB161) | (~v197(constB161)) | v201(constB161)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30539, 30538])).
% 50.12/33.11 tff(30541,plain,
% 50.12/33.11 (v227(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30540, 15092, 30534, 30530])).
% 50.12/33.11 tff(30542,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB161)) | (~v223(constB161, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB161)) | (~v223(constB161, 0)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30543,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB161)) | (~v223(constB161, 0)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30544,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB161)) | (~v223(constB161, 0))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30543, 30542])).
% 50.12/33.11 tff(30545,plain,
% 50.12/33.11 (~v223(constB161, 0)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30544, 15109, 30541])).
% 50.12/33.11 tff(30546,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB161)) | v223(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB161)) | v223(constB161, 0))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30547,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB161)) | v223(constB161, 0))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30548,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB161)) | v223(constB161, 0)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30547, 30546])).
% 50.12/33.11 tff(30549,plain,
% 50.12/33.11 (~v222(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30548, 15120, 30545])).
% 50.12/33.11 tff(30550,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB161)) | (~v88(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB161)) | (~v88(constB161, 1)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30551,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB161)) | (~v88(constB161, 1)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30552,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB161)) | (~v88(constB161, 1))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 50.12/33.11 tff(30553,plain,
% 50.12/33.11 (~v139(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30552, 15131, 30506])).
% 50.12/33.11 tff(30554,plain,
% 50.12/33.11 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ((~v140(VarCurr)) | v88(VarCurr, 0)))),
% 50.12/33.11 inference(bind,[status(th)],[])).
% 50.12/33.11 tff(30555,plain,
% 50.12/33.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 50.12/33.11 inference(quant_intro,[status(thm)],[30554])).
% 50.12/33.11 tff(30556,plain,
% 50.12/33.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30557,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 50.12/33.11 tff(30558,plain,
% 50.12/33.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30557, 30556])).
% 50.12/33.11 tff(30559,plain,(
% 50.12/33.11 ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 50.12/33.11 inference(skolemize,[status(sab)],[30558])).
% 50.12/33.11 tff(30560,plain,
% 50.12/33.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30559, 30555])).
% 50.12/33.11 tff(30561,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB161)) | v88(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB161)) | v88(constB161, 0))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30562,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB161)) | v88(constB161, 0))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30563,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB161)) | v88(constB161, 0)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30562, 30561])).
% 50.12/33.11 tff(30564,plain,
% 50.12/33.11 (~v140(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30563, 30560, 30511])).
% 50.12/33.11 tff(30565,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v200(constB161)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB161) | v140(constB161) | (~v200(constB161)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30566,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v200(constB161)))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30567,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB161) | v140(constB161) | (~v200(constB161))),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30566, 30565])).
% 50.12/33.11 tff(30568,plain,
% 50.12/33.11 (~v200(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30567, 15156, 30564, 30553])).
% 50.12/33.11 tff(30569,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB161)) | v88(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB161)) | v88(constB161, 0))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30570,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB161)) | v88(constB161, 0))),
% 50.12/33.11 inference(quant_inst,[status(thm)],[])).
% 50.12/33.11 tff(30571,plain,
% 50.12/33.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB161)) | v88(constB161, 0)),
% 50.12/33.11 inference(modus_ponens,[status(thm)],[30570, 30569])).
% 50.12/33.11 tff(30572,plain,
% 50.12/33.11 (~v141(constB161)),
% 50.12/33.11 inference(unit_resolution,[status(thm)],[30571, 26106, 30511])).
% 50.12/33.11 tff(30573,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB161) | v200(constB161) | (~v166(constB161)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB161) | v200(constB161) | (~v166(constB161)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30574,plain,
% 50.12/33.11 ((v141(constB161) | (~v166(constB161)) | v200(constB161)) <=> (v141(constB161) | v200(constB161) | (~v166(constB161)))),
% 50.12/33.11 inference(rewrite,[status(thm)],[])).
% 50.12/33.11 tff(30575,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB161) | (~v166(constB161)) | v200(constB161))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB161) | v200(constB161) | (~v166(constB161))))),
% 50.12/33.11 inference(monotonicity,[status(thm)],[30574])).
% 50.12/33.11 tff(30576,plain,
% 50.12/33.11 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB161) | (~v166(constB161)) | v200(constB161))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB161) | v200(constB161) | (~v166(constB161)))),
% 50.12/33.11 inference(transitivity,[status(thm)],[30575, 30573])).
% 50.12/33.12 tff(30577,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB161) | (~v166(constB161)) | v200(constB161))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30578,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB161) | v200(constB161) | (~v166(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30577, 30576])).
% 50.12/33.12 tff(30579,plain,
% 50.12/33.12 (v200(constB161) | (~v166(constB161))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30578, 15181, 30572])).
% 50.12/33.12 tff(30580,plain,
% 50.12/33.12 (~v166(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30579, 30568])).
% 50.12/33.12 tff(30581,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB161) | (~v197(constB161)) | v166(constB161))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB161) | (~v197(constB161)) | v166(constB161))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30582,plain,
% 50.12/33.12 (((~v197(constB161)) | v166(constB161) | v241(constB161)) <=> (v241(constB161) | (~v197(constB161)) | v166(constB161))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30583,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB161)) | v166(constB161) | v241(constB161))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB161) | (~v197(constB161)) | v166(constB161)))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30582])).
% 50.12/33.12 tff(30584,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB161)) | v166(constB161) | v241(constB161))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB161) | (~v197(constB161)) | v166(constB161))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30583, 30581])).
% 50.12/33.12 tff(30585,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB161)) | v166(constB161) | v241(constB161))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30586,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB161) | (~v197(constB161)) | v166(constB161)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30585, 30584])).
% 50.12/33.12 tff(30587,plain,
% 50.12/33.12 (v241(constB161) | (~v197(constB161))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30586, 15198, 30580])).
% 50.12/33.12 tff(30588,plain,
% 50.12/33.12 (v241(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30587, 30534])).
% 50.12/33.12 tff(30589,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB161)) | (~v223(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB161)) | (~v223(constB161, 2)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30590,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB161)) | (~v223(constB161, 2)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30591,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB161)) | (~v223(constB161, 2))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30590, 30589])).
% 50.12/33.12 tff(30592,plain,
% 50.12/33.12 (~v223(constB161, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30591, 15216, 30588])).
% 50.12/33.12 tff(30593,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB161)) | v223(constB161, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB161)) | v223(constB161, 2))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30594,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB161)) | v223(constB161, 2))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30595,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB161)) | v223(constB161, 2)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30594, 30593])).
% 50.12/33.12 tff(30596,plain,
% 50.12/33.12 (~v224(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30595, 15227, 30592])).
% 50.12/33.12 tff(30597,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB161) | v224(constB161) | (~v236(constB161)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB161) | v224(constB161) | (~v236(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30598,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB161) | v224(constB161) | (~v236(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30599,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB161) | v224(constB161) | (~v236(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30598, 30597])).
% 50.12/33.12 tff(30600,plain,
% 50.12/33.12 (v222(constB161) | (~v236(constB161))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30599, 15241, 30596])).
% 50.12/33.12 tff(30601,plain,
% 50.12/33.12 (~v236(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30600, 30549])).
% 50.12/33.12 tff(30602,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB161) | (~v232(constB161)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB161) | (~v232(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30603,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB161) | (~v232(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30604,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB161) | (~v232(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30603, 30602])).
% 50.12/33.12 tff(30605,plain,
% 50.12/33.12 (~v232(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30604, 15255, 30601])).
% 50.12/33.12 tff(30606,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v148(constB161)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB161) | v140(constB161) | (~v148(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30607,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v148(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30608,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB161) | v140(constB161) | (~v148(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30607, 30606])).
% 50.12/33.12 tff(30609,plain,
% 50.12/33.12 (~v148(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30608, 15269, 30564, 30553])).
% 50.12/33.12 tff(30610,plain,
% 50.12/33.12 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB161) | v252(constB161) | (~v197(constB161)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB161) | v252(constB161) | (~v197(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30611,plain,
% 50.12/33.12 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB161) | v252(constB161) | (~v197(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30612,plain,
% 50.12/33.12 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB161) | v252(constB161) | (~v197(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30611, 30610])).
% 50.12/33.12 tff(30613,plain,
% 50.12/33.12 (v252(constB161) | (~v197(constB161))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30612, 15283, 30609])).
% 50.12/33.12 tff(30614,plain,
% 50.12/33.12 (v252(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30613, 30534])).
% 50.12/33.12 tff(30615,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB161)) | (~v223(constB161, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB161)) | (~v223(constB161, 3)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30616,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB161)) | (~v223(constB161, 3)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30617,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB161)) | (~v223(constB161, 3))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30616, 30615])).
% 50.12/33.12 tff(30618,plain,
% 50.12/33.12 (~v223(constB161, 3)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30617, 15298, 30614])).
% 50.12/33.12 tff(30619,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB161)) | v223(constB161, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB161)) | v223(constB161, 3))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30620,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB161)) | v223(constB161, 3))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30621,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB161)) | v223(constB161, 3)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30620, 30619])).
% 50.12/33.12 tff(30622,plain,
% 50.12/33.12 (~v237(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30621, 15309, 30618])).
% 50.12/33.12 tff(30623,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB161) | v237(constB161) | (~v248(constB161)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB161) | v237(constB161) | (~v248(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30624,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB161) | v237(constB161) | (~v248(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30625,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB161) | v237(constB161) | (~v248(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 50.12/33.12 tff(30626,plain,
% 50.12/33.12 (v232(constB161) | (~v248(constB161))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30625, 15323, 30622])).
% 50.12/33.12 tff(30627,plain,
% 50.12/33.12 (~v248(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30626, 30605])).
% 50.12/33.12 tff(30628,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB161) | (~v244(constB161)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB161) | (~v244(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30629,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB161) | (~v244(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30630,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB161) | (~v244(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30629, 30628])).
% 50.12/33.12 tff(30631,plain,
% 50.12/33.12 (~v244(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30630, 15338, 30627])).
% 50.12/33.12 tff(30632,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB161) | (~v216(constB161, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB161) | (~v216(constB161, 1)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30633,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB161) | (~v216(constB161, 1)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30634,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB161) | (~v216(constB161, 1))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30633, 30632])).
% 50.12/33.12 tff(30635,plain,
% 50.12/33.12 (~v216(constB161, 1)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30634, 15352, 30631])).
% 50.12/33.12 tff(30636,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB161)) | v216(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB161)) | v216(constB161, 1))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30637,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB161)) | v216(constB161, 1))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30638,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB161)) | v216(constB161, 1)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30637, 30636])).
% 50.12/33.12 tff(30639,plain,
% 50.12/33.12 (~v254(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30638, 15363, 30635])).
% 50.12/33.12 tff(30640,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB161) | (~v221(constB161)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB161) | (~v221(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30641,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB161) | (~v221(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30642,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB161) | (~v221(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30641, 30640])).
% 50.12/33.12 tff(30643,plain,
% 50.12/33.12 (~v221(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30642, 15377, 30596])).
% 50.12/33.12 tff(30644,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB161) | (~v231(constB161)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB161) | (~v231(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30645,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB161) | (~v231(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30646,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB161) | (~v231(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30645, 30644])).
% 50.12/33.12 tff(30647,plain,
% 50.12/33.12 (~v231(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30646, 15391, 30622])).
% 50.12/33.12 tff(30648,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB161) | v231(constB161) | (~v243(constB161)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB161) | v231(constB161) | (~v243(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30649,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB161) | v231(constB161) | (~v243(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30650,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB161) | v231(constB161) | (~v243(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30649, 30648])).
% 50.12/33.12 tff(30651,plain,
% 50.12/33.12 (~v243(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30650, 15405, 30647, 30643])).
% 50.12/33.12 tff(30652,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB161) | v255(constB161))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB161) | v255(constB161))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30653,plain,
% 50.12/33.12 ((v255(constB161) | v243(constB161)) <=> (v243(constB161) | v255(constB161))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30654,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB161) | v243(constB161))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB161) | v255(constB161)))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30653])).
% 50.12/33.12 tff(30655,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB161) | v243(constB161))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB161) | v255(constB161))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30654, 30652])).
% 50.12/33.12 tff(30656,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB161) | v243(constB161))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30657,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB161) | v255(constB161)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30656, 30655])).
% 50.12/33.12 tff(30658,plain,
% 50.12/33.12 (v255(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30657, 15416, 30651])).
% 50.12/33.12 tff(30659,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB161)) | (~v216(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB161)) | (~v216(constB161, 2)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30660,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB161)) | (~v216(constB161, 2)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30661,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB161)) | (~v216(constB161, 2))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30660, 30659])).
% 50.12/33.12 tff(30662,plain,
% 50.12/33.12 (~v216(constB161, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30661, 15433, 30658])).
% 50.12/33.12 tff(30663,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB161, 2) | v254(constB161) | (~v215(constB161)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB161, 2) | v254(constB161) | (~v215(constB161)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30664,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB161, 2) | v254(constB161) | (~v215(constB161)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30665,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB161, 2) | v254(constB161) | (~v215(constB161))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 50.12/33.12 tff(30666,plain,
% 50.12/33.12 (v254(constB161) | (~v215(constB161))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30665, 15447, 30662])).
% 50.12/33.12 tff(30667,plain,
% 50.12/33.12 (~v215(constB161)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30666, 30639])).
% 50.12/33.12 tff(30668,plain,
% 50.12/33.12 ($false),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30667, 30454])).
% 50.12/33.12 tff(30669,plain,(~(constB161 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.12 tff(30670,assumption,(constB113 = sK_VarCurr), introduced(assumption)).
% 50.12/33.12 tff(30671,plain,
% 50.12/33.12 (v215(constB113) <=> v215(sK_VarCurr)),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30670])).
% 50.12/33.12 tff(30672,plain,
% 50.12/33.12 (v215(sK_VarCurr) <=> v215(constB113)),
% 50.12/33.12 inference(symmetry,[status(thm)],[30671])).
% 50.12/33.12 tff(30673,plain,
% 50.12/33.12 (v215(constB113)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[34, 30672])).
% 50.12/33.12 tff(30674,plain,
% 50.12/33.12 (~v130(constB111, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14021, 767, 13928])).
% 50.12/33.12 tff(30675,plain,
% 50.12/33.12 (~v127(constB111, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14029, 30674])).
% 50.12/33.12 tff(30676,plain,
% 50.12/33.12 (~v129(constB112, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14034, 30675])).
% 50.12/33.12 tff(30677,plain,
% 50.12/33.12 ((~v90(constB112, 2)) | (~v100(constB112))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14038, 626, 30676])).
% 50.12/33.12 tff(30678,plain,
% 50.12/33.12 (~v90(constB112, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30677, 14295])).
% 50.12/33.12 tff(30679,plain,
% 50.12/33.12 (~v90(constB113, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14066, 30678])).
% 50.12/33.12 tff(30680,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB113, 2)) | v90(constB113, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB113, 2)) | v90(constB113, 2))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30681,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB113, 2)) | v90(constB113, 2))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30682,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB113, 2)) | v90(constB113, 2)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 50.12/33.12 tff(30683,plain,
% 50.12/33.12 (~v88(constB113, 2)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30682, 26020, 30679])).
% 50.12/33.12 tff(30684,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB113, 0)) | v90(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB113, 0)) | v90(constB113, 0))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30685,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB113, 0)) | v90(constB113, 0))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30686,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB113, 0)) | v90(constB113, 0)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30685, 30684])).
% 50.12/33.12 tff(30687,plain,
% 50.12/33.12 (~v88(constB113, 0)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30686, 14930, 14301])).
% 50.12/33.12 tff(30688,plain,
% 50.12/33.12 (v130(constB111, 1)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14070, 838, 13928])).
% 50.12/33.12 tff(30689,plain,
% 50.12/33.12 (v127(constB111, 1)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14075, 30688])).
% 50.12/33.12 tff(30690,plain,
% 50.12/33.12 (v129(constB112, 1)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14080, 30689])).
% 50.12/33.12 tff(30691,plain,
% 50.12/33.12 (v90(constB112, 1) | (~v100(constB112))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14087, 882, 30690])).
% 50.12/33.12 tff(30692,plain,
% 50.12/33.12 (v90(constB112, 1)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30691, 14295])).
% 50.12/33.12 tff(30693,plain,
% 50.12/33.12 (v90(constB113, 1)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[14097, 30692])).
% 50.12/33.12 tff(30694,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB113, 1)) | v88(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB113, 1)) | v88(constB113, 1))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30695,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB113, 1)) | v88(constB113, 1))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30696,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB113, 1)) | v88(constB113, 1)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30695, 30694])).
% 50.12/33.12 tff(30697,plain,
% 50.12/33.12 (v88(constB113, 1)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30696, 15014, 30693])).
% 50.12/33.12 tff(30698,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)) | v143(constB113))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)) | v143(constB113))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30699,plain,
% 50.12/33.12 ((v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113)) <=> (v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)) | v143(constB113))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30700,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)) | v143(constB113)))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30699])).
% 50.12/33.12 tff(30701,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)) | v143(constB113))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30700, 30698])).
% 50.12/33.12 tff(30702,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30703,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)) | v143(constB113)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30702, 30701])).
% 50.12/33.12 tff(30704,plain,
% 50.12/33.12 (v143(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30703, 26042, 30697, 30687, 30683])).
% 50.12/33.12 tff(30705,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB113)) | v142(constB113))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30706,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30707,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB113)) | v142(constB113)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30706, 30705])).
% 50.12/33.12 tff(30708,plain,
% 50.12/33.12 (v142(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30707, 26056, 30704])).
% 50.12/33.12 tff(30709,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB113) | (~v142(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30710,plain,
% 50.12/33.12 (((~v142(constB113)) | v198(constB113)) <=> (v198(constB113) | (~v142(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30711,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB113)) | v198(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB113) | (~v142(constB113))))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30710])).
% 50.12/33.12 tff(30712,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB113)) | v198(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB113) | (~v142(constB113)))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30711, 30709])).
% 50.12/33.12 tff(30713,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB113)) | v198(constB113))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30714,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB113) | (~v142(constB113))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30713, 30712])).
% 50.12/33.12 tff(30715,plain,
% 50.12/33.12 (v198(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30714, 15053, 30708])).
% 50.12/33.12 tff(30716,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB113) | (~v198(constB113)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB113) | (~v198(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30717,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB113) | (~v198(constB113)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30718,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB113) | (~v198(constB113))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30717, 30716])).
% 50.12/33.12 tff(30719,plain,
% 50.12/33.12 (v197(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30718, 15078, 30715])).
% 50.12/33.12 tff(30720,plain,
% 50.12/33.12 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v183(VarCurr)) <=> ((~v142(VarCurr)) | v183(VarCurr)))),
% 50.12/33.12 inference(bind,[status(th)],[])).
% 50.12/33.12 tff(30721,plain,
% 50.12/33.12 (![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))),
% 50.12/33.12 inference(quant_intro,[status(thm)],[30720])).
% 50.12/33.12 tff(30722,plain,
% 50.12/33.12 (![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30723,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1_1')).
% 50.12/33.12 tff(30724,plain,
% 50.12/33.12 (![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30723, 30722])).
% 50.12/33.12 tff(30725,plain,(
% 50.12/33.12 ![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))),
% 50.12/33.12 inference(skolemize,[status(sab)],[30724])).
% 50.12/33.12 tff(30726,plain,
% 50.12/33.12 (![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30725, 30721])).
% 50.12/33.12 tff(30727,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | (v183(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | v183(constB113) | (~v142(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30728,plain,
% 50.12/33.12 (((~v142(constB113)) | v183(constB113)) <=> (v183(constB113) | (~v142(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30729,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | ((~v142(constB113)) | v183(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | (v183(constB113) | (~v142(constB113))))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30728])).
% 50.12/33.12 tff(30730,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | ((~v142(constB113)) | v183(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | v183(constB113) | (~v142(constB113)))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30729, 30727])).
% 50.12/33.12 tff(30731,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | ((~v142(constB113)) | v183(constB113))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30732,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v183(VarCurr))) | v183(constB113) | (~v142(constB113))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30731, 30730])).
% 50.12/33.12 tff(30733,plain,
% 50.12/33.12 (v183(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30732, 30726, 30708])).
% 50.12/33.12 tff(30734,plain,
% 50.12/33.12 (^[VarNext: state_type] : refl(((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext))) <=> ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext))))),
% 50.12/33.12 inference(bind,[status(th)],[])).
% 50.12/33.12 tff(30735,plain,
% 50.12/33.12 (![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext))) <=> ![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))),
% 50.12/33.12 inference(quant_intro,[status(thm)],[30734])).
% 50.12/33.12 tff(30736,plain,
% 50.12/33.12 (![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext))) <=> ![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30737,plain,
% 50.12/33.12 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v197(VarNext)) | (~v183(VarNext))) <=> ((~v197(VarNext)) | (~v183(VarNext)))), ((((~v197(VarNext)) | (~v183(VarNext))) | (~v228(VarNext))) <=> (((~v197(VarNext)) | (~v183(VarNext))) | (~v228(VarNext))))), rewrite((((~v197(VarNext)) | (~v183(VarNext))) | (~v228(VarNext))) <=> ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))), ((((~v197(VarNext)) | (~v183(VarNext))) | (~v228(VarNext))) <=> ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))))),
% 50.12/33.12 inference(bind,[status(th)],[])).
% 50.12/33.12 tff(30738,plain,
% 50.12/33.12 (![VarNext: state_type] : (((~v197(VarNext)) | (~v183(VarNext))) | (~v228(VarNext))) <=> ![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))),
% 50.12/33.12 inference(quant_intro,[status(thm)],[30737])).
% 50.12/33.12 tff(30739,axiom,(![VarNext: state_type] : (((~v197(VarNext)) | (~v183(VarNext))) | (~v228(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6_1_1')).
% 50.12/33.12 tff(30740,plain,
% 50.12/33.12 (![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30739, 30738])).
% 50.12/33.12 tff(30741,plain,
% 50.12/33.12 (![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30740, 30736])).
% 50.12/33.12 tff(30742,plain,(
% 50.12/33.12 ![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))),
% 50.12/33.12 inference(skolemize,[status(sab)],[30741])).
% 50.12/33.12 tff(30743,plain,
% 50.12/33.12 (![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30742, 30735])).
% 50.12/33.12 tff(30744,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | ((~v228(constB113)) | (~v197(constB113)) | (~v183(constB113)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | (~v228(constB113)) | (~v197(constB113)) | (~v183(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30745,plain,
% 50.12/33.12 (((~v197(constB113)) | (~v183(constB113)) | (~v228(constB113))) <=> ((~v228(constB113)) | (~v197(constB113)) | (~v183(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30746,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | ((~v197(constB113)) | (~v183(constB113)) | (~v228(constB113)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | ((~v228(constB113)) | (~v197(constB113)) | (~v183(constB113))))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30745])).
% 50.12/33.12 tff(30747,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | ((~v197(constB113)) | (~v183(constB113)) | (~v228(constB113)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | (~v228(constB113)) | (~v197(constB113)) | (~v183(constB113)))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30746, 30744])).
% 50.12/33.12 tff(30748,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | ((~v197(constB113)) | (~v183(constB113)) | (~v228(constB113)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30749,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | (~v183(VarNext)) | (~v228(VarNext)))) | (~v228(constB113)) | (~v197(constB113)) | (~v183(constB113))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 50.12/33.12 tff(30750,plain,
% 50.12/33.12 (~v228(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30749, 30743, 30719, 30733])).
% 50.12/33.12 tff(30751,assumption,(v197(constB113)), introduced(assumption)).
% 50.12/33.12 tff(30752,assumption,(~v228(constB113)), introduced(assumption)).
% 50.12/33.12 tff(30753,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB113) | (~v197(constB113)) | v183(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB113) | (~v197(constB113)) | v183(constB113))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30754,plain,
% 50.12/33.12 (((~v197(constB113)) | v183(constB113) | v228(constB113)) <=> (v228(constB113) | (~v197(constB113)) | v183(constB113))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30755,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB113)) | v183(constB113) | v228(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB113) | (~v197(constB113)) | v183(constB113)))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30754])).
% 50.12/33.12 tff(30756,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB113)) | v183(constB113) | v228(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB113) | (~v197(constB113)) | v183(constB113))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30755, 30753])).
% 50.12/33.12 tff(30757,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB113)) | v183(constB113) | v228(constB113))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30758,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB113) | (~v197(constB113)) | v183(constB113)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 50.12/33.12 tff(30759,plain,
% 50.12/33.12 ((~v197(constB113)) | v183(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30758, 26340, 30752])).
% 50.12/33.12 tff(30760,plain,
% 50.12/33.12 (v183(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30759, 30751])).
% 50.12/33.12 tff(30761,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB113)) | (~v199(constB113)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB113)) | (~v199(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30762,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB113)) | (~v199(constB113)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30763,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB113)) | (~v199(constB113))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30762, 30761])).
% 50.12/33.12 tff(30764,plain,
% 50.12/33.12 (~v199(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30763, 26326, 30760])).
% 50.12/33.12 tff(30765,plain,
% 50.12/33.12 (^[VarCurr: state_type] : refl((v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr)) <=> (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr)))),
% 50.12/33.12 inference(bind,[status(th)],[])).
% 50.12/33.12 tff(30766,plain,
% 50.12/33.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))),
% 50.12/33.12 inference(quant_intro,[status(thm)],[30765])).
% 50.12/33.12 tff(30767,plain,
% 50.12/33.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30768,plain,
% 50.12/33.12 (^[VarCurr: state_type] : rewrite(((v142(VarCurr) | v199(VarCurr)) | (~v183(VarCurr))) <=> (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr)))),
% 50.12/33.12 inference(bind,[status(th)],[])).
% 50.12/33.12 tff(30769,plain,
% 50.12/33.12 (![VarCurr: state_type] : ((v142(VarCurr) | v199(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))),
% 50.12/33.12 inference(quant_intro,[status(thm)],[30768])).
% 50.12/33.12 tff(30770,axiom,(![VarCurr: state_type] : ((v142(VarCurr) | v199(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_1_1_1')).
% 50.12/33.12 tff(30771,plain,
% 50.12/33.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30770, 30769])).
% 50.12/33.12 tff(30772,plain,
% 50.12/33.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30771, 30767])).
% 50.12/33.12 tff(30773,plain,(
% 50.12/33.12 ![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))),
% 50.12/33.12 inference(skolemize,[status(sab)],[30772])).
% 50.12/33.12 tff(30774,plain,
% 50.12/33.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30773, 30766])).
% 50.12/33.12 tff(30775,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))) | (v142(constB113) | (~v183(constB113)) | v199(constB113))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))) | v142(constB113) | (~v183(constB113)) | v199(constB113))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30776,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))) | (v142(constB113) | (~v183(constB113)) | v199(constB113))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30777,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : (v142(VarCurr) | (~v183(VarCurr)) | v199(VarCurr))) | v142(constB113) | (~v183(constB113)) | v199(constB113)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30776, 30775])).
% 50.12/33.12 tff(30778,plain,
% 50.12/33.12 (v142(constB113) | v199(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30777, 30774, 30760])).
% 50.12/33.12 tff(30779,plain,
% 50.12/33.12 (v142(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30778, 30764])).
% 50.12/33.12 tff(30780,assumption,(~v227(constB113)), introduced(assumption)).
% 50.12/33.12 tff(30781,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB113) | v201(constB113) | (~v197(constB113)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB113) | v201(constB113) | (~v197(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30782,plain,
% 50.12/33.12 (((~v197(constB113)) | v201(constB113) | v227(constB113)) <=> (v227(constB113) | v201(constB113) | (~v197(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30783,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB113)) | v201(constB113) | v227(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB113) | v201(constB113) | (~v197(constB113))))),
% 50.12/33.12 inference(monotonicity,[status(thm)],[30782])).
% 50.12/33.12 tff(30784,plain,
% 50.12/33.12 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB113)) | v201(constB113) | v227(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB113) | v201(constB113) | (~v197(constB113)))),
% 50.12/33.12 inference(transitivity,[status(thm)],[30783, 30781])).
% 50.12/33.12 tff(30785,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB113)) | v201(constB113) | v227(constB113))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30786,plain,
% 50.12/33.12 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB113) | v201(constB113) | (~v197(constB113))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30785, 30784])).
% 50.12/33.12 tff(30787,plain,
% 50.12/33.12 (v201(constB113) | (~v197(constB113))),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30786, 15092, 30780])).
% 50.12/33.12 tff(30788,plain,
% 50.12/33.12 (v201(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30787, 30751])).
% 50.12/33.12 tff(30789,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB113)) | (~v201(constB113)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB113)) | (~v201(constB113)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30790,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB113)) | (~v201(constB113)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30791,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB113)) | (~v201(constB113))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30790, 30789])).
% 50.12/33.12 tff(30792,plain,
% 50.12/33.12 (~v198(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30791, 15064, 30788])).
% 50.12/33.12 tff(30793,plain,
% 50.12/33.12 ($false),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30714, 15053, 30792, 30779])).
% 50.12/33.12 tff(30794,plain,((~v197(constB113)) | v227(constB113) | v228(constB113)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.12 tff(30795,plain,
% 50.12/33.12 (v227(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30794, 30750, 30719])).
% 50.12/33.12 tff(30796,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB113)) | (~v223(constB113, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB113)) | (~v223(constB113, 0)))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30797,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB113)) | (~v223(constB113, 0)))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30798,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB113)) | (~v223(constB113, 0))),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30797, 30796])).
% 50.12/33.12 tff(30799,plain,
% 50.12/33.12 (~v223(constB113, 0)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30798, 15109, 30795])).
% 50.12/33.12 tff(30800,plain,
% 50.12/33.12 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB113)) | v223(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB113)) | v223(constB113, 0))),
% 50.12/33.12 inference(rewrite,[status(thm)],[])).
% 50.12/33.12 tff(30801,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB113)) | v223(constB113, 0))),
% 50.12/33.12 inference(quant_inst,[status(thm)],[])).
% 50.12/33.12 tff(30802,plain,
% 50.12/33.12 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB113)) | v223(constB113, 0)),
% 50.12/33.12 inference(modus_ponens,[status(thm)],[30801, 30800])).
% 50.12/33.12 tff(30803,plain,
% 50.12/33.12 (~v222(constB113)),
% 50.12/33.12 inference(unit_resolution,[status(thm)],[30802, 15120, 30799])).
% 50.12/33.13 tff(30804,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB113)) | (~v88(constB113, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB113)) | (~v88(constB113, 1)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30805,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB113)) | (~v88(constB113, 1)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30806,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB113)) | (~v88(constB113, 1))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30805, 30804])).
% 50.12/33.13 tff(30807,plain,
% 50.12/33.13 (~v139(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30806, 15131, 30697])).
% 50.12/33.13 tff(30808,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB113)) | (~v88(constB113, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB113)) | (~v88(constB113, 1)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30809,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB113)) | (~v88(constB113, 1)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30810,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB113)) | (~v88(constB113, 1))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30809, 30808])).
% 50.12/33.13 tff(30811,plain,
% 50.12/33.13 (~v140(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30810, 15142, 30697])).
% 50.12/33.13 tff(30812,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v200(constB113)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB113) | v140(constB113) | (~v200(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30813,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v200(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30814,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB113) | v140(constB113) | (~v200(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30813, 30812])).
% 50.12/33.13 tff(30815,plain,
% 50.12/33.13 (~v200(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30814, 15156, 30811, 30807])).
% 50.12/33.13 tff(30816,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB113)) | v88(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB113)) | v88(constB113, 0))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30817,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB113)) | v88(constB113, 0))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30818,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB113)) | v88(constB113, 0)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30817, 30816])).
% 50.12/33.13 tff(30819,plain,
% 50.12/33.13 (~v141(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30818, 26106, 30687])).
% 50.12/33.13 tff(30820,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | ((~v166(constB113)) | v200(constB113) | v141(constB113))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (~v166(constB113)) | v200(constB113) | v141(constB113))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30821,plain,
% 50.12/33.13 ((v141(constB113) | (~v166(constB113)) | v200(constB113)) <=> ((~v166(constB113)) | v200(constB113) | v141(constB113))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30822,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB113) | (~v166(constB113)) | v200(constB113))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | ((~v166(constB113)) | v200(constB113) | v141(constB113)))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30821])).
% 50.12/33.13 tff(30823,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB113) | (~v166(constB113)) | v200(constB113))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (~v166(constB113)) | v200(constB113) | v141(constB113))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30822, 30820])).
% 50.12/33.13 tff(30824,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB113) | (~v166(constB113)) | v200(constB113))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30825,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (~v166(constB113)) | v200(constB113) | v141(constB113)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30824, 30823])).
% 50.12/33.13 tff(30826,plain,
% 50.12/33.13 (~v166(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30825, 15181, 30819, 30815])).
% 50.12/33.13 tff(30827,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB113) | (~v197(constB113)) | v166(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB113) | (~v197(constB113)) | v166(constB113))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30828,plain,
% 50.12/33.13 (((~v197(constB113)) | v166(constB113) | v241(constB113)) <=> (v241(constB113) | (~v197(constB113)) | v166(constB113))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30829,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB113)) | v166(constB113) | v241(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB113) | (~v197(constB113)) | v166(constB113)))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30828])).
% 50.12/33.13 tff(30830,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB113)) | v166(constB113) | v241(constB113))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB113) | (~v197(constB113)) | v166(constB113))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30829, 30827])).
% 50.12/33.13 tff(30831,plain,
% 50.12/33.13 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB113)) | v166(constB113) | v241(constB113))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30832,plain,
% 50.12/33.13 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB113) | (~v197(constB113)) | v166(constB113)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 50.12/33.13 tff(30833,plain,
% 50.12/33.13 (v241(constB113) | (~v197(constB113))),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30832, 15198, 30826])).
% 50.12/33.13 tff(30834,plain,
% 50.12/33.13 (v241(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30833, 30719])).
% 50.12/33.13 tff(30835,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB113)) | (~v223(constB113, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB113)) | (~v223(constB113, 2)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30836,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB113)) | (~v223(constB113, 2)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30837,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB113)) | (~v223(constB113, 2))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30836, 30835])).
% 50.12/33.13 tff(30838,plain,
% 50.12/33.13 (~v223(constB113, 2)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30837, 15216, 30834])).
% 50.12/33.13 tff(30839,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB113)) | v223(constB113, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB113)) | v223(constB113, 2))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30840,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB113)) | v223(constB113, 2))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30841,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB113)) | v223(constB113, 2)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30840, 30839])).
% 50.12/33.13 tff(30842,plain,
% 50.12/33.13 (~v224(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30841, 15227, 30838])).
% 50.12/33.13 tff(30843,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB113) | v224(constB113) | (~v236(constB113)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB113) | v224(constB113) | (~v236(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30844,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB113) | v224(constB113) | (~v236(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30845,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB113) | v224(constB113) | (~v236(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30844, 30843])).
% 50.12/33.13 tff(30846,plain,
% 50.12/33.13 (~v236(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30845, 15241, 30842, 30803])).
% 50.12/33.13 tff(30847,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB113) | (~v232(constB113)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB113) | (~v232(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30848,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB113) | (~v232(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30849,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB113) | (~v232(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30848, 30847])).
% 50.12/33.13 tff(30850,plain,
% 50.12/33.13 (~v232(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30849, 15255, 30846])).
% 50.12/33.13 tff(30851,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v148(constB113)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB113) | v140(constB113) | (~v148(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30852,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v148(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30853,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB113) | v140(constB113) | (~v148(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30852, 30851])).
% 50.12/33.13 tff(30854,plain,
% 50.12/33.13 (~v148(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30853, 15269, 30811, 30807])).
% 50.12/33.13 tff(30855,plain,
% 50.12/33.13 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB113) | v252(constB113) | (~v197(constB113)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB113) | v252(constB113) | (~v197(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30856,plain,
% 50.12/33.13 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB113) | v252(constB113) | (~v197(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30857,plain,
% 50.12/33.13 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB113) | v252(constB113) | (~v197(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30856, 30855])).
% 50.12/33.13 tff(30858,plain,
% 50.12/33.13 (v252(constB113) | (~v197(constB113))),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30857, 15283, 30854])).
% 50.12/33.13 tff(30859,plain,
% 50.12/33.13 (v252(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30858, 30719])).
% 50.12/33.13 tff(30860,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB113)) | (~v223(constB113, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB113)) | (~v223(constB113, 3)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30861,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB113)) | (~v223(constB113, 3)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30862,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB113)) | (~v223(constB113, 3))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 50.12/33.13 tff(30863,plain,
% 50.12/33.13 (~v223(constB113, 3)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30862, 15298, 30859])).
% 50.12/33.13 tff(30864,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB113)) | v223(constB113, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB113)) | v223(constB113, 3))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30865,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB113)) | v223(constB113, 3))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30866,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB113)) | v223(constB113, 3)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 50.12/33.13 tff(30867,plain,
% 50.12/33.13 (~v237(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30866, 15309, 30863])).
% 50.12/33.13 tff(30868,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB113) | v237(constB113) | (~v248(constB113)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB113) | v237(constB113) | (~v248(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30869,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB113) | v237(constB113) | (~v248(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30870,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB113) | v237(constB113) | (~v248(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30869, 30868])).
% 50.12/33.13 tff(30871,plain,
% 50.12/33.13 (v232(constB113) | (~v248(constB113))),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30870, 15323, 30867])).
% 50.12/33.13 tff(30872,plain,
% 50.12/33.13 (~v248(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30871, 30850])).
% 50.12/33.13 tff(30873,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB113) | (~v244(constB113)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB113) | (~v244(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30874,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB113) | (~v244(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30875,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB113) | (~v244(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 50.12/33.13 tff(30876,plain,
% 50.12/33.13 (~v244(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30875, 15338, 30872])).
% 50.12/33.13 tff(30877,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB113) | (~v216(constB113, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB113) | (~v216(constB113, 1)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30878,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB113) | (~v216(constB113, 1)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30879,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB113) | (~v216(constB113, 1))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30878, 30877])).
% 50.12/33.13 tff(30880,plain,
% 50.12/33.13 (~v216(constB113, 1)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30879, 15352, 30876])).
% 50.12/33.13 tff(30881,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB113)) | v216(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB113)) | v216(constB113, 1))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30882,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB113)) | v216(constB113, 1))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30883,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB113)) | v216(constB113, 1)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30882, 30881])).
% 50.12/33.13 tff(30884,plain,
% 50.12/33.13 (~v254(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30883, 15363, 30880])).
% 50.12/33.13 tff(30885,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB113) | (~v221(constB113)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB113) | (~v221(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30886,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB113) | (~v221(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30887,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB113) | (~v221(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30886, 30885])).
% 50.12/33.13 tff(30888,plain,
% 50.12/33.13 (~v221(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30887, 15377, 30842])).
% 50.12/33.13 tff(30889,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB113) | (~v231(constB113)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB113) | (~v231(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30890,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB113) | (~v231(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30891,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB113) | (~v231(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30890, 30889])).
% 50.12/33.13 tff(30892,plain,
% 50.12/33.13 (~v231(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30891, 15391, 30867])).
% 50.12/33.13 tff(30893,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB113) | v231(constB113) | (~v243(constB113)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB113) | v231(constB113) | (~v243(constB113)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30894,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB113) | v231(constB113) | (~v243(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30895,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB113) | v231(constB113) | (~v243(constB113))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30894, 30893])).
% 50.12/33.13 tff(30896,plain,
% 50.12/33.13 (~v243(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30895, 15405, 30892, 30888])).
% 50.12/33.13 tff(30897,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB113) | v255(constB113))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB113) | v255(constB113))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30898,plain,
% 50.12/33.13 ((v255(constB113) | v243(constB113)) <=> (v243(constB113) | v255(constB113))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30899,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB113) | v243(constB113))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB113) | v255(constB113)))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30898])).
% 50.12/33.13 tff(30900,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB113) | v243(constB113))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB113) | v255(constB113))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30899, 30897])).
% 50.12/33.13 tff(30901,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB113) | v243(constB113))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30902,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB113) | v255(constB113)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30901, 30900])).
% 50.12/33.13 tff(30903,plain,
% 50.12/33.13 (v255(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30902, 15416, 30896])).
% 50.12/33.13 tff(30904,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB113)) | (~v216(constB113, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB113)) | (~v216(constB113, 2)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30905,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB113)) | (~v216(constB113, 2)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30906,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB113)) | (~v216(constB113, 2))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30905, 30904])).
% 50.12/33.13 tff(30907,plain,
% 50.12/33.13 (~v216(constB113, 2)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30906, 15433, 30903])).
% 50.12/33.13 tff(30908,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB113)) | v254(constB113) | v216(constB113, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB113)) | v254(constB113) | v216(constB113, 2))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30909,plain,
% 50.12/33.13 ((v216(constB113, 2) | v254(constB113) | (~v215(constB113))) <=> ((~v215(constB113)) | v254(constB113) | v216(constB113, 2))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30910,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB113, 2) | v254(constB113) | (~v215(constB113)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB113)) | v254(constB113) | v216(constB113, 2)))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30909])).
% 50.12/33.13 tff(30911,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB113, 2) | v254(constB113) | (~v215(constB113)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB113)) | v254(constB113) | v216(constB113, 2))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30910, 30908])).
% 50.12/33.13 tff(30912,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB113, 2) | v254(constB113) | (~v215(constB113)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30913,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB113)) | v254(constB113) | v216(constB113, 2)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30912, 30911])).
% 50.12/33.13 tff(30914,plain,
% 50.12/33.13 ((~v215(constB113)) | v254(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30913, 15447, 30907])).
% 50.12/33.13 tff(30915,plain,
% 50.12/33.13 (~v215(constB113)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30914, 30884])).
% 50.12/33.13 tff(30916,plain,
% 50.12/33.13 ($false),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30915, 30673])).
% 50.12/33.13 tff(30917,plain,(~(constB113 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.13 tff(30918,assumption,(constB127 = sK_VarCurr), introduced(assumption)).
% 50.12/33.13 tff(30919,plain,
% 50.12/33.13 (v215(constB127) <=> v215(sK_VarCurr)),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30918])).
% 50.12/33.13 tff(30920,plain,
% 50.12/33.13 (v215(sK_VarCurr) <=> v215(constB127)),
% 50.12/33.13 inference(symmetry,[status(thm)],[30919])).
% 50.12/33.13 tff(30921,plain,
% 50.12/33.13 (v215(constB127)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[34, 30920])).
% 50.12/33.13 tff(30922,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB127, 0)) | v88(constB127, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB127, 0)) | v88(constB127, 0))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30923,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB127, 0)) | v88(constB127, 0))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30924,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB127, 0)) | v88(constB127, 0)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 50.12/33.13 tff(30925,plain,
% 50.12/33.13 (v88(constB127, 0)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30924, 26254, 16148])).
% 50.12/33.13 tff(30926,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB127, 1)) | v88(constB127, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB127, 1)) | v88(constB127, 1))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30927,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB127, 1)) | v88(constB127, 1))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30928,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB127, 1)) | v88(constB127, 1)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 50.12/33.13 tff(30929,plain,
% 50.12/33.13 (v88(constB127, 1)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30928, 15014, 16135])).
% 50.12/33.13 tff(30930,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB127, 2)) | v90(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB127, 2)) | v90(constB127, 2))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30931,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB127, 2)) | v90(constB127, 2))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30932,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB127, 2)) | v90(constB127, 2)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30931, 30930])).
% 50.12/33.13 tff(30933,plain,
% 50.12/33.13 (~v88(constB127, 2)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30932, 26020, 16204])).
% 50.12/33.13 tff(30934,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB127, 0)) | v88(constB127, 2) | (~v88(constB127, 1)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB127, 0)) | v88(constB127, 2) | (~v88(constB127, 1)) | v141(constB127))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30935,plain,
% 50.12/33.13 ((v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127)) <=> ((~v88(constB127, 0)) | v88(constB127, 2) | (~v88(constB127, 1)) | v141(constB127))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30936,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB127, 0)) | v88(constB127, 2) | (~v88(constB127, 1)) | v141(constB127)))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30935])).
% 50.12/33.13 tff(30937,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB127, 0)) | v88(constB127, 2) | (~v88(constB127, 1)) | v141(constB127))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30936, 30934])).
% 50.12/33.13 tff(30938,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30939,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB127, 0)) | v88(constB127, 2) | (~v88(constB127, 1)) | v141(constB127)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30938, 30937])).
% 50.12/33.13 tff(30940,plain,
% 50.12/33.13 ((~v88(constB127, 0)) | (~v88(constB127, 1)) | v141(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30939, 26268, 30933])).
% 50.12/33.13 tff(30941,plain,
% 50.12/33.13 (v141(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30940, 30929, 30925])).
% 50.12/33.13 tff(30942,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB127)) | v199(constB127))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB127)) | v199(constB127))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30943,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB127)) | v199(constB127))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30944,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB127)) | v199(constB127)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30943, 30942])).
% 50.12/33.13 tff(30945,plain,
% 50.12/33.13 (v199(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30944, 26282, 30941])).
% 50.12/33.13 tff(30946,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB127) | (~v199(constB127)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB127) | (~v199(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30947,plain,
% 50.12/33.13 (((~v199(constB127)) | v198(constB127)) <=> (v198(constB127) | (~v199(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30948,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB127)) | v198(constB127))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB127) | (~v199(constB127))))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30947])).
% 50.12/33.13 tff(30949,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB127)) | v198(constB127))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB127) | (~v199(constB127)))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30948, 30946])).
% 50.12/33.13 tff(30950,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB127)) | v198(constB127))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30951,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB127) | (~v199(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30950, 30949])).
% 50.12/33.13 tff(30952,plain,
% 50.12/33.13 (v198(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30951, 26293, 30945])).
% 50.12/33.13 tff(30953,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB127)) | (~v201(constB127)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB127)) | (~v201(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30954,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB127)) | (~v201(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30955,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB127)) | (~v201(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30954, 30953])).
% 50.12/33.13 tff(30956,plain,
% 50.12/33.13 (~v201(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30955, 15064, 30952])).
% 50.12/33.13 tff(30957,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB127) | (~v198(constB127)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB127) | (~v198(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30958,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB127) | (~v198(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30959,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB127) | (~v198(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30958, 30957])).
% 50.12/33.13 tff(30960,plain,
% 50.12/33.13 (v197(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30959, 15078, 30952])).
% 50.12/33.13 tff(30961,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB127) | (~v197(constB127)) | v201(constB127))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB127) | (~v197(constB127)) | v201(constB127))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30962,plain,
% 50.12/33.13 (((~v197(constB127)) | v201(constB127) | v227(constB127)) <=> (v227(constB127) | (~v197(constB127)) | v201(constB127))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30963,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB127)) | v201(constB127) | v227(constB127))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB127) | (~v197(constB127)) | v201(constB127)))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30962])).
% 50.12/33.13 tff(30964,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB127)) | v201(constB127) | v227(constB127))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB127) | (~v197(constB127)) | v201(constB127))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30963, 30961])).
% 50.12/33.13 tff(30965,plain,
% 50.12/33.13 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB127)) | v201(constB127) | v227(constB127))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30966,plain,
% 50.12/33.13 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB127) | (~v197(constB127)) | v201(constB127)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30965, 30964])).
% 50.12/33.13 tff(30967,plain,
% 50.12/33.13 (v227(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30966, 15092, 30960, 30956])).
% 50.12/33.13 tff(30968,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB127)) | (~v223(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB127)) | (~v223(constB127, 0)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30969,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB127)) | (~v223(constB127, 0)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30970,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB127)) | (~v223(constB127, 0))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30969, 30968])).
% 50.12/33.13 tff(30971,plain,
% 50.12/33.13 (~v223(constB127, 0)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30970, 15109, 30967])).
% 50.12/33.13 tff(30972,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB127)) | (~v199(constB127)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB127)) | (~v199(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30973,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB127)) | (~v199(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30974,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB127)) | (~v199(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 50.12/33.13 tff(30975,plain,
% 50.12/33.13 (~v183(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30974, 26326, 30945])).
% 50.12/33.13 tff(30976,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB127) | v183(constB127) | (~v197(constB127)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB127) | v183(constB127) | (~v197(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30977,plain,
% 50.12/33.13 (((~v197(constB127)) | v183(constB127) | v228(constB127)) <=> (v228(constB127) | v183(constB127) | (~v197(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30978,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB127)) | v183(constB127) | v228(constB127))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB127) | v183(constB127) | (~v197(constB127))))),
% 50.12/33.13 inference(monotonicity,[status(thm)],[30977])).
% 50.12/33.13 tff(30979,plain,
% 50.12/33.13 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB127)) | v183(constB127) | v228(constB127))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB127) | v183(constB127) | (~v197(constB127)))),
% 50.12/33.13 inference(transitivity,[status(thm)],[30978, 30976])).
% 50.12/33.13 tff(30980,plain,
% 50.12/33.13 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB127)) | v183(constB127) | v228(constB127))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30981,plain,
% 50.12/33.13 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB127) | v183(constB127) | (~v197(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30980, 30979])).
% 50.12/33.13 tff(30982,plain,
% 50.12/33.13 (v228(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30981, 26340, 30960, 30975])).
% 50.12/33.13 tff(30983,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB127)) | (~v223(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB127)) | (~v223(constB127, 1)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30984,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB127)) | (~v223(constB127, 1)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30985,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB127)) | (~v223(constB127, 1))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30984, 30983])).
% 50.12/33.13 tff(30986,plain,
% 50.12/33.13 (~v223(constB127, 1)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30985, 26357, 30982])).
% 50.12/33.13 tff(30987,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB127, 0) | v223(constB127, 1) | (~v229(constB127)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB127, 0) | v223(constB127, 1) | (~v229(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30988,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB127, 0) | v223(constB127, 1) | (~v229(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30989,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB127, 0) | v223(constB127, 1) | (~v229(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30988, 30987])).
% 50.12/33.13 tff(30990,plain,
% 50.12/33.13 (~v229(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30989, 26371, 30986, 30971])).
% 50.12/33.13 tff(30991,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB127) | (~v225(constB127)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB127) | (~v225(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30992,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB127) | (~v225(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30993,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB127) | (~v225(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30992, 30991])).
% 50.12/33.13 tff(30994,plain,
% 50.12/33.13 (~v225(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30993, 26388, 30990])).
% 50.12/33.13 tff(30995,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB127) | (~v224(constB127)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB127) | (~v224(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(30996,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB127) | (~v224(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(30997,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB127) | (~v224(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[30996, 30995])).
% 50.12/33.13 tff(30998,plain,
% 50.12/33.13 (~v224(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[30997, 26402, 30994])).
% 50.12/33.13 tff(30999,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB127)) | v223(constB127, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB127)) | v223(constB127, 1))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(31000,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB127)) | v223(constB127, 1))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(31001,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB127)) | v223(constB127, 1)),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[31000, 30999])).
% 50.12/33.13 tff(31002,plain,
% 50.12/33.13 (~v222(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[31001, 26413, 30986])).
% 50.12/33.13 tff(31003,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB127) | v224(constB127) | (~v236(constB127)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB127) | v224(constB127) | (~v236(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(31004,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB127) | v224(constB127) | (~v236(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(31005,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB127) | v224(constB127) | (~v236(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[31004, 31003])).
% 50.12/33.13 tff(31006,plain,
% 50.12/33.13 (v224(constB127) | (~v236(constB127))),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[31005, 15241, 31002])).
% 50.12/33.13 tff(31007,plain,
% 50.12/33.13 (~v236(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[31006, 30998])).
% 50.12/33.13 tff(31008,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB127) | (~v232(constB127)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB127) | (~v232(constB127)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(31009,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB127) | (~v232(constB127)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(31010,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB127) | (~v232(constB127))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[31009, 31008])).
% 50.12/33.13 tff(31011,plain,
% 50.12/33.13 (~v232(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[31010, 15255, 31007])).
% 50.12/33.13 tff(31012,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB127)) | (~v88(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB127)) | (~v88(constB127, 0)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(31013,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB127)) | (~v88(constB127, 0)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(31014,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB127)) | (~v88(constB127, 0))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[31013, 31012])).
% 50.12/33.13 tff(31015,plain,
% 50.12/33.13 (~v139(constB127)),
% 50.12/33.13 inference(unit_resolution,[status(thm)],[31014, 26437, 30925])).
% 50.12/33.13 tff(31016,plain,
% 50.12/33.13 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB127)) | (~v88(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB127)) | (~v88(constB127, 1)))),
% 50.12/33.13 inference(rewrite,[status(thm)],[])).
% 50.12/33.13 tff(31017,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB127)) | (~v88(constB127, 1)))),
% 50.12/33.13 inference(quant_inst,[status(thm)],[])).
% 50.12/33.13 tff(31018,plain,
% 50.12/33.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB127)) | (~v88(constB127, 1))),
% 50.12/33.13 inference(modus_ponens,[status(thm)],[31017, 31016])).
% 50.12/33.13 tff(31019,plain,
% 50.12/33.13 (~v140(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31018, 15142, 30929])).
% 50.12/33.14 tff(31020,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB127) | v140(constB127) | (~v148(constB127)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB127) | v140(constB127) | (~v148(constB127)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31021,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB127) | v140(constB127) | (~v148(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31022,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB127) | v140(constB127) | (~v148(constB127))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31021, 31020])).
% 50.12/33.14 tff(31023,plain,
% 50.12/33.14 (~v148(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31022, 15269, 31019, 31015])).
% 50.12/33.14 tff(31024,plain,
% 50.12/33.14 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB127) | v252(constB127) | (~v197(constB127)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB127) | v252(constB127) | (~v197(constB127)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31025,plain,
% 50.12/33.14 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB127) | v252(constB127) | (~v197(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31026,plain,
% 50.12/33.14 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB127) | v252(constB127) | (~v197(constB127))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31025, 31024])).
% 50.12/33.14 tff(31027,plain,
% 50.12/33.14 (v252(constB127) | (~v197(constB127))),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31026, 15283, 31023])).
% 50.12/33.14 tff(31028,plain,
% 50.12/33.14 (v252(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31027, 30960])).
% 50.12/33.14 tff(31029,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB127)) | (~v223(constB127, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB127)) | (~v223(constB127, 3)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31030,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB127)) | (~v223(constB127, 3)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31031,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB127)) | (~v223(constB127, 3))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31030, 31029])).
% 50.12/33.14 tff(31032,plain,
% 50.12/33.14 (~v223(constB127, 3)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31031, 15298, 31028])).
% 50.12/33.14 tff(31033,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB127)) | v223(constB127, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB127)) | v223(constB127, 3))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31034,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB127)) | v223(constB127, 3))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31035,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB127)) | v223(constB127, 3)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31034, 31033])).
% 50.12/33.14 tff(31036,plain,
% 50.12/33.14 (~v237(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31035, 15309, 31032])).
% 50.12/33.14 tff(31037,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB127) | v237(constB127) | (~v248(constB127)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB127) | v237(constB127) | (~v248(constB127)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31038,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB127) | v237(constB127) | (~v248(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31039,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB127) | v237(constB127) | (~v248(constB127))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31038, 31037])).
% 50.12/33.14 tff(31040,plain,
% 50.12/33.14 (v232(constB127) | (~v248(constB127))),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31039, 15323, 31036])).
% 50.12/33.14 tff(31041,plain,
% 50.12/33.14 (~v248(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31040, 31011])).
% 50.12/33.14 tff(31042,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB127) | (~v244(constB127)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB127) | (~v244(constB127)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31043,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB127) | (~v244(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31044,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB127) | (~v244(constB127))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31043, 31042])).
% 50.12/33.14 tff(31045,plain,
% 50.12/33.14 (~v244(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31044, 15338, 31041])).
% 50.12/33.14 tff(31046,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB127) | (~v216(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB127) | (~v216(constB127, 1)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31047,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB127) | (~v216(constB127, 1)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31048,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB127) | (~v216(constB127, 1))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31047, 31046])).
% 50.12/33.14 tff(31049,plain,
% 50.12/33.14 (~v216(constB127, 1)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31048, 15352, 31045])).
% 50.12/33.14 tff(31050,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB127)) | v216(constB127, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB127)) | v216(constB127, 1))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31051,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB127)) | v216(constB127, 1))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31052,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB127)) | v216(constB127, 1)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31051, 31050])).
% 50.12/33.14 tff(31053,plain,
% 50.12/33.14 (~v254(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31052, 15363, 31049])).
% 50.12/33.14 tff(31054,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB127) | (~v231(constB127)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB127) | (~v231(constB127)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31055,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB127) | (~v231(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31056,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB127) | (~v231(constB127))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31055, 31054])).
% 50.12/33.14 tff(31057,plain,
% 50.12/33.14 (~v231(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31056, 15391, 31036])).
% 50.12/33.14 tff(31058,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB127) | (~v221(constB127)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB127) | (~v221(constB127)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31059,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB127) | (~v221(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31060,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB127) | (~v221(constB127))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31059, 31058])).
% 50.12/33.14 tff(31061,plain,
% 50.12/33.14 (~v221(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31060, 26489, 31002])).
% 50.12/33.14 tff(31062,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB127) | v231(constB127) | (~v243(constB127)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB127) | v231(constB127) | (~v243(constB127)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31063,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB127) | v231(constB127) | (~v243(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31064,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB127) | v231(constB127) | (~v243(constB127))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31063, 31062])).
% 50.12/33.14 tff(31065,plain,
% 50.12/33.14 (~v243(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31064, 15405, 31061, 31057])).
% 50.12/33.14 tff(31066,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB127) | v255(constB127))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB127) | v255(constB127))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31067,plain,
% 50.12/33.14 ((v255(constB127) | v243(constB127)) <=> (v243(constB127) | v255(constB127))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31068,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB127) | v243(constB127))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB127) | v255(constB127)))),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31067])).
% 50.12/33.14 tff(31069,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB127) | v243(constB127))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB127) | v255(constB127))),
% 50.12/33.14 inference(transitivity,[status(thm)],[31068, 31066])).
% 50.12/33.14 tff(31070,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB127) | v243(constB127))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31071,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB127) | v255(constB127)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31070, 31069])).
% 50.12/33.14 tff(31072,plain,
% 50.12/33.14 (v255(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31071, 15416, 31065])).
% 50.12/33.14 tff(31073,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB127)) | (~v216(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB127)) | (~v216(constB127, 2)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31074,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB127)) | (~v216(constB127, 2)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31075,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB127)) | (~v216(constB127, 2))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31074, 31073])).
% 50.12/33.14 tff(31076,plain,
% 50.12/33.14 (~v216(constB127, 2)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31075, 15433, 31072])).
% 50.12/33.14 tff(31077,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB127, 2) | (~v215(constB127)) | v254(constB127))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB127, 2) | (~v215(constB127)) | v254(constB127))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31078,plain,
% 50.12/33.14 ((v216(constB127, 2) | v254(constB127) | (~v215(constB127))) <=> (v216(constB127, 2) | (~v215(constB127)) | v254(constB127))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31079,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB127, 2) | v254(constB127) | (~v215(constB127)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB127, 2) | (~v215(constB127)) | v254(constB127)))),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31078])).
% 50.12/33.14 tff(31080,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB127, 2) | v254(constB127) | (~v215(constB127)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB127, 2) | (~v215(constB127)) | v254(constB127))),
% 50.12/33.14 inference(transitivity,[status(thm)],[31079, 31077])).
% 50.12/33.14 tff(31081,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB127, 2) | v254(constB127) | (~v215(constB127)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31082,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB127, 2) | (~v215(constB127)) | v254(constB127)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31081, 31080])).
% 50.12/33.14 tff(31083,plain,
% 50.12/33.14 ((~v215(constB127)) | v254(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31082, 15447, 31076])).
% 50.12/33.14 tff(31084,plain,
% 50.12/33.14 (~v215(constB127)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31083, 31053])).
% 50.12/33.14 tff(31085,plain,
% 50.12/33.14 ($false),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31084, 30921])).
% 50.12/33.14 tff(31086,plain,(~(constB127 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.14 tff(31087,assumption,(constB0 = sK_VarCurr), introduced(assumption)).
% 50.12/33.14 tff(31088,plain,
% 50.12/33.14 (v1(constB0) <=> v1(sK_VarCurr)),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31087])).
% 50.12/33.14 tff(31089,plain,
% 50.12/33.14 (v1(sK_VarCurr) <=> v1(constB0)),
% 50.12/33.14 inference(symmetry,[status(thm)],[31088])).
% 50.12/33.14 tff(31090,plain,
% 50.12/33.14 ((~v1(sK_VarCurr)) <=> (~v1(constB0))),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31089])).
% 50.12/33.14 tff(31091,plain,
% 50.12/33.14 (^[VarCurr: state_type] : refl((v256(VarCurr) | (~v211(VarCurr))) <=> (v256(VarCurr) | (~v211(VarCurr))))),
% 50.12/33.14 inference(bind,[status(th)],[])).
% 50.12/33.14 tff(31092,plain,
% 50.12/33.14 (![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))),
% 50.12/33.14 inference(quant_intro,[status(thm)],[31091])).
% 50.12/33.14 tff(31093,plain,
% 50.12/33.14 (![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31094,plain,
% 50.12/33.14 (^[VarCurr: state_type] : rewrite(((~v211(VarCurr)) | v256(VarCurr)) <=> (v256(VarCurr) | (~v211(VarCurr))))),
% 50.12/33.14 inference(bind,[status(th)],[])).
% 50.12/33.14 tff(31095,plain,
% 50.12/33.14 (![VarCurr: state_type] : ((~v211(VarCurr)) | v256(VarCurr)) <=> ![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))),
% 50.12/33.14 inference(quant_intro,[status(thm)],[31094])).
% 50.12/33.14 tff(31096,axiom,(![VarCurr: state_type] : ((~v211(VarCurr)) | v256(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80_1_1_1_1')).
% 50.12/33.14 tff(31097,plain,
% 50.12/33.14 (![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31096, 31095])).
% 50.12/33.14 tff(31098,plain,
% 50.12/33.14 (![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31097, 31093])).
% 50.12/33.14 tff(31099,plain,(
% 50.12/33.14 ![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))),
% 50.12/33.14 inference(skolemize,[status(sab)],[31098])).
% 50.12/33.14 tff(31100,plain,
% 50.12/33.14 (![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31099, 31092])).
% 50.12/33.14 tff(31101,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))) | (v256(sK_VarCurr) | (~v211(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))) | v256(sK_VarCurr) | (~v211(sK_VarCurr)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31102,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))) | (v256(sK_VarCurr) | (~v211(sK_VarCurr)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31103,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v256(VarCurr) | (~v211(VarCurr)))) | v256(sK_VarCurr) | (~v211(sK_VarCurr))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31102, 31101])).
% 50.12/33.14 tff(31104,plain,
% 50.12/33.14 (v256(sK_VarCurr)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31103, 31100, 20])).
% 50.12/33.14 tff(31105,plain,
% 50.12/33.14 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v256(VarCurr))) <=> ((~v1(VarCurr)) | (~v256(VarCurr))))),
% 50.12/33.14 inference(bind,[status(th)],[])).
% 50.12/33.14 tff(31106,plain,
% 50.12/33.14 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))),
% 50.12/33.14 inference(quant_intro,[status(thm)],[31105])).
% 50.12/33.14 tff(31107,plain,
% 50.12/33.14 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31108,plain,
% 50.12/33.14 (^[VarCurr: state_type] : rewrite(((~v256(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v256(VarCurr))))),
% 50.12/33.14 inference(bind,[status(th)],[])).
% 50.12/33.14 tff(31109,plain,
% 50.12/33.14 (![VarCurr: state_type] : ((~v256(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))),
% 50.12/33.14 inference(quant_intro,[status(thm)],[31108])).
% 50.12/33.14 tff(31110,axiom,(![VarCurr: state_type] : ((~v256(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79_1_1_2')).
% 50.12/33.14 tff(31111,plain,
% 50.12/33.14 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31110, 31109])).
% 50.12/33.14 tff(31112,plain,
% 50.12/33.14 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31111, 31107])).
% 50.12/33.14 tff(31113,plain,(
% 50.12/33.14 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))),
% 50.12/33.14 inference(skolemize,[status(sab)],[31112])).
% 50.12/33.14 tff(31114,plain,
% 50.12/33.14 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31113, 31106])).
% 50.12/33.14 tff(31115,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))) | ((~v1(sK_VarCurr)) | (~v256(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))) | (~v1(sK_VarCurr)) | (~v256(sK_VarCurr)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31116,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))) | ((~v1(sK_VarCurr)) | (~v256(sK_VarCurr)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31117,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v256(VarCurr)))) | (~v1(sK_VarCurr)) | (~v256(sK_VarCurr))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 50.12/33.14 tff(31118,plain,
% 50.12/33.14 (~v1(sK_VarCurr)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31117, 31114, 31104])).
% 50.12/33.14 tff(31119,plain,
% 50.12/33.14 (~v1(constB0)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31118, 31090])).
% 50.12/33.14 tff(31120,plain,
% 50.12/33.14 (v1(constB0) <=> v1(constB0)),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31121,axiom,(v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_201')).
% 50.12/33.14 tff(31122,plain,
% 50.12/33.14 (v1(constB0)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31121, 31120])).
% 50.12/33.14 tff(31123,plain,
% 50.12/33.14 ($false),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31122, 31119])).
% 50.12/33.14 tff(31124,plain,(~(constB0 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.12/33.14 tff(31125,assumption,(constB163 = sK_VarCurr), introduced(assumption)).
% 50.12/33.14 tff(31126,plain,
% 50.12/33.14 (v215(constB163) <=> v215(sK_VarCurr)),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31125])).
% 50.12/33.14 tff(31127,plain,
% 50.12/33.14 (v215(sK_VarCurr) <=> v215(constB163)),
% 50.12/33.14 inference(symmetry,[status(thm)],[31126])).
% 50.12/33.14 tff(31128,plain,
% 50.12/33.14 (v215(constB163)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[34, 31127])).
% 50.12/33.14 tff(31129,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB163, 2)) | v90(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB163, 2)) | v90(constB163, 2))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31130,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB163, 2)) | v90(constB163, 2))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31131,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB163, 2)) | v90(constB163, 2)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31130, 31129])).
% 50.12/33.14 tff(31132,plain,
% 50.12/33.14 (~v88(constB163, 2)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31131, 26020, 20487])).
% 50.12/33.14 tff(31133,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB163, 1)) | v88(constB163, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB163, 1)) | v88(constB163, 1))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31134,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB163, 1)) | v88(constB163, 1))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31135,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB163, 1)) | v88(constB163, 1)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31134, 31133])).
% 50.12/33.14 tff(31136,plain,
% 50.12/33.14 (v88(constB163, 1)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31135, 15014, 20654])).
% 50.12/33.14 tff(31137,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB163, 0)) | v88(constB163, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB163, 0)) | v88(constB163, 0))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31138,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB163, 0)) | v88(constB163, 0))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31139,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB163, 0)) | v88(constB163, 0)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31138, 31137])).
% 50.12/33.14 tff(31140,plain,
% 50.12/33.14 (v88(constB163, 0)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31139, 26254, 20685])).
% 50.12/33.14 tff(31141,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31142,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31143,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 50.12/33.14 tff(31144,plain,
% 50.12/33.14 (v141(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31143, 26268, 31140, 31136, 31132])).
% 50.12/33.14 tff(31145,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB163)) | v199(constB163))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB163)) | v199(constB163))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31146,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB163)) | v199(constB163))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31147,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB163)) | v199(constB163)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31146, 31145])).
% 50.12/33.14 tff(31148,plain,
% 50.12/33.14 (v199(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31147, 26282, 31144])).
% 50.12/33.14 tff(31149,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB163) | (~v199(constB163)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB163) | (~v199(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31150,plain,
% 50.12/33.14 (((~v199(constB163)) | v198(constB163)) <=> (v198(constB163) | (~v199(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31151,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB163)) | v198(constB163))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB163) | (~v199(constB163))))),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31150])).
% 50.12/33.14 tff(31152,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB163)) | v198(constB163))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB163) | (~v199(constB163)))),
% 50.12/33.14 inference(transitivity,[status(thm)],[31151, 31149])).
% 50.12/33.14 tff(31153,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB163)) | v198(constB163))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31154,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB163) | (~v199(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31153, 31152])).
% 50.12/33.14 tff(31155,plain,
% 50.12/33.14 (v198(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31154, 26293, 31148])).
% 50.12/33.14 tff(31156,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB163)) | (~v201(constB163)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB163)) | (~v201(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31157,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB163)) | (~v201(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31158,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB163)) | (~v201(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31157, 31156])).
% 50.12/33.14 tff(31159,plain,
% 50.12/33.14 (~v201(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31158, 15064, 31155])).
% 50.12/33.14 tff(31160,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB163) | (~v198(constB163)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB163) | (~v198(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31161,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB163) | (~v198(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31162,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB163) | (~v198(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31161, 31160])).
% 50.12/33.14 tff(31163,plain,
% 50.12/33.14 (v197(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31162, 15078, 31155])).
% 50.12/33.14 tff(31164,plain,
% 50.12/33.14 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB163) | v201(constB163) | (~v197(constB163)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB163) | v201(constB163) | (~v197(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31165,plain,
% 50.12/33.14 (((~v197(constB163)) | v201(constB163) | v227(constB163)) <=> (v227(constB163) | v201(constB163) | (~v197(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31166,plain,
% 50.12/33.14 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB163)) | v201(constB163) | v227(constB163))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB163) | v201(constB163) | (~v197(constB163))))),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31165])).
% 50.12/33.14 tff(31167,plain,
% 50.12/33.14 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB163)) | v201(constB163) | v227(constB163))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB163) | v201(constB163) | (~v197(constB163)))),
% 50.12/33.14 inference(transitivity,[status(thm)],[31166, 31164])).
% 50.12/33.14 tff(31168,plain,
% 50.12/33.14 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB163)) | v201(constB163) | v227(constB163))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31169,plain,
% 50.12/33.14 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB163) | v201(constB163) | (~v197(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31168, 31167])).
% 50.12/33.14 tff(31170,plain,
% 50.12/33.14 (v227(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31169, 15092, 31163, 31159])).
% 50.12/33.14 tff(31171,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB163)) | (~v223(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB163)) | (~v223(constB163, 0)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31172,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB163)) | (~v223(constB163, 0)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31173,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB163)) | (~v223(constB163, 0))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31172, 31171])).
% 50.12/33.14 tff(31174,plain,
% 50.12/33.14 (~v223(constB163, 0)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31173, 15109, 31170])).
% 50.12/33.14 tff(31175,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB163)) | (~v199(constB163)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB163)) | (~v199(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31176,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB163)) | (~v199(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31177,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB163)) | (~v199(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31176, 31175])).
% 50.12/33.14 tff(31178,plain,
% 50.12/33.14 (~v183(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31177, 26326, 31148])).
% 50.12/33.14 tff(31179,plain,
% 50.12/33.14 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB163) | (~v197(constB163)) | v183(constB163))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB163) | (~v197(constB163)) | v183(constB163))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31180,plain,
% 50.12/33.14 (((~v197(constB163)) | v183(constB163) | v228(constB163)) <=> (v228(constB163) | (~v197(constB163)) | v183(constB163))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31181,plain,
% 50.12/33.14 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB163)) | v183(constB163) | v228(constB163))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB163) | (~v197(constB163)) | v183(constB163)))),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31180])).
% 50.12/33.14 tff(31182,plain,
% 50.12/33.14 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB163)) | v183(constB163) | v228(constB163))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB163) | (~v197(constB163)) | v183(constB163))),
% 50.12/33.14 inference(transitivity,[status(thm)],[31181, 31179])).
% 50.12/33.14 tff(31183,plain,
% 50.12/33.14 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB163)) | v183(constB163) | v228(constB163))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31184,plain,
% 50.12/33.14 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB163) | (~v197(constB163)) | v183(constB163)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31183, 31182])).
% 50.12/33.14 tff(31185,plain,
% 50.12/33.14 (v228(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31184, 26340, 31163, 31178])).
% 50.12/33.14 tff(31186,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB163)) | (~v223(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB163)) | (~v223(constB163, 1)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31187,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB163)) | (~v223(constB163, 1)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31188,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB163)) | (~v223(constB163, 1))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31187, 31186])).
% 50.12/33.14 tff(31189,plain,
% 50.12/33.14 (~v223(constB163, 1)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31188, 26357, 31185])).
% 50.12/33.14 tff(31190,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB163, 1) | (~v229(constB163)) | v223(constB163, 0))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB163, 1) | (~v229(constB163)) | v223(constB163, 0))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31191,plain,
% 50.12/33.14 ((v223(constB163, 0) | v223(constB163, 1) | (~v229(constB163))) <=> (v223(constB163, 1) | (~v229(constB163)) | v223(constB163, 0))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31192,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB163, 0) | v223(constB163, 1) | (~v229(constB163)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB163, 1) | (~v229(constB163)) | v223(constB163, 0)))),
% 50.12/33.14 inference(monotonicity,[status(thm)],[31191])).
% 50.12/33.14 tff(31193,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB163, 0) | v223(constB163, 1) | (~v229(constB163)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB163, 1) | (~v229(constB163)) | v223(constB163, 0))),
% 50.12/33.14 inference(transitivity,[status(thm)],[31192, 31190])).
% 50.12/33.14 tff(31194,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB163, 0) | v223(constB163, 1) | (~v229(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31195,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB163, 1) | (~v229(constB163)) | v223(constB163, 0)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31194, 31193])).
% 50.12/33.14 tff(31196,plain,
% 50.12/33.14 (~v229(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31195, 26371, 31189, 31174])).
% 50.12/33.14 tff(31197,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB163) | (~v225(constB163)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB163) | (~v225(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31198,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB163) | (~v225(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31199,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB163) | (~v225(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31198, 31197])).
% 50.12/33.14 tff(31200,plain,
% 50.12/33.14 (~v225(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31199, 26388, 31196])).
% 50.12/33.14 tff(31201,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB163) | (~v224(constB163)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB163) | (~v224(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31202,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB163) | (~v224(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31203,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB163) | (~v224(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 50.12/33.14 tff(31204,plain,
% 50.12/33.14 (~v224(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31203, 26402, 31200])).
% 50.12/33.14 tff(31205,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB163)) | v223(constB163, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB163)) | v223(constB163, 1))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31206,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB163)) | v223(constB163, 1))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31207,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB163)) | v223(constB163, 1)),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 50.12/33.14 tff(31208,plain,
% 50.12/33.14 (~v222(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31207, 26413, 31189])).
% 50.12/33.14 tff(31209,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB163) | v224(constB163) | (~v236(constB163)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB163) | v224(constB163) | (~v236(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31210,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB163) | v224(constB163) | (~v236(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31211,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB163) | v224(constB163) | (~v236(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31210, 31209])).
% 50.12/33.14 tff(31212,plain,
% 50.12/33.14 (v224(constB163) | (~v236(constB163))),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31211, 15241, 31208])).
% 50.12/33.14 tff(31213,plain,
% 50.12/33.14 (~v236(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31212, 31204])).
% 50.12/33.14 tff(31214,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB163) | (~v232(constB163)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB163) | (~v232(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31215,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB163) | (~v232(constB163)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31216,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB163) | (~v232(constB163))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31215, 31214])).
% 50.12/33.14 tff(31217,plain,
% 50.12/33.14 (~v232(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31216, 15255, 31213])).
% 50.12/33.14 tff(31218,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB163)) | (~v88(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB163)) | (~v88(constB163, 1)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31219,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB163)) | (~v88(constB163, 1)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31220,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB163)) | (~v88(constB163, 1))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31219, 31218])).
% 50.12/33.14 tff(31221,plain,
% 50.12/33.14 (~v140(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31220, 15142, 31136])).
% 50.12/33.14 tff(31222,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB163)) | (~v88(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB163)) | (~v88(constB163, 0)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31223,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB163)) | (~v88(constB163, 0)))),
% 50.12/33.14 inference(quant_inst,[status(thm)],[])).
% 50.12/33.14 tff(31224,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB163)) | (~v88(constB163, 0))),
% 50.12/33.14 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 50.12/33.14 tff(31225,plain,
% 50.12/33.14 (~v139(constB163)),
% 50.12/33.14 inference(unit_resolution,[status(thm)],[31224, 26437, 31140])).
% 50.12/33.14 tff(31226,plain,
% 50.12/33.14 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v148(constB163)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB163) | v140(constB163) | (~v148(constB163)))),
% 50.12/33.14 inference(rewrite,[status(thm)],[])).
% 50.12/33.14 tff(31227,plain,
% 50.12/33.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v148(constB163)))),
% 50.22/33.14 inference(quant_inst,[status(thm)],[])).
% 50.22/33.14 tff(31228,plain,
% 50.22/33.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB163) | v140(constB163) | (~v148(constB163))),
% 50.22/33.14 inference(modus_ponens,[status(thm)],[31227, 31226])).
% 50.22/33.14 tff(31229,plain,
% 50.22/33.14 (~v148(constB163)),
% 50.22/33.14 inference(unit_resolution,[status(thm)],[31228, 15269, 31225, 31221])).
% 50.22/33.14 tff(31230,plain,
% 50.22/33.14 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB163) | v252(constB163) | (~v197(constB163)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB163) | v252(constB163) | (~v197(constB163)))),
% 50.22/33.14 inference(rewrite,[status(thm)],[])).
% 50.22/33.14 tff(31231,plain,
% 50.22/33.14 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB163) | v252(constB163) | (~v197(constB163)))),
% 50.22/33.14 inference(quant_inst,[status(thm)],[])).
% 50.22/33.14 tff(31232,plain,
% 50.22/33.14 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB163) | v252(constB163) | (~v197(constB163))),
% 50.22/33.14 inference(modus_ponens,[status(thm)],[31231, 31230])).
% 50.22/33.14 tff(31233,plain,
% 50.22/33.14 (v252(constB163) | (~v197(constB163))),
% 50.22/33.14 inference(unit_resolution,[status(thm)],[31232, 15283, 31229])).
% 50.22/33.14 tff(31234,plain,
% 50.22/33.14 (v252(constB163)),
% 50.22/33.14 inference(unit_resolution,[status(thm)],[31233, 31163])).
% 50.22/33.14 tff(31235,plain,
% 50.22/33.14 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB163)) | (~v223(constB163, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB163)) | (~v223(constB163, 3)))),
% 50.22/33.14 inference(rewrite,[status(thm)],[])).
% 50.22/33.14 tff(31236,plain,
% 50.22/33.14 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB163)) | (~v223(constB163, 3)))),
% 50.22/33.14 inference(quant_inst,[status(thm)],[])).
% 50.22/33.14 tff(31237,plain,
% 50.22/33.14 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB163)) | (~v223(constB163, 3))),
% 50.22/33.14 inference(modus_ponens,[status(thm)],[31236, 31235])).
% 50.22/33.14 tff(31238,plain,
% 50.22/33.14 (~v223(constB163, 3)),
% 50.22/33.14 inference(unit_resolution,[status(thm)],[31237, 15298, 31234])).
% 50.22/33.14 tff(31239,plain,
% 50.22/33.14 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB163)) | v223(constB163, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB163)) | v223(constB163, 3))),
% 50.22/33.14 inference(rewrite,[status(thm)],[])).
% 50.22/33.14 tff(31240,plain,
% 50.22/33.14 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB163)) | v223(constB163, 3))),
% 50.22/33.14 inference(quant_inst,[status(thm)],[])).
% 50.22/33.14 tff(31241,plain,
% 50.22/33.14 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB163)) | v223(constB163, 3)),
% 50.22/33.14 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 50.22/33.14 tff(31242,plain,
% 50.22/33.14 (~v237(constB163)),
% 50.22/33.14 inference(unit_resolution,[status(thm)],[31241, 15309, 31238])).
% 50.22/33.14 tff(31243,plain,
% 50.22/33.14 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB163) | v237(constB163) | (~v248(constB163)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB163) | v237(constB163) | (~v248(constB163)))),
% 50.22/33.14 inference(rewrite,[status(thm)],[])).
% 50.22/33.14 tff(31244,plain,
% 50.22/33.14 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB163) | v237(constB163) | (~v248(constB163)))),
% 50.22/33.14 inference(quant_inst,[status(thm)],[])).
% 50.22/33.14 tff(31245,plain,
% 50.22/33.14 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB163) | v237(constB163) | (~v248(constB163))),
% 50.22/33.14 inference(modus_ponens,[status(thm)],[31244, 31243])).
% 50.22/33.14 tff(31246,plain,
% 50.22/33.14 (v232(constB163) | (~v248(constB163))),
% 50.22/33.14 inference(unit_resolution,[status(thm)],[31245, 15323, 31242])).
% 50.22/33.14 tff(31247,plain,
% 50.22/33.14 (~v248(constB163)),
% 50.22/33.14 inference(unit_resolution,[status(thm)],[31246, 31217])).
% 50.22/33.14 tff(31248,plain,
% 50.22/33.14 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB163) | (~v244(constB163)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB163) | (~v244(constB163)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31249,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB163) | (~v244(constB163)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31250,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB163) | (~v244(constB163))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 50.22/33.15 tff(31251,plain,
% 50.22/33.15 (~v244(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31250, 15338, 31247])).
% 50.22/33.15 tff(31252,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB163) | (~v216(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB163) | (~v216(constB163, 1)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31253,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB163) | (~v216(constB163, 1)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31254,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB163) | (~v216(constB163, 1))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31253, 31252])).
% 50.22/33.15 tff(31255,plain,
% 50.22/33.15 (~v216(constB163, 1)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31254, 15352, 31251])).
% 50.22/33.15 tff(31256,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB163)) | v216(constB163, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB163)) | v216(constB163, 1))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31257,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB163)) | v216(constB163, 1))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31258,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB163)) | v216(constB163, 1)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31257, 31256])).
% 50.22/33.15 tff(31259,plain,
% 50.22/33.15 (~v254(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31258, 15363, 31255])).
% 50.22/33.15 tff(31260,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB163) | (~v231(constB163)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB163) | (~v231(constB163)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31261,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB163) | (~v231(constB163)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31262,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB163) | (~v231(constB163))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 50.22/33.15 tff(31263,plain,
% 50.22/33.15 (~v231(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31262, 15391, 31242])).
% 50.22/33.15 tff(31264,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB163) | (~v221(constB163)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB163) | (~v221(constB163)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31265,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB163) | (~v221(constB163)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31266,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB163) | (~v221(constB163))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31265, 31264])).
% 50.22/33.15 tff(31267,plain,
% 50.22/33.15 (~v221(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31266, 26489, 31208])).
% 50.22/33.15 tff(31268,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB163) | v231(constB163) | (~v243(constB163)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB163) | v231(constB163) | (~v243(constB163)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31269,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB163) | v231(constB163) | (~v243(constB163)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31270,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB163) | v231(constB163) | (~v243(constB163))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31269, 31268])).
% 50.22/33.15 tff(31271,plain,
% 50.22/33.15 (~v243(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31270, 15405, 31267, 31263])).
% 50.22/33.15 tff(31272,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB163) | v255(constB163))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB163) | v255(constB163))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31273,plain,
% 50.22/33.15 ((v255(constB163) | v243(constB163)) <=> (v243(constB163) | v255(constB163))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31274,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB163) | v243(constB163))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB163) | v255(constB163)))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31273])).
% 50.22/33.15 tff(31275,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB163) | v243(constB163))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB163) | v255(constB163))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31274, 31272])).
% 50.22/33.15 tff(31276,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB163) | v243(constB163))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31277,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB163) | v255(constB163)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 50.22/33.15 tff(31278,plain,
% 50.22/33.15 (v255(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31277, 15416, 31271])).
% 50.22/33.15 tff(31279,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB163)) | (~v216(constB163, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB163)) | (~v216(constB163, 2)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31280,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB163)) | (~v216(constB163, 2)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31281,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB163)) | (~v216(constB163, 2))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31280, 31279])).
% 50.22/33.15 tff(31282,plain,
% 50.22/33.15 (~v216(constB163, 2)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31281, 15433, 31278])).
% 50.22/33.15 tff(31283,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB163)) | v216(constB163, 2) | v254(constB163))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB163)) | v216(constB163, 2) | v254(constB163))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31284,plain,
% 50.22/33.15 ((v216(constB163, 2) | v254(constB163) | (~v215(constB163))) <=> ((~v215(constB163)) | v216(constB163, 2) | v254(constB163))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31285,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB163, 2) | v254(constB163) | (~v215(constB163)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB163)) | v216(constB163, 2) | v254(constB163)))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31284])).
% 50.22/33.15 tff(31286,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB163, 2) | v254(constB163) | (~v215(constB163)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB163)) | v216(constB163, 2) | v254(constB163))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31285, 31283])).
% 50.22/33.15 tff(31287,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB163, 2) | v254(constB163) | (~v215(constB163)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31288,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB163)) | v216(constB163, 2) | v254(constB163)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31287, 31286])).
% 50.22/33.15 tff(31289,plain,
% 50.22/33.15 ((~v215(constB163)) | v254(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31288, 15447, 31282])).
% 50.22/33.15 tff(31290,plain,
% 50.22/33.15 (~v215(constB163)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31289, 31259])).
% 50.22/33.15 tff(31291,plain,
% 50.22/33.15 ($false),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31290, 31128])).
% 50.22/33.15 tff(31292,plain,(~(constB163 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.22/33.15 tff(31293,assumption,(constB197 = sK_VarCurr), introduced(assumption)).
% 50.22/33.15 tff(31294,plain,
% 50.22/33.15 (v215(constB197) <=> v215(sK_VarCurr)),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31293])).
% 50.22/33.15 tff(31295,plain,
% 50.22/33.15 (v215(sK_VarCurr) <=> v215(constB197)),
% 50.22/33.15 inference(symmetry,[status(thm)],[31294])).
% 50.22/33.15 tff(31296,plain,
% 50.22/33.15 (v215(constB197)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[34, 31295])).
% 50.22/33.15 tff(31297,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31298,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31299,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31298, 31297])).
% 50.22/33.15 tff(31300,plain,
% 50.22/33.15 (v125(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31299, 1953, 23617, 23687, 23652])).
% 50.22/33.15 tff(31301,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB193) | (~v125(constB193)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v125(constB193)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31302,plain,
% 50.22/33.15 (((~v125(constB193)) | v113(constB193)) <=> (v113(constB193) | (~v125(constB193)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31303,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB193)) | v113(constB193))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB193) | (~v125(constB193))))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31302])).
% 50.22/33.15 tff(31304,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB193)) | v113(constB193))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v125(constB193)))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31303, 31301])).
% 50.22/33.15 tff(31305,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB193)) | v113(constB193))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31306,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v125(constB193))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31305, 31304])).
% 50.22/33.15 tff(31307,plain,
% 50.22/33.15 (v113(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31306, 1964, 31300])).
% 50.22/33.15 tff(31308,assumption,(v26(constB193)), introduced(assumption)).
% 50.22/33.15 tff(31309,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB193))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31310,plain,
% 50.22/33.15 ($false),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31309, 43, 31308])).
% 50.22/33.15 tff(31311,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 50.22/33.15 tff(31312,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | v112(constB193) | (~v113(constB193)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31313,plain,
% 50.22/33.15 ((v26(constB193) | (~v113(constB193)) | v112(constB193)) <=> (v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31314,plain,
% 50.22/33.15 (((~![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) | v112(constB193) | (~v113(constB193))))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31313])).
% 50.22/33.15 tff(31315,plain,
% 50.22/33.15 (((~![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) | v112(constB193) | (~v113(constB193)))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31314, 31312])).
% 50.22/33.15 tff(31316,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31317,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31316, 31315])).
% 50.22/33.15 tff(31318,plain,
% 50.22/33.15 (v112(constB193) | (~v113(constB193))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31317, 280, 31311])).
% 50.22/33.15 tff(31319,plain,
% 50.22/33.15 (v112(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31318, 31307])).
% 50.22/33.15 tff(31320,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31321,plain,
% 50.22/33.15 (((~v112(constB193)) | v108(constB193)) <=> (v108(constB193) | (~v112(constB193)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31322,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193))))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31321])).
% 50.22/33.15 tff(31323,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31322, 31320])).
% 50.22/33.15 tff(31324,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31325,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31324, 31323])).
% 50.22/33.15 tff(31326,plain,
% 50.22/33.15 (v108(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31325, 292, 31319])).
% 50.22/33.15 tff(31327,plain,
% 50.22/33.15 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31328,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 50.22/33.15 tff(31329,plain,
% 50.22/33.15 (nextState(constB193, constB194)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 50.22/33.15 tff(31330,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31331,plain,
% 50.22/33.15 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31332,plain,
% 50.22/33.15 (((~![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))))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31331])).
% 50.22/33.15 tff(31333,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31332, 31330])).
% 50.22/33.15 tff(31334,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31335,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31334, 31333])).
% 50.22/33.15 tff(31336,plain,
% 50.22/33.15 (v110(constB194) | (~v108(constB193))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31335, 312, 31329])).
% 50.22/33.15 tff(31337,plain,
% 50.22/33.15 (v110(constB194)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31336, 31326])).
% 50.22/33.15 tff(31338,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31339,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31340,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31339, 31338])).
% 50.22/33.15 tff(31341,plain,
% 50.22/33.15 (~v104(constB194)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31340, 330, 31329, 23593])).
% 50.22/33.15 tff(31342,plain,
% 50.22/33.15 (((~![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)) | v102(constB194) | v104(constB194))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31343,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31344,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31343, 31342])).
% 50.22/33.15 tff(31345,plain,
% 50.22/33.15 (v102(constB194) | v104(constB194)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31344, 344, 31329])).
% 50.22/33.15 tff(31346,plain,
% 50.22/33.15 (v102(constB194)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31345, 31341])).
% 50.22/33.15 tff(31347,plain,
% 50.22/33.15 (v1(constB194) <=> v1(constB194)),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31348,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 50.22/33.15 tff(31349,plain,
% 50.22/33.15 (v1(constB194)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31348, 31347])).
% 50.22/33.15 tff(31350,plain,
% 50.22/33.15 (((~![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)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31351,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31352,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31351, 31350])).
% 50.22/33.15 tff(31353,plain,
% 50.22/33.15 (v101(constB194) | (~v102(constB194))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31352, 362, 31329, 31349])).
% 50.22/33.15 tff(31354,plain,
% 50.22/33.15 (v101(constB194)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31353, 31346])).
% 50.22/33.15 tff(31355,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31356,plain,
% 50.22/33.15 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31357,plain,
% 50.22/33.15 (((~![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))))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31356])).
% 50.22/33.15 tff(31358,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31357, 31355])).
% 50.22/33.15 tff(31359,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31360,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31359, 31358])).
% 50.22/33.15 tff(31361,plain,
% 50.22/33.15 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31360, 377, 31329])).
% 50.22/33.15 tff(31362,plain,
% 50.22/33.15 (v100(constB194) | (~v110(constB194))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31361, 31354])).
% 50.22/33.15 tff(31363,plain,
% 50.22/33.15 (v100(constB194)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31362, 31337])).
% 50.22/33.15 tff(31364,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31365,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31366,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB193)) | (~v90(constB193, 1))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31365, 31364])).
% 50.22/33.15 tff(31367,plain,
% 50.22/33.15 (~v119(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31366, 2050, 23687])).
% 50.22/33.15 tff(31368,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31369,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31370,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB193)) | (~v90(constB193, 1))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31369, 31368])).
% 50.22/33.15 tff(31371,plain,
% 50.22/33.15 (~v124(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31370, 2083, 23687])).
% 50.22/33.15 tff(31372,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31373,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31374,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB193)) | (~v90(constB193, 1))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31373, 31372])).
% 50.22/33.15 tff(31375,plain,
% 50.22/33.15 (~v123(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31374, 2072, 23687])).
% 50.22/33.15 tff(31376,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB193)) | (~v90(constB193, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB193)) | (~v90(constB193, 2)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31377,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB193)) | (~v90(constB193, 2)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31378,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB193)) | (~v90(constB193, 2))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 50.22/33.15 tff(31379,plain,
% 50.22/33.15 (~v122(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31378, 2039, 23652])).
% 50.22/33.15 tff(31380,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB193)) | (~v90(constB193, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB193)) | (~v90(constB193, 2)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31381,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB193)) | (~v90(constB193, 2)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31382,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB193)) | (~v90(constB193, 2))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 50.22/33.15 tff(31383,plain,
% 50.22/33.15 (~v121(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31382, 2028, 23652])).
% 50.22/33.15 tff(31384,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31385,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB193)) | (~v90(constB193, 1)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31386,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB193)) | (~v90(constB193, 1))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31385, 31384])).
% 50.22/33.15 tff(31387,plain,
% 50.22/33.15 (~v120(constB193)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31386, 2061, 23687])).
% 50.22/33.15 tff(31388,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31389,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31390,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31389, 31388])).
% 50.22/33.15 tff(31391,plain,
% 50.22/33.15 (~v130(constB193, 2)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31390, 2097, 31387, 31383, 31379, 31375, 31371, 31367])).
% 50.22/33.15 tff(31392,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31393,plain,
% 50.22/33.15 ((v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2))) <=> ((~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31394,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2)))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31393])).
% 50.22/33.15 tff(31395,plain,
% 50.22/33.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31394, 31392])).
% 50.22/33.15 tff(31396,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31397,plain,
% 50.22/33.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31396, 31395])).
% 50.22/33.15 tff(31398,plain,
% 50.22/33.15 ((~v127(constB193, 2)) | v130(constB193, 2)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31397, 593, 31311])).
% 50.22/33.15 tff(31399,plain,
% 50.22/33.15 (~v127(constB193, 2)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31398, 31391])).
% 50.22/33.15 tff(31400,plain,
% 50.22/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31401,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31402,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31401, 31400])).
% 50.22/33.15 tff(31403,plain,
% 50.22/33.15 (v127(constB193, 2) | (~v129(constB194, 2))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31402, 611, 31329])).
% 50.22/33.15 tff(31404,plain,
% 50.22/33.15 (~v129(constB194, 2)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31403, 31399])).
% 50.22/33.15 tff(31405,plain,
% 50.22/33.15 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31406,plain,
% 50.22/33.15 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31407,plain,
% 50.22/33.15 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31406, 31405])).
% 50.22/33.15 tff(31408,plain,
% 50.22/33.15 ((~v90(constB194, 2)) | (~v100(constB194))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31407, 626, 31404])).
% 50.22/33.15 tff(31409,plain,
% 50.22/33.15 (~v90(constB194, 2)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31408, 31363])).
% 50.22/33.15 tff(31410,plain,
% 50.22/33.15 ((~v1(constB195)) <=> (~v1(constB195))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31411,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 50.22/33.15 tff(31412,plain,
% 50.22/33.15 (~v1(constB195)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31411, 31410])).
% 50.22/33.15 tff(31413,plain,
% 50.22/33.15 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31414,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 50.22/33.15 tff(31415,plain,
% 50.22/33.15 (nextState(constB194, constB195)),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31414, 31413])).
% 50.22/33.15 tff(31416,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31417,plain,
% 50.22/33.15 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31418,plain,
% 50.22/33.15 (((~![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))))),
% 50.22/33.15 inference(monotonicity,[status(thm)],[31417])).
% 50.22/33.15 tff(31419,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(transitivity,[status(thm)],[31418, 31416])).
% 50.22/33.15 tff(31420,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31421,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31420, 31419])).
% 50.22/33.15 tff(31422,plain,
% 50.22/33.15 (~v101(constB195)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31421, 90, 31415, 31412])).
% 50.22/33.15 tff(31423,plain,
% 50.22/33.15 (((~![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)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31424,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 50.22/33.15 inference(quant_inst,[status(thm)],[])).
% 50.22/33.15 tff(31425,plain,
% 50.22/33.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 50.22/33.15 inference(modus_ponens,[status(thm)],[31424, 31423])).
% 50.22/33.15 tff(31426,plain,
% 50.22/33.15 (v101(constB195) | (~v100(constB195))),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31425, 107, 31415])).
% 50.22/33.15 tff(31427,plain,
% 50.22/33.15 (~v100(constB195)),
% 50.22/33.15 inference(unit_resolution,[status(thm)],[31426, 31422])).
% 50.22/33.15 tff(31428,plain,
% 50.22/33.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.15 tff(31429,plain,
% 50.22/33.15 (((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2))) <=> (v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))),
% 50.22/33.15 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31430,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31429])).
% 50.22/33.16 tff(31431,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31430, 31428])).
% 50.22/33.16 tff(31432,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31433,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 50.22/33.16 tff(31434,plain,
% 50.22/33.16 (v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31433, 122, 31415])).
% 50.22/33.16 tff(31435,plain,
% 50.22/33.16 (v90(constB194, 2) | (~v90(constB195, 2))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31434, 31427])).
% 50.22/33.16 tff(31436,plain,
% 50.22/33.16 (~v90(constB195, 2)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31435, 31409])).
% 50.22/33.16 tff(31437,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31438,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31439,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 50.22/33.16 tff(31440,plain,
% 50.22/33.16 (~v130(constB193, 1)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31439, 2156, 31387, 31383, 31379, 31375, 31371, 31367])).
% 50.22/33.16 tff(31441,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31442,plain,
% 50.22/33.16 ((v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1))) <=> ((~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31443,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1)))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31442])).
% 50.22/33.16 tff(31444,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31443, 31441])).
% 50.22/33.16 tff(31445,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31446,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31445, 31444])).
% 50.22/33.16 tff(31447,plain,
% 50.22/33.16 ((~v127(constB193, 1)) | v130(constB193, 1)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31446, 408, 31311])).
% 50.22/33.16 tff(31448,plain,
% 50.22/33.16 (~v127(constB193, 1)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31447, 31440])).
% 50.22/33.16 tff(31449,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31450,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31451,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31450, 31449])).
% 50.22/33.16 tff(31452,plain,
% 50.22/33.16 (v127(constB193, 1) | (~v129(constB194, 1))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31451, 438, 31329])).
% 50.22/33.16 tff(31453,plain,
% 50.22/33.16 (~v129(constB194, 1)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31452, 31448])).
% 50.22/33.16 tff(31454,plain,
% 50.22/33.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31455,plain,
% 50.22/33.16 (((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1)) <=> ((~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31456,plain,
% 50.22/33.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31455])).
% 50.22/33.16 tff(31457,plain,
% 50.22/33.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31456, 31454])).
% 50.22/33.16 tff(31458,plain,
% 50.22/33.16 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31459,plain,
% 50.22/33.16 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31458, 31457])).
% 50.22/33.16 tff(31460,plain,
% 50.22/33.16 ((~v90(constB194, 1)) | (~v100(constB194))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31459, 453, 31453])).
% 50.22/33.16 tff(31461,plain,
% 50.22/33.16 (~v90(constB194, 1)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31460, 31363])).
% 50.22/33.16 tff(31462,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31463,plain,
% 50.22/33.16 (((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1))) <=> (v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31464,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31463])).
% 50.22/33.16 tff(31465,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31464, 31462])).
% 50.22/33.16 tff(31466,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31467,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31466, 31465])).
% 50.22/33.16 tff(31468,plain,
% 50.22/33.16 (v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31467, 143, 31415])).
% 50.22/33.16 tff(31469,plain,
% 50.22/33.16 (v90(constB194, 1) | (~v90(constB195, 1))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31468, 31427])).
% 50.22/33.16 tff(31470,plain,
% 50.22/33.16 (~v90(constB195, 1)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31469, 31461])).
% 50.22/33.16 tff(31471,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31472,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31473,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31472, 31471])).
% 50.22/33.16 tff(31474,plain,
% 50.22/33.16 (v130(constB193, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31473, 2200, 31387, 31383, 31379, 31375, 31371, 31367])).
% 50.22/33.16 tff(31475,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31476,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31477,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31476, 31475])).
% 50.22/33.16 tff(31478,plain,
% 50.22/33.16 ((~v130(constB193, 0)) | v127(constB193, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31477, 515, 31311])).
% 50.22/33.16 tff(31479,plain,
% 50.22/33.16 (v127(constB193, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31478, 31474])).
% 50.22/33.16 tff(31480,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31481,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31482,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31481, 31480])).
% 50.22/33.16 tff(31483,plain,
% 50.22/33.16 ((~v127(constB193, 0)) | v129(constB194, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31482, 530, 31329])).
% 50.22/33.16 tff(31484,plain,
% 50.22/33.16 (v129(constB194, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31483, 31479])).
% 50.22/33.16 tff(31485,plain,
% 50.22/33.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31486,plain,
% 50.22/33.16 ((v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0))) <=> (v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31487,plain,
% 50.22/33.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31486])).
% 50.22/33.16 tff(31488,plain,
% 50.22/33.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31487, 31485])).
% 50.22/33.16 tff(31489,plain,
% 50.22/33.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31490,plain,
% 50.22/33.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31489, 31488])).
% 50.22/33.16 tff(31491,plain,
% 50.22/33.16 (v90(constB194, 0) | (~v100(constB194))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31490, 545, 31484])).
% 50.22/33.16 tff(31492,plain,
% 50.22/33.16 (v90(constB194, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31491, 31363])).
% 50.22/33.16 tff(31493,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31494,plain,
% 50.22/33.16 (((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0)) <=> ((~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31495,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0)))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31494])).
% 50.22/33.16 tff(31496,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31495, 31493])).
% 50.22/33.16 tff(31497,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31498,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31497, 31496])).
% 50.22/33.16 tff(31499,plain,
% 50.22/33.16 ((~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31498, 563, 31415])).
% 50.22/33.16 tff(31500,plain,
% 50.22/33.16 ((~v90(constB194, 0)) | v90(constB195, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31499, 31427])).
% 50.22/33.16 tff(31501,plain,
% 50.22/33.16 (v90(constB195, 0)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31500, 31492])).
% 50.22/33.16 tff(31502,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31503,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31504,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31503, 31502])).
% 50.22/33.16 tff(31505,plain,
% 50.22/33.16 (v120(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31504, 651, 31501, 31470, 31436])).
% 50.22/33.16 tff(31506,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB195) | (~v120(constB195)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB195) | (~v120(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31507,plain,
% 50.22/33.16 (((~v120(constB195)) | v118(constB195)) <=> (v118(constB195) | (~v120(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31508,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB195)) | v118(constB195))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB195) | (~v120(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31507])).
% 50.22/33.16 tff(31509,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB195)) | v118(constB195))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB195) | (~v120(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31508, 31506])).
% 50.22/33.16 tff(31510,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB195)) | v118(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31511,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB195) | (~v120(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31510, 31509])).
% 50.22/33.16 tff(31512,plain,
% 50.22/33.16 (v118(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31511, 665, 31505])).
% 50.22/33.16 tff(31513,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB195) | (~v118(constB195)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB195) | (~v118(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31514,plain,
% 50.22/33.16 (((~v118(constB195)) | v117(constB195)) <=> (v117(constB195) | (~v118(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31515,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB195)) | v117(constB195))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB195) | (~v118(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31514])).
% 50.22/33.16 tff(31516,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB195)) | v117(constB195))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB195) | (~v118(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31515, 31513])).
% 50.22/33.16 tff(31517,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB195)) | v117(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31518,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB195) | (~v118(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31517, 31516])).
% 50.22/33.16 tff(31519,plain,
% 50.22/33.16 (v117(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31518, 210, 31512])).
% 50.22/33.16 tff(31520,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB195) | (~v117(constB195)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB195) | (~v117(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31521,plain,
% 50.22/33.16 (((~v117(constB195)) | v116(constB195)) <=> (v116(constB195) | (~v117(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31522,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB195)) | v116(constB195))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB195) | (~v117(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31521])).
% 50.22/33.16 tff(31523,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB195)) | v116(constB195))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB195) | (~v117(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31522, 31520])).
% 50.22/33.16 tff(31524,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB195)) | v116(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31525,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB195) | (~v117(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31524, 31523])).
% 50.22/33.16 tff(31526,plain,
% 50.22/33.16 (v116(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31525, 224, 31519])).
% 50.22/33.16 tff(31527,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB195) | (~v116(constB195)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB195) | (~v116(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31528,plain,
% 50.22/33.16 (((~v116(constB195)) | v115(constB195)) <=> (v115(constB195) | (~v116(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31529,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB195)) | v115(constB195))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB195) | (~v116(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31528])).
% 50.22/33.16 tff(31530,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB195)) | v115(constB195))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB195) | (~v116(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31529, 31527])).
% 50.22/33.16 tff(31531,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB195)) | v115(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31532,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB195) | (~v116(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31531, 31530])).
% 50.22/33.16 tff(31533,plain,
% 50.22/33.16 (v115(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31532, 238, 31526])).
% 50.22/33.16 tff(31534,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB195) | (~v115(constB195)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB195) | (~v115(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31535,plain,
% 50.22/33.16 (((~v115(constB195)) | v114(constB195)) <=> (v114(constB195) | (~v115(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31536,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB195)) | v114(constB195))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB195) | (~v115(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31535])).
% 50.22/33.16 tff(31537,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB195)) | v114(constB195))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB195) | (~v115(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31536, 31534])).
% 50.22/33.16 tff(31538,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB195)) | v114(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31539,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB195) | (~v115(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31538, 31537])).
% 50.22/33.16 tff(31540,plain,
% 50.22/33.16 (v114(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31539, 252, 31533])).
% 50.22/33.16 tff(31541,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB195) | (~v114(constB195)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v114(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31542,plain,
% 50.22/33.16 (((~v114(constB195)) | v113(constB195)) <=> (v113(constB195) | (~v114(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31543,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB195)) | v113(constB195))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB195) | (~v114(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31542])).
% 50.22/33.16 tff(31544,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB195)) | v113(constB195))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v114(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31543, 31541])).
% 50.22/33.16 tff(31545,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB195)) | v113(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31546,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v114(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31545, 31544])).
% 50.22/33.16 tff(31547,plain,
% 50.22/33.16 (v113(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31546, 266, 31540])).
% 50.22/33.16 tff(31548,assumption,(v26(constB195)), introduced(assumption)).
% 50.22/33.16 tff(31549,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31550,plain,
% 50.22/33.16 ($false),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31549, 43, 31548])).
% 50.22/33.16 tff(31551,plain,(~v26(constB195)), inference(lemma,lemma(discharge,[]))).
% 50.22/33.16 tff(31552,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31553,plain,
% 50.22/33.16 ((v26(constB195) | (~v113(constB195)) | v112(constB195)) <=> (v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31554,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31553])).
% 50.22/33.16 tff(31555,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31554, 31552])).
% 50.22/33.16 tff(31556,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31557,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31556, 31555])).
% 50.22/33.16 tff(31558,plain,
% 50.22/33.16 (v112(constB195) | (~v113(constB195))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31557, 280, 31551])).
% 50.22/33.16 tff(31559,plain,
% 50.22/33.16 (v112(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31558, 31547])).
% 50.22/33.16 tff(31560,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v112(constB195)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31561,plain,
% 50.22/33.16 (((~v112(constB195)) | v108(constB195)) <=> (v108(constB195) | (~v112(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31562,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v112(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31561])).
% 50.22/33.16 tff(31563,plain,
% 50.22/33.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31562, 31560])).
% 50.22/33.16 tff(31564,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31565,plain,
% 50.22/33.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 50.22/33.16 tff(31566,plain,
% 50.22/33.16 (v108(constB195)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31565, 292, 31559])).
% 50.22/33.16 tff(31567,plain,
% 50.22/33.16 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31568,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 50.22/33.16 tff(31569,plain,
% 50.22/33.16 (nextState(constB195, constB196)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 50.22/33.16 tff(31570,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31571,plain,
% 50.22/33.16 (((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196)) <=> ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31572,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))))),
% 50.22/33.16 inference(monotonicity,[status(thm)],[31571])).
% 50.22/33.16 tff(31573,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 50.22/33.16 inference(transitivity,[status(thm)],[31572, 31570])).
% 50.22/33.16 tff(31574,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31575,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31574, 31573])).
% 50.22/33.16 tff(31576,plain,
% 50.22/33.16 (v110(constB196) | (~v108(constB195))),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31575, 312, 31569])).
% 50.22/33.16 tff(31577,plain,
% 50.22/33.16 (v110(constB196)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31576, 31566])).
% 50.22/33.16 tff(31578,plain,
% 50.22/33.16 (((~![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)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31579,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31580,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196))),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31579, 31578])).
% 50.22/33.16 tff(31581,plain,
% 50.22/33.16 (~v104(constB196)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31580, 330, 31569, 31412])).
% 50.22/33.16 tff(31582,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31583,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31584,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31583, 31582])).
% 50.22/33.16 tff(31585,plain,
% 50.22/33.16 (v102(constB196) | v104(constB196)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31584, 344, 31569])).
% 50.22/33.16 tff(31586,plain,
% 50.22/33.16 (v102(constB196)),
% 50.22/33.16 inference(unit_resolution,[status(thm)],[31585, 31581])).
% 50.22/33.16 tff(31587,plain,
% 50.22/33.16 (v1(constB196) <=> v1(constB196)),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31588,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 50.22/33.16 tff(31589,plain,
% 50.22/33.16 (v1(constB196)),
% 50.22/33.16 inference(modus_ponens,[status(thm)],[31588, 31587])).
% 50.22/33.16 tff(31590,plain,
% 50.22/33.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 50.22/33.16 inference(rewrite,[status(thm)],[])).
% 50.22/33.16 tff(31591,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 50.22/33.16 inference(quant_inst,[status(thm)],[])).
% 50.22/33.16 tff(31592,plain,
% 50.22/33.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31591, 31590])).
% 50.22/33.17 tff(31593,plain,
% 50.22/33.17 (v101(constB196) | (~v102(constB196))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31592, 362, 31569, 31589])).
% 50.22/33.17 tff(31594,plain,
% 50.22/33.17 (v101(constB196)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31593, 31586])).
% 50.22/33.17 tff(31595,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31596,plain,
% 50.22/33.17 (((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196)) <=> ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31597,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31596])).
% 50.22/33.17 tff(31598,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31597, 31595])).
% 50.22/33.17 tff(31599,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31600,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31599, 31598])).
% 50.22/33.17 tff(31601,plain,
% 50.22/33.17 (v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31600, 377, 31569])).
% 50.22/33.17 tff(31602,plain,
% 50.22/33.17 (v100(constB196) | (~v110(constB196))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31601, 31594])).
% 50.22/33.17 tff(31603,plain,
% 50.22/33.17 (v100(constB196)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31602, 31577])).
% 50.22/33.17 tff(31604,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB195)) | (~v130(constB195, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB195)) | (~v130(constB195, 2)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31605,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB195)) | (~v130(constB195, 2)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31606,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB195)) | (~v130(constB195, 2))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31605, 31604])).
% 50.22/33.17 tff(31607,plain,
% 50.22/33.17 (~v130(constB195, 2)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31606, 767, 31505])).
% 50.22/33.17 tff(31608,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31609,plain,
% 50.22/33.17 ((v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2))) <=> ((~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31610,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2)))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31609])).
% 50.22/33.17 tff(31611,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31610, 31608])).
% 50.22/33.17 tff(31612,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31613,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 50.22/33.17 tff(31614,plain,
% 50.22/33.17 ((~v127(constB195, 2)) | v130(constB195, 2)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31613, 593, 31551])).
% 50.22/33.17 tff(31615,plain,
% 50.22/33.17 (~v127(constB195, 2)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31614, 31607])).
% 50.22/33.17 tff(31616,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31617,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31618,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31617, 31616])).
% 50.22/33.17 tff(31619,plain,
% 50.22/33.17 (v127(constB195, 2) | (~v129(constB196, 2))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31618, 611, 31569])).
% 50.22/33.17 tff(31620,plain,
% 50.22/33.17 (~v129(constB196, 2)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31619, 31615])).
% 50.22/33.17 tff(31621,plain,
% 50.22/33.17 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31622,plain,
% 50.22/33.17 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31623,plain,
% 50.22/33.17 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31622, 31621])).
% 50.22/33.17 tff(31624,plain,
% 50.22/33.17 ((~v90(constB196, 2)) | (~v100(constB196))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31623, 626, 31620])).
% 50.22/33.17 tff(31625,plain,
% 50.22/33.17 (~v90(constB196, 2)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31624, 31603])).
% 50.22/33.17 tff(31626,plain,
% 50.22/33.17 ((~v1(constB197)) <=> (~v1(constB197))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31627,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 50.22/33.17 tff(31628,plain,
% 50.22/33.17 (~v1(constB197)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31627, 31626])).
% 50.22/33.17 tff(31629,plain,
% 50.22/33.17 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31630,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 50.22/33.17 tff(31631,plain,
% 50.22/33.17 (nextState(constB196, constB197)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31630, 31629])).
% 50.22/33.17 tff(31632,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31633,plain,
% 50.22/33.17 (((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197)) <=> (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31634,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31633])).
% 50.22/33.17 tff(31635,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31634, 31632])).
% 50.22/33.17 tff(31636,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31637,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31636, 31635])).
% 50.22/33.17 tff(31638,plain,
% 50.22/33.17 (~v101(constB197)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31637, 90, 31631, 31628])).
% 50.22/33.17 tff(31639,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31640,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31641,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31640, 31639])).
% 50.22/33.17 tff(31642,plain,
% 50.22/33.17 (v101(constB197) | (~v100(constB197))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31641, 107, 31631])).
% 50.22/33.17 tff(31643,plain,
% 50.22/33.17 (~v100(constB197)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31642, 31638])).
% 50.22/33.17 tff(31644,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31645,plain,
% 50.22/33.17 (((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2))) <=> (v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31646,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2))))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31645])).
% 50.22/33.17 tff(31647,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31646, 31644])).
% 50.22/33.17 tff(31648,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31649,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31648, 31647])).
% 50.22/33.17 tff(31650,plain,
% 50.22/33.17 (v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31649, 122, 31631])).
% 50.22/33.17 tff(31651,plain,
% 50.22/33.17 (v90(constB196, 2) | (~v90(constB197, 2))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31650, 31643])).
% 50.22/33.17 tff(31652,plain,
% 50.22/33.17 (~v90(constB197, 2)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31651, 31625])).
% 50.22/33.17 tff(31653,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB197, 2)) | v90(constB197, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB197, 2)) | v90(constB197, 2))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31654,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB197, 2)) | v90(constB197, 2))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31655,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB197, 2)) | v90(constB197, 2)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31654, 31653])).
% 50.22/33.17 tff(31656,plain,
% 50.22/33.17 (~v88(constB197, 2)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31655, 26020, 31652])).
% 50.22/33.17 tff(31657,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB195)) | (~v130(constB195, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB195)) | (~v130(constB195, 0)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31658,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB195)) | (~v130(constB195, 0)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31659,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB195)) | (~v130(constB195, 0))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31658, 31657])).
% 50.22/33.17 tff(31660,plain,
% 50.22/33.17 (~v130(constB195, 0)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31659, 916, 31505])).
% 50.22/33.17 tff(31661,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31662,plain,
% 50.22/33.17 ((v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0))) <=> ((~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31663,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0)))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31662])).
% 50.22/33.17 tff(31664,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31663, 31661])).
% 50.22/33.17 tff(31665,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31666,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31665, 31664])).
% 50.22/33.17 tff(31667,plain,
% 50.22/33.17 ((~v127(constB195, 0)) | v130(constB195, 0)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31666, 930, 31551])).
% 50.22/33.17 tff(31668,plain,
% 50.22/33.17 (~v127(constB195, 0)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31667, 31660])).
% 50.22/33.17 tff(31669,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31670,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31671,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31670, 31669])).
% 50.22/33.17 tff(31672,plain,
% 50.22/33.17 (v127(constB195, 0) | (~v129(constB196, 0))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31671, 948, 31569])).
% 50.22/33.17 tff(31673,plain,
% 50.22/33.17 (~v129(constB196, 0)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31672, 31668])).
% 50.22/33.17 tff(31674,plain,
% 50.22/33.17 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31675,plain,
% 50.22/33.17 (((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0)) <=> ((~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31676,plain,
% 50.22/33.17 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196))))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31675])).
% 50.22/33.17 tff(31677,plain,
% 50.22/33.17 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31676, 31674])).
% 50.22/33.17 tff(31678,plain,
% 50.22/33.17 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31679,plain,
% 50.22/33.17 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31678, 31677])).
% 50.22/33.17 tff(31680,plain,
% 50.22/33.17 ((~v90(constB196, 0)) | (~v100(constB196))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31679, 963, 31673])).
% 50.22/33.17 tff(31681,plain,
% 50.22/33.17 (~v90(constB196, 0)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31680, 31603])).
% 50.22/33.17 tff(31682,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31683,plain,
% 50.22/33.17 (((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0))) <=> (v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31684,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0))))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31683])).
% 50.22/33.17 tff(31685,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31684, 31682])).
% 50.22/33.17 tff(31686,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31687,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31686, 31685])).
% 50.22/33.17 tff(31688,plain,
% 50.22/33.17 (v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31687, 164, 31631])).
% 50.22/33.17 tff(31689,plain,
% 50.22/33.17 (v90(constB196, 0) | (~v90(constB197, 0))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31688, 31643])).
% 50.22/33.17 tff(31690,plain,
% 50.22/33.17 (~v90(constB197, 0)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31689, 31681])).
% 50.22/33.17 tff(31691,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB197, 0)) | v90(constB197, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB197, 0)) | v90(constB197, 0))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31692,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB197, 0)) | v90(constB197, 0))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31693,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB197, 0)) | v90(constB197, 0)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31692, 31691])).
% 50.22/33.17 tff(31694,plain,
% 50.22/33.17 (~v88(constB197, 0)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31693, 14930, 31690])).
% 50.22/33.17 tff(31695,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB195)) | v130(constB195, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB195)) | v130(constB195, 1))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31696,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB195)) | v130(constB195, 1))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31697,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB195)) | v130(constB195, 1)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31696, 31695])).
% 50.22/33.17 tff(31698,plain,
% 50.22/33.17 (v130(constB195, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31697, 838, 31505])).
% 50.22/33.17 tff(31699,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31700,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31701,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31700, 31699])).
% 50.22/33.17 tff(31702,plain,
% 50.22/33.17 ((~v130(constB195, 1)) | v127(constB195, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31701, 852, 31551])).
% 50.22/33.17 tff(31703,plain,
% 50.22/33.17 (v127(constB195, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31702, 31698])).
% 50.22/33.17 tff(31704,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31705,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31706,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 50.22/33.17 tff(31707,plain,
% 50.22/33.17 ((~v127(constB195, 1)) | v129(constB196, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31706, 867, 31569])).
% 50.22/33.17 tff(31708,plain,
% 50.22/33.17 (v129(constB196, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31707, 31703])).
% 50.22/33.17 tff(31709,plain,
% 50.22/33.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31710,plain,
% 50.22/33.17 ((v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1))) <=> (v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31711,plain,
% 50.22/33.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196))))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31710])).
% 50.22/33.17 tff(31712,plain,
% 50.22/33.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31711, 31709])).
% 50.22/33.17 tff(31713,plain,
% 50.22/33.17 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31714,plain,
% 50.22/33.17 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 50.22/33.17 tff(31715,plain,
% 50.22/33.17 (v90(constB196, 1) | (~v100(constB196))),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31714, 882, 31708])).
% 50.22/33.17 tff(31716,plain,
% 50.22/33.17 (v90(constB196, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31715, 31603])).
% 50.22/33.17 tff(31717,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31718,plain,
% 50.22/33.17 (((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1)) <=> ((~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31719,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1)))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31718])).
% 50.22/33.17 tff(31720,plain,
% 50.22/33.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31719, 31717])).
% 50.22/33.17 tff(31721,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31722,plain,
% 50.22/33.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31721, 31720])).
% 50.22/33.17 tff(31723,plain,
% 50.22/33.17 ((~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31722, 900, 31631])).
% 50.22/33.17 tff(31724,plain,
% 50.22/33.17 ((~v90(constB196, 1)) | v90(constB197, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31723, 31643])).
% 50.22/33.17 tff(31725,plain,
% 50.22/33.17 (v90(constB197, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31724, 31716])).
% 50.22/33.17 tff(31726,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB197, 1)) | v88(constB197, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB197, 1)) | v88(constB197, 1))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31727,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB197, 1)) | v88(constB197, 1))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31728,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB197, 1)) | v88(constB197, 1)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31727, 31726])).
% 50.22/33.17 tff(31729,plain,
% 50.22/33.17 (v88(constB197, 1)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31728, 15014, 31725])).
% 50.22/33.17 tff(31730,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31731,plain,
% 50.22/33.17 ((v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197)) <=> (v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31732,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197)))),
% 50.22/33.17 inference(monotonicity,[status(thm)],[31731])).
% 50.22/33.17 tff(31733,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))),
% 50.22/33.17 inference(transitivity,[status(thm)],[31732, 31730])).
% 50.22/33.17 tff(31734,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31735,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31734, 31733])).
% 50.22/33.17 tff(31736,plain,
% 50.22/33.17 (v143(constB197)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31735, 26042, 31729, 31694, 31656])).
% 50.22/33.17 tff(31737,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB197)) | v142(constB197))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB197)) | v142(constB197))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31738,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB197)) | v142(constB197))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31739,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB197)) | v142(constB197)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31738, 31737])).
% 50.22/33.17 tff(31740,plain,
% 50.22/33.17 (v142(constB197)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31739, 26056, 31736])).
% 50.22/33.17 tff(31741,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB197)) | v198(constB197))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB197)) | v198(constB197))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31742,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB197)) | v198(constB197))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31743,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB197)) | v198(constB197)),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31742, 31741])).
% 50.22/33.17 tff(31744,plain,
% 50.22/33.17 (v198(constB197)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31743, 15053, 31740])).
% 50.22/33.17 tff(31745,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB197)) | (~v201(constB197)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB197)) | (~v201(constB197)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31746,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB197)) | (~v201(constB197)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31747,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB197)) | (~v201(constB197))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31746, 31745])).
% 50.22/33.17 tff(31748,plain,
% 50.22/33.17 (~v201(constB197)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31747, 15064, 31744])).
% 50.22/33.17 tff(31749,plain,
% 50.22/33.17 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB197) | (~v198(constB197)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB197) | (~v198(constB197)))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31750,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB197) | (~v198(constB197)))),
% 50.22/33.17 inference(quant_inst,[status(thm)],[])).
% 50.22/33.17 tff(31751,plain,
% 50.22/33.17 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB197) | (~v198(constB197))),
% 50.22/33.17 inference(modus_ponens,[status(thm)],[31750, 31749])).
% 50.22/33.17 tff(31752,plain,
% 50.22/33.17 (v197(constB197)),
% 50.22/33.17 inference(unit_resolution,[status(thm)],[31751, 15078, 31744])).
% 50.22/33.17 tff(31753,plain,
% 50.22/33.17 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB197) | (~v197(constB197)) | v201(constB197))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB197) | (~v197(constB197)) | v201(constB197))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31754,plain,
% 50.22/33.17 (((~v197(constB197)) | v201(constB197) | v227(constB197)) <=> (v227(constB197) | (~v197(constB197)) | v201(constB197))),
% 50.22/33.17 inference(rewrite,[status(thm)],[])).
% 50.22/33.17 tff(31755,plain,
% 50.22/33.17 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB197)) | v201(constB197) | v227(constB197))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB197) | (~v197(constB197)) | v201(constB197)))),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31754])).
% 50.22/33.18 tff(31756,plain,
% 50.22/33.18 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB197)) | v201(constB197) | v227(constB197))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB197) | (~v197(constB197)) | v201(constB197))),
% 50.22/33.18 inference(transitivity,[status(thm)],[31755, 31753])).
% 50.22/33.18 tff(31757,plain,
% 50.22/33.18 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB197)) | v201(constB197) | v227(constB197))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31758,plain,
% 50.22/33.18 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB197) | (~v197(constB197)) | v201(constB197)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31757, 31756])).
% 50.22/33.18 tff(31759,plain,
% 50.22/33.18 (v227(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31758, 15092, 31752, 31748])).
% 50.22/33.18 tff(31760,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB197)) | (~v223(constB197, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB197)) | (~v223(constB197, 0)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31761,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB197)) | (~v223(constB197, 0)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31762,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB197)) | (~v223(constB197, 0))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31761, 31760])).
% 50.22/33.18 tff(31763,plain,
% 50.22/33.18 (~v223(constB197, 0)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31762, 15109, 31759])).
% 50.22/33.18 tff(31764,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB197)) | v223(constB197, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB197)) | v223(constB197, 0))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31765,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB197)) | v223(constB197, 0))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31766,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB197)) | v223(constB197, 0)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31765, 31764])).
% 50.22/33.18 tff(31767,plain,
% 50.22/33.18 (~v222(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31766, 15120, 31763])).
% 50.22/33.18 tff(31768,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB197)) | (~v88(constB197, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB197)) | (~v88(constB197, 1)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31769,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB197)) | (~v88(constB197, 1)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31770,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB197)) | (~v88(constB197, 1))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31769, 31768])).
% 50.22/33.18 tff(31771,plain,
% 50.22/33.18 (~v139(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31770, 15131, 31729])).
% 50.22/33.18 tff(31772,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB197)) | (~v88(constB197, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB197)) | (~v88(constB197, 1)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31773,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB197)) | (~v88(constB197, 1)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31774,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB197)) | (~v88(constB197, 1))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31773, 31772])).
% 50.22/33.18 tff(31775,plain,
% 50.22/33.18 (~v140(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31774, 15142, 31729])).
% 50.22/33.18 tff(31776,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v200(constB197)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB197) | v140(constB197) | (~v200(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31777,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v200(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31778,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB197) | v140(constB197) | (~v200(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31777, 31776])).
% 50.22/33.18 tff(31779,plain,
% 50.22/33.18 (~v200(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31778, 15156, 31775, 31771])).
% 50.22/33.18 tff(31780,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB197)) | v88(constB197, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB197)) | v88(constB197, 0))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31781,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB197)) | v88(constB197, 0))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31782,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB197)) | v88(constB197, 0)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31781, 31780])).
% 50.22/33.18 tff(31783,plain,
% 50.22/33.18 (~v141(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31782, 26106, 31694])).
% 50.22/33.18 tff(31784,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB197) | v200(constB197) | (~v166(constB197)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB197) | v200(constB197) | (~v166(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31785,plain,
% 50.22/33.18 ((v141(constB197) | (~v166(constB197)) | v200(constB197)) <=> (v141(constB197) | v200(constB197) | (~v166(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31786,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB197) | (~v166(constB197)) | v200(constB197))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB197) | v200(constB197) | (~v166(constB197))))),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31785])).
% 50.22/33.18 tff(31787,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB197) | (~v166(constB197)) | v200(constB197))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB197) | v200(constB197) | (~v166(constB197)))),
% 50.22/33.18 inference(transitivity,[status(thm)],[31786, 31784])).
% 50.22/33.18 tff(31788,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB197) | (~v166(constB197)) | v200(constB197))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31789,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB197) | v200(constB197) | (~v166(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31788, 31787])).
% 50.22/33.18 tff(31790,plain,
% 50.22/33.18 (~v166(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31789, 15181, 31783, 31779])).
% 50.22/33.18 tff(31791,plain,
% 50.22/33.18 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB197) | (~v197(constB197)) | v166(constB197))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB197) | (~v197(constB197)) | v166(constB197))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31792,plain,
% 50.22/33.18 (((~v197(constB197)) | v166(constB197) | v241(constB197)) <=> (v241(constB197) | (~v197(constB197)) | v166(constB197))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31793,plain,
% 50.22/33.18 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB197)) | v166(constB197) | v241(constB197))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB197) | (~v197(constB197)) | v166(constB197)))),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31792])).
% 50.22/33.18 tff(31794,plain,
% 50.22/33.18 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB197)) | v166(constB197) | v241(constB197))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB197) | (~v197(constB197)) | v166(constB197))),
% 50.22/33.18 inference(transitivity,[status(thm)],[31793, 31791])).
% 50.22/33.18 tff(31795,plain,
% 50.22/33.18 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB197)) | v166(constB197) | v241(constB197))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31796,plain,
% 50.22/33.18 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB197) | (~v197(constB197)) | v166(constB197)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31795, 31794])).
% 50.22/33.18 tff(31797,plain,
% 50.22/33.18 (v241(constB197) | (~v197(constB197))),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31796, 15198, 31790])).
% 50.22/33.18 tff(31798,plain,
% 50.22/33.18 (v241(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31797, 31752])).
% 50.22/33.18 tff(31799,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB197)) | (~v223(constB197, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB197)) | (~v223(constB197, 2)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31800,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB197)) | (~v223(constB197, 2)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31801,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB197)) | (~v223(constB197, 2))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31800, 31799])).
% 50.22/33.18 tff(31802,plain,
% 50.22/33.18 (~v223(constB197, 2)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31801, 15216, 31798])).
% 50.22/33.18 tff(31803,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB197)) | v223(constB197, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB197)) | v223(constB197, 2))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31804,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB197)) | v223(constB197, 2))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31805,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB197)) | v223(constB197, 2)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31804, 31803])).
% 50.22/33.18 tff(31806,plain,
% 50.22/33.18 (~v224(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31805, 15227, 31802])).
% 50.22/33.18 tff(31807,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB197) | v224(constB197) | (~v236(constB197)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB197) | v224(constB197) | (~v236(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31808,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB197) | v224(constB197) | (~v236(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31809,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB197) | v224(constB197) | (~v236(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31808, 31807])).
% 50.22/33.18 tff(31810,plain,
% 50.22/33.18 (~v236(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31809, 15241, 31806, 31767])).
% 50.22/33.18 tff(31811,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB197) | (~v232(constB197)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB197) | (~v232(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31812,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB197) | (~v232(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31813,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB197) | (~v232(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31812, 31811])).
% 50.22/33.18 tff(31814,plain,
% 50.22/33.18 (~v232(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31813, 15255, 31810])).
% 50.22/33.18 tff(31815,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v148(constB197)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB197) | v140(constB197) | (~v148(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31816,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v148(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31817,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB197) | v140(constB197) | (~v148(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 50.22/33.18 tff(31818,plain,
% 50.22/33.18 (~v148(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31817, 15269, 31775, 31771])).
% 50.22/33.18 tff(31819,plain,
% 50.22/33.18 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB197) | v252(constB197) | (~v197(constB197)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB197) | v252(constB197) | (~v197(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31820,plain,
% 50.22/33.18 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB197) | v252(constB197) | (~v197(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31821,plain,
% 50.22/33.18 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB197) | v252(constB197) | (~v197(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31820, 31819])).
% 50.22/33.18 tff(31822,plain,
% 50.22/33.18 (v252(constB197) | (~v197(constB197))),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31821, 15283, 31818])).
% 50.22/33.18 tff(31823,plain,
% 50.22/33.18 (v252(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31822, 31752])).
% 50.22/33.18 tff(31824,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB197)) | (~v223(constB197, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB197)) | (~v223(constB197, 3)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31825,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB197)) | (~v223(constB197, 3)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31826,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB197)) | (~v223(constB197, 3))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31825, 31824])).
% 50.22/33.18 tff(31827,plain,
% 50.22/33.18 (~v223(constB197, 3)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31826, 15298, 31823])).
% 50.22/33.18 tff(31828,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB197)) | v223(constB197, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB197)) | v223(constB197, 3))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31829,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB197)) | v223(constB197, 3))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31830,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB197)) | v223(constB197, 3)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31829, 31828])).
% 50.22/33.18 tff(31831,plain,
% 50.22/33.18 (~v237(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31830, 15309, 31827])).
% 50.22/33.18 tff(31832,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB197) | v237(constB197) | (~v248(constB197)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB197) | v237(constB197) | (~v248(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31833,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB197) | v237(constB197) | (~v248(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31834,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB197) | v237(constB197) | (~v248(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 50.22/33.18 tff(31835,plain,
% 50.22/33.18 (v232(constB197) | (~v248(constB197))),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31834, 15323, 31831])).
% 50.22/33.18 tff(31836,plain,
% 50.22/33.18 (~v248(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31835, 31814])).
% 50.22/33.18 tff(31837,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB197) | (~v244(constB197)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB197) | (~v244(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31838,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB197) | (~v244(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31839,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB197) | (~v244(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 50.22/33.18 tff(31840,plain,
% 50.22/33.18 (~v244(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31839, 15338, 31836])).
% 50.22/33.18 tff(31841,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB197) | (~v216(constB197, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB197) | (~v216(constB197, 1)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31842,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB197) | (~v216(constB197, 1)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31843,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB197) | (~v216(constB197, 1))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31842, 31841])).
% 50.22/33.18 tff(31844,plain,
% 50.22/33.18 (~v216(constB197, 1)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31843, 15352, 31840])).
% 50.22/33.18 tff(31845,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB197)) | v216(constB197, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB197)) | v216(constB197, 1))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31846,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB197)) | v216(constB197, 1))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31847,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB197)) | v216(constB197, 1)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31846, 31845])).
% 50.22/33.18 tff(31848,plain,
% 50.22/33.18 (~v254(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31847, 15363, 31844])).
% 50.22/33.18 tff(31849,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB197) | (~v221(constB197)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB197) | (~v221(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31850,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB197) | (~v221(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31851,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB197) | (~v221(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31850, 31849])).
% 50.22/33.18 tff(31852,plain,
% 50.22/33.18 (~v221(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31851, 15377, 31806])).
% 50.22/33.18 tff(31853,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB197) | (~v231(constB197)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB197) | (~v231(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31854,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB197) | (~v231(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31855,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB197) | (~v231(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31854, 31853])).
% 50.22/33.18 tff(31856,plain,
% 50.22/33.18 (~v231(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31855, 15391, 31831])).
% 50.22/33.18 tff(31857,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB197) | v231(constB197) | (~v243(constB197)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB197) | v231(constB197) | (~v243(constB197)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31858,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB197) | v231(constB197) | (~v243(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31859,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB197) | v231(constB197) | (~v243(constB197))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31858, 31857])).
% 50.22/33.18 tff(31860,plain,
% 50.22/33.18 (~v243(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31859, 15405, 31856, 31852])).
% 50.22/33.18 tff(31861,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB197) | v255(constB197))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB197) | v255(constB197))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31862,plain,
% 50.22/33.18 ((v255(constB197) | v243(constB197)) <=> (v243(constB197) | v255(constB197))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31863,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB197) | v243(constB197))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB197) | v255(constB197)))),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31862])).
% 50.22/33.18 tff(31864,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB197) | v243(constB197))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB197) | v255(constB197))),
% 50.22/33.18 inference(transitivity,[status(thm)],[31863, 31861])).
% 50.22/33.18 tff(31865,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB197) | v243(constB197))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31866,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB197) | v255(constB197)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31865, 31864])).
% 50.22/33.18 tff(31867,plain,
% 50.22/33.18 (v255(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31866, 15416, 31860])).
% 50.22/33.18 tff(31868,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB197)) | (~v216(constB197, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB197)) | (~v216(constB197, 2)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31869,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB197)) | (~v216(constB197, 2)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31870,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB197)) | (~v216(constB197, 2))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31869, 31868])).
% 50.22/33.18 tff(31871,plain,
% 50.22/33.18 (~v216(constB197, 2)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31870, 15433, 31867])).
% 50.22/33.18 tff(31872,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB197, 2) | (~v215(constB197)) | v254(constB197))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB197, 2) | (~v215(constB197)) | v254(constB197))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31873,plain,
% 50.22/33.18 ((v216(constB197, 2) | v254(constB197) | (~v215(constB197))) <=> (v216(constB197, 2) | (~v215(constB197)) | v254(constB197))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31874,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB197, 2) | v254(constB197) | (~v215(constB197)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB197, 2) | (~v215(constB197)) | v254(constB197)))),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31873])).
% 50.22/33.18 tff(31875,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB197, 2) | v254(constB197) | (~v215(constB197)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB197, 2) | (~v215(constB197)) | v254(constB197))),
% 50.22/33.18 inference(transitivity,[status(thm)],[31874, 31872])).
% 50.22/33.18 tff(31876,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB197, 2) | v254(constB197) | (~v215(constB197)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31877,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB197, 2) | (~v215(constB197)) | v254(constB197)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31876, 31875])).
% 50.22/33.18 tff(31878,plain,
% 50.22/33.18 ((~v215(constB197)) | v254(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31877, 15447, 31871])).
% 50.22/33.18 tff(31879,plain,
% 50.22/33.18 (~v215(constB197)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31878, 31848])).
% 50.22/33.18 tff(31880,plain,
% 50.22/33.18 ($false),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31879, 31296])).
% 50.22/33.18 tff(31881,plain,(~(constB197 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.22/33.18 tff(31882,assumption,(constB65 = sK_VarCurr), introduced(assumption)).
% 50.22/33.18 tff(31883,plain,
% 50.22/33.18 (v215(constB65) <=> v215(sK_VarCurr)),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31882])).
% 50.22/33.18 tff(31884,plain,
% 50.22/33.18 (v215(sK_VarCurr) <=> v215(constB65)),
% 50.22/33.18 inference(symmetry,[status(thm)],[31883])).
% 50.22/33.18 tff(31885,plain,
% 50.22/33.18 (v215(constB65)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[34, 31884])).
% 50.22/33.18 tff(31886,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB65, 2)) | v90(constB65, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB65, 2)) | v90(constB65, 2))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31887,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB65, 2)) | v90(constB65, 2))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31888,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB65, 2)) | v90(constB65, 2)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31887, 31886])).
% 50.22/33.18 tff(31889,plain,
% 50.22/33.18 (~v88(constB65, 2)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31888, 26020, 8125])).
% 50.22/33.18 tff(31890,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB65, 0)) | v90(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB65, 0)) | v90(constB65, 0))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31891,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB65, 0)) | v90(constB65, 0))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31892,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB65, 0)) | v90(constB65, 0)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 50.22/33.18 tff(31893,plain,
% 50.22/33.18 (~v88(constB65, 0)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31892, 14930, 8190])).
% 50.22/33.18 tff(31894,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB65, 1)) | v88(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB65, 1)) | v88(constB65, 1))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31895,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB65, 1)) | v88(constB65, 1))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31896,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB65, 1)) | v88(constB65, 1)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31895, 31894])).
% 50.22/33.18 tff(31897,plain,
% 50.22/33.18 (v88(constB65, 1)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31896, 15014, 8156])).
% 50.22/33.18 tff(31898,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 0) | v88(constB65, 2) | v143(constB65) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB65, 0) | v88(constB65, 2) | v143(constB65) | (~v88(constB65, 1)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31899,plain,
% 50.22/33.18 ((v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65)) <=> (v88(constB65, 0) | v88(constB65, 2) | v143(constB65) | (~v88(constB65, 1)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31900,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 0) | v88(constB65, 2) | v143(constB65) | (~v88(constB65, 1))))),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31899])).
% 50.22/33.18 tff(31901,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB65, 0) | v88(constB65, 2) | v143(constB65) | (~v88(constB65, 1)))),
% 50.22/33.18 inference(transitivity,[status(thm)],[31900, 31898])).
% 50.22/33.18 tff(31902,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31903,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB65, 0) | v88(constB65, 2) | v143(constB65) | (~v88(constB65, 1))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31902, 31901])).
% 50.22/33.18 tff(31904,plain,
% 50.22/33.18 (v143(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31903, 26042, 31897, 31893, 31889])).
% 50.22/33.18 tff(31905,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB65)) | v142(constB65))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31906,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31907,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB65)) | v142(constB65)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31906, 31905])).
% 50.22/33.18 tff(31908,plain,
% 50.22/33.18 (v142(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31907, 26056, 31904])).
% 50.22/33.18 tff(31909,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB65)) | v198(constB65))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB65)) | v198(constB65))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31910,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB65)) | v198(constB65))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31911,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB65)) | v198(constB65)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31910, 31909])).
% 50.22/33.18 tff(31912,plain,
% 50.22/33.18 (v198(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31911, 15053, 31908])).
% 50.22/33.18 tff(31913,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB65)) | (~v201(constB65)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB65)) | (~v201(constB65)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31914,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB65)) | (~v201(constB65)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31915,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB65)) | (~v201(constB65))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31914, 31913])).
% 50.22/33.18 tff(31916,plain,
% 50.22/33.18 (~v201(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31915, 15064, 31912])).
% 50.22/33.18 tff(31917,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB65) | (~v198(constB65)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB65) | (~v198(constB65)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31918,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB65) | (~v198(constB65)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31919,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB65) | (~v198(constB65))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31918, 31917])).
% 50.22/33.18 tff(31920,plain,
% 50.22/33.18 (v197(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31919, 15078, 31912])).
% 50.22/33.18 tff(31921,plain,
% 50.22/33.18 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB65) | (~v197(constB65)) | v201(constB65))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB65) | (~v197(constB65)) | v201(constB65))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31922,plain,
% 50.22/33.18 (((~v197(constB65)) | v201(constB65) | v227(constB65)) <=> (v227(constB65) | (~v197(constB65)) | v201(constB65))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31923,plain,
% 50.22/33.18 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB65)) | v201(constB65) | v227(constB65))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB65) | (~v197(constB65)) | v201(constB65)))),
% 50.22/33.18 inference(monotonicity,[status(thm)],[31922])).
% 50.22/33.18 tff(31924,plain,
% 50.22/33.18 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB65)) | v201(constB65) | v227(constB65))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB65) | (~v197(constB65)) | v201(constB65))),
% 50.22/33.18 inference(transitivity,[status(thm)],[31923, 31921])).
% 50.22/33.18 tff(31925,plain,
% 50.22/33.18 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB65)) | v201(constB65) | v227(constB65))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31926,plain,
% 50.22/33.18 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB65) | (~v197(constB65)) | v201(constB65)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31925, 31924])).
% 50.22/33.18 tff(31927,plain,
% 50.22/33.18 (v227(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31926, 15092, 31920, 31916])).
% 50.22/33.18 tff(31928,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB65)) | (~v223(constB65, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB65)) | (~v223(constB65, 0)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31929,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB65)) | (~v223(constB65, 0)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31930,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB65)) | (~v223(constB65, 0))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31929, 31928])).
% 50.22/33.18 tff(31931,plain,
% 50.22/33.18 (~v223(constB65, 0)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31930, 15109, 31927])).
% 50.22/33.18 tff(31932,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB65)) | v223(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB65)) | v223(constB65, 0))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31933,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB65)) | v223(constB65, 0))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31934,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB65)) | v223(constB65, 0)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31933, 31932])).
% 50.22/33.18 tff(31935,plain,
% 50.22/33.18 (~v222(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31934, 15120, 31931])).
% 50.22/33.18 tff(31936,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB65)) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB65)) | (~v88(constB65, 1)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31937,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB65)) | (~v88(constB65, 1)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31938,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB65)) | (~v88(constB65, 1))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31937, 31936])).
% 50.22/33.18 tff(31939,plain,
% 50.22/33.18 (~v139(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31938, 15131, 31897])).
% 50.22/33.18 tff(31940,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB65)) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB65)) | (~v88(constB65, 1)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31941,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB65)) | (~v88(constB65, 1)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31942,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB65)) | (~v88(constB65, 1))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 50.22/33.18 tff(31943,plain,
% 50.22/33.18 (~v140(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31942, 15142, 31897])).
% 50.22/33.18 tff(31944,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB65) | v140(constB65) | (~v200(constB65)))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31945,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v200(constB65)))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31946,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB65) | v140(constB65) | (~v200(constB65))),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31945, 31944])).
% 50.22/33.18 tff(31947,plain,
% 50.22/33.18 (~v200(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31946, 15156, 31943, 31939])).
% 50.22/33.18 tff(31948,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB65)) | v88(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB65)) | v88(constB65, 0))),
% 50.22/33.18 inference(rewrite,[status(thm)],[])).
% 50.22/33.18 tff(31949,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB65)) | v88(constB65, 0))),
% 50.22/33.18 inference(quant_inst,[status(thm)],[])).
% 50.22/33.18 tff(31950,plain,
% 50.22/33.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB65)) | v88(constB65, 0)),
% 50.22/33.18 inference(modus_ponens,[status(thm)],[31949, 31948])).
% 50.22/33.18 tff(31951,plain,
% 50.22/33.18 (~v141(constB65)),
% 50.22/33.18 inference(unit_resolution,[status(thm)],[31950, 26106, 31893])).
% 50.22/33.18 tff(31952,plain,
% 50.22/33.18 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB65) | v200(constB65) | (~v166(constB65)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB65) | v200(constB65) | (~v166(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31953,plain,
% 50.22/33.19 ((v141(constB65) | (~v166(constB65)) | v200(constB65)) <=> (v141(constB65) | v200(constB65) | (~v166(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31954,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB65) | (~v166(constB65)) | v200(constB65))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB65) | v200(constB65) | (~v166(constB65))))),
% 50.22/33.19 inference(monotonicity,[status(thm)],[31953])).
% 50.22/33.19 tff(31955,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB65) | (~v166(constB65)) | v200(constB65))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB65) | v200(constB65) | (~v166(constB65)))),
% 50.22/33.19 inference(transitivity,[status(thm)],[31954, 31952])).
% 50.22/33.19 tff(31956,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB65) | (~v166(constB65)) | v200(constB65))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31957,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB65) | v200(constB65) | (~v166(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 50.22/33.19 tff(31958,plain,
% 50.22/33.19 (~v166(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31957, 15181, 31951, 31947])).
% 50.22/33.19 tff(31959,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB65) | (~v197(constB65)) | v166(constB65))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB65) | (~v197(constB65)) | v166(constB65))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31960,plain,
% 50.22/33.19 (((~v197(constB65)) | v166(constB65) | v241(constB65)) <=> (v241(constB65) | (~v197(constB65)) | v166(constB65))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31961,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB65)) | v166(constB65) | v241(constB65))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB65) | (~v197(constB65)) | v166(constB65)))),
% 50.22/33.19 inference(monotonicity,[status(thm)],[31960])).
% 50.22/33.19 tff(31962,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB65)) | v166(constB65) | v241(constB65))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB65) | (~v197(constB65)) | v166(constB65))),
% 50.22/33.19 inference(transitivity,[status(thm)],[31961, 31959])).
% 50.22/33.19 tff(31963,plain,
% 50.22/33.19 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB65)) | v166(constB65) | v241(constB65))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31964,plain,
% 50.22/33.19 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB65) | (~v197(constB65)) | v166(constB65)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31963, 31962])).
% 50.22/33.19 tff(31965,plain,
% 50.22/33.19 (v241(constB65) | (~v197(constB65))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31964, 15198, 31958])).
% 50.22/33.19 tff(31966,plain,
% 50.22/33.19 (v241(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31965, 31920])).
% 50.22/33.19 tff(31967,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB65)) | (~v223(constB65, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB65)) | (~v223(constB65, 2)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31968,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB65)) | (~v223(constB65, 2)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31969,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB65)) | (~v223(constB65, 2))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31968, 31967])).
% 50.22/33.19 tff(31970,plain,
% 50.22/33.19 (~v223(constB65, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31969, 15216, 31966])).
% 50.22/33.19 tff(31971,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB65)) | v223(constB65, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB65)) | v223(constB65, 2))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31972,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB65)) | v223(constB65, 2))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31973,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB65)) | v223(constB65, 2)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31972, 31971])).
% 50.22/33.19 tff(31974,plain,
% 50.22/33.19 (~v224(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31973, 15227, 31970])).
% 50.22/33.19 tff(31975,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB65) | v224(constB65) | (~v236(constB65)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB65) | v224(constB65) | (~v236(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31976,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB65) | v224(constB65) | (~v236(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31977,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB65) | v224(constB65) | (~v236(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31976, 31975])).
% 50.22/33.19 tff(31978,plain,
% 50.22/33.19 (~v236(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31977, 15241, 31974, 31935])).
% 50.22/33.19 tff(31979,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB65) | (~v232(constB65)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB65) | (~v232(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31980,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB65) | (~v232(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31981,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB65) | (~v232(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31980, 31979])).
% 50.22/33.19 tff(31982,plain,
% 50.22/33.19 (~v232(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31981, 15255, 31978])).
% 50.22/33.19 tff(31983,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v148(constB65)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB65) | v140(constB65) | (~v148(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31984,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v148(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31985,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB65) | v140(constB65) | (~v148(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31984, 31983])).
% 50.22/33.19 tff(31986,plain,
% 50.22/33.19 (~v148(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31985, 15269, 31943, 31939])).
% 50.22/33.19 tff(31987,plain,
% 50.22/33.19 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB65) | v252(constB65) | (~v197(constB65)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB65) | v252(constB65) | (~v197(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31988,plain,
% 50.22/33.19 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB65) | v252(constB65) | (~v197(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31989,plain,
% 50.22/33.19 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB65) | v252(constB65) | (~v197(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31988, 31987])).
% 50.22/33.19 tff(31990,plain,
% 50.22/33.19 (v252(constB65) | (~v197(constB65))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31989, 15283, 31986])).
% 50.22/33.19 tff(31991,plain,
% 50.22/33.19 (v252(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31990, 31920])).
% 50.22/33.19 tff(31992,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB65)) | (~v223(constB65, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB65)) | (~v223(constB65, 3)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31993,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB65)) | (~v223(constB65, 3)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31994,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB65)) | (~v223(constB65, 3))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31993, 31992])).
% 50.22/33.19 tff(31995,plain,
% 50.22/33.19 (~v223(constB65, 3)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31994, 15298, 31991])).
% 50.22/33.19 tff(31996,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB65)) | v223(constB65, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB65)) | v223(constB65, 3))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(31997,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB65)) | v223(constB65, 3))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(31998,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB65)) | v223(constB65, 3)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[31997, 31996])).
% 50.22/33.19 tff(31999,plain,
% 50.22/33.19 (~v237(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[31998, 15309, 31995])).
% 50.22/33.19 tff(32000,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB65) | v237(constB65) | (~v248(constB65)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB65) | v237(constB65) | (~v248(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32001,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB65) | v237(constB65) | (~v248(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32002,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB65) | v237(constB65) | (~v248(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32001, 32000])).
% 50.22/33.19 tff(32003,plain,
% 50.22/33.19 (v232(constB65) | (~v248(constB65))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32002, 15323, 31999])).
% 50.22/33.19 tff(32004,plain,
% 50.22/33.19 (~v248(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32003, 31982])).
% 50.22/33.19 tff(32005,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB65) | (~v244(constB65)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB65) | (~v244(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32006,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB65) | (~v244(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32007,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB65) | (~v244(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32006, 32005])).
% 50.22/33.19 tff(32008,plain,
% 50.22/33.19 (~v244(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32007, 15338, 32004])).
% 50.22/33.19 tff(32009,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB65) | (~v216(constB65, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB65) | (~v216(constB65, 1)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32010,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB65) | (~v216(constB65, 1)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32011,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB65) | (~v216(constB65, 1))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32010, 32009])).
% 50.22/33.19 tff(32012,plain,
% 50.22/33.19 (~v216(constB65, 1)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32011, 15352, 32008])).
% 50.22/33.19 tff(32013,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB65)) | v216(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB65)) | v216(constB65, 1))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32014,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB65)) | v216(constB65, 1))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32015,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB65)) | v216(constB65, 1)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32014, 32013])).
% 50.22/33.19 tff(32016,plain,
% 50.22/33.19 (~v254(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32015, 15363, 32012])).
% 50.22/33.19 tff(32017,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB65) | (~v221(constB65)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB65) | (~v221(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32018,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB65) | (~v221(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32019,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB65) | (~v221(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 50.22/33.19 tff(32020,plain,
% 50.22/33.19 (~v221(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32019, 15377, 31974])).
% 50.22/33.19 tff(32021,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB65) | (~v231(constB65)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB65) | (~v231(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32022,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB65) | (~v231(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32023,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB65) | (~v231(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32022, 32021])).
% 50.22/33.19 tff(32024,plain,
% 50.22/33.19 (~v231(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32023, 15391, 31999])).
% 50.22/33.19 tff(32025,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB65) | v231(constB65) | (~v243(constB65)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB65) | v231(constB65) | (~v243(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32026,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB65) | v231(constB65) | (~v243(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32027,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB65) | v231(constB65) | (~v243(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32026, 32025])).
% 50.22/33.19 tff(32028,plain,
% 50.22/33.19 (~v243(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32027, 15405, 32024, 32020])).
% 50.22/33.19 tff(32029,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB65) | v255(constB65))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB65) | v255(constB65))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32030,plain,
% 50.22/33.19 ((v255(constB65) | v243(constB65)) <=> (v243(constB65) | v255(constB65))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32031,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB65) | v243(constB65))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB65) | v255(constB65)))),
% 50.22/33.19 inference(monotonicity,[status(thm)],[32030])).
% 50.22/33.19 tff(32032,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB65) | v243(constB65))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB65) | v255(constB65))),
% 50.22/33.19 inference(transitivity,[status(thm)],[32031, 32029])).
% 50.22/33.19 tff(32033,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB65) | v243(constB65))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32034,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB65) | v255(constB65)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32033, 32032])).
% 50.22/33.19 tff(32035,plain,
% 50.22/33.19 (v255(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32034, 15416, 32028])).
% 50.22/33.19 tff(32036,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB65)) | (~v216(constB65, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB65)) | (~v216(constB65, 2)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32037,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB65)) | (~v216(constB65, 2)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32038,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB65)) | (~v216(constB65, 2))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32037, 32036])).
% 50.22/33.19 tff(32039,plain,
% 50.22/33.19 (~v216(constB65, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32038, 15433, 32035])).
% 50.22/33.19 tff(32040,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB65, 2) | v254(constB65) | (~v215(constB65)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB65, 2) | v254(constB65) | (~v215(constB65)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32041,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB65, 2) | v254(constB65) | (~v215(constB65)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32042,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB65, 2) | v254(constB65) | (~v215(constB65))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32041, 32040])).
% 50.22/33.19 tff(32043,plain,
% 50.22/33.19 (v254(constB65) | (~v215(constB65))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32042, 15447, 32039])).
% 50.22/33.19 tff(32044,plain,
% 50.22/33.19 (~v215(constB65)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32043, 32016])).
% 50.22/33.19 tff(32045,plain,
% 50.22/33.19 ($false),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32044, 31885])).
% 50.22/33.19 tff(32046,plain,(~(constB65 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.22/33.19 tff(32047,assumption,(constB101 = sK_VarCurr), introduced(assumption)).
% 50.22/33.19 tff(32048,plain,
% 50.22/33.19 (v215(constB101) <=> v215(sK_VarCurr)),
% 50.22/33.19 inference(monotonicity,[status(thm)],[32047])).
% 50.22/33.19 tff(32049,plain,
% 50.22/33.19 (v215(sK_VarCurr) <=> v215(constB101)),
% 50.22/33.19 inference(symmetry,[status(thm)],[32048])).
% 50.22/33.19 tff(32050,plain,
% 50.22/33.19 (v215(constB101)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[34, 32049])).
% 50.22/33.19 tff(32051,plain,
% 50.22/33.19 (~v130(constB99, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12576, 767, 12479])).
% 50.22/33.19 tff(32052,plain,
% 50.22/33.19 (~v127(constB99, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12584, 32051])).
% 50.22/33.19 tff(32053,plain,
% 50.22/33.19 (~v129(constB100, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12589, 32052])).
% 50.22/33.19 tff(32054,plain,
% 50.22/33.19 ((~v90(constB100, 2)) | (~v100(constB100))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12594, 626, 32053])).
% 50.22/33.19 tff(32055,plain,
% 50.22/33.19 (~v90(constB100, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32054, 12571])).
% 50.22/33.19 tff(32056,plain,
% 50.22/33.19 (~v90(constB101, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12622, 32055])).
% 50.22/33.19 tff(32057,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB101, 2)) | v90(constB101, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB101, 2)) | v90(constB101, 2))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32058,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB101, 2)) | v90(constB101, 2))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32059,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB101, 2)) | v90(constB101, 2)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 50.22/33.19 tff(32060,plain,
% 50.22/33.19 (~v88(constB101, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32059, 26020, 32056])).
% 50.22/33.19 tff(32061,plain,
% 50.22/33.19 (~v130(constB99, 0)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12657, 916, 12479])).
% 50.22/33.19 tff(32062,plain,
% 50.22/33.19 (~v127(constB99, 0)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12665, 32061])).
% 50.22/33.19 tff(32063,plain,
% 50.22/33.19 (~v129(constB100, 0)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12670, 32062])).
% 50.22/33.19 tff(32064,plain,
% 50.22/33.19 ((~v90(constB100, 0)) | (~v100(constB100))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12677, 963, 32063])).
% 50.22/33.19 tff(32065,plain,
% 50.22/33.19 (~v90(constB100, 0)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32064, 12571])).
% 50.22/33.19 tff(32066,plain,
% 50.22/33.19 (~v90(constB101, 0)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12687, 32065])).
% 50.22/33.19 tff(32067,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB101, 0)) | v90(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB101, 0)) | v90(constB101, 0))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32068,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB101, 0)) | v90(constB101, 0))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32069,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB101, 0)) | v90(constB101, 0)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32068, 32067])).
% 50.22/33.19 tff(32070,plain,
% 50.22/33.19 (~v88(constB101, 0)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32069, 14930, 32066])).
% 50.22/33.19 tff(32071,plain,
% 50.22/33.19 (v130(constB99, 1)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12626, 838, 12479])).
% 50.22/33.19 tff(32072,plain,
% 50.22/33.19 (v127(constB99, 1)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12631, 32071])).
% 50.22/33.19 tff(32073,plain,
% 50.22/33.19 (v129(constB100, 1)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12636, 32072])).
% 50.22/33.19 tff(32074,plain,
% 50.22/33.19 (v90(constB100, 1) | (~v100(constB100))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12643, 882, 32073])).
% 50.22/33.19 tff(32075,plain,
% 50.22/33.19 (v90(constB100, 1)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32074, 12571])).
% 50.22/33.19 tff(32076,plain,
% 50.22/33.19 (v90(constB101, 1)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[12653, 32075])).
% 50.22/33.19 tff(32077,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB101, 1)) | v88(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB101, 1)) | v88(constB101, 1))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32078,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB101, 1)) | v88(constB101, 1))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32079,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB101, 1)) | v88(constB101, 1)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32078, 32077])).
% 50.22/33.19 tff(32080,plain,
% 50.22/33.19 (v88(constB101, 1)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32079, 15014, 32076])).
% 50.22/33.19 tff(32081,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32082,plain,
% 50.22/33.19 ((v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101)) <=> (v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32083,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101)))),
% 50.22/33.19 inference(monotonicity,[status(thm)],[32082])).
% 50.22/33.19 tff(32084,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))),
% 50.22/33.19 inference(transitivity,[status(thm)],[32083, 32081])).
% 50.22/33.19 tff(32085,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32086,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32085, 32084])).
% 50.22/33.19 tff(32087,plain,
% 50.22/33.19 (v143(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32086, 26042, 32080, 32070, 32060])).
% 50.22/33.19 tff(32088,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB101)) | v142(constB101))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB101)) | v142(constB101))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32089,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB101)) | v142(constB101))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32090,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB101)) | v142(constB101)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32089, 32088])).
% 50.22/33.19 tff(32091,plain,
% 50.22/33.19 (v142(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32090, 26056, 32087])).
% 50.22/33.19 tff(32092,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB101)) | v198(constB101))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB101)) | v198(constB101))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32093,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB101)) | v198(constB101))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32094,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB101)) | v198(constB101)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32093, 32092])).
% 50.22/33.19 tff(32095,plain,
% 50.22/33.19 (v198(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32094, 15053, 32091])).
% 50.22/33.19 tff(32096,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB101)) | (~v201(constB101)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB101)) | (~v201(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32097,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB101)) | (~v201(constB101)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32098,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB101)) | (~v201(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 50.22/33.19 tff(32099,plain,
% 50.22/33.19 (~v201(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32098, 15064, 32095])).
% 50.22/33.19 tff(32100,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB101) | (~v198(constB101)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB101) | (~v198(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32101,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB101) | (~v198(constB101)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32102,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB101) | (~v198(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32101, 32100])).
% 50.22/33.19 tff(32103,plain,
% 50.22/33.19 (v197(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32102, 15078, 32095])).
% 50.22/33.19 tff(32104,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB101) | (~v197(constB101)) | v201(constB101))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB101) | (~v197(constB101)) | v201(constB101))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32105,plain,
% 50.22/33.19 (((~v197(constB101)) | v201(constB101) | v227(constB101)) <=> (v227(constB101) | (~v197(constB101)) | v201(constB101))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32106,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB101)) | v201(constB101) | v227(constB101))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB101) | (~v197(constB101)) | v201(constB101)))),
% 50.22/33.19 inference(monotonicity,[status(thm)],[32105])).
% 50.22/33.19 tff(32107,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB101)) | v201(constB101) | v227(constB101))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB101) | (~v197(constB101)) | v201(constB101))),
% 50.22/33.19 inference(transitivity,[status(thm)],[32106, 32104])).
% 50.22/33.19 tff(32108,plain,
% 50.22/33.19 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB101)) | v201(constB101) | v227(constB101))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32109,plain,
% 50.22/33.19 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB101) | (~v197(constB101)) | v201(constB101)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 50.22/33.19 tff(32110,plain,
% 50.22/33.19 (v227(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32109, 15092, 32103, 32099])).
% 50.22/33.19 tff(32111,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB101)) | (~v223(constB101, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB101)) | (~v223(constB101, 0)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32112,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB101)) | (~v223(constB101, 0)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32113,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB101)) | (~v223(constB101, 0))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32112, 32111])).
% 50.22/33.19 tff(32114,plain,
% 50.22/33.19 (~v223(constB101, 0)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32113, 15109, 32110])).
% 50.22/33.19 tff(32115,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB101)) | v223(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB101)) | v223(constB101, 0))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32116,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB101)) | v223(constB101, 0))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32117,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB101)) | v223(constB101, 0)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32116, 32115])).
% 50.22/33.19 tff(32118,plain,
% 50.22/33.19 (~v222(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32117, 15120, 32114])).
% 50.22/33.19 tff(32119,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB101)) | (~v88(constB101, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB101)) | (~v88(constB101, 1)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32120,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB101)) | (~v88(constB101, 1)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32121,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB101)) | (~v88(constB101, 1))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32120, 32119])).
% 50.22/33.19 tff(32122,plain,
% 50.22/33.19 (~v139(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32121, 15131, 32080])).
% 50.22/33.19 tff(32123,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB101)) | (~v88(constB101, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB101)) | (~v88(constB101, 1)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32124,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB101)) | (~v88(constB101, 1)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32125,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB101)) | (~v88(constB101, 1))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32124, 32123])).
% 50.22/33.19 tff(32126,plain,
% 50.22/33.19 (~v140(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32125, 15142, 32080])).
% 50.22/33.19 tff(32127,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v200(constB101)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB101) | v140(constB101) | (~v200(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32128,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v200(constB101)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32129,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB101) | v140(constB101) | (~v200(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32128, 32127])).
% 50.22/33.19 tff(32130,plain,
% 50.22/33.19 (~v200(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32129, 15156, 32126, 32122])).
% 50.22/33.19 tff(32131,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB101)) | v88(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB101)) | v88(constB101, 0))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32132,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB101)) | v88(constB101, 0))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32133,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB101)) | v88(constB101, 0)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32132, 32131])).
% 50.22/33.19 tff(32134,plain,
% 50.22/33.19 (~v141(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32133, 26106, 32070])).
% 50.22/33.19 tff(32135,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB101) | v200(constB101) | (~v166(constB101)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB101) | v200(constB101) | (~v166(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32136,plain,
% 50.22/33.19 ((v141(constB101) | (~v166(constB101)) | v200(constB101)) <=> (v141(constB101) | v200(constB101) | (~v166(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32137,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB101) | (~v166(constB101)) | v200(constB101))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB101) | v200(constB101) | (~v166(constB101))))),
% 50.22/33.19 inference(monotonicity,[status(thm)],[32136])).
% 50.22/33.19 tff(32138,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB101) | (~v166(constB101)) | v200(constB101))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB101) | v200(constB101) | (~v166(constB101)))),
% 50.22/33.19 inference(transitivity,[status(thm)],[32137, 32135])).
% 50.22/33.19 tff(32139,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB101) | (~v166(constB101)) | v200(constB101))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32140,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB101) | v200(constB101) | (~v166(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32139, 32138])).
% 50.22/33.19 tff(32141,plain,
% 50.22/33.19 (~v166(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32140, 15181, 32134, 32130])).
% 50.22/33.19 tff(32142,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB101) | v166(constB101) | (~v197(constB101)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB101) | v166(constB101) | (~v197(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32143,plain,
% 50.22/33.19 (((~v197(constB101)) | v166(constB101) | v241(constB101)) <=> (v241(constB101) | v166(constB101) | (~v197(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32144,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB101)) | v166(constB101) | v241(constB101))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB101) | v166(constB101) | (~v197(constB101))))),
% 50.22/33.19 inference(monotonicity,[status(thm)],[32143])).
% 50.22/33.19 tff(32145,plain,
% 50.22/33.19 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB101)) | v166(constB101) | v241(constB101))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB101) | v166(constB101) | (~v197(constB101)))),
% 50.22/33.19 inference(transitivity,[status(thm)],[32144, 32142])).
% 50.22/33.19 tff(32146,plain,
% 50.22/33.19 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB101)) | v166(constB101) | v241(constB101))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32147,plain,
% 50.22/33.19 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB101) | v166(constB101) | (~v197(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32146, 32145])).
% 50.22/33.19 tff(32148,plain,
% 50.22/33.19 (v241(constB101) | (~v197(constB101))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32147, 15198, 32141])).
% 50.22/33.19 tff(32149,plain,
% 50.22/33.19 (v241(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32148, 32103])).
% 50.22/33.19 tff(32150,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB101)) | (~v223(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB101)) | (~v223(constB101, 2)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32151,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB101)) | (~v223(constB101, 2)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32152,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB101)) | (~v223(constB101, 2))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32151, 32150])).
% 50.22/33.19 tff(32153,plain,
% 50.22/33.19 (~v223(constB101, 2)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32152, 15216, 32149])).
% 50.22/33.19 tff(32154,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB101)) | v223(constB101, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB101)) | v223(constB101, 2))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32155,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB101)) | v223(constB101, 2))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32156,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB101)) | v223(constB101, 2)),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32155, 32154])).
% 50.22/33.19 tff(32157,plain,
% 50.22/33.19 (~v224(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32156, 15227, 32153])).
% 50.22/33.19 tff(32158,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB101) | v224(constB101) | (~v236(constB101)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB101) | v224(constB101) | (~v236(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32159,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB101) | v224(constB101) | (~v236(constB101)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32160,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB101) | v224(constB101) | (~v236(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32159, 32158])).
% 50.22/33.19 tff(32161,plain,
% 50.22/33.19 (~v236(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32160, 15241, 32157, 32118])).
% 50.22/33.19 tff(32162,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB101) | (~v232(constB101)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB101) | (~v232(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32163,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB101) | (~v232(constB101)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32164,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB101) | (~v232(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32163, 32162])).
% 50.22/33.19 tff(32165,plain,
% 50.22/33.19 (~v232(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32164, 15255, 32161])).
% 50.22/33.19 tff(32166,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v148(constB101)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB101) | v140(constB101) | (~v148(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32167,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v148(constB101)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32168,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB101) | v140(constB101) | (~v148(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32167, 32166])).
% 50.22/33.19 tff(32169,plain,
% 50.22/33.19 (~v148(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32168, 15269, 32126, 32122])).
% 50.22/33.19 tff(32170,plain,
% 50.22/33.19 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB101) | v252(constB101) | (~v197(constB101)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB101) | v252(constB101) | (~v197(constB101)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32171,plain,
% 50.22/33.19 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB101) | v252(constB101) | (~v197(constB101)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32172,plain,
% 50.22/33.19 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB101) | v252(constB101) | (~v197(constB101))),
% 50.22/33.19 inference(modus_ponens,[status(thm)],[32171, 32170])).
% 50.22/33.19 tff(32173,plain,
% 50.22/33.19 (v252(constB101) | (~v197(constB101))),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32172, 15283, 32169])).
% 50.22/33.19 tff(32174,plain,
% 50.22/33.19 (v252(constB101)),
% 50.22/33.19 inference(unit_resolution,[status(thm)],[32173, 32103])).
% 50.22/33.19 tff(32175,plain,
% 50.22/33.19 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB101)) | (~v223(constB101, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB101)) | (~v223(constB101, 3)))),
% 50.22/33.19 inference(rewrite,[status(thm)],[])).
% 50.22/33.19 tff(32176,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB101)) | (~v223(constB101, 3)))),
% 50.22/33.19 inference(quant_inst,[status(thm)],[])).
% 50.22/33.19 tff(32177,plain,
% 50.22/33.19 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB101)) | (~v223(constB101, 3))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 50.27/33.20 tff(32178,plain,
% 50.27/33.20 (~v223(constB101, 3)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32177, 15298, 32174])).
% 50.27/33.20 tff(32179,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB101)) | v223(constB101, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB101)) | v223(constB101, 3))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32180,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB101)) | v223(constB101, 3))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32181,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB101)) | v223(constB101, 3)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32180, 32179])).
% 50.27/33.20 tff(32182,plain,
% 50.27/33.20 (~v237(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32181, 15309, 32178])).
% 50.27/33.20 tff(32183,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB101) | v237(constB101) | (~v248(constB101)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB101) | v237(constB101) | (~v248(constB101)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32184,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB101) | v237(constB101) | (~v248(constB101)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32185,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB101) | v237(constB101) | (~v248(constB101))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32184, 32183])).
% 50.27/33.20 tff(32186,plain,
% 50.27/33.20 (v232(constB101) | (~v248(constB101))),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32185, 15323, 32182])).
% 50.27/33.20 tff(32187,plain,
% 50.27/33.20 (~v248(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32186, 32165])).
% 50.27/33.20 tff(32188,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB101) | (~v244(constB101)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB101) | (~v244(constB101)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32189,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB101) | (~v244(constB101)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32190,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB101) | (~v244(constB101))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32189, 32188])).
% 50.27/33.20 tff(32191,plain,
% 50.27/33.20 (~v244(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32190, 15338, 32187])).
% 50.27/33.20 tff(32192,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB101) | (~v216(constB101, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB101) | (~v216(constB101, 1)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32193,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB101) | (~v216(constB101, 1)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32194,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB101) | (~v216(constB101, 1))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32193, 32192])).
% 50.27/33.20 tff(32195,plain,
% 50.27/33.20 (~v216(constB101, 1)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32194, 15352, 32191])).
% 50.27/33.20 tff(32196,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB101)) | v216(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB101)) | v216(constB101, 1))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32197,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB101)) | v216(constB101, 1))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32198,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB101)) | v216(constB101, 1)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32197, 32196])).
% 50.27/33.20 tff(32199,plain,
% 50.27/33.20 (~v254(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32198, 15363, 32195])).
% 50.27/33.20 tff(32200,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB101) | (~v221(constB101)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB101) | (~v221(constB101)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32201,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB101) | (~v221(constB101)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32202,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB101) | (~v221(constB101))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32201, 32200])).
% 50.27/33.20 tff(32203,plain,
% 50.27/33.20 (~v221(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32202, 15377, 32157])).
% 50.27/33.20 tff(32204,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB101) | (~v231(constB101)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB101) | (~v231(constB101)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32205,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB101) | (~v231(constB101)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32206,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB101) | (~v231(constB101))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32205, 32204])).
% 50.27/33.20 tff(32207,plain,
% 50.27/33.20 (~v231(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32206, 15391, 32182])).
% 50.27/33.20 tff(32208,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB101) | v231(constB101) | (~v243(constB101)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB101) | v231(constB101) | (~v243(constB101)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32209,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB101) | v231(constB101) | (~v243(constB101)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32210,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB101) | v231(constB101) | (~v243(constB101))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32209, 32208])).
% 50.27/33.20 tff(32211,plain,
% 50.27/33.20 (~v243(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32210, 15405, 32207, 32203])).
% 50.27/33.20 tff(32212,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB101) | v255(constB101))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB101) | v255(constB101))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32213,plain,
% 50.27/33.20 ((v255(constB101) | v243(constB101)) <=> (v243(constB101) | v255(constB101))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32214,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB101) | v243(constB101))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB101) | v255(constB101)))),
% 50.27/33.20 inference(monotonicity,[status(thm)],[32213])).
% 50.27/33.20 tff(32215,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB101) | v243(constB101))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB101) | v255(constB101))),
% 50.27/33.20 inference(transitivity,[status(thm)],[32214, 32212])).
% 50.27/33.20 tff(32216,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB101) | v243(constB101))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32217,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB101) | v255(constB101)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 50.27/33.20 tff(32218,plain,
% 50.27/33.20 (v255(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32217, 15416, 32211])).
% 50.27/33.20 tff(32219,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB101)) | (~v216(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB101)) | (~v216(constB101, 2)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32220,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB101)) | (~v216(constB101, 2)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32221,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB101)) | (~v216(constB101, 2))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 50.27/33.20 tff(32222,plain,
% 50.27/33.20 (~v216(constB101, 2)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32221, 15433, 32218])).
% 50.27/33.20 tff(32223,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB101, 2) | (~v215(constB101)) | v254(constB101))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB101, 2) | (~v215(constB101)) | v254(constB101))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32224,plain,
% 50.27/33.20 ((v216(constB101, 2) | v254(constB101) | (~v215(constB101))) <=> (v216(constB101, 2) | (~v215(constB101)) | v254(constB101))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32225,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB101, 2) | v254(constB101) | (~v215(constB101)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB101, 2) | (~v215(constB101)) | v254(constB101)))),
% 50.27/33.20 inference(monotonicity,[status(thm)],[32224])).
% 50.27/33.20 tff(32226,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB101, 2) | v254(constB101) | (~v215(constB101)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB101, 2) | (~v215(constB101)) | v254(constB101))),
% 50.27/33.20 inference(transitivity,[status(thm)],[32225, 32223])).
% 50.27/33.20 tff(32227,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB101, 2) | v254(constB101) | (~v215(constB101)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32228,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB101, 2) | (~v215(constB101)) | v254(constB101)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32227, 32226])).
% 50.27/33.20 tff(32229,plain,
% 50.27/33.20 ((~v215(constB101)) | v254(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32228, 15447, 32222])).
% 50.27/33.20 tff(32230,plain,
% 50.27/33.20 (~v215(constB101)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32229, 32199])).
% 50.27/33.20 tff(32231,plain,
% 50.27/33.20 ($false),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32230, 32050])).
% 50.27/33.20 tff(32232,plain,(~(constB101 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.20 tff(32233,assumption,(constB41 = sK_VarCurr), introduced(assumption)).
% 50.27/33.20 tff(32234,plain,
% 50.27/33.20 (v215(constB41) <=> v215(sK_VarCurr)),
% 50.27/33.20 inference(monotonicity,[status(thm)],[32233])).
% 50.27/33.20 tff(32235,plain,
% 50.27/33.20 (v215(sK_VarCurr) <=> v215(constB41)),
% 50.27/33.20 inference(symmetry,[status(thm)],[32234])).
% 50.27/33.20 tff(32236,plain,
% 50.27/33.20 (v215(constB41)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[34, 32235])).
% 50.27/33.20 tff(32237,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB41, 2)) | v90(constB41, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB41, 2)) | v90(constB41, 2))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32238,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB41, 2)) | v90(constB41, 2))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32239,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB41, 2)) | v90(constB41, 2)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32238, 32237])).
% 50.27/33.20 tff(32240,plain,
% 50.27/33.20 (~v88(constB41, 2)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32239, 26020, 5416])).
% 50.27/33.20 tff(32241,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB41, 0)) | v90(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB41, 0)) | v90(constB41, 0))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32242,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB41, 0)) | v90(constB41, 0))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32243,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB41, 0)) | v90(constB41, 0)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32242, 32241])).
% 50.27/33.20 tff(32244,plain,
% 50.27/33.20 (~v88(constB41, 0)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32243, 14930, 5481])).
% 50.27/33.20 tff(32245,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB41, 1)) | v88(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB41, 1)) | v88(constB41, 1))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32246,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB41, 1)) | v88(constB41, 1))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32247,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB41, 1)) | v88(constB41, 1)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32246, 32245])).
% 50.27/33.20 tff(32248,plain,
% 50.27/33.20 (v88(constB41, 1)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32247, 15014, 5447])).
% 50.27/33.20 tff(32249,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32250,plain,
% 50.27/33.20 ((v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41)) <=> ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32251,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41)))),
% 50.27/33.20 inference(monotonicity,[status(thm)],[32250])).
% 50.27/33.20 tff(32252,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 50.27/33.20 inference(transitivity,[status(thm)],[32251, 32249])).
% 50.27/33.20 tff(32253,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32254,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32253, 32252])).
% 50.27/33.20 tff(32255,plain,
% 50.27/33.20 (v143(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32254, 26042, 32248, 32244, 32240])).
% 50.27/33.20 tff(32256,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32257,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32258,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32257, 32256])).
% 50.27/33.20 tff(32259,plain,
% 50.27/33.20 (v142(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32258, 26056, 32255])).
% 50.27/33.20 tff(32260,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB41)) | v198(constB41))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB41)) | v198(constB41))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32261,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB41)) | v198(constB41))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32262,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB41)) | v198(constB41)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32261, 32260])).
% 50.27/33.20 tff(32263,plain,
% 50.27/33.20 (v198(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32262, 15053, 32259])).
% 50.27/33.20 tff(32264,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB41)) | (~v201(constB41)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB41)) | (~v201(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32265,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB41)) | (~v201(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32266,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB41)) | (~v201(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32265, 32264])).
% 50.27/33.20 tff(32267,plain,
% 50.27/33.20 (~v201(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32266, 15064, 32263])).
% 50.27/33.20 tff(32268,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB41) | (~v198(constB41)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB41) | (~v198(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32269,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB41) | (~v198(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32270,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB41) | (~v198(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32269, 32268])).
% 50.27/33.20 tff(32271,plain,
% 50.27/33.20 (v197(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32270, 15078, 32263])).
% 50.27/33.20 tff(32272,plain,
% 50.27/33.20 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB41) | (~v197(constB41)) | v201(constB41))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB41) | (~v197(constB41)) | v201(constB41))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32273,plain,
% 50.27/33.20 (((~v197(constB41)) | v201(constB41) | v227(constB41)) <=> (v227(constB41) | (~v197(constB41)) | v201(constB41))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32274,plain,
% 50.27/33.20 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB41)) | v201(constB41) | v227(constB41))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB41) | (~v197(constB41)) | v201(constB41)))),
% 50.27/33.20 inference(monotonicity,[status(thm)],[32273])).
% 50.27/33.20 tff(32275,plain,
% 50.27/33.20 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB41)) | v201(constB41) | v227(constB41))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB41) | (~v197(constB41)) | v201(constB41))),
% 50.27/33.20 inference(transitivity,[status(thm)],[32274, 32272])).
% 50.27/33.20 tff(32276,plain,
% 50.27/33.20 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB41)) | v201(constB41) | v227(constB41))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32277,plain,
% 50.27/33.20 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB41) | (~v197(constB41)) | v201(constB41)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32276, 32275])).
% 50.27/33.20 tff(32278,plain,
% 50.27/33.20 (v227(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32277, 15092, 32271, 32267])).
% 50.27/33.20 tff(32279,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB41)) | (~v223(constB41, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB41)) | (~v223(constB41, 0)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32280,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB41)) | (~v223(constB41, 0)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32281,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB41)) | (~v223(constB41, 0))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32280, 32279])).
% 50.27/33.20 tff(32282,plain,
% 50.27/33.20 (~v223(constB41, 0)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32281, 15109, 32278])).
% 50.27/33.20 tff(32283,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB41)) | v223(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB41)) | v223(constB41, 0))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32284,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB41)) | v223(constB41, 0))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32285,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB41)) | v223(constB41, 0)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32284, 32283])).
% 50.27/33.20 tff(32286,plain,
% 50.27/33.20 (~v222(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32285, 15120, 32282])).
% 50.27/33.20 tff(32287,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB41)) | (~v88(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB41)) | (~v88(constB41, 1)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32288,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB41)) | (~v88(constB41, 1)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32289,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB41)) | (~v88(constB41, 1))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32288, 32287])).
% 50.27/33.20 tff(32290,plain,
% 50.27/33.20 (~v139(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32289, 15131, 32248])).
% 50.27/33.20 tff(32291,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB41)) | (~v88(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB41)) | (~v88(constB41, 1)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32292,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB41)) | (~v88(constB41, 1)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32293,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB41)) | (~v88(constB41, 1))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32292, 32291])).
% 50.27/33.20 tff(32294,plain,
% 50.27/33.20 (~v140(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32293, 15142, 32248])).
% 50.27/33.20 tff(32295,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v200(constB41)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB41) | v140(constB41) | (~v200(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32296,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v200(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32297,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB41) | v140(constB41) | (~v200(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32296, 32295])).
% 50.27/33.20 tff(32298,plain,
% 50.27/33.20 (~v200(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32297, 15156, 32294, 32290])).
% 50.27/33.20 tff(32299,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB41)) | v88(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB41)) | v88(constB41, 0))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32300,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB41)) | v88(constB41, 0))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32301,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB41)) | v88(constB41, 0)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32300, 32299])).
% 50.27/33.20 tff(32302,plain,
% 50.27/33.20 (~v141(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32301, 26106, 32244])).
% 50.27/33.20 tff(32303,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB41) | v200(constB41) | (~v166(constB41)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB41) | v200(constB41) | (~v166(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32304,plain,
% 50.27/33.20 ((v141(constB41) | (~v166(constB41)) | v200(constB41)) <=> (v141(constB41) | v200(constB41) | (~v166(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32305,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB41) | (~v166(constB41)) | v200(constB41))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB41) | v200(constB41) | (~v166(constB41))))),
% 50.27/33.20 inference(monotonicity,[status(thm)],[32304])).
% 50.27/33.20 tff(32306,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB41) | (~v166(constB41)) | v200(constB41))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB41) | v200(constB41) | (~v166(constB41)))),
% 50.27/33.20 inference(transitivity,[status(thm)],[32305, 32303])).
% 50.27/33.20 tff(32307,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB41) | (~v166(constB41)) | v200(constB41))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32308,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB41) | v200(constB41) | (~v166(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32307, 32306])).
% 50.27/33.20 tff(32309,plain,
% 50.27/33.20 (~v166(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32308, 15181, 32302, 32298])).
% 50.27/33.20 tff(32310,plain,
% 50.27/33.20 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB41) | v166(constB41) | (~v197(constB41)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB41) | v166(constB41) | (~v197(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32311,plain,
% 50.27/33.20 (((~v197(constB41)) | v166(constB41) | v241(constB41)) <=> (v241(constB41) | v166(constB41) | (~v197(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32312,plain,
% 50.27/33.20 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB41)) | v166(constB41) | v241(constB41))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB41) | v166(constB41) | (~v197(constB41))))),
% 50.27/33.20 inference(monotonicity,[status(thm)],[32311])).
% 50.27/33.20 tff(32313,plain,
% 50.27/33.20 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB41)) | v166(constB41) | v241(constB41))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB41) | v166(constB41) | (~v197(constB41)))),
% 50.27/33.20 inference(transitivity,[status(thm)],[32312, 32310])).
% 50.27/33.20 tff(32314,plain,
% 50.27/33.20 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB41)) | v166(constB41) | v241(constB41))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32315,plain,
% 50.27/33.20 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB41) | v166(constB41) | (~v197(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32314, 32313])).
% 50.27/33.20 tff(32316,plain,
% 50.27/33.20 (v241(constB41) | (~v197(constB41))),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32315, 15198, 32309])).
% 50.27/33.20 tff(32317,plain,
% 50.27/33.20 (v241(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32316, 32271])).
% 50.27/33.20 tff(32318,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB41)) | (~v223(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB41)) | (~v223(constB41, 2)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32319,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB41)) | (~v223(constB41, 2)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32320,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB41)) | (~v223(constB41, 2))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32319, 32318])).
% 50.27/33.20 tff(32321,plain,
% 50.27/33.20 (~v223(constB41, 2)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32320, 15216, 32317])).
% 50.27/33.20 tff(32322,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB41)) | v223(constB41, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB41)) | v223(constB41, 2))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32323,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB41)) | v223(constB41, 2))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32324,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB41)) | v223(constB41, 2)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32323, 32322])).
% 50.27/33.20 tff(32325,plain,
% 50.27/33.20 (~v224(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32324, 15227, 32321])).
% 50.27/33.20 tff(32326,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB41) | v224(constB41) | (~v236(constB41)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB41) | v224(constB41) | (~v236(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32327,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB41) | v224(constB41) | (~v236(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32328,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB41) | v224(constB41) | (~v236(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32327, 32326])).
% 50.27/33.20 tff(32329,plain,
% 50.27/33.20 (~v236(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32328, 15241, 32325, 32286])).
% 50.27/33.20 tff(32330,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB41) | (~v232(constB41)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB41) | (~v232(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32331,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB41) | (~v232(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32332,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB41) | (~v232(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32331, 32330])).
% 50.27/33.20 tff(32333,plain,
% 50.27/33.20 (~v232(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32332, 15255, 32329])).
% 50.27/33.20 tff(32334,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v148(constB41)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB41) | v140(constB41) | (~v148(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32335,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v148(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32336,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB41) | v140(constB41) | (~v148(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32335, 32334])).
% 50.27/33.20 tff(32337,plain,
% 50.27/33.20 (~v148(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32336, 15269, 32294, 32290])).
% 50.27/33.20 tff(32338,plain,
% 50.27/33.20 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB41) | v252(constB41) | (~v197(constB41)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB41) | v252(constB41) | (~v197(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32339,plain,
% 50.27/33.20 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB41) | v252(constB41) | (~v197(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32340,plain,
% 50.27/33.20 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB41) | v252(constB41) | (~v197(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32339, 32338])).
% 50.27/33.20 tff(32341,plain,
% 50.27/33.20 (v252(constB41) | (~v197(constB41))),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32340, 15283, 32337])).
% 50.27/33.20 tff(32342,plain,
% 50.27/33.20 (v252(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32341, 32271])).
% 50.27/33.20 tff(32343,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB41)) | (~v223(constB41, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB41)) | (~v223(constB41, 3)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32344,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB41)) | (~v223(constB41, 3)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32345,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB41)) | (~v223(constB41, 3))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32344, 32343])).
% 50.27/33.20 tff(32346,plain,
% 50.27/33.20 (~v223(constB41, 3)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32345, 15298, 32342])).
% 50.27/33.20 tff(32347,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB41)) | v223(constB41, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB41)) | v223(constB41, 3))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32348,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB41)) | v223(constB41, 3))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32349,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB41)) | v223(constB41, 3)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 50.27/33.20 tff(32350,plain,
% 50.27/33.20 (~v237(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32349, 15309, 32346])).
% 50.27/33.20 tff(32351,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB41) | v237(constB41) | (~v248(constB41)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB41) | v237(constB41) | (~v248(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32352,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB41) | v237(constB41) | (~v248(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32353,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB41) | v237(constB41) | (~v248(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32352, 32351])).
% 50.27/33.20 tff(32354,plain,
% 50.27/33.20 (v232(constB41) | (~v248(constB41))),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32353, 15323, 32350])).
% 50.27/33.20 tff(32355,plain,
% 50.27/33.20 (~v248(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32354, 32333])).
% 50.27/33.20 tff(32356,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB41) | (~v244(constB41)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB41) | (~v244(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32357,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB41) | (~v244(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32358,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB41) | (~v244(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 50.27/33.20 tff(32359,plain,
% 50.27/33.20 (~v244(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32358, 15338, 32355])).
% 50.27/33.20 tff(32360,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB41) | (~v216(constB41, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB41) | (~v216(constB41, 1)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32361,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB41) | (~v216(constB41, 1)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32362,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB41) | (~v216(constB41, 1))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32361, 32360])).
% 50.27/33.20 tff(32363,plain,
% 50.27/33.20 (~v216(constB41, 1)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32362, 15352, 32359])).
% 50.27/33.20 tff(32364,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB41)) | v216(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB41)) | v216(constB41, 1))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32365,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB41)) | v216(constB41, 1))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32366,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB41)) | v216(constB41, 1)),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32365, 32364])).
% 50.27/33.20 tff(32367,plain,
% 50.27/33.20 (~v254(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32366, 15363, 32363])).
% 50.27/33.20 tff(32368,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB41) | (~v221(constB41)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB41) | (~v221(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32369,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB41) | (~v221(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32370,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB41) | (~v221(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32369, 32368])).
% 50.27/33.20 tff(32371,plain,
% 50.27/33.20 (~v221(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32370, 15377, 32325])).
% 50.27/33.20 tff(32372,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB41) | (~v231(constB41)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB41) | (~v231(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32373,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB41) | (~v231(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32374,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB41) | (~v231(constB41))),
% 50.27/33.20 inference(modus_ponens,[status(thm)],[32373, 32372])).
% 50.27/33.20 tff(32375,plain,
% 50.27/33.20 (~v231(constB41)),
% 50.27/33.20 inference(unit_resolution,[status(thm)],[32374, 15391, 32350])).
% 50.27/33.20 tff(32376,plain,
% 50.27/33.20 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB41) | v231(constB41) | (~v243(constB41)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB41) | v231(constB41) | (~v243(constB41)))),
% 50.27/33.20 inference(rewrite,[status(thm)],[])).
% 50.27/33.20 tff(32377,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB41) | v231(constB41) | (~v243(constB41)))),
% 50.27/33.20 inference(quant_inst,[status(thm)],[])).
% 50.27/33.20 tff(32378,plain,
% 50.27/33.20 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB41) | v231(constB41) | (~v243(constB41))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32377, 32376])).
% 50.27/33.21 tff(32379,plain,
% 50.27/33.21 (~v243(constB41)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32378, 15405, 32375, 32371])).
% 50.27/33.21 tff(32380,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB41) | v255(constB41))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB41) | v255(constB41))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32381,plain,
% 50.27/33.21 ((v255(constB41) | v243(constB41)) <=> (v243(constB41) | v255(constB41))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32382,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB41) | v243(constB41))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB41) | v255(constB41)))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32381])).
% 50.27/33.21 tff(32383,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB41) | v243(constB41))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB41) | v255(constB41))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32382, 32380])).
% 50.27/33.21 tff(32384,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB41) | v243(constB41))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32385,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB41) | v255(constB41)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32384, 32383])).
% 50.27/33.21 tff(32386,plain,
% 50.27/33.21 (v255(constB41)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32385, 15416, 32379])).
% 50.27/33.21 tff(32387,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB41)) | (~v216(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB41)) | (~v216(constB41, 2)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32388,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB41)) | (~v216(constB41, 2)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32389,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB41)) | (~v216(constB41, 2))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32388, 32387])).
% 50.27/33.21 tff(32390,plain,
% 50.27/33.21 (~v216(constB41, 2)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32389, 15433, 32386])).
% 50.27/33.21 tff(32391,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB41, 2) | v254(constB41) | (~v215(constB41)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB41, 2) | v254(constB41) | (~v215(constB41)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32392,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB41, 2) | v254(constB41) | (~v215(constB41)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32393,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB41, 2) | v254(constB41) | (~v215(constB41))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32392, 32391])).
% 50.27/33.21 tff(32394,plain,
% 50.27/33.21 (v254(constB41) | (~v215(constB41))),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32393, 15447, 32390])).
% 50.27/33.21 tff(32395,plain,
% 50.27/33.21 (~v215(constB41)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32394, 32367])).
% 50.27/33.21 tff(32396,plain,
% 50.27/33.21 ($false),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32395, 32236])).
% 50.27/33.21 tff(32397,plain,(~(constB41 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.21 tff(32398,assumption,(constB7 = sK_VarCurr), introduced(assumption)).
% 50.27/33.21 tff(32399,plain,
% 50.27/33.21 (v215(constB7) <=> v215(sK_VarCurr)),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32398])).
% 50.27/33.21 tff(32400,plain,
% 50.27/33.21 (v215(sK_VarCurr) <=> v215(constB7)),
% 50.27/33.21 inference(symmetry,[status(thm)],[32399])).
% 50.27/33.21 tff(32401,plain,
% 50.27/33.21 (v215(constB7)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[34, 32400])).
% 50.27/33.21 tff(32402,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB7, 2)) | v90(constB7, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB7, 2)) | v90(constB7, 2))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32403,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB7, 2)) | v90(constB7, 2))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32404,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB7, 2)) | v90(constB7, 2)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32403, 32402])).
% 50.27/33.21 tff(32405,plain,
% 50.27/33.21 (~v88(constB7, 2)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32404, 26020, 1139])).
% 50.27/33.21 tff(32406,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB7, 1)) | v88(constB7, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB7, 1)) | v88(constB7, 1))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32407,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB7, 1)) | v88(constB7, 1))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32408,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB7, 1)) | v88(constB7, 1)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32407, 32406])).
% 50.27/33.21 tff(32409,plain,
% 50.27/33.21 (v88(constB7, 1)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32408, 15014, 1177])).
% 50.27/33.21 tff(32410,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB7, 0)) | v88(constB7, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB7, 0)) | v88(constB7, 0))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32411,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB7, 0)) | v88(constB7, 0))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32412,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB7, 0)) | v88(constB7, 0)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32411, 32410])).
% 50.27/33.21 tff(32413,plain,
% 50.27/33.21 (v88(constB7, 0)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32412, 26254, 1215])).
% 50.27/33.21 tff(32414,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32415,plain,
% 50.27/33.21 ((v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7)) <=> ((~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32416,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7)))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32415])).
% 50.27/33.21 tff(32417,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32416, 32414])).
% 50.27/33.21 tff(32418,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32419,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32418, 32417])).
% 50.27/33.21 tff(32420,plain,
% 50.27/33.21 (v141(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32419, 26268, 32413, 32409, 32405])).
% 50.27/33.21 tff(32421,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB7)) | v199(constB7))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB7)) | v199(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32422,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB7)) | v199(constB7))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32423,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB7)) | v199(constB7)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 50.27/33.21 tff(32424,plain,
% 50.27/33.21 (v199(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32423, 26282, 32420])).
% 50.27/33.21 tff(32425,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB7)) | v198(constB7))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB7)) | v198(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32426,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB7)) | v198(constB7))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32427,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB7)) | v198(constB7)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32426, 32425])).
% 50.27/33.21 tff(32428,plain,
% 50.27/33.21 (v198(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32427, 26293, 32424])).
% 50.27/33.21 tff(32429,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB7)) | (~v201(constB7)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB7)) | (~v201(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32430,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB7)) | (~v201(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32431,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB7)) | (~v201(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 50.27/33.21 tff(32432,plain,
% 50.27/33.21 (~v201(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32431, 15064, 32428])).
% 50.27/33.21 tff(32433,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB7) | (~v198(constB7)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB7) | (~v198(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32434,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB7) | (~v198(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32435,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB7) | (~v198(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32434, 32433])).
% 50.27/33.21 tff(32436,plain,
% 50.27/33.21 (v197(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32435, 15078, 32428])).
% 50.27/33.21 tff(32437,plain,
% 50.27/33.21 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB7) | (~v197(constB7)) | v201(constB7))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB7) | (~v197(constB7)) | v201(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32438,plain,
% 50.27/33.21 (((~v197(constB7)) | v201(constB7) | v227(constB7)) <=> (v227(constB7) | (~v197(constB7)) | v201(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32439,plain,
% 50.27/33.21 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB7)) | v201(constB7) | v227(constB7))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB7) | (~v197(constB7)) | v201(constB7)))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32438])).
% 50.27/33.21 tff(32440,plain,
% 50.27/33.21 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB7)) | v201(constB7) | v227(constB7))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB7) | (~v197(constB7)) | v201(constB7))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32439, 32437])).
% 50.27/33.21 tff(32441,plain,
% 50.27/33.21 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB7)) | v201(constB7) | v227(constB7))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32442,plain,
% 50.27/33.21 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB7) | (~v197(constB7)) | v201(constB7)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32441, 32440])).
% 50.27/33.21 tff(32443,plain,
% 50.27/33.21 (v227(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32442, 15092, 32436, 32432])).
% 50.27/33.21 tff(32444,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB7)) | (~v223(constB7, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB7)) | (~v223(constB7, 0)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32445,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB7)) | (~v223(constB7, 0)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32446,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB7)) | (~v223(constB7, 0))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32445, 32444])).
% 50.27/33.21 tff(32447,plain,
% 50.27/33.21 (~v223(constB7, 0)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32446, 15109, 32443])).
% 50.27/33.21 tff(32448,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB7)) | (~v199(constB7)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB7)) | (~v199(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32449,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB7)) | (~v199(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32450,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB7)) | (~v199(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32449, 32448])).
% 50.27/33.21 tff(32451,plain,
% 50.27/33.21 (~v183(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32450, 26326, 32424])).
% 50.27/33.21 tff(32452,plain,
% 50.27/33.21 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB7) | v183(constB7) | (~v197(constB7)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB7) | v183(constB7) | (~v197(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32453,plain,
% 50.27/33.21 (((~v197(constB7)) | v183(constB7) | v228(constB7)) <=> (v228(constB7) | v183(constB7) | (~v197(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32454,plain,
% 50.27/33.21 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB7)) | v183(constB7) | v228(constB7))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB7) | v183(constB7) | (~v197(constB7))))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32453])).
% 50.27/33.21 tff(32455,plain,
% 50.27/33.21 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB7)) | v183(constB7) | v228(constB7))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB7) | v183(constB7) | (~v197(constB7)))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32454, 32452])).
% 50.27/33.21 tff(32456,plain,
% 50.27/33.21 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB7)) | v183(constB7) | v228(constB7))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32457,plain,
% 50.27/33.21 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB7) | v183(constB7) | (~v197(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32456, 32455])).
% 50.27/33.21 tff(32458,plain,
% 50.27/33.21 (v228(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32457, 26340, 32436, 32451])).
% 50.27/33.21 tff(32459,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB7)) | (~v223(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB7)) | (~v223(constB7, 1)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32460,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB7)) | (~v223(constB7, 1)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32461,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB7)) | (~v223(constB7, 1))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32460, 32459])).
% 50.27/33.21 tff(32462,plain,
% 50.27/33.21 (~v223(constB7, 1)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32461, 26357, 32458])).
% 50.27/33.21 tff(32463,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB7, 1) | v223(constB7, 0) | (~v229(constB7)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB7, 1) | v223(constB7, 0) | (~v229(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32464,plain,
% 50.27/33.21 ((v223(constB7, 0) | v223(constB7, 1) | (~v229(constB7))) <=> (v223(constB7, 1) | v223(constB7, 0) | (~v229(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32465,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB7, 0) | v223(constB7, 1) | (~v229(constB7)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB7, 1) | v223(constB7, 0) | (~v229(constB7))))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32464])).
% 50.27/33.21 tff(32466,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB7, 0) | v223(constB7, 1) | (~v229(constB7)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB7, 1) | v223(constB7, 0) | (~v229(constB7)))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32465, 32463])).
% 50.27/33.21 tff(32467,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB7, 0) | v223(constB7, 1) | (~v229(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32468,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB7, 1) | v223(constB7, 0) | (~v229(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32467, 32466])).
% 50.27/33.21 tff(32469,plain,
% 50.27/33.21 (~v229(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32468, 26371, 32462, 32447])).
% 50.27/33.21 tff(32470,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB7) | (~v225(constB7)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB7) | (~v225(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32471,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB7) | (~v225(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32472,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB7) | (~v225(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32471, 32470])).
% 50.27/33.21 tff(32473,plain,
% 50.27/33.21 (~v225(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32472, 26388, 32469])).
% 50.27/33.21 tff(32474,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB7) | (~v224(constB7)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB7) | (~v224(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32475,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB7) | (~v224(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32476,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB7) | (~v224(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32475, 32474])).
% 50.27/33.21 tff(32477,plain,
% 50.27/33.21 (~v224(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32476, 26402, 32473])).
% 50.27/33.21 tff(32478,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB7)) | v223(constB7, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB7)) | v223(constB7, 1))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32479,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB7)) | v223(constB7, 1))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32480,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB7)) | v223(constB7, 1)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32479, 32478])).
% 50.27/33.21 tff(32481,plain,
% 50.27/33.21 (~v222(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32480, 26413, 32462])).
% 50.27/33.21 tff(32482,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB7) | v224(constB7) | (~v236(constB7)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB7) | v224(constB7) | (~v236(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32483,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB7) | v224(constB7) | (~v236(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32484,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB7) | v224(constB7) | (~v236(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32483, 32482])).
% 50.27/33.21 tff(32485,plain,
% 50.27/33.21 (v224(constB7) | (~v236(constB7))),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32484, 15241, 32481])).
% 50.27/33.21 tff(32486,plain,
% 50.27/33.21 (~v236(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32485, 32477])).
% 50.27/33.21 tff(32487,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB7) | (~v232(constB7)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB7) | (~v232(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32488,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB7) | (~v232(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32489,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB7) | (~v232(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32488, 32487])).
% 50.27/33.21 tff(32490,plain,
% 50.27/33.21 (~v232(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32489, 15255, 32486])).
% 50.27/33.21 tff(32491,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB7)) | (~v88(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB7)) | (~v88(constB7, 1)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32492,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB7)) | (~v88(constB7, 1)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32493,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB7)) | (~v88(constB7, 1))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32492, 32491])).
% 50.27/33.21 tff(32494,plain,
% 50.27/33.21 (~v140(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32493, 15142, 32409])).
% 50.27/33.21 tff(32495,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB7)) | (~v88(constB7, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB7)) | (~v88(constB7, 0)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32496,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB7)) | (~v88(constB7, 0)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32497,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB7)) | (~v88(constB7, 0))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32496, 32495])).
% 50.27/33.21 tff(32498,plain,
% 50.27/33.21 (~v139(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32497, 26437, 32413])).
% 50.27/33.21 tff(32499,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB7) | v140(constB7) | (~v148(constB7)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB7) | v140(constB7) | (~v148(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32500,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB7) | v140(constB7) | (~v148(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32501,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB7) | v140(constB7) | (~v148(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32500, 32499])).
% 50.27/33.21 tff(32502,plain,
% 50.27/33.21 (~v148(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32501, 15269, 32498, 32494])).
% 50.27/33.21 tff(32503,plain,
% 50.27/33.21 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB7) | v252(constB7) | (~v197(constB7)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB7) | v252(constB7) | (~v197(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32504,plain,
% 50.27/33.21 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB7) | v252(constB7) | (~v197(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32505,plain,
% 50.27/33.21 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB7) | v252(constB7) | (~v197(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32504, 32503])).
% 50.27/33.21 tff(32506,plain,
% 50.27/33.21 (v252(constB7) | (~v197(constB7))),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32505, 15283, 32502])).
% 50.27/33.21 tff(32507,plain,
% 50.27/33.21 (v252(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32506, 32436])).
% 50.27/33.21 tff(32508,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB7)) | (~v223(constB7, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB7)) | (~v223(constB7, 3)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32509,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB7)) | (~v223(constB7, 3)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32510,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB7)) | (~v223(constB7, 3))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32509, 32508])).
% 50.27/33.21 tff(32511,plain,
% 50.27/33.21 (~v223(constB7, 3)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32510, 15298, 32507])).
% 50.27/33.21 tff(32512,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB7)) | v223(constB7, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB7)) | v223(constB7, 3))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32513,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB7)) | v223(constB7, 3))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32514,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB7)) | v223(constB7, 3)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32513, 32512])).
% 50.27/33.21 tff(32515,plain,
% 50.27/33.21 (~v237(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32514, 15309, 32511])).
% 50.27/33.21 tff(32516,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB7) | v237(constB7) | (~v248(constB7)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB7) | v237(constB7) | (~v248(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32517,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB7) | v237(constB7) | (~v248(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32518,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB7) | v237(constB7) | (~v248(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32517, 32516])).
% 50.27/33.21 tff(32519,plain,
% 50.27/33.21 (v232(constB7) | (~v248(constB7))),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32518, 15323, 32515])).
% 50.27/33.21 tff(32520,plain,
% 50.27/33.21 (~v248(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32519, 32490])).
% 50.27/33.21 tff(32521,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB7) | (~v244(constB7)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB7) | (~v244(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32522,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB7) | (~v244(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32523,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB7) | (~v244(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32522, 32521])).
% 50.27/33.21 tff(32524,plain,
% 50.27/33.21 (~v244(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32523, 15338, 32520])).
% 50.27/33.21 tff(32525,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB7) | (~v216(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB7) | (~v216(constB7, 1)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32526,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB7) | (~v216(constB7, 1)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32527,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB7) | (~v216(constB7, 1))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32526, 32525])).
% 50.27/33.21 tff(32528,plain,
% 50.27/33.21 (~v216(constB7, 1)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32527, 15352, 32524])).
% 50.27/33.21 tff(32529,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB7)) | v216(constB7, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB7)) | v216(constB7, 1))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32530,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB7)) | v216(constB7, 1))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32531,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB7)) | v216(constB7, 1)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32530, 32529])).
% 50.27/33.21 tff(32532,plain,
% 50.27/33.21 (~v254(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32531, 15363, 32528])).
% 50.27/33.21 tff(32533,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB7) | (~v231(constB7)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB7) | (~v231(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32534,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB7) | (~v231(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32535,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB7) | (~v231(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32534, 32533])).
% 50.27/33.21 tff(32536,plain,
% 50.27/33.21 (~v231(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32535, 15391, 32515])).
% 50.27/33.21 tff(32537,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB7) | (~v221(constB7)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB7) | (~v221(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32538,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB7) | (~v221(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32539,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB7) | (~v221(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32538, 32537])).
% 50.27/33.21 tff(32540,plain,
% 50.27/33.21 (~v221(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32539, 26489, 32481])).
% 50.27/33.21 tff(32541,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB7) | v231(constB7) | (~v243(constB7)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB7) | v231(constB7) | (~v243(constB7)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32542,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB7) | v231(constB7) | (~v243(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32543,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB7) | v231(constB7) | (~v243(constB7))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32542, 32541])).
% 50.27/33.21 tff(32544,plain,
% 50.27/33.21 (~v243(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32543, 15405, 32540, 32536])).
% 50.27/33.21 tff(32545,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB7) | v255(constB7))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB7) | v255(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32546,plain,
% 50.27/33.21 ((v255(constB7) | v243(constB7)) <=> (v243(constB7) | v255(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32547,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB7) | v243(constB7))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB7) | v255(constB7)))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32546])).
% 50.27/33.21 tff(32548,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB7) | v243(constB7))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB7) | v255(constB7))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32547, 32545])).
% 50.27/33.21 tff(32549,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB7) | v243(constB7))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32550,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB7) | v255(constB7)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32549, 32548])).
% 50.27/33.21 tff(32551,plain,
% 50.27/33.21 (v255(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32550, 15416, 32544])).
% 50.27/33.21 tff(32552,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB7)) | (~v216(constB7, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB7)) | (~v216(constB7, 2)))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32553,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB7)) | (~v216(constB7, 2)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32554,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB7)) | (~v216(constB7, 2))),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32553, 32552])).
% 50.27/33.21 tff(32555,plain,
% 50.27/33.21 (~v216(constB7, 2)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32554, 15433, 32551])).
% 50.27/33.21 tff(32556,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, 2) | (~v215(constB7)) | v254(constB7))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB7, 2) | (~v215(constB7)) | v254(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32557,plain,
% 50.27/33.21 ((v216(constB7, 2) | v254(constB7) | (~v215(constB7))) <=> (v216(constB7, 2) | (~v215(constB7)) | v254(constB7))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32558,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, 2) | v254(constB7) | (~v215(constB7)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, 2) | (~v215(constB7)) | v254(constB7)))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32557])).
% 50.27/33.21 tff(32559,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, 2) | v254(constB7) | (~v215(constB7)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB7, 2) | (~v215(constB7)) | v254(constB7))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32558, 32556])).
% 50.27/33.21 tff(32560,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, 2) | v254(constB7) | (~v215(constB7)))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32561,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB7, 2) | (~v215(constB7)) | v254(constB7)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32560, 32559])).
% 50.27/33.21 tff(32562,plain,
% 50.27/33.21 ((~v215(constB7)) | v254(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32561, 15447, 32555])).
% 50.27/33.21 tff(32563,plain,
% 50.27/33.21 (~v215(constB7)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32562, 32532])).
% 50.27/33.21 tff(32564,plain,
% 50.27/33.21 ($false),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32563, 32401])).
% 50.27/33.21 tff(32565,plain,(~(constB7 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.21 tff(32566,assumption,(constB135 = sK_VarCurr), introduced(assumption)).
% 50.27/33.21 tff(32567,plain,
% 50.27/33.21 (v215(constB135) <=> v215(sK_VarCurr)),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32566])).
% 50.27/33.21 tff(32568,plain,
% 50.27/33.21 (v215(sK_VarCurr) <=> v215(constB135)),
% 50.27/33.21 inference(symmetry,[status(thm)],[32567])).
% 50.27/33.21 tff(32569,plain,
% 50.27/33.21 (v215(constB135)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[34, 32568])).
% 50.27/33.21 tff(32570,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB135, 2)) | v90(constB135, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB135, 2)) | v90(constB135, 2))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32571,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB135, 2)) | v90(constB135, 2))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32572,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB135, 2)) | v90(constB135, 2)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32571, 32570])).
% 50.27/33.21 tff(32573,plain,
% 50.27/33.21 (~v88(constB135, 2)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32572, 26020, 17540])).
% 50.27/33.21 tff(32574,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB135, 1)) | v90(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB135, 1)) | v90(constB135, 1))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32575,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB135, 1)) | v90(constB135, 1))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32576,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB135, 1)) | v90(constB135, 1)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32575, 32574])).
% 50.27/33.21 tff(32577,plain,
% 50.27/33.21 (~v88(constB135, 1)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32576, 26697, 17574])).
% 50.27/33.21 tff(32578,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB135, 0)) | v88(constB135, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB135, 0)) | v88(constB135, 0))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32579,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB135, 0)) | v88(constB135, 0))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32580,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB135, 0)) | v88(constB135, 0)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32579, 32578])).
% 50.27/33.21 tff(32581,plain,
% 50.27/33.21 (v88(constB135, 0)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32580, 26254, 17605])).
% 50.27/33.21 tff(32582,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB135, 1) | v88(constB135, 2) | (~v88(constB135, 0)) | v140(constB135))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB135, 1) | v88(constB135, 2) | (~v88(constB135, 0)) | v140(constB135))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32583,plain,
% 50.27/33.21 ((v88(constB135, 2) | v88(constB135, 1) | (~v88(constB135, 0)) | v140(constB135)) <=> (v88(constB135, 1) | v88(constB135, 2) | (~v88(constB135, 0)) | v140(constB135))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32584,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB135, 2) | v88(constB135, 1) | (~v88(constB135, 0)) | v140(constB135))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB135, 1) | v88(constB135, 2) | (~v88(constB135, 0)) | v140(constB135)))),
% 50.27/33.21 inference(monotonicity,[status(thm)],[32583])).
% 50.27/33.21 tff(32585,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB135, 2) | v88(constB135, 1) | (~v88(constB135, 0)) | v140(constB135))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB135, 1) | v88(constB135, 2) | (~v88(constB135, 0)) | v140(constB135))),
% 50.27/33.21 inference(transitivity,[status(thm)],[32584, 32582])).
% 50.27/33.21 tff(32586,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB135, 2) | v88(constB135, 1) | (~v88(constB135, 0)) | v140(constB135))),
% 50.27/33.21 inference(quant_inst,[status(thm)],[])).
% 50.27/33.21 tff(32587,plain,
% 50.27/33.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB135, 1) | v88(constB135, 2) | (~v88(constB135, 0)) | v140(constB135)),
% 50.27/33.21 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 50.27/33.21 tff(32588,plain,
% 50.27/33.21 (v140(constB135)),
% 50.27/33.21 inference(unit_resolution,[status(thm)],[32587, 26719, 32581, 32577, 32573])).
% 50.27/33.21 tff(32589,plain,
% 50.27/33.21 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB135)) | v200(constB135))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB135)) | v200(constB135))),
% 50.27/33.21 inference(rewrite,[status(thm)],[])).
% 50.27/33.21 tff(32590,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB135)) | v200(constB135))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32591,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB135)) | v200(constB135)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32590, 32589])).
% 50.27/33.22 tff(32592,plain,
% 50.27/33.22 (v200(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32591, 26731, 32588])).
% 50.27/33.22 tff(32593,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB135)) | v199(constB135))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB135)) | v199(constB135))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32594,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB135)) | v199(constB135))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32595,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB135)) | v199(constB135)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32594, 32593])).
% 50.27/33.22 tff(32596,plain,
% 50.27/33.22 (v199(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32595, 26742, 32592])).
% 50.27/33.22 tff(32597,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB135)) | v198(constB135))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB135)) | v198(constB135))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32598,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB135)) | v198(constB135))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32599,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB135)) | v198(constB135)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32598, 32597])).
% 50.27/33.22 tff(32600,plain,
% 50.27/33.22 (v198(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32599, 26293, 32596])).
% 50.27/33.22 tff(32601,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB135)) | (~v201(constB135)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB135)) | (~v201(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32602,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB135)) | (~v201(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32603,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB135)) | (~v201(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32602, 32601])).
% 50.27/33.22 tff(32604,plain,
% 50.27/33.22 (~v201(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32603, 15064, 32600])).
% 50.27/33.22 tff(32605,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB135) | (~v198(constB135)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB135) | (~v198(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32606,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB135) | (~v198(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32607,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB135) | (~v198(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32606, 32605])).
% 50.27/33.22 tff(32608,plain,
% 50.27/33.22 (v197(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32607, 15078, 32600])).
% 50.27/33.22 tff(32609,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB135) | v201(constB135) | (~v197(constB135)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | v201(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32610,plain,
% 50.27/33.22 (((~v197(constB135)) | v201(constB135) | v227(constB135)) <=> (v227(constB135) | v201(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32611,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB135) | v201(constB135) | (~v197(constB135))))),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32610])).
% 50.27/33.22 tff(32612,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | v201(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(transitivity,[status(thm)],[32611, 32609])).
% 50.27/33.22 tff(32613,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32614,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | v201(constB135) | (~v197(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32613, 32612])).
% 50.27/33.22 tff(32615,plain,
% 50.27/33.22 (v227(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32614, 15092, 32608, 32604])).
% 50.27/33.22 tff(32616,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB135)) | (~v223(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB135)) | (~v223(constB135, 0)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32617,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB135)) | (~v223(constB135, 0)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32618,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB135)) | (~v223(constB135, 0))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 50.27/33.22 tff(32619,plain,
% 50.27/33.22 (~v223(constB135, 0)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32618, 15109, 32615])).
% 50.27/33.22 tff(32620,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB135)) | (~v199(constB135)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB135)) | (~v199(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32621,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB135)) | (~v199(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32622,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB135)) | (~v199(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32621, 32620])).
% 50.27/33.22 tff(32623,plain,
% 50.27/33.22 (~v183(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32622, 26326, 32596])).
% 50.27/33.22 tff(32624,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB135) | v183(constB135) | (~v197(constB135)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB135) | v183(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32625,plain,
% 50.27/33.22 (((~v197(constB135)) | v183(constB135) | v228(constB135)) <=> (v228(constB135) | v183(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32626,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB135)) | v183(constB135) | v228(constB135))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB135) | v183(constB135) | (~v197(constB135))))),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32625])).
% 50.27/33.22 tff(32627,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB135)) | v183(constB135) | v228(constB135))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB135) | v183(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(transitivity,[status(thm)],[32626, 32624])).
% 50.27/33.22 tff(32628,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB135)) | v183(constB135) | v228(constB135))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32629,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB135) | v183(constB135) | (~v197(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32628, 32627])).
% 50.27/33.22 tff(32630,plain,
% 50.27/33.22 (v228(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32629, 26340, 32608, 32623])).
% 50.27/33.22 tff(32631,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB135)) | (~v223(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB135)) | (~v223(constB135, 1)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32632,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB135)) | (~v223(constB135, 1)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32633,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB135)) | (~v223(constB135, 1))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32632, 32631])).
% 50.27/33.22 tff(32634,plain,
% 50.27/33.22 (~v223(constB135, 1)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32633, 26357, 32630])).
% 50.27/33.22 tff(32635,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB135, 1) | v223(constB135, 0) | (~v229(constB135)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB135, 1) | v223(constB135, 0) | (~v229(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32636,plain,
% 50.27/33.22 ((v223(constB135, 0) | v223(constB135, 1) | (~v229(constB135))) <=> (v223(constB135, 1) | v223(constB135, 0) | (~v229(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32637,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB135, 0) | v223(constB135, 1) | (~v229(constB135)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB135, 1) | v223(constB135, 0) | (~v229(constB135))))),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32636])).
% 50.27/33.22 tff(32638,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB135, 0) | v223(constB135, 1) | (~v229(constB135)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB135, 1) | v223(constB135, 0) | (~v229(constB135)))),
% 50.27/33.22 inference(transitivity,[status(thm)],[32637, 32635])).
% 50.27/33.22 tff(32639,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB135, 0) | v223(constB135, 1) | (~v229(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32640,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB135, 1) | v223(constB135, 0) | (~v229(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32639, 32638])).
% 50.27/33.22 tff(32641,plain,
% 50.27/33.22 (~v229(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32640, 26371, 32634, 32619])).
% 50.27/33.22 tff(32642,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB135) | (~v225(constB135)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB135) | (~v225(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32643,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB135) | (~v225(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32644,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB135) | (~v225(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32643, 32642])).
% 50.27/33.22 tff(32645,plain,
% 50.27/33.22 (~v225(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32644, 26388, 32641])).
% 50.27/33.22 tff(32646,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB135)) | (~v200(constB135)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB135)) | (~v200(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32647,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB135)) | (~v200(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32648,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB135)) | (~v200(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32647, 32646])).
% 50.27/33.22 tff(32649,plain,
% 50.27/33.22 (~v166(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32648, 26805, 32592])).
% 50.27/33.22 tff(32650,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB135) | v166(constB135) | (~v197(constB135)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB135) | v166(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32651,plain,
% 50.27/33.22 (((~v197(constB135)) | v166(constB135) | v241(constB135)) <=> (v241(constB135) | v166(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32652,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB135)) | v166(constB135) | v241(constB135))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB135) | v166(constB135) | (~v197(constB135))))),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32651])).
% 50.27/33.22 tff(32653,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB135)) | v166(constB135) | v241(constB135))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB135) | v166(constB135) | (~v197(constB135)))),
% 50.27/33.22 inference(transitivity,[status(thm)],[32652, 32650])).
% 50.27/33.22 tff(32654,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB135)) | v166(constB135) | v241(constB135))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32655,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB135) | v166(constB135) | (~v197(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32654, 32653])).
% 50.27/33.22 tff(32656,plain,
% 50.27/33.22 (v241(constB135) | (~v197(constB135))),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32655, 15198, 32649])).
% 50.27/33.22 tff(32657,plain,
% 50.27/33.22 (v241(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32656, 32608])).
% 50.27/33.22 tff(32658,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB135)) | (~v223(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB135)) | (~v223(constB135, 2)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32659,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB135)) | (~v223(constB135, 2)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32660,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB135)) | (~v223(constB135, 2))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32659, 32658])).
% 50.27/33.22 tff(32661,plain,
% 50.27/33.22 (~v223(constB135, 2)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32660, 15216, 32657])).
% 50.27/33.22 tff(32662,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB135) | v223(constB135, 2) | (~v242(constB135)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB135) | v223(constB135, 2) | (~v242(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32663,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB135) | v223(constB135, 2) | (~v242(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32664,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB135) | v223(constB135, 2) | (~v242(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32663, 32662])).
% 50.27/33.22 tff(32665,plain,
% 50.27/33.22 (v225(constB135) | (~v242(constB135))),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32664, 26831, 32661])).
% 50.27/33.22 tff(32666,plain,
% 50.27/33.22 (~v242(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32665, 32645])).
% 50.27/33.22 tff(32667,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB135) | (~v238(constB135)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB135) | (~v238(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32668,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB135) | (~v238(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32669,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB135) | (~v238(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32668, 32667])).
% 50.27/33.22 tff(32670,plain,
% 50.27/33.22 (~v238(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32669, 26846, 32666])).
% 50.27/33.22 tff(32671,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB135) | (~v237(constB135)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB135) | (~v237(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32672,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB135) | (~v237(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32673,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB135) | (~v237(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32672, 32671])).
% 50.27/33.22 tff(32674,plain,
% 50.27/33.22 (~v237(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32673, 26860, 32670])).
% 50.27/33.22 tff(32675,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB135)) | v223(constB135, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB135)) | v223(constB135, 2))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32676,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB135)) | v223(constB135, 2))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32677,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB135)) | v223(constB135, 2)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32676, 32675])).
% 50.27/33.22 tff(32678,plain,
% 50.27/33.22 (~v224(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32677, 15227, 32661])).
% 50.27/33.22 tff(32679,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB135)) | v223(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB135)) | v223(constB135, 1))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32680,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB135)) | v223(constB135, 1))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32681,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB135)) | v223(constB135, 1)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32680, 32679])).
% 50.27/33.22 tff(32682,plain,
% 50.27/33.22 (~v222(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32681, 26413, 32634])).
% 50.27/33.22 tff(32683,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB135) | v224(constB135) | (~v236(constB135)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB135) | v224(constB135) | (~v236(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32684,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB135) | v224(constB135) | (~v236(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32685,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB135) | v224(constB135) | (~v236(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32684, 32683])).
% 50.27/33.22 tff(32686,plain,
% 50.27/33.22 (~v236(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32685, 15241, 32682, 32678])).
% 50.27/33.22 tff(32687,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB135) | (~v232(constB135)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB135) | (~v232(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32688,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB135) | (~v232(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32689,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB135) | (~v232(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32688, 32687])).
% 50.27/33.22 tff(32690,plain,
% 50.27/33.22 (~v232(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32689, 15255, 32686])).
% 50.27/33.22 tff(32691,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB135) | v237(constB135) | (~v248(constB135)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB135) | v237(constB135) | (~v248(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32692,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB135) | v237(constB135) | (~v248(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32693,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB135) | v237(constB135) | (~v248(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32692, 32691])).
% 50.27/33.22 tff(32694,plain,
% 50.27/33.22 (v237(constB135) | (~v248(constB135))),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32693, 15323, 32690])).
% 50.27/33.22 tff(32695,plain,
% 50.27/33.22 (~v248(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32694, 32674])).
% 50.27/33.22 tff(32696,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB135) | (~v244(constB135)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB135) | (~v244(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32697,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB135) | (~v244(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32698,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB135) | (~v244(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32697, 32696])).
% 50.27/33.22 tff(32699,plain,
% 50.27/33.22 (~v244(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32698, 15338, 32695])).
% 50.27/33.22 tff(32700,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB135) | (~v216(constB135, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB135) | (~v216(constB135, 1)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32701,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB135) | (~v216(constB135, 1)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32702,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB135) | (~v216(constB135, 1))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32701, 32700])).
% 50.27/33.22 tff(32703,plain,
% 50.27/33.22 (~v216(constB135, 1)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32702, 15352, 32699])).
% 50.27/33.22 tff(32704,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB135)) | v216(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB135)) | v216(constB135, 1))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32705,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB135)) | v216(constB135, 1))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32706,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB135)) | v216(constB135, 1)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32705, 32704])).
% 50.27/33.22 tff(32707,plain,
% 50.27/33.22 (~v254(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32706, 15363, 32703])).
% 50.27/33.22 tff(32708,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB135) | (~v231(constB135)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB135) | (~v231(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32709,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB135) | (~v231(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32710,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB135) | (~v231(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32709, 32708])).
% 50.27/33.22 tff(32711,plain,
% 50.27/33.22 (~v231(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32710, 26907, 32690])).
% 50.27/33.22 tff(32712,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB135) | (~v221(constB135)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB135) | (~v221(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32713,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB135) | (~v221(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32714,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB135) | (~v221(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32713, 32712])).
% 50.27/33.22 tff(32715,plain,
% 50.27/33.22 (~v221(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32714, 26489, 32682])).
% 50.27/33.22 tff(32716,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB135) | v231(constB135) | (~v243(constB135)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB135) | v231(constB135) | (~v243(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32717,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB135) | v231(constB135) | (~v243(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32718,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB135) | v231(constB135) | (~v243(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32717, 32716])).
% 50.27/33.22 tff(32719,plain,
% 50.27/33.22 (v231(constB135) | (~v243(constB135))),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32718, 15405, 32715])).
% 50.27/33.22 tff(32720,plain,
% 50.27/33.22 (~v243(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32719, 32711])).
% 50.27/33.22 tff(32721,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB135) | v255(constB135))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB135) | v255(constB135))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32722,plain,
% 50.27/33.22 ((v255(constB135) | v243(constB135)) <=> (v243(constB135) | v255(constB135))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32723,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB135) | v243(constB135))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB135) | v255(constB135)))),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32722])).
% 50.27/33.22 tff(32724,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB135) | v243(constB135))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB135) | v255(constB135))),
% 50.27/33.22 inference(transitivity,[status(thm)],[32723, 32721])).
% 50.27/33.22 tff(32725,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB135) | v243(constB135))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32726,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB135) | v255(constB135)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32725, 32724])).
% 50.27/33.22 tff(32727,plain,
% 50.27/33.22 (v255(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32726, 15416, 32720])).
% 50.27/33.22 tff(32728,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB135)) | (~v216(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB135)) | (~v216(constB135, 2)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32729,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB135)) | (~v216(constB135, 2)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32730,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB135)) | (~v216(constB135, 2))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32729, 32728])).
% 50.27/33.22 tff(32731,plain,
% 50.27/33.22 (~v216(constB135, 2)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32730, 15433, 32727])).
% 50.27/33.22 tff(32732,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, 2) | v254(constB135) | (~v215(constB135)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB135, 2) | v254(constB135) | (~v215(constB135)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32733,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, 2) | v254(constB135) | (~v215(constB135)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32734,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB135, 2) | v254(constB135) | (~v215(constB135))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32733, 32732])).
% 50.27/33.22 tff(32735,plain,
% 50.27/33.22 (v254(constB135) | (~v215(constB135))),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32734, 15447, 32731])).
% 50.27/33.22 tff(32736,plain,
% 50.27/33.22 (~v215(constB135)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32735, 32707])).
% 50.27/33.22 tff(32737,plain,
% 50.27/33.22 ($false),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32736, 32569])).
% 50.27/33.22 tff(32738,plain,(~(constB135 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.22 tff(32739,assumption,(constB51 = sK_VarCurr), introduced(assumption)).
% 50.27/33.22 tff(32740,plain,
% 50.27/33.22 (v215(constB51) <=> v215(sK_VarCurr)),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32739])).
% 50.27/33.22 tff(32741,plain,
% 50.27/33.22 (v215(sK_VarCurr) <=> v215(constB51)),
% 50.27/33.22 inference(symmetry,[status(thm)],[32740])).
% 50.27/33.22 tff(32742,plain,
% 50.27/33.22 (v215(constB51)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[34, 32741])).
% 50.27/33.22 tff(32743,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB51, 2)) | v90(constB51, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB51, 2)) | v90(constB51, 2))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32744,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB51, 2)) | v90(constB51, 2))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32745,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB51, 2)) | v90(constB51, 2)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32744, 32743])).
% 50.27/33.22 tff(32746,plain,
% 50.27/33.22 (~v88(constB51, 2)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32745, 26020, 6432])).
% 50.27/33.22 tff(32747,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB51, 1)) | v90(constB51, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB51, 1)) | v90(constB51, 1))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32748,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB51, 1)) | v90(constB51, 1))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32749,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB51, 1)) | v90(constB51, 1)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32748, 32747])).
% 50.27/33.22 tff(32750,plain,
% 50.27/33.22 (~v88(constB51, 1)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32749, 26697, 6465])).
% 50.27/33.22 tff(32751,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB51, 0)) | v88(constB51, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB51, 0)) | v88(constB51, 0))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32752,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB51, 0)) | v88(constB51, 0))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32753,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB51, 0)) | v88(constB51, 0)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32752, 32751])).
% 50.27/33.22 tff(32754,plain,
% 50.27/33.22 (v88(constB51, 0)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32753, 26254, 6495])).
% 50.27/33.22 tff(32755,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB51, 0)) | v140(constB51) | v88(constB51, 2) | v88(constB51, 1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB51, 0)) | v140(constB51) | v88(constB51, 2) | v88(constB51, 1))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32756,plain,
% 50.27/33.22 ((v88(constB51, 2) | v88(constB51, 1) | (~v88(constB51, 0)) | v140(constB51)) <=> ((~v88(constB51, 0)) | v140(constB51) | v88(constB51, 2) | v88(constB51, 1))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32757,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB51, 2) | v88(constB51, 1) | (~v88(constB51, 0)) | v140(constB51))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB51, 0)) | v140(constB51) | v88(constB51, 2) | v88(constB51, 1)))),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32756])).
% 50.27/33.22 tff(32758,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB51, 2) | v88(constB51, 1) | (~v88(constB51, 0)) | v140(constB51))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB51, 0)) | v140(constB51) | v88(constB51, 2) | v88(constB51, 1))),
% 50.27/33.22 inference(transitivity,[status(thm)],[32757, 32755])).
% 50.27/33.22 tff(32759,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB51, 2) | v88(constB51, 1) | (~v88(constB51, 0)) | v140(constB51))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32760,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB51, 0)) | v140(constB51) | v88(constB51, 2) | v88(constB51, 1)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32759, 32758])).
% 50.27/33.22 tff(32761,plain,
% 50.27/33.22 (v140(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32760, 26719, 32754, 32750, 32746])).
% 50.27/33.22 tff(32762,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB51)) | v200(constB51))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB51)) | v200(constB51))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32763,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB51)) | v200(constB51))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32764,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB51)) | v200(constB51)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32763, 32762])).
% 50.27/33.22 tff(32765,plain,
% 50.27/33.22 (v200(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32764, 26731, 32761])).
% 50.27/33.22 tff(32766,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB51)) | v199(constB51))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB51)) | v199(constB51))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32767,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB51)) | v199(constB51))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32768,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB51)) | v199(constB51)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32767, 32766])).
% 50.27/33.22 tff(32769,plain,
% 50.27/33.22 (v199(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32768, 26742, 32765])).
% 50.27/33.22 tff(32770,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB51)) | v198(constB51))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB51)) | v198(constB51))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32771,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB51)) | v198(constB51))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32772,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB51)) | v198(constB51)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32771, 32770])).
% 50.27/33.22 tff(32773,plain,
% 50.27/33.22 (v198(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32772, 26293, 32769])).
% 50.27/33.22 tff(32774,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB51)) | (~v201(constB51)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB51)) | (~v201(constB51)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32775,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB51)) | (~v201(constB51)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32776,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB51)) | (~v201(constB51))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 50.27/33.22 tff(32777,plain,
% 50.27/33.22 (~v201(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32776, 15064, 32773])).
% 50.27/33.22 tff(32778,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB51) | (~v198(constB51)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB51) | (~v198(constB51)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32779,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB51) | (~v198(constB51)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32780,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB51) | (~v198(constB51))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 50.27/33.22 tff(32781,plain,
% 50.27/33.22 (v197(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32780, 15078, 32773])).
% 50.27/33.22 tff(32782,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB51) | (~v197(constB51)) | v201(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | (~v197(constB51)) | v201(constB51))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32783,plain,
% 50.27/33.22 (((~v197(constB51)) | v201(constB51) | v227(constB51)) <=> (v227(constB51) | (~v197(constB51)) | v201(constB51))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32784,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB51) | (~v197(constB51)) | v201(constB51)))),
% 50.27/33.22 inference(monotonicity,[status(thm)],[32783])).
% 50.27/33.22 tff(32785,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | (~v197(constB51)) | v201(constB51))),
% 50.27/33.22 inference(transitivity,[status(thm)],[32784, 32782])).
% 50.27/33.22 tff(32786,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32787,plain,
% 50.27/33.22 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | (~v197(constB51)) | v201(constB51)),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32786, 32785])).
% 50.27/33.22 tff(32788,plain,
% 50.27/33.22 (v227(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32787, 15092, 32781, 32777])).
% 50.27/33.22 tff(32789,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB51)) | (~v223(constB51, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB51)) | (~v223(constB51, 0)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32790,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB51)) | (~v223(constB51, 0)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32791,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB51)) | (~v223(constB51, 0))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32790, 32789])).
% 50.27/33.22 tff(32792,plain,
% 50.27/33.22 (~v223(constB51, 0)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32791, 15109, 32788])).
% 50.27/33.22 tff(32793,plain,
% 50.27/33.22 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB51)) | (~v199(constB51)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB51)) | (~v199(constB51)))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32794,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB51)) | (~v199(constB51)))),
% 50.27/33.22 inference(quant_inst,[status(thm)],[])).
% 50.27/33.22 tff(32795,plain,
% 50.27/33.22 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB51)) | (~v199(constB51))),
% 50.27/33.22 inference(modus_ponens,[status(thm)],[32794, 32793])).
% 50.27/33.22 tff(32796,plain,
% 50.27/33.22 (~v183(constB51)),
% 50.27/33.22 inference(unit_resolution,[status(thm)],[32795, 26326, 32769])).
% 50.27/33.22 tff(32797,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB51) | (~v197(constB51)) | v183(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | (~v197(constB51)) | v183(constB51))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32798,plain,
% 50.27/33.22 (((~v197(constB51)) | v183(constB51) | v228(constB51)) <=> (v228(constB51) | (~v197(constB51)) | v183(constB51))),
% 50.27/33.22 inference(rewrite,[status(thm)],[])).
% 50.27/33.22 tff(32799,plain,
% 50.27/33.22 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB51) | (~v197(constB51)) | v183(constB51)))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32798])).
% 50.27/33.23 tff(32800,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | (~v197(constB51)) | v183(constB51))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32799, 32797])).
% 50.27/33.23 tff(32801,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32802,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | (~v197(constB51)) | v183(constB51)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32801, 32800])).
% 50.27/33.23 tff(32803,plain,
% 50.27/33.23 (v228(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32802, 26340, 32781, 32796])).
% 50.27/33.23 tff(32804,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB51)) | (~v223(constB51, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB51)) | (~v223(constB51, 1)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32805,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB51)) | (~v223(constB51, 1)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32806,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB51)) | (~v223(constB51, 1))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32805, 32804])).
% 50.27/33.23 tff(32807,plain,
% 50.27/33.23 (~v223(constB51, 1)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32806, 26357, 32803])).
% 50.27/33.23 tff(32808,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB51, 0) | v223(constB51, 1) | (~v229(constB51)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB51, 0) | v223(constB51, 1) | (~v229(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32809,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB51, 0) | v223(constB51, 1) | (~v229(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32810,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB51, 0) | v223(constB51, 1) | (~v229(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32809, 32808])).
% 50.27/33.23 tff(32811,plain,
% 50.27/33.23 (~v229(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32810, 26371, 32807, 32792])).
% 50.27/33.23 tff(32812,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB51) | (~v225(constB51)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB51) | (~v225(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32813,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB51) | (~v225(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32814,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB51) | (~v225(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32813, 32812])).
% 50.27/33.23 tff(32815,plain,
% 50.27/33.23 (~v225(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32814, 26388, 32811])).
% 50.27/33.23 tff(32816,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB51)) | (~v200(constB51)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB51)) | (~v200(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32817,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB51)) | (~v200(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32818,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB51)) | (~v200(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32817, 32816])).
% 50.27/33.23 tff(32819,plain,
% 50.27/33.23 (~v166(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32818, 26805, 32765])).
% 50.27/33.23 tff(32820,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB51) | v166(constB51) | (~v197(constB51)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB51) | v166(constB51) | (~v197(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32821,plain,
% 50.27/33.23 (((~v197(constB51)) | v166(constB51) | v241(constB51)) <=> (v241(constB51) | v166(constB51) | (~v197(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32822,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB51)) | v166(constB51) | v241(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB51) | v166(constB51) | (~v197(constB51))))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32821])).
% 50.27/33.23 tff(32823,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB51)) | v166(constB51) | v241(constB51))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB51) | v166(constB51) | (~v197(constB51)))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32822, 32820])).
% 50.27/33.23 tff(32824,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB51)) | v166(constB51) | v241(constB51))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32825,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB51) | v166(constB51) | (~v197(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 50.27/33.23 tff(32826,plain,
% 50.27/33.23 (v241(constB51) | (~v197(constB51))),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32825, 15198, 32819])).
% 50.27/33.23 tff(32827,plain,
% 50.27/33.23 (v241(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32826, 32781])).
% 50.27/33.23 tff(32828,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB51)) | (~v223(constB51, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB51)) | (~v223(constB51, 2)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32829,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB51)) | (~v223(constB51, 2)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32830,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB51)) | (~v223(constB51, 2))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32829, 32828])).
% 50.27/33.23 tff(32831,plain,
% 50.27/33.23 (~v223(constB51, 2)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32830, 15216, 32827])).
% 50.27/33.23 tff(32832,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB51, 2) | (~v242(constB51)) | v225(constB51))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB51, 2) | (~v242(constB51)) | v225(constB51))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32833,plain,
% 50.27/33.23 ((v225(constB51) | v223(constB51, 2) | (~v242(constB51))) <=> (v223(constB51, 2) | (~v242(constB51)) | v225(constB51))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32834,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB51) | v223(constB51, 2) | (~v242(constB51)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB51, 2) | (~v242(constB51)) | v225(constB51)))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32833])).
% 50.27/33.23 tff(32835,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB51) | v223(constB51, 2) | (~v242(constB51)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB51, 2) | (~v242(constB51)) | v225(constB51))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32834, 32832])).
% 50.27/33.23 tff(32836,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB51) | v223(constB51, 2) | (~v242(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32837,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB51, 2) | (~v242(constB51)) | v225(constB51)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 50.27/33.23 tff(32838,plain,
% 50.27/33.23 ((~v242(constB51)) | v225(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32837, 26831, 32831])).
% 50.27/33.23 tff(32839,plain,
% 50.27/33.23 (~v242(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32838, 32815])).
% 50.27/33.23 tff(32840,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB51) | (~v238(constB51)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB51) | (~v238(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32841,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB51) | (~v238(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32842,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB51) | (~v238(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32841, 32840])).
% 50.27/33.23 tff(32843,plain,
% 50.27/33.23 (~v238(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32842, 26846, 32839])).
% 50.27/33.23 tff(32844,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB51) | (~v237(constB51)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB51) | (~v237(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32845,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB51) | (~v237(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32846,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB51) | (~v237(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32845, 32844])).
% 50.27/33.23 tff(32847,plain,
% 50.27/33.23 (~v237(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32846, 26860, 32843])).
% 50.27/33.23 tff(32848,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB51)) | v223(constB51, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB51)) | v223(constB51, 2))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32849,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB51)) | v223(constB51, 2))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32850,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB51)) | v223(constB51, 2)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 50.27/33.23 tff(32851,plain,
% 50.27/33.23 (~v224(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32850, 15227, 32831])).
% 50.27/33.23 tff(32852,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB51)) | v223(constB51, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB51)) | v223(constB51, 1))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32853,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB51)) | v223(constB51, 1))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32854,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB51)) | v223(constB51, 1)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 50.27/33.23 tff(32855,plain,
% 50.27/33.23 (~v222(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32854, 26413, 32807])).
% 50.27/33.23 tff(32856,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB51) | v224(constB51) | (~v236(constB51)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB51) | v224(constB51) | (~v236(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32857,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB51) | v224(constB51) | (~v236(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32858,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB51) | v224(constB51) | (~v236(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 50.27/33.23 tff(32859,plain,
% 50.27/33.23 (~v236(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32858, 15241, 32855, 32851])).
% 50.27/33.23 tff(32860,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB51) | (~v232(constB51)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB51) | (~v232(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32861,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB51) | (~v232(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32862,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB51) | (~v232(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 50.27/33.23 tff(32863,plain,
% 50.27/33.23 (~v232(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32862, 15255, 32859])).
% 50.27/33.23 tff(32864,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB51) | v237(constB51) | (~v248(constB51)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB51) | v237(constB51) | (~v248(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32865,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB51) | v237(constB51) | (~v248(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32866,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB51) | v237(constB51) | (~v248(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 50.27/33.23 tff(32867,plain,
% 50.27/33.23 (v237(constB51) | (~v248(constB51))),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32866, 15323, 32863])).
% 50.27/33.23 tff(32868,plain,
% 50.27/33.23 (~v248(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32867, 32847])).
% 50.27/33.23 tff(32869,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB51) | (~v244(constB51)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB51) | (~v244(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32870,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB51) | (~v244(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32871,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB51) | (~v244(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32870, 32869])).
% 50.27/33.23 tff(32872,plain,
% 50.27/33.23 (~v244(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32871, 15338, 32868])).
% 50.27/33.23 tff(32873,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB51) | (~v216(constB51, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB51) | (~v216(constB51, 1)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32874,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB51) | (~v216(constB51, 1)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32875,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB51) | (~v216(constB51, 1))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32874, 32873])).
% 50.27/33.23 tff(32876,plain,
% 50.27/33.23 (~v216(constB51, 1)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32875, 15352, 32872])).
% 50.27/33.23 tff(32877,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB51)) | v216(constB51, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB51)) | v216(constB51, 1))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32878,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB51)) | v216(constB51, 1))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32879,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB51)) | v216(constB51, 1)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 50.27/33.23 tff(32880,plain,
% 50.27/33.23 (~v254(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32879, 15363, 32876])).
% 50.27/33.23 tff(32881,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB51) | (~v231(constB51)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB51) | (~v231(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32882,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB51) | (~v231(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32883,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB51) | (~v231(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32882, 32881])).
% 50.27/33.23 tff(32884,plain,
% 50.27/33.23 (~v231(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32883, 26907, 32863])).
% 50.27/33.23 tff(32885,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB51) | (~v221(constB51)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB51) | (~v221(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32886,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB51) | (~v221(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32887,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB51) | (~v221(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32886, 32885])).
% 50.27/33.23 tff(32888,plain,
% 50.27/33.23 (~v221(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32887, 26489, 32855])).
% 50.27/33.23 tff(32889,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB51) | v231(constB51) | (~v243(constB51)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB51) | v231(constB51) | (~v243(constB51)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32890,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB51) | v231(constB51) | (~v243(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32891,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB51) | v231(constB51) | (~v243(constB51))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32890, 32889])).
% 50.27/33.23 tff(32892,plain,
% 50.27/33.23 (v231(constB51) | (~v243(constB51))),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32891, 15405, 32888])).
% 50.27/33.23 tff(32893,plain,
% 50.27/33.23 (~v243(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32892, 32884])).
% 50.27/33.23 tff(32894,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB51) | v255(constB51))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB51) | v255(constB51))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32895,plain,
% 50.27/33.23 ((v255(constB51) | v243(constB51)) <=> (v243(constB51) | v255(constB51))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32896,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB51) | v243(constB51))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB51) | v255(constB51)))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32895])).
% 50.27/33.23 tff(32897,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB51) | v243(constB51))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB51) | v255(constB51))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32896, 32894])).
% 50.27/33.23 tff(32898,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB51) | v243(constB51))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32899,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB51) | v255(constB51)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 50.27/33.23 tff(32900,plain,
% 50.27/33.23 (v255(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32899, 15416, 32893])).
% 50.27/33.23 tff(32901,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB51)) | (~v216(constB51, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB51)) | (~v216(constB51, 2)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32902,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB51)) | (~v216(constB51, 2)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32903,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB51)) | (~v216(constB51, 2))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32902, 32901])).
% 50.27/33.23 tff(32904,plain,
% 50.27/33.23 (~v216(constB51, 2)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32903, 15433, 32900])).
% 50.27/33.23 tff(32905,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, 2) | (~v215(constB51)) | v254(constB51))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB51, 2) | (~v215(constB51)) | v254(constB51))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32906,plain,
% 50.27/33.23 ((v216(constB51, 2) | v254(constB51) | (~v215(constB51))) <=> (v216(constB51, 2) | (~v215(constB51)) | v254(constB51))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32907,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, 2) | v254(constB51) | (~v215(constB51)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, 2) | (~v215(constB51)) | v254(constB51)))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32906])).
% 50.27/33.23 tff(32908,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, 2) | v254(constB51) | (~v215(constB51)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB51, 2) | (~v215(constB51)) | v254(constB51))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32907, 32905])).
% 50.27/33.23 tff(32909,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB51, 2) | v254(constB51) | (~v215(constB51)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32910,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB51, 2) | (~v215(constB51)) | v254(constB51)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 50.27/33.23 tff(32911,plain,
% 50.27/33.23 ((~v215(constB51)) | v254(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32910, 15447, 32904])).
% 50.27/33.23 tff(32912,plain,
% 50.27/33.23 (~v215(constB51)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32911, 32880])).
% 50.27/33.23 tff(32913,plain,
% 50.27/33.23 ($false),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32912, 32742])).
% 50.27/33.23 tff(32914,plain,(~(constB51 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.23 tff(32915,assumption,(constB171 = sK_VarCurr), introduced(assumption)).
% 50.27/33.23 tff(32916,plain,
% 50.27/33.23 (v215(constB171) <=> v215(sK_VarCurr)),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32915])).
% 50.27/33.23 tff(32917,plain,
% 50.27/33.23 (v215(sK_VarCurr) <=> v215(constB171)),
% 50.27/33.23 inference(symmetry,[status(thm)],[32916])).
% 50.27/33.23 tff(32918,plain,
% 50.27/33.23 (v215(constB171)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[34, 32917])).
% 50.27/33.23 tff(32919,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB171, 2)) | v90(constB171, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB171, 2)) | v90(constB171, 2))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32920,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB171, 2)) | v90(constB171, 2))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32921,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB171, 2)) | v90(constB171, 2)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32920, 32919])).
% 50.27/33.23 tff(32922,plain,
% 50.27/33.23 (~v88(constB171, 2)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32921, 26020, 21316])).
% 50.27/33.23 tff(32923,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB171, 1)) | v90(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB171, 1)) | v90(constB171, 1))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32924,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB171, 1)) | v90(constB171, 1))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32925,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB171, 1)) | v90(constB171, 1)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 50.27/33.23 tff(32926,plain,
% 50.27/33.23 (~v88(constB171, 1)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32925, 26697, 21350])).
% 50.27/33.23 tff(32927,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB171, 0)) | v88(constB171, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB171, 0)) | v88(constB171, 0))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32928,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB171, 0)) | v88(constB171, 0))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32929,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB171, 0)) | v88(constB171, 0)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 50.27/33.23 tff(32930,plain,
% 50.27/33.23 (v88(constB171, 0)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32929, 26254, 21381])).
% 50.27/33.23 tff(32931,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32932,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32933,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32932, 32931])).
% 50.27/33.23 tff(32934,plain,
% 50.27/33.23 (v140(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32933, 26719, 32930, 32926, 32922])).
% 50.27/33.23 tff(32935,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB171)) | v200(constB171))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB171)) | v200(constB171))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32936,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB171)) | v200(constB171))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32937,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB171)) | v200(constB171)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32936, 32935])).
% 50.27/33.23 tff(32938,plain,
% 50.27/33.23 (v200(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32937, 26731, 32934])).
% 50.27/33.23 tff(32939,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB171) | (~v200(constB171)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB171) | (~v200(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32940,plain,
% 50.27/33.23 (((~v200(constB171)) | v199(constB171)) <=> (v199(constB171) | (~v200(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32941,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB171)) | v199(constB171))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB171) | (~v200(constB171))))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32940])).
% 50.27/33.23 tff(32942,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB171)) | v199(constB171))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB171) | (~v200(constB171)))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32941, 32939])).
% 50.27/33.23 tff(32943,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB171)) | v199(constB171))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32944,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB171) | (~v200(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32943, 32942])).
% 50.27/33.23 tff(32945,plain,
% 50.27/33.23 (v199(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32944, 26742, 32938])).
% 50.27/33.23 tff(32946,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB171) | (~v199(constB171)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB171) | (~v199(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32947,plain,
% 50.27/33.23 (((~v199(constB171)) | v198(constB171)) <=> (v198(constB171) | (~v199(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32948,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB171)) | v198(constB171))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB171) | (~v199(constB171))))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32947])).
% 50.27/33.23 tff(32949,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB171)) | v198(constB171))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB171) | (~v199(constB171)))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32948, 32946])).
% 50.27/33.23 tff(32950,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB171)) | v198(constB171))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32951,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB171) | (~v199(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32950, 32949])).
% 50.27/33.23 tff(32952,plain,
% 50.27/33.23 (v198(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32951, 26293, 32945])).
% 50.27/33.23 tff(32953,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB171)) | (~v201(constB171)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB171)) | (~v201(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32954,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB171)) | (~v201(constB171)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32955,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB171)) | (~v201(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32954, 32953])).
% 50.27/33.23 tff(32956,plain,
% 50.27/33.23 (~v201(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32955, 15064, 32952])).
% 50.27/33.23 tff(32957,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB171) | (~v198(constB171)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB171) | (~v198(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32958,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB171) | (~v198(constB171)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32959,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB171) | (~v198(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32958, 32957])).
% 50.27/33.23 tff(32960,plain,
% 50.27/33.23 (v197(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32959, 15078, 32952])).
% 50.27/33.23 tff(32961,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB171) | v201(constB171) | (~v197(constB171)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB171) | v201(constB171) | (~v197(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32962,plain,
% 50.27/33.23 (((~v197(constB171)) | v201(constB171) | v227(constB171)) <=> (v227(constB171) | v201(constB171) | (~v197(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32963,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB171)) | v201(constB171) | v227(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB171) | v201(constB171) | (~v197(constB171))))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32962])).
% 50.27/33.23 tff(32964,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB171)) | v201(constB171) | v227(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB171) | v201(constB171) | (~v197(constB171)))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32963, 32961])).
% 50.27/33.23 tff(32965,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB171)) | v201(constB171) | v227(constB171))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32966,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB171) | v201(constB171) | (~v197(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 50.27/33.23 tff(32967,plain,
% 50.27/33.23 (v227(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32966, 15092, 32960, 32956])).
% 50.27/33.23 tff(32968,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB171)) | (~v223(constB171, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB171)) | (~v223(constB171, 0)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32969,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB171)) | (~v223(constB171, 0)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32970,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB171)) | (~v223(constB171, 0))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32969, 32968])).
% 50.27/33.23 tff(32971,plain,
% 50.27/33.23 (~v223(constB171, 0)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32970, 15109, 32967])).
% 50.27/33.23 tff(32972,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB171)) | (~v199(constB171)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB171)) | (~v199(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32973,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB171)) | (~v199(constB171)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32974,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB171)) | (~v199(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32973, 32972])).
% 50.27/33.23 tff(32975,plain,
% 50.27/33.23 (~v183(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32974, 26326, 32945])).
% 50.27/33.23 tff(32976,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB171) | (~v197(constB171)) | v183(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB171) | (~v197(constB171)) | v183(constB171))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32977,plain,
% 50.27/33.23 (((~v197(constB171)) | v183(constB171) | v228(constB171)) <=> (v228(constB171) | (~v197(constB171)) | v183(constB171))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32978,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB171)) | v183(constB171) | v228(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB171) | (~v197(constB171)) | v183(constB171)))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32977])).
% 50.27/33.23 tff(32979,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB171)) | v183(constB171) | v228(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB171) | (~v197(constB171)) | v183(constB171))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32978, 32976])).
% 50.27/33.23 tff(32980,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB171)) | v183(constB171) | v228(constB171))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32981,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB171) | (~v197(constB171)) | v183(constB171)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32980, 32979])).
% 50.27/33.23 tff(32982,plain,
% 50.27/33.23 (v228(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32981, 26340, 32960, 32975])).
% 50.27/33.23 tff(32983,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB171)) | (~v223(constB171, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB171)) | (~v223(constB171, 1)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32984,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB171)) | (~v223(constB171, 1)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32985,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB171)) | (~v223(constB171, 1))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32984, 32983])).
% 50.27/33.23 tff(32986,plain,
% 50.27/33.23 (~v223(constB171, 1)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32985, 26357, 32982])).
% 50.27/33.23 tff(32987,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB171, 1) | v223(constB171, 0) | (~v229(constB171)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB171, 1) | v223(constB171, 0) | (~v229(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32988,plain,
% 50.27/33.23 ((v223(constB171, 0) | v223(constB171, 1) | (~v229(constB171))) <=> (v223(constB171, 1) | v223(constB171, 0) | (~v229(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32989,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB171, 0) | v223(constB171, 1) | (~v229(constB171)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB171, 1) | v223(constB171, 0) | (~v229(constB171))))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[32988])).
% 50.27/33.23 tff(32990,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB171, 0) | v223(constB171, 1) | (~v229(constB171)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB171, 1) | v223(constB171, 0) | (~v229(constB171)))),
% 50.27/33.23 inference(transitivity,[status(thm)],[32989, 32987])).
% 50.27/33.23 tff(32991,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB171, 0) | v223(constB171, 1) | (~v229(constB171)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32992,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB171, 1) | v223(constB171, 0) | (~v229(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 50.27/33.23 tff(32993,plain,
% 50.27/33.23 (~v229(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32992, 26371, 32986, 32971])).
% 50.27/33.23 tff(32994,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB171) | (~v225(constB171)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB171) | (~v225(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32995,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB171) | (~v225(constB171)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(32996,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB171) | (~v225(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 50.27/33.23 tff(32997,plain,
% 50.27/33.23 (~v225(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[32996, 26388, 32993])).
% 50.27/33.23 tff(32998,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB171)) | (~v200(constB171)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB171)) | (~v200(constB171)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(32999,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB171)) | (~v200(constB171)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(33000,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB171)) | (~v200(constB171))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[32999, 32998])).
% 50.27/33.23 tff(33001,plain,
% 50.27/33.23 (~v166(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[33000, 26805, 32938])).
% 50.27/33.23 tff(33002,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB171) | (~v197(constB171)) | v166(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB171) | (~v197(constB171)) | v166(constB171))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(33003,plain,
% 50.27/33.23 (((~v197(constB171)) | v166(constB171) | v241(constB171)) <=> (v241(constB171) | (~v197(constB171)) | v166(constB171))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(33004,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB171)) | v166(constB171) | v241(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB171) | (~v197(constB171)) | v166(constB171)))),
% 50.27/33.23 inference(monotonicity,[status(thm)],[33003])).
% 50.27/33.23 tff(33005,plain,
% 50.27/33.23 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB171)) | v166(constB171) | v241(constB171))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB171) | (~v197(constB171)) | v166(constB171))),
% 50.27/33.23 inference(transitivity,[status(thm)],[33004, 33002])).
% 50.27/33.23 tff(33006,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB171)) | v166(constB171) | v241(constB171))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(33007,plain,
% 50.27/33.23 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB171) | (~v197(constB171)) | v166(constB171)),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[33006, 33005])).
% 50.27/33.23 tff(33008,plain,
% 50.27/33.23 (v241(constB171) | (~v197(constB171))),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[33007, 15198, 33001])).
% 50.27/33.23 tff(33009,plain,
% 50.27/33.23 (v241(constB171)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[33008, 32960])).
% 50.27/33.23 tff(33010,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB171)) | (~v223(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB171)) | (~v223(constB171, 2)))),
% 50.27/33.23 inference(rewrite,[status(thm)],[])).
% 50.27/33.23 tff(33011,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB171)) | (~v223(constB171, 2)))),
% 50.27/33.23 inference(quant_inst,[status(thm)],[])).
% 50.27/33.23 tff(33012,plain,
% 50.27/33.23 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB171)) | (~v223(constB171, 2))),
% 50.27/33.23 inference(modus_ponens,[status(thm)],[33011, 33010])).
% 50.27/33.23 tff(33013,plain,
% 50.27/33.23 (~v223(constB171, 2)),
% 50.27/33.23 inference(unit_resolution,[status(thm)],[33012, 15216, 33009])).
% 50.27/33.23 tff(33014,plain,
% 50.27/33.23 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB171) | v223(constB171, 2) | (~v242(constB171)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB171) | v223(constB171, 2) | (~v242(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33015,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB171) | v223(constB171, 2) | (~v242(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33016,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB171) | v223(constB171, 2) | (~v242(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33015, 33014])).
% 50.27/33.24 tff(33017,plain,
% 50.27/33.24 (v225(constB171) | (~v242(constB171))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33016, 26831, 33013])).
% 50.27/33.24 tff(33018,plain,
% 50.27/33.24 (~v242(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33017, 32997])).
% 50.27/33.24 tff(33019,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB171) | (~v238(constB171)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB171) | (~v238(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33020,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB171) | (~v238(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33021,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB171) | (~v238(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33020, 33019])).
% 50.27/33.24 tff(33022,plain,
% 50.27/33.24 (~v238(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33021, 26846, 33018])).
% 50.27/33.24 tff(33023,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB171) | (~v237(constB171)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB171) | (~v237(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33024,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB171) | (~v237(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33025,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB171) | (~v237(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33024, 33023])).
% 50.27/33.24 tff(33026,plain,
% 50.27/33.24 (~v237(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33025, 26860, 33022])).
% 50.27/33.24 tff(33027,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB171)) | v223(constB171, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB171)) | v223(constB171, 2))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33028,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB171)) | v223(constB171, 2))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33029,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB171)) | v223(constB171, 2)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33028, 33027])).
% 50.27/33.24 tff(33030,plain,
% 50.27/33.24 (~v224(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33029, 15227, 33013])).
% 50.27/33.24 tff(33031,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB171)) | v223(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB171)) | v223(constB171, 1))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33032,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB171)) | v223(constB171, 1))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33033,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB171)) | v223(constB171, 1)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33032, 33031])).
% 50.27/33.24 tff(33034,plain,
% 50.27/33.24 (~v222(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33033, 26413, 32986])).
% 50.27/33.24 tff(33035,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB171) | v224(constB171) | (~v236(constB171)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB171) | v224(constB171) | (~v236(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33036,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB171) | v224(constB171) | (~v236(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33037,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB171) | v224(constB171) | (~v236(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33036, 33035])).
% 50.27/33.24 tff(33038,plain,
% 50.27/33.24 (~v236(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33037, 15241, 33034, 33030])).
% 50.27/33.24 tff(33039,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB171) | (~v232(constB171)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB171) | (~v232(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33040,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB171) | (~v232(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33041,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB171) | (~v232(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33040, 33039])).
% 50.27/33.24 tff(33042,plain,
% 50.27/33.24 (~v232(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33041, 15255, 33038])).
% 50.27/33.24 tff(33043,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB171) | v237(constB171) | (~v248(constB171)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB171) | v237(constB171) | (~v248(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33044,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB171) | v237(constB171) | (~v248(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33045,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB171) | v237(constB171) | (~v248(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33044, 33043])).
% 50.27/33.24 tff(33046,plain,
% 50.27/33.24 (v237(constB171) | (~v248(constB171))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33045, 15323, 33042])).
% 50.27/33.24 tff(33047,plain,
% 50.27/33.24 (~v248(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33046, 33026])).
% 50.27/33.24 tff(33048,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB171) | (~v244(constB171)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB171) | (~v244(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33049,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB171) | (~v244(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33050,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB171) | (~v244(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 50.27/33.24 tff(33051,plain,
% 50.27/33.24 (~v244(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33050, 15338, 33047])).
% 50.27/33.24 tff(33052,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB171) | (~v216(constB171, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB171) | (~v216(constB171, 1)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33053,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB171) | (~v216(constB171, 1)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33054,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB171) | (~v216(constB171, 1))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33053, 33052])).
% 50.27/33.24 tff(33055,plain,
% 50.27/33.24 (~v216(constB171, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33054, 15352, 33051])).
% 50.27/33.24 tff(33056,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB171)) | v216(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB171)) | v216(constB171, 1))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33057,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB171)) | v216(constB171, 1))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33058,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB171)) | v216(constB171, 1)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33057, 33056])).
% 50.27/33.24 tff(33059,plain,
% 50.27/33.24 (~v254(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33058, 15363, 33055])).
% 50.27/33.24 tff(33060,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB171) | (~v231(constB171)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB171) | (~v231(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33061,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB171) | (~v231(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33062,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB171) | (~v231(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33061, 33060])).
% 50.27/33.24 tff(33063,plain,
% 50.27/33.24 (~v231(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33062, 26907, 33042])).
% 50.27/33.24 tff(33064,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB171) | (~v221(constB171)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB171) | (~v221(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33065,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB171) | (~v221(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33066,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB171) | (~v221(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33065, 33064])).
% 50.27/33.24 tff(33067,plain,
% 50.27/33.24 (~v221(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33066, 26489, 33034])).
% 50.27/33.24 tff(33068,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB171) | v231(constB171) | (~v243(constB171)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB171) | v231(constB171) | (~v243(constB171)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33069,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB171) | v231(constB171) | (~v243(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33070,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB171) | v231(constB171) | (~v243(constB171))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33069, 33068])).
% 50.27/33.24 tff(33071,plain,
% 50.27/33.24 (v231(constB171) | (~v243(constB171))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33070, 15405, 33067])).
% 50.27/33.24 tff(33072,plain,
% 50.27/33.24 (~v243(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33071, 33063])).
% 50.27/33.24 tff(33073,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB171) | v255(constB171))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB171) | v255(constB171))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33074,plain,
% 50.27/33.24 ((v255(constB171) | v243(constB171)) <=> (v243(constB171) | v255(constB171))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33075,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB171) | v243(constB171))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB171) | v255(constB171)))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33074])).
% 50.27/33.24 tff(33076,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB171) | v243(constB171))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB171) | v255(constB171))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33075, 33073])).
% 50.27/33.24 tff(33077,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB171) | v243(constB171))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33078,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB171) | v255(constB171)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33077, 33076])).
% 50.27/33.24 tff(33079,plain,
% 50.27/33.24 (v255(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33078, 15416, 33072])).
% 50.27/33.24 tff(33080,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB171)) | (~v216(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB171)) | (~v216(constB171, 2)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33081,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB171)) | (~v216(constB171, 2)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33082,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB171)) | (~v216(constB171, 2))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33081, 33080])).
% 50.27/33.24 tff(33083,plain,
% 50.27/33.24 (~v216(constB171, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33082, 15433, 33079])).
% 50.27/33.24 tff(33084,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, 2) | (~v215(constB171)) | v254(constB171))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB171, 2) | (~v215(constB171)) | v254(constB171))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33085,plain,
% 50.27/33.24 ((v216(constB171, 2) | v254(constB171) | (~v215(constB171))) <=> (v216(constB171, 2) | (~v215(constB171)) | v254(constB171))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33086,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, 2) | v254(constB171) | (~v215(constB171)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, 2) | (~v215(constB171)) | v254(constB171)))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33085])).
% 50.27/33.24 tff(33087,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, 2) | v254(constB171) | (~v215(constB171)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB171, 2) | (~v215(constB171)) | v254(constB171))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33086, 33084])).
% 50.27/33.24 tff(33088,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, 2) | v254(constB171) | (~v215(constB171)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33089,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB171, 2) | (~v215(constB171)) | v254(constB171)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33088, 33087])).
% 50.27/33.24 tff(33090,plain,
% 50.27/33.24 ((~v215(constB171)) | v254(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33089, 15447, 33083])).
% 50.27/33.24 tff(33091,plain,
% 50.27/33.24 (~v215(constB171)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33090, 33059])).
% 50.27/33.24 tff(33092,plain,
% 50.27/33.24 ($false),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33091, 32918])).
% 50.27/33.24 tff(33093,plain,(~(constB171 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.24 tff(33094,assumption,(constB99 = sK_VarCurr), introduced(assumption)).
% 50.27/33.24 tff(33095,plain,
% 50.27/33.24 (v215(constB99) <=> v215(sK_VarCurr)),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33094])).
% 50.27/33.24 tff(33096,plain,
% 50.27/33.24 (v215(sK_VarCurr) <=> v215(constB99)),
% 50.27/33.24 inference(symmetry,[status(thm)],[33095])).
% 50.27/33.24 tff(33097,plain,
% 50.27/33.24 (v215(constB99)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[34, 33096])).
% 50.27/33.24 tff(33098,plain,
% 50.27/33.24 (v125(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12274, 1953, 25833, 25853, 25843])).
% 50.27/33.24 tff(33099,plain,
% 50.27/33.24 (v113(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12278, 1964, 33098])).
% 50.27/33.24 tff(33100,plain,
% 50.27/33.24 (v112(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12287, 33099])).
% 50.27/33.24 tff(33101,plain,
% 50.27/33.24 (v108(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12294, 292, 33100])).
% 50.27/33.24 tff(33102,plain,
% 50.27/33.24 (v110(constB98)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12305, 33101])).
% 50.27/33.24 tff(33103,plain,
% 50.27/33.24 (v100(constB98)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12331, 33102])).
% 50.27/33.24 tff(33104,plain,
% 50.27/33.24 (~v119(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12335, 2050, 25853])).
% 50.27/33.24 tff(33105,plain,
% 50.27/33.24 (~v124(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12339, 2083, 25853])).
% 50.27/33.24 tff(33106,plain,
% 50.27/33.24 (~v123(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12343, 2072, 25853])).
% 50.27/33.24 tff(33107,plain,
% 50.27/33.24 (~v121(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12347, 2028, 25843])).
% 50.27/33.24 tff(33108,plain,
% 50.27/33.24 (~v120(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12351, 2061, 25853])).
% 50.27/33.24 tff(33109,plain,
% 50.27/33.24 (~v122(constB97)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12355, 2039, 25843])).
% 50.27/33.24 tff(33110,plain,
% 50.27/33.24 (~v130(constB97, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12359, 2097, 33109, 33108, 33107, 33106, 33105, 33104])).
% 50.27/33.24 tff(33111,plain,
% 50.27/33.24 (~v127(constB97, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12367, 33110])).
% 50.27/33.24 tff(33112,plain,
% 50.27/33.24 (~v129(constB98, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12372, 33111])).
% 50.27/33.24 tff(33113,plain,
% 50.27/33.24 ((~v90(constB98, 2)) | (~v100(constB98))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12376, 626, 33112])).
% 50.27/33.24 tff(33114,plain,
% 50.27/33.24 (~v90(constB98, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33113, 33103])).
% 50.27/33.24 tff(33115,plain,
% 50.27/33.24 (~v90(constB99, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12404, 33114])).
% 50.27/33.24 tff(33116,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB99, 2)) | v90(constB99, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB99, 2)) | v90(constB99, 2))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33117,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB99, 2)) | v90(constB99, 2))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33118,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB99, 2)) | v90(constB99, 2)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33117, 33116])).
% 50.27/33.24 tff(33119,plain,
% 50.27/33.24 (~v88(constB99, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33118, 26020, 33115])).
% 50.27/33.24 tff(33120,plain,
% 50.27/33.24 (~v130(constB97, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12439, 2156, 33109, 33108, 33107, 33106, 33105, 33104])).
% 50.27/33.24 tff(33121,plain,
% 50.27/33.24 (~v127(constB97, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12447, 33120])).
% 50.27/33.24 tff(33122,plain,
% 50.27/33.24 (~v129(constB98, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12452, 33121])).
% 50.27/33.24 tff(33123,plain,
% 50.27/33.24 ((~v90(constB98, 1)) | (~v100(constB98))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12459, 453, 33122])).
% 50.27/33.24 tff(33124,plain,
% 50.27/33.24 (~v90(constB98, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33123, 33103])).
% 50.27/33.24 tff(33125,plain,
% 50.27/33.24 (~v90(constB99, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12469, 33124])).
% 50.27/33.24 tff(33126,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB99, 1)) | v90(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB99, 1)) | v90(constB99, 1))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33127,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB99, 1)) | v90(constB99, 1))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33128,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB99, 1)) | v90(constB99, 1)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33127, 33126])).
% 50.27/33.24 tff(33129,plain,
% 50.27/33.24 (~v88(constB99, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33128, 26697, 33125])).
% 50.27/33.24 tff(33130,plain,
% 50.27/33.24 (v130(constB97, 0)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12408, 2200, 33109, 33108, 33107, 33106, 33105, 33104])).
% 50.27/33.24 tff(33131,plain,
% 50.27/33.24 (v127(constB97, 0)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12413, 33130])).
% 50.27/33.24 tff(33132,plain,
% 50.27/33.24 (v129(constB98, 0)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12418, 33131])).
% 50.27/33.24 tff(33133,plain,
% 50.27/33.24 (v90(constB98, 0) | (~v100(constB98))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12425, 545, 33132])).
% 50.27/33.24 tff(33134,plain,
% 50.27/33.24 (v90(constB98, 0)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33133, 33103])).
% 50.27/33.24 tff(33135,plain,
% 50.27/33.24 (v90(constB99, 0)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[12435, 33134])).
% 50.27/33.24 tff(33136,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB99, 0)) | v88(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB99, 0)) | v88(constB99, 0))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33137,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB99, 0)) | v88(constB99, 0))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33138,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB99, 0)) | v88(constB99, 0)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33137, 33136])).
% 50.27/33.24 tff(33139,plain,
% 50.27/33.24 (v88(constB99, 0)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33138, 26254, 33135])).
% 50.27/33.24 tff(33140,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 1) | v88(constB99, 2) | (~v88(constB99, 0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB99, 1) | v88(constB99, 2) | (~v88(constB99, 0)) | v140(constB99))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33141,plain,
% 50.27/33.24 ((v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99)) <=> (v88(constB99, 1) | v88(constB99, 2) | (~v88(constB99, 0)) | v140(constB99))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33142,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 1) | v88(constB99, 2) | (~v88(constB99, 0)) | v140(constB99)))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33141])).
% 50.27/33.24 tff(33143,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB99, 1) | v88(constB99, 2) | (~v88(constB99, 0)) | v140(constB99))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33142, 33140])).
% 50.27/33.24 tff(33144,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33145,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB99, 1) | v88(constB99, 2) | (~v88(constB99, 0)) | v140(constB99)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33144, 33143])).
% 50.27/33.24 tff(33146,plain,
% 50.27/33.24 (v140(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33145, 26719, 33139, 33129, 33119])).
% 50.27/33.24 tff(33147,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB99) | (~v140(constB99)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB99) | (~v140(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33148,plain,
% 50.27/33.24 (((~v140(constB99)) | v200(constB99)) <=> (v200(constB99) | (~v140(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33149,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB99)) | v200(constB99))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB99) | (~v140(constB99))))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33148])).
% 50.27/33.24 tff(33150,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB99)) | v200(constB99))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB99) | (~v140(constB99)))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33149, 33147])).
% 50.27/33.24 tff(33151,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB99)) | v200(constB99))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33152,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB99) | (~v140(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33151, 33150])).
% 50.27/33.24 tff(33153,plain,
% 50.27/33.24 (v200(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33152, 26731, 33146])).
% 50.27/33.24 tff(33154,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB99) | (~v200(constB99)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB99) | (~v200(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33155,plain,
% 50.27/33.24 (((~v200(constB99)) | v199(constB99)) <=> (v199(constB99) | (~v200(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33156,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB99)) | v199(constB99))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB99) | (~v200(constB99))))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33155])).
% 50.27/33.24 tff(33157,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB99)) | v199(constB99))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB99) | (~v200(constB99)))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33156, 33154])).
% 50.27/33.24 tff(33158,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB99)) | v199(constB99))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33159,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB99) | (~v200(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33158, 33157])).
% 50.27/33.24 tff(33160,plain,
% 50.27/33.24 (v199(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33159, 26742, 33153])).
% 50.27/33.24 tff(33161,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB99)) | v198(constB99))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB99)) | v198(constB99))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33162,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB99)) | v198(constB99))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33163,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB99)) | v198(constB99)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33162, 33161])).
% 50.27/33.24 tff(33164,plain,
% 50.27/33.24 (v198(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33163, 26293, 33160])).
% 50.27/33.24 tff(33165,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB99)) | (~v201(constB99)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB99)) | (~v201(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33166,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB99)) | (~v201(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33167,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB99)) | (~v201(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 50.27/33.24 tff(33168,plain,
% 50.27/33.24 (~v201(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33167, 15064, 33164])).
% 50.27/33.24 tff(33169,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB99) | (~v198(constB99)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB99) | (~v198(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33170,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB99) | (~v198(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33171,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB99) | (~v198(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33170, 33169])).
% 50.27/33.24 tff(33172,plain,
% 50.27/33.24 (v197(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33171, 15078, 33164])).
% 50.27/33.24 tff(33173,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB99) | v201(constB99) | (~v197(constB99)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB99) | v201(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33174,plain,
% 50.27/33.24 (((~v197(constB99)) | v201(constB99) | v227(constB99)) <=> (v227(constB99) | v201(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33175,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB99)) | v201(constB99) | v227(constB99))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB99) | v201(constB99) | (~v197(constB99))))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33174])).
% 50.27/33.24 tff(33176,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB99)) | v201(constB99) | v227(constB99))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB99) | v201(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33175, 33173])).
% 50.27/33.24 tff(33177,plain,
% 50.27/33.24 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB99)) | v201(constB99) | v227(constB99))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33178,plain,
% 50.27/33.24 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB99) | v201(constB99) | (~v197(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33177, 33176])).
% 50.27/33.24 tff(33179,plain,
% 50.27/33.24 (v227(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33178, 15092, 33172, 33168])).
% 50.27/33.24 tff(33180,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB99)) | (~v223(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB99)) | (~v223(constB99, 0)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33181,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB99)) | (~v223(constB99, 0)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33182,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB99)) | (~v223(constB99, 0))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33181, 33180])).
% 50.27/33.24 tff(33183,plain,
% 50.27/33.24 (~v223(constB99, 0)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33182, 15109, 33179])).
% 50.27/33.24 tff(33184,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB99)) | (~v199(constB99)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB99)) | (~v199(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33185,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB99)) | (~v199(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33186,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB99)) | (~v199(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33185, 33184])).
% 50.27/33.24 tff(33187,plain,
% 50.27/33.24 (~v183(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33186, 26326, 33160])).
% 50.27/33.24 tff(33188,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB99) | v183(constB99) | (~v197(constB99)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB99) | v183(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33189,plain,
% 50.27/33.24 (((~v197(constB99)) | v183(constB99) | v228(constB99)) <=> (v228(constB99) | v183(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33190,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB99)) | v183(constB99) | v228(constB99))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB99) | v183(constB99) | (~v197(constB99))))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33189])).
% 50.27/33.24 tff(33191,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB99)) | v183(constB99) | v228(constB99))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB99) | v183(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33190, 33188])).
% 50.27/33.24 tff(33192,plain,
% 50.27/33.24 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB99)) | v183(constB99) | v228(constB99))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33193,plain,
% 50.27/33.24 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB99) | v183(constB99) | (~v197(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33192, 33191])).
% 50.27/33.24 tff(33194,plain,
% 50.27/33.24 (v228(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33193, 26340, 33172, 33187])).
% 50.27/33.24 tff(33195,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB99)) | (~v223(constB99, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB99)) | (~v223(constB99, 1)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33196,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB99)) | (~v223(constB99, 1)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33197,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB99)) | (~v223(constB99, 1))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33196, 33195])).
% 50.27/33.24 tff(33198,plain,
% 50.27/33.24 (~v223(constB99, 1)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33197, 26357, 33194])).
% 50.27/33.24 tff(33199,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB99, 1) | (~v229(constB99)) | v223(constB99, 0))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB99, 1) | (~v229(constB99)) | v223(constB99, 0))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33200,plain,
% 50.27/33.24 ((v223(constB99, 0) | v223(constB99, 1) | (~v229(constB99))) <=> (v223(constB99, 1) | (~v229(constB99)) | v223(constB99, 0))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33201,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB99, 0) | v223(constB99, 1) | (~v229(constB99)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB99, 1) | (~v229(constB99)) | v223(constB99, 0)))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33200])).
% 50.27/33.24 tff(33202,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB99, 0) | v223(constB99, 1) | (~v229(constB99)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB99, 1) | (~v229(constB99)) | v223(constB99, 0))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33201, 33199])).
% 50.27/33.24 tff(33203,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB99, 0) | v223(constB99, 1) | (~v229(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33204,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB99, 1) | (~v229(constB99)) | v223(constB99, 0)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33203, 33202])).
% 50.27/33.24 tff(33205,plain,
% 50.27/33.24 (~v229(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33204, 26371, 33198, 33183])).
% 50.27/33.24 tff(33206,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB99) | (~v225(constB99)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB99) | (~v225(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33207,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB99) | (~v225(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33208,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB99) | (~v225(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33207, 33206])).
% 50.27/33.24 tff(33209,plain,
% 50.27/33.24 (~v225(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33208, 26388, 33205])).
% 50.27/33.24 tff(33210,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB99)) | (~v200(constB99)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB99)) | (~v200(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33211,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB99)) | (~v200(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33212,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB99)) | (~v200(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33211, 33210])).
% 50.27/33.24 tff(33213,plain,
% 50.27/33.24 (~v166(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33212, 26805, 33153])).
% 50.27/33.24 tff(33214,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB99) | v166(constB99) | (~v197(constB99)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | v166(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33215,plain,
% 50.27/33.24 (((~v197(constB99)) | v166(constB99) | v241(constB99)) <=> (v241(constB99) | v166(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33216,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB99) | v166(constB99) | (~v197(constB99))))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33215])).
% 50.27/33.24 tff(33217,plain,
% 50.27/33.24 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | v166(constB99) | (~v197(constB99)))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33216, 33214])).
% 50.27/33.24 tff(33218,plain,
% 50.27/33.24 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33219,plain,
% 50.27/33.24 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | v166(constB99) | (~v197(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33218, 33217])).
% 50.27/33.24 tff(33220,plain,
% 50.27/33.24 (v241(constB99) | (~v197(constB99))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33219, 15198, 33213])).
% 50.27/33.24 tff(33221,plain,
% 50.27/33.24 (v241(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33220, 33172])).
% 50.27/33.24 tff(33222,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB99)) | (~v223(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB99)) | (~v223(constB99, 2)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33223,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB99)) | (~v223(constB99, 2)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33224,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB99)) | (~v223(constB99, 2))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33223, 33222])).
% 50.27/33.24 tff(33225,plain,
% 50.27/33.24 (~v223(constB99, 2)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33224, 15216, 33221])).
% 50.27/33.24 tff(33226,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB99, 2) | v225(constB99) | (~v242(constB99)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB99, 2) | v225(constB99) | (~v242(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33227,plain,
% 50.27/33.24 ((v225(constB99) | v223(constB99, 2) | (~v242(constB99))) <=> (v223(constB99, 2) | v225(constB99) | (~v242(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33228,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB99) | v223(constB99, 2) | (~v242(constB99)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB99, 2) | v225(constB99) | (~v242(constB99))))),
% 50.27/33.24 inference(monotonicity,[status(thm)],[33227])).
% 50.27/33.24 tff(33229,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB99) | v223(constB99, 2) | (~v242(constB99)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB99, 2) | v225(constB99) | (~v242(constB99)))),
% 50.27/33.24 inference(transitivity,[status(thm)],[33228, 33226])).
% 50.27/33.24 tff(33230,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB99) | v223(constB99, 2) | (~v242(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33231,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB99, 2) | v225(constB99) | (~v242(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33230, 33229])).
% 50.27/33.24 tff(33232,plain,
% 50.27/33.24 (v225(constB99) | (~v242(constB99))),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33231, 26831, 33225])).
% 50.27/33.24 tff(33233,plain,
% 50.27/33.24 (~v242(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33232, 33209])).
% 50.27/33.24 tff(33234,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB99) | (~v238(constB99)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB99) | (~v238(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33235,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB99) | (~v238(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33236,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB99) | (~v238(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33235, 33234])).
% 50.27/33.24 tff(33237,plain,
% 50.27/33.24 (~v238(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33236, 26846, 33233])).
% 50.27/33.24 tff(33238,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB99) | (~v237(constB99)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB99) | (~v237(constB99)))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33239,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB99) | (~v237(constB99)))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33240,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB99) | (~v237(constB99))),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33239, 33238])).
% 50.27/33.24 tff(33241,plain,
% 50.27/33.24 (~v237(constB99)),
% 50.27/33.24 inference(unit_resolution,[status(thm)],[33240, 26860, 33237])).
% 50.27/33.24 tff(33242,plain,
% 50.27/33.24 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB99)) | v223(constB99, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB99)) | v223(constB99, 2))),
% 50.27/33.24 inference(rewrite,[status(thm)],[])).
% 50.27/33.24 tff(33243,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB99)) | v223(constB99, 2))),
% 50.27/33.24 inference(quant_inst,[status(thm)],[])).
% 50.27/33.24 tff(33244,plain,
% 50.27/33.24 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB99)) | v223(constB99, 2)),
% 50.27/33.24 inference(modus_ponens,[status(thm)],[33243, 33242])).
% 50.27/33.25 tff(33245,plain,
% 50.27/33.25 (~v224(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33244, 15227, 33225])).
% 50.27/33.25 tff(33246,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB99)) | v223(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB99)) | v223(constB99, 1))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33247,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB99)) | v223(constB99, 1))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33248,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB99)) | v223(constB99, 1)),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33247, 33246])).
% 50.27/33.25 tff(33249,plain,
% 50.27/33.25 (~v222(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33248, 26413, 33198])).
% 50.27/33.25 tff(33250,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB99) | v224(constB99) | (~v236(constB99)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB99) | v224(constB99) | (~v236(constB99)))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33251,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB99) | v224(constB99) | (~v236(constB99)))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33252,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB99) | v224(constB99) | (~v236(constB99))),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33251, 33250])).
% 50.27/33.25 tff(33253,plain,
% 50.27/33.25 (~v236(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33252, 15241, 33249, 33245])).
% 50.27/33.25 tff(33254,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB99) | (~v232(constB99)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB99) | (~v232(constB99)))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33255,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB99) | (~v232(constB99)))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33256,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB99) | (~v232(constB99))),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33255, 33254])).
% 50.27/33.25 tff(33257,plain,
% 50.27/33.25 (~v232(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33256, 15255, 33253])).
% 50.27/33.25 tff(33258,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB99) | v237(constB99) | (~v248(constB99)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB99) | v237(constB99) | (~v248(constB99)))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33259,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB99) | v237(constB99) | (~v248(constB99)))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33260,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB99) | v237(constB99) | (~v248(constB99))),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33259, 33258])).
% 50.27/33.25 tff(33261,plain,
% 50.27/33.25 (v237(constB99) | (~v248(constB99))),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33260, 15323, 33257])).
% 50.27/33.25 tff(33262,plain,
% 50.27/33.25 (~v248(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33261, 33241])).
% 50.27/33.25 tff(33263,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB99) | (~v244(constB99)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB99) | (~v244(constB99)))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33264,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB99) | (~v244(constB99)))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33265,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB99) | (~v244(constB99))),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33264, 33263])).
% 50.27/33.25 tff(33266,plain,
% 50.27/33.25 (~v244(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33265, 15338, 33262])).
% 50.27/33.25 tff(33267,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB99) | (~v216(constB99, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB99) | (~v216(constB99, 1)))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33268,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB99) | (~v216(constB99, 1)))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33269,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB99) | (~v216(constB99, 1))),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33268, 33267])).
% 50.27/33.25 tff(33270,plain,
% 50.27/33.25 (~v216(constB99, 1)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33269, 15352, 33266])).
% 50.27/33.25 tff(33271,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB99)) | v216(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB99)) | v216(constB99, 1))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33272,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB99)) | v216(constB99, 1))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33273,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB99)) | v216(constB99, 1)),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33272, 33271])).
% 50.27/33.25 tff(33274,plain,
% 50.27/33.25 (~v254(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33273, 15363, 33270])).
% 50.27/33.25 tff(33275,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB99) | (~v231(constB99)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB99) | (~v231(constB99)))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33276,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB99) | (~v231(constB99)))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33277,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB99) | (~v231(constB99))),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33276, 33275])).
% 50.27/33.25 tff(33278,plain,
% 50.27/33.25 (~v231(constB99)),
% 50.27/33.25 inference(unit_resolution,[status(thm)],[33277, 26907, 33257])).
% 50.27/33.25 tff(33279,plain,
% 50.27/33.25 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB99) | (~v221(constB99)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB99) | (~v221(constB99)))),
% 50.27/33.25 inference(rewrite,[status(thm)],[])).
% 50.27/33.25 tff(33280,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB99) | (~v221(constB99)))),
% 50.27/33.25 inference(quant_inst,[status(thm)],[])).
% 50.27/33.25 tff(33281,plain,
% 50.27/33.25 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB99) | (~v221(constB99))),
% 50.27/33.25 inference(modus_ponens,[status(thm)],[33280, 33279])).
% 50.32/33.25 tff(33282,plain,
% 50.32/33.25 (~v221(constB99)),
% 50.32/33.25 inference(unit_resolution,[status(thm)],[33281, 26489, 33249])).
% 50.32/33.25 tff(33283,plain,
% 50.32/33.25 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB99) | v231(constB99) | (~v243(constB99)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB99) | v231(constB99) | (~v243(constB99)))),
% 50.32/33.25 inference(rewrite,[status(thm)],[])).
% 50.32/33.25 tff(33284,plain,
% 50.32/33.25 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB99) | v231(constB99) | (~v243(constB99)))),
% 50.32/33.25 inference(quant_inst,[status(thm)],[])).
% 50.32/33.25 tff(33285,plain,
% 50.32/33.25 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB99) | v231(constB99) | (~v243(constB99))),
% 50.32/33.25 inference(modus_ponens,[status(thm)],[33284, 33283])).
% 50.32/33.25 tff(33286,plain,
% 50.32/33.25 (v231(constB99) | (~v243(constB99))),
% 50.32/33.25 inference(unit_resolution,[status(thm)],[33285, 15405, 33282])).
% 50.32/33.25 tff(33287,plain,
% 50.32/33.25 (~v243(constB99)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33286, 33278])).
% 50.33/33.25 tff(33288,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB99) | v243(constB99))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v255(constB99) | v243(constB99))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33289,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB99) | v243(constB99))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33290,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v255(constB99) | v243(constB99)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33289, 33288])).
% 50.33/33.25 tff(33291,plain,
% 50.33/33.25 (v255(constB99)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33290, 15416, 33287])).
% 50.33/33.25 tff(33292,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB99)) | (~v216(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB99)) | (~v216(constB99, 2)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33293,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB99)) | (~v216(constB99, 2)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33294,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB99)) | (~v216(constB99, 2))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33293, 33292])).
% 50.33/33.25 tff(33295,plain,
% 50.33/33.25 (~v216(constB99, 2)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33294, 15433, 33291])).
% 50.33/33.25 tff(33296,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, 2) | (~v215(constB99)) | v254(constB99))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB99, 2) | (~v215(constB99)) | v254(constB99))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33297,plain,
% 50.33/33.25 ((v216(constB99, 2) | v254(constB99) | (~v215(constB99))) <=> (v216(constB99, 2) | (~v215(constB99)) | v254(constB99))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33298,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, 2) | v254(constB99) | (~v215(constB99)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, 2) | (~v215(constB99)) | v254(constB99)))),
% 50.33/33.25 inference(monotonicity,[status(thm)],[33297])).
% 50.33/33.25 tff(33299,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, 2) | v254(constB99) | (~v215(constB99)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB99, 2) | (~v215(constB99)) | v254(constB99))),
% 50.33/33.25 inference(transitivity,[status(thm)],[33298, 33296])).
% 50.33/33.25 tff(33300,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, 2) | v254(constB99) | (~v215(constB99)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33301,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB99, 2) | (~v215(constB99)) | v254(constB99)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33300, 33299])).
% 50.33/33.25 tff(33302,plain,
% 50.33/33.25 ((~v215(constB99)) | v254(constB99)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33301, 15447, 33295])).
% 50.33/33.25 tff(33303,plain,
% 50.33/33.25 (~v215(constB99)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33302, 33274])).
% 50.33/33.25 tff(33304,plain,
% 50.33/33.25 ($false),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33303, 33097])).
% 50.33/33.25 tff(33305,plain,(~(constB99 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.33/33.25 tff(33306,assumption,(constB17 = sK_VarCurr), introduced(assumption)).
% 50.33/33.25 tff(33307,plain,
% 50.33/33.25 (v215(constB17) <=> v215(sK_VarCurr)),
% 50.33/33.25 inference(monotonicity,[status(thm)],[33306])).
% 50.33/33.25 tff(33308,plain,
% 50.33/33.25 (v215(sK_VarCurr) <=> v215(constB17)),
% 50.33/33.25 inference(symmetry,[status(thm)],[33307])).
% 50.33/33.25 tff(33309,plain,
% 50.33/33.25 (v215(constB17)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[34, 33308])).
% 50.33/33.25 tff(33310,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB17, 2)) | v90(constB17, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB17, 2)) | v90(constB17, 2))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33311,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB17, 2)) | v90(constB17, 2))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33312,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB17, 2)) | v90(constB17, 2)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33311, 33310])).
% 50.33/33.25 tff(33313,plain,
% 50.33/33.25 (~v88(constB17, 2)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33312, 26020, 2390])).
% 50.33/33.25 tff(33314,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB17, 0)) | v90(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB17, 0)) | v90(constB17, 0))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33315,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB17, 0)) | v90(constB17, 0))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33316,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB17, 0)) | v90(constB17, 0)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33315, 33314])).
% 50.33/33.25 tff(33317,plain,
% 50.33/33.25 (~v88(constB17, 0)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33316, 14930, 2455])).
% 50.33/33.25 tff(33318,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB17, 1)) | v88(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB17, 1)) | v88(constB17, 1))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33319,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB17, 1)) | v88(constB17, 1))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33320,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB17, 1)) | v88(constB17, 1)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33319, 33318])).
% 50.33/33.25 tff(33321,plain,
% 50.33/33.25 (v88(constB17, 1)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33320, 15014, 2421])).
% 50.33/33.25 tff(33322,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33323,plain,
% 50.33/33.25 ((v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17)) <=> ((~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33324,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17)))),
% 50.33/33.25 inference(monotonicity,[status(thm)],[33323])).
% 50.33/33.25 tff(33325,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))),
% 50.33/33.25 inference(transitivity,[status(thm)],[33324, 33322])).
% 50.33/33.25 tff(33326,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33327,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33326, 33325])).
% 50.33/33.25 tff(33328,plain,
% 50.33/33.25 (v143(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33327, 26042, 33321, 33317, 33313])).
% 50.33/33.25 tff(33329,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB17)) | v142(constB17))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33330,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33331,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB17)) | v142(constB17)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33330, 33329])).
% 50.33/33.25 tff(33332,plain,
% 50.33/33.25 (v142(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33331, 26056, 33328])).
% 50.33/33.25 tff(33333,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB17) | (~v142(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33334,plain,
% 50.33/33.25 (((~v142(constB17)) | v198(constB17)) <=> (v198(constB17) | (~v142(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33335,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB17)) | v198(constB17))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (v198(constB17) | (~v142(constB17))))),
% 50.33/33.25 inference(monotonicity,[status(thm)],[33334])).
% 50.33/33.25 tff(33336,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB17)) | v198(constB17))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB17) | (~v142(constB17)))),
% 50.33/33.25 inference(transitivity,[status(thm)],[33335, 33333])).
% 50.33/33.25 tff(33337,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB17)) | v198(constB17))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33338,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | v198(constB17) | (~v142(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33337, 33336])).
% 50.33/33.25 tff(33339,plain,
% 50.33/33.25 (v198(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33338, 15053, 33332])).
% 50.33/33.25 tff(33340,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB17)) | (~v201(constB17)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB17)) | (~v201(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33341,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB17)) | (~v201(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33342,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB17)) | (~v201(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33341, 33340])).
% 50.33/33.25 tff(33343,plain,
% 50.33/33.25 (~v201(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33342, 15064, 33339])).
% 50.33/33.25 tff(33344,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB17) | (~v198(constB17)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB17) | (~v198(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33345,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB17) | (~v198(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33346,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB17) | (~v198(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33345, 33344])).
% 50.33/33.25 tff(33347,plain,
% 50.33/33.25 (v197(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33346, 15078, 33339])).
% 50.33/33.25 tff(33348,plain,
% 50.33/33.25 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB17) | (~v197(constB17)) | v201(constB17))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB17) | (~v197(constB17)) | v201(constB17))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33349,plain,
% 50.33/33.25 (((~v197(constB17)) | v201(constB17) | v227(constB17)) <=> (v227(constB17) | (~v197(constB17)) | v201(constB17))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33350,plain,
% 50.33/33.25 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB17)) | v201(constB17) | v227(constB17))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB17) | (~v197(constB17)) | v201(constB17)))),
% 50.33/33.25 inference(monotonicity,[status(thm)],[33349])).
% 50.33/33.25 tff(33351,plain,
% 50.33/33.25 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB17)) | v201(constB17) | v227(constB17))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB17) | (~v197(constB17)) | v201(constB17))),
% 50.33/33.25 inference(transitivity,[status(thm)],[33350, 33348])).
% 50.33/33.25 tff(33352,plain,
% 50.33/33.25 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB17)) | v201(constB17) | v227(constB17))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33353,plain,
% 50.33/33.25 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB17) | (~v197(constB17)) | v201(constB17)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 50.33/33.25 tff(33354,plain,
% 50.33/33.25 (v227(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33353, 15092, 33347, 33343])).
% 50.33/33.25 tff(33355,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB17)) | (~v223(constB17, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB17)) | (~v223(constB17, 0)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33356,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB17)) | (~v223(constB17, 0)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33357,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB17)) | (~v223(constB17, 0))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33356, 33355])).
% 50.33/33.25 tff(33358,plain,
% 50.33/33.25 (~v223(constB17, 0)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33357, 15109, 33354])).
% 50.33/33.25 tff(33359,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB17)) | v223(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB17)) | v223(constB17, 0))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33360,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB17)) | v223(constB17, 0))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33361,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB17)) | v223(constB17, 0)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33360, 33359])).
% 50.33/33.25 tff(33362,plain,
% 50.33/33.25 (~v222(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33361, 15120, 33358])).
% 50.33/33.25 tff(33363,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB17)) | (~v88(constB17, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB17)) | (~v88(constB17, 1)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33364,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB17)) | (~v88(constB17, 1)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33365,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB17)) | (~v88(constB17, 1))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33364, 33363])).
% 50.33/33.25 tff(33366,plain,
% 50.33/33.25 (~v139(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33365, 15131, 33321])).
% 50.33/33.25 tff(33367,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB17)) | (~v88(constB17, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB17)) | (~v88(constB17, 1)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33368,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB17)) | (~v88(constB17, 1)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33369,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB17)) | (~v88(constB17, 1))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33368, 33367])).
% 50.33/33.25 tff(33370,plain,
% 50.33/33.25 (~v140(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33369, 15142, 33321])).
% 50.33/33.25 tff(33371,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v200(constB17)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB17) | v140(constB17) | (~v200(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33372,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v200(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33373,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB17) | v140(constB17) | (~v200(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33372, 33371])).
% 50.33/33.25 tff(33374,plain,
% 50.33/33.25 (~v200(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33373, 15156, 33370, 33366])).
% 50.33/33.25 tff(33375,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB17)) | v88(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB17)) | v88(constB17, 0))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33376,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB17)) | v88(constB17, 0))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33377,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB17)) | v88(constB17, 0)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33376, 33375])).
% 50.33/33.25 tff(33378,plain,
% 50.33/33.25 (~v141(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33377, 26106, 33317])).
% 50.33/33.25 tff(33379,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB17) | v200(constB17) | (~v166(constB17)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB17) | v200(constB17) | (~v166(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33380,plain,
% 50.33/33.25 ((v141(constB17) | (~v166(constB17)) | v200(constB17)) <=> (v141(constB17) | v200(constB17) | (~v166(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33381,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB17) | (~v166(constB17)) | v200(constB17))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB17) | v200(constB17) | (~v166(constB17))))),
% 50.33/33.25 inference(monotonicity,[status(thm)],[33380])).
% 50.33/33.25 tff(33382,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB17) | (~v166(constB17)) | v200(constB17))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB17) | v200(constB17) | (~v166(constB17)))),
% 50.33/33.25 inference(transitivity,[status(thm)],[33381, 33379])).
% 50.33/33.25 tff(33383,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB17) | (~v166(constB17)) | v200(constB17))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33384,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB17) | v200(constB17) | (~v166(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33383, 33382])).
% 50.33/33.25 tff(33385,plain,
% 50.33/33.25 (~v166(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33384, 15181, 33378, 33374])).
% 50.33/33.25 tff(33386,plain,
% 50.33/33.25 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB17) | (~v197(constB17)) | v166(constB17))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB17) | (~v197(constB17)) | v166(constB17))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33387,plain,
% 50.33/33.25 (((~v197(constB17)) | v166(constB17) | v241(constB17)) <=> (v241(constB17) | (~v197(constB17)) | v166(constB17))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33388,plain,
% 50.33/33.25 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB17)) | v166(constB17) | v241(constB17))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB17) | (~v197(constB17)) | v166(constB17)))),
% 50.33/33.25 inference(monotonicity,[status(thm)],[33387])).
% 50.33/33.25 tff(33389,plain,
% 50.33/33.25 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB17)) | v166(constB17) | v241(constB17))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB17) | (~v197(constB17)) | v166(constB17))),
% 50.33/33.25 inference(transitivity,[status(thm)],[33388, 33386])).
% 50.33/33.25 tff(33390,plain,
% 50.33/33.25 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB17)) | v166(constB17) | v241(constB17))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33391,plain,
% 50.33/33.25 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB17) | (~v197(constB17)) | v166(constB17)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33390, 33389])).
% 50.33/33.25 tff(33392,plain,
% 50.33/33.25 (v241(constB17) | (~v197(constB17))),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33391, 15198, 33385])).
% 50.33/33.25 tff(33393,plain,
% 50.33/33.25 (v241(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33392, 33347])).
% 50.33/33.25 tff(33394,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB17)) | (~v223(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB17)) | (~v223(constB17, 2)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33395,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB17)) | (~v223(constB17, 2)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33396,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB17)) | (~v223(constB17, 2))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33395, 33394])).
% 50.33/33.25 tff(33397,plain,
% 50.33/33.25 (~v223(constB17, 2)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33396, 15216, 33393])).
% 50.33/33.25 tff(33398,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB17)) | v223(constB17, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB17)) | v223(constB17, 2))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33399,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB17)) | v223(constB17, 2))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33400,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB17)) | v223(constB17, 2)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33399, 33398])).
% 50.33/33.25 tff(33401,plain,
% 50.33/33.25 (~v224(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33400, 15227, 33397])).
% 50.33/33.25 tff(33402,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB17) | v224(constB17) | (~v236(constB17)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB17) | v224(constB17) | (~v236(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33403,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB17) | v224(constB17) | (~v236(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33404,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB17) | v224(constB17) | (~v236(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33403, 33402])).
% 50.33/33.25 tff(33405,plain,
% 50.33/33.25 (~v236(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33404, 15241, 33401, 33362])).
% 50.33/33.25 tff(33406,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB17) | (~v232(constB17)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB17) | (~v232(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33407,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB17) | (~v232(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33408,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB17) | (~v232(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 50.33/33.25 tff(33409,plain,
% 50.33/33.25 (~v232(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33408, 15255, 33405])).
% 50.33/33.25 tff(33410,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v148(constB17)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB17) | v140(constB17) | (~v148(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33411,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v148(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33412,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB17) | v140(constB17) | (~v148(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33411, 33410])).
% 50.33/33.25 tff(33413,plain,
% 50.33/33.25 (~v148(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33412, 15269, 33370, 33366])).
% 50.33/33.25 tff(33414,plain,
% 50.33/33.25 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB17) | v252(constB17) | (~v197(constB17)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB17) | v252(constB17) | (~v197(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33415,plain,
% 50.33/33.25 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB17) | v252(constB17) | (~v197(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33416,plain,
% 50.33/33.25 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB17) | v252(constB17) | (~v197(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33415, 33414])).
% 50.33/33.25 tff(33417,plain,
% 50.33/33.25 (v252(constB17) | (~v197(constB17))),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33416, 15283, 33413])).
% 50.33/33.25 tff(33418,plain,
% 50.33/33.25 (v252(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33417, 33347])).
% 50.33/33.25 tff(33419,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB17)) | (~v223(constB17, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB17)) | (~v223(constB17, 3)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33420,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB17)) | (~v223(constB17, 3)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33421,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB17)) | (~v223(constB17, 3))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33420, 33419])).
% 50.33/33.25 tff(33422,plain,
% 50.33/33.25 (~v223(constB17, 3)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33421, 15298, 33418])).
% 50.33/33.25 tff(33423,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB17)) | v223(constB17, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB17)) | v223(constB17, 3))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33424,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB17)) | v223(constB17, 3))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33425,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB17)) | v223(constB17, 3)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 50.33/33.25 tff(33426,plain,
% 50.33/33.25 (~v237(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33425, 15309, 33422])).
% 50.33/33.25 tff(33427,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB17) | v237(constB17) | (~v248(constB17)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB17) | v237(constB17) | (~v248(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33428,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB17) | v237(constB17) | (~v248(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33429,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB17) | v237(constB17) | (~v248(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33428, 33427])).
% 50.33/33.25 tff(33430,plain,
% 50.33/33.25 (v232(constB17) | (~v248(constB17))),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33429, 15323, 33426])).
% 50.33/33.25 tff(33431,plain,
% 50.33/33.25 (~v248(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33430, 33409])).
% 50.33/33.25 tff(33432,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB17) | (~v244(constB17)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB17) | (~v244(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33433,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB17) | (~v244(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33434,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB17) | (~v244(constB17))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33433, 33432])).
% 50.33/33.25 tff(33435,plain,
% 50.33/33.25 (~v244(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33434, 15338, 33431])).
% 50.33/33.25 tff(33436,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB17) | (~v216(constB17, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB17) | (~v216(constB17, 1)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33437,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB17) | (~v216(constB17, 1)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33438,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB17) | (~v216(constB17, 1))),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33437, 33436])).
% 50.33/33.25 tff(33439,plain,
% 50.33/33.25 (~v216(constB17, 1)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33438, 15352, 33435])).
% 50.33/33.25 tff(33440,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB17)) | v216(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB17)) | v216(constB17, 1))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33441,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB17)) | v216(constB17, 1))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33442,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB17)) | v216(constB17, 1)),
% 50.33/33.25 inference(modus_ponens,[status(thm)],[33441, 33440])).
% 50.33/33.25 tff(33443,plain,
% 50.33/33.25 (~v254(constB17)),
% 50.33/33.25 inference(unit_resolution,[status(thm)],[33442, 15363, 33439])).
% 50.33/33.25 tff(33444,plain,
% 50.33/33.25 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB17) | (~v221(constB17)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB17) | (~v221(constB17)))),
% 50.33/33.25 inference(rewrite,[status(thm)],[])).
% 50.33/33.25 tff(33445,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB17) | (~v221(constB17)))),
% 50.33/33.25 inference(quant_inst,[status(thm)],[])).
% 50.33/33.25 tff(33446,plain,
% 50.33/33.25 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB17) | (~v221(constB17))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33445, 33444])).
% 50.33/33.26 tff(33447,plain,
% 50.33/33.26 (~v221(constB17)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33446, 15377, 33401])).
% 50.33/33.26 tff(33448,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB17) | (~v231(constB17)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB17) | (~v231(constB17)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33449,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB17) | (~v231(constB17)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33450,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB17) | (~v231(constB17))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33449, 33448])).
% 50.33/33.26 tff(33451,plain,
% 50.33/33.26 (~v231(constB17)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33450, 15391, 33426])).
% 50.33/33.26 tff(33452,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB17) | v231(constB17) | (~v243(constB17)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB17) | v231(constB17) | (~v243(constB17)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33453,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB17) | v231(constB17) | (~v243(constB17)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33454,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB17) | v231(constB17) | (~v243(constB17))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33453, 33452])).
% 50.33/33.26 tff(33455,plain,
% 50.33/33.26 (~v243(constB17)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33454, 15405, 33451, 33447])).
% 50.33/33.26 tff(33456,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB17) | v255(constB17))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB17) | v255(constB17))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33457,plain,
% 50.33/33.26 ((v255(constB17) | v243(constB17)) <=> (v243(constB17) | v255(constB17))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33458,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB17) | v243(constB17))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB17) | v255(constB17)))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33457])).
% 50.33/33.26 tff(33459,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB17) | v243(constB17))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB17) | v255(constB17))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33458, 33456])).
% 50.33/33.26 tff(33460,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB17) | v243(constB17))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33461,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB17) | v255(constB17)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33460, 33459])).
% 50.33/33.26 tff(33462,plain,
% 50.33/33.26 (v255(constB17)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33461, 15416, 33455])).
% 50.33/33.26 tff(33463,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB17)) | (~v216(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB17)) | (~v216(constB17, 2)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33464,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB17)) | (~v216(constB17, 2)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33465,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB17)) | (~v216(constB17, 2))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33464, 33463])).
% 50.33/33.26 tff(33466,plain,
% 50.33/33.26 (~v216(constB17, 2)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33465, 15433, 33462])).
% 50.33/33.26 tff(33467,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB17)) | v254(constB17) | v216(constB17, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB17)) | v254(constB17) | v216(constB17, 2))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33468,plain,
% 50.33/33.26 ((v216(constB17, 2) | v254(constB17) | (~v215(constB17))) <=> ((~v215(constB17)) | v254(constB17) | v216(constB17, 2))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33469,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB17, 2) | v254(constB17) | (~v215(constB17)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB17)) | v254(constB17) | v216(constB17, 2)))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33468])).
% 50.33/33.26 tff(33470,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB17, 2) | v254(constB17) | (~v215(constB17)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB17)) | v254(constB17) | v216(constB17, 2))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33469, 33467])).
% 50.33/33.26 tff(33471,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB17, 2) | v254(constB17) | (~v215(constB17)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33472,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB17)) | v254(constB17) | v216(constB17, 2)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33471, 33470])).
% 50.33/33.26 tff(33473,plain,
% 50.33/33.26 ((~v215(constB17)) | v254(constB17)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33472, 15447, 33466])).
% 50.33/33.26 tff(33474,plain,
% 50.33/33.26 (~v215(constB17)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33473, 33443])).
% 50.33/33.26 tff(33475,plain,
% 50.33/33.26 ($false),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33474, 33309])).
% 50.33/33.26 tff(33476,plain,(~(constB17 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.33/33.26 tff(33477,assumption,(constB37 = sK_VarCurr), introduced(assumption)).
% 50.33/33.26 tff(33478,plain,
% 50.33/33.26 (v215(constB37) <=> v215(sK_VarCurr)),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33477])).
% 50.33/33.26 tff(33479,plain,
% 50.33/33.26 (v215(sK_VarCurr) <=> v215(constB37)),
% 50.33/33.26 inference(symmetry,[status(thm)],[33478])).
% 50.33/33.26 tff(33480,plain,
% 50.33/33.26 (v215(constB37)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[34, 33479])).
% 50.33/33.26 tff(33481,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB37, 0)) | v90(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB37, 0)) | v90(constB37, 0))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33482,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB37, 0)) | v90(constB37, 0))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33483,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB37, 0)) | v90(constB37, 0)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 50.33/33.26 tff(33484,plain,
% 50.33/33.26 (~v88(constB37, 0)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33483, 14930, 5072])).
% 50.33/33.26 tff(33485,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB37, 2)) | v88(constB37, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB37, 2)) | v88(constB37, 2))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33486,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB37, 2)) | v88(constB37, 2))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33487,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB37, 2)) | v88(constB37, 2)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33486, 33485])).
% 50.33/33.26 tff(33488,plain,
% 50.33/33.26 (v88(constB37, 2)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33487, 14972, 5007])).
% 50.33/33.26 tff(33489,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB37, 1)) | v88(constB37, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB37, 1)) | v88(constB37, 1))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33490,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB37, 1)) | v88(constB37, 1))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33491,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB37, 1)) | v88(constB37, 1)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33490, 33489])).
% 50.33/33.26 tff(33492,plain,
% 50.33/33.26 (v88(constB37, 1)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33491, 15014, 5038])).
% 50.33/33.26 tff(33493,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33494,plain,
% 50.33/33.26 (((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37)) <=> (v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33495,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37)))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33494])).
% 50.33/33.26 tff(33496,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33495, 33493])).
% 50.33/33.26 tff(33497,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33498,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33497, 33496])).
% 50.33/33.26 tff(33499,plain,
% 50.33/33.26 (v144(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33498, 15028, 33492, 33488, 33484])).
% 50.33/33.26 tff(33500,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB37)) | v142(constB37))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB37)) | v142(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33501,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB37)) | v142(constB37))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33502,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB37)) | v142(constB37)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 50.33/33.26 tff(33503,plain,
% 50.33/33.26 (v142(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33502, 15042, 33499])).
% 50.33/33.26 tff(33504,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB37)) | v198(constB37))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB37)) | v198(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33505,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB37)) | v198(constB37))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33506,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB37)) | v198(constB37)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33505, 33504])).
% 50.33/33.26 tff(33507,plain,
% 50.33/33.26 (v198(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33506, 15053, 33503])).
% 50.33/33.26 tff(33508,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB37)) | (~v201(constB37)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB37)) | (~v201(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33509,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB37)) | (~v201(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33510,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB37)) | (~v201(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33509, 33508])).
% 50.33/33.26 tff(33511,plain,
% 50.33/33.26 (~v201(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33510, 15064, 33507])).
% 50.33/33.26 tff(33512,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB37) | (~v198(constB37)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB37) | (~v198(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33513,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB37) | (~v198(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33514,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB37) | (~v198(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33513, 33512])).
% 50.33/33.26 tff(33515,plain,
% 50.33/33.26 (v197(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33514, 15078, 33507])).
% 50.33/33.26 tff(33516,plain,
% 50.33/33.26 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB37) | (~v197(constB37)) | v201(constB37))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB37) | (~v197(constB37)) | v201(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33517,plain,
% 50.33/33.26 (((~v197(constB37)) | v201(constB37) | v227(constB37)) <=> (v227(constB37) | (~v197(constB37)) | v201(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33518,plain,
% 50.33/33.26 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB37)) | v201(constB37) | v227(constB37))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB37) | (~v197(constB37)) | v201(constB37)))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33517])).
% 50.33/33.26 tff(33519,plain,
% 50.33/33.26 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB37)) | v201(constB37) | v227(constB37))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB37) | (~v197(constB37)) | v201(constB37))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33518, 33516])).
% 50.33/33.26 tff(33520,plain,
% 50.33/33.26 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB37)) | v201(constB37) | v227(constB37))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33521,plain,
% 50.33/33.26 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB37) | (~v197(constB37)) | v201(constB37)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33520, 33519])).
% 50.33/33.26 tff(33522,plain,
% 50.33/33.26 (v227(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33521, 15092, 33515, 33511])).
% 50.33/33.26 tff(33523,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB37)) | (~v223(constB37, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB37)) | (~v223(constB37, 0)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33524,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB37)) | (~v223(constB37, 0)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33525,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB37)) | (~v223(constB37, 0))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33524, 33523])).
% 50.33/33.26 tff(33526,plain,
% 50.33/33.26 (~v223(constB37, 0)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33525, 15109, 33522])).
% 50.33/33.26 tff(33527,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB37)) | v223(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB37)) | v223(constB37, 0))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33528,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB37)) | v223(constB37, 0))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33529,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB37)) | v223(constB37, 0)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33528, 33527])).
% 50.33/33.26 tff(33530,plain,
% 50.33/33.26 (~v222(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33529, 15120, 33526])).
% 50.33/33.26 tff(33531,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB37)) | (~v88(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB37)) | (~v88(constB37, 1)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33532,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB37)) | (~v88(constB37, 1)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33533,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB37)) | (~v88(constB37, 1))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33532, 33531])).
% 50.33/33.26 tff(33534,plain,
% 50.33/33.26 (~v139(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33533, 15131, 33492])).
% 50.33/33.26 tff(33535,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB37)) | (~v88(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB37)) | (~v88(constB37, 1)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33536,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB37)) | (~v88(constB37, 1)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33537,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB37)) | (~v88(constB37, 1))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33536, 33535])).
% 50.33/33.26 tff(33538,plain,
% 50.33/33.26 (~v140(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33537, 15142, 33492])).
% 50.33/33.26 tff(33539,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v200(constB37)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB37) | v140(constB37) | (~v200(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33540,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v200(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33541,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB37) | v140(constB37) | (~v200(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33540, 33539])).
% 50.33/33.26 tff(33542,plain,
% 50.33/33.26 (~v200(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33541, 15156, 33538, 33534])).
% 50.33/33.26 tff(33543,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB37)) | (~v88(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB37)) | (~v88(constB37, 2)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33544,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB37)) | (~v88(constB37, 2)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33545,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB37)) | (~v88(constB37, 2))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33544, 33543])).
% 50.33/33.26 tff(33546,plain,
% 50.33/33.26 (~v141(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33545, 15167, 33488])).
% 50.33/33.26 tff(33547,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB37) | v200(constB37) | (~v166(constB37)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB37) | v200(constB37) | (~v166(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33548,plain,
% 50.33/33.26 ((v141(constB37) | (~v166(constB37)) | v200(constB37)) <=> (v141(constB37) | v200(constB37) | (~v166(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33549,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB37) | (~v166(constB37)) | v200(constB37))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB37) | v200(constB37) | (~v166(constB37))))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33548])).
% 50.33/33.26 tff(33550,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB37) | (~v166(constB37)) | v200(constB37))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB37) | v200(constB37) | (~v166(constB37)))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33549, 33547])).
% 50.33/33.26 tff(33551,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB37) | (~v166(constB37)) | v200(constB37))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33552,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB37) | v200(constB37) | (~v166(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33551, 33550])).
% 50.33/33.26 tff(33553,plain,
% 50.33/33.26 (~v166(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33552, 15181, 33546, 33542])).
% 50.33/33.26 tff(33554,plain,
% 50.33/33.26 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB37) | (~v197(constB37)) | v166(constB37))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB37) | (~v197(constB37)) | v166(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33555,plain,
% 50.33/33.26 (((~v197(constB37)) | v166(constB37) | v241(constB37)) <=> (v241(constB37) | (~v197(constB37)) | v166(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33556,plain,
% 50.33/33.26 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB37)) | v166(constB37) | v241(constB37))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB37) | (~v197(constB37)) | v166(constB37)))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33555])).
% 50.33/33.26 tff(33557,plain,
% 50.33/33.26 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB37)) | v166(constB37) | v241(constB37))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB37) | (~v197(constB37)) | v166(constB37))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33556, 33554])).
% 50.33/33.26 tff(33558,plain,
% 50.33/33.26 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB37)) | v166(constB37) | v241(constB37))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33559,plain,
% 50.33/33.26 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB37) | (~v197(constB37)) | v166(constB37)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33558, 33557])).
% 50.33/33.26 tff(33560,plain,
% 50.33/33.26 (v241(constB37) | (~v197(constB37))),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33559, 15198, 33553])).
% 50.33/33.26 tff(33561,plain,
% 50.33/33.26 (v241(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33560, 33515])).
% 50.33/33.26 tff(33562,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB37)) | (~v223(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB37)) | (~v223(constB37, 2)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33563,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB37)) | (~v223(constB37, 2)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33564,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB37)) | (~v223(constB37, 2))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33563, 33562])).
% 50.33/33.26 tff(33565,plain,
% 50.33/33.26 (~v223(constB37, 2)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33564, 15216, 33561])).
% 50.33/33.26 tff(33566,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB37)) | v223(constB37, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB37)) | v223(constB37, 2))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33567,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB37)) | v223(constB37, 2))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33568,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB37)) | v223(constB37, 2)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33567, 33566])).
% 50.33/33.26 tff(33569,plain,
% 50.33/33.26 (~v224(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33568, 15227, 33565])).
% 50.33/33.26 tff(33570,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB37) | v224(constB37) | (~v236(constB37)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB37) | v224(constB37) | (~v236(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33571,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB37) | v224(constB37) | (~v236(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33572,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB37) | v224(constB37) | (~v236(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33571, 33570])).
% 50.33/33.26 tff(33573,plain,
% 50.33/33.26 (~v236(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33572, 15241, 33569, 33530])).
% 50.33/33.26 tff(33574,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB37) | (~v232(constB37)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB37) | (~v232(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33575,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB37) | (~v232(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33576,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB37) | (~v232(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33575, 33574])).
% 50.33/33.26 tff(33577,plain,
% 50.33/33.26 (~v232(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33576, 15255, 33573])).
% 50.33/33.26 tff(33578,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v148(constB37)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB37) | v140(constB37) | (~v148(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33579,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v148(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33580,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB37) | v140(constB37) | (~v148(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33579, 33578])).
% 50.33/33.26 tff(33581,plain,
% 50.33/33.26 (~v148(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33580, 15269, 33538, 33534])).
% 50.33/33.26 tff(33582,plain,
% 50.33/33.26 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB37) | v252(constB37) | (~v197(constB37)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB37) | v252(constB37) | (~v197(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33583,plain,
% 50.33/33.26 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB37) | v252(constB37) | (~v197(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33584,plain,
% 50.33/33.26 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB37) | v252(constB37) | (~v197(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33583, 33582])).
% 50.33/33.26 tff(33585,plain,
% 50.33/33.26 (v252(constB37) | (~v197(constB37))),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33584, 15283, 33581])).
% 50.33/33.26 tff(33586,plain,
% 50.33/33.26 (v252(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33585, 33515])).
% 50.33/33.26 tff(33587,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB37)) | (~v223(constB37, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB37)) | (~v223(constB37, 3)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33588,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB37)) | (~v223(constB37, 3)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33589,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB37)) | (~v223(constB37, 3))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33588, 33587])).
% 50.33/33.26 tff(33590,plain,
% 50.33/33.26 (~v223(constB37, 3)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33589, 15298, 33586])).
% 50.33/33.26 tff(33591,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB37)) | v223(constB37, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB37)) | v223(constB37, 3))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33592,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB37)) | v223(constB37, 3))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33593,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB37)) | v223(constB37, 3)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33592, 33591])).
% 50.33/33.26 tff(33594,plain,
% 50.33/33.26 (~v237(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33593, 15309, 33590])).
% 50.33/33.26 tff(33595,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB37) | v237(constB37) | (~v248(constB37)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB37) | v237(constB37) | (~v248(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33596,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB37) | v237(constB37) | (~v248(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33597,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB37) | v237(constB37) | (~v248(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 50.33/33.26 tff(33598,plain,
% 50.33/33.26 (v232(constB37) | (~v248(constB37))),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33597, 15323, 33594])).
% 50.33/33.26 tff(33599,plain,
% 50.33/33.26 (~v248(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33598, 33577])).
% 50.33/33.26 tff(33600,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB37) | (~v244(constB37)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB37) | (~v244(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33601,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB37) | (~v244(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33602,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB37) | (~v244(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33601, 33600])).
% 50.33/33.26 tff(33603,plain,
% 50.33/33.26 (~v244(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33602, 15338, 33599])).
% 50.33/33.26 tff(33604,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB37) | (~v216(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB37) | (~v216(constB37, 1)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33605,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB37) | (~v216(constB37, 1)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33606,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB37) | (~v216(constB37, 1))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33605, 33604])).
% 50.33/33.26 tff(33607,plain,
% 50.33/33.26 (~v216(constB37, 1)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33606, 15352, 33603])).
% 50.33/33.26 tff(33608,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB37)) | v216(constB37, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB37)) | v216(constB37, 1))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33609,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB37)) | v216(constB37, 1))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33610,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB37)) | v216(constB37, 1)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33609, 33608])).
% 50.33/33.26 tff(33611,plain,
% 50.33/33.26 (~v254(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33610, 15363, 33607])).
% 50.33/33.26 tff(33612,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB37) | (~v221(constB37)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB37) | (~v221(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33613,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB37) | (~v221(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33614,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB37) | (~v221(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33613, 33612])).
% 50.33/33.26 tff(33615,plain,
% 50.33/33.26 (~v221(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33614, 15377, 33569])).
% 50.33/33.26 tff(33616,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB37) | (~v231(constB37)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB37) | (~v231(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33617,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB37) | (~v231(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33618,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB37) | (~v231(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33617, 33616])).
% 50.33/33.26 tff(33619,plain,
% 50.33/33.26 (~v231(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33618, 15391, 33594])).
% 50.33/33.26 tff(33620,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB37) | v231(constB37) | (~v243(constB37)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB37) | v231(constB37) | (~v243(constB37)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33621,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB37) | v231(constB37) | (~v243(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33622,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB37) | v231(constB37) | (~v243(constB37))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33621, 33620])).
% 50.33/33.26 tff(33623,plain,
% 50.33/33.26 (~v243(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33622, 15405, 33619, 33615])).
% 50.33/33.26 tff(33624,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB37) | v255(constB37))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB37) | v255(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33625,plain,
% 50.33/33.26 ((v255(constB37) | v243(constB37)) <=> (v243(constB37) | v255(constB37))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33626,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB37) | v243(constB37))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB37) | v255(constB37)))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33625])).
% 50.33/33.26 tff(33627,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB37) | v243(constB37))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB37) | v255(constB37))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33626, 33624])).
% 50.33/33.26 tff(33628,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB37) | v243(constB37))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33629,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB37) | v255(constB37)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33628, 33627])).
% 50.33/33.26 tff(33630,plain,
% 50.33/33.26 (v255(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33629, 15416, 33623])).
% 50.33/33.26 tff(33631,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB37)) | (~v216(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB37)) | (~v216(constB37, 2)))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33632,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB37)) | (~v216(constB37, 2)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33633,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB37)) | (~v216(constB37, 2))),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33632, 33631])).
% 50.33/33.26 tff(33634,plain,
% 50.33/33.26 (~v216(constB37, 2)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33633, 15433, 33630])).
% 50.33/33.26 tff(33635,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB37)) | v254(constB37) | v216(constB37, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB37)) | v254(constB37) | v216(constB37, 2))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33636,plain,
% 50.33/33.26 ((v216(constB37, 2) | v254(constB37) | (~v215(constB37))) <=> ((~v215(constB37)) | v254(constB37) | v216(constB37, 2))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33637,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB37, 2) | v254(constB37) | (~v215(constB37)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB37)) | v254(constB37) | v216(constB37, 2)))),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33636])).
% 50.33/33.26 tff(33638,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB37, 2) | v254(constB37) | (~v215(constB37)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB37)) | v254(constB37) | v216(constB37, 2))),
% 50.33/33.26 inference(transitivity,[status(thm)],[33637, 33635])).
% 50.33/33.26 tff(33639,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB37, 2) | v254(constB37) | (~v215(constB37)))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33640,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB37)) | v254(constB37) | v216(constB37, 2)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33639, 33638])).
% 50.33/33.26 tff(33641,plain,
% 50.33/33.26 ((~v215(constB37)) | v254(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33640, 15447, 33634])).
% 50.33/33.26 tff(33642,plain,
% 50.33/33.26 (~v215(constB37)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33641, 33611])).
% 50.33/33.26 tff(33643,plain,
% 50.33/33.26 ($false),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33642, 33480])).
% 50.33/33.26 tff(33644,plain,(~(constB37 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.33/33.26 tff(33645,assumption,(constB173 = sK_VarCurr), introduced(assumption)).
% 50.33/33.26 tff(33646,plain,
% 50.33/33.26 (v215(constB173) <=> v215(sK_VarCurr)),
% 50.33/33.26 inference(monotonicity,[status(thm)],[33645])).
% 50.33/33.26 tff(33647,plain,
% 50.33/33.26 (v215(sK_VarCurr) <=> v215(constB173)),
% 50.33/33.26 inference(symmetry,[status(thm)],[33646])).
% 50.33/33.26 tff(33648,plain,
% 50.33/33.26 (v215(constB173)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[34, 33647])).
% 50.33/33.26 tff(33649,plain,
% 50.33/33.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB173, 2)) | v90(constB173, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB173, 2)) | v90(constB173, 2))),
% 50.33/33.26 inference(rewrite,[status(thm)],[])).
% 50.33/33.26 tff(33650,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB173, 2)) | v90(constB173, 2))),
% 50.33/33.26 inference(quant_inst,[status(thm)],[])).
% 50.33/33.26 tff(33651,plain,
% 50.33/33.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB173, 2)) | v90(constB173, 2)),
% 50.33/33.26 inference(modus_ponens,[status(thm)],[33650, 33649])).
% 50.33/33.26 tff(33652,plain,
% 50.33/33.26 (~v88(constB173, 2)),
% 50.33/33.26 inference(unit_resolution,[status(thm)],[33651, 26020, 21532])).
% 50.33/33.27 tff(33653,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB173, 0)) | v90(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB173, 0)) | v90(constB173, 0))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33654,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB173, 0)) | v90(constB173, 0))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33655,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB173, 0)) | v90(constB173, 0)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33654, 33653])).
% 50.33/33.27 tff(33656,plain,
% 50.33/33.27 (~v88(constB173, 0)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33655, 14930, 21597])).
% 50.33/33.27 tff(33657,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB173, 1)) | v88(constB173, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB173, 1)) | v88(constB173, 1))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33658,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB173, 1)) | v88(constB173, 1))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33659,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB173, 1)) | v88(constB173, 1)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33658, 33657])).
% 50.33/33.27 tff(33660,plain,
% 50.33/33.27 (v88(constB173, 1)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33659, 15014, 21563])).
% 50.33/33.27 tff(33661,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33662,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33663,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33662, 33661])).
% 50.33/33.27 tff(33664,plain,
% 50.33/33.27 (v143(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33663, 26042, 33660, 33656, 33652])).
% 50.33/33.27 tff(33665,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB173) | (~v143(constB173)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB173) | (~v143(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33666,plain,
% 50.33/33.27 (((~v143(constB173)) | v142(constB173)) <=> (v142(constB173) | (~v143(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33667,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB173)) | v142(constB173))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB173) | (~v143(constB173))))),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33666])).
% 50.33/33.27 tff(33668,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB173)) | v142(constB173))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB173) | (~v143(constB173)))),
% 50.33/33.27 inference(transitivity,[status(thm)],[33667, 33665])).
% 50.33/33.27 tff(33669,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB173)) | v142(constB173))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33670,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB173) | (~v143(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33669, 33668])).
% 50.33/33.27 tff(33671,plain,
% 50.33/33.27 (v142(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33670, 26056, 33664])).
% 50.33/33.27 tff(33672,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB173)) | v198(constB173))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB173)) | v198(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33673,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB173)) | v198(constB173))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33674,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB173)) | v198(constB173)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33673, 33672])).
% 50.33/33.27 tff(33675,plain,
% 50.33/33.27 (v198(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33674, 15053, 33671])).
% 50.33/33.27 tff(33676,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB173)) | (~v201(constB173)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB173)) | (~v201(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33677,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB173)) | (~v201(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33678,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB173)) | (~v201(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33677, 33676])).
% 50.33/33.27 tff(33679,plain,
% 50.33/33.27 (~v201(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33678, 15064, 33675])).
% 50.33/33.27 tff(33680,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB173) | (~v198(constB173)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB173) | (~v198(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33681,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB173) | (~v198(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33682,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB173) | (~v198(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33681, 33680])).
% 50.33/33.27 tff(33683,plain,
% 50.33/33.27 (v197(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33682, 15078, 33675])).
% 50.33/33.27 tff(33684,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB173) | (~v197(constB173)) | v201(constB173))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB173) | (~v197(constB173)) | v201(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33685,plain,
% 50.33/33.27 (((~v197(constB173)) | v201(constB173) | v227(constB173)) <=> (v227(constB173) | (~v197(constB173)) | v201(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33686,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB173)) | v201(constB173) | v227(constB173))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB173) | (~v197(constB173)) | v201(constB173)))),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33685])).
% 50.33/33.27 tff(33687,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB173)) | v201(constB173) | v227(constB173))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB173) | (~v197(constB173)) | v201(constB173))),
% 50.33/33.27 inference(transitivity,[status(thm)],[33686, 33684])).
% 50.33/33.27 tff(33688,plain,
% 50.33/33.27 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB173)) | v201(constB173) | v227(constB173))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33689,plain,
% 50.33/33.27 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB173) | (~v197(constB173)) | v201(constB173)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 50.33/33.27 tff(33690,plain,
% 50.33/33.27 (v227(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33689, 15092, 33683, 33679])).
% 50.33/33.27 tff(33691,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB173)) | (~v223(constB173, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB173)) | (~v223(constB173, 0)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33692,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB173)) | (~v223(constB173, 0)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33693,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB173)) | (~v223(constB173, 0))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33692, 33691])).
% 50.33/33.27 tff(33694,plain,
% 50.33/33.27 (~v223(constB173, 0)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33693, 15109, 33690])).
% 50.33/33.27 tff(33695,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB173)) | v223(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB173)) | v223(constB173, 0))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33696,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB173)) | v223(constB173, 0))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33697,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB173)) | v223(constB173, 0)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33696, 33695])).
% 50.33/33.27 tff(33698,plain,
% 50.33/33.27 (~v222(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33697, 15120, 33694])).
% 50.33/33.27 tff(33699,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB173)) | (~v88(constB173, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB173)) | (~v88(constB173, 1)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33700,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB173)) | (~v88(constB173, 1)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33701,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB173)) | (~v88(constB173, 1))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33700, 33699])).
% 50.33/33.27 tff(33702,plain,
% 50.33/33.27 (~v139(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33701, 15131, 33660])).
% 50.33/33.27 tff(33703,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB173)) | (~v88(constB173, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB173)) | (~v88(constB173, 1)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33704,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB173)) | (~v88(constB173, 1)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33705,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB173)) | (~v88(constB173, 1))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 50.33/33.27 tff(33706,plain,
% 50.33/33.27 (~v140(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33705, 15142, 33660])).
% 50.33/33.27 tff(33707,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v200(constB173)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB173) | v140(constB173) | (~v200(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33708,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v200(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33709,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB173) | v140(constB173) | (~v200(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 50.33/33.27 tff(33710,plain,
% 50.33/33.27 (~v200(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33709, 15156, 33706, 33702])).
% 50.33/33.27 tff(33711,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB173)) | v88(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB173)) | v88(constB173, 0))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33712,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB173)) | v88(constB173, 0))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33713,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB173)) | v88(constB173, 0)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33712, 33711])).
% 50.33/33.27 tff(33714,plain,
% 50.33/33.27 (~v141(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33713, 26106, 33656])).
% 50.33/33.27 tff(33715,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB173) | (~v166(constB173)) | v200(constB173))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB173) | (~v166(constB173)) | v200(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33716,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB173) | (~v166(constB173)) | v200(constB173))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33717,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB173) | (~v166(constB173)) | v200(constB173)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33716, 33715])).
% 50.33/33.27 tff(33718,plain,
% 50.33/33.27 (~v166(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33717, 15181, 33714, 33710])).
% 50.33/33.27 tff(33719,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB173) | (~v197(constB173)) | v166(constB173))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB173) | (~v197(constB173)) | v166(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33720,plain,
% 50.33/33.27 (((~v197(constB173)) | v166(constB173) | v241(constB173)) <=> (v241(constB173) | (~v197(constB173)) | v166(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33721,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB173)) | v166(constB173) | v241(constB173))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB173) | (~v197(constB173)) | v166(constB173)))),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33720])).
% 50.33/33.27 tff(33722,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB173)) | v166(constB173) | v241(constB173))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB173) | (~v197(constB173)) | v166(constB173))),
% 50.33/33.27 inference(transitivity,[status(thm)],[33721, 33719])).
% 50.33/33.27 tff(33723,plain,
% 50.33/33.27 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB173)) | v166(constB173) | v241(constB173))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33724,plain,
% 50.33/33.27 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB173) | (~v197(constB173)) | v166(constB173)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 50.33/33.27 tff(33725,plain,
% 50.33/33.27 (v241(constB173) | (~v197(constB173))),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33724, 15198, 33718])).
% 50.33/33.27 tff(33726,plain,
% 50.33/33.27 (v241(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33725, 33683])).
% 50.33/33.27 tff(33727,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB173)) | (~v223(constB173, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB173)) | (~v223(constB173, 2)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33728,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB173)) | (~v223(constB173, 2)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33729,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB173)) | (~v223(constB173, 2))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33728, 33727])).
% 50.33/33.27 tff(33730,plain,
% 50.33/33.27 (~v223(constB173, 2)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33729, 15216, 33726])).
% 50.33/33.27 tff(33731,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB173)) | v223(constB173, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB173)) | v223(constB173, 2))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33732,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB173)) | v223(constB173, 2))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33733,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB173)) | v223(constB173, 2)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33732, 33731])).
% 50.33/33.27 tff(33734,plain,
% 50.33/33.27 (~v224(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33733, 15227, 33730])).
% 50.33/33.27 tff(33735,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB173) | v224(constB173) | (~v236(constB173)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB173) | v224(constB173) | (~v236(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33736,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB173) | v224(constB173) | (~v236(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33737,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB173) | v224(constB173) | (~v236(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33736, 33735])).
% 50.33/33.27 tff(33738,plain,
% 50.33/33.27 (~v236(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33737, 15241, 33734, 33698])).
% 50.33/33.27 tff(33739,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB173) | (~v232(constB173)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB173) | (~v232(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33740,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB173) | (~v232(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33741,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB173) | (~v232(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33740, 33739])).
% 50.33/33.27 tff(33742,plain,
% 50.33/33.27 (~v232(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33741, 15255, 33738])).
% 50.33/33.27 tff(33743,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v148(constB173)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB173) | v140(constB173) | (~v148(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33744,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v148(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33745,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB173) | v140(constB173) | (~v148(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33744, 33743])).
% 50.33/33.27 tff(33746,plain,
% 50.33/33.27 (~v148(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33745, 15269, 33706, 33702])).
% 50.33/33.27 tff(33747,plain,
% 50.33/33.27 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB173) | v252(constB173) | (~v197(constB173)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB173) | v252(constB173) | (~v197(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33748,plain,
% 50.33/33.27 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB173) | v252(constB173) | (~v197(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33749,plain,
% 50.33/33.27 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB173) | v252(constB173) | (~v197(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33748, 33747])).
% 50.33/33.27 tff(33750,plain,
% 50.33/33.27 (v252(constB173) | (~v197(constB173))),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33749, 15283, 33746])).
% 50.33/33.27 tff(33751,plain,
% 50.33/33.27 (v252(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33750, 33683])).
% 50.33/33.27 tff(33752,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB173)) | (~v223(constB173, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB173)) | (~v223(constB173, 3)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33753,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB173)) | (~v223(constB173, 3)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33754,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB173)) | (~v223(constB173, 3))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33753, 33752])).
% 50.33/33.27 tff(33755,plain,
% 50.33/33.27 (~v223(constB173, 3)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33754, 15298, 33751])).
% 50.33/33.27 tff(33756,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB173)) | v223(constB173, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB173)) | v223(constB173, 3))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33757,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB173)) | v223(constB173, 3))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33758,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB173)) | v223(constB173, 3)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33757, 33756])).
% 50.33/33.27 tff(33759,plain,
% 50.33/33.27 (~v237(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33758, 15309, 33755])).
% 50.33/33.27 tff(33760,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB173) | v237(constB173) | (~v248(constB173)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB173) | v237(constB173) | (~v248(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33761,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB173) | v237(constB173) | (~v248(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33762,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB173) | v237(constB173) | (~v248(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33761, 33760])).
% 50.33/33.27 tff(33763,plain,
% 50.33/33.27 (v232(constB173) | (~v248(constB173))),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33762, 15323, 33759])).
% 50.33/33.27 tff(33764,plain,
% 50.33/33.27 (~v248(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33763, 33742])).
% 50.33/33.27 tff(33765,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB173) | (~v244(constB173)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB173) | (~v244(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33766,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB173) | (~v244(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33767,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB173) | (~v244(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33766, 33765])).
% 50.33/33.27 tff(33768,plain,
% 50.33/33.27 (~v244(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33767, 15338, 33764])).
% 50.33/33.27 tff(33769,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB173) | (~v216(constB173, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB173) | (~v216(constB173, 1)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33770,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB173) | (~v216(constB173, 1)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33771,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB173) | (~v216(constB173, 1))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33770, 33769])).
% 50.33/33.27 tff(33772,plain,
% 50.33/33.27 (~v216(constB173, 1)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33771, 15352, 33768])).
% 50.33/33.27 tff(33773,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB173)) | v216(constB173, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB173)) | v216(constB173, 1))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33774,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB173)) | v216(constB173, 1))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33775,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB173)) | v216(constB173, 1)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33774, 33773])).
% 50.33/33.27 tff(33776,plain,
% 50.33/33.27 (~v254(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33775, 15363, 33772])).
% 50.33/33.27 tff(33777,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB173) | (~v221(constB173)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB173) | (~v221(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33778,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB173) | (~v221(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33779,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB173) | (~v221(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33778, 33777])).
% 50.33/33.27 tff(33780,plain,
% 50.33/33.27 (~v221(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33779, 15377, 33734])).
% 50.33/33.27 tff(33781,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB173) | (~v231(constB173)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB173) | (~v231(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33782,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB173) | (~v231(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33783,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB173) | (~v231(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33782, 33781])).
% 50.33/33.27 tff(33784,plain,
% 50.33/33.27 (~v231(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33783, 15391, 33759])).
% 50.33/33.27 tff(33785,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB173) | v231(constB173) | (~v243(constB173)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB173) | v231(constB173) | (~v243(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33786,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB173) | v231(constB173) | (~v243(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33787,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB173) | v231(constB173) | (~v243(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33786, 33785])).
% 50.33/33.27 tff(33788,plain,
% 50.33/33.27 (~v243(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33787, 15405, 33784, 33780])).
% 50.33/33.27 tff(33789,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB173) | v255(constB173))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB173) | v255(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33790,plain,
% 50.33/33.27 ((v255(constB173) | v243(constB173)) <=> (v243(constB173) | v255(constB173))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33791,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB173) | v243(constB173))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB173) | v255(constB173)))),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33790])).
% 50.33/33.27 tff(33792,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB173) | v243(constB173))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB173) | v255(constB173))),
% 50.33/33.27 inference(transitivity,[status(thm)],[33791, 33789])).
% 50.33/33.27 tff(33793,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB173) | v243(constB173))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33794,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB173) | v255(constB173)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33793, 33792])).
% 50.33/33.27 tff(33795,plain,
% 50.33/33.27 (v255(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33794, 15416, 33788])).
% 50.33/33.27 tff(33796,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB173)) | (~v216(constB173, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB173)) | (~v216(constB173, 2)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33797,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB173)) | (~v216(constB173, 2)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33798,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB173)) | (~v216(constB173, 2))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33797, 33796])).
% 50.33/33.27 tff(33799,plain,
% 50.33/33.27 (~v216(constB173, 2)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33798, 15433, 33795])).
% 50.33/33.27 tff(33800,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB173, 2) | v254(constB173) | (~v215(constB173)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB173, 2) | v254(constB173) | (~v215(constB173)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33801,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB173, 2) | v254(constB173) | (~v215(constB173)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33802,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB173, 2) | v254(constB173) | (~v215(constB173))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 50.33/33.27 tff(33803,plain,
% 50.33/33.27 (v254(constB173) | (~v215(constB173))),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33802, 15447, 33799])).
% 50.33/33.27 tff(33804,plain,
% 50.33/33.27 (~v215(constB173)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33803, 33776])).
% 50.33/33.27 tff(33805,plain,
% 50.33/33.27 ($false),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33804, 33648])).
% 50.33/33.27 tff(33806,plain,(~(constB173 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.33/33.27 tff(33807,assumption,(constB187 = sK_VarCurr), introduced(assumption)).
% 50.33/33.27 tff(33808,plain,
% 50.33/33.27 (v215(constB187) <=> v215(sK_VarCurr)),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33807])).
% 50.33/33.27 tff(33809,plain,
% 50.33/33.27 (v215(sK_VarCurr) <=> v215(constB187)),
% 50.33/33.27 inference(symmetry,[status(thm)],[33808])).
% 50.33/33.27 tff(33810,plain,
% 50.33/33.27 (v215(constB187)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[34, 33809])).
% 50.33/33.27 tff(33811,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB187, 2)) | v90(constB187, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB187, 2)) | v90(constB187, 2))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33812,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB187, 2)) | v90(constB187, 2))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33813,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB187, 2)) | v90(constB187, 2)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 50.33/33.27 tff(33814,plain,
% 50.33/33.27 (~v88(constB187, 2)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33813, 26020, 23019])).
% 50.33/33.27 tff(33815,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB187, 1)) | v88(constB187, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB187, 1)) | v88(constB187, 1))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33816,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB187, 1)) | v88(constB187, 1))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33817,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB187, 1)) | v88(constB187, 1)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33816, 33815])).
% 50.33/33.27 tff(33818,plain,
% 50.33/33.27 (v88(constB187, 1)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33817, 15014, 23050])).
% 50.33/33.27 tff(33819,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB187, 0)) | v88(constB187, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB187, 0)) | v88(constB187, 0))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33820,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB187, 0)) | v88(constB187, 0))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33821,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB187, 0)) | v88(constB187, 0)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 50.33/33.27 tff(33822,plain,
% 50.33/33.27 (v88(constB187, 0)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33821, 26254, 23081])).
% 50.33/33.27 tff(33823,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33824,plain,
% 50.33/33.27 ((v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187)) <=> (v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33825,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187)))),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33824])).
% 50.33/33.27 tff(33826,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))),
% 50.33/33.27 inference(transitivity,[status(thm)],[33825, 33823])).
% 50.33/33.27 tff(33827,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33828,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33827, 33826])).
% 50.33/33.27 tff(33829,plain,
% 50.33/33.27 (v141(constB187)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33828, 26268, 33822, 33818, 33814])).
% 50.33/33.27 tff(33830,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB187) | (~v141(constB187)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33831,plain,
% 50.33/33.27 (((~v141(constB187)) | v199(constB187)) <=> (v199(constB187) | (~v141(constB187)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33832,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB187)) | v199(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB187) | (~v141(constB187))))),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33831])).
% 50.33/33.27 tff(33833,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB187)) | v199(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB187) | (~v141(constB187)))),
% 50.33/33.27 inference(transitivity,[status(thm)],[33832, 33830])).
% 50.33/33.27 tff(33834,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB187)) | v199(constB187))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33835,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB187) | (~v141(constB187))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33834, 33833])).
% 50.33/33.27 tff(33836,plain,
% 50.33/33.27 (v199(constB187)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33835, 26282, 33829])).
% 50.33/33.27 tff(33837,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB187)) | v198(constB187))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB187)) | v198(constB187))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33838,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB187)) | v198(constB187))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33839,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB187)) | v198(constB187)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33838, 33837])).
% 50.33/33.27 tff(33840,plain,
% 50.33/33.27 (v198(constB187)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33839, 26293, 33836])).
% 50.33/33.27 tff(33841,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB187)) | (~v201(constB187)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB187)) | (~v201(constB187)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33842,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB187)) | (~v201(constB187)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33843,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB187)) | (~v201(constB187))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33842, 33841])).
% 50.33/33.27 tff(33844,plain,
% 50.33/33.27 (~v201(constB187)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33843, 15064, 33840])).
% 50.33/33.27 tff(33845,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB187) | (~v198(constB187)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB187) | (~v198(constB187)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33846,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB187) | (~v198(constB187)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33847,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB187) | (~v198(constB187))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33846, 33845])).
% 50.33/33.27 tff(33848,plain,
% 50.33/33.27 (v197(constB187)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33847, 15078, 33840])).
% 50.33/33.27 tff(33849,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB187) | (~v197(constB187)) | v201(constB187))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB187) | (~v197(constB187)) | v201(constB187))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33850,plain,
% 50.33/33.27 (((~v197(constB187)) | v201(constB187) | v227(constB187)) <=> (v227(constB187) | (~v197(constB187)) | v201(constB187))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33851,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB187)) | v201(constB187) | v227(constB187))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB187) | (~v197(constB187)) | v201(constB187)))),
% 50.33/33.27 inference(monotonicity,[status(thm)],[33850])).
% 50.33/33.27 tff(33852,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB187)) | v201(constB187) | v227(constB187))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB187) | (~v197(constB187)) | v201(constB187))),
% 50.33/33.27 inference(transitivity,[status(thm)],[33851, 33849])).
% 50.33/33.27 tff(33853,plain,
% 50.33/33.27 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB187)) | v201(constB187) | v227(constB187))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33854,plain,
% 50.33/33.27 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB187) | (~v197(constB187)) | v201(constB187)),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33853, 33852])).
% 50.33/33.27 tff(33855,plain,
% 50.33/33.27 (v227(constB187)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33854, 15092, 33848, 33844])).
% 50.33/33.27 tff(33856,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB187)) | (~v223(constB187, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB187)) | (~v223(constB187, 0)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33857,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB187)) | (~v223(constB187, 0)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33858,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB187)) | (~v223(constB187, 0))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33857, 33856])).
% 50.33/33.27 tff(33859,plain,
% 50.33/33.27 (~v223(constB187, 0)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33858, 15109, 33855])).
% 50.33/33.27 tff(33860,plain,
% 50.33/33.27 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB187)) | (~v199(constB187)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB187)) | (~v199(constB187)))),
% 50.33/33.27 inference(rewrite,[status(thm)],[])).
% 50.33/33.27 tff(33861,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB187)) | (~v199(constB187)))),
% 50.33/33.27 inference(quant_inst,[status(thm)],[])).
% 50.33/33.27 tff(33862,plain,
% 50.33/33.27 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB187)) | (~v199(constB187))),
% 50.33/33.27 inference(modus_ponens,[status(thm)],[33861, 33860])).
% 50.33/33.27 tff(33863,plain,
% 50.33/33.27 (~v183(constB187)),
% 50.33/33.27 inference(unit_resolution,[status(thm)],[33862, 26326, 33836])).
% 50.33/33.27 tff(33864,plain,
% 50.33/33.27 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB187) | (~v197(constB187)) | v183(constB187))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | (~v197(constB187)) | v183(constB187))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33865,plain,
% 50.33/33.28 (((~v197(constB187)) | v183(constB187) | v228(constB187)) <=> (v228(constB187) | (~v197(constB187)) | v183(constB187))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33866,plain,
% 50.33/33.28 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB187) | (~v197(constB187)) | v183(constB187)))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[33865])).
% 50.33/33.28 tff(33867,plain,
% 50.33/33.28 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | (~v197(constB187)) | v183(constB187))),
% 50.33/33.28 inference(transitivity,[status(thm)],[33866, 33864])).
% 50.33/33.28 tff(33868,plain,
% 50.33/33.28 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33869,plain,
% 50.33/33.28 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | (~v197(constB187)) | v183(constB187)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33868, 33867])).
% 50.33/33.28 tff(33870,plain,
% 50.33/33.28 (v228(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33869, 26340, 33848, 33863])).
% 50.33/33.28 tff(33871,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB187)) | (~v223(constB187, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB187)) | (~v223(constB187, 1)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33872,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB187)) | (~v223(constB187, 1)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33873,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB187)) | (~v223(constB187, 1))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33872, 33871])).
% 50.33/33.28 tff(33874,plain,
% 50.33/33.28 (~v223(constB187, 1)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33873, 26357, 33870])).
% 50.33/33.28 tff(33875,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB187, 0) | v223(constB187, 1) | (~v229(constB187)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB187, 0) | v223(constB187, 1) | (~v229(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33876,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB187, 0) | v223(constB187, 1) | (~v229(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33877,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB187, 0) | v223(constB187, 1) | (~v229(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 50.33/33.28 tff(33878,plain,
% 50.33/33.28 (~v229(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33877, 26371, 33874, 33859])).
% 50.33/33.28 tff(33879,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB187) | (~v225(constB187)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB187) | (~v225(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33880,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB187) | (~v225(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33881,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB187) | (~v225(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 50.33/33.28 tff(33882,plain,
% 50.33/33.28 (~v225(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33881, 26388, 33878])).
% 50.33/33.28 tff(33883,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB187) | (~v224(constB187)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB187) | (~v224(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33884,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB187) | (~v224(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33885,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB187) | (~v224(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33884, 33883])).
% 50.33/33.28 tff(33886,plain,
% 50.33/33.28 (~v224(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33885, 26402, 33882])).
% 50.33/33.28 tff(33887,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB187)) | v223(constB187, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB187)) | v223(constB187, 1))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33888,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB187)) | v223(constB187, 1))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33889,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB187)) | v223(constB187, 1)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33888, 33887])).
% 50.33/33.28 tff(33890,plain,
% 50.33/33.28 (~v222(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33889, 26413, 33874])).
% 50.33/33.28 tff(33891,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB187) | v224(constB187) | (~v236(constB187)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB187) | v224(constB187) | (~v236(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33892,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB187) | v224(constB187) | (~v236(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33893,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB187) | v224(constB187) | (~v236(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33892, 33891])).
% 50.33/33.28 tff(33894,plain,
% 50.33/33.28 (v224(constB187) | (~v236(constB187))),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33893, 15241, 33890])).
% 50.33/33.28 tff(33895,plain,
% 50.33/33.28 (~v236(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33894, 33886])).
% 50.33/33.28 tff(33896,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB187) | (~v232(constB187)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB187) | (~v232(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33897,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB187) | (~v232(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33898,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB187) | (~v232(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33897, 33896])).
% 50.33/33.28 tff(33899,plain,
% 50.33/33.28 (~v232(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33898, 15255, 33895])).
% 50.33/33.28 tff(33900,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB187)) | (~v88(constB187, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB187)) | (~v88(constB187, 1)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33901,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB187)) | (~v88(constB187, 1)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33902,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB187)) | (~v88(constB187, 1))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33901, 33900])).
% 50.33/33.28 tff(33903,plain,
% 50.33/33.28 (~v140(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33902, 15142, 33818])).
% 50.33/33.28 tff(33904,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB187)) | (~v88(constB187, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB187)) | (~v88(constB187, 0)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33905,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB187)) | (~v88(constB187, 0)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33906,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB187)) | (~v88(constB187, 0))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33905, 33904])).
% 50.33/33.28 tff(33907,plain,
% 50.33/33.28 (~v139(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33906, 26437, 33822])).
% 50.33/33.28 tff(33908,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v148(constB187)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB187) | v140(constB187) | (~v148(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33909,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v148(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33910,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB187) | v140(constB187) | (~v148(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33909, 33908])).
% 50.33/33.28 tff(33911,plain,
% 50.33/33.28 (~v148(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33910, 15269, 33907, 33903])).
% 50.33/33.28 tff(33912,plain,
% 50.33/33.28 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB187) | v252(constB187) | (~v197(constB187)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB187) | v252(constB187) | (~v197(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33913,plain,
% 50.33/33.28 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB187) | v252(constB187) | (~v197(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33914,plain,
% 50.33/33.28 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB187) | v252(constB187) | (~v197(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33913, 33912])).
% 50.33/33.28 tff(33915,plain,
% 50.33/33.28 (v252(constB187) | (~v197(constB187))),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33914, 15283, 33911])).
% 50.33/33.28 tff(33916,plain,
% 50.33/33.28 (v252(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33915, 33848])).
% 50.33/33.28 tff(33917,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB187)) | (~v223(constB187, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB187)) | (~v223(constB187, 3)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33918,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB187)) | (~v223(constB187, 3)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33919,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB187)) | (~v223(constB187, 3))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33918, 33917])).
% 50.33/33.28 tff(33920,plain,
% 50.33/33.28 (~v223(constB187, 3)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33919, 15298, 33916])).
% 50.33/33.28 tff(33921,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB187)) | v223(constB187, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB187)) | v223(constB187, 3))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33922,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB187)) | v223(constB187, 3))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33923,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB187)) | v223(constB187, 3)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33922, 33921])).
% 50.33/33.28 tff(33924,plain,
% 50.33/33.28 (~v237(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33923, 15309, 33920])).
% 50.33/33.28 tff(33925,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB187) | v237(constB187) | (~v248(constB187)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB187) | v237(constB187) | (~v248(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33926,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB187) | v237(constB187) | (~v248(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33927,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB187) | v237(constB187) | (~v248(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33926, 33925])).
% 50.33/33.28 tff(33928,plain,
% 50.33/33.28 (v232(constB187) | (~v248(constB187))),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33927, 15323, 33924])).
% 50.33/33.28 tff(33929,plain,
% 50.33/33.28 (~v248(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33928, 33899])).
% 50.33/33.28 tff(33930,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB187) | (~v244(constB187)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB187) | (~v244(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33931,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB187) | (~v244(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33932,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB187) | (~v244(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33931, 33930])).
% 50.33/33.28 tff(33933,plain,
% 50.33/33.28 (~v244(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33932, 15338, 33929])).
% 50.33/33.28 tff(33934,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB187) | (~v216(constB187, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB187) | (~v216(constB187, 1)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33935,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB187) | (~v216(constB187, 1)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33936,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB187) | (~v216(constB187, 1))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33935, 33934])).
% 50.33/33.28 tff(33937,plain,
% 50.33/33.28 (~v216(constB187, 1)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33936, 15352, 33933])).
% 50.33/33.28 tff(33938,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB187)) | v216(constB187, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB187)) | v216(constB187, 1))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33939,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB187)) | v216(constB187, 1))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33940,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB187)) | v216(constB187, 1)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33939, 33938])).
% 50.33/33.28 tff(33941,plain,
% 50.33/33.28 (~v254(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33940, 15363, 33937])).
% 50.33/33.28 tff(33942,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB187) | (~v231(constB187)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB187) | (~v231(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33943,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB187) | (~v231(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33944,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB187) | (~v231(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33943, 33942])).
% 50.33/33.28 tff(33945,plain,
% 50.33/33.28 (~v231(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33944, 15391, 33924])).
% 50.33/33.28 tff(33946,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB187) | (~v221(constB187)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB187) | (~v221(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33947,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB187) | (~v221(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33948,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB187) | (~v221(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33947, 33946])).
% 50.33/33.28 tff(33949,plain,
% 50.33/33.28 (~v221(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33948, 26489, 33890])).
% 50.33/33.28 tff(33950,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB187) | v231(constB187) | (~v243(constB187)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB187) | v231(constB187) | (~v243(constB187)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33951,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB187) | v231(constB187) | (~v243(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33952,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB187) | v231(constB187) | (~v243(constB187))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33951, 33950])).
% 50.33/33.28 tff(33953,plain,
% 50.33/33.28 (~v243(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33952, 15405, 33949, 33945])).
% 50.33/33.28 tff(33954,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB187) | v255(constB187))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB187) | v255(constB187))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33955,plain,
% 50.33/33.28 ((v255(constB187) | v243(constB187)) <=> (v243(constB187) | v255(constB187))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33956,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB187) | v243(constB187))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB187) | v255(constB187)))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[33955])).
% 50.33/33.28 tff(33957,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB187) | v243(constB187))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB187) | v255(constB187))),
% 50.33/33.28 inference(transitivity,[status(thm)],[33956, 33954])).
% 50.33/33.28 tff(33958,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB187) | v243(constB187))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33959,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB187) | v255(constB187)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 50.33/33.28 tff(33960,plain,
% 50.33/33.28 (v255(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33959, 15416, 33953])).
% 50.33/33.28 tff(33961,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB187)) | (~v216(constB187, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB187)) | (~v216(constB187, 2)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33962,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB187)) | (~v216(constB187, 2)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33963,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB187)) | (~v216(constB187, 2))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33962, 33961])).
% 50.33/33.28 tff(33964,plain,
% 50.33/33.28 (~v216(constB187, 2)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33963, 15433, 33960])).
% 50.33/33.28 tff(33965,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, 2) | (~v215(constB187)) | v254(constB187))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB187, 2) | (~v215(constB187)) | v254(constB187))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33966,plain,
% 50.33/33.28 ((v216(constB187, 2) | v254(constB187) | (~v215(constB187))) <=> (v216(constB187, 2) | (~v215(constB187)) | v254(constB187))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33967,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, 2) | v254(constB187) | (~v215(constB187)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, 2) | (~v215(constB187)) | v254(constB187)))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[33966])).
% 50.33/33.28 tff(33968,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, 2) | v254(constB187) | (~v215(constB187)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB187, 2) | (~v215(constB187)) | v254(constB187))),
% 50.33/33.28 inference(transitivity,[status(thm)],[33967, 33965])).
% 50.33/33.28 tff(33969,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, 2) | v254(constB187) | (~v215(constB187)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33970,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB187, 2) | (~v215(constB187)) | v254(constB187)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33969, 33968])).
% 50.33/33.28 tff(33971,plain,
% 50.33/33.28 ((~v215(constB187)) | v254(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33970, 15447, 33964])).
% 50.33/33.28 tff(33972,plain,
% 50.33/33.28 (~v215(constB187)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33971, 33941])).
% 50.33/33.28 tff(33973,plain,
% 50.33/33.28 ($false),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33972, 33810])).
% 50.33/33.28 tff(33974,plain,(~(constB187 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.33/33.28 tff(33975,assumption,(constB199 = sK_VarCurr), introduced(assumption)).
% 50.33/33.28 tff(33976,plain,
% 50.33/33.28 (v215(constB199) <=> v215(sK_VarCurr)),
% 50.33/33.28 inference(monotonicity,[status(thm)],[33975])).
% 50.33/33.28 tff(33977,plain,
% 50.33/33.28 (v215(sK_VarCurr) <=> v215(constB199)),
% 50.33/33.28 inference(symmetry,[status(thm)],[33976])).
% 50.33/33.28 tff(33978,plain,
% 50.33/33.28 (v215(constB199)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34, 33977])).
% 50.33/33.28 tff(33979,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB197, 0) | (~v90(constB197, 1)) | v90(constB197, 2) | v121(constB197))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB197, 0) | (~v90(constB197, 1)) | v90(constB197, 2) | v121(constB197))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33980,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB197, 0) | (~v90(constB197, 1)) | v90(constB197, 2) | v121(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33981,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB197, 0) | (~v90(constB197, 1)) | v90(constB197, 2) | v121(constB197)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 50.33/33.28 tff(33982,plain,
% 50.33/33.28 (v121(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33981, 990, 31690, 31725, 31652])).
% 50.33/33.28 tff(33983,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB197)) | v117(constB197))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB197)) | v117(constB197))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33984,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB197)) | v117(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33985,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB197)) | v117(constB197)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 50.33/33.28 tff(33986,plain,
% 50.33/33.28 (v117(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33985, 1001, 33982])).
% 50.33/33.28 tff(33987,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB197)) | v116(constB197))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB197)) | v116(constB197))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33988,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB197)) | v116(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33989,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB197)) | v116(constB197)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33988, 33987])).
% 50.33/33.28 tff(33990,plain,
% 50.33/33.28 (v116(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33989, 224, 33986])).
% 50.33/33.28 tff(33991,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB197) | (~v116(constB197)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB197) | (~v116(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33992,plain,
% 50.33/33.28 (((~v116(constB197)) | v115(constB197)) <=> (v115(constB197) | (~v116(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33993,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB197)) | v115(constB197))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB197) | (~v116(constB197))))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[33992])).
% 50.33/33.28 tff(33994,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB197)) | v115(constB197))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB197) | (~v116(constB197)))),
% 50.33/33.28 inference(transitivity,[status(thm)],[33993, 33991])).
% 50.33/33.28 tff(33995,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB197)) | v115(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(33996,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB197) | (~v116(constB197))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33995, 33994])).
% 50.33/33.28 tff(33997,plain,
% 50.33/33.28 (v115(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[33996, 238, 33990])).
% 50.33/33.28 tff(33998,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB197)) | v114(constB197))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB197)) | v114(constB197))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(33999,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB197)) | v114(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34000,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB197)) | v114(constB197)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 50.33/33.28 tff(34001,plain,
% 50.33/33.28 (v114(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34000, 252, 33997])).
% 50.33/33.28 tff(34002,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB197) | (~v114(constB197)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB197) | (~v114(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34003,plain,
% 50.33/33.28 (((~v114(constB197)) | v113(constB197)) <=> (v113(constB197) | (~v114(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34004,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB197)) | v113(constB197))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB197) | (~v114(constB197))))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[34003])).
% 50.33/33.28 tff(34005,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB197)) | v113(constB197))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB197) | (~v114(constB197)))),
% 50.33/33.28 inference(transitivity,[status(thm)],[34004, 34002])).
% 50.33/33.28 tff(34006,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB197)) | v113(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34007,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB197) | (~v114(constB197))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34006, 34005])).
% 50.33/33.28 tff(34008,plain,
% 50.33/33.28 (v113(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34007, 266, 34001])).
% 50.33/33.28 tff(34009,assumption,(v26(constB197)), introduced(assumption)).
% 50.33/33.28 tff(34010,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34011,plain,
% 50.33/33.28 ($false),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34010, 43, 34009])).
% 50.33/33.28 tff(34012,plain,(~v26(constB197)), inference(lemma,lemma(discharge,[]))).
% 50.33/33.28 tff(34013,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB197) | (~v113(constB197)) | v112(constB197))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB197) | (~v113(constB197)) | v112(constB197))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34014,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB197) | (~v113(constB197)) | v112(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34015,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB197) | (~v113(constB197)) | v112(constB197)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34014, 34013])).
% 50.33/33.28 tff(34016,plain,
% 50.33/33.28 ((~v113(constB197)) | v112(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34015, 280, 34012])).
% 50.33/33.28 tff(34017,plain,
% 50.33/33.28 (v112(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34016, 34008])).
% 50.33/33.28 tff(34018,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB197) | (~v112(constB197)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB197) | (~v112(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34019,plain,
% 50.33/33.28 (((~v112(constB197)) | v108(constB197)) <=> (v108(constB197) | (~v112(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34020,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB197)) | v108(constB197))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB197) | (~v112(constB197))))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[34019])).
% 50.33/33.28 tff(34021,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB197)) | v108(constB197))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB197) | (~v112(constB197)))),
% 50.33/33.28 inference(transitivity,[status(thm)],[34020, 34018])).
% 50.33/33.28 tff(34022,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB197)) | v108(constB197))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34023,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB197) | (~v112(constB197))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34022, 34021])).
% 50.33/33.28 tff(34024,plain,
% 50.33/33.28 (v108(constB197)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34023, 292, 34017])).
% 50.33/33.28 tff(34025,plain,
% 50.33/33.28 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34026,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 50.33/33.28 tff(34027,plain,
% 50.33/33.28 (nextState(constB197, constB198)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34026, 34025])).
% 50.33/33.28 tff(34028,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34029,plain,
% 50.33/33.28 (((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198)) <=> ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34030,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197))))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[34029])).
% 50.33/33.28 tff(34031,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197)))),
% 50.33/33.28 inference(transitivity,[status(thm)],[34030, 34028])).
% 50.33/33.28 tff(34032,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB197, constB198)) | (~v108(constB197)) | v110(constB198))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34033,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB197, constB198)) | v110(constB198) | (~v108(constB197))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34032, 34031])).
% 50.33/33.28 tff(34034,plain,
% 50.33/33.28 (v110(constB198) | (~v108(constB197))),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34033, 312, 34027])).
% 50.33/33.28 tff(34035,plain,
% 50.33/33.28 (v110(constB198)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34034, 34024])).
% 50.33/33.28 tff(34036,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34037,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34038,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB197) | (~nextState(constB197, constB198)) | (~v104(constB198))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34037, 34036])).
% 50.33/33.28 tff(34039,plain,
% 50.33/33.28 (~v104(constB198)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34038, 330, 34027, 31628])).
% 50.33/33.28 tff(34040,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34041,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB197, constB198)) | v102(constB198) | v104(constB198))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34042,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB197, constB198)) | v102(constB198) | v104(constB198)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 50.33/33.28 tff(34043,plain,
% 50.33/33.28 (v102(constB198) | v104(constB198)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34042, 344, 34027])).
% 50.33/33.28 tff(34044,plain,
% 50.33/33.28 (v102(constB198)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34043, 34039])).
% 50.33/33.28 tff(34045,plain,
% 50.33/33.28 (v1(constB198) <=> v1(constB198)),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34046,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 50.33/33.28 tff(34047,plain,
% 50.33/33.28 (v1(constB198)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 50.33/33.28 tff(34048,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34049,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34050,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB197, constB198)) | v101(constB198) | (~v102(constB198)) | (~v1(constB198))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34049, 34048])).
% 50.33/33.28 tff(34051,plain,
% 50.33/33.28 (v101(constB198) | (~v102(constB198))),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34050, 362, 34027, 34047])).
% 50.33/33.28 tff(34052,plain,
% 50.33/33.28 (v101(constB198)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34051, 34044])).
% 50.33/33.28 tff(34053,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34054,plain,
% 50.33/33.28 (((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198)) <=> ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34055,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198))))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[34054])).
% 50.33/33.28 tff(34056,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198)))),
% 50.33/33.28 inference(transitivity,[status(thm)],[34055, 34053])).
% 50.33/33.28 tff(34057,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB197, constB198)) | (~v101(constB198)) | (~v110(constB198)) | v100(constB198))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34058,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB197, constB198)) | v100(constB198) | (~v101(constB198)) | (~v110(constB198))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34057, 34056])).
% 50.33/33.28 tff(34059,plain,
% 50.33/33.28 (v100(constB198) | (~v101(constB198)) | (~v110(constB198))),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34058, 377, 34027])).
% 50.33/33.28 tff(34060,plain,
% 50.33/33.28 (v100(constB198) | (~v110(constB198))),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34059, 34052])).
% 50.33/33.28 tff(34061,plain,
% 50.33/33.28 (v100(constB198)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34060, 34035])).
% 50.33/33.28 tff(34062,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB197)) | (~v130(constB197, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB197)) | (~v130(constB197, 2)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34063,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB197)) | (~v130(constB197, 2)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34064,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB197)) | (~v130(constB197, 2))),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34063, 34062])).
% 50.33/33.28 tff(34065,plain,
% 50.33/33.28 (~v130(constB197, 2)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34064, 1090, 33982])).
% 50.33/33.28 tff(34066,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB197, 2)) | v26(constB197) | v130(constB197, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB197, 2)) | v26(constB197) | v130(constB197, 2))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34067,plain,
% 50.33/33.28 ((v26(constB197) | v130(constB197, 2) | (~v127(constB197, 2))) <=> ((~v127(constB197, 2)) | v26(constB197) | v130(constB197, 2))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34068,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB197) | v130(constB197, 2) | (~v127(constB197, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB197, 2)) | v26(constB197) | v130(constB197, 2)))),
% 50.33/33.28 inference(monotonicity,[status(thm)],[34067])).
% 50.33/33.28 tff(34069,plain,
% 50.33/33.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB197) | v130(constB197, 2) | (~v127(constB197, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB197, 2)) | v26(constB197) | v130(constB197, 2))),
% 50.33/33.28 inference(transitivity,[status(thm)],[34068, 34066])).
% 50.33/33.28 tff(34070,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB197) | v130(constB197, 2) | (~v127(constB197, 2)))),
% 50.33/33.28 inference(quant_inst,[status(thm)],[])).
% 50.33/33.28 tff(34071,plain,
% 50.33/33.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB197, 2)) | v26(constB197) | v130(constB197, 2)),
% 50.33/33.28 inference(modus_ponens,[status(thm)],[34070, 34069])).
% 50.33/33.28 tff(34072,plain,
% 50.33/33.28 ((~v127(constB197, 2)) | v130(constB197, 2)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34071, 593, 34012])).
% 50.33/33.28 tff(34073,plain,
% 50.33/33.28 (~v127(constB197, 2)),
% 50.33/33.28 inference(unit_resolution,[status(thm)],[34072, 34065])).
% 50.33/33.28 tff(34074,plain,
% 50.33/33.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB197, constB198)) | v127(constB197, 2) | (~v129(constB198, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB197, constB198)) | v127(constB197, 2) | (~v129(constB198, 2)))),
% 50.33/33.28 inference(rewrite,[status(thm)],[])).
% 50.33/33.28 tff(34075,plain,
% 50.33/33.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB197, constB198)) | v127(constB197, 2) | (~v129(constB198, 2)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34076,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB197, constB198)) | v127(constB197, 2) | (~v129(constB198, 2))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 50.33/33.29 tff(34077,plain,
% 50.33/33.29 (v127(constB197, 2) | (~v129(constB198, 2))),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34076, 611, 34027])).
% 50.33/33.29 tff(34078,plain,
% 50.33/33.29 (~v129(constB198, 2)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34077, 34073])).
% 50.33/33.29 tff(34079,plain,
% 50.33/33.29 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB198, 2)) | v129(constB198, 2) | (~v100(constB198)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB198, 2)) | v129(constB198, 2) | (~v100(constB198)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34080,plain,
% 50.33/33.29 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB198, 2)) | v129(constB198, 2) | (~v100(constB198)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34081,plain,
% 50.33/33.29 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB198, 2)) | v129(constB198, 2) | (~v100(constB198))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34080, 34079])).
% 50.33/33.29 tff(34082,plain,
% 50.33/33.29 ((~v90(constB198, 2)) | (~v100(constB198))),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34081, 626, 34078])).
% 50.33/33.29 tff(34083,plain,
% 50.33/33.29 (~v90(constB198, 2)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34082, 34061])).
% 50.33/33.29 tff(34084,plain,
% 50.33/33.29 ((~v1(constB199)) <=> (~v1(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34085,axiom,(~v1(constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_199_1_1')).
% 50.33/33.29 tff(34086,plain,
% 50.33/33.29 (~v1(constB199)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34085, 34084])).
% 50.33/33.29 tff(34087,plain,
% 50.33/33.29 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34088,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 50.33/33.29 tff(34089,plain,
% 50.33/33.29 (nextState(constB198, constB199)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34088, 34087])).
% 50.33/33.29 tff(34090,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34091,plain,
% 50.33/33.29 (((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199)) <=> (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34092,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199))))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34091])).
% 50.33/33.29 tff(34093,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199)))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34092, 34090])).
% 50.33/33.29 tff(34094,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB198, constB199)) | (~v101(constB199)) | v1(constB199))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34095,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB199) | (~nextState(constB198, constB199)) | (~v101(constB199))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34094, 34093])).
% 50.33/33.29 tff(34096,plain,
% 50.33/33.29 (~v101(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34095, 90, 34089, 34086])).
% 50.33/33.29 tff(34097,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34098,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34099,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB198, constB199)) | v101(constB199) | (~v100(constB199))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34098, 34097])).
% 50.33/33.29 tff(34100,plain,
% 50.33/33.29 (v101(constB199) | (~v100(constB199))),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34099, 107, 34089])).
% 50.33/33.29 tff(34101,plain,
% 50.33/33.29 (~v100(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34100, 34096])).
% 50.33/33.29 tff(34102,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB198, 2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB198, 2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, 2)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34103,plain,
% 50.33/33.29 (((~nextState(constB198, constB199)) | v90(constB198, 2) | v100(constB199) | (~v90(constB199, 2))) <=> (v90(constB198, 2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, 2)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34104,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB198, constB199)) | v90(constB198, 2) | v100(constB199) | (~v90(constB199, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB198, 2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, 2))))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34103])).
% 50.33/33.29 tff(34105,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB198, constB199)) | v90(constB198, 2) | v100(constB199) | (~v90(constB199, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB198, 2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, 2)))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34104, 34102])).
% 50.33/33.29 tff(34106,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB198, constB199)) | v90(constB198, 2) | v100(constB199) | (~v90(constB199, 2)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34107,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB198, 2) | (~nextState(constB198, constB199)) | v100(constB199) | (~v90(constB199, 2))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 50.33/33.29 tff(34108,plain,
% 50.33/33.29 (v90(constB198, 2) | v100(constB199) | (~v90(constB199, 2))),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34107, 122, 34089])).
% 50.33/33.29 tff(34109,plain,
% 50.33/33.29 (v90(constB198, 2) | (~v90(constB199, 2))),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34108, 34101])).
% 50.33/33.29 tff(34110,plain,
% 50.33/33.29 (~v90(constB199, 2)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34109, 34083])).
% 50.33/33.29 tff(34111,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB199, 2)) | v90(constB199, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB199, 2)) | v90(constB199, 2))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34112,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB199, 2)) | v90(constB199, 2))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34113,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB199, 2)) | v90(constB199, 2)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34112, 34111])).
% 50.33/33.29 tff(34114,plain,
% 50.33/33.29 (~v88(constB199, 2)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34113, 26020, 34110])).
% 50.33/33.29 tff(34115,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB197)) | v130(constB197, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB197)) | v130(constB197, 1))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34116,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB197)) | v130(constB197, 1))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34117,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB197)) | v130(constB197, 1)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34116, 34115])).
% 50.33/33.29 tff(34118,plain,
% 50.33/33.29 (v130(constB197, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34117, 1146, 33982])).
% 50.33/33.29 tff(34119,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB197) | (~v130(constB197, 1)) | v127(constB197, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB197) | (~v130(constB197, 1)) | v127(constB197, 1))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34120,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB197) | (~v130(constB197, 1)) | v127(constB197, 1))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34121,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB197) | (~v130(constB197, 1)) | v127(constB197, 1)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34120, 34119])).
% 50.33/33.29 tff(34122,plain,
% 50.33/33.29 ((~v130(constB197, 1)) | v127(constB197, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34121, 852, 34012])).
% 50.33/33.29 tff(34123,plain,
% 50.33/33.29 (v127(constB197, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34122, 34118])).
% 50.33/33.29 tff(34124,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB197, constB198)) | (~v127(constB197, 1)) | v129(constB198, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB197, constB198)) | (~v127(constB197, 1)) | v129(constB198, 1))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34125,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB197, constB198)) | (~v127(constB197, 1)) | v129(constB198, 1))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34126,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB197, constB198)) | (~v127(constB197, 1)) | v129(constB198, 1)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34125, 34124])).
% 50.33/33.29 tff(34127,plain,
% 50.33/33.29 ((~v127(constB197, 1)) | v129(constB198, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34126, 867, 34027])).
% 50.33/33.29 tff(34128,plain,
% 50.33/33.29 (v129(constB198, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34127, 34123])).
% 50.33/33.29 tff(34129,plain,
% 50.33/33.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB198, 1) | (~v129(constB198, 1)) | (~v100(constB198)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB198, 1) | (~v129(constB198, 1)) | (~v100(constB198)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34130,plain,
% 50.33/33.29 ((v90(constB198, 1) | (~v100(constB198)) | (~v129(constB198, 1))) <=> (v90(constB198, 1) | (~v129(constB198, 1)) | (~v100(constB198)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34131,plain,
% 50.33/33.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB198, 1) | (~v100(constB198)) | (~v129(constB198, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB198, 1) | (~v129(constB198, 1)) | (~v100(constB198))))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34130])).
% 50.33/33.29 tff(34132,plain,
% 50.33/33.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB198, 1) | (~v100(constB198)) | (~v129(constB198, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB198, 1) | (~v129(constB198, 1)) | (~v100(constB198)))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34131, 34129])).
% 50.33/33.29 tff(34133,plain,
% 50.33/33.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB198, 1) | (~v100(constB198)) | (~v129(constB198, 1)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34134,plain,
% 50.33/33.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB198, 1) | (~v129(constB198, 1)) | (~v100(constB198))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34133, 34132])).
% 50.33/33.29 tff(34135,plain,
% 50.33/33.29 (v90(constB198, 1) | (~v100(constB198))),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34134, 882, 34128])).
% 50.33/33.29 tff(34136,plain,
% 50.33/33.29 (v90(constB198, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34135, 34061])).
% 50.33/33.29 tff(34137,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB198, 1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB198, 1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 1))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34138,plain,
% 50.33/33.29 (((~nextState(constB198, constB199)) | (~v90(constB198, 1)) | v100(constB199) | v90(constB199, 1)) <=> ((~v90(constB198, 1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 1))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34139,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, 1)) | v100(constB199) | v90(constB199, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB198, 1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 1)))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34138])).
% 50.33/33.29 tff(34140,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, 1)) | v100(constB199) | v90(constB199, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB198, 1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 1))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34139, 34137])).
% 50.33/33.29 tff(34141,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB198, constB199)) | (~v90(constB198, 1)) | v100(constB199) | v90(constB199, 1))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34142,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB198, 1)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 1)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 50.33/33.29 tff(34143,plain,
% 50.33/33.29 ((~v90(constB198, 1)) | v100(constB199) | v90(constB199, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34142, 900, 34089])).
% 50.33/33.29 tff(34144,plain,
% 50.33/33.29 ((~v90(constB198, 1)) | v90(constB199, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34143, 34101])).
% 50.33/33.29 tff(34145,plain,
% 50.33/33.29 (v90(constB199, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34144, 34136])).
% 50.33/33.29 tff(34146,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB199, 1)) | v88(constB199, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB199, 1)) | v88(constB199, 1))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34147,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB199, 1)) | v88(constB199, 1))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34148,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB199, 1)) | v88(constB199, 1)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34147, 34146])).
% 50.33/33.29 tff(34149,plain,
% 50.33/33.29 (v88(constB199, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34148, 15014, 34145])).
% 50.33/33.29 tff(34150,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB197)) | v130(constB197, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB197)) | v130(constB197, 0))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34151,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB197)) | v130(constB197, 0))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34152,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB197)) | v130(constB197, 0)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34151, 34150])).
% 50.33/33.29 tff(34153,plain,
% 50.33/33.29 (v130(constB197, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34152, 1184, 33982])).
% 50.33/33.29 tff(34154,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB197) | (~v130(constB197, 0)) | v127(constB197, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB197) | (~v130(constB197, 0)) | v127(constB197, 0))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34155,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB197) | (~v130(constB197, 0)) | v127(constB197, 0))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34156,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB197) | (~v130(constB197, 0)) | v127(constB197, 0)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34155, 34154])).
% 50.33/33.29 tff(34157,plain,
% 50.33/33.29 ((~v130(constB197, 0)) | v127(constB197, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34156, 515, 34012])).
% 50.33/33.29 tff(34158,plain,
% 50.33/33.29 (v127(constB197, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34157, 34153])).
% 50.33/33.29 tff(34159,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB197, constB198)) | (~v127(constB197, 0)) | v129(constB198, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB197, constB198)) | (~v127(constB197, 0)) | v129(constB198, 0))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34160,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB197, constB198)) | (~v127(constB197, 0)) | v129(constB198, 0))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34161,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB197, constB198)) | (~v127(constB197, 0)) | v129(constB198, 0)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34160, 34159])).
% 50.33/33.29 tff(34162,plain,
% 50.33/33.29 ((~v127(constB197, 0)) | v129(constB198, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34161, 530, 34027])).
% 50.33/33.29 tff(34163,plain,
% 50.33/33.29 (v129(constB198, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34162, 34158])).
% 50.33/33.29 tff(34164,plain,
% 50.33/33.29 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB198, 0) | (~v129(constB198, 0)) | (~v100(constB198)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB198, 0) | (~v129(constB198, 0)) | (~v100(constB198)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34165,plain,
% 50.33/33.29 ((v90(constB198, 0) | (~v100(constB198)) | (~v129(constB198, 0))) <=> (v90(constB198, 0) | (~v129(constB198, 0)) | (~v100(constB198)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34166,plain,
% 50.33/33.29 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB198, 0) | (~v100(constB198)) | (~v129(constB198, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB198, 0) | (~v129(constB198, 0)) | (~v100(constB198))))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34165])).
% 50.33/33.29 tff(34167,plain,
% 50.33/33.29 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB198, 0) | (~v100(constB198)) | (~v129(constB198, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB198, 0) | (~v129(constB198, 0)) | (~v100(constB198)))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34166, 34164])).
% 50.33/33.29 tff(34168,plain,
% 50.33/33.29 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB198, 0) | (~v100(constB198)) | (~v129(constB198, 0)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34169,plain,
% 50.33/33.29 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB198, 0) | (~v129(constB198, 0)) | (~v100(constB198))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34168, 34167])).
% 50.33/33.29 tff(34170,plain,
% 50.33/33.29 (v90(constB198, 0) | (~v100(constB198))),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34169, 545, 34163])).
% 50.33/33.29 tff(34171,plain,
% 50.33/33.29 (v90(constB198, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34170, 34061])).
% 50.33/33.29 tff(34172,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB198, 0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB198, 0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 0))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34173,plain,
% 50.33/33.29 (((~nextState(constB198, constB199)) | (~v90(constB198, 0)) | v100(constB199) | v90(constB199, 0)) <=> ((~v90(constB198, 0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 0))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34174,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB198, constB199)) | (~v90(constB198, 0)) | v100(constB199) | v90(constB199, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB198, 0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 0)))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34173])).
% 50.33/33.29 tff(34175,plain,
% 50.33/33.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB198, constB199)) | (~v90(constB198, 0)) | v100(constB199) | v90(constB199, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB198, 0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 0))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34174, 34172])).
% 50.33/33.29 tff(34176,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB198, constB199)) | (~v90(constB198, 0)) | v100(constB199) | v90(constB199, 0))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34177,plain,
% 50.33/33.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB198, 0)) | (~nextState(constB198, constB199)) | v100(constB199) | v90(constB199, 0)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34176, 34175])).
% 50.33/33.29 tff(34178,plain,
% 50.33/33.29 ((~v90(constB198, 0)) | v100(constB199) | v90(constB199, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34177, 563, 34089])).
% 50.33/33.29 tff(34179,plain,
% 50.33/33.29 ((~v90(constB198, 0)) | v90(constB199, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34178, 34101])).
% 50.33/33.29 tff(34180,plain,
% 50.33/33.29 (v90(constB199, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34179, 34171])).
% 50.33/33.29 tff(34181,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB199, 0)) | v88(constB199, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB199, 0)) | v88(constB199, 0))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34182,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB199, 0)) | v88(constB199, 0))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34183,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB199, 0)) | v88(constB199, 0)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34182, 34181])).
% 50.33/33.29 tff(34184,plain,
% 50.33/33.29 (v88(constB199, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34183, 26254, 34180])).
% 50.33/33.29 tff(34185,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB199, 0)) | v88(constB199, 2) | (~v88(constB199, 1)) | v141(constB199))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB199, 0)) | v88(constB199, 2) | (~v88(constB199, 1)) | v141(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34186,plain,
% 50.33/33.29 ((v88(constB199, 2) | (~v88(constB199, 1)) | (~v88(constB199, 0)) | v141(constB199)) <=> ((~v88(constB199, 0)) | v88(constB199, 2) | (~v88(constB199, 1)) | v141(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34187,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB199, 2) | (~v88(constB199, 1)) | (~v88(constB199, 0)) | v141(constB199))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB199, 0)) | v88(constB199, 2) | (~v88(constB199, 1)) | v141(constB199)))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34186])).
% 50.33/33.29 tff(34188,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB199, 2) | (~v88(constB199, 1)) | (~v88(constB199, 0)) | v141(constB199))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB199, 0)) | v88(constB199, 2) | (~v88(constB199, 1)) | v141(constB199))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34187, 34185])).
% 50.33/33.29 tff(34189,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB199, 2) | (~v88(constB199, 1)) | (~v88(constB199, 0)) | v141(constB199))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34190,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB199, 0)) | v88(constB199, 2) | (~v88(constB199, 1)) | v141(constB199)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34189, 34188])).
% 50.33/33.29 tff(34191,plain,
% 50.33/33.29 (v141(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34190, 26268, 34184, 34149, 34114])).
% 50.33/33.29 tff(34192,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB199)) | v199(constB199))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB199)) | v199(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34193,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB199)) | v199(constB199))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34194,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB199)) | v199(constB199)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34193, 34192])).
% 50.33/33.29 tff(34195,plain,
% 50.33/33.29 (v199(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34194, 26282, 34191])).
% 50.33/33.29 tff(34196,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB199)) | v198(constB199))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB199)) | v198(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34197,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB199)) | v198(constB199))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34198,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB199)) | v198(constB199)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34197, 34196])).
% 50.33/33.29 tff(34199,plain,
% 50.33/33.29 (v198(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34198, 26293, 34195])).
% 50.33/33.29 tff(34200,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB199)) | (~v201(constB199)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB199)) | (~v201(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34201,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB199)) | (~v201(constB199)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34202,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB199)) | (~v201(constB199))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34201, 34200])).
% 50.33/33.29 tff(34203,plain,
% 50.33/33.29 (~v201(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34202, 15064, 34199])).
% 50.33/33.29 tff(34204,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB199) | (~v198(constB199)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB199) | (~v198(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34205,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB199) | (~v198(constB199)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34206,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB199) | (~v198(constB199))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34205, 34204])).
% 50.33/33.29 tff(34207,plain,
% 50.33/33.29 (v197(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34206, 15078, 34199])).
% 50.33/33.29 tff(34208,plain,
% 50.33/33.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB199) | (~v197(constB199)) | v201(constB199))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB199) | (~v197(constB199)) | v201(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34209,plain,
% 50.33/33.29 (((~v197(constB199)) | v201(constB199) | v227(constB199)) <=> (v227(constB199) | (~v197(constB199)) | v201(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34210,plain,
% 50.33/33.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB199)) | v201(constB199) | v227(constB199))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB199) | (~v197(constB199)) | v201(constB199)))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34209])).
% 50.33/33.29 tff(34211,plain,
% 50.33/33.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB199)) | v201(constB199) | v227(constB199))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB199) | (~v197(constB199)) | v201(constB199))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34210, 34208])).
% 50.33/33.29 tff(34212,plain,
% 50.33/33.29 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB199)) | v201(constB199) | v227(constB199))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34213,plain,
% 50.33/33.29 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB199) | (~v197(constB199)) | v201(constB199)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34212, 34211])).
% 50.33/33.29 tff(34214,plain,
% 50.33/33.29 (v227(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34213, 15092, 34207, 34203])).
% 50.33/33.29 tff(34215,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB199)) | (~v223(constB199, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB199)) | (~v223(constB199, 0)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34216,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB199)) | (~v223(constB199, 0)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34217,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB199)) | (~v223(constB199, 0))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 50.33/33.29 tff(34218,plain,
% 50.33/33.29 (~v223(constB199, 0)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34217, 15109, 34214])).
% 50.33/33.29 tff(34219,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB199)) | (~v199(constB199)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB199)) | (~v199(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34220,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB199)) | (~v199(constB199)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34221,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB199)) | (~v199(constB199))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 50.33/33.29 tff(34222,plain,
% 50.33/33.29 (~v183(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34221, 26326, 34195])).
% 50.33/33.29 tff(34223,plain,
% 50.33/33.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB199) | (~v197(constB199)) | v183(constB199))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB199) | (~v197(constB199)) | v183(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34224,plain,
% 50.33/33.29 (((~v197(constB199)) | v183(constB199) | v228(constB199)) <=> (v228(constB199) | (~v197(constB199)) | v183(constB199))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34225,plain,
% 50.33/33.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB199)) | v183(constB199) | v228(constB199))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB199) | (~v197(constB199)) | v183(constB199)))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34224])).
% 50.33/33.29 tff(34226,plain,
% 50.33/33.29 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB199)) | v183(constB199) | v228(constB199))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB199) | (~v197(constB199)) | v183(constB199))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34225, 34223])).
% 50.33/33.29 tff(34227,plain,
% 50.33/33.29 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB199)) | v183(constB199) | v228(constB199))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34228,plain,
% 50.33/33.29 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB199) | (~v197(constB199)) | v183(constB199)),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34227, 34226])).
% 50.33/33.29 tff(34229,plain,
% 50.33/33.29 (v228(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34228, 26340, 34207, 34222])).
% 50.33/33.29 tff(34230,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB199)) | (~v223(constB199, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB199)) | (~v223(constB199, 1)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34231,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB199)) | (~v223(constB199, 1)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34232,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB199)) | (~v223(constB199, 1))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34231, 34230])).
% 50.33/33.29 tff(34233,plain,
% 50.33/33.29 (~v223(constB199, 1)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34232, 26357, 34229])).
% 50.33/33.29 tff(34234,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB199, 1) | v223(constB199, 0) | (~v229(constB199)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB199, 1) | v223(constB199, 0) | (~v229(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34235,plain,
% 50.33/33.29 ((v223(constB199, 0) | v223(constB199, 1) | (~v229(constB199))) <=> (v223(constB199, 1) | v223(constB199, 0) | (~v229(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34236,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB199, 0) | v223(constB199, 1) | (~v229(constB199)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB199, 1) | v223(constB199, 0) | (~v229(constB199))))),
% 50.33/33.29 inference(monotonicity,[status(thm)],[34235])).
% 50.33/33.29 tff(34237,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB199, 0) | v223(constB199, 1) | (~v229(constB199)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB199, 1) | v223(constB199, 0) | (~v229(constB199)))),
% 50.33/33.29 inference(transitivity,[status(thm)],[34236, 34234])).
% 50.33/33.29 tff(34238,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB199, 0) | v223(constB199, 1) | (~v229(constB199)))),
% 50.33/33.29 inference(quant_inst,[status(thm)],[])).
% 50.33/33.29 tff(34239,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB199, 1) | v223(constB199, 0) | (~v229(constB199))),
% 50.33/33.29 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 50.33/33.29 tff(34240,plain,
% 50.33/33.29 (~v229(constB199)),
% 50.33/33.29 inference(unit_resolution,[status(thm)],[34239, 26371, 34233, 34218])).
% 50.33/33.29 tff(34241,plain,
% 50.33/33.29 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB199) | (~v225(constB199)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB199) | (~v225(constB199)))),
% 50.33/33.29 inference(rewrite,[status(thm)],[])).
% 50.33/33.29 tff(34242,plain,
% 50.33/33.29 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB199) | (~v225(constB199)))),
% 50.33/33.30 inference(quant_inst,[status(thm)],[])).
% 50.33/33.30 tff(34243,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB199) | (~v225(constB199))),
% 50.33/33.30 inference(modus_ponens,[status(thm)],[34242, 34241])).
% 50.33/33.30 tff(34244,plain,
% 50.33/33.30 (~v225(constB199)),
% 50.33/33.30 inference(unit_resolution,[status(thm)],[34243, 26388, 34240])).
% 50.33/33.30 tff(34245,plain,
% 50.33/33.30 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB199) | (~v224(constB199)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB199) | (~v224(constB199)))),
% 50.33/33.30 inference(rewrite,[status(thm)],[])).
% 50.33/33.30 tff(34246,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB199) | (~v224(constB199)))),
% 50.33/33.30 inference(quant_inst,[status(thm)],[])).
% 50.33/33.30 tff(34247,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB199) | (~v224(constB199))),
% 50.33/33.30 inference(modus_ponens,[status(thm)],[34246, 34245])).
% 50.33/33.30 tff(34248,plain,
% 50.33/33.30 (~v224(constB199)),
% 50.33/33.30 inference(unit_resolution,[status(thm)],[34247, 26402, 34244])).
% 50.33/33.30 tff(34249,plain,
% 50.33/33.30 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB199)) | v223(constB199, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB199)) | v223(constB199, 1))),
% 50.33/33.30 inference(rewrite,[status(thm)],[])).
% 50.33/33.30 tff(34250,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB199)) | v223(constB199, 1))),
% 50.33/33.30 inference(quant_inst,[status(thm)],[])).
% 50.33/33.30 tff(34251,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB199)) | v223(constB199, 1)),
% 50.33/33.30 inference(modus_ponens,[status(thm)],[34250, 34249])).
% 50.33/33.30 tff(34252,plain,
% 50.33/33.30 (~v222(constB199)),
% 50.33/33.30 inference(unit_resolution,[status(thm)],[34251, 26413, 34233])).
% 50.33/33.30 tff(34253,plain,
% 50.33/33.30 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB199) | v224(constB199) | (~v236(constB199)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB199) | v224(constB199) | (~v236(constB199)))),
% 50.33/33.30 inference(rewrite,[status(thm)],[])).
% 50.33/33.30 tff(34254,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB199) | v224(constB199) | (~v236(constB199)))),
% 50.33/33.30 inference(quant_inst,[status(thm)],[])).
% 50.33/33.30 tff(34255,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB199) | v224(constB199) | (~v236(constB199))),
% 50.33/33.30 inference(modus_ponens,[status(thm)],[34254, 34253])).
% 50.33/33.30 tff(34256,plain,
% 50.33/33.30 (v224(constB199) | (~v236(constB199))),
% 50.33/33.30 inference(unit_resolution,[status(thm)],[34255, 15241, 34252])).
% 50.33/33.30 tff(34257,plain,
% 50.33/33.30 (~v236(constB199)),
% 50.33/33.30 inference(unit_resolution,[status(thm)],[34256, 34248])).
% 50.33/33.30 tff(34258,plain,
% 50.33/33.30 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB199) | (~v232(constB199)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB199) | (~v232(constB199)))),
% 50.33/33.30 inference(rewrite,[status(thm)],[])).
% 50.33/33.30 tff(34259,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB199) | (~v232(constB199)))),
% 50.33/33.30 inference(quant_inst,[status(thm)],[])).
% 50.33/33.30 tff(34260,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB199) | (~v232(constB199))),
% 50.33/33.30 inference(modus_ponens,[status(thm)],[34259, 34258])).
% 50.33/33.30 tff(34261,plain,
% 50.33/33.30 (~v232(constB199)),
% 50.33/33.30 inference(unit_resolution,[status(thm)],[34260, 15255, 34257])).
% 50.33/33.30 tff(34262,plain,
% 50.33/33.30 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB199)) | (~v88(constB199, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB199)) | (~v88(constB199, 1)))),
% 50.33/33.30 inference(rewrite,[status(thm)],[])).
% 50.33/33.30 tff(34263,plain,
% 50.33/33.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB199)) | (~v88(constB199, 1)))),
% 50.33/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34264,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB199)) | (~v88(constB199, 1))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34263, 34262])).
% 50.37/33.30 tff(34265,plain,
% 50.37/33.30 (~v140(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34264, 15142, 34149])).
% 50.37/33.30 tff(34266,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB199)) | (~v88(constB199, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB199)) | (~v88(constB199, 0)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34267,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB199)) | (~v88(constB199, 0)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34268,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB199)) | (~v88(constB199, 0))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34267, 34266])).
% 50.37/33.30 tff(34269,plain,
% 50.37/33.30 (~v139(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34268, 26437, 34184])).
% 50.37/33.30 tff(34270,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB199) | v140(constB199) | (~v148(constB199)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB199) | v140(constB199) | (~v148(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34271,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB199) | v140(constB199) | (~v148(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34272,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB199) | v140(constB199) | (~v148(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34271, 34270])).
% 50.37/33.30 tff(34273,plain,
% 50.37/33.30 (~v148(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34272, 15269, 34269, 34265])).
% 50.37/33.30 tff(34274,plain,
% 50.37/33.30 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB199) | v252(constB199) | (~v197(constB199)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB199) | v252(constB199) | (~v197(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34275,plain,
% 50.37/33.30 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB199) | v252(constB199) | (~v197(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34276,plain,
% 50.37/33.30 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB199) | v252(constB199) | (~v197(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34275, 34274])).
% 50.37/33.30 tff(34277,plain,
% 50.37/33.30 (v252(constB199) | (~v197(constB199))),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34276, 15283, 34273])).
% 50.37/33.30 tff(34278,plain,
% 50.37/33.30 (v252(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34277, 34207])).
% 50.37/33.30 tff(34279,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB199)) | (~v223(constB199, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB199)) | (~v223(constB199, 3)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34280,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB199)) | (~v223(constB199, 3)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34281,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB199)) | (~v223(constB199, 3))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 50.37/33.30 tff(34282,plain,
% 50.37/33.30 (~v223(constB199, 3)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34281, 15298, 34278])).
% 50.37/33.30 tff(34283,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB199)) | v223(constB199, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB199)) | v223(constB199, 3))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34284,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB199)) | v223(constB199, 3))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34285,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB199)) | v223(constB199, 3)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 50.37/33.30 tff(34286,plain,
% 50.37/33.30 (~v237(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34285, 15309, 34282])).
% 50.37/33.30 tff(34287,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB199) | v237(constB199) | (~v248(constB199)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB199) | v237(constB199) | (~v248(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34288,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB199) | v237(constB199) | (~v248(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34289,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB199) | v237(constB199) | (~v248(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34288, 34287])).
% 50.37/33.30 tff(34290,plain,
% 50.37/33.30 (v232(constB199) | (~v248(constB199))),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34289, 15323, 34286])).
% 50.37/33.30 tff(34291,plain,
% 50.37/33.30 (~v248(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34290, 34261])).
% 50.37/33.30 tff(34292,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB199) | (~v244(constB199)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB199) | (~v244(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34293,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB199) | (~v244(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34294,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB199) | (~v244(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 50.37/33.30 tff(34295,plain,
% 50.37/33.30 (~v244(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34294, 15338, 34291])).
% 50.37/33.30 tff(34296,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB199) | (~v216(constB199, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB199) | (~v216(constB199, 1)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34297,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB199) | (~v216(constB199, 1)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34298,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB199) | (~v216(constB199, 1))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34297, 34296])).
% 50.37/33.30 tff(34299,plain,
% 50.37/33.30 (~v216(constB199, 1)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34298, 15352, 34295])).
% 50.37/33.30 tff(34300,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB199)) | v216(constB199, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB199)) | v216(constB199, 1))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34301,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB199)) | v216(constB199, 1))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34302,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB199)) | v216(constB199, 1)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34301, 34300])).
% 50.37/33.30 tff(34303,plain,
% 50.37/33.30 (~v254(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34302, 15363, 34299])).
% 50.37/33.30 tff(34304,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB199) | (~v231(constB199)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB199) | (~v231(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34305,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB199) | (~v231(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34306,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB199) | (~v231(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34305, 34304])).
% 50.37/33.30 tff(34307,plain,
% 50.37/33.30 (~v231(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34306, 15391, 34286])).
% 50.37/33.30 tff(34308,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB199) | (~v221(constB199)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB199) | (~v221(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34309,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB199) | (~v221(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34310,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB199) | (~v221(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34309, 34308])).
% 50.37/33.30 tff(34311,plain,
% 50.37/33.30 (~v221(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34310, 26489, 34252])).
% 50.37/33.30 tff(34312,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB199) | v231(constB199) | (~v243(constB199)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB199) | v231(constB199) | (~v243(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34313,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB199) | v231(constB199) | (~v243(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34314,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB199) | v231(constB199) | (~v243(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34313, 34312])).
% 50.37/33.30 tff(34315,plain,
% 50.37/33.30 (~v243(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34314, 15405, 34311, 34307])).
% 50.37/33.30 tff(34316,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB199) | v255(constB199))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB199) | v255(constB199))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34317,plain,
% 50.37/33.30 ((v255(constB199) | v243(constB199)) <=> (v243(constB199) | v255(constB199))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34318,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB199) | v243(constB199))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB199) | v255(constB199)))),
% 50.37/33.30 inference(monotonicity,[status(thm)],[34317])).
% 50.37/33.30 tff(34319,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB199) | v243(constB199))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB199) | v255(constB199))),
% 50.37/33.30 inference(transitivity,[status(thm)],[34318, 34316])).
% 50.37/33.30 tff(34320,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB199) | v243(constB199))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34321,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB199) | v255(constB199)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34320, 34319])).
% 50.37/33.30 tff(34322,plain,
% 50.37/33.30 (v255(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34321, 15416, 34315])).
% 50.37/33.30 tff(34323,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB199)) | (~v216(constB199, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB199)) | (~v216(constB199, 2)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34324,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB199)) | (~v216(constB199, 2)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34325,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB199)) | (~v216(constB199, 2))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34324, 34323])).
% 50.37/33.30 tff(34326,plain,
% 50.37/33.30 (~v216(constB199, 2)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34325, 15433, 34322])).
% 50.37/33.30 tff(34327,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB199, 2) | v254(constB199) | (~v215(constB199)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB199, 2) | v254(constB199) | (~v215(constB199)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34328,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB199, 2) | v254(constB199) | (~v215(constB199)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34329,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB199, 2) | v254(constB199) | (~v215(constB199))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34328, 34327])).
% 50.37/33.30 tff(34330,plain,
% 50.37/33.30 (v254(constB199) | (~v215(constB199))),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34329, 15447, 34326])).
% 50.37/33.30 tff(34331,plain,
% 50.37/33.30 (~v215(constB199)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34330, 34303])).
% 50.37/33.30 tff(34332,plain,
% 50.37/33.30 ($false),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34331, 33978])).
% 50.37/33.30 tff(34333,plain,(~(constB199 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.30 tff(34334,assumption,(constB53 = sK_VarCurr), introduced(assumption)).
% 50.37/33.30 tff(34335,plain,
% 50.37/33.30 (v215(constB53) <=> v215(sK_VarCurr)),
% 50.37/33.30 inference(monotonicity,[status(thm)],[34334])).
% 50.37/33.30 tff(34336,plain,
% 50.37/33.30 (v215(sK_VarCurr) <=> v215(constB53)),
% 50.37/33.30 inference(symmetry,[status(thm)],[34335])).
% 50.37/33.30 tff(34337,plain,
% 50.37/33.30 (v215(constB53)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34, 34336])).
% 50.37/33.30 tff(34338,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB53, 2)) | v90(constB53, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB53, 2)) | v90(constB53, 2))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34339,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB53, 2)) | v90(constB53, 2))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34340,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB53, 2)) | v90(constB53, 2)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34339, 34338])).
% 50.37/33.30 tff(34341,plain,
% 50.37/33.30 (~v88(constB53, 2)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34340, 26020, 6643])).
% 50.37/33.30 tff(34342,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB53, 0)) | v90(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB53, 0)) | v90(constB53, 0))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34343,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB53, 0)) | v90(constB53, 0))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34344,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB53, 0)) | v90(constB53, 0)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34343, 34342])).
% 50.37/33.30 tff(34345,plain,
% 50.37/33.30 (~v88(constB53, 0)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34344, 14930, 6708])).
% 50.37/33.30 tff(34346,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB53, 1)) | v88(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB53, 1)) | v88(constB53, 1))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34347,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB53, 1)) | v88(constB53, 1))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34348,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB53, 1)) | v88(constB53, 1)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34347, 34346])).
% 50.37/33.30 tff(34349,plain,
% 50.37/33.30 (v88(constB53, 1)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34348, 15014, 6674])).
% 50.37/33.30 tff(34350,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | v88(constB53, 0) | v143(constB53) | (~v88(constB53, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB53, 2) | v88(constB53, 0) | v143(constB53) | (~v88(constB53, 1)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34351,plain,
% 50.37/33.30 ((v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53)) <=> (v88(constB53, 2) | v88(constB53, 0) | v143(constB53) | (~v88(constB53, 1)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34352,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | v88(constB53, 0) | v143(constB53) | (~v88(constB53, 1))))),
% 50.37/33.30 inference(monotonicity,[status(thm)],[34351])).
% 50.37/33.30 tff(34353,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB53, 2) | v88(constB53, 0) | v143(constB53) | (~v88(constB53, 1)))),
% 50.37/33.30 inference(transitivity,[status(thm)],[34352, 34350])).
% 50.37/33.30 tff(34354,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34355,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB53, 2) | v88(constB53, 0) | v143(constB53) | (~v88(constB53, 1))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34354, 34353])).
% 50.37/33.30 tff(34356,plain,
% 50.37/33.30 (v143(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34355, 26042, 34349, 34345, 34341])).
% 50.37/33.30 tff(34357,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB53) | (~v143(constB53)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB53) | (~v143(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34358,plain,
% 50.37/33.30 (((~v143(constB53)) | v142(constB53)) <=> (v142(constB53) | (~v143(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34359,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB53) | (~v143(constB53))))),
% 50.37/33.30 inference(monotonicity,[status(thm)],[34358])).
% 50.37/33.30 tff(34360,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB53) | (~v143(constB53)))),
% 50.37/33.30 inference(transitivity,[status(thm)],[34359, 34357])).
% 50.37/33.30 tff(34361,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34362,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB53) | (~v143(constB53))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34361, 34360])).
% 50.37/33.30 tff(34363,plain,
% 50.37/33.30 (v142(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34362, 26056, 34356])).
% 50.37/33.30 tff(34364,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB53)) | v198(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB53)) | v198(constB53))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34365,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB53)) | v198(constB53))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34366,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB53)) | v198(constB53)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34365, 34364])).
% 50.37/33.30 tff(34367,plain,
% 50.37/33.30 (v198(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34366, 15053, 34363])).
% 50.37/33.30 tff(34368,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB53)) | (~v201(constB53)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB53)) | (~v201(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34369,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB53)) | (~v201(constB53)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34370,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB53)) | (~v201(constB53))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34369, 34368])).
% 50.37/33.30 tff(34371,plain,
% 50.37/33.30 (~v201(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34370, 15064, 34367])).
% 50.37/33.30 tff(34372,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB53) | (~v198(constB53)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB53) | (~v198(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34373,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB53) | (~v198(constB53)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34374,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB53) | (~v198(constB53))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34373, 34372])).
% 50.37/33.30 tff(34375,plain,
% 50.37/33.30 (v197(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34374, 15078, 34367])).
% 50.37/33.30 tff(34376,plain,
% 50.37/33.30 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB53) | (~v197(constB53)) | v201(constB53))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB53) | (~v197(constB53)) | v201(constB53))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34377,plain,
% 50.37/33.30 (((~v197(constB53)) | v201(constB53) | v227(constB53)) <=> (v227(constB53) | (~v197(constB53)) | v201(constB53))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34378,plain,
% 50.37/33.30 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB53)) | v201(constB53) | v227(constB53))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB53) | (~v197(constB53)) | v201(constB53)))),
% 50.37/33.30 inference(monotonicity,[status(thm)],[34377])).
% 50.37/33.30 tff(34379,plain,
% 50.37/33.30 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB53)) | v201(constB53) | v227(constB53))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB53) | (~v197(constB53)) | v201(constB53))),
% 50.37/33.30 inference(transitivity,[status(thm)],[34378, 34376])).
% 50.37/33.30 tff(34380,plain,
% 50.37/33.30 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB53)) | v201(constB53) | v227(constB53))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34381,plain,
% 50.37/33.30 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB53) | (~v197(constB53)) | v201(constB53)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34380, 34379])).
% 50.37/33.30 tff(34382,plain,
% 50.37/33.30 (v227(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34381, 15092, 34375, 34371])).
% 50.37/33.30 tff(34383,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB53)) | (~v223(constB53, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB53)) | (~v223(constB53, 0)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34384,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB53)) | (~v223(constB53, 0)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34385,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB53)) | (~v223(constB53, 0))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34384, 34383])).
% 50.37/33.30 tff(34386,plain,
% 50.37/33.30 (~v223(constB53, 0)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34385, 15109, 34382])).
% 50.37/33.30 tff(34387,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB53)) | v223(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB53)) | v223(constB53, 0))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34388,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB53)) | v223(constB53, 0))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34389,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB53)) | v223(constB53, 0)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34388, 34387])).
% 50.37/33.30 tff(34390,plain,
% 50.37/33.30 (~v222(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34389, 15120, 34386])).
% 50.37/33.30 tff(34391,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB53)) | (~v88(constB53, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB53)) | (~v88(constB53, 1)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34392,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB53)) | (~v88(constB53, 1)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34393,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB53)) | (~v88(constB53, 1))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34392, 34391])).
% 50.37/33.30 tff(34394,plain,
% 50.37/33.30 (~v139(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34393, 15131, 34349])).
% 50.37/33.30 tff(34395,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB53)) | (~v88(constB53, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB53)) | (~v88(constB53, 1)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34396,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB53)) | (~v88(constB53, 1)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34397,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB53)) | (~v88(constB53, 1))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34396, 34395])).
% 50.37/33.30 tff(34398,plain,
% 50.37/33.30 (~v140(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34397, 15142, 34349])).
% 50.37/33.30 tff(34399,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v200(constB53)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB53) | v140(constB53) | (~v200(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34400,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v200(constB53)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34401,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB53) | v140(constB53) | (~v200(constB53))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34400, 34399])).
% 50.37/33.30 tff(34402,plain,
% 50.37/33.30 (~v200(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34401, 15156, 34398, 34394])).
% 50.37/33.30 tff(34403,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB53)) | v88(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB53)) | v88(constB53, 0))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34404,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB53)) | v88(constB53, 0))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34405,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB53)) | v88(constB53, 0)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34404, 34403])).
% 50.37/33.30 tff(34406,plain,
% 50.37/33.30 (~v141(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34405, 26106, 34345])).
% 50.37/33.30 tff(34407,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v200(constB53) | (~v166(constB53)) | v141(constB53))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v200(constB53) | (~v166(constB53)) | v141(constB53))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34408,plain,
% 50.37/33.30 ((v141(constB53) | (~v166(constB53)) | v200(constB53)) <=> (v200(constB53) | (~v166(constB53)) | v141(constB53))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34409,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB53) | (~v166(constB53)) | v200(constB53))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v200(constB53) | (~v166(constB53)) | v141(constB53)))),
% 50.37/33.30 inference(monotonicity,[status(thm)],[34408])).
% 50.37/33.30 tff(34410,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB53) | (~v166(constB53)) | v200(constB53))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v200(constB53) | (~v166(constB53)) | v141(constB53))),
% 50.37/33.30 inference(transitivity,[status(thm)],[34409, 34407])).
% 50.37/33.30 tff(34411,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB53) | (~v166(constB53)) | v200(constB53))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34412,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v200(constB53) | (~v166(constB53)) | v141(constB53)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34411, 34410])).
% 50.37/33.30 tff(34413,plain,
% 50.37/33.30 (~v166(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34412, 15181, 34406, 34402])).
% 50.37/33.30 tff(34414,plain,
% 50.37/33.30 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB53) | (~v197(constB53)) | v166(constB53))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB53) | (~v197(constB53)) | v166(constB53))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34415,plain,
% 50.37/33.30 (((~v197(constB53)) | v166(constB53) | v241(constB53)) <=> (v241(constB53) | (~v197(constB53)) | v166(constB53))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34416,plain,
% 50.37/33.30 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB53)) | v166(constB53) | v241(constB53))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB53) | (~v197(constB53)) | v166(constB53)))),
% 50.37/33.30 inference(monotonicity,[status(thm)],[34415])).
% 50.37/33.30 tff(34417,plain,
% 50.37/33.30 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB53)) | v166(constB53) | v241(constB53))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB53) | (~v197(constB53)) | v166(constB53))),
% 50.37/33.30 inference(transitivity,[status(thm)],[34416, 34414])).
% 50.37/33.30 tff(34418,plain,
% 50.37/33.30 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB53)) | v166(constB53) | v241(constB53))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34419,plain,
% 50.37/33.30 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB53) | (~v197(constB53)) | v166(constB53)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34418, 34417])).
% 50.37/33.30 tff(34420,plain,
% 50.37/33.30 (v241(constB53) | (~v197(constB53))),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34419, 15198, 34413])).
% 50.37/33.30 tff(34421,plain,
% 50.37/33.30 (v241(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34420, 34375])).
% 50.37/33.30 tff(34422,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB53)) | (~v223(constB53, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB53)) | (~v223(constB53, 2)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34423,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB53)) | (~v223(constB53, 2)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34424,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB53)) | (~v223(constB53, 2))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34423, 34422])).
% 50.37/33.30 tff(34425,plain,
% 50.37/33.30 (~v223(constB53, 2)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34424, 15216, 34421])).
% 50.37/33.30 tff(34426,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB53)) | v223(constB53, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB53)) | v223(constB53, 2))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34427,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB53)) | v223(constB53, 2))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34428,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB53)) | v223(constB53, 2)),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34427, 34426])).
% 50.37/33.30 tff(34429,plain,
% 50.37/33.30 (~v224(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34428, 15227, 34425])).
% 50.37/33.30 tff(34430,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB53) | v224(constB53) | (~v236(constB53)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB53) | v224(constB53) | (~v236(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34431,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB53) | v224(constB53) | (~v236(constB53)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34432,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB53) | v224(constB53) | (~v236(constB53))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34431, 34430])).
% 50.37/33.30 tff(34433,plain,
% 50.37/33.30 (~v236(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34432, 15241, 34429, 34390])).
% 50.37/33.30 tff(34434,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB53) | (~v232(constB53)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB53) | (~v232(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34435,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB53) | (~v232(constB53)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34436,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB53) | (~v232(constB53))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34435, 34434])).
% 50.37/33.30 tff(34437,plain,
% 50.37/33.30 (~v232(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34436, 15255, 34433])).
% 50.37/33.30 tff(34438,plain,
% 50.37/33.30 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v148(constB53)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB53) | v140(constB53) | (~v148(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34439,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v148(constB53)))),
% 50.37/33.30 inference(quant_inst,[status(thm)],[])).
% 50.37/33.30 tff(34440,plain,
% 50.37/33.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB53) | v140(constB53) | (~v148(constB53))),
% 50.37/33.30 inference(modus_ponens,[status(thm)],[34439, 34438])).
% 50.37/33.30 tff(34441,plain,
% 50.37/33.30 (~v148(constB53)),
% 50.37/33.30 inference(unit_resolution,[status(thm)],[34440, 15269, 34398, 34394])).
% 50.37/33.30 tff(34442,plain,
% 50.37/33.30 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB53) | v252(constB53) | (~v197(constB53)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB53) | v252(constB53) | (~v197(constB53)))),
% 50.37/33.30 inference(rewrite,[status(thm)],[])).
% 50.37/33.30 tff(34443,plain,
% 50.37/33.30 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB53) | v252(constB53) | (~v197(constB53)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34444,plain,
% 50.37/33.31 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB53) | v252(constB53) | (~v197(constB53))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34443, 34442])).
% 50.37/33.31 tff(34445,plain,
% 50.37/33.31 (v252(constB53) | (~v197(constB53))),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34444, 15283, 34441])).
% 50.37/33.31 tff(34446,plain,
% 50.37/33.31 (v252(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34445, 34375])).
% 50.37/33.31 tff(34447,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB53)) | (~v223(constB53, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB53)) | (~v223(constB53, 3)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34448,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB53)) | (~v223(constB53, 3)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34449,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB53)) | (~v223(constB53, 3))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34448, 34447])).
% 50.37/33.31 tff(34450,plain,
% 50.37/33.31 (~v223(constB53, 3)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34449, 15298, 34446])).
% 50.37/33.31 tff(34451,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB53)) | v223(constB53, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB53)) | v223(constB53, 3))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34452,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB53)) | v223(constB53, 3))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34453,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB53)) | v223(constB53, 3)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34452, 34451])).
% 50.37/33.31 tff(34454,plain,
% 50.37/33.31 (~v237(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34453, 15309, 34450])).
% 50.37/33.31 tff(34455,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB53) | v237(constB53) | (~v248(constB53)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB53) | v237(constB53) | (~v248(constB53)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34456,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB53) | v237(constB53) | (~v248(constB53)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34457,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB53) | v237(constB53) | (~v248(constB53))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34456, 34455])).
% 50.37/33.31 tff(34458,plain,
% 50.37/33.31 (v232(constB53) | (~v248(constB53))),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34457, 15323, 34454])).
% 50.37/33.31 tff(34459,plain,
% 50.37/33.31 (~v248(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34458, 34437])).
% 50.37/33.31 tff(34460,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB53) | (~v244(constB53)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB53) | (~v244(constB53)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34461,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB53) | (~v244(constB53)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34462,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB53) | (~v244(constB53))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34461, 34460])).
% 50.37/33.31 tff(34463,plain,
% 50.37/33.31 (~v244(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34462, 15338, 34459])).
% 50.37/33.31 tff(34464,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB53) | (~v216(constB53, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB53) | (~v216(constB53, 1)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34465,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB53) | (~v216(constB53, 1)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34466,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB53) | (~v216(constB53, 1))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34465, 34464])).
% 50.37/33.31 tff(34467,plain,
% 50.37/33.31 (~v216(constB53, 1)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34466, 15352, 34463])).
% 50.37/33.31 tff(34468,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB53)) | v216(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB53)) | v216(constB53, 1))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34469,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB53)) | v216(constB53, 1))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34470,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB53)) | v216(constB53, 1)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34469, 34468])).
% 50.37/33.31 tff(34471,plain,
% 50.37/33.31 (~v254(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34470, 15363, 34467])).
% 50.37/33.31 tff(34472,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB53) | (~v221(constB53)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB53) | (~v221(constB53)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34473,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB53) | (~v221(constB53)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34474,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB53) | (~v221(constB53))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34473, 34472])).
% 50.37/33.31 tff(34475,plain,
% 50.37/33.31 (~v221(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34474, 15377, 34429])).
% 50.37/33.31 tff(34476,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB53) | (~v231(constB53)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB53) | (~v231(constB53)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34477,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB53) | (~v231(constB53)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34478,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB53) | (~v231(constB53))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34477, 34476])).
% 50.37/33.31 tff(34479,plain,
% 50.37/33.31 (~v231(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34478, 15391, 34454])).
% 50.37/33.31 tff(34480,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB53) | v231(constB53) | (~v243(constB53)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB53) | v231(constB53) | (~v243(constB53)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34481,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB53) | v231(constB53) | (~v243(constB53)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34482,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB53) | v231(constB53) | (~v243(constB53))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34481, 34480])).
% 50.37/33.31 tff(34483,plain,
% 50.37/33.31 (~v243(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34482, 15405, 34479, 34475])).
% 50.37/33.31 tff(34484,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB53) | v255(constB53))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB53) | v255(constB53))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34485,plain,
% 50.37/33.31 ((v255(constB53) | v243(constB53)) <=> (v243(constB53) | v255(constB53))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34486,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB53) | v243(constB53))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB53) | v255(constB53)))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34485])).
% 50.37/33.31 tff(34487,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB53) | v243(constB53))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB53) | v255(constB53))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34486, 34484])).
% 50.37/33.31 tff(34488,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB53) | v243(constB53))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34489,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB53) | v255(constB53)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34488, 34487])).
% 50.37/33.31 tff(34490,plain,
% 50.37/33.31 (v255(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34489, 15416, 34483])).
% 50.37/33.31 tff(34491,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB53)) | (~v216(constB53, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB53)) | (~v216(constB53, 2)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34492,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB53)) | (~v216(constB53, 2)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34493,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB53)) | (~v216(constB53, 2))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 50.37/33.31 tff(34494,plain,
% 50.37/33.31 (~v216(constB53, 2)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34493, 15433, 34490])).
% 50.37/33.31 tff(34495,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB53) | v216(constB53, 2) | (~v215(constB53)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB53) | v216(constB53, 2) | (~v215(constB53)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34496,plain,
% 50.37/33.31 ((v216(constB53, 2) | v254(constB53) | (~v215(constB53))) <=> (v254(constB53) | v216(constB53, 2) | (~v215(constB53)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34497,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB53, 2) | v254(constB53) | (~v215(constB53)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB53) | v216(constB53, 2) | (~v215(constB53))))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34496])).
% 50.37/33.31 tff(34498,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB53, 2) | v254(constB53) | (~v215(constB53)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB53) | v216(constB53, 2) | (~v215(constB53)))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34497, 34495])).
% 50.37/33.31 tff(34499,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB53, 2) | v254(constB53) | (~v215(constB53)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34500,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB53) | v216(constB53, 2) | (~v215(constB53))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34499, 34498])).
% 50.37/33.31 tff(34501,plain,
% 50.37/33.31 (v254(constB53) | (~v215(constB53))),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34500, 15447, 34494])).
% 50.37/33.31 tff(34502,plain,
% 50.37/33.31 (~v215(constB53)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34501, 34471])).
% 50.37/33.31 tff(34503,plain,
% 50.37/33.31 ($false),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34502, 34337])).
% 50.37/33.31 tff(34504,plain,(~(constB53 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.31 tff(34505,assumption,(constB67 = sK_VarCurr), introduced(assumption)).
% 50.37/33.31 tff(34506,plain,
% 50.37/33.31 (v215(constB67) <=> v215(sK_VarCurr)),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34505])).
% 50.37/33.31 tff(34507,plain,
% 50.37/33.31 (v215(sK_VarCurr) <=> v215(constB67)),
% 50.37/33.31 inference(symmetry,[status(thm)],[34506])).
% 50.37/33.31 tff(34508,plain,
% 50.37/33.31 (v215(constB67)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34, 34507])).
% 50.37/33.31 tff(34509,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB67, 2)) | v90(constB67, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB67, 2)) | v90(constB67, 2))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34510,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB67, 2)) | v90(constB67, 2))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34511,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB67, 2)) | v90(constB67, 2)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34510, 34509])).
% 50.37/33.31 tff(34512,plain,
% 50.37/33.31 (~v88(constB67, 2)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34511, 26020, 8331])).
% 50.37/33.31 tff(34513,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB67, 1)) | v88(constB67, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB67, 1)) | v88(constB67, 1))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34514,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB67, 1)) | v88(constB67, 1))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34515,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB67, 1)) | v88(constB67, 1)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34514, 34513])).
% 50.37/33.31 tff(34516,plain,
% 50.37/33.31 (v88(constB67, 1)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34515, 15014, 8362])).
% 50.37/33.31 tff(34517,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB67, 0)) | v88(constB67, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB67, 0)) | v88(constB67, 0))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34518,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB67, 0)) | v88(constB67, 0))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34519,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB67, 0)) | v88(constB67, 0)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34518, 34517])).
% 50.37/33.31 tff(34520,plain,
% 50.37/33.31 (v88(constB67, 0)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34519, 26254, 8393])).
% 50.37/33.31 tff(34521,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34522,plain,
% 50.37/33.31 ((v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67)) <=> (v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34523,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67)))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34522])).
% 50.37/33.31 tff(34524,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34523, 34521])).
% 50.37/33.31 tff(34525,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34526,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34525, 34524])).
% 50.37/33.31 tff(34527,plain,
% 50.37/33.31 (v141(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34526, 26268, 34520, 34516, 34512])).
% 50.37/33.31 tff(34528,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB67) | (~v141(constB67)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB67) | (~v141(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34529,plain,
% 50.37/33.31 (((~v141(constB67)) | v199(constB67)) <=> (v199(constB67) | (~v141(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34530,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB67)) | v199(constB67))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB67) | (~v141(constB67))))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34529])).
% 50.37/33.31 tff(34531,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB67)) | v199(constB67))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB67) | (~v141(constB67)))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34530, 34528])).
% 50.37/33.31 tff(34532,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB67)) | v199(constB67))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34533,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB67) | (~v141(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34532, 34531])).
% 50.37/33.31 tff(34534,plain,
% 50.37/33.31 (v199(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34533, 26282, 34527])).
% 50.37/33.31 tff(34535,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB67)) | v198(constB67))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB67)) | v198(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34536,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB67)) | v198(constB67))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34537,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB67)) | v198(constB67)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34536, 34535])).
% 50.37/33.31 tff(34538,plain,
% 50.37/33.31 (v198(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34537, 26293, 34534])).
% 50.37/33.31 tff(34539,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB67)) | (~v201(constB67)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB67)) | (~v201(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34540,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB67)) | (~v201(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34541,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB67)) | (~v201(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34540, 34539])).
% 50.37/33.31 tff(34542,plain,
% 50.37/33.31 (~v201(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34541, 15064, 34538])).
% 50.37/33.31 tff(34543,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB67) | (~v198(constB67)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB67) | (~v198(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34544,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB67) | (~v198(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34545,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB67) | (~v198(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34544, 34543])).
% 50.37/33.31 tff(34546,plain,
% 50.37/33.31 (v197(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34545, 15078, 34538])).
% 50.37/33.31 tff(34547,plain,
% 50.37/33.31 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB67) | (~v197(constB67)) | v201(constB67))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB67) | (~v197(constB67)) | v201(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34548,plain,
% 50.37/33.31 (((~v197(constB67)) | v201(constB67) | v227(constB67)) <=> (v227(constB67) | (~v197(constB67)) | v201(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34549,plain,
% 50.37/33.31 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB67)) | v201(constB67) | v227(constB67))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB67) | (~v197(constB67)) | v201(constB67)))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34548])).
% 50.37/33.31 tff(34550,plain,
% 50.37/33.31 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB67)) | v201(constB67) | v227(constB67))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB67) | (~v197(constB67)) | v201(constB67))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34549, 34547])).
% 50.37/33.31 tff(34551,plain,
% 50.37/33.31 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB67)) | v201(constB67) | v227(constB67))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34552,plain,
% 50.37/33.31 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB67) | (~v197(constB67)) | v201(constB67)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34551, 34550])).
% 50.37/33.31 tff(34553,plain,
% 50.37/33.31 (v227(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34552, 15092, 34546, 34542])).
% 50.37/33.31 tff(34554,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB67)) | (~v223(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB67)) | (~v223(constB67, 0)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34555,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB67)) | (~v223(constB67, 0)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34556,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB67)) | (~v223(constB67, 0))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34555, 34554])).
% 50.37/33.31 tff(34557,plain,
% 50.37/33.31 (~v223(constB67, 0)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34556, 15109, 34553])).
% 50.37/33.31 tff(34558,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB67)) | (~v199(constB67)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB67)) | (~v199(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34559,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB67)) | (~v199(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34560,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB67)) | (~v199(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 50.37/33.31 tff(34561,plain,
% 50.37/33.31 (~v183(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34560, 26326, 34534])).
% 50.37/33.31 tff(34562,plain,
% 50.37/33.31 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB67) | (~v197(constB67)) | v183(constB67))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | (~v197(constB67)) | v183(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34563,plain,
% 50.37/33.31 (((~v197(constB67)) | v183(constB67) | v228(constB67)) <=> (v228(constB67) | (~v197(constB67)) | v183(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34564,plain,
% 50.37/33.31 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB67) | (~v197(constB67)) | v183(constB67)))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34563])).
% 50.37/33.31 tff(34565,plain,
% 50.37/33.31 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | (~v197(constB67)) | v183(constB67))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34564, 34562])).
% 50.37/33.31 tff(34566,plain,
% 50.37/33.31 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34567,plain,
% 50.37/33.31 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | (~v197(constB67)) | v183(constB67)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34566, 34565])).
% 50.37/33.31 tff(34568,plain,
% 50.37/33.31 (v228(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34567, 26340, 34546, 34561])).
% 50.37/33.31 tff(34569,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB67)) | (~v223(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB67)) | (~v223(constB67, 1)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34570,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB67)) | (~v223(constB67, 1)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34571,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB67)) | (~v223(constB67, 1))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34570, 34569])).
% 50.37/33.31 tff(34572,plain,
% 50.37/33.31 (~v223(constB67, 1)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34571, 26357, 34568])).
% 50.37/33.31 tff(34573,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB67, 1) | (~v229(constB67)) | v223(constB67, 0))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB67, 1) | (~v229(constB67)) | v223(constB67, 0))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34574,plain,
% 50.37/33.31 ((v223(constB67, 0) | v223(constB67, 1) | (~v229(constB67))) <=> (v223(constB67, 1) | (~v229(constB67)) | v223(constB67, 0))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34575,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB67, 0) | v223(constB67, 1) | (~v229(constB67)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB67, 1) | (~v229(constB67)) | v223(constB67, 0)))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34574])).
% 50.37/33.31 tff(34576,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB67, 0) | v223(constB67, 1) | (~v229(constB67)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB67, 1) | (~v229(constB67)) | v223(constB67, 0))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34575, 34573])).
% 50.37/33.31 tff(34577,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB67, 0) | v223(constB67, 1) | (~v229(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34578,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB67, 1) | (~v229(constB67)) | v223(constB67, 0)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34577, 34576])).
% 50.37/33.31 tff(34579,plain,
% 50.37/33.31 (~v229(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34578, 26371, 34572, 34557])).
% 50.37/33.31 tff(34580,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB67) | (~v225(constB67)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB67) | (~v225(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34581,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB67) | (~v225(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34582,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB67) | (~v225(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34581, 34580])).
% 50.37/33.31 tff(34583,plain,
% 50.37/33.31 (~v225(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34582, 26388, 34579])).
% 50.37/33.31 tff(34584,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB67) | (~v224(constB67)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB67) | (~v224(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34585,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB67) | (~v224(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34586,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB67) | (~v224(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 50.37/33.31 tff(34587,plain,
% 50.37/33.31 (~v224(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34586, 26402, 34583])).
% 50.37/33.31 tff(34588,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB67)) | v223(constB67, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB67)) | v223(constB67, 1))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34589,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB67)) | v223(constB67, 1))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34590,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB67)) | v223(constB67, 1)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34589, 34588])).
% 50.37/33.31 tff(34591,plain,
% 50.37/33.31 (~v222(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34590, 26413, 34572])).
% 50.37/33.31 tff(34592,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB67) | v224(constB67) | (~v236(constB67)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB67) | v224(constB67) | (~v236(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34593,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB67) | v224(constB67) | (~v236(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34594,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB67) | v224(constB67) | (~v236(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34593, 34592])).
% 50.37/33.31 tff(34595,plain,
% 50.37/33.31 (v224(constB67) | (~v236(constB67))),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34594, 15241, 34591])).
% 50.37/33.31 tff(34596,plain,
% 50.37/33.31 (~v236(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34595, 34587])).
% 50.37/33.31 tff(34597,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB67) | (~v232(constB67)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB67) | (~v232(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34598,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB67) | (~v232(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34599,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB67) | (~v232(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34598, 34597])).
% 50.37/33.31 tff(34600,plain,
% 50.37/33.31 (~v232(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34599, 15255, 34596])).
% 50.37/33.31 tff(34601,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB67)) | (~v88(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB67)) | (~v88(constB67, 1)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34602,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB67)) | (~v88(constB67, 1)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34603,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB67)) | (~v88(constB67, 1))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34602, 34601])).
% 50.37/33.31 tff(34604,plain,
% 50.37/33.31 (~v140(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34603, 15142, 34516])).
% 50.37/33.31 tff(34605,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB67)) | (~v88(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB67)) | (~v88(constB67, 0)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34606,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB67)) | (~v88(constB67, 0)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34607,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB67)) | (~v88(constB67, 0))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34606, 34605])).
% 50.37/33.31 tff(34608,plain,
% 50.37/33.31 (~v139(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34607, 26437, 34520])).
% 50.37/33.31 tff(34609,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v148(constB67)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB67) | v140(constB67) | (~v148(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34610,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v148(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34611,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB67) | v140(constB67) | (~v148(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34610, 34609])).
% 50.37/33.31 tff(34612,plain,
% 50.37/33.31 (~v148(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34611, 15269, 34608, 34604])).
% 50.37/33.31 tff(34613,plain,
% 50.37/33.31 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB67) | v252(constB67) | (~v197(constB67)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB67) | v252(constB67) | (~v197(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34614,plain,
% 50.37/33.31 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB67) | v252(constB67) | (~v197(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34615,plain,
% 50.37/33.31 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB67) | v252(constB67) | (~v197(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34614, 34613])).
% 50.37/33.31 tff(34616,plain,
% 50.37/33.31 (v252(constB67) | (~v197(constB67))),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34615, 15283, 34612])).
% 50.37/33.31 tff(34617,plain,
% 50.37/33.31 (v252(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34616, 34546])).
% 50.37/33.31 tff(34618,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB67)) | (~v223(constB67, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB67)) | (~v223(constB67, 3)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34619,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB67)) | (~v223(constB67, 3)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34620,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB67)) | (~v223(constB67, 3))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34619, 34618])).
% 50.37/33.31 tff(34621,plain,
% 50.37/33.31 (~v223(constB67, 3)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34620, 15298, 34617])).
% 50.37/33.31 tff(34622,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB67)) | v223(constB67, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB67)) | v223(constB67, 3))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34623,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB67)) | v223(constB67, 3))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34624,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB67)) | v223(constB67, 3)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 50.37/33.31 tff(34625,plain,
% 50.37/33.31 (~v237(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34624, 15309, 34621])).
% 50.37/33.31 tff(34626,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB67) | v237(constB67) | (~v248(constB67)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB67) | v237(constB67) | (~v248(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34627,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB67) | v237(constB67) | (~v248(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34628,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB67) | v237(constB67) | (~v248(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 50.37/33.31 tff(34629,plain,
% 50.37/33.31 (v232(constB67) | (~v248(constB67))),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34628, 15323, 34625])).
% 50.37/33.31 tff(34630,plain,
% 50.37/33.31 (~v248(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34629, 34600])).
% 50.37/33.31 tff(34631,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB67) | (~v244(constB67)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB67) | (~v244(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34632,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB67) | (~v244(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34633,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB67) | (~v244(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34632, 34631])).
% 50.37/33.31 tff(34634,plain,
% 50.37/33.31 (~v244(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34633, 15338, 34630])).
% 50.37/33.31 tff(34635,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB67) | (~v216(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB67) | (~v216(constB67, 1)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34636,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB67) | (~v216(constB67, 1)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34637,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB67) | (~v216(constB67, 1))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34636, 34635])).
% 50.37/33.31 tff(34638,plain,
% 50.37/33.31 (~v216(constB67, 1)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34637, 15352, 34634])).
% 50.37/33.31 tff(34639,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB67)) | v216(constB67, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB67)) | v216(constB67, 1))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34640,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB67)) | v216(constB67, 1))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34641,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB67)) | v216(constB67, 1)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34640, 34639])).
% 50.37/33.31 tff(34642,plain,
% 50.37/33.31 (~v254(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34641, 15363, 34638])).
% 50.37/33.31 tff(34643,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB67) | (~v231(constB67)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB67) | (~v231(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34644,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB67) | (~v231(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34645,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB67) | (~v231(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34644, 34643])).
% 50.37/33.31 tff(34646,plain,
% 50.37/33.31 (~v231(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34645, 15391, 34625])).
% 50.37/33.31 tff(34647,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB67) | (~v221(constB67)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB67) | (~v221(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34648,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB67) | (~v221(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34649,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB67) | (~v221(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34648, 34647])).
% 50.37/33.31 tff(34650,plain,
% 50.37/33.31 (~v221(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34649, 26489, 34591])).
% 50.37/33.31 tff(34651,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB67) | v231(constB67) | (~v243(constB67)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB67) | v231(constB67) | (~v243(constB67)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34652,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB67) | v231(constB67) | (~v243(constB67)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34653,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB67) | v231(constB67) | (~v243(constB67))),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34652, 34651])).
% 50.37/33.31 tff(34654,plain,
% 50.37/33.31 (~v243(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34653, 15405, 34650, 34646])).
% 50.37/33.31 tff(34655,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB67) | v255(constB67))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB67) | v255(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34656,plain,
% 50.37/33.31 ((v255(constB67) | v243(constB67)) <=> (v243(constB67) | v255(constB67))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34657,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB67) | v243(constB67))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB67) | v255(constB67)))),
% 50.37/33.31 inference(monotonicity,[status(thm)],[34656])).
% 50.37/33.31 tff(34658,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB67) | v243(constB67))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB67) | v255(constB67))),
% 50.37/33.31 inference(transitivity,[status(thm)],[34657, 34655])).
% 50.37/33.31 tff(34659,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB67) | v243(constB67))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34660,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB67) | v255(constB67)),
% 50.37/33.31 inference(modus_ponens,[status(thm)],[34659, 34658])).
% 50.37/33.31 tff(34661,plain,
% 50.37/33.31 (v255(constB67)),
% 50.37/33.31 inference(unit_resolution,[status(thm)],[34660, 15416, 34654])).
% 50.37/33.31 tff(34662,plain,
% 50.37/33.31 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB67)) | (~v216(constB67, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB67)) | (~v216(constB67, 2)))),
% 50.37/33.31 inference(rewrite,[status(thm)],[])).
% 50.37/33.31 tff(34663,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB67)) | (~v216(constB67, 2)))),
% 50.37/33.31 inference(quant_inst,[status(thm)],[])).
% 50.37/33.31 tff(34664,plain,
% 50.37/33.31 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB67)) | (~v216(constB67, 2))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34663, 34662])).
% 50.37/33.32 tff(34665,plain,
% 50.37/33.32 (~v216(constB67, 2)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34664, 15433, 34661])).
% 50.37/33.32 tff(34666,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB67)) | v216(constB67, 2) | v254(constB67))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB67)) | v216(constB67, 2) | v254(constB67))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34667,plain,
% 50.37/33.32 ((v216(constB67, 2) | v254(constB67) | (~v215(constB67))) <=> ((~v215(constB67)) | v216(constB67, 2) | v254(constB67))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34668,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, 2) | v254(constB67) | (~v215(constB67)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB67)) | v216(constB67, 2) | v254(constB67)))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34667])).
% 50.37/33.32 tff(34669,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, 2) | v254(constB67) | (~v215(constB67)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB67)) | v216(constB67, 2) | v254(constB67))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34668, 34666])).
% 50.37/33.32 tff(34670,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB67, 2) | v254(constB67) | (~v215(constB67)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34671,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB67)) | v216(constB67, 2) | v254(constB67)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34670, 34669])).
% 50.37/33.32 tff(34672,plain,
% 50.37/33.32 ((~v215(constB67)) | v254(constB67)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34671, 15447, 34665])).
% 50.37/33.32 tff(34673,plain,
% 50.37/33.32 (~v215(constB67)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34672, 34642])).
% 50.37/33.32 tff(34674,plain,
% 50.37/33.32 ($false),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34673, 34508])).
% 50.37/33.32 tff(34675,plain,(~(constB67 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.32 tff(34676,assumption,(constB27 = sK_VarCurr), introduced(assumption)).
% 50.37/33.32 tff(34677,plain,
% 50.37/33.32 (v215(constB27) <=> v215(sK_VarCurr)),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34676])).
% 50.37/33.32 tff(34678,plain,
% 50.37/33.32 (v215(sK_VarCurr) <=> v215(constB27)),
% 50.37/33.32 inference(symmetry,[status(thm)],[34677])).
% 50.37/33.32 tff(34679,plain,
% 50.37/33.32 (v215(constB27)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34, 34678])).
% 50.37/33.32 tff(34680,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB27, 1)) | v90(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB27, 1)) | v90(constB27, 1))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34681,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB27, 1)) | v90(constB27, 1))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34682,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB27, 1)) | v90(constB27, 1)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34681, 34680])).
% 50.37/33.32 tff(34683,plain,
% 50.37/33.32 (~v88(constB27, 1)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34682, 26697, 3992])).
% 50.37/33.32 tff(34684,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB27, 2)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB27, 2)) | v90(constB27, 2))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34685,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB27, 2)) | v90(constB27, 2))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34686,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB27, 2)) | v90(constB27, 2)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34685, 34684])).
% 50.37/33.32 tff(34687,plain,
% 50.37/33.32 (~v88(constB27, 2)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34686, 26020, 4015])).
% 50.37/33.32 tff(34688,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB27, 0)) | v88(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB27, 0)) | v88(constB27, 0))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34689,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB27, 0)) | v88(constB27, 0))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34690,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB27, 0)) | v88(constB27, 0)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34689, 34688])).
% 50.37/33.32 tff(34691,plain,
% 50.37/33.32 (v88(constB27, 0)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34690, 26254, 3966])).
% 50.37/33.32 tff(34692,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB27, 0)) | v88(constB27, 2) | v88(constB27, 1) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB27, 0)) | v88(constB27, 2) | v88(constB27, 1) | v140(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34693,plain,
% 50.37/33.32 ((v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27)) <=> ((~v88(constB27, 0)) | v88(constB27, 2) | v88(constB27, 1) | v140(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34694,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB27, 0)) | v88(constB27, 2) | v88(constB27, 1) | v140(constB27)))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34693])).
% 50.37/33.32 tff(34695,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB27, 0)) | v88(constB27, 2) | v88(constB27, 1) | v140(constB27))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34694, 34692])).
% 50.37/33.32 tff(34696,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34697,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB27, 0)) | v88(constB27, 2) | v88(constB27, 1) | v140(constB27)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34696, 34695])).
% 50.37/33.32 tff(34698,plain,
% 50.37/33.32 (v88(constB27, 2) | v88(constB27, 1) | v140(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34697, 26719, 34691])).
% 50.37/33.32 tff(34699,plain,
% 50.37/33.32 (v140(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34698, 34687, 34683])).
% 50.37/33.32 tff(34700,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB27)) | v200(constB27))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB27)) | v200(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34701,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB27)) | v200(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34702,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB27)) | v200(constB27)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34701, 34700])).
% 50.37/33.32 tff(34703,plain,
% 50.37/33.32 (v200(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34702, 26731, 34699])).
% 50.37/33.32 tff(34704,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB27) | (~v200(constB27)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB27) | (~v200(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34705,plain,
% 50.37/33.32 (((~v200(constB27)) | v199(constB27)) <=> (v199(constB27) | (~v200(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34706,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB27)) | v199(constB27))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB27) | (~v200(constB27))))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34705])).
% 50.37/33.32 tff(34707,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB27)) | v199(constB27))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB27) | (~v200(constB27)))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34706, 34704])).
% 50.37/33.32 tff(34708,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB27)) | v199(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34709,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB27) | (~v200(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34708, 34707])).
% 50.37/33.32 tff(34710,plain,
% 50.37/33.32 (v199(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34709, 26742, 34703])).
% 50.37/33.32 tff(34711,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB27)) | v198(constB27))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB27)) | v198(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34712,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB27)) | v198(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34713,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB27)) | v198(constB27)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34712, 34711])).
% 50.37/33.32 tff(34714,plain,
% 50.37/33.32 (v198(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34713, 26293, 34710])).
% 50.37/33.32 tff(34715,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB27)) | (~v201(constB27)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB27)) | (~v201(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34716,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB27)) | (~v201(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34717,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB27)) | (~v201(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34716, 34715])).
% 50.37/33.32 tff(34718,plain,
% 50.37/33.32 (~v201(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34717, 15064, 34714])).
% 50.37/33.32 tff(34719,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB27) | (~v198(constB27)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB27) | (~v198(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34720,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB27) | (~v198(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34721,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB27) | (~v198(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34720, 34719])).
% 50.37/33.32 tff(34722,plain,
% 50.37/33.32 (v197(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34721, 15078, 34714])).
% 50.37/33.32 tff(34723,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB27) | v201(constB27) | (~v197(constB27)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB27) | v201(constB27) | (~v197(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34724,plain,
% 50.37/33.32 (((~v197(constB27)) | v201(constB27) | v227(constB27)) <=> (v227(constB27) | v201(constB27) | (~v197(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34725,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB27)) | v201(constB27) | v227(constB27))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB27) | v201(constB27) | (~v197(constB27))))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34724])).
% 50.37/33.32 tff(34726,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB27)) | v201(constB27) | v227(constB27))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB27) | v201(constB27) | (~v197(constB27)))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34725, 34723])).
% 50.37/33.32 tff(34727,plain,
% 50.37/33.32 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB27)) | v201(constB27) | v227(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34728,plain,
% 50.37/33.32 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB27) | v201(constB27) | (~v197(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 50.37/33.32 tff(34729,plain,
% 50.37/33.32 (v227(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34728, 15092, 34722, 34718])).
% 50.37/33.32 tff(34730,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB27)) | (~v223(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB27)) | (~v223(constB27, 0)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34731,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB27)) | (~v223(constB27, 0)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34732,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB27)) | (~v223(constB27, 0))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34731, 34730])).
% 50.37/33.32 tff(34733,plain,
% 50.37/33.32 (~v223(constB27, 0)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34732, 15109, 34729])).
% 50.37/33.32 tff(34734,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB27)) | (~v199(constB27)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB27)) | (~v199(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34735,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB27)) | (~v199(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34736,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB27)) | (~v199(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34735, 34734])).
% 50.37/33.32 tff(34737,plain,
% 50.37/33.32 (~v183(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34736, 26326, 34710])).
% 50.37/33.32 tff(34738,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB27) | (~v197(constB27)) | v183(constB27))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB27) | (~v197(constB27)) | v183(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34739,plain,
% 50.37/33.32 (((~v197(constB27)) | v183(constB27) | v228(constB27)) <=> (v228(constB27) | (~v197(constB27)) | v183(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34740,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB27)) | v183(constB27) | v228(constB27))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB27) | (~v197(constB27)) | v183(constB27)))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34739])).
% 50.37/33.32 tff(34741,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB27)) | v183(constB27) | v228(constB27))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB27) | (~v197(constB27)) | v183(constB27))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34740, 34738])).
% 50.37/33.32 tff(34742,plain,
% 50.37/33.32 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB27)) | v183(constB27) | v228(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34743,plain,
% 50.37/33.32 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB27) | (~v197(constB27)) | v183(constB27)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34742, 34741])).
% 50.37/33.32 tff(34744,plain,
% 50.37/33.32 (v228(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34743, 26340, 34722, 34737])).
% 50.37/33.32 tff(34745,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB27)) | (~v223(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB27)) | (~v223(constB27, 1)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34746,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB27)) | (~v223(constB27, 1)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34747,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB27)) | (~v223(constB27, 1))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34746, 34745])).
% 50.37/33.32 tff(34748,plain,
% 50.37/33.32 (~v223(constB27, 1)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34747, 26357, 34744])).
% 50.37/33.32 tff(34749,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB27, 1) | v223(constB27, 0) | (~v229(constB27)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB27, 1) | v223(constB27, 0) | (~v229(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34750,plain,
% 50.37/33.32 ((v223(constB27, 0) | v223(constB27, 1) | (~v229(constB27))) <=> (v223(constB27, 1) | v223(constB27, 0) | (~v229(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34751,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB27, 0) | v223(constB27, 1) | (~v229(constB27)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB27, 1) | v223(constB27, 0) | (~v229(constB27))))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34750])).
% 50.37/33.32 tff(34752,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB27, 0) | v223(constB27, 1) | (~v229(constB27)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB27, 1) | v223(constB27, 0) | (~v229(constB27)))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34751, 34749])).
% 50.37/33.32 tff(34753,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB27, 0) | v223(constB27, 1) | (~v229(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34754,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB27, 1) | v223(constB27, 0) | (~v229(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34753, 34752])).
% 50.37/33.32 tff(34755,plain,
% 50.37/33.32 (~v229(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34754, 26371, 34748, 34733])).
% 50.37/33.32 tff(34756,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB27) | (~v225(constB27)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB27) | (~v225(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34757,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB27) | (~v225(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34758,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB27) | (~v225(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34757, 34756])).
% 50.37/33.32 tff(34759,plain,
% 50.37/33.32 (~v225(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34758, 26388, 34755])).
% 50.37/33.32 tff(34760,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB27)) | (~v200(constB27)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB27)) | (~v200(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34761,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB27)) | (~v200(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34762,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB27)) | (~v200(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34761, 34760])).
% 50.37/33.32 tff(34763,plain,
% 50.37/33.32 (~v166(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34762, 26805, 34703])).
% 50.37/33.32 tff(34764,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB27) | v166(constB27) | (~v197(constB27)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB27) | v166(constB27) | (~v197(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34765,plain,
% 50.37/33.32 (((~v197(constB27)) | v166(constB27) | v241(constB27)) <=> (v241(constB27) | v166(constB27) | (~v197(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34766,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB27)) | v166(constB27) | v241(constB27))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB27) | v166(constB27) | (~v197(constB27))))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34765])).
% 50.37/33.32 tff(34767,plain,
% 50.37/33.32 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB27)) | v166(constB27) | v241(constB27))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB27) | v166(constB27) | (~v197(constB27)))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34766, 34764])).
% 50.37/33.32 tff(34768,plain,
% 50.37/33.32 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB27)) | v166(constB27) | v241(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34769,plain,
% 50.37/33.32 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB27) | v166(constB27) | (~v197(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34768, 34767])).
% 50.37/33.32 tff(34770,plain,
% 50.37/33.32 (v241(constB27) | (~v197(constB27))),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34769, 15198, 34763])).
% 50.37/33.32 tff(34771,plain,
% 50.37/33.32 (v241(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34770, 34722])).
% 50.37/33.32 tff(34772,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB27)) | (~v223(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB27)) | (~v223(constB27, 2)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34773,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB27)) | (~v223(constB27, 2)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34774,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB27)) | (~v223(constB27, 2))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34773, 34772])).
% 50.37/33.32 tff(34775,plain,
% 50.37/33.32 (~v223(constB27, 2)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34774, 15216, 34771])).
% 50.37/33.32 tff(34776,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB27) | v223(constB27, 2) | (~v242(constB27)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB27) | v223(constB27, 2) | (~v242(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34777,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB27) | v223(constB27, 2) | (~v242(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34778,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB27) | v223(constB27, 2) | (~v242(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34777, 34776])).
% 50.37/33.32 tff(34779,plain,
% 50.37/33.32 (v225(constB27) | (~v242(constB27))),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34778, 26831, 34775])).
% 50.37/33.32 tff(34780,plain,
% 50.37/33.32 (~v242(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34779, 34759])).
% 50.37/33.32 tff(34781,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB27) | (~v238(constB27)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB27) | (~v238(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34782,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB27) | (~v238(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34783,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB27) | (~v238(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34782, 34781])).
% 50.37/33.32 tff(34784,plain,
% 50.37/33.32 (~v238(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34783, 26846, 34780])).
% 50.37/33.32 tff(34785,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB27) | (~v237(constB27)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB27) | (~v237(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34786,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB27) | (~v237(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34787,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB27) | (~v237(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 50.37/33.32 tff(34788,plain,
% 50.37/33.32 (~v237(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34787, 26860, 34784])).
% 50.37/33.32 tff(34789,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB27)) | v223(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB27)) | v223(constB27, 2))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34790,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB27)) | v223(constB27, 2))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34791,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB27)) | v223(constB27, 2)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34790, 34789])).
% 50.37/33.32 tff(34792,plain,
% 50.37/33.32 (~v224(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34791, 15227, 34775])).
% 50.37/33.32 tff(34793,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB27)) | v223(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB27)) | v223(constB27, 1))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34794,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB27)) | v223(constB27, 1))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34795,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB27)) | v223(constB27, 1)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34794, 34793])).
% 50.37/33.32 tff(34796,plain,
% 50.37/33.32 (~v222(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34795, 26413, 34748])).
% 50.37/33.32 tff(34797,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB27) | v224(constB27) | (~v236(constB27)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB27) | v224(constB27) | (~v236(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34798,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB27) | v224(constB27) | (~v236(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34799,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB27) | v224(constB27) | (~v236(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34798, 34797])).
% 50.37/33.32 tff(34800,plain,
% 50.37/33.32 (~v236(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34799, 15241, 34796, 34792])).
% 50.37/33.32 tff(34801,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB27) | (~v232(constB27)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB27) | (~v232(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34802,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB27) | (~v232(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34803,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB27) | (~v232(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34802, 34801])).
% 50.37/33.32 tff(34804,plain,
% 50.37/33.32 (~v232(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34803, 15255, 34800])).
% 50.37/33.32 tff(34805,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB27) | v237(constB27) | (~v248(constB27)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB27) | v237(constB27) | (~v248(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34806,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB27) | v237(constB27) | (~v248(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34807,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB27) | v237(constB27) | (~v248(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34806, 34805])).
% 50.37/33.32 tff(34808,plain,
% 50.37/33.32 (v237(constB27) | (~v248(constB27))),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34807, 15323, 34804])).
% 50.37/33.32 tff(34809,plain,
% 50.37/33.32 (~v248(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34808, 34788])).
% 50.37/33.32 tff(34810,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB27) | (~v244(constB27)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB27) | (~v244(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34811,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB27) | (~v244(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34812,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB27) | (~v244(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34811, 34810])).
% 50.37/33.32 tff(34813,plain,
% 50.37/33.32 (~v244(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34812, 15338, 34809])).
% 50.37/33.32 tff(34814,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB27) | (~v216(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB27) | (~v216(constB27, 1)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34815,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB27) | (~v216(constB27, 1)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34816,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB27) | (~v216(constB27, 1))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34815, 34814])).
% 50.37/33.32 tff(34817,plain,
% 50.37/33.32 (~v216(constB27, 1)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34816, 15352, 34813])).
% 50.37/33.32 tff(34818,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB27)) | v216(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB27)) | v216(constB27, 1))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34819,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB27)) | v216(constB27, 1))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34820,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB27)) | v216(constB27, 1)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34819, 34818])).
% 50.37/33.32 tff(34821,plain,
% 50.37/33.32 (~v254(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34820, 15363, 34817])).
% 50.37/33.32 tff(34822,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB27) | (~v231(constB27)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB27) | (~v231(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34823,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB27) | (~v231(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34824,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB27) | (~v231(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34823, 34822])).
% 50.37/33.32 tff(34825,plain,
% 50.37/33.32 (~v231(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34824, 26907, 34804])).
% 50.37/33.32 tff(34826,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB27) | (~v221(constB27)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB27) | (~v221(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34827,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB27) | (~v221(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34828,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB27) | (~v221(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34827, 34826])).
% 50.37/33.32 tff(34829,plain,
% 50.37/33.32 (~v221(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34828, 26489, 34796])).
% 50.37/33.32 tff(34830,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB27) | v231(constB27) | (~v243(constB27)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB27) | v231(constB27) | (~v243(constB27)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34831,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB27) | v231(constB27) | (~v243(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34832,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB27) | v231(constB27) | (~v243(constB27))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34831, 34830])).
% 50.37/33.32 tff(34833,plain,
% 50.37/33.32 (v231(constB27) | (~v243(constB27))),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34832, 15405, 34829])).
% 50.37/33.32 tff(34834,plain,
% 50.37/33.32 (~v243(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34833, 34825])).
% 50.37/33.32 tff(34835,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB27) | v255(constB27))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB27) | v255(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34836,plain,
% 50.37/33.32 ((v255(constB27) | v243(constB27)) <=> (v243(constB27) | v255(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34837,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB27) | v243(constB27))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB27) | v255(constB27)))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34836])).
% 50.37/33.32 tff(34838,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB27) | v243(constB27))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB27) | v255(constB27))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34837, 34835])).
% 50.37/33.32 tff(34839,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB27) | v243(constB27))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34840,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB27) | v255(constB27)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34839, 34838])).
% 50.37/33.32 tff(34841,plain,
% 50.37/33.32 (v255(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34840, 15416, 34834])).
% 50.37/33.32 tff(34842,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB27)) | (~v216(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB27)) | (~v216(constB27, 2)))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34843,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB27)) | (~v216(constB27, 2)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34844,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB27)) | (~v216(constB27, 2))),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34843, 34842])).
% 50.37/33.32 tff(34845,plain,
% 50.37/33.32 (~v216(constB27, 2)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34844, 15433, 34841])).
% 50.37/33.32 tff(34846,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB27, 2) | (~v215(constB27)) | v254(constB27))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB27, 2) | (~v215(constB27)) | v254(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34847,plain,
% 50.37/33.32 ((v216(constB27, 2) | v254(constB27) | (~v215(constB27))) <=> (v216(constB27, 2) | (~v215(constB27)) | v254(constB27))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34848,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB27, 2) | v254(constB27) | (~v215(constB27)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB27, 2) | (~v215(constB27)) | v254(constB27)))),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34847])).
% 50.37/33.32 tff(34849,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB27, 2) | v254(constB27) | (~v215(constB27)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB27, 2) | (~v215(constB27)) | v254(constB27))),
% 50.37/33.32 inference(transitivity,[status(thm)],[34848, 34846])).
% 50.37/33.32 tff(34850,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB27, 2) | v254(constB27) | (~v215(constB27)))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34851,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB27, 2) | (~v215(constB27)) | v254(constB27)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34850, 34849])).
% 50.37/33.32 tff(34852,plain,
% 50.37/33.32 ((~v215(constB27)) | v254(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34851, 15447, 34845])).
% 50.37/33.32 tff(34853,plain,
% 50.37/33.32 (~v215(constB27)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34852, 34821])).
% 50.37/33.32 tff(34854,plain,
% 50.37/33.32 ($false),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34853, 34679])).
% 50.37/33.32 tff(34855,plain,(~(constB27 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.32 tff(34856,assumption,(constB195 = sK_VarCurr), introduced(assumption)).
% 50.37/33.32 tff(34857,plain,
% 50.37/33.32 (v215(constB195) <=> v215(sK_VarCurr)),
% 50.37/33.32 inference(monotonicity,[status(thm)],[34856])).
% 50.37/33.32 tff(34858,plain,
% 50.37/33.32 (v215(sK_VarCurr) <=> v215(constB195)),
% 50.37/33.32 inference(symmetry,[status(thm)],[34857])).
% 50.37/33.32 tff(34859,plain,
% 50.37/33.32 (v215(constB195)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34, 34858])).
% 50.37/33.32 tff(34860,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB195, 2)) | v90(constB195, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB195, 2)) | v90(constB195, 2))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34861,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB195, 2)) | v90(constB195, 2))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34862,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB195, 2)) | v90(constB195, 2)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34861, 34860])).
% 50.37/33.32 tff(34863,plain,
% 50.37/33.32 (~v88(constB195, 2)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34862, 26020, 31436])).
% 50.37/33.32 tff(34864,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB195, 1)) | v90(constB195, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB195, 1)) | v90(constB195, 1))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34865,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB195, 1)) | v90(constB195, 1))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34866,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB195, 1)) | v90(constB195, 1)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34865, 34864])).
% 50.37/33.32 tff(34867,plain,
% 50.37/33.32 (~v88(constB195, 1)),
% 50.37/33.32 inference(unit_resolution,[status(thm)],[34866, 26697, 31470])).
% 50.37/33.32 tff(34868,plain,
% 50.37/33.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB195, 0)) | v88(constB195, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB195, 0)) | v88(constB195, 0))),
% 50.37/33.32 inference(rewrite,[status(thm)],[])).
% 50.37/33.32 tff(34869,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB195, 0)) | v88(constB195, 0))),
% 50.37/33.32 inference(quant_inst,[status(thm)],[])).
% 50.37/33.32 tff(34870,plain,
% 50.37/33.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB195, 0)) | v88(constB195, 0)),
% 50.37/33.32 inference(modus_ponens,[status(thm)],[34869, 34868])).
% 50.37/33.33 tff(34871,plain,
% 50.37/33.33 (v88(constB195, 0)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34870, 26254, 31501])).
% 50.37/33.33 tff(34872,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB195, 0)) | v88(constB195, 2) | v88(constB195, 1) | v140(constB195))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB195, 0)) | v88(constB195, 2) | v88(constB195, 1) | v140(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34873,plain,
% 50.37/33.33 ((v88(constB195, 2) | v88(constB195, 1) | (~v88(constB195, 0)) | v140(constB195)) <=> ((~v88(constB195, 0)) | v88(constB195, 2) | v88(constB195, 1) | v140(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34874,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB195, 2) | v88(constB195, 1) | (~v88(constB195, 0)) | v140(constB195))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB195, 0)) | v88(constB195, 2) | v88(constB195, 1) | v140(constB195)))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[34873])).
% 50.37/33.33 tff(34875,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB195, 2) | v88(constB195, 1) | (~v88(constB195, 0)) | v140(constB195))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB195, 0)) | v88(constB195, 2) | v88(constB195, 1) | v140(constB195))),
% 50.37/33.33 inference(transitivity,[status(thm)],[34874, 34872])).
% 50.37/33.33 tff(34876,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB195, 2) | v88(constB195, 1) | (~v88(constB195, 0)) | v140(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34877,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB195, 0)) | v88(constB195, 2) | v88(constB195, 1) | v140(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34876, 34875])).
% 50.37/33.33 tff(34878,plain,
% 50.37/33.33 (v140(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34877, 26719, 34871, 34867, 34863])).
% 50.37/33.33 tff(34879,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB195)) | v200(constB195))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB195)) | v200(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34880,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB195)) | v200(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34881,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB195)) | v200(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34880, 34879])).
% 50.37/33.33 tff(34882,plain,
% 50.37/33.33 (v200(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34881, 26731, 34878])).
% 50.37/33.33 tff(34883,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB195) | (~v200(constB195)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB195) | (~v200(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34884,plain,
% 50.37/33.33 (((~v200(constB195)) | v199(constB195)) <=> (v199(constB195) | (~v200(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34885,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB195)) | v199(constB195))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB195) | (~v200(constB195))))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[34884])).
% 50.37/33.33 tff(34886,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB195)) | v199(constB195))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB195) | (~v200(constB195)))),
% 50.37/33.33 inference(transitivity,[status(thm)],[34885, 34883])).
% 50.37/33.33 tff(34887,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB195)) | v199(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34888,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB195) | (~v200(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34887, 34886])).
% 50.37/33.33 tff(34889,plain,
% 50.37/33.33 (v199(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34888, 26742, 34882])).
% 50.37/33.33 tff(34890,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB195)) | v198(constB195))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB195)) | v198(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34891,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB195)) | v198(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34892,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB195)) | v198(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 50.37/33.33 tff(34893,plain,
% 50.37/33.33 (v198(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34892, 26293, 34889])).
% 50.37/33.33 tff(34894,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB195)) | (~v201(constB195)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB195)) | (~v201(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34895,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB195)) | (~v201(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34896,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB195)) | (~v201(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34895, 34894])).
% 50.37/33.33 tff(34897,plain,
% 50.37/33.33 (~v201(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34896, 15064, 34893])).
% 50.37/33.33 tff(34898,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB195) | (~v198(constB195)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB195) | (~v198(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34899,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB195) | (~v198(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34900,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB195) | (~v198(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34899, 34898])).
% 50.37/33.33 tff(34901,plain,
% 50.37/33.33 (v197(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34900, 15078, 34893])).
% 50.37/33.33 tff(34902,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB195) | (~v197(constB195)) | v201(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB195) | (~v197(constB195)) | v201(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34903,plain,
% 50.37/33.33 (((~v197(constB195)) | v201(constB195) | v227(constB195)) <=> (v227(constB195) | (~v197(constB195)) | v201(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34904,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB195)) | v201(constB195) | v227(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB195) | (~v197(constB195)) | v201(constB195)))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[34903])).
% 50.37/33.33 tff(34905,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB195)) | v201(constB195) | v227(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB195) | (~v197(constB195)) | v201(constB195))),
% 50.37/33.33 inference(transitivity,[status(thm)],[34904, 34902])).
% 50.37/33.33 tff(34906,plain,
% 50.37/33.33 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB195)) | v201(constB195) | v227(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34907,plain,
% 50.37/33.33 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB195) | (~v197(constB195)) | v201(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34906, 34905])).
% 50.37/33.33 tff(34908,plain,
% 50.37/33.33 (v227(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34907, 15092, 34901, 34897])).
% 50.37/33.33 tff(34909,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB195)) | (~v223(constB195, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB195)) | (~v223(constB195, 0)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34910,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB195)) | (~v223(constB195, 0)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34911,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB195)) | (~v223(constB195, 0))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34910, 34909])).
% 50.37/33.33 tff(34912,plain,
% 50.37/33.33 (~v223(constB195, 0)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34911, 15109, 34908])).
% 50.37/33.33 tff(34913,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB195)) | (~v199(constB195)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB195)) | (~v199(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34914,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB195)) | (~v199(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34915,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB195)) | (~v199(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34914, 34913])).
% 50.37/33.33 tff(34916,plain,
% 50.37/33.33 (~v183(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34915, 26326, 34889])).
% 50.37/33.33 tff(34917,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB195) | (~v197(constB195)) | v183(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB195) | (~v197(constB195)) | v183(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34918,plain,
% 50.37/33.33 (((~v197(constB195)) | v183(constB195) | v228(constB195)) <=> (v228(constB195) | (~v197(constB195)) | v183(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34919,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB195)) | v183(constB195) | v228(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB195) | (~v197(constB195)) | v183(constB195)))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[34918])).
% 50.37/33.33 tff(34920,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB195)) | v183(constB195) | v228(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB195) | (~v197(constB195)) | v183(constB195))),
% 50.37/33.33 inference(transitivity,[status(thm)],[34919, 34917])).
% 50.37/33.33 tff(34921,plain,
% 50.37/33.33 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB195)) | v183(constB195) | v228(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34922,plain,
% 50.37/33.33 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB195) | (~v197(constB195)) | v183(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34921, 34920])).
% 50.37/33.33 tff(34923,plain,
% 50.37/33.33 (v228(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34922, 26340, 34901, 34916])).
% 50.37/33.33 tff(34924,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB195)) | (~v223(constB195, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB195)) | (~v223(constB195, 1)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34925,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB195)) | (~v223(constB195, 1)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34926,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB195)) | (~v223(constB195, 1))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34925, 34924])).
% 50.37/33.33 tff(34927,plain,
% 50.37/33.33 (~v223(constB195, 1)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34926, 26357, 34923])).
% 50.37/33.33 tff(34928,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB195, 1) | v223(constB195, 0) | (~v229(constB195)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB195, 1) | v223(constB195, 0) | (~v229(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34929,plain,
% 50.37/33.33 ((v223(constB195, 0) | v223(constB195, 1) | (~v229(constB195))) <=> (v223(constB195, 1) | v223(constB195, 0) | (~v229(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34930,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB195, 0) | v223(constB195, 1) | (~v229(constB195)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB195, 1) | v223(constB195, 0) | (~v229(constB195))))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[34929])).
% 50.37/33.33 tff(34931,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB195, 0) | v223(constB195, 1) | (~v229(constB195)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB195, 1) | v223(constB195, 0) | (~v229(constB195)))),
% 50.37/33.33 inference(transitivity,[status(thm)],[34930, 34928])).
% 50.37/33.33 tff(34932,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB195, 0) | v223(constB195, 1) | (~v229(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34933,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB195, 1) | v223(constB195, 0) | (~v229(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34932, 34931])).
% 50.37/33.33 tff(34934,plain,
% 50.37/33.33 (~v229(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34933, 26371, 34927, 34912])).
% 50.37/33.33 tff(34935,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB195) | (~v225(constB195)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB195) | (~v225(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34936,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB195) | (~v225(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34937,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB195) | (~v225(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34936, 34935])).
% 50.37/33.33 tff(34938,plain,
% 50.37/33.33 (~v225(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34937, 26388, 34934])).
% 50.37/33.33 tff(34939,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB195)) | (~v200(constB195)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB195)) | (~v200(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34940,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB195)) | (~v200(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34941,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB195)) | (~v200(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34940, 34939])).
% 50.37/33.33 tff(34942,plain,
% 50.37/33.33 (~v166(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34941, 26805, 34882])).
% 50.37/33.33 tff(34943,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB195) | (~v197(constB195)) | v166(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB195) | (~v197(constB195)) | v166(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34944,plain,
% 50.37/33.33 (((~v197(constB195)) | v166(constB195) | v241(constB195)) <=> (v241(constB195) | (~v197(constB195)) | v166(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34945,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB195)) | v166(constB195) | v241(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB195) | (~v197(constB195)) | v166(constB195)))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[34944])).
% 50.37/33.33 tff(34946,plain,
% 50.37/33.33 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB195)) | v166(constB195) | v241(constB195))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB195) | (~v197(constB195)) | v166(constB195))),
% 50.37/33.33 inference(transitivity,[status(thm)],[34945, 34943])).
% 50.37/33.33 tff(34947,plain,
% 50.37/33.33 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB195)) | v166(constB195) | v241(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34948,plain,
% 50.37/33.33 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB195) | (~v197(constB195)) | v166(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34947, 34946])).
% 50.37/33.33 tff(34949,plain,
% 50.37/33.33 (v241(constB195) | (~v197(constB195))),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34948, 15198, 34942])).
% 50.37/33.33 tff(34950,plain,
% 50.37/33.33 (v241(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34949, 34901])).
% 50.37/33.33 tff(34951,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB195)) | (~v223(constB195, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB195)) | (~v223(constB195, 2)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34952,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB195)) | (~v223(constB195, 2)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34953,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB195)) | (~v223(constB195, 2))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34952, 34951])).
% 50.37/33.33 tff(34954,plain,
% 50.37/33.33 (~v223(constB195, 2)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34953, 15216, 34950])).
% 50.37/33.33 tff(34955,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB195, 2) | v225(constB195) | (~v242(constB195)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB195, 2) | v225(constB195) | (~v242(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34956,plain,
% 50.37/33.33 ((v225(constB195) | v223(constB195, 2) | (~v242(constB195))) <=> (v223(constB195, 2) | v225(constB195) | (~v242(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34957,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB195) | v223(constB195, 2) | (~v242(constB195)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB195, 2) | v225(constB195) | (~v242(constB195))))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[34956])).
% 50.37/33.33 tff(34958,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB195) | v223(constB195, 2) | (~v242(constB195)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB195, 2) | v225(constB195) | (~v242(constB195)))),
% 50.37/33.33 inference(transitivity,[status(thm)],[34957, 34955])).
% 50.37/33.33 tff(34959,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB195) | v223(constB195, 2) | (~v242(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34960,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB195, 2) | v225(constB195) | (~v242(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34959, 34958])).
% 50.37/33.33 tff(34961,plain,
% 50.37/33.33 (v225(constB195) | (~v242(constB195))),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34960, 26831, 34954])).
% 50.37/33.33 tff(34962,plain,
% 50.37/33.33 (~v242(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34961, 34938])).
% 50.37/33.33 tff(34963,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB195) | (~v238(constB195)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB195) | (~v238(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34964,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB195) | (~v238(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34965,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB195) | (~v238(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34964, 34963])).
% 50.37/33.33 tff(34966,plain,
% 50.37/33.33 (~v238(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34965, 26846, 34962])).
% 50.37/33.33 tff(34967,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB195) | (~v237(constB195)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB195) | (~v237(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34968,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB195) | (~v237(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34969,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB195) | (~v237(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34968, 34967])).
% 50.37/33.33 tff(34970,plain,
% 50.37/33.33 (~v237(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34969, 26860, 34966])).
% 50.37/33.33 tff(34971,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB195)) | v223(constB195, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB195)) | v223(constB195, 2))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34972,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB195)) | v223(constB195, 2))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34973,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB195)) | v223(constB195, 2)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34972, 34971])).
% 50.37/33.33 tff(34974,plain,
% 50.37/33.33 (~v224(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34973, 15227, 34954])).
% 50.37/33.33 tff(34975,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB195)) | v223(constB195, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB195)) | v223(constB195, 1))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34976,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB195)) | v223(constB195, 1))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34977,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB195)) | v223(constB195, 1)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34976, 34975])).
% 50.37/33.33 tff(34978,plain,
% 50.37/33.33 (~v222(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34977, 26413, 34927])).
% 50.37/33.33 tff(34979,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB195) | v224(constB195) | (~v236(constB195)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB195) | v224(constB195) | (~v236(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34980,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB195) | v224(constB195) | (~v236(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34981,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB195) | v224(constB195) | (~v236(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34980, 34979])).
% 50.37/33.33 tff(34982,plain,
% 50.37/33.33 (~v236(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34981, 15241, 34978, 34974])).
% 50.37/33.33 tff(34983,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB195) | (~v232(constB195)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB195) | (~v232(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34984,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB195) | (~v232(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34985,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB195) | (~v232(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34984, 34983])).
% 50.37/33.33 tff(34986,plain,
% 50.37/33.33 (~v232(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34985, 15255, 34982])).
% 50.37/33.33 tff(34987,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB195) | v237(constB195) | (~v248(constB195)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB195) | v237(constB195) | (~v248(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34988,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB195) | v237(constB195) | (~v248(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34989,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB195) | v237(constB195) | (~v248(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34988, 34987])).
% 50.37/33.33 tff(34990,plain,
% 50.37/33.33 (v237(constB195) | (~v248(constB195))),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34989, 15323, 34986])).
% 50.37/33.33 tff(34991,plain,
% 50.37/33.33 (~v248(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34990, 34970])).
% 50.37/33.33 tff(34992,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB195) | (~v244(constB195)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB195) | (~v244(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34993,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB195) | (~v244(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34994,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB195) | (~v244(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 50.37/33.33 tff(34995,plain,
% 50.37/33.33 (~v244(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34994, 15338, 34991])).
% 50.37/33.33 tff(34996,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB195) | (~v216(constB195, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB195) | (~v216(constB195, 1)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(34997,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB195) | (~v216(constB195, 1)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(34998,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB195) | (~v216(constB195, 1))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 50.37/33.33 tff(34999,plain,
% 50.37/33.33 (~v216(constB195, 1)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[34998, 15352, 34995])).
% 50.37/33.33 tff(35000,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB195)) | v216(constB195, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB195)) | v216(constB195, 1))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35001,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB195)) | v216(constB195, 1))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35002,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB195)) | v216(constB195, 1)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 50.37/33.33 tff(35003,plain,
% 50.37/33.33 (~v254(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35002, 15363, 34999])).
% 50.37/33.33 tff(35004,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB195) | (~v231(constB195)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB195) | (~v231(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35005,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB195) | (~v231(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35006,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB195) | (~v231(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35005, 35004])).
% 50.37/33.33 tff(35007,plain,
% 50.37/33.33 (~v231(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35006, 26907, 34986])).
% 50.37/33.33 tff(35008,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB195) | (~v221(constB195)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB195) | (~v221(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35009,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB195) | (~v221(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35010,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB195) | (~v221(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35009, 35008])).
% 50.37/33.33 tff(35011,plain,
% 50.37/33.33 (~v221(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35010, 26489, 34978])).
% 50.37/33.33 tff(35012,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB195) | v231(constB195) | (~v243(constB195)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB195) | v231(constB195) | (~v243(constB195)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35013,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB195) | v231(constB195) | (~v243(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35014,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB195) | v231(constB195) | (~v243(constB195))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35013, 35012])).
% 50.37/33.33 tff(35015,plain,
% 50.37/33.33 (v231(constB195) | (~v243(constB195))),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35014, 15405, 35011])).
% 50.37/33.33 tff(35016,plain,
% 50.37/33.33 (~v243(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35015, 35007])).
% 50.37/33.33 tff(35017,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB195) | v255(constB195))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB195) | v255(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35018,plain,
% 50.37/33.33 ((v255(constB195) | v243(constB195)) <=> (v243(constB195) | v255(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35019,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB195) | v243(constB195))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB195) | v255(constB195)))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[35018])).
% 50.37/33.33 tff(35020,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB195) | v243(constB195))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB195) | v255(constB195))),
% 50.37/33.33 inference(transitivity,[status(thm)],[35019, 35017])).
% 50.37/33.33 tff(35021,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB195) | v243(constB195))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35022,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB195) | v255(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35021, 35020])).
% 50.37/33.33 tff(35023,plain,
% 50.37/33.33 (v255(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35022, 15416, 35016])).
% 50.37/33.33 tff(35024,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB195)) | (~v216(constB195, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB195)) | (~v216(constB195, 2)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35025,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB195)) | (~v216(constB195, 2)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35026,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB195)) | (~v216(constB195, 2))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35025, 35024])).
% 50.37/33.33 tff(35027,plain,
% 50.37/33.33 (~v216(constB195, 2)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35026, 15433, 35023])).
% 50.37/33.33 tff(35028,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, 2) | (~v215(constB195)) | v254(constB195))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB195, 2) | (~v215(constB195)) | v254(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35029,plain,
% 50.37/33.33 ((v216(constB195, 2) | v254(constB195) | (~v215(constB195))) <=> (v216(constB195, 2) | (~v215(constB195)) | v254(constB195))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35030,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, 2) | v254(constB195) | (~v215(constB195)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, 2) | (~v215(constB195)) | v254(constB195)))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[35029])).
% 50.37/33.33 tff(35031,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, 2) | v254(constB195) | (~v215(constB195)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB195, 2) | (~v215(constB195)) | v254(constB195))),
% 50.37/33.33 inference(transitivity,[status(thm)],[35030, 35028])).
% 50.37/33.33 tff(35032,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, 2) | v254(constB195) | (~v215(constB195)))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35033,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB195, 2) | (~v215(constB195)) | v254(constB195)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35032, 35031])).
% 50.37/33.33 tff(35034,plain,
% 50.37/33.33 ((~v215(constB195)) | v254(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35033, 15447, 35027])).
% 50.37/33.33 tff(35035,plain,
% 50.37/33.33 (~v215(constB195)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35034, 35003])).
% 50.37/33.33 tff(35036,plain,
% 50.37/33.33 ($false),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35035, 34859])).
% 50.37/33.33 tff(35037,plain,(~(constB195 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.33 tff(35038,assumption,(constB79 = sK_VarCurr), introduced(assumption)).
% 50.37/33.33 tff(35039,plain,
% 50.37/33.33 (v215(constB79) <=> v215(sK_VarCurr)),
% 50.37/33.33 inference(monotonicity,[status(thm)],[35038])).
% 50.37/33.33 tff(35040,plain,
% 50.37/33.33 (v215(sK_VarCurr) <=> v215(constB79)),
% 50.37/33.33 inference(symmetry,[status(thm)],[35039])).
% 50.37/33.33 tff(35041,plain,
% 50.37/33.33 (v215(constB79)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[34, 35040])).
% 50.37/33.33 tff(35042,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB79, 2)) | v90(constB79, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB79, 2)) | v90(constB79, 2))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35043,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB79, 2)) | v90(constB79, 2))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35044,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB79, 2)) | v90(constB79, 2)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35043, 35042])).
% 50.37/33.33 tff(35045,plain,
% 50.37/33.33 (~v88(constB79, 2)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35044, 26020, 9530])).
% 50.37/33.33 tff(35046,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB79, 1)) | v88(constB79, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB79, 1)) | v88(constB79, 1))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35047,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB79, 1)) | v88(constB79, 1))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35048,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB79, 1)) | v88(constB79, 1)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35047, 35046])).
% 50.37/33.33 tff(35049,plain,
% 50.37/33.33 (v88(constB79, 1)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35048, 15014, 9561])).
% 50.37/33.33 tff(35050,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB79, 0)) | v88(constB79, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB79, 0)) | v88(constB79, 0))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35051,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB79, 0)) | v88(constB79, 0))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35052,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB79, 0)) | v88(constB79, 0)),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35051, 35050])).
% 50.37/33.33 tff(35053,plain,
% 50.37/33.33 (v88(constB79, 0)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35052, 26254, 9592])).
% 50.37/33.33 tff(35054,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79) | (~v88(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79) | (~v88(constB79, 0)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35055,plain,
% 50.37/33.33 ((v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79)) <=> (v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79) | (~v88(constB79, 0)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35056,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79) | (~v88(constB79, 0))))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[35055])).
% 50.37/33.33 tff(35057,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79) | (~v88(constB79, 0)))),
% 50.37/33.33 inference(transitivity,[status(thm)],[35056, 35054])).
% 50.37/33.33 tff(35058,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35059,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79) | (~v88(constB79, 0))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35058, 35057])).
% 50.37/33.33 tff(35060,plain,
% 50.37/33.33 (v141(constB79)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35059, 26268, 35053, 35049, 35045])).
% 50.37/33.33 tff(35061,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB79) | (~v141(constB79)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB79) | (~v141(constB79)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35062,plain,
% 50.37/33.33 (((~v141(constB79)) | v199(constB79)) <=> (v199(constB79) | (~v141(constB79)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35063,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB79)) | v199(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB79) | (~v141(constB79))))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[35062])).
% 50.37/33.33 tff(35064,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB79)) | v199(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB79) | (~v141(constB79)))),
% 50.37/33.33 inference(transitivity,[status(thm)],[35063, 35061])).
% 50.37/33.33 tff(35065,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB79)) | v199(constB79))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35066,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB79) | (~v141(constB79))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35065, 35064])).
% 50.37/33.33 tff(35067,plain,
% 50.37/33.33 (v199(constB79)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35066, 26282, 35060])).
% 50.37/33.33 tff(35068,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB79) | (~v199(constB79)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB79) | (~v199(constB79)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35069,plain,
% 50.37/33.33 (((~v199(constB79)) | v198(constB79)) <=> (v198(constB79) | (~v199(constB79)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35070,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB79)) | v198(constB79))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB79) | (~v199(constB79))))),
% 50.37/33.33 inference(monotonicity,[status(thm)],[35069])).
% 50.37/33.33 tff(35071,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB79)) | v198(constB79))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB79) | (~v199(constB79)))),
% 50.37/33.33 inference(transitivity,[status(thm)],[35070, 35068])).
% 50.37/33.33 tff(35072,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB79)) | v198(constB79))),
% 50.37/33.33 inference(quant_inst,[status(thm)],[])).
% 50.37/33.33 tff(35073,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB79) | (~v199(constB79))),
% 50.37/33.33 inference(modus_ponens,[status(thm)],[35072, 35071])).
% 50.37/33.33 tff(35074,plain,
% 50.37/33.33 (v198(constB79)),
% 50.37/33.33 inference(unit_resolution,[status(thm)],[35073, 26293, 35067])).
% 50.37/33.33 tff(35075,plain,
% 50.37/33.33 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB79)) | (~v201(constB79)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB79)) | (~v201(constB79)))),
% 50.37/33.33 inference(rewrite,[status(thm)],[])).
% 50.37/33.33 tff(35076,plain,
% 50.37/33.33 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB79)) | (~v201(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35077,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB79)) | (~v201(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 50.37/33.34 tff(35078,plain,
% 50.37/33.34 (~v201(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35077, 15064, 35074])).
% 50.37/33.34 tff(35079,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB79) | (~v198(constB79)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB79) | (~v198(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35080,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB79) | (~v198(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35081,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB79) | (~v198(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 50.37/33.34 tff(35082,plain,
% 50.37/33.34 (v197(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35081, 15078, 35074])).
% 50.37/33.34 tff(35083,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB79) | (~v197(constB79)) | v201(constB79))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB79) | (~v197(constB79)) | v201(constB79))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35084,plain,
% 50.37/33.34 (((~v197(constB79)) | v201(constB79) | v227(constB79)) <=> (v227(constB79) | (~v197(constB79)) | v201(constB79))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35085,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB79)) | v201(constB79) | v227(constB79))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB79) | (~v197(constB79)) | v201(constB79)))),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35084])).
% 50.37/33.34 tff(35086,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB79)) | v201(constB79) | v227(constB79))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB79) | (~v197(constB79)) | v201(constB79))),
% 50.37/33.34 inference(transitivity,[status(thm)],[35085, 35083])).
% 50.37/33.34 tff(35087,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB79)) | v201(constB79) | v227(constB79))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35088,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB79) | (~v197(constB79)) | v201(constB79)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35087, 35086])).
% 50.37/33.34 tff(35089,plain,
% 50.37/33.34 (v227(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35088, 15092, 35082, 35078])).
% 50.37/33.34 tff(35090,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB79)) | (~v223(constB79, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB79)) | (~v223(constB79, 0)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35091,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB79)) | (~v223(constB79, 0)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35092,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB79)) | (~v223(constB79, 0))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35091, 35090])).
% 50.37/33.34 tff(35093,plain,
% 50.37/33.34 (~v223(constB79, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35092, 15109, 35089])).
% 50.37/33.34 tff(35094,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB79)) | (~v199(constB79)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB79)) | (~v199(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35095,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB79)) | (~v199(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35096,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB79)) | (~v199(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35095, 35094])).
% 50.37/33.34 tff(35097,plain,
% 50.37/33.34 (~v183(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35096, 26326, 35067])).
% 50.37/33.34 tff(35098,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB79) | (~v197(constB79)) | v183(constB79))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB79) | (~v197(constB79)) | v183(constB79))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35099,plain,
% 50.37/33.34 (((~v197(constB79)) | v183(constB79) | v228(constB79)) <=> (v228(constB79) | (~v197(constB79)) | v183(constB79))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35100,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB79)) | v183(constB79) | v228(constB79))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB79) | (~v197(constB79)) | v183(constB79)))),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35099])).
% 50.37/33.34 tff(35101,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB79)) | v183(constB79) | v228(constB79))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB79) | (~v197(constB79)) | v183(constB79))),
% 50.37/33.34 inference(transitivity,[status(thm)],[35100, 35098])).
% 50.37/33.34 tff(35102,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB79)) | v183(constB79) | v228(constB79))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35103,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB79) | (~v197(constB79)) | v183(constB79)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35102, 35101])).
% 50.37/33.34 tff(35104,plain,
% 50.37/33.34 (v228(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35103, 26340, 35082, 35097])).
% 50.37/33.34 tff(35105,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB79)) | (~v223(constB79, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB79)) | (~v223(constB79, 1)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35106,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB79)) | (~v223(constB79, 1)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35107,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB79)) | (~v223(constB79, 1))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35106, 35105])).
% 50.37/33.34 tff(35108,plain,
% 50.37/33.34 (~v223(constB79, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35107, 26357, 35104])).
% 50.37/33.34 tff(35109,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB79, 1) | v223(constB79, 0) | (~v229(constB79)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB79, 1) | v223(constB79, 0) | (~v229(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35110,plain,
% 50.37/33.34 ((v223(constB79, 0) | v223(constB79, 1) | (~v229(constB79))) <=> (v223(constB79, 1) | v223(constB79, 0) | (~v229(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35111,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB79, 0) | v223(constB79, 1) | (~v229(constB79)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB79, 1) | v223(constB79, 0) | (~v229(constB79))))),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35110])).
% 50.37/33.34 tff(35112,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB79, 0) | v223(constB79, 1) | (~v229(constB79)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB79, 1) | v223(constB79, 0) | (~v229(constB79)))),
% 50.37/33.34 inference(transitivity,[status(thm)],[35111, 35109])).
% 50.37/33.34 tff(35113,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB79, 0) | v223(constB79, 1) | (~v229(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35114,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB79, 1) | v223(constB79, 0) | (~v229(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35113, 35112])).
% 50.37/33.34 tff(35115,plain,
% 50.37/33.34 (~v229(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35114, 26371, 35108, 35093])).
% 50.37/33.34 tff(35116,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB79) | (~v225(constB79)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB79) | (~v225(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35117,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB79) | (~v225(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35118,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB79) | (~v225(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35117, 35116])).
% 50.37/33.34 tff(35119,plain,
% 50.37/33.34 (~v225(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35118, 26388, 35115])).
% 50.37/33.34 tff(35120,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB79) | (~v224(constB79)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB79) | (~v224(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35121,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB79) | (~v224(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35122,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB79) | (~v224(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35121, 35120])).
% 50.37/33.34 tff(35123,plain,
% 50.37/33.34 (~v224(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35122, 26402, 35119])).
% 50.37/33.34 tff(35124,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB79)) | v223(constB79, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB79)) | v223(constB79, 1))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35125,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB79)) | v223(constB79, 1))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35126,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB79)) | v223(constB79, 1)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35125, 35124])).
% 50.37/33.34 tff(35127,plain,
% 50.37/33.34 (~v222(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35126, 26413, 35108])).
% 50.37/33.34 tff(35128,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB79) | v224(constB79) | (~v236(constB79)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB79) | v224(constB79) | (~v236(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35129,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB79) | v224(constB79) | (~v236(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35130,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB79) | v224(constB79) | (~v236(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35129, 35128])).
% 50.37/33.34 tff(35131,plain,
% 50.37/33.34 (v224(constB79) | (~v236(constB79))),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35130, 15241, 35127])).
% 50.37/33.34 tff(35132,plain,
% 50.37/33.34 (~v236(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35131, 35123])).
% 50.37/33.34 tff(35133,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB79) | (~v232(constB79)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB79) | (~v232(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35134,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB79) | (~v232(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35135,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB79) | (~v232(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35134, 35133])).
% 50.37/33.34 tff(35136,plain,
% 50.37/33.34 (~v232(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35135, 15255, 35132])).
% 50.37/33.34 tff(35137,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB79)) | (~v88(constB79, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB79)) | (~v88(constB79, 1)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35138,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB79)) | (~v88(constB79, 1)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35139,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB79)) | (~v88(constB79, 1))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35138, 35137])).
% 50.37/33.34 tff(35140,plain,
% 50.37/33.34 (~v140(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35139, 15142, 35049])).
% 50.37/33.34 tff(35141,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB79)) | (~v88(constB79, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB79)) | (~v88(constB79, 0)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35142,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB79)) | (~v88(constB79, 0)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35143,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB79)) | (~v88(constB79, 0))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35142, 35141])).
% 50.37/33.34 tff(35144,plain,
% 50.37/33.34 (~v139(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35143, 26437, 35053])).
% 50.37/33.34 tff(35145,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB79) | v140(constB79) | (~v148(constB79)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB79) | v140(constB79) | (~v148(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35146,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB79) | v140(constB79) | (~v148(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35147,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB79) | v140(constB79) | (~v148(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35146, 35145])).
% 50.37/33.34 tff(35148,plain,
% 50.37/33.34 (~v148(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35147, 15269, 35144, 35140])).
% 50.37/33.34 tff(35149,plain,
% 50.37/33.34 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB79) | v252(constB79) | (~v197(constB79)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB79) | v252(constB79) | (~v197(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35150,plain,
% 50.37/33.34 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB79) | v252(constB79) | (~v197(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35151,plain,
% 50.37/33.34 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB79) | v252(constB79) | (~v197(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35150, 35149])).
% 50.37/33.34 tff(35152,plain,
% 50.37/33.34 (v252(constB79) | (~v197(constB79))),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35151, 15283, 35148])).
% 50.37/33.34 tff(35153,plain,
% 50.37/33.34 (v252(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35152, 35082])).
% 50.37/33.34 tff(35154,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB79)) | (~v223(constB79, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB79)) | (~v223(constB79, 3)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35155,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB79)) | (~v223(constB79, 3)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35156,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB79)) | (~v223(constB79, 3))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35155, 35154])).
% 50.37/33.34 tff(35157,plain,
% 50.37/33.34 (~v223(constB79, 3)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35156, 15298, 35153])).
% 50.37/33.34 tff(35158,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB79)) | v223(constB79, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB79)) | v223(constB79, 3))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35159,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB79)) | v223(constB79, 3))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35160,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB79)) | v223(constB79, 3)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35159, 35158])).
% 50.37/33.34 tff(35161,plain,
% 50.37/33.34 (~v237(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35160, 15309, 35157])).
% 50.37/33.34 tff(35162,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB79) | v237(constB79) | (~v248(constB79)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB79) | v237(constB79) | (~v248(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35163,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB79) | v237(constB79) | (~v248(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35164,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB79) | v237(constB79) | (~v248(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35163, 35162])).
% 50.37/33.34 tff(35165,plain,
% 50.37/33.34 (v232(constB79) | (~v248(constB79))),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35164, 15323, 35161])).
% 50.37/33.34 tff(35166,plain,
% 50.37/33.34 (~v248(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35165, 35136])).
% 50.37/33.34 tff(35167,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB79) | (~v244(constB79)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB79) | (~v244(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35168,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB79) | (~v244(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35169,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB79) | (~v244(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35168, 35167])).
% 50.37/33.34 tff(35170,plain,
% 50.37/33.34 (~v244(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35169, 15338, 35166])).
% 50.37/33.34 tff(35171,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB79) | (~v216(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB79) | (~v216(constB79, 1)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35172,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB79) | (~v216(constB79, 1)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35173,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB79) | (~v216(constB79, 1))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35172, 35171])).
% 50.37/33.34 tff(35174,plain,
% 50.37/33.34 (~v216(constB79, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35173, 15352, 35170])).
% 50.37/33.34 tff(35175,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB79)) | v216(constB79, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB79)) | v216(constB79, 1))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35176,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB79)) | v216(constB79, 1))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35177,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB79)) | v216(constB79, 1)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35176, 35175])).
% 50.37/33.34 tff(35178,plain,
% 50.37/33.34 (~v254(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35177, 15363, 35174])).
% 50.37/33.34 tff(35179,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB79) | (~v231(constB79)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB79) | (~v231(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35180,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB79) | (~v231(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35181,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB79) | (~v231(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35180, 35179])).
% 50.37/33.34 tff(35182,plain,
% 50.37/33.34 (~v231(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35181, 15391, 35161])).
% 50.37/33.34 tff(35183,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB79) | (~v221(constB79)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB79) | (~v221(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35184,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB79) | (~v221(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35185,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB79) | (~v221(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35184, 35183])).
% 50.37/33.34 tff(35186,plain,
% 50.37/33.34 (~v221(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35185, 26489, 35127])).
% 50.37/33.34 tff(35187,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB79) | v231(constB79) | (~v243(constB79)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB79) | v231(constB79) | (~v243(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35188,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB79) | v231(constB79) | (~v243(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35189,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB79) | v231(constB79) | (~v243(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 50.37/33.34 tff(35190,plain,
% 50.37/33.34 (~v243(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35189, 15405, 35186, 35182])).
% 50.37/33.34 tff(35191,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB79) | v255(constB79))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB79) | v255(constB79))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35192,plain,
% 50.37/33.34 ((v255(constB79) | v243(constB79)) <=> (v243(constB79) | v255(constB79))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35193,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB79) | v243(constB79))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB79) | v255(constB79)))),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35192])).
% 50.37/33.34 tff(35194,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB79) | v243(constB79))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB79) | v255(constB79))),
% 50.37/33.34 inference(transitivity,[status(thm)],[35193, 35191])).
% 50.37/33.34 tff(35195,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB79) | v243(constB79))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35196,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB79) | v255(constB79)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35195, 35194])).
% 50.37/33.34 tff(35197,plain,
% 50.37/33.34 (v255(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35196, 15416, 35190])).
% 50.37/33.34 tff(35198,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB79)) | (~v216(constB79, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB79)) | (~v216(constB79, 2)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35199,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB79)) | (~v216(constB79, 2)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35200,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB79)) | (~v216(constB79, 2))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35199, 35198])).
% 50.37/33.34 tff(35201,plain,
% 50.37/33.34 (~v216(constB79, 2)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35200, 15433, 35197])).
% 50.37/33.34 tff(35202,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, 2) | v254(constB79) | (~v215(constB79)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB79, 2) | v254(constB79) | (~v215(constB79)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35203,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, 2) | v254(constB79) | (~v215(constB79)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35204,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB79, 2) | v254(constB79) | (~v215(constB79))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35203, 35202])).
% 50.37/33.34 tff(35205,plain,
% 50.37/33.34 (v254(constB79) | (~v215(constB79))),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35204, 15447, 35201])).
% 50.37/33.34 tff(35206,plain,
% 50.37/33.34 (~v215(constB79)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35205, 35178])).
% 50.37/33.34 tff(35207,plain,
% 50.37/33.34 ($false),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35206, 35041])).
% 50.37/33.34 tff(35208,plain,(~(constB79 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.34 tff(35209,assumption,(constB111 = sK_VarCurr), introduced(assumption)).
% 50.37/33.34 tff(35210,plain,
% 50.37/33.34 (v215(constB111) <=> v215(sK_VarCurr)),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35209])).
% 50.37/33.34 tff(35211,plain,
% 50.37/33.34 (v215(sK_VarCurr) <=> v215(constB111)),
% 50.37/33.34 inference(symmetry,[status(thm)],[35210])).
% 50.37/33.34 tff(35212,plain,
% 50.37/33.34 (v215(constB111)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[34, 35211])).
% 50.37/33.34 tff(35213,plain,
% 50.37/33.34 (v125(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13718, 1953, 24695, 24715, 24705])).
% 50.37/33.34 tff(35214,plain,
% 50.37/33.34 (v113(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13725, 1964, 35213])).
% 50.37/33.34 tff(35215,plain,
% 50.37/33.34 (v112(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13737, 35214])).
% 50.37/33.34 tff(35216,plain,
% 50.37/33.34 (v108(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13744, 292, 35215])).
% 50.37/33.34 tff(35217,plain,
% 50.37/33.34 (v110(constB110)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13755, 35216])).
% 50.37/33.34 tff(35218,plain,
% 50.37/33.34 (v100(constB110)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13781, 35217])).
% 50.37/33.34 tff(35219,plain,
% 50.37/33.34 (~v122(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13789, 2039, 24705])).
% 50.37/33.34 tff(35220,plain,
% 50.37/33.34 (~v121(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13785, 2028, 24705])).
% 50.37/33.34 tff(35221,plain,
% 50.37/33.34 (~v124(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13805, 2083, 24715])).
% 50.37/33.34 tff(35222,plain,
% 50.37/33.34 (~v123(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13801, 2072, 24715])).
% 50.37/33.34 tff(35223,plain,
% 50.37/33.34 (~v119(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13793, 2050, 24715])).
% 50.37/33.34 tff(35224,plain,
% 50.37/33.34 (~v120(constB109)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13797, 2061, 24715])).
% 50.37/33.34 tff(35225,plain,
% 50.37/33.34 (~v130(constB109, 2)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13809, 2097, 35224, 35223, 35222, 35221, 35220, 35219])).
% 50.37/33.34 tff(35226,plain,
% 50.37/33.34 (~v127(constB109, 2)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13817, 35225])).
% 50.37/33.34 tff(35227,plain,
% 50.37/33.34 (~v129(constB110, 2)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13822, 35226])).
% 50.37/33.34 tff(35228,plain,
% 50.37/33.34 ((~v90(constB110, 2)) | (~v100(constB110))),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13826, 626, 35227])).
% 50.37/33.34 tff(35229,plain,
% 50.37/33.34 (~v90(constB110, 2)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35228, 35218])).
% 50.37/33.34 tff(35230,plain,
% 50.37/33.34 (~v90(constB111, 2)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13854, 35229])).
% 50.37/33.34 tff(35231,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB111, 2)) | v90(constB111, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB111, 2)) | v90(constB111, 2))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35232,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB111, 2)) | v90(constB111, 2))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35233,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB111, 2)) | v90(constB111, 2)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35232, 35231])).
% 50.37/33.34 tff(35234,plain,
% 50.37/33.34 (~v88(constB111, 2)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35233, 26020, 35230])).
% 50.37/33.34 tff(35235,plain,
% 50.37/33.34 (~v130(constB109, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13889, 2156, 35224, 35223, 35222, 35221, 35220, 35219])).
% 50.37/33.34 tff(35236,plain,
% 50.37/33.34 (~v127(constB109, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13897, 35235])).
% 50.37/33.34 tff(35237,plain,
% 50.37/33.34 (~v129(constB110, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13902, 35236])).
% 50.37/33.34 tff(35238,plain,
% 50.37/33.34 ((~v90(constB110, 1)) | (~v100(constB110))),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13909, 453, 35237])).
% 50.37/33.34 tff(35239,plain,
% 50.37/33.34 (~v90(constB110, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35238, 35218])).
% 50.37/33.34 tff(35240,plain,
% 50.37/33.34 (~v90(constB111, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13919, 35239])).
% 50.37/33.34 tff(35241,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB111, 1)) | v90(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB111, 1)) | v90(constB111, 1))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35242,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB111, 1)) | v90(constB111, 1))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35243,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB111, 1)) | v90(constB111, 1)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35242, 35241])).
% 50.37/33.34 tff(35244,plain,
% 50.37/33.34 (~v88(constB111, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35243, 26697, 35240])).
% 50.37/33.34 tff(35245,plain,
% 50.37/33.34 (v130(constB109, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13858, 2200, 35224, 35223, 35222, 35221, 35220, 35219])).
% 50.37/33.34 tff(35246,plain,
% 50.37/33.34 (v127(constB109, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13863, 35245])).
% 50.37/33.34 tff(35247,plain,
% 50.37/33.34 (v129(constB110, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13868, 35246])).
% 50.37/33.34 tff(35248,plain,
% 50.37/33.34 (v90(constB110, 0) | (~v100(constB110))),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13875, 545, 35247])).
% 50.37/33.34 tff(35249,plain,
% 50.37/33.34 (v90(constB110, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35248, 35218])).
% 50.37/33.34 tff(35250,plain,
% 50.37/33.34 (v90(constB111, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[13885, 35249])).
% 50.37/33.34 tff(35251,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB111, 0)) | v88(constB111, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB111, 0)) | v88(constB111, 0))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35252,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB111, 0)) | v88(constB111, 0))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35253,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB111, 0)) | v88(constB111, 0)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35252, 35251])).
% 50.37/33.34 tff(35254,plain,
% 50.37/33.34 (v88(constB111, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35253, 26254, 35250])).
% 50.37/33.34 tff(35255,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB111, 1) | (~v88(constB111, 0)) | v88(constB111, 2) | v140(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB111, 1) | (~v88(constB111, 0)) | v88(constB111, 2) | v140(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35256,plain,
% 50.37/33.34 ((v88(constB111, 2) | v88(constB111, 1) | (~v88(constB111, 0)) | v140(constB111)) <=> (v88(constB111, 1) | (~v88(constB111, 0)) | v88(constB111, 2) | v140(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35257,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB111, 2) | v88(constB111, 1) | (~v88(constB111, 0)) | v140(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB111, 1) | (~v88(constB111, 0)) | v88(constB111, 2) | v140(constB111)))),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35256])).
% 50.37/33.34 tff(35258,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB111, 2) | v88(constB111, 1) | (~v88(constB111, 0)) | v140(constB111))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB111, 1) | (~v88(constB111, 0)) | v88(constB111, 2) | v140(constB111))),
% 50.37/33.34 inference(transitivity,[status(thm)],[35257, 35255])).
% 50.37/33.34 tff(35259,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB111, 2) | v88(constB111, 1) | (~v88(constB111, 0)) | v140(constB111))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35260,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB111, 1) | (~v88(constB111, 0)) | v88(constB111, 2) | v140(constB111)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35259, 35258])).
% 50.37/33.34 tff(35261,plain,
% 50.37/33.34 (v140(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35260, 26719, 35254, 35244, 35234])).
% 50.37/33.34 tff(35262,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB111)) | v200(constB111))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB111)) | v200(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35263,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB111)) | v200(constB111))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35264,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB111)) | v200(constB111)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35263, 35262])).
% 50.37/33.34 tff(35265,plain,
% 50.37/33.34 (v200(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35264, 26731, 35261])).
% 50.37/33.34 tff(35266,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB111)) | v199(constB111))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB111)) | v199(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35267,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB111)) | v199(constB111))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35268,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB111)) | v199(constB111)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35267, 35266])).
% 50.37/33.34 tff(35269,plain,
% 50.37/33.34 (v199(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35268, 26742, 35265])).
% 50.37/33.34 tff(35270,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB111)) | v198(constB111))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB111)) | v198(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35271,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB111)) | v198(constB111))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35272,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB111)) | v198(constB111)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35271, 35270])).
% 50.37/33.34 tff(35273,plain,
% 50.37/33.34 (v198(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35272, 26293, 35269])).
% 50.37/33.34 tff(35274,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB111)) | (~v201(constB111)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB111)) | (~v201(constB111)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35275,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB111)) | (~v201(constB111)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35276,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB111)) | (~v201(constB111))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35275, 35274])).
% 50.37/33.34 tff(35277,plain,
% 50.37/33.34 (~v201(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35276, 15064, 35273])).
% 50.37/33.34 tff(35278,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB111) | (~v198(constB111)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB111) | (~v198(constB111)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35279,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB111) | (~v198(constB111)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35280,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB111) | (~v198(constB111))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35279, 35278])).
% 50.37/33.34 tff(35281,plain,
% 50.37/33.34 (v197(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35280, 15078, 35273])).
% 50.37/33.34 tff(35282,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB111) | (~v197(constB111)) | v201(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB111) | (~v197(constB111)) | v201(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35283,plain,
% 50.37/33.34 (((~v197(constB111)) | v201(constB111) | v227(constB111)) <=> (v227(constB111) | (~v197(constB111)) | v201(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35284,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB111)) | v201(constB111) | v227(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB111) | (~v197(constB111)) | v201(constB111)))),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35283])).
% 50.37/33.34 tff(35285,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB111)) | v201(constB111) | v227(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB111) | (~v197(constB111)) | v201(constB111))),
% 50.37/33.34 inference(transitivity,[status(thm)],[35284, 35282])).
% 50.37/33.34 tff(35286,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB111)) | v201(constB111) | v227(constB111))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35287,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB111) | (~v197(constB111)) | v201(constB111)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35286, 35285])).
% 50.37/33.34 tff(35288,plain,
% 50.37/33.34 (v227(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35287, 15092, 35281, 35277])).
% 50.37/33.34 tff(35289,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB111)) | (~v223(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB111)) | (~v223(constB111, 0)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35290,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB111)) | (~v223(constB111, 0)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35291,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB111)) | (~v223(constB111, 0))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35290, 35289])).
% 50.37/33.34 tff(35292,plain,
% 50.37/33.34 (~v223(constB111, 0)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35291, 15109, 35288])).
% 50.37/33.34 tff(35293,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB111)) | (~v199(constB111)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB111)) | (~v199(constB111)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35294,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB111)) | (~v199(constB111)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35295,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB111)) | (~v199(constB111))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35294, 35293])).
% 50.37/33.34 tff(35296,plain,
% 50.37/33.34 (~v183(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35295, 26326, 35269])).
% 50.37/33.34 tff(35297,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB111) | (~v197(constB111)) | v183(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB111) | (~v197(constB111)) | v183(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35298,plain,
% 50.37/33.34 (((~v197(constB111)) | v183(constB111) | v228(constB111)) <=> (v228(constB111) | (~v197(constB111)) | v183(constB111))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35299,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB111)) | v183(constB111) | v228(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB111) | (~v197(constB111)) | v183(constB111)))),
% 50.37/33.34 inference(monotonicity,[status(thm)],[35298])).
% 50.37/33.34 tff(35300,plain,
% 50.37/33.34 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB111)) | v183(constB111) | v228(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB111) | (~v197(constB111)) | v183(constB111))),
% 50.37/33.34 inference(transitivity,[status(thm)],[35299, 35297])).
% 50.37/33.34 tff(35301,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB111)) | v183(constB111) | v228(constB111))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35302,plain,
% 50.37/33.34 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB111) | (~v197(constB111)) | v183(constB111)),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35301, 35300])).
% 50.37/33.34 tff(35303,plain,
% 50.37/33.34 (v228(constB111)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35302, 26340, 35281, 35296])).
% 50.37/33.34 tff(35304,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB111)) | (~v223(constB111, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB111)) | (~v223(constB111, 1)))),
% 50.37/33.34 inference(rewrite,[status(thm)],[])).
% 50.37/33.34 tff(35305,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB111)) | (~v223(constB111, 1)))),
% 50.37/33.34 inference(quant_inst,[status(thm)],[])).
% 50.37/33.34 tff(35306,plain,
% 50.37/33.34 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB111)) | (~v223(constB111, 1))),
% 50.37/33.34 inference(modus_ponens,[status(thm)],[35305, 35304])).
% 50.37/33.34 tff(35307,plain,
% 50.37/33.34 (~v223(constB111, 1)),
% 50.37/33.34 inference(unit_resolution,[status(thm)],[35306, 26357, 35303])).
% 50.37/33.34 tff(35308,plain,
% 50.37/33.34 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB111, 1) | v223(constB111, 0) | (~v229(constB111)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB111, 1) | v223(constB111, 0) | (~v229(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35309,plain,
% 50.42/33.35 ((v223(constB111, 0) | v223(constB111, 1) | (~v229(constB111))) <=> (v223(constB111, 1) | v223(constB111, 0) | (~v229(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35310,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB111, 0) | v223(constB111, 1) | (~v229(constB111)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB111, 1) | v223(constB111, 0) | (~v229(constB111))))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35309])).
% 50.42/33.35 tff(35311,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB111, 0) | v223(constB111, 1) | (~v229(constB111)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB111, 1) | v223(constB111, 0) | (~v229(constB111)))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35310, 35308])).
% 50.42/33.35 tff(35312,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB111, 0) | v223(constB111, 1) | (~v229(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35313,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB111, 1) | v223(constB111, 0) | (~v229(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35312, 35311])).
% 50.42/33.35 tff(35314,plain,
% 50.42/33.35 (~v229(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35313, 26371, 35307, 35292])).
% 50.42/33.35 tff(35315,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB111) | (~v225(constB111)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB111) | (~v225(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35316,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB111) | (~v225(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35317,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB111) | (~v225(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35316, 35315])).
% 50.42/33.35 tff(35318,plain,
% 50.42/33.35 (~v225(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35317, 26388, 35314])).
% 50.42/33.35 tff(35319,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB111)) | (~v200(constB111)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB111)) | (~v200(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35320,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB111)) | (~v200(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35321,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB111)) | (~v200(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35320, 35319])).
% 50.42/33.35 tff(35322,plain,
% 50.42/33.35 (~v166(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35321, 26805, 35265])).
% 50.42/33.35 tff(35323,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB111) | v166(constB111) | (~v197(constB111)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB111) | v166(constB111) | (~v197(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35324,plain,
% 50.42/33.35 (((~v197(constB111)) | v166(constB111) | v241(constB111)) <=> (v241(constB111) | v166(constB111) | (~v197(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35325,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB111)) | v166(constB111) | v241(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB111) | v166(constB111) | (~v197(constB111))))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35324])).
% 50.42/33.35 tff(35326,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB111)) | v166(constB111) | v241(constB111))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB111) | v166(constB111) | (~v197(constB111)))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35325, 35323])).
% 50.42/33.35 tff(35327,plain,
% 50.42/33.35 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB111)) | v166(constB111) | v241(constB111))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35328,plain,
% 50.42/33.35 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB111) | v166(constB111) | (~v197(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35327, 35326])).
% 50.42/33.35 tff(35329,plain,
% 50.42/33.35 (v241(constB111) | (~v197(constB111))),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35328, 15198, 35322])).
% 50.42/33.35 tff(35330,plain,
% 50.42/33.35 (v241(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35329, 35281])).
% 50.42/33.35 tff(35331,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB111)) | (~v223(constB111, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB111)) | (~v223(constB111, 2)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35332,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB111)) | (~v223(constB111, 2)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35333,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB111)) | (~v223(constB111, 2))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35332, 35331])).
% 50.42/33.35 tff(35334,plain,
% 50.42/33.35 (~v223(constB111, 2)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35333, 15216, 35330])).
% 50.42/33.35 tff(35335,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB111, 2) | v225(constB111) | (~v242(constB111)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB111, 2) | v225(constB111) | (~v242(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35336,plain,
% 50.42/33.35 ((v225(constB111) | v223(constB111, 2) | (~v242(constB111))) <=> (v223(constB111, 2) | v225(constB111) | (~v242(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35337,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB111) | v223(constB111, 2) | (~v242(constB111)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB111, 2) | v225(constB111) | (~v242(constB111))))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35336])).
% 50.42/33.35 tff(35338,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB111) | v223(constB111, 2) | (~v242(constB111)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB111, 2) | v225(constB111) | (~v242(constB111)))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35337, 35335])).
% 50.42/33.35 tff(35339,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB111) | v223(constB111, 2) | (~v242(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35340,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB111, 2) | v225(constB111) | (~v242(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35339, 35338])).
% 50.42/33.35 tff(35341,plain,
% 50.42/33.35 (v225(constB111) | (~v242(constB111))),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35340, 26831, 35334])).
% 50.42/33.35 tff(35342,plain,
% 50.42/33.35 (~v242(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35341, 35318])).
% 50.42/33.35 tff(35343,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB111) | (~v238(constB111)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB111) | (~v238(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35344,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB111) | (~v238(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35345,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB111) | (~v238(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35344, 35343])).
% 50.42/33.35 tff(35346,plain,
% 50.42/33.35 (~v238(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35345, 26846, 35342])).
% 50.42/33.35 tff(35347,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB111) | (~v237(constB111)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB111) | (~v237(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35348,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB111) | (~v237(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35349,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB111) | (~v237(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35348, 35347])).
% 50.42/33.35 tff(35350,plain,
% 50.42/33.35 (~v237(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35349, 26860, 35346])).
% 50.42/33.35 tff(35351,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB111)) | v223(constB111, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB111)) | v223(constB111, 2))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35352,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB111)) | v223(constB111, 2))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35353,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB111)) | v223(constB111, 2)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35352, 35351])).
% 50.42/33.35 tff(35354,plain,
% 50.42/33.35 (~v224(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35353, 15227, 35334])).
% 50.42/33.35 tff(35355,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB111)) | v223(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB111)) | v223(constB111, 1))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35356,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB111)) | v223(constB111, 1))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35357,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB111)) | v223(constB111, 1)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35356, 35355])).
% 50.42/33.35 tff(35358,plain,
% 50.42/33.35 (~v222(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35357, 26413, 35307])).
% 50.42/33.35 tff(35359,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB111) | v224(constB111) | (~v236(constB111)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB111) | v224(constB111) | (~v236(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35360,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB111) | v224(constB111) | (~v236(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35361,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB111) | v224(constB111) | (~v236(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35360, 35359])).
% 50.42/33.35 tff(35362,plain,
% 50.42/33.35 (~v236(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35361, 15241, 35358, 35354])).
% 50.42/33.35 tff(35363,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB111) | (~v232(constB111)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB111) | (~v232(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35364,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB111) | (~v232(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35365,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB111) | (~v232(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35364, 35363])).
% 50.42/33.35 tff(35366,plain,
% 50.42/33.35 (~v232(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35365, 15255, 35362])).
% 50.42/33.35 tff(35367,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB111) | v237(constB111) | (~v248(constB111)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB111) | v237(constB111) | (~v248(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35368,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB111) | v237(constB111) | (~v248(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35369,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB111) | v237(constB111) | (~v248(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35368, 35367])).
% 50.42/33.35 tff(35370,plain,
% 50.42/33.35 (v237(constB111) | (~v248(constB111))),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35369, 15323, 35366])).
% 50.42/33.35 tff(35371,plain,
% 50.42/33.35 (~v248(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35370, 35350])).
% 50.42/33.35 tff(35372,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB111) | (~v244(constB111)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB111) | (~v244(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35373,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB111) | (~v244(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35374,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB111) | (~v244(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35373, 35372])).
% 50.42/33.35 tff(35375,plain,
% 50.42/33.35 (~v244(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35374, 15338, 35371])).
% 50.42/33.35 tff(35376,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB111) | (~v216(constB111, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB111) | (~v216(constB111, 1)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35377,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB111) | (~v216(constB111, 1)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35378,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB111) | (~v216(constB111, 1))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35377, 35376])).
% 50.42/33.35 tff(35379,plain,
% 50.42/33.35 (~v216(constB111, 1)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35378, 15352, 35375])).
% 50.42/33.35 tff(35380,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB111)) | v216(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB111)) | v216(constB111, 1))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35381,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB111)) | v216(constB111, 1))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35382,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB111)) | v216(constB111, 1)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35381, 35380])).
% 50.42/33.35 tff(35383,plain,
% 50.42/33.35 (~v254(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35382, 15363, 35379])).
% 50.42/33.35 tff(35384,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB111) | (~v231(constB111)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB111) | (~v231(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35385,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB111) | (~v231(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35386,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB111) | (~v231(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35385, 35384])).
% 50.42/33.35 tff(35387,plain,
% 50.42/33.35 (~v231(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35386, 26907, 35366])).
% 50.42/33.35 tff(35388,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB111) | (~v221(constB111)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB111) | (~v221(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35389,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB111) | (~v221(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35390,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB111) | (~v221(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35389, 35388])).
% 50.42/33.35 tff(35391,plain,
% 50.42/33.35 (~v221(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35390, 26489, 35358])).
% 50.42/33.35 tff(35392,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB111) | v231(constB111) | (~v243(constB111)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB111) | v231(constB111) | (~v243(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35393,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB111) | v231(constB111) | (~v243(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35394,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB111) | v231(constB111) | (~v243(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35393, 35392])).
% 50.42/33.35 tff(35395,plain,
% 50.42/33.35 (v231(constB111) | (~v243(constB111))),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35394, 15405, 35391])).
% 50.42/33.35 tff(35396,plain,
% 50.42/33.35 (~v243(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35395, 35387])).
% 50.42/33.35 tff(35397,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB111) | v255(constB111))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB111) | v255(constB111))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35398,plain,
% 50.42/33.35 ((v255(constB111) | v243(constB111)) <=> (v243(constB111) | v255(constB111))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35399,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB111) | v243(constB111))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB111) | v255(constB111)))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35398])).
% 50.42/33.35 tff(35400,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB111) | v243(constB111))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB111) | v255(constB111))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35399, 35397])).
% 50.42/33.35 tff(35401,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB111) | v243(constB111))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35402,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB111) | v255(constB111)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35401, 35400])).
% 50.42/33.35 tff(35403,plain,
% 50.42/33.35 (v255(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35402, 15416, 35396])).
% 50.42/33.35 tff(35404,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB111)) | (~v216(constB111, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB111)) | (~v216(constB111, 2)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35405,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB111)) | (~v216(constB111, 2)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35406,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB111)) | (~v216(constB111, 2))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35405, 35404])).
% 50.42/33.35 tff(35407,plain,
% 50.42/33.35 (~v216(constB111, 2)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35406, 15433, 35403])).
% 50.42/33.35 tff(35408,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB111, 2) | v254(constB111) | (~v215(constB111)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB111, 2) | v254(constB111) | (~v215(constB111)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35409,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB111, 2) | v254(constB111) | (~v215(constB111)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35410,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB111, 2) | v254(constB111) | (~v215(constB111))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35409, 35408])).
% 50.42/33.35 tff(35411,plain,
% 50.42/33.35 (v254(constB111) | (~v215(constB111))),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35410, 15447, 35407])).
% 50.42/33.35 tff(35412,plain,
% 50.42/33.35 (~v215(constB111)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35411, 35383])).
% 50.42/33.35 tff(35413,plain,
% 50.42/33.35 ($false),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35412, 35212])).
% 50.42/33.35 tff(35414,plain,(~(constB111 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.35 tff(35415,assumption,(constB89 = sK_VarCurr), introduced(assumption)).
% 50.42/33.35 tff(35416,plain,
% 50.42/33.35 (v215(constB89) <=> v215(sK_VarCurr)),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35415])).
% 50.42/33.35 tff(35417,plain,
% 50.42/33.35 (v215(sK_VarCurr) <=> v215(constB89)),
% 50.42/33.35 inference(symmetry,[status(thm)],[35416])).
% 50.42/33.35 tff(35418,plain,
% 50.42/33.35 (v215(constB89)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[34, 35417])).
% 50.42/33.35 tff(35419,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB89, 2)) | v90(constB89, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB89, 2)) | v90(constB89, 2))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35420,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB89, 2)) | v90(constB89, 2))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35421,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB89, 2)) | v90(constB89, 2)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35420, 35419])).
% 50.42/33.35 tff(35422,plain,
% 50.42/33.35 (~v88(constB89, 2)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35421, 26020, 25730])).
% 50.42/33.35 tff(35423,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB89, 0)) | v90(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB89, 0)) | v90(constB89, 0))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35424,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB89, 0)) | v90(constB89, 0))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35425,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB89, 0)) | v90(constB89, 0)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35424, 35423])).
% 50.42/33.35 tff(35426,plain,
% 50.42/33.35 (~v88(constB89, 0)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35425, 14930, 25742])).
% 50.42/33.35 tff(35427,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB89, 1)) | v88(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB89, 1)) | v88(constB89, 1))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35428,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB89, 1)) | v88(constB89, 1))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35429,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB89, 1)) | v88(constB89, 1)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35428, 35427])).
% 50.42/33.35 tff(35430,plain,
% 50.42/33.35 (v88(constB89, 1)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35429, 15014, 25736])).
% 50.42/33.35 tff(35431,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)) | v143(constB89))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35432,plain,
% 50.42/33.35 ((v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89)) <=> (v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)) | v143(constB89))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35433,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)) | v143(constB89)))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35432])).
% 50.42/33.35 tff(35434,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)) | v143(constB89))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35433, 35431])).
% 50.42/33.35 tff(35435,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35436,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB89, 0) | v88(constB89, 2) | (~v88(constB89, 1)) | v143(constB89)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 50.42/33.35 tff(35437,plain,
% 50.42/33.35 (v143(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35436, 26042, 35430, 35426, 35422])).
% 50.42/33.35 tff(35438,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB89)) | v142(constB89))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35439,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35440,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB89)) | v142(constB89)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35439, 35438])).
% 50.42/33.35 tff(35441,plain,
% 50.42/33.35 (v142(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35440, 26056, 35437])).
% 50.42/33.35 tff(35442,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB89)) | v198(constB89))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB89)) | v198(constB89))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35443,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB89)) | v198(constB89))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35444,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB89)) | v198(constB89)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35443, 35442])).
% 50.42/33.35 tff(35445,plain,
% 50.42/33.35 (v198(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35444, 15053, 35441])).
% 50.42/33.35 tff(35446,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB89)) | (~v201(constB89)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB89)) | (~v201(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35447,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB89)) | (~v201(constB89)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35448,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB89)) | (~v201(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35447, 35446])).
% 50.42/33.35 tff(35449,plain,
% 50.42/33.35 (~v201(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35448, 15064, 35445])).
% 50.42/33.35 tff(35450,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB89) | (~v198(constB89)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB89) | (~v198(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35451,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB89) | (~v198(constB89)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35452,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB89) | (~v198(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35451, 35450])).
% 50.42/33.35 tff(35453,plain,
% 50.42/33.35 (v197(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35452, 15078, 35445])).
% 50.42/33.35 tff(35454,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB89) | (~v197(constB89)) | v201(constB89))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB89) | (~v197(constB89)) | v201(constB89))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35455,plain,
% 50.42/33.35 (((~v197(constB89)) | v201(constB89) | v227(constB89)) <=> (v227(constB89) | (~v197(constB89)) | v201(constB89))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35456,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB89)) | v201(constB89) | v227(constB89))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB89) | (~v197(constB89)) | v201(constB89)))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35455])).
% 50.42/33.35 tff(35457,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB89)) | v201(constB89) | v227(constB89))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB89) | (~v197(constB89)) | v201(constB89))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35456, 35454])).
% 50.42/33.35 tff(35458,plain,
% 50.42/33.35 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB89)) | v201(constB89) | v227(constB89))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35459,plain,
% 50.42/33.35 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB89) | (~v197(constB89)) | v201(constB89)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35458, 35457])).
% 50.42/33.35 tff(35460,plain,
% 50.42/33.35 (v227(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35459, 15092, 35453, 35449])).
% 50.42/33.35 tff(35461,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB89)) | (~v223(constB89, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB89)) | (~v223(constB89, 0)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35462,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB89)) | (~v223(constB89, 0)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35463,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB89)) | (~v223(constB89, 0))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35462, 35461])).
% 50.42/33.35 tff(35464,plain,
% 50.42/33.35 (~v223(constB89, 0)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35463, 15109, 35460])).
% 50.42/33.35 tff(35465,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB89)) | v223(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB89)) | v223(constB89, 0))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35466,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB89)) | v223(constB89, 0))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35467,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB89)) | v223(constB89, 0)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35466, 35465])).
% 50.42/33.35 tff(35468,plain,
% 50.42/33.35 (~v222(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35467, 15120, 35464])).
% 50.42/33.35 tff(35469,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB89)) | (~v88(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB89)) | (~v88(constB89, 1)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35470,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB89)) | (~v88(constB89, 1)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35471,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB89)) | (~v88(constB89, 1))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35470, 35469])).
% 50.42/33.35 tff(35472,plain,
% 50.42/33.35 (~v139(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35471, 15131, 35430])).
% 50.42/33.35 tff(35473,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB89)) | (~v88(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB89)) | (~v88(constB89, 1)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35474,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB89)) | (~v88(constB89, 1)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35475,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB89)) | (~v88(constB89, 1))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35474, 35473])).
% 50.42/33.35 tff(35476,plain,
% 50.42/33.35 (~v140(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35475, 15142, 35430])).
% 50.42/33.35 tff(35477,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v200(constB89)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB89) | v140(constB89) | (~v200(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35478,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v200(constB89)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35479,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB89) | v140(constB89) | (~v200(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35478, 35477])).
% 50.42/33.35 tff(35480,plain,
% 50.42/33.35 (~v200(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35479, 15156, 35476, 35472])).
% 50.42/33.35 tff(35481,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB89)) | v88(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB89)) | v88(constB89, 0))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35482,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB89)) | v88(constB89, 0))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35483,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB89)) | v88(constB89, 0)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35482, 35481])).
% 50.42/33.35 tff(35484,plain,
% 50.42/33.35 (~v141(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35483, 26106, 35426])).
% 50.42/33.35 tff(35485,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB89) | v200(constB89) | (~v166(constB89)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB89) | v200(constB89) | (~v166(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35486,plain,
% 50.42/33.35 ((v141(constB89) | (~v166(constB89)) | v200(constB89)) <=> (v141(constB89) | v200(constB89) | (~v166(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35487,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB89) | (~v166(constB89)) | v200(constB89))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB89) | v200(constB89) | (~v166(constB89))))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35486])).
% 50.42/33.35 tff(35488,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB89) | (~v166(constB89)) | v200(constB89))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB89) | v200(constB89) | (~v166(constB89)))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35487, 35485])).
% 50.42/33.35 tff(35489,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB89) | (~v166(constB89)) | v200(constB89))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35490,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | v141(constB89) | v200(constB89) | (~v166(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35489, 35488])).
% 50.42/33.35 tff(35491,plain,
% 50.42/33.35 (~v166(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35490, 15181, 35484, 35480])).
% 50.42/33.35 tff(35492,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB89) | v166(constB89) | (~v197(constB89)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB89) | v166(constB89) | (~v197(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35493,plain,
% 50.42/33.35 (((~v197(constB89)) | v166(constB89) | v241(constB89)) <=> (v241(constB89) | v166(constB89) | (~v197(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35494,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB89)) | v166(constB89) | v241(constB89))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB89) | v166(constB89) | (~v197(constB89))))),
% 50.42/33.35 inference(monotonicity,[status(thm)],[35493])).
% 50.42/33.35 tff(35495,plain,
% 50.42/33.35 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB89)) | v166(constB89) | v241(constB89))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB89) | v166(constB89) | (~v197(constB89)))),
% 50.42/33.35 inference(transitivity,[status(thm)],[35494, 35492])).
% 50.42/33.35 tff(35496,plain,
% 50.42/33.35 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB89)) | v166(constB89) | v241(constB89))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35497,plain,
% 50.42/33.35 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB89) | v166(constB89) | (~v197(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35496, 35495])).
% 50.42/33.35 tff(35498,plain,
% 50.42/33.35 (v241(constB89) | (~v197(constB89))),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35497, 15198, 35491])).
% 50.42/33.35 tff(35499,plain,
% 50.42/33.35 (v241(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35498, 35453])).
% 50.42/33.35 tff(35500,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB89)) | (~v223(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB89)) | (~v223(constB89, 2)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35501,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB89)) | (~v223(constB89, 2)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35502,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB89)) | (~v223(constB89, 2))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35501, 35500])).
% 50.42/33.35 tff(35503,plain,
% 50.42/33.35 (~v223(constB89, 2)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35502, 15216, 35499])).
% 50.42/33.35 tff(35504,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB89)) | v223(constB89, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB89)) | v223(constB89, 2))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35505,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB89)) | v223(constB89, 2))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35506,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB89)) | v223(constB89, 2)),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35505, 35504])).
% 50.42/33.35 tff(35507,plain,
% 50.42/33.35 (~v224(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35506, 15227, 35503])).
% 50.42/33.35 tff(35508,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB89) | v224(constB89) | (~v236(constB89)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB89) | v224(constB89) | (~v236(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35509,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB89) | v224(constB89) | (~v236(constB89)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35510,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB89) | v224(constB89) | (~v236(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35509, 35508])).
% 50.42/33.35 tff(35511,plain,
% 50.42/33.35 (~v236(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35510, 15241, 35507, 35468])).
% 50.42/33.35 tff(35512,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB89) | (~v232(constB89)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB89) | (~v232(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35513,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB89) | (~v232(constB89)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35514,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB89) | (~v232(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35513, 35512])).
% 50.42/33.35 tff(35515,plain,
% 50.42/33.35 (~v232(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35514, 15255, 35511])).
% 50.42/33.35 tff(35516,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v148(constB89)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB89) | v140(constB89) | (~v148(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35517,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v148(constB89)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35518,plain,
% 50.42/33.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB89) | v140(constB89) | (~v148(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35517, 35516])).
% 50.42/33.35 tff(35519,plain,
% 50.42/33.35 (~v148(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35518, 15269, 35476, 35472])).
% 50.42/33.35 tff(35520,plain,
% 50.42/33.35 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB89) | v252(constB89) | (~v197(constB89)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB89) | v252(constB89) | (~v197(constB89)))),
% 50.42/33.35 inference(rewrite,[status(thm)],[])).
% 50.42/33.35 tff(35521,plain,
% 50.42/33.35 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB89) | v252(constB89) | (~v197(constB89)))),
% 50.42/33.35 inference(quant_inst,[status(thm)],[])).
% 50.42/33.35 tff(35522,plain,
% 50.42/33.35 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB89) | v252(constB89) | (~v197(constB89))),
% 50.42/33.35 inference(modus_ponens,[status(thm)],[35521, 35520])).
% 50.42/33.35 tff(35523,plain,
% 50.42/33.35 (v252(constB89) | (~v197(constB89))),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35522, 15283, 35519])).
% 50.42/33.35 tff(35524,plain,
% 50.42/33.35 (v252(constB89)),
% 50.42/33.35 inference(unit_resolution,[status(thm)],[35523, 35453])).
% 50.42/33.35 tff(35525,plain,
% 50.42/33.35 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB89)) | (~v223(constB89, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB89)) | (~v223(constB89, 3)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35526,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB89)) | (~v223(constB89, 3)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35527,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB89)) | (~v223(constB89, 3))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35526, 35525])).
% 50.42/33.36 tff(35528,plain,
% 50.42/33.36 (~v223(constB89, 3)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35527, 15298, 35524])).
% 50.42/33.36 tff(35529,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB89)) | v223(constB89, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB89)) | v223(constB89, 3))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35530,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB89)) | v223(constB89, 3))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35531,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB89)) | v223(constB89, 3)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35530, 35529])).
% 50.42/33.36 tff(35532,plain,
% 50.42/33.36 (~v237(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35531, 15309, 35528])).
% 50.42/33.36 tff(35533,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB89) | v237(constB89) | (~v248(constB89)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB89) | v237(constB89) | (~v248(constB89)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35534,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB89) | v237(constB89) | (~v248(constB89)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35535,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB89) | v237(constB89) | (~v248(constB89))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 50.42/33.36 tff(35536,plain,
% 50.42/33.36 (v232(constB89) | (~v248(constB89))),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35535, 15323, 35532])).
% 50.42/33.36 tff(35537,plain,
% 50.42/33.36 (~v248(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35536, 35515])).
% 50.42/33.36 tff(35538,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB89) | (~v244(constB89)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB89) | (~v244(constB89)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35539,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB89) | (~v244(constB89)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35540,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB89) | (~v244(constB89))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35539, 35538])).
% 50.42/33.36 tff(35541,plain,
% 50.42/33.36 (~v244(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35540, 15338, 35537])).
% 50.42/33.36 tff(35542,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB89) | (~v216(constB89, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB89) | (~v216(constB89, 1)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35543,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB89) | (~v216(constB89, 1)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35544,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB89) | (~v216(constB89, 1))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35543, 35542])).
% 50.42/33.36 tff(35545,plain,
% 50.42/33.36 (~v216(constB89, 1)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35544, 15352, 35541])).
% 50.42/33.36 tff(35546,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB89)) | v216(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB89)) | v216(constB89, 1))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35547,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB89)) | v216(constB89, 1))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35548,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB89)) | v216(constB89, 1)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35547, 35546])).
% 50.42/33.36 tff(35549,plain,
% 50.42/33.36 (~v254(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35548, 15363, 35545])).
% 50.42/33.36 tff(35550,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB89) | (~v221(constB89)))) <=> ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB89) | (~v221(constB89)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35551,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB89) | (~v221(constB89)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35552,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB89) | (~v221(constB89))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35551, 35550])).
% 50.42/33.36 tff(35553,plain,
% 50.42/33.36 (~v221(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35552, 15377, 35507])).
% 50.42/33.36 tff(35554,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB89) | (~v231(constB89)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB89) | (~v231(constB89)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35555,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB89) | (~v231(constB89)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35556,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB89) | (~v231(constB89))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35555, 35554])).
% 50.42/33.36 tff(35557,plain,
% 50.42/33.36 (~v231(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35556, 15391, 35532])).
% 50.42/33.36 tff(35558,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB89) | v231(constB89) | (~v243(constB89)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB89) | v231(constB89) | (~v243(constB89)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35559,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB89) | v231(constB89) | (~v243(constB89)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35560,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB89) | v231(constB89) | (~v243(constB89))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35559, 35558])).
% 50.42/33.36 tff(35561,plain,
% 50.42/33.36 (~v243(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35560, 15405, 35557, 35553])).
% 50.42/33.36 tff(35562,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB89) | v255(constB89))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB89) | v255(constB89))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35563,plain,
% 50.42/33.36 ((v255(constB89) | v243(constB89)) <=> (v243(constB89) | v255(constB89))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35564,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB89) | v243(constB89))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB89) | v255(constB89)))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35563])).
% 50.42/33.36 tff(35565,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB89) | v243(constB89))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB89) | v255(constB89))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35564, 35562])).
% 50.42/33.36 tff(35566,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB89) | v243(constB89))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35567,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB89) | v255(constB89)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35566, 35565])).
% 50.42/33.36 tff(35568,plain,
% 50.42/33.36 (v255(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35567, 15416, 35561])).
% 50.42/33.36 tff(35569,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB89)) | (~v216(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB89)) | (~v216(constB89, 2)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35570,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB89)) | (~v216(constB89, 2)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35571,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB89)) | (~v216(constB89, 2))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35570, 35569])).
% 50.42/33.36 tff(35572,plain,
% 50.42/33.36 (~v216(constB89, 2)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35571, 15433, 35568])).
% 50.42/33.36 tff(35573,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB89, 2) | (~v215(constB89)) | v254(constB89))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB89, 2) | (~v215(constB89)) | v254(constB89))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35574,plain,
% 50.42/33.36 ((v216(constB89, 2) | v254(constB89) | (~v215(constB89))) <=> (v216(constB89, 2) | (~v215(constB89)) | v254(constB89))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35575,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB89, 2) | v254(constB89) | (~v215(constB89)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB89, 2) | (~v215(constB89)) | v254(constB89)))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35574])).
% 50.42/33.36 tff(35576,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB89, 2) | v254(constB89) | (~v215(constB89)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB89, 2) | (~v215(constB89)) | v254(constB89))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35575, 35573])).
% 50.42/33.36 tff(35577,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB89, 2) | v254(constB89) | (~v215(constB89)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35578,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB89, 2) | (~v215(constB89)) | v254(constB89)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35577, 35576])).
% 50.42/33.36 tff(35579,plain,
% 50.42/33.36 ((~v215(constB89)) | v254(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35578, 15447, 35572])).
% 50.42/33.36 tff(35580,plain,
% 50.42/33.36 (~v215(constB89)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35579, 35549])).
% 50.42/33.36 tff(35581,plain,
% 50.42/33.36 ($false),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35580, 35418])).
% 50.42/33.36 tff(35582,plain,(~(constB89 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.36 tff(35583,assumption,(constB123 = sK_VarCurr), introduced(assumption)).
% 50.42/33.36 tff(35584,plain,
% 50.42/33.36 (v215(constB123) <=> v215(sK_VarCurr)),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35583])).
% 50.42/33.36 tff(35585,plain,
% 50.42/33.36 (v215(sK_VarCurr) <=> v215(constB123)),
% 50.42/33.36 inference(symmetry,[status(thm)],[35584])).
% 50.42/33.36 tff(35586,plain,
% 50.42/33.36 (v215(constB123)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[34, 35585])).
% 50.42/33.36 tff(35587,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB123, 2)) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB123, 2)) | v90(constB123, 2))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35588,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB123, 2)) | v90(constB123, 2))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35589,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB123, 2)) | v90(constB123, 2)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35588, 35587])).
% 50.42/33.36 tff(35590,plain,
% 50.42/33.36 (~v88(constB123, 2)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35589, 26020, 15595])).
% 50.42/33.36 tff(35591,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB123, 1)) | v90(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB123, 1)) | v90(constB123, 1))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35592,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB123, 1)) | v90(constB123, 1))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35593,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB123, 1)) | v90(constB123, 1)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35592, 35591])).
% 50.42/33.36 tff(35594,plain,
% 50.42/33.36 (~v88(constB123, 1)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35593, 26697, 15629])).
% 50.42/33.36 tff(35595,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB123, 0)) | v88(constB123, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB123, 0)) | v88(constB123, 0))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35596,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB123, 0)) | v88(constB123, 0))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35597,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB123, 0)) | v88(constB123, 0)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35596, 35595])).
% 50.42/33.36 tff(35598,plain,
% 50.42/33.36 (v88(constB123, 0)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35597, 26254, 15673])).
% 50.42/33.36 tff(35599,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 1) | v88(constB123, 2) | v140(constB123) | (~v88(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB123, 1) | v88(constB123, 2) | v140(constB123) | (~v88(constB123, 0)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35600,plain,
% 50.42/33.36 ((v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123)) <=> (v88(constB123, 1) | v88(constB123, 2) | v140(constB123) | (~v88(constB123, 0)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35601,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 1) | v88(constB123, 2) | v140(constB123) | (~v88(constB123, 0))))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35600])).
% 50.42/33.36 tff(35602,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB123, 1) | v88(constB123, 2) | v140(constB123) | (~v88(constB123, 0)))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35601, 35599])).
% 50.42/33.36 tff(35603,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35604,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB123, 1) | v88(constB123, 2) | v140(constB123) | (~v88(constB123, 0))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35603, 35602])).
% 50.42/33.36 tff(35605,plain,
% 50.42/33.36 (v140(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35604, 26719, 35598, 35594, 35590])).
% 50.42/33.36 tff(35606,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB123) | (~v140(constB123)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB123) | (~v140(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35607,plain,
% 50.42/33.36 (((~v140(constB123)) | v200(constB123)) <=> (v200(constB123) | (~v140(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35608,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB123)) | v200(constB123))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (v200(constB123) | (~v140(constB123))))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35607])).
% 50.42/33.36 tff(35609,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB123)) | v200(constB123))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB123) | (~v140(constB123)))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35608, 35606])).
% 50.42/33.36 tff(35610,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB123)) | v200(constB123))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35611,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | v200(constB123) | (~v140(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35610, 35609])).
% 50.42/33.36 tff(35612,plain,
% 50.42/33.36 (v200(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35611, 26731, 35605])).
% 50.42/33.36 tff(35613,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB123)) | v199(constB123))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB123)) | v199(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35614,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB123)) | v199(constB123))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35615,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (~v200(constB123)) | v199(constB123)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35614, 35613])).
% 50.42/33.36 tff(35616,plain,
% 50.42/33.36 (v199(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35615, 26742, 35612])).
% 50.42/33.36 tff(35617,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB123)) | v198(constB123))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB123)) | v198(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35618,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB123)) | v198(constB123))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35619,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB123)) | v198(constB123)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35618, 35617])).
% 50.42/33.36 tff(35620,plain,
% 50.42/33.36 (v198(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35619, 26293, 35616])).
% 50.42/33.36 tff(35621,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB123)) | (~v201(constB123)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB123)) | (~v201(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35622,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB123)) | (~v201(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35623,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB123)) | (~v201(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35622, 35621])).
% 50.42/33.36 tff(35624,plain,
% 50.42/33.36 (~v201(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35623, 15064, 35620])).
% 50.42/33.36 tff(35625,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB123) | (~v198(constB123)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB123) | (~v198(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35626,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB123) | (~v198(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35627,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB123) | (~v198(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35626, 35625])).
% 50.42/33.36 tff(35628,plain,
% 50.42/33.36 (v197(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35627, 15078, 35620])).
% 50.42/33.36 tff(35629,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB123) | (~v197(constB123)) | v201(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB123) | (~v197(constB123)) | v201(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35630,plain,
% 50.42/33.36 (((~v197(constB123)) | v201(constB123) | v227(constB123)) <=> (v227(constB123) | (~v197(constB123)) | v201(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35631,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB123)) | v201(constB123) | v227(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB123) | (~v197(constB123)) | v201(constB123)))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35630])).
% 50.42/33.36 tff(35632,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB123)) | v201(constB123) | v227(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB123) | (~v197(constB123)) | v201(constB123))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35631, 35629])).
% 50.42/33.36 tff(35633,plain,
% 50.42/33.36 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB123)) | v201(constB123) | v227(constB123))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35634,plain,
% 50.42/33.36 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB123) | (~v197(constB123)) | v201(constB123)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35633, 35632])).
% 50.42/33.36 tff(35635,plain,
% 50.42/33.36 (v227(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35634, 15092, 35628, 35624])).
% 50.42/33.36 tff(35636,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB123)) | (~v223(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB123)) | (~v223(constB123, 0)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35637,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB123)) | (~v223(constB123, 0)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35638,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB123)) | (~v223(constB123, 0))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35637, 35636])).
% 50.42/33.36 tff(35639,plain,
% 50.42/33.36 (~v223(constB123, 0)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35638, 15109, 35635])).
% 50.42/33.36 tff(35640,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB123)) | (~v199(constB123)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB123)) | (~v199(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35641,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB123)) | (~v199(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35642,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB123)) | (~v199(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35641, 35640])).
% 50.42/33.36 tff(35643,plain,
% 50.42/33.36 (~v183(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35642, 26326, 35616])).
% 50.42/33.36 tff(35644,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB123) | (~v197(constB123)) | v183(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB123) | (~v197(constB123)) | v183(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35645,plain,
% 50.42/33.36 (((~v197(constB123)) | v183(constB123) | v228(constB123)) <=> (v228(constB123) | (~v197(constB123)) | v183(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35646,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB123)) | v183(constB123) | v228(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB123) | (~v197(constB123)) | v183(constB123)))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35645])).
% 50.42/33.36 tff(35647,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB123)) | v183(constB123) | v228(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB123) | (~v197(constB123)) | v183(constB123))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35646, 35644])).
% 50.42/33.36 tff(35648,plain,
% 50.42/33.36 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB123)) | v183(constB123) | v228(constB123))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35649,plain,
% 50.42/33.36 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB123) | (~v197(constB123)) | v183(constB123)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35648, 35647])).
% 50.42/33.36 tff(35650,plain,
% 50.42/33.36 (v228(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35649, 26340, 35628, 35643])).
% 50.42/33.36 tff(35651,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB123)) | (~v223(constB123, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB123)) | (~v223(constB123, 1)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35652,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB123)) | (~v223(constB123, 1)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35653,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB123)) | (~v223(constB123, 1))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35652, 35651])).
% 50.42/33.36 tff(35654,plain,
% 50.42/33.36 (~v223(constB123, 1)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35653, 26357, 35650])).
% 50.42/33.36 tff(35655,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB123, 1) | v223(constB123, 0) | (~v229(constB123)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB123, 1) | v223(constB123, 0) | (~v229(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35656,plain,
% 50.42/33.36 ((v223(constB123, 0) | v223(constB123, 1) | (~v229(constB123))) <=> (v223(constB123, 1) | v223(constB123, 0) | (~v229(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35657,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB123, 0) | v223(constB123, 1) | (~v229(constB123)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB123, 1) | v223(constB123, 0) | (~v229(constB123))))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35656])).
% 50.42/33.36 tff(35658,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB123, 0) | v223(constB123, 1) | (~v229(constB123)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB123, 1) | v223(constB123, 0) | (~v229(constB123)))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35657, 35655])).
% 50.42/33.36 tff(35659,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB123, 0) | v223(constB123, 1) | (~v229(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35660,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB123, 1) | v223(constB123, 0) | (~v229(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35659, 35658])).
% 50.42/33.36 tff(35661,plain,
% 50.42/33.36 (~v229(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35660, 26371, 35654, 35639])).
% 50.42/33.36 tff(35662,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB123) | (~v225(constB123)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB123) | (~v225(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35663,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB123) | (~v225(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35664,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB123) | (~v225(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35663, 35662])).
% 50.42/33.36 tff(35665,plain,
% 50.42/33.36 (~v225(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35664, 26388, 35661])).
% 50.42/33.36 tff(35666,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB123)) | (~v200(constB123)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB123)) | (~v200(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35667,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB123)) | (~v200(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35668,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB123)) | (~v200(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35667, 35666])).
% 50.42/33.36 tff(35669,plain,
% 50.42/33.36 (~v166(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35668, 26805, 35612])).
% 50.42/33.36 tff(35670,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB123) | (~v197(constB123)) | v166(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB123) | (~v197(constB123)) | v166(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35671,plain,
% 50.42/33.36 (((~v197(constB123)) | v166(constB123) | v241(constB123)) <=> (v241(constB123) | (~v197(constB123)) | v166(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35672,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB123)) | v166(constB123) | v241(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB123) | (~v197(constB123)) | v166(constB123)))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35671])).
% 50.42/33.36 tff(35673,plain,
% 50.42/33.36 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB123)) | v166(constB123) | v241(constB123))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB123) | (~v197(constB123)) | v166(constB123))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35672, 35670])).
% 50.42/33.36 tff(35674,plain,
% 50.42/33.36 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB123)) | v166(constB123) | v241(constB123))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35675,plain,
% 50.42/33.36 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB123) | (~v197(constB123)) | v166(constB123)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35674, 35673])).
% 50.42/33.36 tff(35676,plain,
% 50.42/33.36 (v241(constB123) | (~v197(constB123))),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35675, 15198, 35669])).
% 50.42/33.36 tff(35677,plain,
% 50.42/33.36 (v241(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35676, 35628])).
% 50.42/33.36 tff(35678,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB123)) | (~v223(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB123)) | (~v223(constB123, 2)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35679,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB123)) | (~v223(constB123, 2)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35680,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB123)) | (~v223(constB123, 2))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35679, 35678])).
% 50.42/33.36 tff(35681,plain,
% 50.42/33.36 (~v223(constB123, 2)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35680, 15216, 35677])).
% 50.42/33.36 tff(35682,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB123, 2) | (~v242(constB123)) | v225(constB123))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB123, 2) | (~v242(constB123)) | v225(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35683,plain,
% 50.42/33.36 ((v225(constB123) | v223(constB123, 2) | (~v242(constB123))) <=> (v223(constB123, 2) | (~v242(constB123)) | v225(constB123))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35684,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB123) | v223(constB123, 2) | (~v242(constB123)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v223(constB123, 2) | (~v242(constB123)) | v225(constB123)))),
% 50.42/33.36 inference(monotonicity,[status(thm)],[35683])).
% 50.42/33.36 tff(35685,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB123) | v223(constB123, 2) | (~v242(constB123)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB123, 2) | (~v242(constB123)) | v225(constB123))),
% 50.42/33.36 inference(transitivity,[status(thm)],[35684, 35682])).
% 50.42/33.36 tff(35686,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB123) | v223(constB123, 2) | (~v242(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35687,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v223(constB123, 2) | (~v242(constB123)) | v225(constB123)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35686, 35685])).
% 50.42/33.36 tff(35688,plain,
% 50.42/33.36 ((~v242(constB123)) | v225(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35687, 26831, 35681])).
% 50.42/33.36 tff(35689,plain,
% 50.42/33.36 (~v242(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35688, 35665])).
% 50.42/33.36 tff(35690,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB123) | (~v238(constB123)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB123) | (~v238(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35691,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB123) | (~v238(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35692,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB123) | (~v238(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35691, 35690])).
% 50.42/33.36 tff(35693,plain,
% 50.42/33.36 (~v238(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35692, 26846, 35689])).
% 50.42/33.36 tff(35694,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB123) | (~v237(constB123)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB123) | (~v237(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35695,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB123) | (~v237(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35696,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB123) | (~v237(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35695, 35694])).
% 50.42/33.36 tff(35697,plain,
% 50.42/33.36 (~v237(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35696, 26860, 35693])).
% 50.42/33.36 tff(35698,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB123)) | v223(constB123, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB123)) | v223(constB123, 2))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35699,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB123)) | v223(constB123, 2))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35700,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB123)) | v223(constB123, 2)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35699, 35698])).
% 50.42/33.36 tff(35701,plain,
% 50.42/33.36 (~v224(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35700, 15227, 35681])).
% 50.42/33.36 tff(35702,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB123)) | v223(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB123)) | v223(constB123, 1))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35703,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB123)) | v223(constB123, 1))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35704,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB123)) | v223(constB123, 1)),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35703, 35702])).
% 50.42/33.36 tff(35705,plain,
% 50.42/33.36 (~v222(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35704, 26413, 35654])).
% 50.42/33.36 tff(35706,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB123) | v224(constB123) | (~v236(constB123)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB123) | v224(constB123) | (~v236(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35707,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB123) | v224(constB123) | (~v236(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35708,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB123) | v224(constB123) | (~v236(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35707, 35706])).
% 50.42/33.36 tff(35709,plain,
% 50.42/33.36 (~v236(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35708, 15241, 35705, 35701])).
% 50.42/33.36 tff(35710,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB123) | (~v232(constB123)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB123) | (~v232(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35711,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB123) | (~v232(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35712,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB123) | (~v232(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35711, 35710])).
% 50.42/33.36 tff(35713,plain,
% 50.42/33.36 (~v232(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35712, 15255, 35709])).
% 50.42/33.36 tff(35714,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB123) | v237(constB123) | (~v248(constB123)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB123) | v237(constB123) | (~v248(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35715,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB123) | v237(constB123) | (~v248(constB123)))),
% 50.42/33.36 inference(quant_inst,[status(thm)],[])).
% 50.42/33.36 tff(35716,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB123) | v237(constB123) | (~v248(constB123))),
% 50.42/33.36 inference(modus_ponens,[status(thm)],[35715, 35714])).
% 50.42/33.36 tff(35717,plain,
% 50.42/33.36 (v237(constB123) | (~v248(constB123))),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35716, 15323, 35713])).
% 50.42/33.36 tff(35718,plain,
% 50.42/33.36 (~v248(constB123)),
% 50.42/33.36 inference(unit_resolution,[status(thm)],[35717, 35697])).
% 50.42/33.36 tff(35719,plain,
% 50.42/33.36 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB123) | (~v244(constB123)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB123) | (~v244(constB123)))),
% 50.42/33.36 inference(rewrite,[status(thm)],[])).
% 50.42/33.36 tff(35720,plain,
% 50.42/33.36 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB123) | (~v244(constB123)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35721,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB123) | (~v244(constB123))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35720, 35719])).
% 50.42/33.37 tff(35722,plain,
% 50.42/33.37 (~v244(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35721, 15338, 35718])).
% 50.42/33.37 tff(35723,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB123) | (~v216(constB123, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB123) | (~v216(constB123, 1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35724,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB123) | (~v216(constB123, 1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35725,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB123) | (~v216(constB123, 1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35724, 35723])).
% 50.42/33.37 tff(35726,plain,
% 50.42/33.37 (~v216(constB123, 1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35725, 15352, 35722])).
% 50.42/33.37 tff(35727,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB123)) | v216(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB123)) | v216(constB123, 1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35728,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB123)) | v216(constB123, 1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35729,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB123)) | v216(constB123, 1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35728, 35727])).
% 50.42/33.37 tff(35730,plain,
% 50.42/33.37 (~v254(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35729, 15363, 35726])).
% 50.42/33.37 tff(35731,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB123) | (~v231(constB123)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB123) | (~v231(constB123)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35732,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB123) | (~v231(constB123)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35733,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB123) | (~v231(constB123))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35732, 35731])).
% 50.42/33.37 tff(35734,plain,
% 50.42/33.37 (~v231(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35733, 26907, 35713])).
% 50.42/33.37 tff(35735,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB123) | (~v221(constB123)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB123) | (~v221(constB123)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35736,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB123) | (~v221(constB123)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35737,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB123) | (~v221(constB123))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35736, 35735])).
% 50.42/33.37 tff(35738,plain,
% 50.42/33.37 (~v221(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35737, 26489, 35705])).
% 50.42/33.37 tff(35739,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB123) | v231(constB123) | (~v243(constB123)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB123) | v231(constB123) | (~v243(constB123)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35740,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB123) | v231(constB123) | (~v243(constB123)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35741,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB123) | v231(constB123) | (~v243(constB123))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35740, 35739])).
% 50.42/33.37 tff(35742,plain,
% 50.42/33.37 (v231(constB123) | (~v243(constB123))),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35741, 15405, 35738])).
% 50.42/33.37 tff(35743,plain,
% 50.42/33.37 (~v243(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35742, 35734])).
% 50.42/33.37 tff(35744,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB123) | v255(constB123))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB123) | v255(constB123))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35745,plain,
% 50.42/33.37 ((v255(constB123) | v243(constB123)) <=> (v243(constB123) | v255(constB123))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35746,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB123) | v243(constB123))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB123) | v255(constB123)))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35745])).
% 50.42/33.37 tff(35747,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB123) | v243(constB123))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB123) | v255(constB123))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35746, 35744])).
% 50.42/33.37 tff(35748,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB123) | v243(constB123))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35749,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB123) | v255(constB123)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35748, 35747])).
% 50.42/33.37 tff(35750,plain,
% 50.42/33.37 (v255(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35749, 15416, 35743])).
% 50.42/33.37 tff(35751,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB123)) | (~v216(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB123)) | (~v216(constB123, 2)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35752,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB123)) | (~v216(constB123, 2)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35753,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB123)) | (~v216(constB123, 2))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35752, 35751])).
% 50.42/33.37 tff(35754,plain,
% 50.42/33.37 (~v216(constB123, 2)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35753, 15433, 35750])).
% 50.42/33.37 tff(35755,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB123, 2) | (~v215(constB123)) | v254(constB123))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB123, 2) | (~v215(constB123)) | v254(constB123))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35756,plain,
% 50.42/33.37 ((v216(constB123, 2) | v254(constB123) | (~v215(constB123))) <=> (v216(constB123, 2) | (~v215(constB123)) | v254(constB123))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35757,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB123, 2) | v254(constB123) | (~v215(constB123)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB123, 2) | (~v215(constB123)) | v254(constB123)))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35756])).
% 50.42/33.37 tff(35758,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB123, 2) | v254(constB123) | (~v215(constB123)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB123, 2) | (~v215(constB123)) | v254(constB123))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35757, 35755])).
% 50.42/33.37 tff(35759,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB123, 2) | v254(constB123) | (~v215(constB123)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35760,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB123, 2) | (~v215(constB123)) | v254(constB123)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35759, 35758])).
% 50.42/33.37 tff(35761,plain,
% 50.42/33.37 ((~v215(constB123)) | v254(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35760, 15447, 35754])).
% 50.42/33.37 tff(35762,plain,
% 50.42/33.37 (~v215(constB123)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35761, 35730])).
% 50.42/33.37 tff(35763,plain,
% 50.42/33.37 ($false),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35762, 35586])).
% 50.42/33.37 tff(35764,plain,(~(constB123 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.37 tff(35765,assumption,(constB1 = sK_VarCurr), introduced(assumption)).
% 50.42/33.37 tff(35766,plain,
% 50.42/33.37 (v215(constB1) <=> v215(sK_VarCurr)),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35765])).
% 50.42/33.37 tff(35767,plain,
% 50.42/33.37 (v215(sK_VarCurr) <=> v215(constB1)),
% 50.42/33.37 inference(symmetry,[status(thm)],[35766])).
% 50.42/33.37 tff(35768,plain,
% 50.42/33.37 (v215(constB1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[34, 35767])).
% 50.42/33.37 tff(35769,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35770,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35771,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35770, 35769])).
% 50.42/33.37 tff(35772,plain,
% 50.42/33.37 (~v88(constB1, 2)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35771, 26020, 133])).
% 50.42/33.37 tff(35773,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35774,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35775,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35774, 35773])).
% 50.42/33.37 tff(35776,plain,
% 50.42/33.37 (~v88(constB1, 1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35775, 26697, 154])).
% 50.42/33.37 tff(35777,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35778,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35779,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35778, 35777])).
% 50.42/33.37 tff(35780,plain,
% 50.42/33.37 (~v88(constB1, 0)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35779, 14930, 175])).
% 50.42/33.37 tff(35781,plain,
% 50.42/33.37 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)))),
% 50.42/33.37 inference(bind,[status(th)],[])).
% 50.42/33.37 tff(35782,plain,
% 50.42/33.37 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 50.42/33.37 inference(quant_intro,[status(thm)],[35781])).
% 50.42/33.37 tff(35783,plain,
% 50.42/33.37 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35784,plain,
% 50.42/33.37 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)))), rewrite(((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))))),
% 50.42/33.37 inference(bind,[status(th)],[])).
% 50.42/33.37 tff(35785,plain,
% 50.42/33.37 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 50.42/33.37 inference(quant_intro,[status(thm)],[35784])).
% 50.42/33.37 tff(35786,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 50.42/33.37 tff(35787,plain,
% 50.42/33.37 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35786, 35785])).
% 50.42/33.37 tff(35788,plain,
% 50.42/33.37 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35787, 35783])).
% 50.42/33.37 tff(35789,plain,(
% 50.42/33.37 ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 50.42/33.37 inference(skolemize,[status(sab)],[35788])).
% 50.42/33.37 tff(35790,plain,
% 50.42/33.37 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35789, 35782])).
% 50.42/33.37 tff(35791,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35792,plain,
% 50.42/33.37 ((v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1)) <=> (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35793,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35792])).
% 50.42/33.37 tff(35794,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35793, 35791])).
% 50.42/33.37 tff(35795,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35796,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35795, 35794])).
% 50.42/33.37 tff(35797,plain,
% 50.42/33.37 (v139(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35796, 35790, 35780, 35776, 35772])).
% 50.42/33.37 tff(35798,plain,
% 50.42/33.37 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | v200(VarCurr)) <=> ((~v139(VarCurr)) | v200(VarCurr)))),
% 50.42/33.37 inference(bind,[status(th)],[])).
% 50.42/33.37 tff(35799,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))),
% 50.42/33.37 inference(quant_intro,[status(thm)],[35798])).
% 50.42/33.37 tff(35800,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35801,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_2')).
% 50.42/33.37 tff(35802,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35801, 35800])).
% 50.42/33.37 tff(35803,plain,(
% 50.42/33.37 ![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))),
% 50.42/33.37 inference(skolemize,[status(sab)],[35802])).
% 50.42/33.37 tff(35804,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35803, 35799])).
% 50.42/33.37 tff(35805,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | (v200(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | v200(constB1) | (~v139(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35806,plain,
% 50.42/33.37 (((~v139(constB1)) | v200(constB1)) <=> (v200(constB1) | (~v139(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35807,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | ((~v139(constB1)) | v200(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | (v200(constB1) | (~v139(constB1))))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35806])).
% 50.42/33.37 tff(35808,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | ((~v139(constB1)) | v200(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | v200(constB1) | (~v139(constB1)))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35807, 35805])).
% 50.42/33.37 tff(35809,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | ((~v139(constB1)) | v200(constB1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35810,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v200(VarCurr))) | v200(constB1) | (~v139(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35809, 35808])).
% 50.42/33.37 tff(35811,plain,
% 50.42/33.37 (v200(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35810, 35804, 35797])).
% 50.42/33.37 tff(35812,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB1) | (~v200(constB1)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB1) | (~v200(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35813,plain,
% 50.42/33.37 (((~v200(constB1)) | v199(constB1)) <=> (v199(constB1) | (~v200(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35814,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB1)) | v199(constB1))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB1) | (~v200(constB1))))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35813])).
% 50.42/33.37 tff(35815,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB1)) | v199(constB1))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB1) | (~v200(constB1)))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35814, 35812])).
% 50.42/33.37 tff(35816,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB1)) | v199(constB1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35817,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB1) | (~v200(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35816, 35815])).
% 50.42/33.37 tff(35818,plain,
% 50.42/33.37 (v199(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35817, 26742, 35811])).
% 50.42/33.37 tff(35819,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB1)) | v198(constB1))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB1)) | v198(constB1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35820,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB1)) | v198(constB1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35821,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB1)) | v198(constB1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35820, 35819])).
% 50.42/33.37 tff(35822,plain,
% 50.42/33.37 (v198(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35821, 26293, 35818])).
% 50.42/33.37 tff(35823,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB1) | (~v198(constB1)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB1) | (~v198(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35824,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB1) | (~v198(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35825,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB1) | (~v198(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35824, 35823])).
% 50.42/33.37 tff(35826,plain,
% 50.42/33.37 (v197(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35825, 15078, 35822])).
% 50.42/33.37 tff(35827,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB1)) | (~v200(constB1)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB1)) | (~v200(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35828,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB1)) | (~v200(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35829,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB1)) | (~v200(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35828, 35827])).
% 50.42/33.37 tff(35830,plain,
% 50.42/33.37 (~v166(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35829, 26805, 35811])).
% 50.42/33.37 tff(35831,plain,
% 50.42/33.37 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB1) | v166(constB1) | (~v197(constB1)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB1) | v166(constB1) | (~v197(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35832,plain,
% 50.42/33.37 (((~v197(constB1)) | v166(constB1) | v241(constB1)) <=> (v241(constB1) | v166(constB1) | (~v197(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35833,plain,
% 50.42/33.37 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB1)) | v166(constB1) | v241(constB1))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB1) | v166(constB1) | (~v197(constB1))))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35832])).
% 50.42/33.37 tff(35834,plain,
% 50.42/33.37 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB1)) | v166(constB1) | v241(constB1))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB1) | v166(constB1) | (~v197(constB1)))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35833, 35831])).
% 50.42/33.37 tff(35835,plain,
% 50.42/33.37 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB1)) | v166(constB1) | v241(constB1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35836,plain,
% 50.42/33.37 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB1) | v166(constB1) | (~v197(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35835, 35834])).
% 50.42/33.37 tff(35837,plain,
% 50.42/33.37 (v241(constB1) | (~v197(constB1))),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35836, 15198, 35830])).
% 50.42/33.37 tff(35838,plain,
% 50.42/33.37 (v241(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35837, 35826])).
% 50.42/33.37 tff(35839,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB1)) | (~v223(constB1, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB1)) | (~v223(constB1, 2)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35840,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB1)) | (~v223(constB1, 2)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35841,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB1)) | (~v223(constB1, 2))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35840, 35839])).
% 50.42/33.37 tff(35842,plain,
% 50.42/33.37 (~v223(constB1, 2)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35841, 15216, 35838])).
% 50.42/33.37 tff(35843,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB1)) | v223(constB1, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB1)) | v223(constB1, 2))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35844,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB1)) | v223(constB1, 2))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35845,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB1)) | v223(constB1, 2)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35844, 35843])).
% 50.42/33.37 tff(35846,plain,
% 50.42/33.37 (~v224(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35845, 15227, 35842])).
% 50.42/33.37 tff(35847,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB1)) | (~v199(constB1)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB1)) | (~v199(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35848,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB1)) | (~v199(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35849,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB1)) | (~v199(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35848, 35847])).
% 50.42/33.37 tff(35850,plain,
% 50.42/33.37 (~v183(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35849, 26326, 35818])).
% 50.42/33.37 tff(35851,plain,
% 50.42/33.37 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB1) | (~v197(constB1)) | v183(constB1))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB1) | (~v197(constB1)) | v183(constB1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35852,plain,
% 50.42/33.37 (((~v197(constB1)) | v183(constB1) | v228(constB1)) <=> (v228(constB1) | (~v197(constB1)) | v183(constB1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35853,plain,
% 50.42/33.37 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB1)) | v183(constB1) | v228(constB1))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB1) | (~v197(constB1)) | v183(constB1)))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35852])).
% 50.42/33.37 tff(35854,plain,
% 50.42/33.37 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB1)) | v183(constB1) | v228(constB1))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB1) | (~v197(constB1)) | v183(constB1))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35853, 35851])).
% 50.42/33.37 tff(35855,plain,
% 50.42/33.37 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB1)) | v183(constB1) | v228(constB1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35856,plain,
% 50.42/33.37 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB1) | (~v197(constB1)) | v183(constB1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35855, 35854])).
% 50.42/33.37 tff(35857,plain,
% 50.42/33.37 (v228(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35856, 26340, 35826, 35850])).
% 50.42/33.37 tff(35858,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB1)) | (~v223(constB1, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB1)) | (~v223(constB1, 1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35859,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB1)) | (~v223(constB1, 1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35860,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB1)) | (~v223(constB1, 1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35859, 35858])).
% 50.42/33.37 tff(35861,plain,
% 50.42/33.37 (~v223(constB1, 1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35860, 26357, 35857])).
% 50.42/33.37 tff(35862,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB1)) | v223(constB1, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB1)) | v223(constB1, 1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35863,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB1)) | v223(constB1, 1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35864,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB1)) | v223(constB1, 1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35863, 35862])).
% 50.42/33.37 tff(35865,plain,
% 50.42/33.37 (~v222(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35864, 26413, 35861])).
% 50.42/33.37 tff(35866,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB1) | v224(constB1) | (~v236(constB1)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB1) | v224(constB1) | (~v236(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35867,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB1) | v224(constB1) | (~v236(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35868,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB1) | v224(constB1) | (~v236(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35867, 35866])).
% 50.42/33.37 tff(35869,plain,
% 50.42/33.37 (~v236(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35868, 15241, 35865, 35846])).
% 50.42/33.37 tff(35870,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB1) | (~v232(constB1)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB1) | (~v232(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35871,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB1) | (~v232(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35872,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB1) | (~v232(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35871, 35870])).
% 50.42/33.37 tff(35873,plain,
% 50.42/33.37 (~v232(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35872, 15255, 35869])).
% 50.42/33.37 tff(35874,plain,
% 50.42/33.37 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v148(VarCurr))) <=> ((~v139(VarCurr)) | (~v148(VarCurr))))),
% 50.42/33.37 inference(bind,[status(th)],[])).
% 50.42/33.37 tff(35875,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 50.42/33.37 inference(quant_intro,[status(thm)],[35874])).
% 50.42/33.37 tff(35876,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35877,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1_1')).
% 50.42/33.37 tff(35878,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35877, 35876])).
% 50.42/33.37 tff(35879,plain,(
% 50.42/33.37 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 50.42/33.37 inference(skolemize,[status(sab)],[35878])).
% 50.42/33.37 tff(35880,plain,
% 50.42/33.37 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35879, 35875])).
% 50.42/33.37 tff(35881,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | ((~v139(constB1)) | (~v148(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | (~v139(constB1)) | (~v148(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35882,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | ((~v139(constB1)) | (~v148(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35883,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v148(VarCurr)))) | (~v139(constB1)) | (~v148(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35882, 35881])).
% 50.42/33.37 tff(35884,plain,
% 50.42/33.37 (~v148(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35883, 35880, 35797])).
% 50.42/33.37 tff(35885,plain,
% 50.42/33.37 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB1) | v252(constB1) | (~v197(constB1)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB1) | v252(constB1) | (~v197(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35886,plain,
% 50.42/33.37 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB1) | v252(constB1) | (~v197(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35887,plain,
% 50.42/33.37 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB1) | v252(constB1) | (~v197(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35886, 35885])).
% 50.42/33.37 tff(35888,plain,
% 50.42/33.37 (v252(constB1) | (~v197(constB1))),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35887, 15283, 35884])).
% 50.42/33.37 tff(35889,plain,
% 50.42/33.37 (v252(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35888, 35826])).
% 50.42/33.37 tff(35890,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB1)) | (~v223(constB1, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB1)) | (~v223(constB1, 3)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35891,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB1)) | (~v223(constB1, 3)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35892,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB1)) | (~v223(constB1, 3))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35891, 35890])).
% 50.42/33.37 tff(35893,plain,
% 50.42/33.37 (~v223(constB1, 3)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35892, 15298, 35889])).
% 50.42/33.37 tff(35894,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB1)) | v223(constB1, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB1)) | v223(constB1, 3))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35895,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB1)) | v223(constB1, 3))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35896,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB1)) | v223(constB1, 3)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35895, 35894])).
% 50.42/33.37 tff(35897,plain,
% 50.42/33.37 (~v237(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35896, 15309, 35893])).
% 50.42/33.37 tff(35898,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB1) | v237(constB1) | (~v248(constB1)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB1) | v237(constB1) | (~v248(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35899,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB1) | v237(constB1) | (~v248(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35900,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB1) | v237(constB1) | (~v248(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35899, 35898])).
% 50.42/33.37 tff(35901,plain,
% 50.42/33.37 (v232(constB1) | (~v248(constB1))),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35900, 15323, 35897])).
% 50.42/33.37 tff(35902,plain,
% 50.42/33.37 (~v248(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35901, 35873])).
% 50.42/33.37 tff(35903,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB1) | (~v244(constB1)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB1) | (~v244(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35904,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB1) | (~v244(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35905,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB1) | (~v244(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35904, 35903])).
% 50.42/33.37 tff(35906,plain,
% 50.42/33.37 (~v244(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35905, 15338, 35902])).
% 50.42/33.37 tff(35907,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB1) | (~v216(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB1) | (~v216(constB1, 1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35908,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB1) | (~v216(constB1, 1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35909,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB1) | (~v216(constB1, 1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35908, 35907])).
% 50.42/33.37 tff(35910,plain,
% 50.42/33.37 (~v216(constB1, 1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35909, 15352, 35906])).
% 50.42/33.37 tff(35911,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB1)) | v216(constB1, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB1)) | v216(constB1, 1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35912,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB1)) | v216(constB1, 1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35913,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB1)) | v216(constB1, 1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35912, 35911])).
% 50.42/33.37 tff(35914,plain,
% 50.42/33.37 (~v254(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35913, 15363, 35910])).
% 50.42/33.37 tff(35915,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB1) | (~v231(constB1)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB1) | (~v231(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35916,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB1) | (~v231(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35917,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB1) | (~v231(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35916, 35915])).
% 50.42/33.37 tff(35918,plain,
% 50.42/33.37 (~v231(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35917, 15391, 35897])).
% 50.42/33.37 tff(35919,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB1) | (~v221(constB1)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB1) | (~v221(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35920,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB1) | (~v221(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35921,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB1) | (~v221(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35920, 35919])).
% 50.42/33.37 tff(35922,plain,
% 50.42/33.37 (~v221(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35921, 26489, 35865])).
% 50.42/33.37 tff(35923,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB1) | v231(constB1) | (~v243(constB1)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB1) | v231(constB1) | (~v243(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35924,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB1) | v231(constB1) | (~v243(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35925,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB1) | v231(constB1) | (~v243(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35924, 35923])).
% 50.42/33.37 tff(35926,plain,
% 50.42/33.37 (~v243(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35925, 15405, 35922, 35918])).
% 50.42/33.37 tff(35927,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB1) | v255(constB1))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB1) | v255(constB1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35928,plain,
% 50.42/33.37 ((v255(constB1) | v243(constB1)) <=> (v243(constB1) | v255(constB1))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35929,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB1) | v243(constB1))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB1) | v255(constB1)))),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35928])).
% 50.42/33.37 tff(35930,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB1) | v243(constB1))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB1) | v255(constB1))),
% 50.42/33.37 inference(transitivity,[status(thm)],[35929, 35927])).
% 50.42/33.37 tff(35931,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB1) | v243(constB1))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35932,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB1) | v255(constB1)),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35931, 35930])).
% 50.42/33.37 tff(35933,plain,
% 50.42/33.37 (v255(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35932, 15416, 35926])).
% 50.42/33.37 tff(35934,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB1)) | (~v216(constB1, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB1)) | (~v216(constB1, 2)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35935,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB1)) | (~v216(constB1, 2)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35936,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB1)) | (~v216(constB1, 2))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35935, 35934])).
% 50.42/33.37 tff(35937,plain,
% 50.42/33.37 (~v216(constB1, 2)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35936, 15433, 35933])).
% 50.42/33.37 tff(35938,plain,
% 50.42/33.37 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB1, 2) | v254(constB1) | (~v215(constB1)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB1, 2) | v254(constB1) | (~v215(constB1)))),
% 50.42/33.37 inference(rewrite,[status(thm)],[])).
% 50.42/33.37 tff(35939,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB1, 2) | v254(constB1) | (~v215(constB1)))),
% 50.42/33.37 inference(quant_inst,[status(thm)],[])).
% 50.42/33.37 tff(35940,plain,
% 50.42/33.37 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB1, 2) | v254(constB1) | (~v215(constB1))),
% 50.42/33.37 inference(modus_ponens,[status(thm)],[35939, 35938])).
% 50.42/33.37 tff(35941,plain,
% 50.42/33.37 (v254(constB1) | (~v215(constB1))),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35940, 15447, 35937])).
% 50.42/33.37 tff(35942,plain,
% 50.42/33.37 (~v215(constB1)),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35941, 35914])).
% 50.42/33.37 tff(35943,plain,
% 50.42/33.37 ($false),
% 50.42/33.37 inference(unit_resolution,[status(thm)],[35942, 35768])).
% 50.42/33.37 tff(35944,plain,(~(constB1 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.37 tff(35945,assumption,(constB115 = sK_VarCurr), introduced(assumption)).
% 50.42/33.37 tff(35946,plain,
% 50.42/33.37 (v215(constB115) <=> v215(sK_VarCurr)),
% 50.42/33.37 inference(monotonicity,[status(thm)],[35945])).
% 50.42/33.37 tff(35947,plain,
% 50.42/33.37 (v215(sK_VarCurr) <=> v215(constB115)),
% 50.42/33.38 inference(symmetry,[status(thm)],[35946])).
% 50.42/33.38 tff(35948,plain,
% 50.42/33.38 (v215(constB115)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[34, 35947])).
% 50.42/33.38 tff(35949,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB115, 1)) | v88(constB115, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB115, 1)) | v88(constB115, 1))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35950,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB115, 1)) | v88(constB115, 1))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35951,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB115, 1)) | v88(constB115, 1)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35950, 35949])).
% 50.42/33.38 tff(35952,plain,
% 50.42/33.38 (v88(constB115, 1)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35951, 15014, 14344])).
% 50.42/33.38 tff(35953,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB115, 2)) | v90(constB115, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB115, 2)) | v90(constB115, 2))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35954,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB115, 2)) | v90(constB115, 2))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35955,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB115, 2)) | v90(constB115, 2)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35954, 35953])).
% 50.42/33.38 tff(35956,plain,
% 50.42/33.38 (~v88(constB115, 2)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35955, 26020, 14383])).
% 50.42/33.38 tff(35957,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB115, 0)) | v88(constB115, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB115, 0)) | v88(constB115, 0))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35958,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB115, 0)) | v88(constB115, 0))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35959,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB115, 0)) | v88(constB115, 0)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35958, 35957])).
% 50.42/33.38 tff(35960,plain,
% 50.42/33.38 (v88(constB115, 0)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35959, 26254, 14392])).
% 50.42/33.38 tff(35961,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 0)) | (~v88(constB115, 1)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB115, 2) | (~v88(constB115, 0)) | (~v88(constB115, 1)) | v141(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35962,plain,
% 50.42/33.38 ((v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115)) <=> (v88(constB115, 2) | (~v88(constB115, 0)) | (~v88(constB115, 1)) | v141(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35963,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 0)) | (~v88(constB115, 1)) | v141(constB115)))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[35962])).
% 50.42/33.38 tff(35964,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB115, 2) | (~v88(constB115, 0)) | (~v88(constB115, 1)) | v141(constB115))),
% 50.42/33.38 inference(transitivity,[status(thm)],[35963, 35961])).
% 50.42/33.38 tff(35965,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35966,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB115, 2) | (~v88(constB115, 0)) | (~v88(constB115, 1)) | v141(constB115)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35965, 35964])).
% 50.42/33.38 tff(35967,plain,
% 50.42/33.38 (v88(constB115, 2) | (~v88(constB115, 1)) | v141(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35966, 26268, 35960])).
% 50.42/33.38 tff(35968,plain,
% 50.42/33.38 (v141(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35967, 35956, 35952])).
% 50.42/33.38 tff(35969,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB115)) | v199(constB115))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB115)) | v199(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35970,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB115)) | v199(constB115))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35971,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB115)) | v199(constB115)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35970, 35969])).
% 50.42/33.38 tff(35972,plain,
% 50.42/33.38 (v199(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35971, 26282, 35968])).
% 50.42/33.38 tff(35973,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB115) | (~v199(constB115)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB115) | (~v199(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35974,plain,
% 50.42/33.38 (((~v199(constB115)) | v198(constB115)) <=> (v198(constB115) | (~v199(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35975,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB115)) | v198(constB115))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB115) | (~v199(constB115))))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[35974])).
% 50.42/33.38 tff(35976,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB115)) | v198(constB115))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB115) | (~v199(constB115)))),
% 50.42/33.38 inference(transitivity,[status(thm)],[35975, 35973])).
% 50.42/33.38 tff(35977,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB115)) | v198(constB115))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35978,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB115) | (~v199(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35977, 35976])).
% 50.42/33.38 tff(35979,plain,
% 50.42/33.38 (v198(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35978, 26293, 35972])).
% 50.42/33.38 tff(35980,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB115)) | (~v201(constB115)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB115)) | (~v201(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35981,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB115)) | (~v201(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35982,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB115)) | (~v201(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35981, 35980])).
% 50.42/33.38 tff(35983,plain,
% 50.42/33.38 (~v201(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35982, 15064, 35979])).
% 50.42/33.38 tff(35984,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB115) | (~v198(constB115)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB115) | (~v198(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35985,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB115) | (~v198(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35986,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB115) | (~v198(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35985, 35984])).
% 50.42/33.38 tff(35987,plain,
% 50.42/33.38 (v197(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35986, 15078, 35979])).
% 50.42/33.38 tff(35988,plain,
% 50.42/33.38 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB115) | (~v197(constB115)) | v201(constB115))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB115) | (~v197(constB115)) | v201(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35989,plain,
% 50.42/33.38 (((~v197(constB115)) | v201(constB115) | v227(constB115)) <=> (v227(constB115) | (~v197(constB115)) | v201(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35990,plain,
% 50.42/33.38 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB115)) | v201(constB115) | v227(constB115))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB115) | (~v197(constB115)) | v201(constB115)))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[35989])).
% 50.42/33.38 tff(35991,plain,
% 50.42/33.38 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB115)) | v201(constB115) | v227(constB115))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB115) | (~v197(constB115)) | v201(constB115))),
% 50.42/33.38 inference(transitivity,[status(thm)],[35990, 35988])).
% 50.42/33.38 tff(35992,plain,
% 50.42/33.38 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB115)) | v201(constB115) | v227(constB115))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35993,plain,
% 50.42/33.38 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB115) | (~v197(constB115)) | v201(constB115)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35992, 35991])).
% 50.42/33.38 tff(35994,plain,
% 50.42/33.38 (v227(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35993, 15092, 35987, 35983])).
% 50.42/33.38 tff(35995,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB115)) | (~v223(constB115, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB115)) | (~v223(constB115, 0)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(35996,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB115)) | (~v223(constB115, 0)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(35997,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB115)) | (~v223(constB115, 0))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[35996, 35995])).
% 50.42/33.38 tff(35998,plain,
% 50.42/33.38 (~v223(constB115, 0)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[35997, 15109, 35994])).
% 50.42/33.38 tff(35999,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB115)) | (~v199(constB115)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB115)) | (~v199(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36000,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB115)) | (~v199(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36001,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB115)) | (~v199(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36000, 35999])).
% 50.42/33.38 tff(36002,plain,
% 50.42/33.38 (~v183(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36001, 26326, 35972])).
% 50.42/33.38 tff(36003,plain,
% 50.42/33.38 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB115) | (~v197(constB115)) | v183(constB115))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB115) | (~v197(constB115)) | v183(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36004,plain,
% 50.42/33.38 (((~v197(constB115)) | v183(constB115) | v228(constB115)) <=> (v228(constB115) | (~v197(constB115)) | v183(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36005,plain,
% 50.42/33.38 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB115)) | v183(constB115) | v228(constB115))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB115) | (~v197(constB115)) | v183(constB115)))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[36004])).
% 50.42/33.38 tff(36006,plain,
% 50.42/33.38 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB115)) | v183(constB115) | v228(constB115))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB115) | (~v197(constB115)) | v183(constB115))),
% 50.42/33.38 inference(transitivity,[status(thm)],[36005, 36003])).
% 50.42/33.38 tff(36007,plain,
% 50.42/33.38 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB115)) | v183(constB115) | v228(constB115))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36008,plain,
% 50.42/33.38 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB115) | (~v197(constB115)) | v183(constB115)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36007, 36006])).
% 50.42/33.38 tff(36009,plain,
% 50.42/33.38 (v228(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36008, 26340, 35987, 36002])).
% 50.42/33.38 tff(36010,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB115)) | (~v223(constB115, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB115)) | (~v223(constB115, 1)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36011,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB115)) | (~v223(constB115, 1)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36012,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB115)) | (~v223(constB115, 1))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36011, 36010])).
% 50.42/33.38 tff(36013,plain,
% 50.42/33.38 (~v223(constB115, 1)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36012, 26357, 36009])).
% 50.42/33.38 tff(36014,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB115, 0) | (~v229(constB115)) | v223(constB115, 1))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB115, 0) | (~v229(constB115)) | v223(constB115, 1))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36015,plain,
% 50.42/33.38 ((v223(constB115, 0) | v223(constB115, 1) | (~v229(constB115))) <=> (v223(constB115, 0) | (~v229(constB115)) | v223(constB115, 1))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36016,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB115, 0) | v223(constB115, 1) | (~v229(constB115)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB115, 0) | (~v229(constB115)) | v223(constB115, 1)))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[36015])).
% 50.42/33.38 tff(36017,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB115, 0) | v223(constB115, 1) | (~v229(constB115)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB115, 0) | (~v229(constB115)) | v223(constB115, 1))),
% 50.42/33.38 inference(transitivity,[status(thm)],[36016, 36014])).
% 50.42/33.38 tff(36018,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB115, 0) | v223(constB115, 1) | (~v229(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36019,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB115, 0) | (~v229(constB115)) | v223(constB115, 1)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36018, 36017])).
% 50.42/33.38 tff(36020,plain,
% 50.42/33.38 (v223(constB115, 0) | (~v229(constB115))),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36019, 26371, 36013])).
% 50.42/33.38 tff(36021,plain,
% 50.42/33.38 (~v229(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36020, 35998])).
% 50.42/33.38 tff(36022,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB115) | (~v225(constB115)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB115) | (~v225(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36023,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB115) | (~v225(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36024,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB115) | (~v225(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36023, 36022])).
% 50.42/33.38 tff(36025,plain,
% 50.42/33.38 (~v225(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36024, 26388, 36021])).
% 50.42/33.38 tff(36026,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB115) | (~v224(constB115)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB115) | (~v224(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36027,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB115) | (~v224(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36028,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB115) | (~v224(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36027, 36026])).
% 50.42/33.38 tff(36029,plain,
% 50.42/33.38 (~v224(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36028, 26402, 36025])).
% 50.42/33.38 tff(36030,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB115)) | v223(constB115, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB115)) | v223(constB115, 1))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36031,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB115)) | v223(constB115, 1))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36032,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB115)) | v223(constB115, 1)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36031, 36030])).
% 50.42/33.38 tff(36033,plain,
% 50.42/33.38 (~v222(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36032, 26413, 36013])).
% 50.42/33.38 tff(36034,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB115) | v224(constB115) | (~v236(constB115)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB115) | v224(constB115) | (~v236(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36035,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB115) | v224(constB115) | (~v236(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36036,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB115) | v224(constB115) | (~v236(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36035, 36034])).
% 50.42/33.38 tff(36037,plain,
% 50.42/33.38 (v224(constB115) | (~v236(constB115))),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36036, 15241, 36033])).
% 50.42/33.38 tff(36038,plain,
% 50.42/33.38 (~v236(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36037, 36029])).
% 50.42/33.38 tff(36039,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB115) | (~v232(constB115)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB115) | (~v232(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36040,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB115) | (~v232(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36041,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB115) | (~v232(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36040, 36039])).
% 50.42/33.38 tff(36042,plain,
% 50.42/33.38 (~v232(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36041, 15255, 36038])).
% 50.42/33.38 tff(36043,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB115)) | (~v88(constB115, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB115)) | (~v88(constB115, 1)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36044,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB115)) | (~v88(constB115, 1)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36045,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB115)) | (~v88(constB115, 1))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36044, 36043])).
% 50.42/33.38 tff(36046,plain,
% 50.42/33.38 (~v140(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36045, 15142, 35952])).
% 50.42/33.38 tff(36047,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB115)) | (~v88(constB115, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB115)) | (~v88(constB115, 0)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36048,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB115)) | (~v88(constB115, 0)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36049,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB115)) | (~v88(constB115, 0))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36048, 36047])).
% 50.42/33.38 tff(36050,plain,
% 50.42/33.38 (~v139(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36049, 26437, 35960])).
% 50.42/33.38 tff(36051,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v148(constB115)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB115) | v140(constB115) | (~v148(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36052,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v148(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36053,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB115) | v140(constB115) | (~v148(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36052, 36051])).
% 50.42/33.38 tff(36054,plain,
% 50.42/33.38 (v140(constB115) | (~v148(constB115))),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36053, 15269, 36050])).
% 50.42/33.38 tff(36055,plain,
% 50.42/33.38 (~v148(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36054, 36046])).
% 50.42/33.38 tff(36056,plain,
% 50.42/33.38 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB115) | v252(constB115) | (~v197(constB115)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB115) | v252(constB115) | (~v197(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36057,plain,
% 50.42/33.38 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB115) | v252(constB115) | (~v197(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36058,plain,
% 50.42/33.38 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB115) | v252(constB115) | (~v197(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 50.42/33.38 tff(36059,plain,
% 50.42/33.38 (v252(constB115) | (~v197(constB115))),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36058, 15283, 36055])).
% 50.42/33.38 tff(36060,plain,
% 50.42/33.38 (v252(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36059, 35987])).
% 50.42/33.38 tff(36061,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB115)) | (~v223(constB115, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB115)) | (~v223(constB115, 3)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36062,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB115)) | (~v223(constB115, 3)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36063,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB115)) | (~v223(constB115, 3))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36062, 36061])).
% 50.42/33.38 tff(36064,plain,
% 50.42/33.38 (~v223(constB115, 3)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36063, 15298, 36060])).
% 50.42/33.38 tff(36065,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB115)) | v223(constB115, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB115)) | v223(constB115, 3))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36066,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB115)) | v223(constB115, 3))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36067,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB115)) | v223(constB115, 3)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36066, 36065])).
% 50.42/33.38 tff(36068,plain,
% 50.42/33.38 (~v237(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36067, 15309, 36064])).
% 50.42/33.38 tff(36069,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB115) | v237(constB115) | (~v248(constB115)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB115) | v237(constB115) | (~v248(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36070,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB115) | v237(constB115) | (~v248(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36071,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB115) | v237(constB115) | (~v248(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36070, 36069])).
% 50.42/33.38 tff(36072,plain,
% 50.42/33.38 (v232(constB115) | (~v248(constB115))),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36071, 15323, 36068])).
% 50.42/33.38 tff(36073,plain,
% 50.42/33.38 (~v248(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36072, 36042])).
% 50.42/33.38 tff(36074,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB115) | (~v244(constB115)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB115) | (~v244(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36075,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB115) | (~v244(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36076,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB115) | (~v244(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36075, 36074])).
% 50.42/33.38 tff(36077,plain,
% 50.42/33.38 (~v244(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36076, 15338, 36073])).
% 50.42/33.38 tff(36078,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB115) | (~v216(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB115) | (~v216(constB115, 1)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36079,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB115) | (~v216(constB115, 1)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36080,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB115) | (~v216(constB115, 1))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36079, 36078])).
% 50.42/33.38 tff(36081,plain,
% 50.42/33.38 (~v216(constB115, 1)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36080, 15352, 36077])).
% 50.42/33.38 tff(36082,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB115)) | v216(constB115, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB115)) | v216(constB115, 1))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36083,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB115)) | v216(constB115, 1))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36084,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB115)) | v216(constB115, 1)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36083, 36082])).
% 50.42/33.38 tff(36085,plain,
% 50.42/33.38 (~v254(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36084, 15363, 36081])).
% 50.42/33.38 tff(36086,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB115) | (~v231(constB115)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB115) | (~v231(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36087,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB115) | (~v231(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36088,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB115) | (~v231(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36087, 36086])).
% 50.42/33.38 tff(36089,plain,
% 50.42/33.38 (~v231(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36088, 15391, 36068])).
% 50.42/33.38 tff(36090,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB115) | (~v221(constB115)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB115) | (~v221(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36091,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB115) | (~v221(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36092,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB115) | (~v221(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36091, 36090])).
% 50.42/33.38 tff(36093,plain,
% 50.42/33.38 (~v221(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36092, 26489, 36033])).
% 50.42/33.38 tff(36094,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB115) | v231(constB115) | (~v243(constB115)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB115) | v231(constB115) | (~v243(constB115)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36095,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB115) | v231(constB115) | (~v243(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36096,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB115) | v231(constB115) | (~v243(constB115))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36095, 36094])).
% 50.42/33.38 tff(36097,plain,
% 50.42/33.38 (~v243(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36096, 15405, 36093, 36089])).
% 50.42/33.38 tff(36098,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB115) | v255(constB115))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB115) | v255(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36099,plain,
% 50.42/33.38 ((v255(constB115) | v243(constB115)) <=> (v243(constB115) | v255(constB115))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36100,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB115) | v243(constB115))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB115) | v255(constB115)))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[36099])).
% 50.42/33.38 tff(36101,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB115) | v243(constB115))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB115) | v255(constB115))),
% 50.42/33.38 inference(transitivity,[status(thm)],[36100, 36098])).
% 50.42/33.38 tff(36102,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB115) | v243(constB115))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36103,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB115) | v255(constB115)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36102, 36101])).
% 50.42/33.38 tff(36104,plain,
% 50.42/33.38 (v255(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36103, 15416, 36097])).
% 50.42/33.38 tff(36105,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB115)) | (~v216(constB115, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB115)) | (~v216(constB115, 2)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36106,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB115)) | (~v216(constB115, 2)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36107,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB115)) | (~v216(constB115, 2))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36106, 36105])).
% 50.42/33.38 tff(36108,plain,
% 50.42/33.38 (~v216(constB115, 2)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36107, 15433, 36104])).
% 50.42/33.38 tff(36109,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB115)) | v254(constB115) | v216(constB115, 2))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB115)) | v254(constB115) | v216(constB115, 2))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36110,plain,
% 50.42/33.38 ((v216(constB115, 2) | v254(constB115) | (~v215(constB115))) <=> ((~v215(constB115)) | v254(constB115) | v216(constB115, 2))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36111,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB115, 2) | v254(constB115) | (~v215(constB115)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB115)) | v254(constB115) | v216(constB115, 2)))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[36110])).
% 50.42/33.38 tff(36112,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB115, 2) | v254(constB115) | (~v215(constB115)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB115)) | v254(constB115) | v216(constB115, 2))),
% 50.42/33.38 inference(transitivity,[status(thm)],[36111, 36109])).
% 50.42/33.38 tff(36113,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB115, 2) | v254(constB115) | (~v215(constB115)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36114,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB115)) | v254(constB115) | v216(constB115, 2)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36113, 36112])).
% 50.42/33.38 tff(36115,plain,
% 50.42/33.38 ((~v215(constB115)) | v254(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36114, 15447, 36108])).
% 50.42/33.38 tff(36116,plain,
% 50.42/33.38 (~v215(constB115)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36115, 36085])).
% 50.42/33.38 tff(36117,plain,
% 50.42/33.38 ($false),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36116, 35948])).
% 50.42/33.38 tff(36118,plain,(~(constB115 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.38 tff(36119,assumption,(constB87 = sK_VarCurr), introduced(assumption)).
% 50.42/33.38 tff(36120,plain,
% 50.42/33.38 (v215(constB87) <=> v215(sK_VarCurr)),
% 50.42/33.38 inference(monotonicity,[status(thm)],[36119])).
% 50.42/33.38 tff(36121,plain,
% 50.42/33.38 (v215(sK_VarCurr) <=> v215(constB87)),
% 50.42/33.38 inference(symmetry,[status(thm)],[36120])).
% 50.42/33.38 tff(36122,plain,
% 50.42/33.38 (v215(constB87)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[34, 36121])).
% 50.42/33.38 tff(36123,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB87, 2)) | v90(constB87, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB87, 2)) | v90(constB87, 2))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36124,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB87, 2)) | v90(constB87, 2))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36125,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB87, 2)) | v90(constB87, 2)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36124, 36123])).
% 50.42/33.38 tff(36126,plain,
% 50.42/33.38 (~v88(constB87, 2)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36125, 26020, 10286])).
% 50.42/33.38 tff(36127,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB87, 1)) | v90(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB87, 1)) | v90(constB87, 1))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36128,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB87, 1)) | v90(constB87, 1))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36129,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB87, 1)) | v90(constB87, 1)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36128, 36127])).
% 50.42/33.38 tff(36130,plain,
% 50.42/33.38 (~v88(constB87, 1)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36129, 26697, 10320])).
% 50.42/33.38 tff(36131,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB87, 0)) | v88(constB87, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB87, 0)) | v88(constB87, 0))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36132,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB87, 0)) | v88(constB87, 0))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36133,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB87, 0)) | v88(constB87, 0)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36132, 36131])).
% 50.42/33.38 tff(36134,plain,
% 50.42/33.38 (v88(constB87, 0)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36133, 26254, 10351])).
% 50.42/33.38 tff(36135,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB87, 1) | v88(constB87, 2) | (~v88(constB87, 0)) | v140(constB87))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB87, 1) | v88(constB87, 2) | (~v88(constB87, 0)) | v140(constB87))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36136,plain,
% 50.42/33.38 ((v88(constB87, 2) | v88(constB87, 1) | (~v88(constB87, 0)) | v140(constB87)) <=> (v88(constB87, 1) | v88(constB87, 2) | (~v88(constB87, 0)) | v140(constB87))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36137,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB87, 2) | v88(constB87, 1) | (~v88(constB87, 0)) | v140(constB87))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB87, 1) | v88(constB87, 2) | (~v88(constB87, 0)) | v140(constB87)))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[36136])).
% 50.42/33.38 tff(36138,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB87, 2) | v88(constB87, 1) | (~v88(constB87, 0)) | v140(constB87))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB87, 1) | v88(constB87, 2) | (~v88(constB87, 0)) | v140(constB87))),
% 50.42/33.38 inference(transitivity,[status(thm)],[36137, 36135])).
% 50.42/33.38 tff(36139,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB87, 2) | v88(constB87, 1) | (~v88(constB87, 0)) | v140(constB87))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36140,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB87, 1) | v88(constB87, 2) | (~v88(constB87, 0)) | v140(constB87)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36139, 36138])).
% 50.42/33.38 tff(36141,plain,
% 50.42/33.38 (v140(constB87)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36140, 26719, 36134, 36130, 36126])).
% 50.42/33.38 tff(36142,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB87)) | v200(constB87))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB87)) | v200(constB87))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36143,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB87)) | v200(constB87))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36144,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB87)) | v200(constB87)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36143, 36142])).
% 50.42/33.38 tff(36145,plain,
% 50.42/33.38 (v200(constB87)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36144, 26731, 36141])).
% 50.42/33.38 tff(36146,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB87) | (~v200(constB87)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB87) | (~v200(constB87)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36147,plain,
% 50.42/33.38 (((~v200(constB87)) | v199(constB87)) <=> (v199(constB87) | (~v200(constB87)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36148,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB87)) | v199(constB87))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB87) | (~v200(constB87))))),
% 50.42/33.38 inference(monotonicity,[status(thm)],[36147])).
% 50.42/33.38 tff(36149,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB87)) | v199(constB87))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB87) | (~v200(constB87)))),
% 50.42/33.38 inference(transitivity,[status(thm)],[36148, 36146])).
% 50.42/33.38 tff(36150,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB87)) | v199(constB87))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36151,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB87) | (~v200(constB87))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36150, 36149])).
% 50.42/33.38 tff(36152,plain,
% 50.42/33.38 (v199(constB87)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36151, 26742, 36145])).
% 50.42/33.38 tff(36153,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB87)) | v198(constB87))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB87)) | v198(constB87))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36154,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB87)) | v198(constB87))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36155,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB87)) | v198(constB87)),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36154, 36153])).
% 50.42/33.38 tff(36156,plain,
% 50.42/33.38 (v198(constB87)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36155, 26293, 36152])).
% 50.42/33.38 tff(36157,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB87)) | (~v201(constB87)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB87)) | (~v201(constB87)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36158,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB87)) | (~v201(constB87)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36159,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB87)) | (~v201(constB87))),
% 50.42/33.38 inference(modus_ponens,[status(thm)],[36158, 36157])).
% 50.42/33.38 tff(36160,plain,
% 50.42/33.38 (~v201(constB87)),
% 50.42/33.38 inference(unit_resolution,[status(thm)],[36159, 15064, 36156])).
% 50.42/33.38 tff(36161,plain,
% 50.42/33.38 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB87) | (~v198(constB87)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB87) | (~v198(constB87)))),
% 50.42/33.38 inference(rewrite,[status(thm)],[])).
% 50.42/33.38 tff(36162,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB87) | (~v198(constB87)))),
% 50.42/33.38 inference(quant_inst,[status(thm)],[])).
% 50.42/33.38 tff(36163,plain,
% 50.42/33.38 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB87) | (~v198(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36162, 36161])).
% 50.42/33.39 tff(36164,plain,
% 50.42/33.39 (v197(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36163, 15078, 36156])).
% 50.42/33.39 tff(36165,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB87) | v201(constB87) | (~v197(constB87)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | v201(constB87) | (~v197(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36166,plain,
% 50.42/33.39 (((~v197(constB87)) | v201(constB87) | v227(constB87)) <=> (v227(constB87) | v201(constB87) | (~v197(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36167,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB87) | v201(constB87) | (~v197(constB87))))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36166])).
% 50.42/33.39 tff(36168,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | v201(constB87) | (~v197(constB87)))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36167, 36165])).
% 50.42/33.39 tff(36169,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36170,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | v201(constB87) | (~v197(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36169, 36168])).
% 50.42/33.39 tff(36171,plain,
% 50.42/33.39 (v227(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36170, 15092, 36164, 36160])).
% 50.42/33.39 tff(36172,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB87)) | (~v223(constB87, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB87)) | (~v223(constB87, 0)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36173,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB87)) | (~v223(constB87, 0)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36174,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB87)) | (~v223(constB87, 0))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36173, 36172])).
% 50.42/33.39 tff(36175,plain,
% 50.42/33.39 (~v223(constB87, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36174, 15109, 36171])).
% 50.42/33.39 tff(36176,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB87)) | (~v199(constB87)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB87)) | (~v199(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36177,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB87)) | (~v199(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36178,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB87)) | (~v199(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36177, 36176])).
% 50.42/33.39 tff(36179,plain,
% 50.42/33.39 (~v183(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36178, 26326, 36152])).
% 50.42/33.39 tff(36180,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB87) | v183(constB87) | (~v197(constB87)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB87) | v183(constB87) | (~v197(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36181,plain,
% 50.42/33.39 (((~v197(constB87)) | v183(constB87) | v228(constB87)) <=> (v228(constB87) | v183(constB87) | (~v197(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36182,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB87)) | v183(constB87) | v228(constB87))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB87) | v183(constB87) | (~v197(constB87))))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36181])).
% 50.42/33.39 tff(36183,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB87)) | v183(constB87) | v228(constB87))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB87) | v183(constB87) | (~v197(constB87)))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36182, 36180])).
% 50.42/33.39 tff(36184,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB87)) | v183(constB87) | v228(constB87))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36185,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB87) | v183(constB87) | (~v197(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36184, 36183])).
% 50.42/33.39 tff(36186,plain,
% 50.42/33.39 (v228(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36185, 26340, 36164, 36179])).
% 50.42/33.39 tff(36187,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB87)) | (~v223(constB87, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB87)) | (~v223(constB87, 1)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36188,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB87)) | (~v223(constB87, 1)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36189,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB87)) | (~v223(constB87, 1))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36188, 36187])).
% 50.42/33.39 tff(36190,plain,
% 50.42/33.39 (~v223(constB87, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36189, 26357, 36186])).
% 50.42/33.39 tff(36191,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB87, 1) | v223(constB87, 0) | (~v229(constB87)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB87, 1) | v223(constB87, 0) | (~v229(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36192,plain,
% 50.42/33.39 ((v223(constB87, 0) | v223(constB87, 1) | (~v229(constB87))) <=> (v223(constB87, 1) | v223(constB87, 0) | (~v229(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36193,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB87, 0) | v223(constB87, 1) | (~v229(constB87)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB87, 1) | v223(constB87, 0) | (~v229(constB87))))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36192])).
% 50.42/33.39 tff(36194,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB87, 0) | v223(constB87, 1) | (~v229(constB87)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB87, 1) | v223(constB87, 0) | (~v229(constB87)))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36193, 36191])).
% 50.42/33.39 tff(36195,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB87, 0) | v223(constB87, 1) | (~v229(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36196,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB87, 1) | v223(constB87, 0) | (~v229(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36195, 36194])).
% 50.42/33.39 tff(36197,plain,
% 50.42/33.39 (~v229(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36196, 26371, 36190, 36175])).
% 50.42/33.39 tff(36198,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB87) | (~v225(constB87)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB87) | (~v225(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36199,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB87) | (~v225(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36200,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB87) | (~v225(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36199, 36198])).
% 50.42/33.39 tff(36201,plain,
% 50.42/33.39 (~v225(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36200, 26388, 36197])).
% 50.42/33.39 tff(36202,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB87)) | (~v200(constB87)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB87)) | (~v200(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36203,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB87)) | (~v200(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36204,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB87)) | (~v200(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36203, 36202])).
% 50.42/33.39 tff(36205,plain,
% 50.42/33.39 (~v166(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36204, 26805, 36145])).
% 50.42/33.39 tff(36206,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB87) | (~v197(constB87)) | v166(constB87))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | (~v197(constB87)) | v166(constB87))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36207,plain,
% 50.42/33.39 (((~v197(constB87)) | v166(constB87) | v241(constB87)) <=> (v241(constB87) | (~v197(constB87)) | v166(constB87))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36208,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB87) | (~v197(constB87)) | v166(constB87)))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36207])).
% 50.42/33.39 tff(36209,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | (~v197(constB87)) | v166(constB87))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36208, 36206])).
% 50.42/33.39 tff(36210,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36211,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | (~v197(constB87)) | v166(constB87)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 50.42/33.39 tff(36212,plain,
% 50.42/33.39 (v241(constB87) | (~v197(constB87))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36211, 15198, 36205])).
% 50.42/33.39 tff(36213,plain,
% 50.42/33.39 (v241(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36212, 36164])).
% 50.42/33.39 tff(36214,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB87)) | (~v223(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB87)) | (~v223(constB87, 2)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36215,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB87)) | (~v223(constB87, 2)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36216,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB87)) | (~v223(constB87, 2))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36215, 36214])).
% 50.42/33.39 tff(36217,plain,
% 50.42/33.39 (~v223(constB87, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36216, 15216, 36213])).
% 50.42/33.39 tff(36218,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB87) | v223(constB87, 2) | (~v242(constB87)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB87) | v223(constB87, 2) | (~v242(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36219,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB87) | v223(constB87, 2) | (~v242(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36220,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB87) | v223(constB87, 2) | (~v242(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36219, 36218])).
% 50.42/33.39 tff(36221,plain,
% 50.42/33.39 (v225(constB87) | (~v242(constB87))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36220, 26831, 36217])).
% 50.42/33.39 tff(36222,plain,
% 50.42/33.39 (~v242(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36221, 36201])).
% 50.42/33.39 tff(36223,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB87) | (~v238(constB87)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB87) | (~v238(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36224,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB87) | (~v238(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36225,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB87) | (~v238(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36224, 36223])).
% 50.42/33.39 tff(36226,plain,
% 50.42/33.39 (~v238(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36225, 26846, 36222])).
% 50.42/33.39 tff(36227,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB87) | (~v237(constB87)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB87) | (~v237(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36228,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB87) | (~v237(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36229,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB87) | (~v237(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36228, 36227])).
% 50.42/33.39 tff(36230,plain,
% 50.42/33.39 (~v237(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36229, 26860, 36226])).
% 50.42/33.39 tff(36231,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB87)) | v223(constB87, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB87)) | v223(constB87, 2))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36232,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB87)) | v223(constB87, 2))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36233,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB87)) | v223(constB87, 2)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36232, 36231])).
% 50.42/33.39 tff(36234,plain,
% 50.42/33.39 (~v224(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36233, 15227, 36217])).
% 50.42/33.39 tff(36235,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB87)) | v223(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB87)) | v223(constB87, 1))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36236,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB87)) | v223(constB87, 1))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36237,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB87)) | v223(constB87, 1)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36236, 36235])).
% 50.42/33.39 tff(36238,plain,
% 50.42/33.39 (~v222(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36237, 26413, 36190])).
% 50.42/33.39 tff(36239,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB87) | v224(constB87) | (~v236(constB87)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB87) | v224(constB87) | (~v236(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36240,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB87) | v224(constB87) | (~v236(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36241,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB87) | v224(constB87) | (~v236(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36240, 36239])).
% 50.42/33.39 tff(36242,plain,
% 50.42/33.39 (~v236(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36241, 15241, 36238, 36234])).
% 50.42/33.39 tff(36243,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB87) | (~v232(constB87)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB87) | (~v232(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36244,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB87) | (~v232(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36245,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB87) | (~v232(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36244, 36243])).
% 50.42/33.39 tff(36246,plain,
% 50.42/33.39 (~v232(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36245, 15255, 36242])).
% 50.42/33.39 tff(36247,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB87) | v237(constB87) | (~v248(constB87)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB87) | v237(constB87) | (~v248(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36248,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB87) | v237(constB87) | (~v248(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36249,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB87) | v237(constB87) | (~v248(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36248, 36247])).
% 50.42/33.39 tff(36250,plain,
% 50.42/33.39 (v237(constB87) | (~v248(constB87))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36249, 15323, 36246])).
% 50.42/33.39 tff(36251,plain,
% 50.42/33.39 (~v248(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36250, 36230])).
% 50.42/33.39 tff(36252,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB87) | (~v244(constB87)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB87) | (~v244(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36253,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB87) | (~v244(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36254,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB87) | (~v244(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36253, 36252])).
% 50.42/33.39 tff(36255,plain,
% 50.42/33.39 (~v244(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36254, 15338, 36251])).
% 50.42/33.39 tff(36256,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB87) | (~v216(constB87, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB87) | (~v216(constB87, 1)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36257,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB87) | (~v216(constB87, 1)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36258,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB87) | (~v216(constB87, 1))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36257, 36256])).
% 50.42/33.39 tff(36259,plain,
% 50.42/33.39 (~v216(constB87, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36258, 15352, 36255])).
% 50.42/33.39 tff(36260,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB87)) | v216(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB87)) | v216(constB87, 1))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36261,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB87)) | v216(constB87, 1))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36262,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB87)) | v216(constB87, 1)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36261, 36260])).
% 50.42/33.39 tff(36263,plain,
% 50.42/33.39 (~v254(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36262, 15363, 36259])).
% 50.42/33.39 tff(36264,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB87) | (~v231(constB87)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB87) | (~v231(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36265,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB87) | (~v231(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36266,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB87) | (~v231(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36265, 36264])).
% 50.42/33.39 tff(36267,plain,
% 50.42/33.39 (~v231(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36266, 26907, 36246])).
% 50.42/33.39 tff(36268,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB87) | (~v221(constB87)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB87) | (~v221(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36269,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB87) | (~v221(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36270,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB87) | (~v221(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36269, 36268])).
% 50.42/33.39 tff(36271,plain,
% 50.42/33.39 (~v221(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36270, 26489, 36238])).
% 50.42/33.39 tff(36272,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB87) | v231(constB87) | (~v243(constB87)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB87) | v231(constB87) | (~v243(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36273,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB87) | v231(constB87) | (~v243(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36274,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB87) | v231(constB87) | (~v243(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36273, 36272])).
% 50.42/33.39 tff(36275,plain,
% 50.42/33.39 (v231(constB87) | (~v243(constB87))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36274, 15405, 36271])).
% 50.42/33.39 tff(36276,plain,
% 50.42/33.39 (~v243(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36275, 36267])).
% 50.42/33.39 tff(36277,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB87) | v255(constB87))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB87) | v255(constB87))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36278,plain,
% 50.42/33.39 ((v255(constB87) | v243(constB87)) <=> (v243(constB87) | v255(constB87))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36279,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB87) | v243(constB87))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB87) | v255(constB87)))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36278])).
% 50.42/33.39 tff(36280,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB87) | v243(constB87))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB87) | v255(constB87))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36279, 36277])).
% 50.42/33.39 tff(36281,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB87) | v243(constB87))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36282,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB87) | v255(constB87)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36281, 36280])).
% 50.42/33.39 tff(36283,plain,
% 50.42/33.39 (v255(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36282, 15416, 36276])).
% 50.42/33.39 tff(36284,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB87)) | (~v216(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB87)) | (~v216(constB87, 2)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36285,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB87)) | (~v216(constB87, 2)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36286,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB87)) | (~v216(constB87, 2))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36285, 36284])).
% 50.42/33.39 tff(36287,plain,
% 50.42/33.39 (~v216(constB87, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36286, 15433, 36283])).
% 50.42/33.39 tff(36288,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB87) | v216(constB87, 2) | (~v215(constB87)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB87) | v216(constB87, 2) | (~v215(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36289,plain,
% 50.42/33.39 ((v216(constB87, 2) | v254(constB87) | (~v215(constB87))) <=> (v254(constB87) | v216(constB87, 2) | (~v215(constB87)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36290,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, 2) | v254(constB87) | (~v215(constB87)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB87) | v216(constB87, 2) | (~v215(constB87))))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36289])).
% 50.42/33.39 tff(36291,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, 2) | v254(constB87) | (~v215(constB87)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB87) | v216(constB87, 2) | (~v215(constB87)))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36290, 36288])).
% 50.42/33.39 tff(36292,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, 2) | v254(constB87) | (~v215(constB87)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36293,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB87) | v216(constB87, 2) | (~v215(constB87))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36292, 36291])).
% 50.42/33.39 tff(36294,plain,
% 50.42/33.39 (v254(constB87) | (~v215(constB87))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36293, 15447, 36287])).
% 50.42/33.39 tff(36295,plain,
% 50.42/33.39 (~v215(constB87)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36294, 36263])).
% 50.42/33.39 tff(36296,plain,
% 50.42/33.39 ($false),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36295, 36122])).
% 50.42/33.39 tff(36297,plain,(~(constB87 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.39 tff(36298,assumption,(constB31 = sK_VarCurr), introduced(assumption)).
% 50.42/33.39 tff(36299,plain,
% 50.42/33.39 (v215(constB31) <=> v215(sK_VarCurr)),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36298])).
% 50.42/33.39 tff(36300,plain,
% 50.42/33.39 (v215(sK_VarCurr) <=> v215(constB31)),
% 50.42/33.39 inference(symmetry,[status(thm)],[36299])).
% 50.42/33.39 tff(36301,plain,
% 50.42/33.39 (v215(constB31)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[34, 36300])).
% 50.42/33.39 tff(36302,plain,
% 50.42/33.39 (v116(constB29)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4226, 29236])).
% 50.42/33.39 tff(36303,plain,
% 50.42/33.39 (v115(constB29)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4233, 238, 36302])).
% 50.42/33.39 tff(36304,plain,
% 50.42/33.39 (v114(constB29)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4240, 252, 36303])).
% 50.42/33.39 tff(36305,plain,
% 50.42/33.39 (v113(constB29)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4247, 266, 36304])).
% 50.42/33.39 tff(36306,plain,
% 50.42/33.39 (v108(constB29)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4273, 36305])).
% 50.42/33.39 tff(36307,plain,
% 50.42/33.39 (v110(constB30)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4284, 36306])).
% 50.42/33.39 tff(36308,plain,
% 50.42/33.39 (v100(constB30)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4310, 36307])).
% 50.42/33.39 tff(36309,plain,
% 50.42/33.39 (v121(constB29)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4196, 990, 29246, 29256, 29236])).
% 50.42/33.39 tff(36310,plain,
% 50.42/33.39 (~v130(constB29, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4380, 1090, 36309])).
% 50.42/33.39 tff(36311,plain,
% 50.42/33.39 (~v127(constB29, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4392, 36310])).
% 50.42/33.39 tff(36312,plain,
% 50.42/33.39 (~v129(constB30, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4397, 36311])).
% 50.42/33.39 tff(36313,plain,
% 50.42/33.39 ((~v90(constB30, 2)) | (~v100(constB30))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4401, 626, 36312])).
% 50.42/33.39 tff(36314,plain,
% 50.42/33.39 (~v90(constB30, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36313, 36308])).
% 50.42/33.39 tff(36315,plain,
% 50.42/33.39 (~v90(constB31, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4429, 36314])).
% 50.42/33.39 tff(36316,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB31, 2)) | v90(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB31, 2)) | v90(constB31, 2))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36317,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB31, 2)) | v90(constB31, 2))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36318,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB31, 2)) | v90(constB31, 2)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36317, 36316])).
% 50.42/33.39 tff(36319,plain,
% 50.42/33.39 (~v88(constB31, 2)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36318, 26020, 36315])).
% 50.42/33.39 tff(36320,plain,
% 50.42/33.39 (v130(constB29, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4464, 1146, 36309])).
% 50.42/33.39 tff(36321,plain,
% 50.42/33.39 (v127(constB29, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4469, 36320])).
% 50.42/33.39 tff(36322,plain,
% 50.42/33.39 (v129(constB30, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4474, 36321])).
% 50.42/33.39 tff(36323,plain,
% 50.42/33.39 (v90(constB30, 1) | (~v100(constB30))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4481, 882, 36322])).
% 50.42/33.39 tff(36324,plain,
% 50.42/33.39 (v90(constB30, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36323, 36308])).
% 50.42/33.39 tff(36325,plain,
% 50.42/33.39 (v90(constB31, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4491, 36324])).
% 50.42/33.39 tff(36326,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB31, 1)) | v88(constB31, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB31, 1)) | v88(constB31, 1))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36327,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB31, 1)) | v88(constB31, 1))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36328,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB31, 1)) | v88(constB31, 1)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36327, 36326])).
% 50.42/33.39 tff(36329,plain,
% 50.42/33.39 (v88(constB31, 1)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36328, 15014, 36325])).
% 50.42/33.39 tff(36330,plain,
% 50.42/33.39 (v130(constB29, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4433, 1184, 36309])).
% 50.42/33.39 tff(36331,plain,
% 50.42/33.39 (v127(constB29, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4438, 36330])).
% 50.42/33.39 tff(36332,plain,
% 50.42/33.39 (v129(constB30, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4443, 36331])).
% 50.42/33.39 tff(36333,plain,
% 50.42/33.39 (v90(constB30, 0) | (~v100(constB30))),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4450, 545, 36332])).
% 50.42/33.39 tff(36334,plain,
% 50.42/33.39 (v90(constB30, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36333, 36308])).
% 50.42/33.39 tff(36335,plain,
% 50.42/33.39 (v90(constB31, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[4460, 36334])).
% 50.42/33.39 tff(36336,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB31, 0)) | v88(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB31, 0)) | v88(constB31, 0))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36337,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB31, 0)) | v88(constB31, 0))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36338,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB31, 0)) | v88(constB31, 0)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36337, 36336])).
% 50.42/33.39 tff(36339,plain,
% 50.42/33.39 (v88(constB31, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36338, 26254, 36335])).
% 50.42/33.39 tff(36340,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB31, 2) | (~v88(constB31, 0)) | (~v88(constB31, 1)) | v141(constB31))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB31, 2) | (~v88(constB31, 0)) | (~v88(constB31, 1)) | v141(constB31))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36341,plain,
% 50.42/33.39 ((v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31)) <=> (v88(constB31, 2) | (~v88(constB31, 0)) | (~v88(constB31, 1)) | v141(constB31))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36342,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB31, 2) | (~v88(constB31, 0)) | (~v88(constB31, 1)) | v141(constB31)))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36341])).
% 50.42/33.39 tff(36343,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB31, 2) | (~v88(constB31, 0)) | (~v88(constB31, 1)) | v141(constB31))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36342, 36340])).
% 50.42/33.39 tff(36344,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36345,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB31, 2) | (~v88(constB31, 0)) | (~v88(constB31, 1)) | v141(constB31)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36344, 36343])).
% 50.42/33.39 tff(36346,plain,
% 50.42/33.39 (v141(constB31)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36345, 26268, 36339, 36329, 36319])).
% 50.42/33.39 tff(36347,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB31) | (~v141(constB31)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB31) | (~v141(constB31)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36348,plain,
% 50.42/33.39 (((~v141(constB31)) | v199(constB31)) <=> (v199(constB31) | (~v141(constB31)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36349,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB31)) | v199(constB31))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (v199(constB31) | (~v141(constB31))))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36348])).
% 50.42/33.39 tff(36350,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB31)) | v199(constB31))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB31) | (~v141(constB31)))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36349, 36347])).
% 50.42/33.39 tff(36351,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB31)) | v199(constB31))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36352,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | v199(constB31) | (~v141(constB31))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36351, 36350])).
% 50.42/33.39 tff(36353,plain,
% 50.42/33.39 (v199(constB31)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36352, 26282, 36346])).
% 50.42/33.39 tff(36354,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB31)) | v198(constB31))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB31)) | v198(constB31))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36355,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB31)) | v198(constB31))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36356,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (~v199(constB31)) | v198(constB31)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36355, 36354])).
% 50.42/33.39 tff(36357,plain,
% 50.42/33.39 (v198(constB31)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36356, 26293, 36353])).
% 50.42/33.39 tff(36358,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB31)) | (~v201(constB31)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB31)) | (~v201(constB31)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36359,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB31)) | (~v201(constB31)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36360,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB31)) | (~v201(constB31))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36359, 36358])).
% 50.42/33.39 tff(36361,plain,
% 50.42/33.39 (~v201(constB31)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36360, 15064, 36357])).
% 50.42/33.39 tff(36362,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB31) | (~v198(constB31)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB31) | (~v198(constB31)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36363,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB31) | (~v198(constB31)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36364,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB31) | (~v198(constB31))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36363, 36362])).
% 50.42/33.39 tff(36365,plain,
% 50.42/33.39 (v197(constB31)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36364, 15078, 36357])).
% 50.42/33.39 tff(36366,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB31) | (~v197(constB31)) | v201(constB31))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB31) | (~v197(constB31)) | v201(constB31))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36367,plain,
% 50.42/33.39 (((~v197(constB31)) | v201(constB31) | v227(constB31)) <=> (v227(constB31) | (~v197(constB31)) | v201(constB31))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36368,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB31)) | v201(constB31) | v227(constB31))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB31) | (~v197(constB31)) | v201(constB31)))),
% 50.42/33.39 inference(monotonicity,[status(thm)],[36367])).
% 50.42/33.39 tff(36369,plain,
% 50.42/33.39 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB31)) | v201(constB31) | v227(constB31))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB31) | (~v197(constB31)) | v201(constB31))),
% 50.42/33.39 inference(transitivity,[status(thm)],[36368, 36366])).
% 50.42/33.39 tff(36370,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB31)) | v201(constB31) | v227(constB31))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36371,plain,
% 50.42/33.39 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB31) | (~v197(constB31)) | v201(constB31)),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36370, 36369])).
% 50.42/33.39 tff(36372,plain,
% 50.42/33.39 (v227(constB31)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36371, 15092, 36365, 36361])).
% 50.42/33.39 tff(36373,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB31)) | (~v223(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB31)) | (~v223(constB31, 0)))),
% 50.42/33.39 inference(rewrite,[status(thm)],[])).
% 50.42/33.39 tff(36374,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB31)) | (~v223(constB31, 0)))),
% 50.42/33.39 inference(quant_inst,[status(thm)],[])).
% 50.42/33.39 tff(36375,plain,
% 50.42/33.39 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB31)) | (~v223(constB31, 0))),
% 50.42/33.39 inference(modus_ponens,[status(thm)],[36374, 36373])).
% 50.42/33.39 tff(36376,plain,
% 50.42/33.39 (~v223(constB31, 0)),
% 50.42/33.39 inference(unit_resolution,[status(thm)],[36375, 15109, 36372])).
% 50.42/33.39 tff(36377,plain,
% 50.42/33.39 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB31)) | (~v199(constB31)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB31)) | (~v199(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36378,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB31)) | (~v199(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36379,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB31)) | (~v199(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36378, 36377])).
% 50.42/33.40 tff(36380,plain,
% 50.42/33.40 (~v183(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36379, 26326, 36353])).
% 50.42/33.40 tff(36381,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB31) | (~v197(constB31)) | v183(constB31))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB31) | (~v197(constB31)) | v183(constB31))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36382,plain,
% 50.42/33.40 (((~v197(constB31)) | v183(constB31) | v228(constB31)) <=> (v228(constB31) | (~v197(constB31)) | v183(constB31))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36383,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB31)) | v183(constB31) | v228(constB31))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB31) | (~v197(constB31)) | v183(constB31)))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36382])).
% 50.42/33.40 tff(36384,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB31)) | v183(constB31) | v228(constB31))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB31) | (~v197(constB31)) | v183(constB31))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36383, 36381])).
% 50.42/33.40 tff(36385,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB31)) | v183(constB31) | v228(constB31))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36386,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB31) | (~v197(constB31)) | v183(constB31)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36385, 36384])).
% 50.42/33.40 tff(36387,plain,
% 50.42/33.40 (v228(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36386, 26340, 36365, 36380])).
% 50.42/33.40 tff(36388,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB31)) | (~v223(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB31)) | (~v223(constB31, 1)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36389,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB31)) | (~v223(constB31, 1)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36390,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB31)) | (~v223(constB31, 1))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36389, 36388])).
% 50.42/33.40 tff(36391,plain,
% 50.42/33.40 (~v223(constB31, 1)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36390, 26357, 36387])).
% 50.42/33.40 tff(36392,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB31, 1) | v223(constB31, 0) | (~v229(constB31)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB31, 1) | v223(constB31, 0) | (~v229(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36393,plain,
% 50.42/33.40 ((v223(constB31, 0) | v223(constB31, 1) | (~v229(constB31))) <=> (v223(constB31, 1) | v223(constB31, 0) | (~v229(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36394,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB31, 0) | v223(constB31, 1) | (~v229(constB31)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB31, 1) | v223(constB31, 0) | (~v229(constB31))))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36393])).
% 50.42/33.40 tff(36395,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB31, 0) | v223(constB31, 1) | (~v229(constB31)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB31, 1) | v223(constB31, 0) | (~v229(constB31)))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36394, 36392])).
% 50.42/33.40 tff(36396,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB31, 0) | v223(constB31, 1) | (~v229(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36397,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB31, 1) | v223(constB31, 0) | (~v229(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36396, 36395])).
% 50.42/33.40 tff(36398,plain,
% 50.42/33.40 (~v229(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36397, 26371, 36391, 36376])).
% 50.42/33.40 tff(36399,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB31) | (~v225(constB31)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB31) | (~v225(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36400,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB31) | (~v225(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36401,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB31) | (~v225(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36400, 36399])).
% 50.42/33.40 tff(36402,plain,
% 50.42/33.40 (~v225(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36401, 26388, 36398])).
% 50.42/33.40 tff(36403,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB31) | (~v224(constB31)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB31) | (~v224(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36404,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB31) | (~v224(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36405,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB31) | (~v224(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36404, 36403])).
% 50.42/33.40 tff(36406,plain,
% 50.42/33.40 (~v224(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36405, 26402, 36402])).
% 50.42/33.40 tff(36407,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB31)) | v223(constB31, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB31)) | v223(constB31, 1))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36408,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB31)) | v223(constB31, 1))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36409,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB31)) | v223(constB31, 1)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36408, 36407])).
% 50.42/33.40 tff(36410,plain,
% 50.42/33.40 (~v222(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36409, 26413, 36391])).
% 50.42/33.40 tff(36411,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB31) | v224(constB31) | (~v236(constB31)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB31) | v224(constB31) | (~v236(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36412,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB31) | v224(constB31) | (~v236(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36413,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB31) | v224(constB31) | (~v236(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36412, 36411])).
% 50.42/33.40 tff(36414,plain,
% 50.42/33.40 (v224(constB31) | (~v236(constB31))),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36413, 15241, 36410])).
% 50.42/33.40 tff(36415,plain,
% 50.42/33.40 (~v236(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36414, 36406])).
% 50.42/33.40 tff(36416,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB31) | (~v232(constB31)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB31) | (~v232(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36417,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB31) | (~v232(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36418,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB31) | (~v232(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36417, 36416])).
% 50.42/33.40 tff(36419,plain,
% 50.42/33.40 (~v232(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36418, 15255, 36415])).
% 50.42/33.40 tff(36420,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB31)) | (~v88(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB31)) | (~v88(constB31, 1)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36421,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB31)) | (~v88(constB31, 1)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36422,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB31)) | (~v88(constB31, 1))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36421, 36420])).
% 50.42/33.40 tff(36423,plain,
% 50.42/33.40 (~v140(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36422, 15142, 36329])).
% 50.42/33.40 tff(36424,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB31)) | (~v88(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB31)) | (~v88(constB31, 0)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36425,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB31)) | (~v88(constB31, 0)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36426,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB31)) | (~v88(constB31, 0))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36425, 36424])).
% 50.42/33.40 tff(36427,plain,
% 50.42/33.40 (~v139(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36426, 26437, 36339])).
% 50.42/33.40 tff(36428,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v148(constB31)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB31) | v140(constB31) | (~v148(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36429,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v148(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36430,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB31) | v140(constB31) | (~v148(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36429, 36428])).
% 50.42/33.40 tff(36431,plain,
% 50.42/33.40 (~v148(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36430, 15269, 36427, 36423])).
% 50.42/33.40 tff(36432,plain,
% 50.42/33.40 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB31) | v252(constB31) | (~v197(constB31)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB31) | v252(constB31) | (~v197(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36433,plain,
% 50.42/33.40 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB31) | v252(constB31) | (~v197(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36434,plain,
% 50.42/33.40 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB31) | v252(constB31) | (~v197(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36433, 36432])).
% 50.42/33.40 tff(36435,plain,
% 50.42/33.40 (v252(constB31) | (~v197(constB31))),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36434, 15283, 36431])).
% 50.42/33.40 tff(36436,plain,
% 50.42/33.40 (v252(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36435, 36365])).
% 50.42/33.40 tff(36437,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB31)) | (~v223(constB31, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB31)) | (~v223(constB31, 3)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36438,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB31)) | (~v223(constB31, 3)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36439,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB31)) | (~v223(constB31, 3))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36438, 36437])).
% 50.42/33.40 tff(36440,plain,
% 50.42/33.40 (~v223(constB31, 3)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36439, 15298, 36436])).
% 50.42/33.40 tff(36441,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB31)) | v223(constB31, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB31)) | v223(constB31, 3))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36442,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB31)) | v223(constB31, 3))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36443,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB31)) | v223(constB31, 3)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36442, 36441])).
% 50.42/33.40 tff(36444,plain,
% 50.42/33.40 (~v237(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36443, 15309, 36440])).
% 50.42/33.40 tff(36445,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB31) | v237(constB31) | (~v248(constB31)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB31) | v237(constB31) | (~v248(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36446,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB31) | v237(constB31) | (~v248(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36447,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB31) | v237(constB31) | (~v248(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36446, 36445])).
% 50.42/33.40 tff(36448,plain,
% 50.42/33.40 (v232(constB31) | (~v248(constB31))),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36447, 15323, 36444])).
% 50.42/33.40 tff(36449,plain,
% 50.42/33.40 (~v248(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36448, 36419])).
% 50.42/33.40 tff(36450,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB31) | (~v244(constB31)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB31) | (~v244(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36451,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB31) | (~v244(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36452,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB31) | (~v244(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36451, 36450])).
% 50.42/33.40 tff(36453,plain,
% 50.42/33.40 (~v244(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36452, 15338, 36449])).
% 50.42/33.40 tff(36454,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB31) | (~v216(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB31) | (~v216(constB31, 1)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36455,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB31) | (~v216(constB31, 1)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36456,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB31) | (~v216(constB31, 1))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36455, 36454])).
% 50.42/33.40 tff(36457,plain,
% 50.42/33.40 (~v216(constB31, 1)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36456, 15352, 36453])).
% 50.42/33.40 tff(36458,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB31)) | v216(constB31, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB31)) | v216(constB31, 1))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36459,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB31)) | v216(constB31, 1))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36460,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB31)) | v216(constB31, 1)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36459, 36458])).
% 50.42/33.40 tff(36461,plain,
% 50.42/33.40 (~v254(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36460, 15363, 36457])).
% 50.42/33.40 tff(36462,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB31) | (~v231(constB31)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB31) | (~v231(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36463,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB31) | (~v231(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36464,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB31) | (~v231(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36463, 36462])).
% 50.42/33.40 tff(36465,plain,
% 50.42/33.40 (~v231(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36464, 15391, 36444])).
% 50.42/33.40 tff(36466,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB31) | (~v221(constB31)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB31) | (~v221(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36467,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB31) | (~v221(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36468,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB31) | (~v221(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36467, 36466])).
% 50.42/33.40 tff(36469,plain,
% 50.42/33.40 (~v221(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36468, 26489, 36410])).
% 50.42/33.40 tff(36470,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB31) | v231(constB31) | (~v243(constB31)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB31) | v231(constB31) | (~v243(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36471,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB31) | v231(constB31) | (~v243(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36472,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB31) | v231(constB31) | (~v243(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36471, 36470])).
% 50.42/33.40 tff(36473,plain,
% 50.42/33.40 (~v243(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36472, 15405, 36469, 36465])).
% 50.42/33.40 tff(36474,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB31) | v255(constB31))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB31) | v255(constB31))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36475,plain,
% 50.42/33.40 ((v255(constB31) | v243(constB31)) <=> (v243(constB31) | v255(constB31))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36476,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB31) | v243(constB31))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB31) | v255(constB31)))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36475])).
% 50.42/33.40 tff(36477,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB31) | v243(constB31))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB31) | v255(constB31))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36476, 36474])).
% 50.42/33.40 tff(36478,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB31) | v243(constB31))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36479,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB31) | v255(constB31)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36478, 36477])).
% 50.42/33.40 tff(36480,plain,
% 50.42/33.40 (v255(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36479, 15416, 36473])).
% 50.42/33.40 tff(36481,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB31)) | (~v216(constB31, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB31)) | (~v216(constB31, 2)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36482,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB31)) | (~v216(constB31, 2)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36483,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB31)) | (~v216(constB31, 2))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36482, 36481])).
% 50.42/33.40 tff(36484,plain,
% 50.42/33.40 (~v216(constB31, 2)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36483, 15433, 36480])).
% 50.42/33.40 tff(36485,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB31, 2) | v254(constB31) | (~v215(constB31)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB31, 2) | v254(constB31) | (~v215(constB31)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36486,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB31, 2) | v254(constB31) | (~v215(constB31)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36487,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB31, 2) | v254(constB31) | (~v215(constB31))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36486, 36485])).
% 50.42/33.40 tff(36488,plain,
% 50.42/33.40 (v254(constB31) | (~v215(constB31))),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36487, 15447, 36484])).
% 50.42/33.40 tff(36489,plain,
% 50.42/33.40 (~v215(constB31)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36488, 36461])).
% 50.42/33.40 tff(36490,plain,
% 50.42/33.40 ($false),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36489, 36301])).
% 50.42/33.40 tff(36491,plain,(~(constB31 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.40 tff(36492,assumption,(constB159 = sK_VarCurr), introduced(assumption)).
% 50.42/33.40 tff(36493,plain,
% 50.42/33.40 (v215(constB159) <=> v215(sK_VarCurr)),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36492])).
% 50.42/33.40 tff(36494,plain,
% 50.42/33.40 (v215(sK_VarCurr) <=> v215(constB159)),
% 50.42/33.40 inference(symmetry,[status(thm)],[36493])).
% 50.42/33.40 tff(36495,plain,
% 50.42/33.40 (v215(constB159)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[34, 36494])).
% 50.42/33.40 tff(36496,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB159, 2)) | v90(constB159, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB159, 2)) | v90(constB159, 2))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36497,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB159, 2)) | v90(constB159, 2))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36498,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB159, 2)) | v90(constB159, 2)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36497, 36496])).
% 50.42/33.40 tff(36499,plain,
% 50.42/33.40 (~v88(constB159, 2)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36498, 26020, 30471])).
% 50.42/33.40 tff(36500,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB159, 1)) | v90(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB159, 1)) | v90(constB159, 1))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36501,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB159, 1)) | v90(constB159, 1))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36502,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB159, 1)) | v90(constB159, 1)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36501, 36500])).
% 50.42/33.40 tff(36503,plain,
% 50.42/33.40 (~v88(constB159, 1)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36502, 26697, 30477])).
% 50.42/33.40 tff(36504,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB159, 0)) | v88(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB159, 0)) | v88(constB159, 0))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36505,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB159, 0)) | v88(constB159, 0))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36506,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB159, 0)) | v88(constB159, 0)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36505, 36504])).
% 50.42/33.40 tff(36507,plain,
% 50.42/33.40 (v88(constB159, 0)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36506, 26254, 30483])).
% 50.42/33.40 tff(36508,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB159, 2) | v88(constB159, 1) | (~v88(constB159, 0)) | v140(constB159))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB159, 2) | v88(constB159, 1) | (~v88(constB159, 0)) | v140(constB159))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36509,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB159, 2) | v88(constB159, 1) | (~v88(constB159, 0)) | v140(constB159))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36510,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB159, 2) | v88(constB159, 1) | (~v88(constB159, 0)) | v140(constB159)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36509, 36508])).
% 50.42/33.40 tff(36511,plain,
% 50.42/33.40 (v140(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36510, 26719, 36507, 36503, 36499])).
% 50.42/33.40 tff(36512,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB159)) | v200(constB159))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB159)) | v200(constB159))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36513,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | ((~v140(constB159)) | v200(constB159))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36514,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v200(VarCurr))) | (~v140(constB159)) | v200(constB159)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36513, 36512])).
% 50.42/33.40 tff(36515,plain,
% 50.42/33.40 (v200(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36514, 26731, 36511])).
% 50.42/33.40 tff(36516,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB159) | (~v200(constB159)))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB159) | (~v200(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36517,plain,
% 50.42/33.40 (((~v200(constB159)) | v199(constB159)) <=> (v199(constB159) | (~v200(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36518,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB159)) | v199(constB159))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | (v199(constB159) | (~v200(constB159))))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36517])).
% 50.42/33.40 tff(36519,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB159)) | v199(constB159))) <=> ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB159) | (~v200(constB159)))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36518, 36516])).
% 50.42/33.40 tff(36520,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | ((~v200(constB159)) | v199(constB159))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36521,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v200(VarCurr)) | v199(VarCurr))) | v199(constB159) | (~v200(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36520, 36519])).
% 50.42/33.40 tff(36522,plain,
% 50.42/33.40 (v199(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36521, 26742, 36515])).
% 50.42/33.40 tff(36523,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB159) | (~v199(constB159)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB159) | (~v199(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36524,plain,
% 50.42/33.40 (((~v199(constB159)) | v198(constB159)) <=> (v198(constB159) | (~v199(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36525,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB159)) | v198(constB159))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB159) | (~v199(constB159))))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36524])).
% 50.42/33.40 tff(36526,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB159)) | v198(constB159))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB159) | (~v199(constB159)))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36525, 36523])).
% 50.42/33.40 tff(36527,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB159)) | v198(constB159))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36528,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB159) | (~v199(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36527, 36526])).
% 50.42/33.40 tff(36529,plain,
% 50.42/33.40 (v198(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36528, 26293, 36522])).
% 50.42/33.40 tff(36530,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB159)) | (~v201(constB159)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB159)) | (~v201(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36531,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB159)) | (~v201(constB159)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36532,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB159)) | (~v201(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36531, 36530])).
% 50.42/33.40 tff(36533,plain,
% 50.42/33.40 (~v201(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36532, 15064, 36529])).
% 50.42/33.40 tff(36534,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB159) | (~v198(constB159)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB159) | (~v198(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36535,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB159) | (~v198(constB159)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36536,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB159) | (~v198(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36535, 36534])).
% 50.42/33.40 tff(36537,plain,
% 50.42/33.40 (v197(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36536, 15078, 36529])).
% 50.42/33.40 tff(36538,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB159) | v201(constB159) | (~v197(constB159)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB159) | v201(constB159) | (~v197(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36539,plain,
% 50.42/33.40 (((~v197(constB159)) | v201(constB159) | v227(constB159)) <=> (v227(constB159) | v201(constB159) | (~v197(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36540,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB159)) | v201(constB159) | v227(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB159) | v201(constB159) | (~v197(constB159))))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36539])).
% 50.42/33.40 tff(36541,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB159)) | v201(constB159) | v227(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB159) | v201(constB159) | (~v197(constB159)))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36540, 36538])).
% 50.42/33.40 tff(36542,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB159)) | v201(constB159) | v227(constB159))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36543,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB159) | v201(constB159) | (~v197(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36542, 36541])).
% 50.42/33.40 tff(36544,plain,
% 50.42/33.40 (v227(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36543, 15092, 36537, 36533])).
% 50.42/33.40 tff(36545,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB159)) | (~v223(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB159)) | (~v223(constB159, 0)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36546,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB159)) | (~v223(constB159, 0)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36547,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB159)) | (~v223(constB159, 0))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36546, 36545])).
% 50.42/33.40 tff(36548,plain,
% 50.42/33.40 (~v223(constB159, 0)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36547, 15109, 36544])).
% 50.42/33.40 tff(36549,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB159)) | (~v199(constB159)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB159)) | (~v199(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36550,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB159)) | (~v199(constB159)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36551,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB159)) | (~v199(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36550, 36549])).
% 50.42/33.40 tff(36552,plain,
% 50.42/33.40 (~v183(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36551, 26326, 36522])).
% 50.42/33.40 tff(36553,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB159) | (~v197(constB159)) | v183(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB159) | (~v197(constB159)) | v183(constB159))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36554,plain,
% 50.42/33.40 (((~v197(constB159)) | v183(constB159) | v228(constB159)) <=> (v228(constB159) | (~v197(constB159)) | v183(constB159))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36555,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB159)) | v183(constB159) | v228(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB159) | (~v197(constB159)) | v183(constB159)))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36554])).
% 50.42/33.40 tff(36556,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB159)) | v183(constB159) | v228(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB159) | (~v197(constB159)) | v183(constB159))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36555, 36553])).
% 50.42/33.40 tff(36557,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB159)) | v183(constB159) | v228(constB159))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36558,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB159) | (~v197(constB159)) | v183(constB159)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36557, 36556])).
% 50.42/33.40 tff(36559,plain,
% 50.42/33.40 (v228(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36558, 26340, 36537, 36552])).
% 50.42/33.40 tff(36560,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB159)) | (~v223(constB159, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB159)) | (~v223(constB159, 1)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36561,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB159)) | (~v223(constB159, 1)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36562,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB159)) | (~v223(constB159, 1))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36561, 36560])).
% 50.42/33.40 tff(36563,plain,
% 50.42/33.40 (~v223(constB159, 1)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36562, 26357, 36559])).
% 50.42/33.40 tff(36564,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB159, 0) | (~v229(constB159)) | v223(constB159, 1))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB159, 0) | (~v229(constB159)) | v223(constB159, 1))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36565,plain,
% 50.42/33.40 ((v223(constB159, 0) | v223(constB159, 1) | (~v229(constB159))) <=> (v223(constB159, 0) | (~v229(constB159)) | v223(constB159, 1))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36566,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB159, 0) | v223(constB159, 1) | (~v229(constB159)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB159, 0) | (~v229(constB159)) | v223(constB159, 1)))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36565])).
% 50.42/33.40 tff(36567,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB159, 0) | v223(constB159, 1) | (~v229(constB159)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB159, 0) | (~v229(constB159)) | v223(constB159, 1))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36566, 36564])).
% 50.42/33.40 tff(36568,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB159, 0) | v223(constB159, 1) | (~v229(constB159)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36569,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB159, 0) | (~v229(constB159)) | v223(constB159, 1)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36568, 36567])).
% 50.42/33.40 tff(36570,plain,
% 50.42/33.40 (~v229(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36569, 26371, 36563, 36548])).
% 50.42/33.40 tff(36571,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB159) | (~v225(constB159)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB159) | (~v225(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36572,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB159) | (~v225(constB159)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36573,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB159) | (~v225(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36572, 36571])).
% 50.42/33.40 tff(36574,plain,
% 50.42/33.40 (~v225(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36573, 26388, 36570])).
% 50.42/33.40 tff(36575,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB159)) | (~v200(constB159)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB159)) | (~v200(constB159)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36576,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB159)) | (~v200(constB159)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36577,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB159)) | (~v200(constB159))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36576, 36575])).
% 50.42/33.40 tff(36578,plain,
% 50.42/33.40 (~v166(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36577, 26805, 36515])).
% 50.42/33.40 tff(36579,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB159) | (~v197(constB159)) | v166(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | (~v197(constB159)) | v166(constB159))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36580,plain,
% 50.42/33.40 (((~v197(constB159)) | v166(constB159) | v241(constB159)) <=> (v241(constB159) | (~v197(constB159)) | v166(constB159))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36581,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB159) | (~v197(constB159)) | v166(constB159)))),
% 50.42/33.40 inference(monotonicity,[status(thm)],[36580])).
% 50.42/33.40 tff(36582,plain,
% 50.42/33.40 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | (~v197(constB159)) | v166(constB159))),
% 50.42/33.40 inference(transitivity,[status(thm)],[36581, 36579])).
% 50.42/33.40 tff(36583,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36584,plain,
% 50.42/33.40 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | (~v197(constB159)) | v166(constB159)),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36583, 36582])).
% 50.42/33.40 tff(36585,plain,
% 50.42/33.40 (v241(constB159) | (~v197(constB159))),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36584, 15198, 36578])).
% 50.42/33.40 tff(36586,plain,
% 50.42/33.40 (v241(constB159)),
% 50.42/33.40 inference(unit_resolution,[status(thm)],[36585, 36537])).
% 50.42/33.40 tff(36587,plain,
% 50.42/33.40 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB159)) | (~v223(constB159, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB159)) | (~v223(constB159, 2)))),
% 50.42/33.40 inference(rewrite,[status(thm)],[])).
% 50.42/33.40 tff(36588,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB159)) | (~v223(constB159, 2)))),
% 50.42/33.40 inference(quant_inst,[status(thm)],[])).
% 50.42/33.40 tff(36589,plain,
% 50.42/33.40 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB159)) | (~v223(constB159, 2))),
% 50.42/33.40 inference(modus_ponens,[status(thm)],[36588, 36587])).
% 50.42/33.40 tff(36590,plain,
% 50.42/33.40 (~v223(constB159, 2)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36589, 15216, 36586])).
% 50.42/33.41 tff(36591,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB159) | v223(constB159, 2) | (~v242(constB159)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB159) | v223(constB159, 2) | (~v242(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36592,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | (v225(constB159) | v223(constB159, 2) | (~v242(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36593,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v225(VarCurr) | v223(VarCurr, 2) | (~v242(VarCurr)))) | v225(constB159) | v223(constB159, 2) | (~v242(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36592, 36591])).
% 50.42/33.41 tff(36594,plain,
% 50.42/33.41 (v225(constB159) | (~v242(constB159))),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36593, 26831, 36590])).
% 50.42/33.41 tff(36595,plain,
% 50.42/33.41 (~v242(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36594, 36574])).
% 50.42/33.41 tff(36596,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB159) | (~v238(constB159)))) <=> ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB159) | (~v238(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36597,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB159) | (~v238(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36598,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB159) | (~v238(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36597, 36596])).
% 50.42/33.41 tff(36599,plain,
% 50.42/33.41 (~v238(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36598, 26846, 36595])).
% 50.42/33.41 tff(36600,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB159) | (~v237(constB159)))) <=> ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB159) | (~v237(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36601,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB159) | (~v237(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36602,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB159) | (~v237(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36601, 36600])).
% 50.42/33.41 tff(36603,plain,
% 50.42/33.41 (~v237(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36602, 26860, 36599])).
% 50.42/33.41 tff(36604,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB159)) | v223(constB159, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB159)) | v223(constB159, 2))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36605,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB159)) | v223(constB159, 2))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36606,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB159)) | v223(constB159, 2)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36605, 36604])).
% 50.42/33.41 tff(36607,plain,
% 50.42/33.41 (~v224(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36606, 15227, 36590])).
% 50.42/33.41 tff(36608,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB159)) | v223(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB159)) | v223(constB159, 1))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36609,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB159)) | v223(constB159, 1))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36610,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB159)) | v223(constB159, 1)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36609, 36608])).
% 50.42/33.41 tff(36611,plain,
% 50.42/33.41 (~v222(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36610, 26413, 36563])).
% 50.42/33.41 tff(36612,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB159) | v224(constB159) | (~v236(constB159)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB159) | v224(constB159) | (~v236(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36613,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB159) | v224(constB159) | (~v236(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36614,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB159) | v224(constB159) | (~v236(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36613, 36612])).
% 50.42/33.41 tff(36615,plain,
% 50.42/33.41 (~v236(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36614, 15241, 36611, 36607])).
% 50.42/33.41 tff(36616,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB159) | (~v232(constB159)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB159) | (~v232(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36617,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB159) | (~v232(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36618,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB159) | (~v232(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36617, 36616])).
% 50.42/33.41 tff(36619,plain,
% 50.42/33.41 (~v232(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36618, 15255, 36615])).
% 50.42/33.41 tff(36620,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB159) | v237(constB159) | (~v248(constB159)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB159) | v237(constB159) | (~v248(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36621,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB159) | v237(constB159) | (~v248(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36622,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB159) | v237(constB159) | (~v248(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36621, 36620])).
% 50.42/33.41 tff(36623,plain,
% 50.42/33.41 (v237(constB159) | (~v248(constB159))),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36622, 15323, 36619])).
% 50.42/33.41 tff(36624,plain,
% 50.42/33.41 (~v248(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36623, 36603])).
% 50.42/33.41 tff(36625,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB159) | (~v244(constB159)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB159) | (~v244(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36626,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB159) | (~v244(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36627,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB159) | (~v244(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36626, 36625])).
% 50.42/33.41 tff(36628,plain,
% 50.42/33.41 (~v244(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36627, 15338, 36624])).
% 50.42/33.41 tff(36629,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB159) | (~v216(constB159, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB159) | (~v216(constB159, 1)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36630,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB159) | (~v216(constB159, 1)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36631,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB159) | (~v216(constB159, 1))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36630, 36629])).
% 50.42/33.41 tff(36632,plain,
% 50.42/33.41 (~v216(constB159, 1)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36631, 15352, 36628])).
% 50.42/33.41 tff(36633,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB159)) | v216(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB159)) | v216(constB159, 1))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36634,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB159)) | v216(constB159, 1))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36635,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB159)) | v216(constB159, 1)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36634, 36633])).
% 50.42/33.41 tff(36636,plain,
% 50.42/33.41 (~v254(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36635, 15363, 36632])).
% 50.42/33.41 tff(36637,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB159) | (~v231(constB159)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB159) | (~v231(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36638,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB159) | (~v231(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36639,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB159) | (~v231(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36638, 36637])).
% 50.42/33.41 tff(36640,plain,
% 50.42/33.41 (~v231(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36639, 26907, 36619])).
% 50.42/33.41 tff(36641,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB159) | (~v221(constB159)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB159) | (~v221(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36642,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB159) | (~v221(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36643,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB159) | (~v221(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36642, 36641])).
% 50.42/33.41 tff(36644,plain,
% 50.42/33.41 (~v221(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36643, 26489, 36611])).
% 50.42/33.41 tff(36645,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB159) | v231(constB159) | (~v243(constB159)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB159) | v231(constB159) | (~v243(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36646,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB159) | v231(constB159) | (~v243(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36647,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB159) | v231(constB159) | (~v243(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36646, 36645])).
% 50.42/33.41 tff(36648,plain,
% 50.42/33.41 (v231(constB159) | (~v243(constB159))),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36647, 15405, 36644])).
% 50.42/33.41 tff(36649,plain,
% 50.42/33.41 (~v243(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36648, 36640])).
% 50.42/33.41 tff(36650,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB159) | v255(constB159))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB159) | v255(constB159))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36651,plain,
% 50.42/33.41 ((v255(constB159) | v243(constB159)) <=> (v243(constB159) | v255(constB159))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36652,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB159) | v243(constB159))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB159) | v255(constB159)))),
% 50.42/33.41 inference(monotonicity,[status(thm)],[36651])).
% 50.42/33.41 tff(36653,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB159) | v243(constB159))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB159) | v255(constB159))),
% 50.42/33.41 inference(transitivity,[status(thm)],[36652, 36650])).
% 50.42/33.41 tff(36654,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB159) | v243(constB159))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36655,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB159) | v255(constB159)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36654, 36653])).
% 50.42/33.41 tff(36656,plain,
% 50.42/33.41 (v255(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36655, 15416, 36649])).
% 50.42/33.41 tff(36657,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB159)) | (~v216(constB159, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB159)) | (~v216(constB159, 2)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36658,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB159)) | (~v216(constB159, 2)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36659,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB159)) | (~v216(constB159, 2))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36658, 36657])).
% 50.42/33.41 tff(36660,plain,
% 50.42/33.41 (~v216(constB159, 2)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36659, 15433, 36656])).
% 50.42/33.41 tff(36661,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB159, 2) | v254(constB159) | (~v215(constB159)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB159, 2) | v254(constB159) | (~v215(constB159)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36662,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB159, 2) | v254(constB159) | (~v215(constB159)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36663,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB159, 2) | v254(constB159) | (~v215(constB159))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36662, 36661])).
% 50.42/33.41 tff(36664,plain,
% 50.42/33.41 (v254(constB159) | (~v215(constB159))),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36663, 15447, 36660])).
% 50.42/33.41 tff(36665,plain,
% 50.42/33.41 (~v215(constB159)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36664, 36636])).
% 50.42/33.41 tff(36666,plain,
% 50.42/33.41 ($false),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36665, 36495])).
% 50.42/33.41 tff(36667,plain,(~(constB159 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.41 tff(36668,assumption,(constB139 = sK_VarCurr), introduced(assumption)).
% 50.42/33.41 tff(36669,plain,
% 50.42/33.41 (v215(constB139) <=> v215(sK_VarCurr)),
% 50.42/33.41 inference(monotonicity,[status(thm)],[36668])).
% 50.42/33.41 tff(36670,plain,
% 50.42/33.41 (v215(sK_VarCurr) <=> v215(constB139)),
% 50.42/33.41 inference(symmetry,[status(thm)],[36669])).
% 50.42/33.41 tff(36671,plain,
% 50.42/33.41 (v215(constB139)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[34, 36670])).
% 50.42/33.41 tff(36672,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB139, 2)) | v90(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB139, 2)) | v90(constB139, 2))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36673,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB139, 2)) | v90(constB139, 2))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36674,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB139, 2)) | v90(constB139, 2)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36673, 36672])).
% 50.42/33.41 tff(36675,plain,
% 50.42/33.41 (~v88(constB139, 2)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36674, 26020, 17950])).
% 50.42/33.41 tff(36676,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB139, 1)) | v88(constB139, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB139, 1)) | v88(constB139, 1))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36677,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB139, 1)) | v88(constB139, 1))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36678,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB139, 1)) | v88(constB139, 1)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36677, 36676])).
% 50.42/33.41 tff(36679,plain,
% 50.42/33.41 (v88(constB139, 1)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36678, 15014, 17981])).
% 50.42/33.41 tff(36680,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB139, 0)) | v88(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB139, 0)) | v88(constB139, 0))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36681,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB139, 0)) | v88(constB139, 0))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36682,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB139, 0)) | v88(constB139, 0)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36681, 36680])).
% 50.42/33.41 tff(36683,plain,
% 50.42/33.41 (v88(constB139, 0)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36682, 26254, 18012])).
% 50.42/33.41 tff(36684,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36685,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36686,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36685, 36684])).
% 50.42/33.41 tff(36687,plain,
% 50.42/33.41 (v141(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36686, 26268, 36683, 36679, 36675])).
% 50.42/33.41 tff(36688,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB139)) | v199(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB139)) | v199(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36689,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | ((~v141(constB139)) | v199(constB139))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36690,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v199(VarCurr))) | (~v141(constB139)) | v199(constB139)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36689, 36688])).
% 50.42/33.41 tff(36691,plain,
% 50.42/33.41 (v199(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36690, 26282, 36687])).
% 50.42/33.41 tff(36692,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB139) | (~v199(constB139)))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB139) | (~v199(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36693,plain,
% 50.42/33.41 (((~v199(constB139)) | v198(constB139)) <=> (v198(constB139) | (~v199(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36694,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB139)) | v198(constB139))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | (v198(constB139) | (~v199(constB139))))),
% 50.42/33.41 inference(monotonicity,[status(thm)],[36693])).
% 50.42/33.41 tff(36695,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB139)) | v198(constB139))) <=> ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB139) | (~v199(constB139)))),
% 50.42/33.41 inference(transitivity,[status(thm)],[36694, 36692])).
% 50.42/33.41 tff(36696,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | ((~v199(constB139)) | v198(constB139))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36697,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v199(VarCurr)) | v198(VarCurr))) | v198(constB139) | (~v199(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36696, 36695])).
% 50.42/33.41 tff(36698,plain,
% 50.42/33.41 (v198(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36697, 26293, 36691])).
% 50.42/33.41 tff(36699,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB139)) | (~v201(constB139)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB139)) | (~v201(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36700,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB139)) | (~v201(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36701,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB139)) | (~v201(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36700, 36699])).
% 50.42/33.41 tff(36702,plain,
% 50.42/33.41 (~v201(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36701, 15064, 36698])).
% 50.42/33.41 tff(36703,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB139) | (~v198(constB139)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB139) | (~v198(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36704,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB139) | (~v198(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36705,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB139) | (~v198(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36704, 36703])).
% 50.42/33.41 tff(36706,plain,
% 50.42/33.41 (v197(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36705, 15078, 36698])).
% 50.42/33.41 tff(36707,plain,
% 50.42/33.41 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB139) | (~v197(constB139)) | v201(constB139))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB139) | (~v197(constB139)) | v201(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36708,plain,
% 50.42/33.41 (((~v197(constB139)) | v201(constB139) | v227(constB139)) <=> (v227(constB139) | (~v197(constB139)) | v201(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36709,plain,
% 50.42/33.41 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB139)) | v201(constB139) | v227(constB139))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB139) | (~v197(constB139)) | v201(constB139)))),
% 50.42/33.41 inference(monotonicity,[status(thm)],[36708])).
% 50.42/33.41 tff(36710,plain,
% 50.42/33.41 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB139)) | v201(constB139) | v227(constB139))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB139) | (~v197(constB139)) | v201(constB139))),
% 50.42/33.41 inference(transitivity,[status(thm)],[36709, 36707])).
% 50.42/33.41 tff(36711,plain,
% 50.42/33.41 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB139)) | v201(constB139) | v227(constB139))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36712,plain,
% 50.42/33.41 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB139) | (~v197(constB139)) | v201(constB139)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36711, 36710])).
% 50.42/33.41 tff(36713,plain,
% 50.42/33.41 (v227(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36712, 15092, 36706, 36702])).
% 50.42/33.41 tff(36714,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB139)) | (~v223(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB139)) | (~v223(constB139, 0)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36715,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB139)) | (~v223(constB139, 0)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36716,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB139)) | (~v223(constB139, 0))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36715, 36714])).
% 50.42/33.41 tff(36717,plain,
% 50.42/33.41 (~v223(constB139, 0)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36716, 15109, 36713])).
% 50.42/33.41 tff(36718,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB139)) | (~v199(constB139)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB139)) | (~v199(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36719,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB139)) | (~v199(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36720,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB139)) | (~v199(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36719, 36718])).
% 50.42/33.41 tff(36721,plain,
% 50.42/33.41 (~v183(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36720, 26326, 36691])).
% 50.42/33.41 tff(36722,plain,
% 50.42/33.41 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB139) | (~v197(constB139)) | v183(constB139))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB139) | (~v197(constB139)) | v183(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36723,plain,
% 50.42/33.41 (((~v197(constB139)) | v183(constB139) | v228(constB139)) <=> (v228(constB139) | (~v197(constB139)) | v183(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36724,plain,
% 50.42/33.41 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB139)) | v183(constB139) | v228(constB139))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB139) | (~v197(constB139)) | v183(constB139)))),
% 50.42/33.41 inference(monotonicity,[status(thm)],[36723])).
% 50.42/33.41 tff(36725,plain,
% 50.42/33.41 (((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB139)) | v183(constB139) | v228(constB139))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB139) | (~v197(constB139)) | v183(constB139))),
% 50.42/33.41 inference(transitivity,[status(thm)],[36724, 36722])).
% 50.42/33.41 tff(36726,plain,
% 50.42/33.41 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB139)) | v183(constB139) | v228(constB139))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36727,plain,
% 50.42/33.41 ((~![VarNext: state_type] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB139) | (~v197(constB139)) | v183(constB139)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36726, 36725])).
% 50.42/33.41 tff(36728,plain,
% 50.42/33.41 (v228(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36727, 26340, 36706, 36721])).
% 50.42/33.41 tff(36729,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB139)) | (~v223(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB139)) | (~v223(constB139, 1)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36730,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | ((~v228(constB139)) | (~v223(constB139, 1)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36731,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | (~v223(VarCurr, 1)))) | (~v228(constB139)) | (~v223(constB139, 1))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36730, 36729])).
% 50.42/33.41 tff(36732,plain,
% 50.42/33.41 (~v223(constB139, 1)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36731, 26357, 36728])).
% 50.42/33.41 tff(36733,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB139, 0) | v223(constB139, 1) | (~v229(constB139)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB139, 0) | v223(constB139, 1) | (~v229(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36734,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | (v223(constB139, 0) | v223(constB139, 1) | (~v229(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36735,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v223(VarCurr, 0) | v223(VarCurr, 1) | (~v229(VarCurr)))) | v223(constB139, 0) | v223(constB139, 1) | (~v229(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36734, 36733])).
% 50.42/33.41 tff(36736,plain,
% 50.42/33.41 (~v229(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36735, 26371, 36732, 36717])).
% 50.42/33.41 tff(36737,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB139) | (~v225(constB139)))) <=> ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB139) | (~v225(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36738,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB139) | (~v225(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36739,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB139) | (~v225(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36738, 36737])).
% 50.42/33.41 tff(36740,plain,
% 50.42/33.41 (~v225(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36739, 26388, 36736])).
% 50.42/33.41 tff(36741,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB139) | (~v224(constB139)))) <=> ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB139) | (~v224(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36742,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB139) | (~v224(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36743,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB139) | (~v224(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36742, 36741])).
% 50.42/33.41 tff(36744,plain,
% 50.42/33.41 (~v224(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36743, 26402, 36740])).
% 50.42/33.41 tff(36745,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB139)) | v223(constB139, 1))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB139)) | v223(constB139, 1))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36746,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | ((~v222(constB139)) | v223(constB139, 1))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36747,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 1))) | (~v222(constB139)) | v223(constB139, 1)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36746, 36745])).
% 50.42/33.41 tff(36748,plain,
% 50.42/33.41 (~v222(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36747, 26413, 36732])).
% 50.42/33.41 tff(36749,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB139) | v224(constB139) | (~v236(constB139)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB139) | v224(constB139) | (~v236(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36750,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB139) | v224(constB139) | (~v236(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36751,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB139) | v224(constB139) | (~v236(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36750, 36749])).
% 50.42/33.41 tff(36752,plain,
% 50.42/33.41 (v224(constB139) | (~v236(constB139))),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36751, 15241, 36748])).
% 50.42/33.41 tff(36753,plain,
% 50.42/33.41 (~v236(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36752, 36744])).
% 50.42/33.41 tff(36754,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB139) | (~v232(constB139)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB139) | (~v232(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36755,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB139) | (~v232(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36756,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB139) | (~v232(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36755, 36754])).
% 50.42/33.41 tff(36757,plain,
% 50.42/33.41 (~v232(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36756, 15255, 36753])).
% 50.42/33.41 tff(36758,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB139)) | (~v88(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB139)) | (~v88(constB139, 1)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36759,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB139)) | (~v88(constB139, 1)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36760,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB139)) | (~v88(constB139, 1))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36759, 36758])).
% 50.42/33.41 tff(36761,plain,
% 50.42/33.41 (~v140(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36760, 15142, 36679])).
% 50.42/33.41 tff(36762,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB139)) | (~v88(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB139)) | (~v88(constB139, 0)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36763,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB139)) | (~v88(constB139, 0)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36764,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB139)) | (~v88(constB139, 0))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36763, 36762])).
% 50.42/33.41 tff(36765,plain,
% 50.42/33.41 (~v139(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36764, 26437, 36683])).
% 50.42/33.41 tff(36766,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v148(constB139)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB139) | v140(constB139) | (~v148(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36767,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v148(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36768,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB139) | v140(constB139) | (~v148(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36767, 36766])).
% 50.42/33.41 tff(36769,plain,
% 50.42/33.41 (~v148(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36768, 15269, 36765, 36761])).
% 50.42/33.41 tff(36770,plain,
% 50.42/33.41 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB139) | v252(constB139) | (~v197(constB139)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB139) | v252(constB139) | (~v197(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36771,plain,
% 50.42/33.41 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB139) | v252(constB139) | (~v197(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36772,plain,
% 50.42/33.41 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB139) | v252(constB139) | (~v197(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36771, 36770])).
% 50.42/33.41 tff(36773,plain,
% 50.42/33.41 (v252(constB139) | (~v197(constB139))),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36772, 15283, 36769])).
% 50.42/33.41 tff(36774,plain,
% 50.42/33.41 (v252(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36773, 36706])).
% 50.42/33.41 tff(36775,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB139)) | (~v223(constB139, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB139)) | (~v223(constB139, 3)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36776,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB139)) | (~v223(constB139, 3)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36777,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB139)) | (~v223(constB139, 3))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36776, 36775])).
% 50.42/33.41 tff(36778,plain,
% 50.42/33.41 (~v223(constB139, 3)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36777, 15298, 36774])).
% 50.42/33.41 tff(36779,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB139)) | v223(constB139, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB139)) | v223(constB139, 3))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36780,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB139)) | v223(constB139, 3))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36781,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB139)) | v223(constB139, 3)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36780, 36779])).
% 50.42/33.41 tff(36782,plain,
% 50.42/33.41 (~v237(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36781, 15309, 36778])).
% 50.42/33.41 tff(36783,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB139) | v237(constB139) | (~v248(constB139)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB139) | v237(constB139) | (~v248(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36784,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB139) | v237(constB139) | (~v248(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36785,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB139) | v237(constB139) | (~v248(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36784, 36783])).
% 50.42/33.41 tff(36786,plain,
% 50.42/33.41 (v232(constB139) | (~v248(constB139))),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36785, 15323, 36782])).
% 50.42/33.41 tff(36787,plain,
% 50.42/33.41 (~v248(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36786, 36757])).
% 50.42/33.41 tff(36788,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB139) | (~v244(constB139)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB139) | (~v244(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36789,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB139) | (~v244(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36790,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB139) | (~v244(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36789, 36788])).
% 50.42/33.41 tff(36791,plain,
% 50.42/33.41 (~v244(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36790, 15338, 36787])).
% 50.42/33.41 tff(36792,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB139) | (~v216(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB139) | (~v216(constB139, 1)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36793,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB139) | (~v216(constB139, 1)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36794,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | v244(constB139) | (~v216(constB139, 1))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36793, 36792])).
% 50.42/33.41 tff(36795,plain,
% 50.42/33.41 (~v216(constB139, 1)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36794, 15352, 36791])).
% 50.42/33.41 tff(36796,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB139)) | v216(constB139, 1))) <=> ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB139)) | v216(constB139, 1))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36797,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | ((~v254(constB139)) | v216(constB139, 1))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36798,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : ((~v254(VarCurr)) | v216(VarCurr, 1))) | (~v254(constB139)) | v216(constB139, 1)),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36797, 36796])).
% 50.42/33.41 tff(36799,plain,
% 50.42/33.41 (~v254(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36798, 15363, 36795])).
% 50.42/33.41 tff(36800,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB139) | (~v231(constB139)))) <=> ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB139) | (~v231(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36801,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB139) | (~v231(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36802,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB139) | (~v231(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36801, 36800])).
% 50.42/33.41 tff(36803,plain,
% 50.42/33.41 (~v231(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36802, 15391, 36782])).
% 50.42/33.41 tff(36804,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB139) | (~v221(constB139)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB139) | (~v221(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36805,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB139) | (~v221(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36806,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB139) | (~v221(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36805, 36804])).
% 50.42/33.41 tff(36807,plain,
% 50.42/33.41 (~v221(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36806, 26489, 36748])).
% 50.42/33.41 tff(36808,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB139) | v231(constB139) | (~v243(constB139)))) <=> ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB139) | v231(constB139) | (~v243(constB139)))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36809,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB139) | v231(constB139) | (~v243(constB139)))),
% 50.42/33.41 inference(quant_inst,[status(thm)],[])).
% 50.42/33.41 tff(36810,plain,
% 50.42/33.41 ((~![VarCurr: state_type] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB139) | v231(constB139) | (~v243(constB139))),
% 50.42/33.41 inference(modus_ponens,[status(thm)],[36809, 36808])).
% 50.42/33.41 tff(36811,plain,
% 50.42/33.41 (~v243(constB139)),
% 50.42/33.41 inference(unit_resolution,[status(thm)],[36810, 15405, 36807, 36803])).
% 50.42/33.41 tff(36812,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB139) | v255(constB139))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB139) | v255(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36813,plain,
% 50.42/33.41 ((v255(constB139) | v243(constB139)) <=> (v243(constB139) | v255(constB139))),
% 50.42/33.41 inference(rewrite,[status(thm)],[])).
% 50.42/33.41 tff(36814,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB139) | v243(constB139))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v243(constB139) | v255(constB139)))),
% 50.42/33.41 inference(monotonicity,[status(thm)],[36813])).
% 50.42/33.41 tff(36815,plain,
% 50.42/33.41 (((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB139) | v243(constB139))) <=> ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB139) | v255(constB139))),
% 50.42/33.42 inference(transitivity,[status(thm)],[36814, 36812])).
% 50.42/33.42 tff(36816,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | (v255(constB139) | v243(constB139))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36817,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v255(VarCurr) | v243(VarCurr))) | v243(constB139) | v255(constB139)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36816, 36815])).
% 50.42/33.42 tff(36818,plain,
% 50.42/33.42 (v255(constB139)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36817, 15416, 36811])).
% 50.42/33.42 tff(36819,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB139)) | (~v216(constB139, 2)))) <=> ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB139)) | (~v216(constB139, 2)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36820,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | ((~v255(constB139)) | (~v216(constB139, 2)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36821,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v255(VarCurr)) | (~v216(VarCurr, 2)))) | (~v255(constB139)) | (~v216(constB139, 2))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36820, 36819])).
% 50.42/33.42 tff(36822,plain,
% 50.42/33.42 (~v216(constB139, 2)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36821, 15433, 36818])).
% 50.42/33.42 tff(36823,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, 2) | (~v215(constB139)) | v254(constB139))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB139, 2) | (~v215(constB139)) | v254(constB139))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36824,plain,
% 50.42/33.42 ((v216(constB139, 2) | v254(constB139) | (~v215(constB139))) <=> (v216(constB139, 2) | (~v215(constB139)) | v254(constB139))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36825,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, 2) | v254(constB139) | (~v215(constB139)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, 2) | (~v215(constB139)) | v254(constB139)))),
% 50.42/33.42 inference(monotonicity,[status(thm)],[36824])).
% 50.42/33.42 tff(36826,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, 2) | v254(constB139) | (~v215(constB139)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB139, 2) | (~v215(constB139)) | v254(constB139))),
% 50.42/33.42 inference(transitivity,[status(thm)],[36825, 36823])).
% 50.42/33.42 tff(36827,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB139, 2) | v254(constB139) | (~v215(constB139)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36828,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v216(VarCurr, 2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB139, 2) | (~v215(constB139)) | v254(constB139)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36827, 36826])).
% 50.42/33.42 tff(36829,plain,
% 50.42/33.42 ((~v215(constB139)) | v254(constB139)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36828, 15447, 36822])).
% 50.42/33.42 tff(36830,plain,
% 50.42/33.42 (~v215(constB139)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36829, 36799])).
% 50.42/33.42 tff(36831,plain,
% 50.42/33.42 ($false),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36830, 36671])).
% 50.42/33.42 tff(36832,plain,(~(constB139 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.42/33.42 tff(36833,assumption,(constB149 = sK_VarCurr), introduced(assumption)).
% 50.42/33.42 tff(36834,plain,
% 50.42/33.42 (v215(constB149) <=> v215(sK_VarCurr)),
% 50.42/33.42 inference(monotonicity,[status(thm)],[36833])).
% 50.42/33.42 tff(36835,plain,
% 50.42/33.42 (v215(sK_VarCurr) <=> v215(constB149)),
% 50.42/33.42 inference(symmetry,[status(thm)],[36834])).
% 50.42/33.42 tff(36836,plain,
% 50.42/33.42 (v215(constB149)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[34, 36835])).
% 50.42/33.42 tff(36837,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36838,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36839,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36838, 36837])).
% 50.42/33.42 tff(36840,plain,
% 50.42/33.42 (~v88(constB149, 2)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36839, 26020, 18975])).
% 50.42/33.42 tff(36841,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36842,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36843,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36842, 36841])).
% 50.42/33.42 tff(36844,plain,
% 50.42/33.42 (~v88(constB149, 0)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36843, 14930, 19048])).
% 50.42/33.42 tff(36845,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36846,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36847,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36846, 36845])).
% 50.42/33.42 tff(36848,plain,
% 50.42/33.42 (v88(constB149, 1)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36847, 15014, 19006])).
% 50.42/33.42 tff(36849,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36850,plain,
% 50.42/33.42 ((v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149)) <=> (v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36851,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149)))),
% 50.42/33.42 inference(monotonicity,[status(thm)],[36850])).
% 50.42/33.42 tff(36852,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))),
% 50.42/33.42 inference(transitivity,[status(thm)],[36851, 36849])).
% 50.42/33.42 tff(36853,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36854,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36853, 36852])).
% 50.42/33.42 tff(36855,plain,
% 50.42/33.42 (v143(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36854, 26042, 36848, 36844, 36840])).
% 50.42/33.42 tff(36856,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB149) | (~v143(constB149)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB149) | (~v143(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36857,plain,
% 50.42/33.42 (((~v143(constB149)) | v142(constB149)) <=> (v142(constB149) | (~v143(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36858,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB149) | (~v143(constB149))))),
% 50.42/33.42 inference(monotonicity,[status(thm)],[36857])).
% 50.42/33.42 tff(36859,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB149) | (~v143(constB149)))),
% 50.42/33.42 inference(transitivity,[status(thm)],[36858, 36856])).
% 50.42/33.42 tff(36860,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36861,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB149) | (~v143(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36860, 36859])).
% 50.42/33.42 tff(36862,plain,
% 50.42/33.42 (v142(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36861, 26056, 36855])).
% 50.42/33.42 tff(36863,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB149)) | v198(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB149)) | v198(constB149))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36864,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | ((~v142(constB149)) | v198(constB149))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36865,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v198(VarCurr))) | (~v142(constB149)) | v198(constB149)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36864, 36863])).
% 50.42/33.42 tff(36866,plain,
% 50.42/33.42 (v198(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36865, 15053, 36862])).
% 50.42/33.42 tff(36867,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB149)) | (~v201(constB149)))) <=> ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB149)) | (~v201(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36868,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB149)) | (~v201(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36869,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB149)) | (~v201(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36868, 36867])).
% 50.42/33.42 tff(36870,plain,
% 50.42/33.42 (~v201(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36869, 15064, 36866])).
% 50.42/33.42 tff(36871,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB149) | (~v198(constB149)))) <=> ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB149) | (~v198(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36872,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB149) | (~v198(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36873,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB149) | (~v198(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36872, 36871])).
% 50.42/33.42 tff(36874,plain,
% 50.42/33.42 (v197(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36873, 15078, 36866])).
% 50.42/33.42 tff(36875,plain,
% 50.42/33.42 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB149) | (~v197(constB149)) | v201(constB149))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB149) | (~v197(constB149)) | v201(constB149))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36876,plain,
% 50.42/33.42 (((~v197(constB149)) | v201(constB149) | v227(constB149)) <=> (v227(constB149) | (~v197(constB149)) | v201(constB149))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36877,plain,
% 50.42/33.42 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB149)) | v201(constB149) | v227(constB149))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB149) | (~v197(constB149)) | v201(constB149)))),
% 50.42/33.42 inference(monotonicity,[status(thm)],[36876])).
% 50.42/33.42 tff(36878,plain,
% 50.42/33.42 (((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB149)) | v201(constB149) | v227(constB149))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB149) | (~v197(constB149)) | v201(constB149))),
% 50.42/33.42 inference(transitivity,[status(thm)],[36877, 36875])).
% 50.42/33.42 tff(36879,plain,
% 50.42/33.42 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB149)) | v201(constB149) | v227(constB149))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36880,plain,
% 50.42/33.42 ((~![VarNext: state_type] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB149) | (~v197(constB149)) | v201(constB149)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36879, 36878])).
% 50.42/33.42 tff(36881,plain,
% 50.42/33.42 (v227(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36880, 15092, 36874, 36870])).
% 50.42/33.42 tff(36882,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB149)) | (~v223(constB149, 0)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB149)) | (~v223(constB149, 0)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36883,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | ((~v227(constB149)) | (~v223(constB149, 0)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36884,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v223(VarCurr, 0)))) | (~v227(constB149)) | (~v223(constB149, 0))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36883, 36882])).
% 50.42/33.42 tff(36885,plain,
% 50.42/33.42 (~v223(constB149, 0)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36884, 15109, 36881])).
% 50.42/33.42 tff(36886,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB149)) | v223(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB149)) | v223(constB149, 0))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36887,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | ((~v222(constB149)) | v223(constB149, 0))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36888,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v222(VarCurr)) | v223(VarCurr, 0))) | (~v222(constB149)) | v223(constB149, 0)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36887, 36886])).
% 50.42/33.42 tff(36889,plain,
% 50.42/33.42 (~v222(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36888, 15120, 36885])).
% 50.42/33.42 tff(36890,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB149)) | (~v88(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB149)) | (~v88(constB149, 1)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36891,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB149)) | (~v88(constB149, 1)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36892,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB149)) | (~v88(constB149, 1))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36891, 36890])).
% 50.42/33.42 tff(36893,plain,
% 50.42/33.42 (~v139(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36892, 15131, 36848])).
% 50.42/33.42 tff(36894,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB149)) | (~v88(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB149)) | (~v88(constB149, 1)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36895,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB149)) | (~v88(constB149, 1)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36896,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB149)) | (~v88(constB149, 1))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36895, 36894])).
% 50.42/33.42 tff(36897,plain,
% 50.42/33.42 (~v140(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36896, 15142, 36848])).
% 50.42/33.42 tff(36898,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v200(constB149)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB149) | v140(constB149) | (~v200(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36899,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v200(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36900,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v200(VarCurr)))) | v139(constB149) | v140(constB149) | (~v200(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36899, 36898])).
% 50.42/33.42 tff(36901,plain,
% 50.42/33.42 (~v200(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36900, 15156, 36897, 36893])).
% 50.42/33.42 tff(36902,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB149)) | v88(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB149)) | v88(constB149, 0))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36903,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB149)) | v88(constB149, 0))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36904,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB149)) | v88(constB149, 0)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36903, 36902])).
% 50.42/33.42 tff(36905,plain,
% 50.42/33.42 (~v141(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36904, 26106, 36844])).
% 50.42/33.42 tff(36906,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | ((~v166(constB149)) | v200(constB149) | v141(constB149))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (~v166(constB149)) | v200(constB149) | v141(constB149))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36907,plain,
% 50.42/33.42 ((v141(constB149) | (~v166(constB149)) | v200(constB149)) <=> ((~v166(constB149)) | v200(constB149) | v141(constB149))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36908,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB149) | (~v166(constB149)) | v200(constB149))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | ((~v166(constB149)) | v200(constB149) | v141(constB149)))),
% 50.42/33.42 inference(monotonicity,[status(thm)],[36907])).
% 50.42/33.42 tff(36909,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB149) | (~v166(constB149)) | v200(constB149))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (~v166(constB149)) | v200(constB149) | v141(constB149))),
% 50.42/33.42 inference(transitivity,[status(thm)],[36908, 36906])).
% 50.42/33.42 tff(36910,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (v141(constB149) | (~v166(constB149)) | v200(constB149))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36911,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v166(VarCurr)) | v200(VarCurr))) | (~v166(constB149)) | v200(constB149) | v141(constB149)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36910, 36909])).
% 50.42/33.42 tff(36912,plain,
% 50.42/33.42 (~v166(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36911, 15181, 36905, 36901])).
% 50.42/33.42 tff(36913,plain,
% 50.42/33.42 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB149) | v166(constB149) | (~v197(constB149)))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB149) | v166(constB149) | (~v197(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36914,plain,
% 50.42/33.42 (((~v197(constB149)) | v166(constB149) | v241(constB149)) <=> (v241(constB149) | v166(constB149) | (~v197(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36915,plain,
% 50.42/33.42 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB149)) | v166(constB149) | v241(constB149))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB149) | v166(constB149) | (~v197(constB149))))),
% 50.42/33.42 inference(monotonicity,[status(thm)],[36914])).
% 50.42/33.42 tff(36916,plain,
% 50.42/33.42 (((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB149)) | v166(constB149) | v241(constB149))) <=> ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB149) | v166(constB149) | (~v197(constB149)))),
% 50.42/33.42 inference(transitivity,[status(thm)],[36915, 36913])).
% 50.42/33.42 tff(36917,plain,
% 50.42/33.42 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB149)) | v166(constB149) | v241(constB149))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36918,plain,
% 50.42/33.42 ((~![VarNext: state_type] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB149) | v166(constB149) | (~v197(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36917, 36916])).
% 50.42/33.42 tff(36919,plain,
% 50.42/33.42 (v241(constB149) | (~v197(constB149))),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36918, 15198, 36912])).
% 50.42/33.42 tff(36920,plain,
% 50.42/33.42 (v241(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36919, 36874])).
% 50.42/33.42 tff(36921,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB149)) | (~v223(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB149)) | (~v223(constB149, 2)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36922,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | ((~v241(constB149)) | (~v223(constB149, 2)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36923,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v241(VarCurr)) | (~v223(VarCurr, 2)))) | (~v241(constB149)) | (~v223(constB149, 2))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36922, 36921])).
% 50.42/33.42 tff(36924,plain,
% 50.42/33.42 (~v223(constB149, 2)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36923, 15216, 36920])).
% 50.42/33.42 tff(36925,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB149)) | v223(constB149, 2))) <=> ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB149)) | v223(constB149, 2))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36926,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | ((~v224(constB149)) | v223(constB149, 2))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36927,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v224(VarCurr)) | v223(VarCurr, 2))) | (~v224(constB149)) | v223(constB149, 2)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36926, 36925])).
% 50.42/33.42 tff(36928,plain,
% 50.42/33.42 (~v224(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36927, 15227, 36924])).
% 50.42/33.42 tff(36929,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB149) | v224(constB149) | (~v236(constB149)))) <=> ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB149) | v224(constB149) | (~v236(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36930,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB149) | v224(constB149) | (~v236(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36931,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB149) | v224(constB149) | (~v236(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36930, 36929])).
% 50.42/33.42 tff(36932,plain,
% 50.42/33.42 (~v236(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36931, 15241, 36928, 36889])).
% 50.42/33.42 tff(36933,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB149) | (~v232(constB149)))) <=> ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB149) | (~v232(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36934,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB149) | (~v232(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36935,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB149) | (~v232(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36934, 36933])).
% 50.42/33.42 tff(36936,plain,
% 50.42/33.42 (~v232(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36935, 15255, 36932])).
% 50.42/33.42 tff(36937,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v148(constB149)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB149) | v140(constB149) | (~v148(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36938,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v148(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36939,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v148(VarCurr)))) | v139(constB149) | v140(constB149) | (~v148(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36938, 36937])).
% 50.42/33.42 tff(36940,plain,
% 50.42/33.42 (~v148(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36939, 15269, 36897, 36893])).
% 50.42/33.42 tff(36941,plain,
% 50.42/33.42 (((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB149) | v252(constB149) | (~v197(constB149)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB149) | v252(constB149) | (~v197(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36942,plain,
% 50.42/33.42 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | (v148(constB149) | v252(constB149) | (~v197(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36943,plain,
% 50.42/33.42 ((~![VarNext: state_type] : (v148(VarNext) | v252(VarNext) | (~v197(VarNext)))) | v148(constB149) | v252(constB149) | (~v197(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36942, 36941])).
% 50.42/33.42 tff(36944,plain,
% 50.42/33.42 (v252(constB149) | (~v197(constB149))),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36943, 15283, 36940])).
% 50.42/33.42 tff(36945,plain,
% 50.42/33.42 (v252(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36944, 36874])).
% 50.42/33.42 tff(36946,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB149)) | (~v223(constB149, 3)))) <=> ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB149)) | (~v223(constB149, 3)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36947,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | ((~v252(constB149)) | (~v223(constB149, 3)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36948,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v252(VarCurr)) | (~v223(VarCurr, 3)))) | (~v252(constB149)) | (~v223(constB149, 3))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36947, 36946])).
% 50.42/33.42 tff(36949,plain,
% 50.42/33.42 (~v223(constB149, 3)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36948, 15298, 36945])).
% 50.42/33.42 tff(36950,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB149)) | v223(constB149, 3))) <=> ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB149)) | v223(constB149, 3))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36951,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | ((~v237(constB149)) | v223(constB149, 3))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36952,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : ((~v237(VarCurr)) | v223(VarCurr, 3))) | (~v237(constB149)) | v223(constB149, 3)),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36951, 36950])).
% 50.42/33.42 tff(36953,plain,
% 50.42/33.42 (~v237(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36952, 15309, 36949])).
% 50.42/33.42 tff(36954,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB149) | v237(constB149) | (~v248(constB149)))) <=> ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB149) | v237(constB149) | (~v248(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36955,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | (v232(constB149) | v237(constB149) | (~v248(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36956,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v232(VarCurr) | v237(VarCurr) | (~v248(VarCurr)))) | v232(constB149) | v237(constB149) | (~v248(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36955, 36954])).
% 50.42/33.42 tff(36957,plain,
% 50.42/33.42 (v232(constB149) | (~v248(constB149))),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36956, 15323, 36953])).
% 50.42/33.42 tff(36958,plain,
% 50.42/33.42 (~v248(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36957, 36936])).
% 50.42/33.42 tff(36959,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB149) | (~v244(constB149)))) <=> ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB149) | (~v244(constB149)))),
% 50.42/33.42 inference(rewrite,[status(thm)],[])).
% 50.42/33.42 tff(36960,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB149) | (~v244(constB149)))),
% 50.42/33.42 inference(quant_inst,[status(thm)],[])).
% 50.42/33.42 tff(36961,plain,
% 50.42/33.42 ((~![VarCurr: state_type] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB149) | (~v244(constB149))),
% 50.42/33.42 inference(modus_ponens,[status(thm)],[36960, 36959])).
% 50.42/33.42 tff(36962,plain,
% 50.42/33.42 (~v244(constB149)),
% 50.42/33.42 inference(unit_resolution,[status(thm)],[36961, 15338, 36958])).
% 50.42/33.42 tff(36963,plain,
% 50.42/33.42 (((~![VarCurr: state_type] : (v244(VarCurr) | (~v216(VarCurr, 1)))) | (v244(constB149) | (~v216(constB149, 1)))) <